Course Outline

Math Structure Systems Science: Analysis

The course assumes knowledge of elementary analysis (encourages self study) and focusses on somewhat advanced topics including

1)    Measure and integration theory.

2)    Classical Banach spaces including L^p spaces

3)    Hilbert spaces

4)    Contraction mapping and related topics

Lectures: Roughly 12 - 14 lectures each of hour and a half duration.

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

Grader: Anand Deo

References

1.     H. L. Royden, Real Analysis

2.     A. M. Shiryaev, Probability

3.     Kolmogorov and Fomin, Introductory Real Analysis