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Document 1731996
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SLCT
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lCIi C FI;lCEIr.
&9'
B.Stat.
Mainn Subj,ect:
Sub.i
Statistics Ancillary 1:
ication
Part
Sub.iect
Numher.nf
I
English
2
II
Language
I
m
Computer Application (Ancillarv)
3
trI
Actuarial Science (Anci llarv)
4
m
l0
nr.ill
Science
Maximum Marks
200
r00
250
250
700
Scheme
Ycar
Subject Title
Paper No. ancl Title
Paperl
Part I
(Enelish)
I Year
Paper
Paper
Part II
(Language)
Part III
Computer
Application
Part III
Statistics
II
Year
B.ffi-
3 Hours
3 Hours
3 Hours
r00
r00
r00
3 Hours
3 Hours
3 Hours
50
70
3 Hours
70
3 Hours
3 Hours
3 Hours
50
70
3 Hours
3 Hours
3 Hours
3 Hours
3 Hours
70
70
70
70
50
3 Hours
3 Hours
50
?s
Theory
Practical
-
alculus
ata Analysis &
--
re through
'C'
PaperI-Financio,
'g.*;t
*rn#
Paper III - Analysis
Paper [V
Statistical Methods
Paper V - Statistical Inference
Paper VI - Linear Models
Paper V[ - Practical I
-
raper lu - Introduction to object orientecl
programming and C++land u,indow/
programming Theory
Prautical
Project rvork
Year
Paper II - Probabiliry Models and Life Trbl.
Paper Itr- Life contingencies
Paper IV - Practical
Paper V
Design and Analysis of Experiments
Paper IX - Statistical process control an;l
_
Industrial Statistics
PaperX-Practical II
Note: Set each Question p"p
the model question papers.
0
25
,
Computer
Application
III
25
Language
Theory
III
Part III
Actuarial
Science
Part III
S tatistics
IVIax.
IVIarks
[email protected]
Part III
Actuarial
Science
Part III
Statistics
Part
Duration
I
Part III
Computer
Application
II
A
Project work
25
3 Hours
3 Hours
3 Hours
40
3
Hours
70
3
Hours
70
40
50
J Hours
70
70
:'...-
/7
;
-
r ')
'trrr
1r
i
'
lvlain Sub.iect: Statistics Ancillary 1:
Part
Sub.iect
I
English
2
Language
m
m
Computer Application (Anci llary)
Actuarial Science (Anci Ilary)
Statistics (Main)
Year
Subject Title
Part
I
(Enelish)
Part
I Year
tr
m
Computer
Application
Part III
Statistics
Part
Itr
Computer
Application
Part
III
200
r00
250
250
700
I
3
4
l0
Scheme
Paper No. and Title
Paper
Paper
Paper
(Languaee)
Part
I
Duration
B.com Pattern
II
-
I
Year
Science
Part Itr
Part
m
Computer
Application
Year
Part Itr
Actuarial
Science
Part III
Statistics
3 Hours
3 Hours
3 Hours
IVIax.
VIarks
r00
r00
r00
Paper I- Fundamentals of Computer
Theory
Practical
I
Paper - Operational Calculus
Paper II - Elements of Data Analysis
3 Hours
3 Hours
3 Hours
70
3 Hours
10
3 Hours
50
3 Hours
3 Hours
25
3 Hours
3 Hour.s
3 Hours
3 Hours
3 Hours
70
70
10
10
50
50
25
&
Basic Probability
II Introduction to Database Man:.rgement
& Data Structure through 'C' Language
Theory
Practical
Paper I- Financial & Investment Analyr,is
Paper
Actuarial
Statistics
III
Application Ancillarv2: Actrrari:rt Sci
Numberof papers
iVlaximum Marks
lI
u
II
B.stat.
Paper III - Analysis
Paper IV
Statistical Merhods
Paper V - Statistical Inference
Paper VI - Linear Models
Paper VII - Practical I
Paper III - Introduction to object orientert
programming and C++, and rvindows
-
programming
-
Theory
Prae tical
Proiect work
Paper II - Probability Models and Life Table
Paper Itr- Life contingencies
Paper [V - Practical
Paper VItr - Sample Survey Design &
Design and Analysis of Experiments
Paper D( - Statistical Process control and
Industrial Statistics
PaperX-Practical II
3 Hours
3 Hours
50
25
25
3 Hours
3 Hours
3 Hours
40
3 Hours
70
3 Hours
3 Flours
70
Project work
Note: Set each Question Papers (Part III) with Questions for l50dc of max. marks,
the model question papers.
70
as in
10
70
40
50
I
Part
llow
1.
III - Computer Applicatioi - Paper I -
Fundamentals of Computer
Max. Marks for theory: 50 : For Practical: 25
computers work: An over view of computer systems - Processor - Memory - VO
devices- Storage devices
- Software (System Software and Application Software) - Shapes
of computers today (Super, main frame, mini and personal corlputers).
Processing data: How computers represent data (Bits and Bytes, text codes)
2.
- How
computer process data (the CPU, Memory ROM and RAM) - Factors affecting processing
speed (How registers affect speed, Memory and computing power, The computer''s internal
clock, The Bus viz. Data Bus and Address Bus, Cache Memory, Passing Math operations to
the Math co- processor) - The CPUs used in personnel computers (The Intel processor', the
Motorola processors, RISC processors, Parallel processing).
3. Interacting rvith
computers: The key board (standard i.ey board layout, how
the
computer accepts input from the key board) - The Mouse (t.re inner working o[ a Mouse,
the Trackball and Trackpad, Pointers
in the key board) - Oth,Jrs input devices (Pens, Touch
Screens, Barcode Readers, Image Scanners and Optical Character Recognition, Microphone
and Voice Recognition)
Monitors)
-
- The monitor (CRT monitors, the Video Controller,
Flat-Panel
Printers (Inkjet printers,. LaserJet printers, dot-matrix printers, thermal wax
printers and plotter) - Sound Systems - connecting VO devices to the computer (Serial and
Parallel Ports, expansion of slots and boards, SCSD
4.
Storing information in computers: Types of storage devices-
i)
Magnetic storage devices (Diskette drives, types of diskettes, how data.is organised on
a
disk) - Hard Disk - Removable Hard Disk - Tape Drives.
ii)Optical storage devises (CDROM
Measuring
Drive
-
CD-Recordable, WCRM disks and Photo CD) -
Performance (Average Acccss Time, Data Tran.sier
Rlte, Drivc-
Interface Standards).
5. Networks and Data Communications: The uses of a neiwork (Simultaneous Access,
Shared Peripheral Devices. Personal Communication, Easier Backup)
networks (LAN, Connecting Networks, WAN)
-
Categories ol
- Network Topologies for LAN (The Bus
Topology, The Star Topology, The Ring topology)
-
Network ivledia and Hardware
(Twisted Pair Wire, Coaxial Cable, Fiber Optic Cable, Wireless Links, The Netrvork
Interface Card and Network Protocols)
a
- Network Software - Data Communication
over
I
Telephone Lines _
Modem
[:rffi:;"
For
secr
ns
6'op..rti'
I-
lff
C.n
,
5 *"tult*'
ec,i g rv,h
;.'i.,
;;
;'::1.,
ffice Networks)
d_"1Hi::I::
Tl'T3 and
- using
n
n
ATM)'
::*i'}:;::':1,,,., -
rime:
2oh'urs
rd com mands'
Ru ; ;'ff.:3t;Ir:::
[:-,"::-,1#:
:, uti ry Software).
ill:I:l
ri
7.
Marks:
for theory
rntroducr
practicals
tion to word-processins ancl 10 for practicals
Tirne: 25 hour
lcessing packages,
;*rut DTB
rnanagernent:
spreaclsheets
10
and
i)
Uses
cratabasc
of.W
ii)Desktop
Controls
:
rexr - Editing
rexr - Formarrins
.:;iffi:H;:-a DTPEnrerins
versus
-
iii) Spread ,l.
worc Processing
Page Lavout
Layout and
*o D
r"**.r;:"r:.::rd
'u*t
'
oni:I.,:r;1,:j1"ffi
ts for
p.or.,,
data, Desisning
rhe workshee
the workshr
pri n,in
g
,,.
- Tvpe
;ilT:,
home
rexr.
Contrors
-
Graphic
in Business'
,r*, - i*ff:T;Hi,
jil
;.::
il:i
;:':i,
:'1
Jff
:
;:.:;.: :l:,
T,:ffi
other
HI
iv) Database
management:
The Database
GIat_file Databases,
srructure, Other
rhe rerational
Darabase srufiures,
Database
the
DBMs)
- working wirh
Tables, u,.*LtjDatabase
tng Records'
a I)atabase (creating
Sorting Records,
euerying a Database).
,ur"**r.;;" ;j:::.
' ff :ffi:;1;[{1'ili};:r;i,llrorj'ac'rica^
Appricarion
Connection,
M.de
web, onrin.
,lJ:":orld^wide
- Access'
rime: 25hour
of Internet (Email'
News Telnet,
,..r,'ttt
ces and BBss'
Internet Features
in
o'orro,s)
m,,,n,i.ro
*:
T,..H
:#ljl [*ll i:; :,,,:il,., J: :;' l
s :['il:: T,,::".:..":#llHii
_; ;;.:_:::,:::
:j :: :'
Getting Images
into computer (Scanners
and Camera.s,
Erectronics photographs,-Clipar.t)
:
_
-{
a
I
part III
- Statisti
1' Differential calcul
s:
s-
paper, Oo..orional
Higher deriv;rri.,-" ^-
,
Calculus
Max. Marks.; 70
"' valle theor=no''t' Derivatives of
;;""ffi :;ilil:: Mean
-.",j:.:,llll":^'
lvrty and points
- Indeterminate rorms
of i
hyperb<
of funct
-
Curvarure
Limits o,on,
nd continuity
2'
-
o o r,ro.rou's
,;:,];::
partrat
"J;:::theorem - Funcr,ol'''n's
Differentia,,on _r*ototes
Differentii ,,
Integral Calculus:
Introductior rn i-r^
ralcalcutus
formu.la
- Application of ,J:::':_]"tt
3 o.ai.,u.j :,T,1..,#1#H$i;:,':::'"
:Tr,:,.;::r..:,::."J5j''ear -
ear homogeneous
Laplace transforms:
Laplace transform
transform
of derivatives and
tntegrals
Differentiatiron
functions
-
Numer,..,
_'J
srse transform
- Invr
- Apprications.
5' Fourier series: periodic
-
,""r.";:.
#::,
(Marks:20
and integration
of transform
Hrs:40)
_ Red,,^r.
il;Hl
variabre separabre
Firrt ordcr
J;::,
Shifting
variables
il:'j;:Tiffi,.
order
First
- Expansion
- r*"o,rr:.ttnttu'
(Marks:3O
-
serles
.,
Areas and
4'
Leb'r':u's'lhe
-
:":,
r
:l:J"nsran
Hrs:25)
Linearity
of the t-axis Unit
-
-
Laprace
step fun*ion
Convo'lution partiar
fractions
(ivla;ks:Is Hrs:15)
-
fun*ion" .rr_:_
rormuras Fun*ions
having
expansion.
Lectures: 4 hours
per
Main Text books:
- rou.i.r series - Eurer
ffi;;l;"::::,':::":,.,
/ rvrrvu - EVen anci odd
funct.
(lVlarks:l,
week.
Tutor-ial:
'
,.r:;;
-
Half
ranse
t hour per week.
Engineering Mathematics,
vor. r, s.s. Sasrry, prentice
(Sections 3.2.3,
Har.
3.2.6, 3.3.4,
3.3..6, 3.3.7, ,.r.r,
., J.3.9,
,.r.., 4.r, r.r.3,
5.r.r, 5.2,5.2.r,5.2.2,5.2.3,
4.2.4, 4.3.r,4.3.5,
' 5'2'2' 5'2'3' 5'2'4'5'3'
o,,r"rl,"'r.;
5. r,
5'3.1).
,.,,
2. calculus
,]
Geometrv' Thomas
"r,
Finnev, 6'h Ed.,
(sections , r.,
r.rar rsa.
l
r,
,:',Xl,tic
3. Advanced Engineering
Mathrmati cs' E' Karzig'
transforms and
Fourier
-
periodic
series)
\,s
wiley Eastern.
(sections of
Laprace
-
v
6
Draw Progranrs'
Graphics Software (Paint Programs, Photo Manipulation Programs'
10.
computer Aided Drafting Programs , 3-D Modeling Programs).
System
systems: The Information System Department (Computer Scientists'
Information
Writers' Hardware ot'
Analysts, Programmers, User Assistance Architects, Technical
and Support Personnel'
Software Purchase Agents, System or Network Manages, Trliners
Hardware Maintenance Technicians)
- Types of Information System (Office Automation
Support Systems' Expert Systems) Systems, Transaction Processing Systems, Decision
stem Designs' Development'
The System Development Life Cycle (Needs Analysis, S)
Implementation,. Maintenance)'
Time: 20 hours
Algorithms and
8. Creating Computer Programs: Program control Flow - Variables programming - Evolution ol
Functions - Structured programming - Object oriented
For sections 8 -
l0
Marks:
15
for theory
level anguages)
programming languages (Machine, Assembly and high
-
Third generation
languages(FORTRAN,COBOL,BASIC'PASCAL'C'C++)-Fourthgeneratron
ml\cro languages' Authoring
languages (VISUAL BASIC, Application specific
(Artificial intelligence) - The process of
environments) - Fifth generation languages
implementation
programming (Needs analysis, System design, develooment'
source codc
special purpose programming tools (Third party libraries'
crcating simple programs irt C
resource editors, case and code generators) -
maintenance)
analysers,
(Input
-
and
-
output Statements
-
Arithmetic, Logical and control Statements
-
Arrays)'
iVlarks:l5fortheoryand20forpracticalsTime:25hours
- IIse of Spreadsheet and Word
Practicals: Operating System (DOS, UND( and Windows)
in C foi Statistical and Numerical
Processing Programs - Writing Simple programs
Numerical Integration)
computations (computing Basic Statistics and for
Tutorial: t hour Per week
Lectures: 4 hours Per rveek
Text Books:
1.
