Math 410 Lecture Notes, Fall 2017
The following are lecture notes (pdf files) that you may download
as they become available.

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

Functions and Regularity
(1 November version)
5. Functions, Continuity, and Limits
6. Differentiability and Derivatives
7. MeanValue Theorems and Their Applications
8. Cauchy Continuity and Uniform Continuity

Riemann Integrals and Integrability
(29 November version)
9. Riemann Integrals
10. Riemann Integrable Functions
11. Relating Integration with Differentiation

Uniform Convergence of Functions
(7 December version)
12. Sequences of Functions
13. Series of Functions
14. Everywhere Continuous, Nowhere Differentiable Functions
15. Weierstrass Approximation Theorem
Notes on Related Topics
The following are notes (pdf files) on related topics that you may download
as they become available.

Formulas for Roots of Polynomials
(11 October 2016 version)
1. Introduction
2. Formulas for Roots of Cubics and Quartics
3. Derivations of the Quadratic Formula
4. Derivation of the Cubic Formula
5. Derivation of the Quartic Formula