Course syllabus:
1. The set of real numbers
2. Convergent sequences
3. Continuous functions
4. Riemann integrals
5. Sequences and series of functions

Objectives:
This course aims at a rigorous treatment of calculus. After the course, the students should be familiar with concepts of mathematical analysis such as epsilon-delta arguments, continuity, Riemann sums and Darboux sums, uniform continuity and uniform convergence.