2nd Ed'' Tata NIcG.aw
Peter Norton's Introduction to Computers'
Hill'
2. Programming in Ansi C', E' Balguruswamy' 2nd Ed'' Tata McGLaw
3. Schaum's Series: Programming in C' Byron S' Gottfried'
i^
Hill'
Part
1'
III - Statistics
- Paper
II ' Elements
of Data Analysis ancl Basic probability
lvlu.r. Marks; 70
Introduction Statistical Data and Statistical Methocls:
Sratistical Data
Presentation, Analysis and interpretation of, Statistical
Datr
omission
of
important factor
confusion
of
association and causation
failure to define unirs
-
-
carelessness
-
Marks: 3
4'
-
Pictographs
-
concealed classification
Characteristic of Univariate
-
Data:
Ogives)
-
-
o[ procedures)
or.riline
Research
-
primary
of data from different sources.
-
TabLrlar presenra[ion
Line diagrams - Curves using arithmeric scales
lVlarks:5
Statistical Maps.
frequency distributions
non comparable clata -
Tilne: 5 ltrs.
Statistical Tables and Graphs: Text presentation
charts
-
- Suitability of data - Comparability
- Charts -
-
-
Graphical
Semi-logarithmic
Time:5hrs.
Frequency distribution (Construction
Measures
-
-
Curves of
of Central Tendencies (Arithmeric
Mean.
Median, Mode, Geometric Mean, Harmonic Mean - their merits
and denrerits) - partitiol
values - Measures of dispersion (Range
- Quartile deviation - Mean deviation - Standlrd
deviation - Absolute and relative measure of dispersio n Lorenz
Curve - Moments (Raw
moments and central moments) Measures of skewness and
kurtosis (Moment coefhcients,
Karl-Pearson's coefficient, coefficient based on partition values
)
for grouping error.
IVIarks: l5
Tirttc: 25 hrs.
5'
- Correction of moments
Characteristics of Bivariate Data (Linear correlation): rJivariate data (Raw
data and
frequency distribution)' Correlation theory (Least square te,:hnique for
firting
of
line
-
Standard error
variation
of
regression estimate
- The product moment formula -
- The
Computation)
- Newton's formula - Interpolation
inteqpolation.
ilIarhs:
6
-
Colrelation of grouped dara -
Marks:
Interpolation and graduation: Simple interpolation
polynomial
-
I0
Dj,ferences
of statistical series
5
srraighr
correlation coefficient and explained
Correlation of ranked data.
6,
-
Ti;'rc: 5 hrs
Statistical Data: Collecting statistical data (Methods
presentation
-
collection.
Some improprieries (bias
poorry desi-s,red experiments)
Marks: 2
and secondary sources
3'
non-sequrilrr
insufficient data
misreading tocars
methods.
2'
-
-
-
-
Time: 5 hrs.
-
Differences
of
a
- Graduation - Inverse
Time: 5l:r:s.
$
'
7
Random experiment: Sample space events- Algebra of uvents - kinds of probability
(classical and frequency) - Axiomatic probability - Probrbiliry space - Theorems
on
probability-'Conditional probability- Baye's formula - Indepepclenr evenrs.
lVlurks:
8'
Random variablcs: Distribution function
-
15
Thne: 20 hours
Discrcte ancl continues lanrlonr var.iablcs-
Probability density functions- Bivatriate rv's- bivarriate dis'r:ibution function and density
functions - Marginal distributions- conditional distributions - Independence of rwo random
variables.
9.
Marks:
15
Time: 20lrcurs
Mathematical expectation: Elementary properties of expectation- Expected value of a
function of a random variable- mean- variance moments- Mloment Generating Function expected value of functions of two random variables- addition and multiplication theorem
on expectation-covariance and correlation coefficient - conditional expectation and variance
- Bivariate moments
10.
- Bivatiate m.g.f.
Discrete distributions: Uniform- Bernollie-
-
Binomial
Hypergeometric
-
-
Negarivc
Ivlultinomial (Definition, Properties, MGF, Momepts.
Examples and applications)
I
15 Time: 20lrcurs
Binomial - Poisson Geometric
Nlarks:
Markr:
l. Continuous distributions: Uniform
-
l0
Exponential - Gamma, Beta
Time:
l0 hours
- Normal.
(Definition,
Properties., MGF, Moments, Examples and applications)
Nlarks:
Lectures: 4 hours per week
Text books
Tutorials:
t
l0
Tinrc: l0 hours
hour per lv.eek
:
l.
Applied general statistics, Croxton F. E., Cowden D.J. and Klein S, Prentice Hall of India
(New Delhi), 3rd edition. ----- Chapters l, 2, 3,4,6, g, 9, 10, l9 .
2.
An Introduction to the theory of Statistics, Yule G.U. and Ir-endall M.G., Charles Griifin
and Co., London, l4th edition., Chapters 4,5,6,7,g,13,24.
3.
A.M. Mood , F.A. Graybill and D.C.Boes -introduction to theory of Statistics- Mc GrewHill International Ed.
4.
Fundamentals of Mathematical Statistics, Gupta S.C. and Kapoor
V.K.
S. Chand and Co.,
New Delhi.
5.
V.K'Rohatgi
-
An Introduction to Probability Theory and Mathcmatical Sinristics, Wilcy Easrcrn..
--)
J
Part III - Computer Application - pap:r II
Introduction to Database Managemeni &
Data Structure through ,C, Language
atabase Management
information and knowledge _ Increasing use of
sing versus data management _ File oriented
to data lnanagement'@i.sadvantagc.s ol, I,ilc
abase administriiion rores ogruls architecture
of data dictiona;.y _ Contents of data dictionary
L
?,
moders in this zirchitecture
A ;:f:,.3,.Jffi' :[?i:',T,T."l,o"Jff"xliffjJ,x:',::1,,1.[i
hierarchical model, network modcl and relational
moder Data def inition ancl data
manipulation constructs in each of the three models
with examples A comparison o[ the
-
-
three models
a
J.
Relation Model: Definition of relation,
equivalent) - Concept of keys, candid
Fundamental integrity rules, entity integ
projecr, .ro* prolu.i, diff.r.nt tipes of jo
set operations - Tuple relational calculus _
queries using relational algebra
4.
5.
-
or
:l'
r)s
e'\
Stand-alone
Standard Query r,anguage (SQL) : SQL constructs (SELECT
... FROM .....WHERE ......
GROUP By..... HAVING.....ORDER By....) _ NSenr,
)ELETE, UPDATE _ vrEw
ed queries - Cor.related nested queries _ SeL
Transaction prc:essing and SeL _ Integriiy
y, foreign key, rel'erences)
Handling
of nulls, cursors
-
Use
of SeLCA
!Qmn - Application programming inrerfaces
Introduction
6.
to ODBC (Open Databise Connectivity)
Database Design: ANSVSPARC 3-level architecture
Concep'ual model
Logical model
Physical model - Etq-Relationship model as a tool for
conceprual design - enrities artributes
and relationships - ER diagram
strong and weak entities c"r.i.iiroti*, specialization
and aggregation - Converting an E-R model into relational
schema - Normalization concepts
in logical (relational) model update anomalies Functional dependencies
Multi-valued
dependencies
Join dependencies Normal forms (lNF, 2i.lF, 3NF, BCNF, 4NF,
5NF.
Domain-Key Normal Form)
Issues in physical design
Concepts of indexes
File
organization for relational tables De-normalization
CIu, tering of tables
Clusterin_g
-
-
-
-
-
indexes.
7.
-
:
-
-
-
-
-
-
-
-
Overview of Advanced DBMS: (This topic is included to give the students
a general idea o[
the more advanced topics in DBMS. Theiefore the topics indiclred
will be covered only at an
overview level. The treatment of the subject and examining the concepts taught
are required to
be only at a surface level.) - Database internals ry-pes of file orgaiization
used in
contemPorary database management software (heap, hashing, tSAM on-d
B-T..e) - Bufler
management - Query processing - euery processing stages anci ryftng
is done in each stage _
Use of query execution plans in improving-applicatiin pJrfor*i:n.e
Concepts
of transaction
and transaction processing - ACID propertiis of tra;saction Examples
o[ transaction -
.1
Y
rency _ Transaction logs _
distribured databasei _
nted databases _ Database
r
P. Bhattach aryya,Tata McGraw_Hill,
I 996
hatz, McGraw_Hill, (S,:cond Edition)
ri;
4'
5.
l99l
S.Navathe, Benjanrin Cummings; (Second
An Introduction to Database Systems; Bipin
Desaia, Galgotia publicutions (west publishing),
l99t
Modern Database Management, F.McFadden,
J.Hoffer; Benjamin/Cunrmings (Narosa), (Fourth
Edition), 1994
Reference Books:
and Management, petr,r Rob, Carlos Coronel,
, C.J. Dabe, Addison_Weiley.,5rh Ed.l994
gotia publishing (2"d Ec.),1994
Implementation, D.M. Kroenke, prentice
Hall
through,C, Language
Abstract and system defined d1,o
rypes
structure: Design and analysis of algorithm _
thm design._ Analysis ct algorithm
fFr.qu.n.y
f time and space) _ StructureO approactr
to
3.
multidimensional array-()
4.
-
Address calculation
and queues using arrays _ Circular queues _
postfix and prefix ex:;ressions, Evalriation
ol
5.
n list - Linked stacks ard queues _ polynornial
ts - Circular linked lists _ Doubly linked
lisrs _
using generalized Iist structure.
ory allocation strategres (First
algorithm in each cas:).
s-
fit
and best-fit.
7
'
(preorder rraversa]
^norder traversar
algorithms
for
,t.r.r.-'
of rrees and i,, o#,^li:-"tiy:.
(Bina.! ,r.. represe.ri
-
f,;::"ii:-[J:Ilrj'"::T''r,'ethods
Representation
8
rorlst into tree) Threaded
bindl]]totions
symbor t,ui.,,
9.
(Height Balanced
fevr-i,r." Searching and sorting-ii;;.#;
- posrorcrer
i,",
"Jirtll"Tl'.illtir'r',jl ;
|i;;;;;J1J?i:.::;iJi}?lirr:1ffi
tsinary ffi
seare h
;,".
tree nlr".r).
ynamic rree rables
(Sequential and
binary searche,; _ Indexed
search _ Hashing
;r;.iJ;;H"uuuui.,o,iQ,,.*-ond merge sort _ Heap
" i:i'l!?;I:'tri;,[',,;futtf.,;";,
represenration
- string manipu,ation using arrays and risrs
l: iilX1:H,ti'll-tffill#:tY;'s
-
fill* s:H[lp;l,l*u]:ri':Tl[ilffi
-""'"-*
l ] IVIarks
Nlax.
for theorey:
Lectures: 5 hours per
iO
li,,H;:.,,isLs -
week.
Adjacency nu,,i, is,s)
lvlax. nrarks for practicals:
25
Tutorial: t hour p". *..t .
-
Text Books:
I' Handbook of Algorithm & Data
strucrure in pASCAL and
WESLEY.
c, G.H. Gonner and R.B. yares,
2. Data Structure Th11Sh ,C,,
Augenstein and e
3. Data Structure and er"og.o*'Offin,
e Hall.
noU.n
f_.
4' Data Sfucture Usinge c,_, a.on
tice Hall, 1987.
- -.v,, tvt."i.nn.n
rsrrtrr
Reference Books:
l. The Art of Comr
^rr.
* o[
ot
6a
2;;;.'M;;r-.ffi :i:T"l;:,Jffi 1,1;1"^H,.iiIi:.l;t:fl
lo
eHall,
1992.
ffi lg;illil,,?;,:
1'
2'
3'
4'
Part III - Actuarial Science paper I
-Financial & Investment Analyiis
Part A - Financial Accounting and Analysis
Accounting: Meaning - Concepts and Conventionl Going concern, acrual, marerially
matching, dual aspect,
conservatrsm
and_consistency-
Mair,-i'ir,,,r),,*i"ir,ir,,,
Elements of accounts for investors: system
of accounting -'-'-il,r\)lfytZ
balance - prolit and
account-Balancesheet-Depreciationmethods. e - Trail
company Accounts: Issues of Shares
accounts.
Insurance Accounting: Final accounts
-
&
Debentures
valuation
-
5' Financial Anarysis and Interpretation components
financial statements
-
Ratio anirysis
- Trend anarysis
-
Titrrc;
- right issue llarks: 12 Tinte: IS lrs
Under.,vriting
lo.ss
l5ltr.s
Final
Balance sheet
- CIaim calculation.
