, paper 1lo.' Durdlon

UNIVER$ITY OF CALICUT
,
Bevlsed SyllaBu$ for Part lll fflathematlcat EgonomEs (subslrtilyl for
B. $c. Mathclndlcs (tf,dn) and Stdtstlm (Haln) to bc rffccflvc ftom
2M admleslons.
Schpme of Examlndlon
Pail ltl
Sl.
.
tldhrm*lcd
Economlcs {SubsElary}
paper
Durdlon
Paper I - Malhematical Economics 3 hours
Paper ll- Mathematlcal Economhs I hows
1lo.'
1.
2.
Tifle of the
ffirf,r
g0
ilO
Paper - I ls to writlen at the end of the Flrst year and Paper'll d thc end of the
second yoar. For bolh lha'Papers, lha quastlon papsrs are to be preparod in
ouch a mannsr lhat ths two-tirird of tha quastiona-cerry frJl marka. "Non
Programmable tclentiflc cghulators can be usad in the eximinrllon rs well ae frr
classroom$.
-
Revi*d Syllabus for Pat lll tlathemdical Economhs (SrerHiary! for
B. Sc.
ilethemdics taln and Stdistics (Haht to bc.iffiectivri ft6h
2O0c-
Paper I
l.
2.
: Mathematical
a&riissSons
Economics
Demand and Supply Analysh - Concept of demard, demand and supply
funcllons, prica elasticity of demand, cror! ela*llcfiy. Ma*et eqdhrium -'
llnear, nonllnear arul two commodily modsls. Congumefs arul
Producer'r surplus.
Cost function - Arrerage and ltiarginal Costs; short run and brry run coets,
normal cbsl condltlons. Gomparlson of marlret wlue and normal ralue.
Ctisl funclion in ths cubic form:.
3.
Ravanue funclion - Marginal Rwanua (MR) ard A.veraga'Rewnua (AR)
funcllons. Relationship bltween MR, Afi ani Elasticily oi Demard.
1. '
.
Consumer behdviour - Utility, cardinal and ordinal utilily, maximisatbn of
ttrility, Budget conslrairil and equifibrium of the cor]Bumor.. lndilierence
curves and their properlics.
\
Price delerminetlon in perfect competltlon, in monopoly, dlscrlminating
5.
MonopoS, Duopofy and Oligopoly.
Production functions, ro{urn to scale, linearly
homogeneous production function and ils properties. Euler's theorem and
its appllcation t0 staffiard productlon functrions. Marginal rale of
substitutisn and elasticily ot substitution, least cost combination.
Meaning and nature
G.
of
Ouestlon paper earrying 135 marks is lo be prepared and the studenis can
earn nol more than 90 rnarks from this Faper. The Paragraph wlse
dislrlbutlon of marks is given below: -
--
Para
Marks
Para
Marks
t.
30
4.
2$
3,
15
5.
2n
3t
l5
6.
?5
]otal
135
Boolte for Reference:
1. R,G.D. Allen 2. Chiang
3. Taro Yamane.
1. B. C. Mehta and
G,M.K.
Paper ll
-
Madnani-
MathemgticalAnafisiq for Economists.
Fundamental Methods of Malhematical Economics
Malhemaths for Economics
Mathematics for Economists.
illrathematlcal Economlcs
,-
2.
,
'Theory and Opllmum
Malthusian
urvg. Populalion trend in lndia.
ineome Distributionj lnequalities in income - ceusee of inequalitie* and
remedies Parelo's law 'of lnccme Pafeto's distrlhulton and ils
propertler - Fitting Pareto's curve. Lognormal distribution - its properties.
;
Constrrrction of Lorenz curve.
3.
Dlfrerence eouatlon: $olutlon to flrsl order andrsecond ortler dflference
equations with constant coefrlclents. Economic models - use of models ln
economh theory, ercgonous end endogenous wrlables. Structure of
mora!, eiochaatic and non stochastic models, static and dynamic, lineaf
and nnn linear, macro anrl mhro models illustration propsnsity to
consume. Models orr multiplier acceleralor Harod Domar growlh
model, cob - wab model.
-
-
-
-
naiirrlls Of SmlPrts
B indax numbsrs'
ian
it llt
4.
6rs.
G0st
Graphical solulion' Formulation general Linear
primai via
Simfltex method - Duaiity - $olrring ihe
atlon of dual'
5.
' Garnc theary - Basic 'concePts of
sum galiies, ilay off m
'-
G
rectangular games
reclanguiar gamB as
solutions.
lnput-ctureofaninpur.outmod+l,theopen
ei-proOution.iunction' dyt-''' '* inpul model,
- oulPut analYsis'
ouip,;t
students can
the
t11"""'"",:i;"t
pa ei carrylng 165 marks is to be prePareuI and
T:
The paragraph wtse
earn oui nr ,* ii *,i rio inart<s from this'paper,
Question
distrlhutiiin of maiks is glven helow:
Para
Harks
Par.a
1.
20
4"
5.
2.
q
r,.
25.
o.
Marke
Para
Marks
15
?fr
'5U
15
Total
165
E++ks for P.ri+t*i:te
AIi:n
r+hi-.-n
Taro '{a:rar,:
1.
R.G. D
1-
\Jltrdrrj
3.
4,
B. C. ;'i'lehi* and
G.l'",!.}i.
5.
6.
- MathematicatEconomlcs
Economics
- Fundarnental fUeifrods of Mathematicat
- fulathematics for Ecoilomists'
i,.:ssnani - F.4athematlcs for Economlsts
f[,ffi]-EfffJffil- p"{tcro Economic rhaory - A mathematical
S.C.Cr;tta& -.-,----{a of Appliatl iatistics'
- Fundamentals
V.K. Kapoor
approach