Duration: Full year

Number of lectures per week: 3 + tutorial

Assessment:
End-of-year Examination: A 3-hour paper.

Description:

The following topics will be covered among others:-

1. numbers and sets; the Least Upper Bound Axiom;

2. convergence of sequences;

3. limits and continuity;

4. differentiation;

5. integration;

6. analysis in the complex plane;

7. infinite series;

8. open and closed sets.

Textbooks

No text book will be followed slavishly.

For those who wish to see a text book the following may appeal (this is a highly personal matter).

1. W. Rudin Principles of Mathematical Analysis.

2. D.G. Bell An Introduction to Real Analysis.

3. M. Spivak Calculus.

Mar 3, 2006