Marks:l0 Time: 15 hrs
of financial statements: Comparison o[
- Fund flow analysis. (Theory only)
Marks:6 Tilne:9hrs
stment Analysis
- Savings and investments _ Rolc of savings _
usehold savings __ Investment under different
tion and business. fuIarks:S Tinrc: 6 hrs
s of investor - Charlcteristics of investment _ Ta.r
vs riskiners - Trad:rbiliry _ Class of instruments
peculations. ,Vlarks: 5 Time: 6 lrs
monev marker insrrumenrs
\Jr.r-,,.
,T TTI\
- Bil
market
- HI"l,.1'uI',t;,utl;:i"t',BLT;z',f1rH-[T::
Marks: l0 Time: I0 hrs
- Methods oi floatation _ +Oifer through
nt - Right issue - Bones shares - Abuses in new
importance - Functions _ Measures to promote
- Badla and Forward trading _ OTCEI andNSE).
Mdrks: 12 Time: 12 hrs
10' credit rating: Meaning - Importance Rating system
Instruments
for raring - Limitations to
rating - Factors considered - credit raring ogr;.i.,
CRISIL,
CARE
and
ICRA.
Ivlarks:8 Time: 8 ltrs
11' Mutual funds:- Definition Types of funds
UTI schemes - off share funds - SBI murual
fund - Indian Magnum fund N.v. Advantages of mutual
funds - Ivloney market mutual fund.s
- Present status of mutual funds in India.
Mttrks:g Tittte: l0 lrrs
12' Portfolio Management: Meaning
scope - Aspects of portrclio management
- Modern
portfolio theory.
fvlarks: 5 Tintc: S ltrs
-13' Government and economy: Assistance Restrictions
- Inter t'erence - policy measures Monetary and credit - Trade - Fiscal policy Influence
of international economic agencies MF, World Bank, WTO and SApTA.
Mctks: g Time: g ltrs
Max. Marks: 70
Lectures: 4 hours per week.
Tutorial: I hour pcr
issues
rvcck.
Text Books:
I.
'2.
Advanced Accounting, s.p. Jain and K.L. Narang. (For part I)
Investment management, U.A. Avadhani (For pirt tr)
0
\\
-
Reference Books:
1' Advanced Accounring, M.c. Shukra and T.S.
Grevar
Z. Management Accouniing, S.N. Moh"s*orl.
3. Financial Management, i.M. pandey4' Manageriar Finance, J.Fred weston and Eugene
F. Brigham.
5. Indian Economy, A.N. Agarwal.
6. public Finance, B.p. Tyagi.
7. public Financel K.K. Lekhi.
8. Business Environment, Francis Cherunilam.
9- Recent deveropments in Indian e.ono*y,-rait.o
by uma Kapira.
/{
il
Part
L
3.
III
- Statistics
-
Papcr
III
ANALYSIS
Part A- Real Analysis (50 Marks;
The real numbers: Properties of 9i - Concepts o[ couniable and uncountable sets 7 hrs.
suprimum and infimum
Squences and series of real numbcrs: Scqucnccs - subscclucuccs - linrit ol'sccllrcncc
Convergence Divergence Bounded and monotonic sequences Operations on
convergent and divergent sequences - Cauchy sequences - Convergence and divergence oi
an infinite series - Series with non negative terms - Alte;'nating series - Absolute and
Conditional convergence - Tests for absolute convergence - Series with decreasin,s
30 hrs.
sequence of terms.
Reimann Integral: Bounded functions - Limits of funct;ons - Monotonic I'unctior.ls Continuous and uniformly continuous functions (Definitions and examples are only
required) - Reimann integral (definition, existence) - Properties of Reimann integral 28 hrs
Improper integrals.
Part B - Complex analysis (55 Marks,i
7. Complex numbers: Quick review of complex numbers polar form and triangr-rlar'
5 hrs
inequality - Curves and Regions in complex plain.
Reirnan equation.s
Cauchy
functiorrs
8. Complex functions: Limits - Derivatives - Analytic
- Laplace equations - Rational functions - Exponential and Iogarithmic functions.
10 hrs
9. Complex Integral: Line integral in the complex plane - Basic properties of Complex
integrals - Cauchy's integral theorem (without proof) - Evaluation of line integrals by
indefinite integrations - Cauchy's integral formula - Derivative analytical functions.
15 hrs
10 hrs
1.0. Power Series: Taylor's series - Laurent's series.
evaluation
oi improper
theorem,
residues:
residue
eoles,
method
of
The
ll.Integration by
real integrals, definite integrals of trignometric functions, in'.egrals around a Branch point.
20 hrs
Max. Marks: 70
Tutorial: I hour pcr rvcek.
Lectures: 4 hours per rveek.
Books for study
1. A first
2.
course in mathematical analysis. D. Somasundharam and B. Chaudhury. Narosa
Publishing house, New Delhi.(Chapter l, Chapter 2 except 2.9 ani 2.10. Chapter 3: except 3.5.
and 3.8. Chapter 4: 4.1 to 4.6 with a stress to definitions and exar:rples. Chapter 8: except 8.4)
Advanced Engineering Mathematics. KrayiszigE. (12.3 to 12.9. Chapter 14. Chapter l6: !6.1
to 16.8. Chapter l7). New Age. International (P) Ltd Publication, )iew Delhi.
t2
\
\
Characteristics of
iyariate
Non_linear correla
Part I_II - Statistics - paper
IV
Statistical Nlethocli
Dah:
of polynomials (second
and thircr degrce) _
|
Correlation
transformations (Lo
Theory of attributo
attributes _ Dichot
_ Association
of att
_ Measure
of intens
independence.
-
ratio.
U.se or.
in conri:rgency-tabres
iiffi:;":!:;:ii:#:,tt[::ncv
of
- coerricient or
contingency
and Heterog.n.or.
rt.r,rp.*;r".olot.,.nt
crassificatio;;ltn'
tabres
Association
- HomogeneoLrs
Characteristics of
multivatriate data:
partial regression
.;"ff;l;r-.I
_ po.tiul
r 4r Lrar
coefficients
20 t,.s
,,rion jte.alt .square
rheory) _
_ Multiple Correlatjon
and
0. Time: I0 hrs
Pulpose of the index _
d of combining
Tests for indcx
ies:
methods _ Co.st
o different situations _
ex number of inclu.strial
Times series data
oscirarions
accounr for
between two time
_
of time serie.s cluta _
f sea.sonal fl uctuation.s
;Tiffiil:ifff
ents or a time serie, _
Serial correlation and
correlogram
series
statistical Nlethods for
items in terms of diffic
to a
1I,swers
groups
- Test theory
error yariance,
Tirnc:
questionnai
flin
tesrs and
;li:.J
Correlation
15 /rrs
;:XlfJXT;SffliI:
N"i;-, ,.0'*?.ilil..
definitio
methods of estimating
te
p-arameters) Test
cons
tnternal consistency
-!
Interligence
-
_
finition;i;; ,:;;.,
oh.variance
and
ty of a test, pracrical
o[ test r.rg,rl'"r',.r,
:t
rf
test
item - Q coefficient _
ni;:ffi#.1,i::r;,;i.n..
_'i,1il^,,,,r,,,r
r
of survivar dara
-surviro, run"riroorT;rr;JI;
_
og rank test the cox
nroportiona: uo^rJ*oclers
.tions
ancr
ortional hazard assL
it.s
_ a;1.
hazard rnoder
i;;fi""
iffi.l,"rrr
d
n
It(
#;#[T:Xil:?l3ll.,l,;,i::;1il,:,,,
t3
Ii
vF
Form of the demand function
composition.
- Engel's and Engel curve - lariation
Nlrrts, 15. Tinrc: t0 hrs
Indian Official Statistics: Indian Statistica
Offices in the States - Population Statistics
Statistics - Price Statistics - Statistics of
communication - Financial and Banking Statisric
Max. Marks: 70Lectures: 4 hours per week.
in house-hold sizc and
Or,[ices ar the cenrrc _ Srati.srical
Indusrrial Sratisrics - Tr.ude
eni Statistics of rranspor.r ancl
ics
-
taristics. ,-
iVlarks: 10. Timc:5 /rrs
Tltorial: I hour per week.
Text Books.
An lntroduction to the theory of statistics, Yule c.U. ancl Kenuall M.G., Charles
Griffin arrcj
Co., London, 14th edition
2. Fundamentals of Mathematical Statistics, Gupta S.C. and Kapoor. V.K. S. Chand ilnd Co., Ncw
Delhi.
3. Statistical analysis of Psychology and Education, Ccorgc A. F:rguson, Mc Graw-llill Book
Company New York.
4. Ashis Bose India's Basic Demographic Statistics, B.R. publishing
company, Delhi.
5. survival Analysis: David G. Kleinbaum, Springer, New york.
ldnapteis l',2,3,4 ancr 6).
6. Modelling Survival Data in Medical Research, D. Collet, Chapn,an
& Hall. (Chapters 1,2 uncl
4)
7, Fundamentalsof Statistics,Vol. II,A.M.Goon,M.K.GuptaandB.Dasgupta.Chaptcrs 5,6,7,
8 and Appendix A)
1'
l4
tl>
III
Part
r
rransrormation or onc dinrr nsionar
l.
2.
3.
-.
Statistics
- papcr
,,, ,i,Tt.]l'*:l,lili:iT::rrnr
Sampling and Sampling
Disrribution of Sample _ St
Large Numbers _ Central li
Cauchy Distributions _ Sampl
Sample mean and varianc
Distiibutions) - Order Statisti
Asymptotic iisributions Sar
Principle of Data n"ar.,iSufficiint Statistics n^pon.i
-
variabrcs
Tlic F-distribution - Studcnt's t
tribucion of function order statisrics
)' tuIarks:l5 Tirne: 25 ttrs- Frrctorisation Criterion - Minimul
parametric point Estimatir
I0 Time: I0
hrs
rence (Point estimation
- Interval
s (lvrethod of moments Mla.rimurrr
and Minimum Distance Method)
onsrstency and BAN Loss and
risk
-
- Test of hypother
likelihood - Optimal f-p".ii
Properties of Point Estimators
functions). Marl<s: 15
bound for variance
estimation
4'
V
and comprereness
- Sufficiency-Time
- Rao-Blackwell
Marks:Io
:Io
irs
posterior Distributions pos-terio,
ary., gr,i*o,o, _ Loss Function,
rs _ Minimax
heorem'
5.
6.
- Joinr completeness).
_
7' Parametric Interval
sed
Estimator. fuIarks: S: Time tO_irc
Estimat'""r1?l[!:?'
"f;:::i*ou
,n
- wiit''
gcncraliscd variiu,cc
Estimation: confide.ncc'iil;r",r (De tinition
-.pivotar euantity) - sar,pring ri.orrr
Normal Distribution (confidence interval
for the mean - confidence IntJrval
for the Variance simultaneous confidence Region for
Mean ana varian"e confidenc" tnt..*i
ror
Difference
Pivotal
in Ivreans)
Quantity Method and Statistical MethoJ-io. rinaing
conficjencelnrervals
Large sampre
8. ;:JIJiffi#['J?]::?;ffi
,n Intervar
Estimation
-
Marks:t' Hrs:
t5v
r
Test of Simple Hypothesis vers
- Neyman-pearson Lemma) _
Most powerful rest _ Monbtone Likelihood_rario) _
Sampling from tht
Mean - Test on the variance
'est of equality
of two ,n"o,ir)- chi-square tests (Asymptotic
distribution
of generalsed Likelihood-ratio - chi-square
goodness-of-fit Test Tesr of equarity
oF two murtinomial
oii)lrlfrlili],r,r,
rest or - rnaep"na*"e rn
2i H^
9'
ds:
contigency
rabres).
Introduction - Inferences concerning
cumulative Distribution
- Kormogrov-simirnov Goodne-ss ot nt t".t _ e_e and p_pFunctions
prots tbr
Functions
u;"#l,lir,o,*|,,,I,I,}[::f ",T-:"1*r',""'.fJ,llJ::'':RJ:"t:I,f
Max. Marks: 70
Lcctures: 4 hours per week.
2'
+L*ltLtiT:;
Tucorial: I hour pcr rvcck.
Text Books:
l'
J:ffif
Introduction to the Theory of statistics,
Mood, A.M., Graybill, F.r,.. and Boes D.c.,
Ivlccraw-Hill,
VI' Chapter vII (Except seciion oj' cn"pt"' vrrr'
chaprci
Iffi,?:iilr.(chapter
irltl'llri;l
x
1e,*..pt Secrio, 7).
of Introduction to Reliabirity Enginccring by
E.E. L$vis. John witey ancl sons rnc.
Books for Reference:
1'
statistical Infergnce, George Casella and Roger
L. Berger, wadsworth & Books, california.
r5
It
Part
I.
4'
_
5'
III
_ Statistics _ paper
LIN
Systems linear equations ancl matrices:
in n unknowns _ Gauss_Jordan and Gaussia
VI
l
lwo unknowns _ /,t equations
Jgeneous systems of equations
td linear system of equations _
natrices and matrix inverses _
Time: I0 hrs
Cramer's rule. [vlarks: 5 Tirnc: l0ltrs
Scalar product and projections in 9iz_ Vccrors in
nd planes in space.
Marks: 5 Titne : l0 lrs
vector spaces: Basic properties sub spaces Linear conrbination
and .span - Linear.
independence - Basis and dimension
Rani<, nullity, rows space, column space of a marrix
change of basis - orthogonal basis and projecrions 9i"
in
LLasl ,quo..-opproximarion
Inncr
product spaces and projec.tions.
fuIarks: l0 Tittte: I0 lrs
Linear transformations: Properties of linear transflormation
- Range - Kernel - Matrix
representation of Iinear transformation Isomorphism _
Isometrie.;.
