Math 410 Syllabus, Fall 2015

Month	Date	Topic	Notes	Book
		Real Numbers
September	1	Real Number System	1.1-1.3	A.1
	3	Real Number System	1.4-1.6	A.2, 1.1-1.3
	8	Sequences of Real Numbers	2.1-2.3	2.1-2.2
	10	Sequences of Real Numbers	2.4-2.7	2.3-2.4
	15	Series of Real Numbers	2.8, 3.1-3.2	9.1
	17	Series of Real Numbers	3.3-3.6
	22	Series of Real Numbers	3.7-3.8, 3.10
	24	Sets of Real Numbers	4.1-4.3	2.5
	29	Sets of Real Numbers	4.4
October	1	In-Class Exam
		Functions and Regularity
	6	Functions, Continuity, and Limits	5.1-5.4	3.1-3.3, 3.5
	8	Functions, Continuity, and Limits	5.5-5.6	3.6, 3.7
	13	Differentiability and Derivatives	5.6, 6.1-6.4	4.1-4.2, 4.5
	15	Differentiability and Derivatives	6.4-6.6
	20	Mean-Value Theorems and Their Applications	7.1-7.5	4.3
	22	Mean-Value Theorems and Their Applications	7.5-7.7	8.1-8.3
	27	Mean-Value Theorems and Their Applications	7.8-7.9	4.4
	29	Cauchy Continuity and Uniform Continuity	8.1-8.3	3.4
November	3	Cauchy Continuity and Uniform Continuity	8.4-8.5
	5	In-Class Exam
		Riemann Integrals and Integrability
	10	Riemann Integrals	9.1-9.4	6.1-6.2
	12	Riemann Integrals	9.5-9.7	7.3, 6.3
	17	Riemann Integrable Functions	10.1-10.4	6.3-6.4
	19	Riemann Integrable Functions	10.5-10.7
	24	Relating Integration with Differentiation	11.1-11.3	6.5-6.6
December	1	Relating Integration with Differentiation	11.4-11.6	7.1-7.2
		Sequences and Series of Functions
	3	Sequences of Functions	12.1-12.3	9.2-9.4
	8	Series of Functions	12.4, 13.1-13.2	9.5
	10	Continuous Nowehere Differentiable Functions	14.1-14.2	9.6
	15	Final Exam, 8:00am - 10:00pm in MTH 0104