Real Analysis of one variable provides a rigorous logical foundation for calculus by replacing intuitive geometric concepts with formal set-theoretic and algebraic proofs. The course focuses on the completeness of the real number system and uses the precise $\epsilon-\delta$ (epsilon-delta) definition to define limits, continuity, and differentiability. Key areas of study include the convergence of sequences and series, the Mean Value Theorem, and the formal construction of the Riemann integral, all of which aim to justify the fundamental theorems of mathematics through strict analytical reasoning.
- Lecturer: Josephine NISHIMWE