-
NIarks: I0 Tinrc: l0 le-:s
Eigenvalues, Eigenvectors and Canonical forms:
Eigen values ona ii!.nrectors A moclel
of population growth - similar matrices and diagonalization
matrices
-symmetric
and
orthogonal diagonalization
- Quadratic forms and conic sections - Jordan canonical forms.
l0 Tilne: lS hrs
7' Symmetric and Hermitian matrices: Schur'sMarks:
unitary triangularization theorem - Real
quadratic forms - Hermitian forms Reduction
to diagonal form - positive-definite tbrms arrcj
matrices - The signature of a quadratic or hermitian
ior* - simultaneous reduction of pair of
forms - Eigenvalues_and Rayliigh quotient Courant-Fisher
min-max theorem........
Marks: I0 Time: I5 hrs
8' Linear Programming Problem: Graphic solution simplex merhod (Standard
form - Duality
- Slack and suqplus variable - artificial variable - Big M merhoci) - T,"r;;;;";;"0;;;;'_
Assignment problem - Traveling sales man problem.
Marks: 20
25 hrs
9' Game theory: Matrix games - reducible to 2x2 matrix graphicalTitrrc:
solutions - conversion ol.
games in to Lpp.
fuIarks: l0 Tirtte: 15 lrs
l0' Gauss Markov Linear lVlodel: Linear estimation and test
of, linear hypothesis - Analysis o[
variance (one wary, two way, two way
',vith interaction) - Analysis of #variance (one way ancl
two way).
Marks: 20 Tinte: 20 lrs
Max.
6'
Marks: 70
Lectures: 4 hours per week.
Tutorial:
t hour per lveek.
Text books:
l'
?
3'
4'
5'
Elementary linear algebra: Stanly I Gross Man.
Saunders College publishing.
Matrix Theory, David w. Lewis, Ailied pubrishers Ltd.,
Bangarore.
operations Research . Hamdy A. Taha. Mac Millen
Pubtishing company, New york. (parr I.
Chapter 2,3,4.1 to 4.4,5 and Section I 1.4).
Schaum's Outline Series: Theory and Problems of matrices, Fri,nk
Ayres, JR., Tata McGr.aw
Hill, New Delhi
Linear Estimation and Design of experiments, D.D. Joshi,
wiley Eastern, New Delhi.
l6
t-7
::'III
-'?lfilii; Paper vII
trlT,ilIili"'r#il:iLilJ,::5:1,J-::i".;i..i,yi. Jn,",:::;Tliic
(non_progran,m.b,c)
Introduction
l.
Pa
dolsjrosrarnnrino
an, c++
An oyeryiew o
rang
Characteristics
(procedurar
-
p.ogrurtttttirtg
progranrmrng)
rentance, reusability,
ncw
;;1
;-licnted
ec_t orrented
: An overview of
C++
m statements, white
spar
#include Directive
_
pro
e)
'granuning
Header files.
s uururrrrons,
[i::.1,1.,
vari ble names, Assignlnent
,,:":i:,,x,,,,:Tl,:;.,.;#,ff
s.
es)
sion.s, precedcncc.
irective.
cascading the inscrtion
sting.
*
-
while loop,
statement
_
(Lo
Prec
The
Thefor loop var.iatio,s,
stat
conc
e---"^rrv
operator.
u|,rtrrilror
- I'he Iogicai OR operator _
The logical Not
the strucrure, Debuglirg
,,
features, structures
within
argumenrs ro
Thc
Ioop, Uses)
f construction _ The switclt
.r:ri r'.,
strllctut.c.\,
ration _ Calling the
function _
';;rr,;"
- Eliminating rhe declarotion)Thc: firnctiorr
ng variables passing
Uy ;.iJ. _ ;;::iX;
functio
-
ement _ Returning
structure variables.
iiffiil:T,:':
variibles
-
;f
Hl;.fi'.-
Srorage)
(
t8
-
D i rrerer: r k i n ds
R;;rJ"fiff;::T;
o r argu men rs
(Automatic variable.s
-
\1
isses and objects
- Sc:cifving the
_
; - C++'obi6cts and iata rypes crass Usin_e trre
- Consrrucrors anll
of
- ob
defined outside
-
class)
c++
destructors
rents (overloaded con.structors
Srructures and crasses _
Crasses,
_ Mernber
function.s
oo;..1J,f,j:il:il1r,"ff,:,Tjl:,;?.",, r,o* r,..iio",
_
elements _ Averasine
arrays to function
Strings (String vr
lines _ Arrays of s
argumenB
- Oper
operators) - Overl
Concatenating strir
operators) - Data
and basic types
what) - Pitfa
-
1or keyword
- Operator
' Limitation of incr.crncnt
tding porar.oor,linrio.,
- Arithmetic assi.qnmenr
nversion berween "oJi..,,
lonversions: whcn-,-J
u.r.
members - The pr
functions - Clasi I
Public and private
specifiers ) - ls,
inheritance - construcrors
in multiple
Inheritance and. program
a"r.iop*"nr.
-
J:llii:'ifT:i.,?elementsj C_opyinj'a
point'i
pointers
s
-
S
strings - Reading
rct to a disk ninary
-
po-inters.
l/ operator -
The d ieteoo,
tTJil:t;t?ffill:
1
-
strings
vJrs
,,;;;)
_
-
Header files)
er V-o - object
ect from disk _
open fonction)
-
opio,o6
classes) - Member functiJns)
defined classes.
po"'ttrs to strings)
-
rrri^_
_cr The
fying rL^
the offsel_
teug functi";, _ ;;;k.;b
data structures)
Error
h"andling - Redirection
t - Red.irecting input and
output - The ce* antl
inter output overloading
the e.rtraction ancl
with Iviember functio
(ios flags using r^E
clog oijects) - go*,
insJrtion
r
^iT'i:rfi':?
T.:.{",h;;;;;,"*;Ti:f
olnters (Sorting p.:inters
Comparin*
pointers to objects)
Debugging
- File pointers (Speci
-
and pointer
var
"o;,
r
-
-"-consrraints
toing
tring functi
new) -pointers to <
A
C
multiple intr".lton."
Ilo
""'.'
simPle
,;''nt"tt
vr*o.|.\
Accessing base cras.s
rs - overridi-ns *.nru..
nd member ruictions,l
ctures - usage of access
r functions In ..nuiJpr"
inh
io'# rl
-
- o*"
clzrss
-
Th;
l9
I\
a;;;. crass (prrr and, getfunctions) - Uscr-
-
The cputs function
- The clrscr function) - Graphics-mode graphics-functions (The ititgraplt
The
circle
function _ The ctosrgript, function) _ Colors (setcolor function _
setlinestyle function - setfitestyle function; Rectangles and lines (The
rectangley
function
The
line) function.
-
function
-
Main Text books
Lafore, Galgotia.
et Ellis and Bajarne Srrousstrup.
.
l
'
2'
3'
4'
5'
6'
Witt, Galgotia.
Part B - Windows programming
Windows Architecture: The concept of handleerr th. concept of window class
- Registcring
a window class - Style like CS-HREDRA / Instance handle.s cursor handlers
- Menu
name - Creating a window - Class names Predefined and User defined
Window
name Draw styles - width, height etc. - Parent-Child windows The concept of windows
messages Message queue - Visual C++ environment.
Compiling and linking for windows: Compiling for windows Memory models in windows
- Linking - The stub file.
VO Techniques: Drawbacks for Windows Screen printing Decermining the
size of window
- The concept of device context - Device context handles 1 Relcasing contexr hundles - Tcxt
formatting - Using fonts - The concept of scroll bars Creation of scioll
bars - Setring scroll
bar range and position.
Keyboard: Keyboard message - virtual key codes Parameter.; like repeat count, scan
code
etc., - System key like Alt-Tab, Ctrl_Esc, etc.
Mouse: Mouse action - Mouse messages - Activating windows Change mouse cursors.
File UO: Win 3.1* file functions - Buffered file Vo Co**on dialogioxes
- open file name
stnrcture.
'
Child Windows: T[re concept of child windows
- Child Winciow conrrols - Child Window
control classes - The static class - The button class Button messages push
buttons - Check
boxes - Radio buttons - Edit class Edit control messages Edit styles
- The,listbox class.
8' Menus: Creating menus - Working of menus - Using menu
inputs - Creating pop-ups and
using it - Attaching pop-ups to top level menus Menu messages Menu
templates - Using
system menus - Messages from menus.
9. Dialog boxes: Concept - contror stare - working with dialog boxes.
l0' Printing: Obtaining printer's driver content - Determining- the printer name Notityin_u t6c
printer job - Page breaks - Determining the device capabilities
printing graphics About
printing.
ll. Graphics: Fonts - Portrait of a character - Types of fonts - Creating logical tbnrs Font
7
-
handle.
l2.GraphicalDevicelnterface: Need-Thedevicecontcxt-Dctcrrniningthcclcvicccapabilirics.
13. Drawing graphics: Pixels - Lines Rectangles _ Circles.
14. Bitmaps: Bitmap handle - Obtaining handles Internet represuntation of bitmaps
Creating
bitmaps
- Memory
-
device context.
20
I5. iVlemory ma
and rocks _probrems
*,y:ls memory handring
arcnrtecture 80286
;Ii:if,[ffi-,:lffi"fl!fl,.1.."0,",
", - r,rl
prore-cred n o..i
I ne ffiemorY API
16. window, ..r"r.:"".
- Ke.nel
;":
1
I7. window. trll"tts:. Accessing resource, - r-ooailn ,""r.,.,,-:u
il;** l;.; ::: il:Tt _.ff 1T5,,1;c,!nlnteracrron
r
Apr fu
on,l..,
'ws
with g259
i
nc
u
es
ti
rhe cripboard API[workin.: of clipboard
;,#l,Ti:.-wer message.
practicaj:
25 Marks
Tutorial: I hour per
eek.
er, Galgotia.
1B:,'..
Galgotia.
r with Custums
Control, Galgotia.*
s from Start to
rinirt,, o.il!on, npB.
21
A\
chip _ The tirncr.
- The concept of
rveek.
Part ItrI
l.
)
i,ffi .Y'e'.l'.:?
,j;il1.1.il::l'!,1fl#i:
3ff#,',Hffi:::Insurance:
Individual risk model for
J.
.4.
_
5.
- Actuarial
a
7.
r
-s
i
m p,
e
an n u
itie
s
-
- eremenrs or insurance -
survivorship
m
deterministic
_S9*" analytical laws of
Multiple life functions:
expectarions
rnsurance and annuiry benerits
:"T,','#:l;:l*ffi.distribution or o.o,n
Collective riskmodels for
lffir:lilt#:"*l
ff;
age at death Life tables
Thc
As.sumptions for fractional agcs
-
_ Evaruati;X::
-
-
t#:,::.,
- si*pr. *nting.nt run.tion, -
;:o..b;bu1,,,ftJr1
EvarLrarion-simprc
singlc period: The distribution.of
aggregate craims serection
'oi
or
.o*pouna.p";;;
distriburirns
Approximations to the
'ti"t
a
-
ni:ound statuses
-
Population theory: The Lexis
diagram
-
s
short time: Moders fbr individuar
c.aim random variabres Surns
i appro*iration for ttr"-,iirr.iuur,on
oF rhe sum Appric*ion.s
Survival distributlons an
populations
r
n re
Utilitv theorv - Insurance and ut:riry
probabilities and insurances
premium and reverses.
10.
i
random variable
iltilrl"rt":::ent
Cottectivl .tuk
II
Hi i';nfli :,
-
6'
Science _ paper
Actuariar apprications
-
_A
- Contingent
Reversionary annuities
--Net
continuous model
eoprration Dynamics.
_
Stationary and srable
Max. Marks: 70
Lectures: 5 hours per week.
Tutorial: I hour per tveck.
Text Book:
l' Mathematics of Finance: Humnrel and
Seebeck. 3"r Ecl. iucGraw
vwvvwu^'
Hill Kogakusha Ltd.
Tokyo. (Chapters 1,2,4 and 5).
'
^2' Actuarial Mathematics. Bowers
.
N.I,.(Jr), Gerber H.U, Hickmi.n
J.c., Jones D.A and Nesbitt
Societv of Actuarier, ttur.o,,rinoir,
rtil.
ia;;pt.. r, r,3,8, 9, ,, tz, t3.r7 and
,t;i.
)L_
?2
part III _
Actuarial Science _ paper
l. Life insuranc
9f the year of c
^ Life
?.
annuitier
Discrete life a
formulas for a
Complete annu
3. Net premium
payment premir
type benefits.
