Mathematical Structures for Systems Science

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