Course Description
1. Differentiation.
2. Mean value Theorem.
3. L'Hopital's Rule.
4. Inverse function theorem.
5. Integration.
6. Upper and lower integrals.
7. Riemann integrals.
8. Fundamental theorem of calculus.
9. Elementary functions.
10.Series of numbers.
11. Tests for convergence.
12. Series of functions.
13. Uniform convergence.
14. Power series and Taylor series.
Intended Learning Outcomes
CILO-1: Explain the properties of pointwise and uniform convergence, and analyze the interchange of limits.
CILO-2: Use the tests for absolute and nonabsolute convergence.
CILO-3: Explain and apply the elementary properties of improper and Lebesgue integration, and the convergence theorems.