4.
di.sct'.:c p.c',iurn.s
lt]-t
- Truc r,o,rhlv
mlums - T",
Commutatron functions _
O.;,,;;;;;;;;
Net premium reseryes:
Fullv conr;n,n,ra
__
continuous h^I
net premium
continuous;;.**
reseives - orher formulas
tbr tu,y
",' "'
-"ir,il,'XI,.jii ."[j,fl
basis _ i"::"i1,.'o;,:;,,
1,0,
[
T* [*{,__-
fl:Hfi'r::i:#,':';i:ir;*:'lf;ri.;:1,*
ror
fully continuous reserves _
Reserve
Valuation theory or plnrio,
formu
I
retirement
v
6j
ffi :r :Tfitil,#l 5,lj[i,':i,;":,
preriminarv rerm Modifiediutt
pr.timt.il;;:
7. Non-forfeiture 5'
Iii
ontingencies
he moment of death Insurance payablc at thc
c,cl
Commutarion
fun.rions.
ls
lngent on survival
- ContinuoLrs lilc annLrities with monthly paym'rnts
Commutation lu.ction
ents - Varying annu iies R".rrrio;";;.,;';;, _
rtionable annuities_dL.:. -
",#
::
fiTjili:, ::
ru,,v ::l'..,..,.,
Reserves ar
Differentiaf .qr^irr.,t",
I ---'Y'r
)n funcrions
ibutions Age-servicc
r
plans:
benefits - oirouiilty
benefits -
-
lx=. y
benefit, ora']i"iclencls:
Cash val
: 1,r :
canadian
',.r.r,.rl's -
8. 5;::rTT;111,:
0,.,L.iI':,l,;
srandard.
Insu:ance optrons
-
r
",
g i;
Asset shares
al types of annuity benefits
- lanrily
variable producri
- Reti
Disabilitybenefit
^ Theory ofpensi
9.
- Basic furrctions
methods _ Basic
members.
insurance
ce.
-
Flexibte
inconrc
pl* ni"lr.,r'-
inal funding - Accrual of
Actuariai liability
al actuarial c,.rst merhoO, _
a*;r.;;,; ;;,
mbers - Basic fLrnctions
of activc
ancl rctircd
Max. Marks:70
Lectures: 4 hours per week.
Tutorial: t hour per 1veek.
Text Book:
1' Actuarial Math-ematics' Bowe^
(Jr), Gerber H.U, Hickmrn
J.c., Jones D.A and Nesbitr
Actuaries,trasca,YL
IIlinois, l%;.i&rprers4,
j'to.,.,yof
,t
5,6,1, t0, 14, 15, I6,and
iiil:, iii?i::,. I
-
*,, :T,:,,1,,, f; :: il:l,ff [:i ;iJffi il;ril,lT ;.
)'\
. o n,
ingcncies
rh
eo
ry
"r, "_n,.oilj,l#
J
ij:T :H; ffi i,,ffi
s r r Ex p erim en ts
y of Sample suryeys
Estimation of populai:ion mean and
total _Optinrurn
3omparison with SRS - Estimation
of pofr.,i"iion
proporrron.
iary information _ Bias and Mean Square
Error
with mean per unit estimator.
nalysis of Experim,:nts
I
I
I
I
I
i
I
I
I
i
ril
jl
,I
it
i
I
I
randomizcd Block Design (Statistical
missing Values - pstinrating moclel
) - Latin square design - Grae-co_Latin
ii
I
I
ri
1l
I
i
Lectures: 5 hours per rveek.
Tutorial: I hour per rveek.
Text Books:
l' Theory and Methods of survey sampling, Parimal Mukhopadhya,r, prenrice
- FIal (199g).
2' Design and analysis of experiments: Doig.las
N4o;gomcry. Jolin wiley ancl So,s, Ne w york
g
(Chapters 1,3,4,5, Chapter 7 (sections ZL
to 7.3), Chlpter 9 and t0)
4?
,
III - Statistics - paper IX
process
statistical
control and Industrial statistics
1. Quality and Quality Systems: Quality and Productivity
-Quality and Reliabiliry
Control - Quality Systems.
')
Statistical Process Control:
Part
2-l
Introduction to Control Chart:
Detection of changes.
-
eualiry
- Variation and the Contlul Chart - An attribute conrrol
2,2 Control chart principles : Behavior of variables data - Normal
charts for averages and ranges - General principles oI control char.cs,
chart
i-
distribution
-
Cor.rrrol
2.3 Control Chart for attributes: Charts tbr
Percent Nonconforming
control charts.
-
number of Piecer; Nonconforming - Charts l'or
Charts for number oI Nonconformitics - OC curves for attributes
2.4 Control Charts for variables: Inclividuals (x) chart - Ra ional subgroups - Range (R)
chart - Standard Deviation chart - Average (x - bar) chart - Meoran (x bar) chart Midrange
(M) chart - Evaluation of control charts.
2.5 Special Control Charts: Cumulative Sum Control Charts - The exponentially weightcd
moving average control charts - Modified or Reject control limits forx-bar charts - Acceprancc
control charts.
J. Methods for Quality Improvement: Graphical Methods for
Process Control
Qr aliry
Techniques - Specification Limits, Tolerances and related techniques.
4. Acceptance Sampling:
4.1 Single and double attribute sampling: Sampling risks - Sempling variations - Types ol
sampling plans - Single sampling - Double sampling plans.
4.2 Sequential and Multiple attribute sampling plans: Item by item sequential sampling plans
Group sequential plans - Derivation of Matched Plans.
4.3 Attribute Sampling Tables: ANSI / ASQC Zl.4 - 1981. - The Dodge-Romig System LeL
index system.
4.4 Special Attribute sampling procedures: Continuous samplir g plans - Skip-Lot sampling
plans - Chain Sampling plan.
5. Industrial Experimentation: Onetime experiments
- Evolutionary Operations - Analysis of
Means (ANOM).
6. Reliability and Rates of Failure: Reliability Characterizations
- Consranr failurc rarc moclcl Time dependent failure rates - Component failures and failure mo,Jels - Replacements.
7. Loads, Capacity and Reliability: Reliability with single loacling
- Reliabiliry and safety
factors - Repetitive loading - Single failure modes & Combined frilure modes.
8. Reliability testing: Reliability enhancement procedures
- Non-purametric methods - Censored
testing - Accelerated life testing - constant failure rate estrmates.
Max. Marks: 70
Lectures: 5 hours per
Tutorial: t hour per lveek.
week.
Text Books:
l. Modern methods for quality control and improvement, Wadsr,,,orth, Stephens and Godlrey,
John Wiley and Sons (1986).
2. Introduction to reliability engineering: E.E. Lewis, John Wiley rnd Sons. New York. 2"d Ecl.
1996. (Chapter
1,4,6,7
and 8)
25
L>
Theory of
S
III
Iysis rf Experiments
yeys
ula,io
sF
s:
[i,i]il:i'j;'
;, l#Lill.Mean
'm,:ntS
;3J,lllil;
Ssuare Erro,.
.
De.
ol'
t^otJ;L;,rAPPrication
t
Block Design (Srati.stical
-
f:'n:
leslgn
'no'r.,r
'::ti"ti'u
- Graeco_Lutin
ral desir _ The
aj uesrgn
,.ln _ advantage ol.
w
^a
The general
algorirhm for 2k "J.r,gn 2k
_
Lectures: 5 hours
per
week.
Tutorial:
Text Books:
t hour per rveek.
, parimal
q,
.
)
Mukl
g v#;:,,i",xf
q,,'.;l:;;fs:
:to 7.3), Chapter q ,na
,,wy
i0l,'
.
Il
ii:
lu yo,.r.
Part III - Statistics - paper IX
Statistical Process contror and Industriar statistics
1. Quality and Quality Systems:
Quality and Productiviry -eua,iry and Reliabiliry - eualit,v
Control - Quality Sysrems.
) Statistical Process Control:
2'l Introduction to Control Chart: - variation and the contrul Chart An attribute
co.rrol
chart - Detection of changes.
2'2 Control chart principles : Behavior of variables data Normal distribution
- corrrrol
for averages and ranges - Generar principres of, contror charrs.
9h_artl
2'3 Control Chart for attributes: Chirts for number of Piece:; Noncon[orming
- Chart.s lbr
Percent Nonconforming
- Charts for number of Noncon[ormities - oC curves lor attribLrtes
control charts.
2'4 Control Charts for variables: Inclivicluals (-r) chart Ra ional subgroups Range (ll)
chart - Standard Deviation chart Average (x bar) chart Mec.an (x
birl chart - Midrarrge
(lul) chart - Evaluation of control charts.
2'5 Special Control Charts: Cumulative Sum Control Charts The exponentially weightcd
moving average control charts - Modified or Reject control timits forx-baicharts
- Accepta.ce
control charts.
J. Methods for Quality Improvement: Graphical Methods
process Control
for er ality
Techniques - Specification Limits, Tolerances and related techniques.
4. Acceptance Sampling:
mpling risks - Sampling variations - Types of
ling plans.
lans: Irem by ire-n sequential sampling plan.s _
Plans.
5'
6.
7.
4.3 Attribute sampling Tables: ANSI / ASQC zt.4 l gg t. The Dodge-Romig
system - LQL
index system.
4.4 Special Attribute sampling procedures: Continuous samplir g ptans
- Skip-Lot sampling
plans - Chain Sampling plan.
Industrial Experimentation: Onetime experiments - Evolutionary Operations Analysis
of
Means (ANOM).
Reliability and Rates of Failure: Reliab
lurc rarc modcl _
Time dependent failure rates - Componen
emenrs.
Loads, Capacity and Reliability:
Reli
r,ii;i" and
,,..r safety
s:rFerv
bility
- Repetitive loading - Single failure m
8' Reliability testing: Reliability enhancement procedures - Non-pr,rametric merhods
testing - Accelerated life testing constant failure rate estimates.
Max. Marks: 70
Lectures: 5 hours per week.
Tutorial: t hour per rveek.
factors
- Censored
Text Books:
I' Ivlodern methods for quality control and improvement, Wadsr,orth, Stephens and Godfrey,
John Wiley and Sons (1986).
2. Introduction to reliability engineering: E.E. Lewis, John Wiley rnd Sons. New york . 2,d E().
1996. (Chapter 1 ,4,6,7 and 8)
25
III ' computer Application - Paper I -
Part
Fundarnentals of computer
1. How computers rvork: An over ,,.* li';'; Y;{li':;ti:,',"_';,!";"{::,r:
_yr,:ff:;:l ,,o
devices- Storage devices Software (System
Software and Application sofrwrr.) - s5rp.,
of computers today (Super, main frame,
mini and personar corrputers).
2' Processing data: How computers represenr data (Bits
and Bytes, rext codes) - How
computer process data (the cPU,
Memory RoM and RAM) - Factors affecting
processing
speed (How registers affect speed,
Mernory and computing p,rwer, The cornputer,s
irr.crnal
clock' The Bus viz' Data Bus and Address
Bus, Cache Memory, passing Math operations
to
the Math co- processor) - The cPUs used
in personnel computers (The Intel processor,
the
Motorola processors, RISC processors, parallel
processing).
3'
Interacting with computers: The key board (srandard
i.ey board layout, how thc
computer accepts input from the key board)
- The Mouse (t.re inner working of a Mouse,
the Trackball and rrackpad, Pointers
in the key board) - orhcr.s input devices (pens,
Tor-rch
Screens' Barcode Readers, Image scanners
and optical character Recognition, Ivlicrophone
and voice Recognition)
Monitors)
- The monitor (cRT monirors, the video Controller,
- Printers (Inkjet printers,. LaserJet
Flat-panel
printers, dot-matrix printers, thermal wax
printers and plotter) - Sound systems - connecting
vo devices to the computer (Serial and
ports,
Parallel
expansion of slots and boards, SCSI)
4' storing information in computers: Types of storage devicesi) Ivlagnetic storage devices (Diskette drives, types of diskettes,
disk) - Hard Disk - Removable Hard Disk
ii)optical storage devises (cDRoM
ivleasuring
Drive
-
_
how data.is organised on
a
wcRlvl disks and phoro cD)
-
Tape Drives.
CD-Recordable,
Performance (Average Acccss Time, Data
Tra,.sfer Rate, Dr.ivc-
Interface Standards).
5'
Netrvorks and Data communications: The
uses of a neiwork (simultaneous Access.
Shared Peripheral Devices' Personal Communication,
Eas:er Backup) - categories of
networks (LAN, Connecting Networks, wAN)
- Nerwork ropologies for LAN (The Bus
Topology, The Star Topology, The Ring ropology) Nerwork Media and
Hardware
(Twisted Pair wire, Coaxial Cable, Fiber
optic Cable, wireless Links, The Network
Interface Card and Network Protocols) - Network
Software - Data Communicatron over
Telephone Lines
-
Modems (how a
Modem Works, Choosing
a Modem, Connectrn_q
rvith
[::',t",*;:;::::Hl;l;:::
For sections
1
- 5 Marks: 20 fortheorv
(rhe User rn,"rro..,
Hardware, Utility
7.
o,,,.,,nec,ion
wi,h orrice Ne,works) .
Using
m.
svstem
of DoS, wrNDowS
:,ff:'::ilI]" tds' Runntng- Basics
Programs,
ancr
uNrx
Managing Files,
Managing
Software).
Marks: l0 for theory
ancl 10 for practicals
Introduction to word-processin
' "' s-,,r uucsslng packages,
DTP,
management:
Spre:rdsheets
Time: 25 hour
and
databasc
i) Uses of Word processing
Software: Entering
text _ Editjng text _
ormatting text.
