Mathematics
Course Duration : 3 years (Full Time)
Aims and Objectives
Mathematics is the mother of all scientific courses. It covers the wide area of Computer Science, Engineering Technology, Operational Research, Physics, Chemistry, Statistics and the research work of all the different fields of commerce, Psychology, Social Sciences and Arts.
It enables students to build a firm platform of bright future.
Career Opportunities
 M.Sc. (Mathematics, IT, C.A.), P.G.D.C.A., M.B.A., M.C.A.
 M.Sc. Tech., Material Science
 ISRO & Plasma Research Institute
Departmental Activities
 Unit Test
 Assignment
 Seminar
 Competitive Examination
 Professor A. R. Rao Mathematics Competitive Examination
 MTTS Test
Semester 
Course 
Unit 
Topic 
Faculty 
1 
Mathematics101 
I 
Successive Differentitation 
Mr. A.V.Kadia 
II 
Mean value theorem & Expansion 
Mr.A.J.Shah 
III 
Matrix1 
Mr. R.M.Shah 
IV 
Matrix2 
Mrs.G.J.Prajapati 
3 
Mathematics201 
I 
Limit and Continuity; Partial Derivative 
Mr.A.J.Shah 
II 
Differentiability of function of several variableI 
Mrs.G.J.Prajapati 
III 
Differentiability of function of several variableII 
Mrs.G.J.Prajapati 
IV 
Application of Partial Derivative 
Mr.A.J.Shah 
Mathematics202 
I 
Vector SpaceI 
Mr. A.V.Kadia 
II 
Vector SpaceII 
Mr. A.V.Kadia 
III 
Linear Transformation 
Mr. R.M.Shah 
IV 
Matrix 
Mr. R.M.Shah 
5 
Mathematics301 
I 
Linear Maps 
Mr. A.V.Kadia 
II 
Inner Product space 
Mr. A.V.Kadia 
III 
Determinants 
Mr. A.V.Kadia 
IV 
Eigen Values & Eigen Vectors, spectral theorem 
Mr. A.V.Kadia 
Mathematics302 
I 
The Real Numbers 
Mrs.G.J.Prajapati 
II 
Sequences 
Mrs.G.J.Prajapati 
III 
Functions & Continuity 
Mrs.G.J.Prajapati 
IV 
The Derivatives 
Mrs.G.J.Prajapati 
Mathematics303 
I 
Propeties of Complex numbers 
Mr. R.M.Shah 
II 
Continuity & differentiation of complex numbers 
Mr. R.M.Shah 
III 
Propeties of L.T. of complex numbers 
Mr. R.M.Shah 
IV 
Fourier Series 
Mr. R.M.Shah 
Mathematics304 
I 
Convex set and L.P.P. 
Mr.A.J.Shah 
II 
Problem solving tech. for L.P.P. 
Mr.A.J.Shah 
III 
Dual simplex method 
Mr.A.J.Shah 
IV 
Transportation and Assignment Problem 
Mr.A.J.Shah 
Mathematics305 
I 
Prieliminary Of Number Th. 
Mr.A.V.Kadia 
II 
Prime Numbers 
Mr.A.V.Kadia 
III 
Fermat’s Theoram & Eulers Theoram 
Mr.A.V.Kadia 
IV 


Semester 
Course 
Unit 
Topic 
Faculty 
2 
Mathematics103 
I 
Diff. Equation of first order and first degree 
Mr.A.V.Kadia 
II 
Linear Diff. Equ. 
Mrs.G.J.Prajapati 
III 
Sphere & introduction to conicoids 
Mr. R.M.Shah 
IV 
Polar coordinate system, cone and cylinder. 
Mr.A.J.Shah 
4 
Mathematics204 
I 
Multiple Integral 
Mr.A.J.Shah 
II 
Beta & Gamma Functions & vector calculus 
Mr.A.J.Shah 
III 
Line Surface and Volume Integral 
Mrs.G.J.Prajapati 
IV 
Partial Diff. Equation 
Mrs.G.J.Prajapati 
Mathematics205 
I 
Group theory 
Mr. R.M.Shah 
II 
Sub groups & fermats theorem 
Mr. R.M.Shah 
III 
Permutation & normal subgroup 
Mr.A.V.Kadia 
IV 
Isomorphisam of groups & Automorphisam groups 
Mr.A.V.Kadia 
6 
Mathematics307 
I 
Rings 
Mr.A.V.Kadia 
II 
Subrings, Homomorphisam 
Mr.A.V.Kadia 
III 
Polynomial Ring 
Mr.A.V.Kadia 
IV 
Fields 
Mr.A.V.Kadia 
Mathematics308 
I 
Riemann Integration 
Mrs.G.J.Prajapati 
II 
Infinite SeriesI 
Mrs.G.J.Prajapati 
III 
Infinites SeriesII 
Mrs.G.J.Prajapati 
IV 
Taylors Series 
Mrs.G.J.Prajapati 
Mathematics309 
I 
Matrix Space 
Mr.A.J.Shah 
II 
Continuity, Compactness and Connectedness 
Mr.A.J.Shah 
III 
Uniform conversions 
Mr.A.J.Shah 
IV 
Application of Uniform conversations 
Mr.A.J.Shah 
Mathematics310 
I 
Definitions of Graph 
Mr. R.M.Shah 
II 
Matrix representation of Graph 
Mr. R.M.Shah 
III 
Trees 
Mr. R.M.Shah 
IV 
Eulers Tours , Hamiltonian Graphs 
Mr. R.M.Shah 
Mathematics311 
I 
Inventory Problems 
Mr.A.J.Shah 
II 
PERT and CPM 
Mr.A.J.Shah 
III 
Game Theory 
Mr.A.J.Shah 
IV 


