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  • Applied Linear Algebra

  • Nonlinear Optimization

  • Numerical Methods

  • Vector and Complex Analysis

  • Differential Equations and Applications

  • Approximation Techniques
 

Sl. No

Topic

Lectures

1.

 Solution of Systems of Linear Equations.

1-6

2.

The Algebraic Eigenvalue Problem.

7-9

3.

Singular Value Decomposition.

10-11

4.

Vector Spaces and Function Spaces.

12-13

5.

Multivariate Calculus and Fields.

14-16

6.

Solution of Nonlinear Equations.

17-18

7.

Fundamentals of Nonlinear Optimization.

19-21

8.

Numerical Techniques.

22-25

9.

Ordinary Differential Equations.

26-30

10.

Vector ODE's and Dynamic Systems.

31-32

11.

Special Functions and Sturm-Liouville Theory.

33-35

12.

Approximation of Functions.

36-38

13.

Partial Differential Equations.

39-40

14.

Complex Analysis.

41-43

15.

Variational Calculus.

44-45
  • Exposure to undergraduate mathematics.

  • Applied Mathematical Methods by B. Dasgupta (Pearson Education).

Applied Mathematical Methods: http://home.iitk.ac.in/~dasgupta/MathBook/

  1. Advanced Engineering Mathematics by E. Kreyszig (Wiley)

  2. Scientific Comuting by M. T. Heath (McGraw-Hill)
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