"'o.:'i,'.""1
s i n g - rvpe
Con,ro s - Graph
ic
iii)spread Sheets:
A tool for working with
numbers (Spread
Sheet in Business,
professional uses'
orher
Spread Sheets for
home uses) - Creating
a
worksheet (organising
data' Designing the
the
worksheet, Entering
**;:T::":::
ffJilT:.[:il:-
J:,;:*']'',".es
r
Labers and varues,
Creating forrnurae,
Editing
varues' raber and
cerrs, Adding Char-ts,
Anarysing the Dara,
,r,T,:,r,::
(Frat_fire
Darabases, rhe rerarionar
;r", Til;:,.i|].:arabase
Database
rabres, viewing Records,
,",,,.r;:.j:: ?:H;;;H:.;,,n " Darabase (Creating
Marks:l5 for
8 rhe rnternet: How rhe rnrerne, ti
ffillil.,}T;il::,:i,r..,.1,ff;:ff:
e'
FTP' GOPHER' The
rernet,
world wide web, onrine
Services and BBSs,
Application programs) _
Inrerner Fearur.es
in
Accessing Internet (Direct
Connection
Connection' Gateway
, Remote Terminal
connection, connecting
through a LAN, onnecting
Modem, High Speed
through a
Data Links and vurrwt
other urrrrlte
.;;;.
servtces)
;;
- Connecting a pC to
(Integrated Internet
internet
Sofrw,,"o ,^-,:--
Graphics:
,;T':ffi:;'::
,.0,
,i,,
versus vectors, standard
Getting Images into
Fire Formats) _
Computer (Scanners
ancr Cameras, Erectronics
photographs,
Cripart) _
a
Graphics Sofrware (Paint
Programs, Photo Manipuration programs,
Draw programs,
Computer Aided Drafting programs
, 3_D Modeling programs).
l0' Information systems: The
Information System Departmenr
(Compurer scienrists,
Systenr
Analysts' Programmers, User
Assistance Architects, Technical
writers, Hardware or.
Software Purchase Agents,
system or Network Manages,
Trainers ancr support personner,
Hardware Maintenance Technicians)
- Types of Information system (office
Automation
Systems' Transaction Processing
Systems, Decision Support
Systems, Expert Systems)
The System Development Life
cycle (Needs Anarysis, Sl stem Designs,
Deveropmenr,
Implementation, Maintenance).
For sections g _
8'
l0
Marks: 15 for theory
Creating computer programs: program
conrror
Functions
-
Structured programming
-
Time:
Frow
-
variabres
(visuAL
envrronments)
-
object oriented programming
programming languages (Machine,
Assembry and high revei :anguages)
languages (FORTRAN, COBOL,
Ianguages
20 hours
Algorithnrs
I
-
interigence)
I
I
Evolution of
I
- Third generation
BASIC, PASCAL, C, C++ _
) Fourth
BASIC, Application specific rnlcro
ranguages,
- Fifth generation ranguages (Artificiar
and
I
generarion
Authoring
process of
programming (Needs analysis,
system design, deverolment, imprementation
ancr
maintenance)
The
-
SPecial purpose programn ing
toors (Third party ribraries,
source code
analysers, resource editors,
case and code generators) _
Crcating simple progrants in C
(Input - output statements
- Arithmetic, Logicar and Contror statemenrs _ Arrays).
lVlarks:l5 for theory and 20 for practicals
Time: 25 hours
Practicals: Operating System (DOS,
UNIX and Windows) - IIse of Spreadsheer
and Word
Processing Programs - writing
simple programs in c foi Statistical
and Numerical
computations (Computing Basic
Statistics and for Numericar Integration)
Lectures: 4 hours per lveek
Tutorial: t hour per week
Text Books:
' Peter Norton's Introduction to Computers . znd Ed.,Tata vlcGr.aw
Hiil.
2' Programming in Ansi C,, E. Balguruswamy, 2nd
Ed., Tata McGraw Hill.
3. Schaum's Series: programming in C, Byron S.
l
Gottfried.
I
I
Part
1' Differential Calculus:
III -
Statistics - paper
Ma.r. Murks;70
Higher derivatives and Lebnitz,s
hyperbolic .and inverse hyperbolic functions
-
Concavity and points of inflexion
of functions
-
-
theorem Derivatives oi
Mean value theorems - Indeterminate florms
-
Taylor's theorem and Irlaclaurin's series Expansion
curvature (cartesian only) - Asymptotes Functions ol
several variables
-
Limits and continuity
2'
I - Operational Calculus
-
-
Partial Differentiation
-
Differentials
-
Jacobians.
(Marks:30 Hrs:40)
Integral Calculus: Introduction to integral calculus
-
Numerical integration
-
Reducrion
- Application of definite integrals (Volume and surlzice area of solicl revolurion
Areas and volumes in polar coordinates).
(Nlarks:30 Hrs:40)
formula
-
3' ordinary
differential equations: First order variable separable
Firsr ordcr
homogeneous - First order linear
- First order exact Linear equations with constant
-
coefficients
4'
(Marks:20 Hrs:25)
Laplace transforms: Laplace transform
-
Inverse translorm
- Linearity - Laplace
transform of derivatives and integrals
- shifting of the r-axis - unit step function Differentiation and integration of transform Convolution partial
fractions - periodic
functions
5'
-
Second order linear homogeneous equations wirh constant
coefficients.
-
Applications.
Fourier Series: Periodic functions
formulas
-
(Nla;ks:15 Hrs:15)
-
Trigonometric series
Functions having arbitrary period
expansion.
-
Fourier series
-
Euler
.- Even and odd functions - Half ran_qe
(Marks:10 Hrs:10)
Lectures: 4 hours per week.
Tutorial:
I hour per week.
Nlain Text books:
l'
Engineering Mathematics, vor. r, s.s. Sasrry, prentice Halr.
(Sections 3.2-3,3.2.6,3.3.4,3.3.6,3.3Jr,3.3.g, 3.3.g,4.1, .1.
5.1.
2.
l,
r.3,4.2.4,4.3.r,4.3.5, 5.r,
5.2, 5.2.1, 5.2.2, 5.2.3. 5.2.4,5.3, 5.3. l).
calculus and Analytic Geometry, Thomas Finney, 6,h Ed., l.iarosa.
(Sections 1 8. I to I 8. l0)
3' Advanced Engineering Mathematics, E. Karzig,Wiley Easrern.
tfansforms and Fourier series)
4
.t
(Sections of Laplace
Part
1.
III - Statistics
II
- Paper
- Elements of Data
Mu.r. lularks; 70
Introduction Statistical Data and
statistical Nlethocls: Statistical Data collection,
Presentation' Analysis and interpretation
of Statistical Datr - Some improprieties (bias omission of important factor
- carelessness _ non_sequiiur _ non
confusion
of association and causation - insufficient
fa'ilure to define units
methods.
-
misreading totars
) sdatistical Data: collecting
statistical
and secondary sources
-
charts
4'
-
-
data
2
-
concealed classiflication
-
or.riline
- suitability of data - comparability
of procedures)
-
TabLrlar presentation
5
-
-
-
Graphical
semi-logarithmic
hrs.
characteristic of univariate Data: Frequency
distribution (construction
-
- primary
Titnc: 5 hrs.
- Line diagrams - curves using arithmetic scales
pictographs _
Statistical Maps.
Marks: 5
Time:
ogives)
Reseurch
of data from different solrrces.
Charts
frequency distributions
_
Ti;,te: S lr,ls
data (Methods
statistical rables and Graphs: Text presentation
presentation
comparable data _
poorry desig.red experimenrs)
fuIarks:
fuIarks: 3
3'
Analy.is and Basic probability
-
curves of
of Central rendencies (Arithmetic Mean,
Median' Mode' Geometric Mean, Harmonic
Ivlean - their merits and denrerits) partition
Measures
values - Measures of dispersion (Range
deviation
-
Absolute and relative measure of dispersion
moments and central moments)
5'
-
-
- Mean deviation - Standard
- L,-,renz Curve - Moments (Raw
Quartile deviation
ivleasures of skewness and kurtosis (Moment
coel.ficients,
Karl-Pearson's coefficient, coefficient based
on partition valLres ) _ Correction of moments
for grouping error.
tVlarks: IS
Tirtrc; 25 ltr,s.
characteristics of Bivariate Data (Linear correlatiorr): :livariate
data (Raw clata and
frequency distribution)' Correlation theory (Least
square technique for fitting of straighr
line - Standard error of regression es[imate The correrarion coefficient and explained
variation - The product moment formula _
Computation) _ Correlation of grouped
_
dara
Correlation of ranked data.
6'
Interpolation and graduation: simple interpolation
polynomial
- Newton's formula -
interpolation.
-
Dj,ferences
Interpolation of statistical- series
Nlarks:5
5
Tilne:Shrs.
-
Differences
of a
- Graduation - Inverse
7'
Random experiment: Sample
space events- Algebra o[ uvents
- kinds of probability
(classical and frequency) Axiomatic probability - prob.bility .space
-
probability-'Conditionar probabirityBaye,s formura
8'
_
Indepe,denr evenrs.
twarlcs: I5 Time: 20 hotts
Random variables: Distribution
function - Discrctc and continues r.a,dor,
var.iabrc.sProbability density functionsBivatriate rv's- bivarriate dis ribution
function and density
functions - Marginal distributionsconditional distributions - Independence
of tlvo randonr
variables.
9'
Theorems on
15 Tinrc: 20 lrcurs
Mathematical expectation: Elementary
properties of expectation- Expected
varue of
function of a random variablemean- variance moments- vroment
Generating Function
expected value of functions of
two random variables- addition
and
fuIarks:
a
-
multiprication theorem
on expectation-covariance and
correlation coefficient - conditional
expectation and variance
- Bivariate moments _ Bivatiate
m.g.f.
fuIarks: IS Tilrte: 20 ltours
10' Discrete
distributions: Uniform- BernollieBinomiar
Binomial
-
Hypergeometric
Examples and
- Multinomial
applications)
l1' continuous distributions: Uniform
- p.isson Geomerric -
(Delinition, properries, McF.
Mark.;:
- Exponent.iar - Gamm;,r,
Mark"':
Text books
l'
2'
3'
Tinte:
Beta
- Normar. (Definition,
l0
Time:
l0 lrcurs
l0 hours
t hour per week
:
Applied generar statistics, croxton
F. E., cowden D.J. and ICein s, Prentice
Hall of India
(New Delhi), 3rd edition. ----Chapters I, 2, 3,4,6, g, 9, 10, I9
.
An Introduction to the theory of Statistics, yure
G.U. and I.-enda[ M.G., Charles Griffin
and Co., London, l4th edition.,
Chapters 4, 5, 6,7 , 9, 13, 24.
A'M' Mood , F.A. Graybiu and D.C.Boes -inrroducrion
ro rheory of Staristics- Ivlc Grew_
Hill International Ed.
4' Fundamentals
New Delhi.
5'
Tutorials:
rVlomenrs.
l0
Properties, MGF, Moments, Examples
and applications)
Lectures: 4 hours per week
Negarivc
v'K'Rohatgi
-
of Mathematical Statistics, Gupta
s.C. and Kanoor V.K. S. Chand ancl Co.,
An Introduction to Probability Theory
and Marhematical si:rtistics, wiley
Eastcrn.
par
In
I
part r
l. oyerview of Database i\
data as a corporate res
approach versus databas
oriented approach) Data
_ Differeni kina,
of OgM
- Types of database languages - Data models
2' Traditionar Data Mod-ersi eNSI/spARC
3.
)ap:r II
leni &
uage
nagement
nd knowledge Increasing use
ol
lata management
File
6riented
lagement '@isadvantagcs
o[ t,ilc
trarion roles _ DBMS irchitecturc
na;'y - contents of data
dictionary
-
3_rever archirect
models in this architecture _
A
brief overview of the
hierarchical model, network
modcl and relational mo
manipuration constructs in each
of the three moders with
three models
Relation Model: Definiti<
equivalent)
Concept
Fundamentat integrity
project, cross product,
-
ional model (Codd's 12 rules
or
oi
rute
diff
:y, alternate. key, foreign key
-
f'1:y.
Relationat algebia, sellct,
lurioln, natural join, outer joins),
I ca.lculus _ Simple and complex
luery Ianguages.
T ... FROM .....WHERE ......
)ELETE, UPDATE VIEW
oi.related nested queries _
SeL
ro:essing and SeL _ Integrity
-
ref,erences)
Handling
6.
of nulls, cursors
grammatic access to relational
dat
fame - Apptication prog
Introduction to ODBC (OpJr
Database Design: eNSVbp
Physical model-and relationships _ ER diagram _
St
and aggregation _ Convertiig
an E_R
in logical (relational) moaei urOo,.
dependencies _ Join dependenJies _
Domain-Key Normal Form) _
Issue
organization for relational tables _
Enlity-Rla,io*r,lf,
7.
p':ual model
-
Logical model
-
indexes.
Overview of Advanced DBI
the more advanced topics in
overview level. The
e the students a general idea of,
ated will be covered only at an
uoncepts taught are required to
.
treatmer
be only at a surface level.
contemporary darabase manz
management - Query pro..ri
Use o}query execution plans
and transa"iion p.o.essing
-
nl filt organization uied
ISAM
in
and B-Tree) - Butfer
:i what is done in each stage
lnce - Concepts of transaction
- Examples of transaction _
7
I
Database ccin
;:
fi,?['o'Xi;":',
)n t
8.
In
secu,ry.
Design and Developme
(Student
rencv
l,ii'::t#:1,0:tilo;;';,;
Commercial RDBMS plarforms.
rn. at l:ast onb of the
standard
is expected to
ii; l.ji.l'.TijiJ.1an
l.
Database
d an o ver
s', AK Majumdar, p.
