Math 410 Lecture Notes, Fall 2015

You may download lecture notes (pdf files) below as they become available.

• Real Numbers (7 October version)
  
  1. Real Number System
  2. Sequences of Real Numbers
  3. Series of Real Numbers
  4. Sets of Real Numbers
  

• Functions and Regularity (11 October version)
  
  5. Functions, Continuity, and Limits
  6. Differentiability and Derivatives
  7. Mean-Value Theorems and Their Applications
  8. Cauchy Continuity and Uniform Continuity
  

• Riemann Integrals and Integrability (6 December version)
  
  9. Riemann Integrals
  10. Riemann Integrable Functions
  11. Relating Integration with Differentiation
  

• Uniform Convergence of Functions (11 December)
  
  12. Sequences of Functions
  13. Series of Functions
  14. Everywhere Continuous, Nowhere Differentiable Functions