## Instructor:

## Semester:

- 2012 Autumn/Monsoon (Aug - Dec)

The course covers basics of mathematical analysis and linear algebra. No prerequisites are necessary.

**Mathematical Analysis**

Basic topology, sequence and series, continuous functions, continuity and compactness, sequence of functions. Basics in measure theory, integration and differentiation

**Linear Algebra**

Vector spaces, matrices and linear equations, linear transformations, determinants, eigenvalues and eigenvectors

**Lectures:** Roughly 24 lectures each of hour and a half duration. About 14 in analysis and 10 in linear algebra

**Evaluation:** Two exams of 30 marks each. Regular homework 40 marks

**References**

1. W. Rudin, Principles of Mathematical Analysis

2. Kolmogorov and Fomin, Introductory Real Analysis

3. Apostol, Mathematical Analysis

4. S Lang, Introduction to Linear Algebra

5. Hoffman and Kunze, Linear Algebra

6. P. R. Halmos, Finite Dimensional Vector Spaces