Bhattacr,ryya,Tata McGraw-Hiil,
rgg6
Korth, A.sirberschatz, McGra*rniir,
fi',."rd
Edition)
r99 r
ystems' R'Elmasri; S.Navathe,
2. Database
3. Fundame
Edition)1994
.4' An
Introduction to Database
systems;
l99 t
#:ffiil,Tff^"
:Reference
Books:
- rransaction logs -
a"n1o,,,in cummings; (Second
Bipin Desaia, Galgotia public:rrions
(wesr publishing;,
Management' F'McFadden'
J.Horfer; Beniamin/Cunrmings
(Narosa), (Fourth
.lT:BT;"tation
and Managemenr, perer Rob,
cartos Coronel,
ms, Volume I, C.J. Dabe,
Addison_Weiley.,5(h Ed,.1994
Gatgoria pubrishing (2; er.-j1l}+
^Y,,Trn,
als,
lresrgn Implementation, D.M. (roenke, prentice
Hall
,r,ilj:Tture through,C, Language
:,lrffi:L?,,rru
Abstract and
;'.iii,ilIl;ffi
^
J.
in
programming.
,y1t.il
rype.s
::*!,_'fl :l{J:..i"t":i:,:i",,f
-stiu.tr,-.0
,uiH.;
terms of, time
ind spo..l -
Arrays: Representation of arrays
(single and multidimensional
rdering.
defined dara
array-()
approach [o
_ Acldress
tation of stacks and queues.
using arrays
on from infix to postfix and
prefl
-
calculation
circurar queues -
"*;r,=rrionr, Evaruariorr or.
Linked stacks a,d queues porynomiar
-
- operations on risr n using rinked Iists Circurar
rinked Iists _ Doubry rinkecr Iisrs _
' representatio-n-using
generalized list strLrcture.
correctron: Memory ar.rocation
strategies (First fit and best-fit
: memory freeing algorithm
in each ca"s:;.
ts
,
- 7" Trees:
Bin
traversal ._
'.
raversal
Representati
floresr inro rr(
g. symbol tab
(HeightBarar
e.
-
-nord
traversa]
- Postorder
;;r:tt
traversal
methods)
re represent,
iionof a trce - convcr.sio,
game trees.
o/'
3inary seareh t:tt
rre
- Dynamic t'ee rabrcs
thms for
i;;;il;ff,
(sequentiai .ro
Ir
n,",^,.""-^:''"
binarv searche
ton' serectio';;;
' - In
selection
searrh - Hashing
and L;;1.;ilit.;;,jlYed
on murtipre kevs)
bubble sort rJuick
ro stiingl;#ffi,ft1',1[fl1],
ona ,.rg. ,o,",^l"il.u,
schemes) _
sort - sorting
rg
algorithm.-'
-'rrr1$ representation
- String manipuiation
(Lrurr uslng
arrays
en.tation (Adjacency
matrix _
pth first r.o.Lr,
- B;.",t,h'f;
per
Text
l'
Books:
#Htdri
week.
and list.s
a :"_^-. Iists
"" - Adjacency
mLrrti list.s) _
* ;;:t,
Max. nrarks for
practicals: 25
Tuturial:
I
h;;;;;;.;i:
of Aigorithm &
Data Strucrure
in pASCAL and
C,
v'ar' uonnet
Go
-' G.H.
and R'B'
'C', Augenstein
an, ot -r n
.o." o"r,s*'
l.ii;r r,, e 8 7
Aron M. Tennen
A otfr..i p..rti."
[t+ii!x{,::'Jffi
uter programmins.
t and File st*.tul.?ona]d E' Knuth'
,,, Mo.y
Hail, 1992.
I
E,il;i:Sffl.Tii,il,,,,
;ll
Yates,
1'
2'
3'
4'
5'
Part III - Actuarial Science paper I
-Financial & Investment Analysis
Part A - Financial Accounting ancl Anaiysis
Accounting: Meaning - Concepts and Conventions Going concern, acrual, mater.ially
matching, dual aspect, conservatis.m and_consistency.
fuIarks: 4 Tirtte: 6 lr,,:s
Elements of accounts for investors: System
of
accounting - Trail balance protit and los.s
account _ Balance sheet _ Depreciation
methods.
klctrks: 12 Tinrc; l 5 hr.r
company Accounts: Issues of Shares & Debentures
- Under.,vriting - right issue - Irinal
accounts.
I lctks: 12 Tittte: 15 lrs
Insurance Accounting: Final accounts valuation
Balance
sheet
- claim calculation.
Marks:lO Time: lS hrs
Financial Analysis and Interpretation components
of financial statements: comparison oI
financial statements Ratio analysis Trend
*orvrir - Fund flow analysis. (Theory only)
-
Marks:6 Tinte:9lrs
tment Analysis
- Savings and in,"estments _ Rolc ol savings _
usehold savings _- Investment under different
ion and business. fuIarks:S Time: 6 ltrs
s of investor - Charucteristics of investment _ Tax
vs riskiners - Trad:ibility _ Class of instruments
peculations. ilIarks: 5 Tilne: 6 hrs
monev marker insrruments
9'
GIC).
-
Biil
marker
- HI"[TI',[;,utlffit',';1T;?l:tTi-i.i::
fuIttrks: l0 Titne: I0 lr,,:s
Capital Market: Meaning - New capital rssues Methods
o:- floatation - +ol,[cr. through
prospectus - Offer of sale Private placement
Right issue - Bones ,nor., - Al;r';;;*
issue market - stock exchange (Meaning
- impo.tince - Funcrions - Measures to promote
healthy
stock exchange
-
Trading mechanism
-
gaata and Forwarrl trading
-
OTCEI and NSE).
Marks: 12 Time: 12 hrs
Instruments for rating - Limitations to
10' credit rating: Meaning Importance Rating
system rating - Factors considered Credit rating og.,i.i.,
- CRISIL, CARE and ICRA.
lvlurks:8 Time: 8 ltrs
11' Mutual funds:- Definition Types of funds
- UTI schemes - off share funds - SBI muruill
fund - Indian Magnum fund N'v. Advantages
of mutual funds
- - Money market mutull funds
- Presenr sratus of mutual funds in India.
Mr,r;i''-Titrte: l0 ltrs
12' Portfolio Nlanagement: Meaning
Scope - Aspects of porr;olio management
- Moder.n
portfolio theory.
_fulctks: 5 Tiltrc: S ltrs
13' Government and economy: Assistance
- Restrictions Inter.t-erence - policy nreasures Monetary and credit - Trade Fiscal policy Influence of inteinational economic agencies MF, World Bank, WTO and SApTA
Mnrks: g Tittte: g lr,:s
iVlax. lVlarks: 70
Lectures: 4 hours per week.
Tutorial: I hour per rvcck.
Text Books:
t'
2.
Advanced Accounting, S.p. Jain and K.L. Narang. (For part
I)
Investment management, U.A, Avadhani (For pirt
II)
r0
Reference Books:
l.
2.
3.
1
1
9
7.
8.
9'
or. r r
. Shukla and T.S. Greval
N. Maheswari.
Manageriar Financ^e, J.ur.o #Jl',,li';".
Eugene F. Brigham.
lndian Economy, A.N. Agarwal.
Public Finance, B.p. Tyali.
Public Financel K.K. Lekli.
Business Environment, Francis
Cherunilam.
Recent deveropments in Indian Economy,
Edited by uma Kapira.
It
-I
part
l.
I
The re
s
2.S
C
convergen
an infinit
Condirion
^
J.
sequence
o
Reirnann
Contjnuous
required) _
Improper
int
7.
8
Cornplex
rr
'lll'l::: (55 turarks,
ti1.ir." numberc - po'lar ,o.T'-:ro
8*,ii:I;i
-Lupiac.egu,
u^, : ;
y,,[
i:::,
l:i:;*1; ?1,*l*, *,,,,
I0 hrs
powerseries:
ro.
rr' rntegration
by
rea/ integrars,
",,
;,1;:,t f;
;*,:li
".rr
r
eries.
ie
rriangLrrar
unCtions.
15 hrs
m*:*::::?;?.:?;:*:1[[r
_, ...Lvgrius
impro
u.orrr.,rr,f.,.or;;,;;,.fi1
ek.
Trrtorial:
t2
I hour per ryeek.
part
III
_ Statistics - paper
al Methods
IV
polynomials (second and thircl degree)
Correlation ratio.
_ Usc ol_
Manifold classification" contingency
tables - Association in conri:rgency
tabres coefficient o.
contingency - Pearsonr,t .o.ffi-.ieni
of continge,ncy']'Ts.hupro*,r-.o.ificient _Homogeneous
and Heterogeneous classifications.
Marks: 15. Tiurc: 20 trs
characteristics of multivatriate data:
Multiple ,.gi.rrio, equ,,tion (Least square
.
theory)
Partial regression coefficients Partial
.orr.jotion'coefficienls - Multiple correlation coefficients.
ancl
-S u rv i vor r,".li';;u';lt;
iJJX; on _
e Cox proportiona; Hazard moclels ancl
its
assumptions _ Co:,: proportional hazard rnodel
: 25 ltrs
nation in a comperitive market _ pre_elasticity
nation of demand curve from market data _
Jffi
l3
cur-ve
communication
-
_ lariation in house_hold
sizc
ancl
5. Timc: t0lrs
m - Statisticar or'iices at the centr.c statisticar
curturar statistics - Indust.ar Statistics
- Trade
ur and employmeni _ Statistics of transport
and
Financial and Banking Statistics _ Educational
Statrstics. .,
lVlarks: 10. Timc:5 ftrs
Max. IVIarks: 70'
Lectures: 4 hours per week.
Tutorial: I hour per week.
Text Books.
l' An Introduction.to the theory o[ Statistics, Yule G.U. and Kenurall
M.G., Charles Grift,in and
Co., London, 14,1, edition
2' Fundamentats of Mathematical statistics, Gupta S.c. and Kapoor
v.K. s. chancl and Co., Ncw
3'
Statistical analysis.of Psychology and Education,
Gcorgc
Company New york.
A. F:rguso,, Mc craw-llill
Book
i
+.
, B.R. publishin-e Company, Delhi.
, New york. (Cnapters 1,2,3,4 ancl 6).
5.
6.
Collet, Chapn,an & Hall. (Chaprers [, 2 and
Fundamentals of Statistics,
8 and Appendix A)
vol. II, A.M. Goon, M.K. Gupta
t4
and B. Dasgupra. crraprcrs 5, 6, J,
Part
l'
III
. Statistics
- papcr V
rransrormation or onc dinrcnsionar and
,iT:fl;..*fi:iHirnr variabrcs
ce
-
Sufficiency and Completeness _ Rao_Blackwell
Time :10 Hrs
_ posterior Bayes Estimator _ Loss
Function,
fuIarks: 5: Tinrc l0 Hrs
.soid of Conccntrati rn _ Wilk,s gcncrali.scd
vlriancc
..5 Time :S Hrs
Marks:l0
NIax. Marks: 70
Lectures: 4 hours per wcek.
Tuiorial: I hour pcr
Text Books:
1'
rvcck.
Introduction to the Theory of Statistics, Mood,
A.M., Graybill, F..ir.. and Boes D.c., Mccraw-Hilt,
New Delhi' (chapter vI, chapter vII (Except seciion
oj, cnup,", vilI. chapter IX (Except section 7).
Chapter D().
2. Section 5.3 of Introduction to Reliability Engincering by E.E. L*vis.
John Wilcy antl Sons Inc.
New York.
Books for Reference:
l' statistical Inference, George Casella and Roger L. Berger, wadsworth & Books,
california.
t5
part
III _ Statistics _ paper VI
I' svstems linear equations ona *"t.iLlTTf,t ffi3.?3lrt,,_o_r, in two unknowns
in n unknowns - Gauss-Jordan and
- rrr equarions
Gaussian .ri*i*ti*
Homogen"ou,
,yr,.rs
of equations
- vectors & matrices - vector and marrix ;.;;;;;: Maftices
onitin*.sysrem
of
equations _
Inverse a square
of a matrix - Elementary rnatrices and matrix
inverses LU-factorization iitll-:^TransPose
of matrices. Marks: S Time:
I0 hrs
2' Determinants: Properties of determinants
- cramer,s rule. Marks: 5 Thne: l0 l,,s
3' vectorsingt2andgt3: vectorsintheplane-scalarproductandprojectionsingtz-vectorsin
space
4'
-
cross product of two vectors
-
Lines and pranes in space.
vector spaces: Basic properties. sub
spaces
-n-r"rri,y,Linear .o*o'l{:r,f;;1rl"ffir,r_r,rJ,n"",
independence - Basis and dimens.lon
non[,
rows space, corumn space of a matrix
change of basis - orthogonal basis
and projection, in 9t" Least square
approximation - Inncr
product spaces and projections.
fuIarks:
Tinte:
I0 l.,s
Linear transformitio.rsi properties of
linear transfor on _ Range _ Kernel _
representation of linear transformation _
Matrix
trorno.fr,irm _
.
5.
-
-
'- J - -
I0
Isom"t.i..,.
6.
Eigenvarues, Eigenvectors and Canonicar
Eigen ,",r.r'Ifik;; l!"r!::;:;1r1,'i"0.,
of population growth Similar matricesforms:
and diagonalization -symmekic matrices
and
orthogonal diagonalization
- Quadratic forms ono .oni. sections Jordan Canonical
-
-
7.
fuIarks:
8' L
florms.
