S.No

Semester

Course

Credits

CourseOutcomes

1

I

Differential&Integral Calculus

5

Gain Knowledge of fundamental concepts of real numbers.Verify the value of thelimitofafunctionat a point using the definition of the limit Introduction to sequence and series. Learn to check function is continuous understand the consequences of the intermediate value theorem for continuous.

2

II

Differential Equations

5

Student will be able to solve first order differential equations utilizing the standard techniques for separable,exact,linear,homogeneous,or Bernoulli cases.Student will be able to find the complete solution of a non homogeneous differential equation as a linear combination of the complementary function and a particular solution. Student will have a working knowledge of basic application problems described by second order linear differential equations.

3

III

Real Analysis

5

Student will be to understand differentiation and fundamental theorem in differentiation and various rules. Geometrical representation and problem solving on MVT and Rolls theorem. Finding extreme values of function .Describe fundamental properties of the real numbers that lead to the formal development of real analysis. Comprehend rigorous arguments developing the theory underpinning real analysis. Demonstrate an understanding of limits and how they are used in sequences, series, Construct rigorous mathematical proofs of

4

IV

Algebra

5

Learn to solve system of linear equation. Learn to solve Diophantine equation. Learn to find roots of polynomial over rational. Learn to find graphs, roots and primes integer using maxima software. Introduction to complex analysis. Understand the importance of algebraic properties with regard to working within various number systems.Extend group structure to finite permutation groups (Caley Hamilton Theorem).Generate groups givens pecific conditions.

5

V

Linear Algebra

5

Introduction to vector space and subspace.Use computational techniques and algebraic skills essential for the study of systems of Linear equations, matrix algebra, vector spaces, eigen values and eigen vectors,Orthogonality and Diagonalization.

6

V

General  Elective

(Mathematics for Economics and Finance)

4

Learn to solve the linear system of equations by factorisation, elimination method. We will apply logarithms & exponentials in economic problems.Students use the Cramer'srule,elimination.