Marks: I0 Time: 15 hrs
Schur,s unitary triar:gularization theorem
I0 Time: IS
hrs
;
_ Real
duction to diagonal form positive-definite
fbrms ancr
or hermitian form _ Simultaneous reduction
of pair of
leigh quotient _ Courant_Fisher min_max
theorem
em: Graphic solution
_-artificial variable _
- simplex method (Standard form - Duality
Big M methoci) _ ironrponarion problem _
s. Game theory: Ivratrix ,o*.r'1tl:1,?fr:ii;"51-,;,^r,{:o;'^3{,"ff"Jil,#i*:.:.;;",.
- games in to Lpp.
Marks: I0 Thtte: 15 ltrs
l0' Gauss Markov Linear Model: Linear .
estimation and.test of.linear hypothesis
variance (one wary' two way, two
- Analysis or.
way with interaction) Analysis
-
two way).
Max. Marls: 70
Lectures: 4 hours per week.
4'
5.
or.o'ro.iunce (one way
cs:
20 Tilne: 20 lrs
Tt-torial: I hour per
Text books:
l.
2'
3'
Ma
ancl
rveek.
Elementary rinear al.s9_b_ra: stanry I
Gross Man. saunders Coilege pubrishing.
Matrix Theory, David w. Lewis, Aried pubrishers
Ltd., Bangarore.
operations Research ' Hamdy A. Taha.
Mac Millen publishing Company, New york. (par.t
I.
Chapter 2,3, 4.1 to 4.4,5 and Section
I 1.4).
schaum's outline Series: Theory and Problems
of matrices, Fri nk Ayres, JR., Tatu Mccrarv
Hill, New Delhi
Linear Estimation and Design of experiments,
D.D. Joshi; wirey Erstern, New Derhi.
l6
Part
III - Statistics - paper VII
Practical I
Practicals based on
fv,
Paper v and Paper VI. Use o[ ..:cientific (non-programrnable
lolttrabres
calculator and Statistical
are ailowed to use in the examina.ion ha[.
Max. Marks: 50
)
Part III - Computer Science - paper II) _
Introduction to object oriented programming and C++ and \ vindows programnring
Part A- introduction to object oriented programnring ancr
c++
l. An overview of object orienteci programming: The need of
ob]ect oriented prograrnrlirrg
(Procedural languages, the object oriented rppro".h, advantage
ol'obJect oriented programming)
- Characteristics of object' oriented languages (objects, classes. inheritance,
reusabiliry, new
data types, polymorphism and overloading).
2.
P
object oriented programming using Ci+ : An overview of C++ progrcutu,irtg
Basic progrant constructio, ; Fun tions, program statements, white
spa, e)
Output luing cout: String constants
Preprocessor Directives : The #incrude Directive - Header files.
comments: comment syntax - usage - Alternative Comment Syncax.
Integer Variables : Definition - Declarations and definitions, Variable names,
Assi_gnment
statements, integer constants, output variations.
character variables: character constants, initialization, Escape seluences)
F Input with C: in Variables defined at point of use, Ca.scading
<<, Expression.s, prccedcncc.
Type float: Floating-point constants - the const
Qualifier -int- +aupn e directive.
Manipulators : the endl manipulator, lhe setw manipulator, the long, cascading
thc insertiop
operator, multiple definirions rhe IOMANIp.H header file).
Variable type summary : Unsigned data types.
Type Conversion '. Automatic conversions casting.
Arithmetic operators: The remainder operator - Arithmetic assignment operators ipcrement
operators.
#include )
The for loop variatiorrs, Thc
while loop, Precedence: arithmetic and relational operators, The da Ioop, Uses).
f construction - The switclt
statement - The conditional operator.
logical OR operator - The logical Not
operator.
Precedence summary
Other control sta.tements: The Break statement
- The contirule staiement - The g,o/o statement.
Structures: Structures (A simple structure, Specifying the structure, Debugging a structurc,
variable, accessing structure numbers, other structuri features. structures within structllr.es.
structures and classes) -Enumerated data type.s.
Functions: simple functions (The functional declaration
-
Calling the function
definition- Comparison with library funcrions - Eliminating the declaration)
passing
arguments to functions (Passing
structure variables
-
constants Names in the declaration).
External variables
-
Static variables
-
storage)
variables
-
-
Thc flunctiorr
Passing by value
Returning by referenr/e.
-
Passing
passing
s and object.s - Sp:cifying the class _ Usin_e tlre
C++'Objects and Cata types _ Consrructors- and
ts (overloaded constructors - Mernber firnctions
guments) - Returning objects from functions _
memory - Static cla.s data.
operators) - Overloading binary operators (
O
Concarenaring strings - Multiple bverloading
operators) - Data Conversion ( Conversion
b
operators (The o,Lerafor keyword _ Operator
temporary objccts - Limitation of increntent
ttt
ersion
.
Public and private inheritance (Access combi
specifiers ) - Level of inheritance _ Mult
Debugging pointers.
data structures) -.Error handling _ Redirecrion
t - Redirecting input and output _ The cerr anc)
rinter Output - Overloading the extraction ancl
C++ class library: String
classes)
-
class
Member functions)
defined classes.
-
- Stack class - Container class hierarchy (Instance and ab.srracr
Date class - The Queue class (pzrf unogri functions) Uscr-
-
Multi-File Programs: Discussion on murti-fire programs in crass.
l9
]
The clrscr function) - Graphics-mode grapnics func[ions (The initgraplt
function - The circle function - The closegraph function) - Colors (setcolor iunction setlinestyle function - setfilestyle function) - Rectangles and line; (The rectattgle0 function The line) function.
The cputs function
-
-
Main Text books
L
Object Oriented Programming in C++, Robert Lafore, Galgotia.
2. The Annotated C++ reference manual, Margaret Ellis and Bajarne jtrousstrup.
3. C++ Primer Plus, Stephen Prata, Galgotia.
Text books for supplementary reading:
l. An Introduction to OOP (Only Chapter 6), K.V. Witt, Galgotia.
2. Jama's l00l CiC++ Tips, Kris Jamas, Galgotia.
Part B - Windorvs Programming
concept of handleers -The concept of window class - Registcrirtg
The
Architecture:
l. lVindows
a window class - Style like CS_HREDRAW - Instance handle,'s - Cursor handlers - Ivlenu
name - Creating a window - Class names - Predefined and User defined - Window name Draw styles - Width, height etc. - Parent-Child windows - The concept of windows messages Message queue - Visual C++ environment.
Z. Compiting and linking for windows: Compiling for windows - Memory models in Windows
Linking - The stub file.
3. VO Techniques: Drawbacks for Windows - Screen printing - Determining the size ol Window
context handlcs - Tcxt
- The concept of device context - Device context handles - Relcasing
formatting - Using fonts - The concept of scroll bars - Creation of scroll bars - Setting scroll
bar range and position'
4. Keyboard: Keyboard message - Virtual key codes - Parameter; like repeat count, scan code
etc., - System key like ALt-Tab, Ctrl-Esc, etc.
5. Mouse: Mouse action - Mouse messages - Activating windows - Change mouse cursors.
namc
6. File VO: Win 3.1* file functions - Buffered file VO - Common dialog boxes - Open file
-
structure.
1.
Child Windows: T[re concept of child windows
- Child Winoow controls - Child Window
control classes - The static class - The button class - Button messages - Push buttons - Check
boxes - Radio burtons - Edit class - Edit control messages - Edit styles - The'listbox class.
Using menu inputs - Creating pop-ups and
8. Menus: Creating menus - Working of menus
using it - Attaching pop-ups to top level menus - Menu messages - Menu templates - Using
system menus - Messages from menus.
9. Dialog boxes: Concept - Control state - Working with dialog boxes.
Notifying thc
10. printilng: Obtaining printer's driver content - Determining the printer name printer :oU - Page breaks - Determining the device capabilities - Printing graphics - Abourt
printing.
ll. braphics: Fonts - Portrait of a character - Types of fonts - Creating logical flonts - Forrt
-
handle.
12.
13.
14.
Graphical Device Interface: Need - The device context - Dctcrnrinirrg thc dcvicc cupabilitics'
Drawing graphics: Pixels - Lines - Rectangles - Circles'
Bitmaps-:-Biimap handle - Obtaining handles - Internet represcntation of bitmaps - Creating
bitmaps
-
MemorY device context'
20
w
I.,) t
15' IVlemory
-
lntel's segmented memory archltecture
Macros.
16'
,
management: Memory handles and locks
-
- problem:, of windows memory handling
80286 protetted moce+ - The memory Apl
- Kerncl
windows resources: Accessing resources
l7' windows Timer: Timekeeping on the PC- windJws
inteiacrion wirh g259 chip T5c
API functions.
18' windows clipboard: Concept The
clipboard ApI
Loading techniques.
-
clipboard viewers - Clipboard viewer message.
Theory: 50 Marks
Lectures: 5 hours per
prr week.
vyccn.
Text books:
- workin;r of clipboard - The concept o[
Practicai: 25 Nlarks
Tutorial: I hour per wcek.
er, Galgotia.
algotia.
PB.
Windows API Bible, Gonger; Galgotia.
windows Programming power wiih custums Contror,
Gargotia.*
writing windows Apprications from Srart to Finish, D. Edson,
BpB.
2t
timcr.
l.
2.
3.
4
)
Part III - Actuarial Science - Paper I1
Probability Morlels and Life table
Basic Nlathematics of Finance: Simpie interes[ - Compound interest - Sirnple iinnLtities
-
Ordinary General annultles.
insuraltce The Economics of Insurance: Utility theory - Insurance and ut:tity - elements of
Optimal insurance.
Sunrs
Individual risk model for a short time: Ivlodels for individual c.aim random variables Application's
the
sum
of independent random variable - Approximation for the ciistribul'on of
to lnsurance.
Thc
Survival distributions and life tables: Probability for the age at death - Life tables rl-qcs
deterministic survivorship group - Other life table functions - Assumptions flor frirctional
tablcs.
Some analytical
-life laws of mortality - Selcct and ultimate
surviv()r status - Probabilities anct
last
The
stltus
Joint
life
functions:
Multiple
mortality larvs expeciations - Insurance and annuity benefits - Evaluation - Special
Evaluation-sinrplc
Evaluation-uniform distribution of deith - Simple contingent f'-rnctions -
contingent functions'
ol'
6. Collective risk models for a single period: The distribution of aggregate claims - Selection
to the
basic distributions - Propertier of .o*pound Poisson distributi:.ns - Approximations
distribution of aggregate claims.
7. Collective risk models over an extended period: Claims procesi - The adjustment coelflicient
-'lhe maximal aggregure loss'
- Discrete time model - The first surplus below the initial level
g. Application of risk theory: Claim amount distributions - Appro iimating the individual model
re-insurance on the probal'ility of ruin.
-^Siop-toss re-insurance The effect of
- Contingent
9. Advanced multiple life theory: More general Status - Cornpound statusesannuities
- Net
probabilities and lnrurun.", - Compound contingent functions - Reversionary
premium and reverses.
10.
Population theory: The Lexis diagram
populations - Actuarial applications
Max. Marks: 70
Lectures: 5 hours Per rveek.
-
-
A continuous moclel
-
Stationary and stable
Population Dynamics.
Tutorial: t hour Per
rveek.
Text Book:
l. Mathematics of Finance: Hummel and Seebeck. 3"r Ed. NlcGraw Hill Kogakusha Ltd'
Tokyo. (ChaPters 7,2, 4 and 5).
Z. Actuarial Mathematics. Bowers N.L (Jr), Gerber H.U, Hickmr.n J'C., Jones D.A and Nesbitt
c.J. Society of Actuaries, Itasca, Illinois, 1986. (Chapter l, l, 3, 8, 9, 11, 12. 13, l7 arrd
1
8).
22
i
I
Part
4'
III - Actuarial
Science _ paper I-ri
ngencles
t ol death _ Insurance pa_yablc at thc cncl
utation fun.tions.
ent on survival _ Continuotrs lilc annuities _
ith monthly paymrnts _ Commulation lunction
- Varying annu iies _ Recursion eqllations _
able annuities_di. :.
ms - Fully discrt,e pr.cnrium.s _ Truc nrontlrlv
ums - Commutatron tunctions _ Accumulation
Net premium reserves: Frilly continuous
net premium resel.ves - other formulas for
l,ullv
:mium results _ Reserves on a semi continuou.s
sic definitions
- Contributions _ Age-service
thdrawal benefits _ Commutation function.
7.
8.
9.
methods
-
Basic functions for retirecl mel
members.
Max. Marks: 70
Lectures: 4 hours per week.
Tutorial: t hour per week.
Text Book:
1' Actuarial Mathematics. Bowers N.L (Jr), Gerber H.U, Hickmrn J.C.,
Jones D.A ancl Ncsbitt
C.J. Society of Actuaries, Itasca, Iilinois, 19g6. (Chapters
4, 5,6,7, r0, 14. r5, t6, and
I
e).
III - Actuarial Science _ paper IV_pr:ictical
Probability model and Iife rable and paper lit
- Life conringcncies.
Part
Practical based Paper II
lVlax. Marks:40
-
tf
Part III - Statistics - Paper X ' Practical
Computer Based Practical on the follorving topics:
l. Survival analYsis (PaPer IV)
2. Sections 7, 8 and 9 PaPer VI
TI
X
3.
PaPer VIII and
programs in C (C'-+) flor all the techniques
Students are expected to develop their own computer
Statistica/ Ivlirritab arc llso expcctcd'
tire above topics. Use of softwares'like E-xcel &
discussed in
Max' Nlarks:
1.
2.
4o
Project rvork
A minor project on Computer Application: 25 Marks
Project on Statistics: 50 N1arks
I
I
I
26
\
t
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