Math 410 Syllabus, Fall 2017

Month	Date	Topic	Notes	Book
		Real Numbers
August	29	Real Number System	1.1-1.3	A.1
	31	Real Number System	1.4-1.5	A.2, 1.1-1.3
September	5	Sequences of Real Numbers	1.6, 2.1-2.3	2.1-2.2
	7	Sequences of Real Numbers	2.4-2.7	2.3-2.4
	12	Series of Real Numbers	2.8, 3.1-3.2	9.1
	14	Series of Real Numbers	3.3-3.6
	19	Series of Real Numbers	3.7-3.8, 3.10
	21	Sets of Real Numbers	3.10, 4.1-4.2.2	2.5
	26	Sets of Real Numbers	4.2.3-4.4
	28	In-Class Exam
		Functions and Regularity
October	3	Functions, Continuity, and Limits	5.1-5.3	3.1-3.3, 3.5
	5	Functions, Continuity, and Limits	5.4-5.6	3.6, 3.7
	10	Differentiability and Derivatives	6.1-6.3	4.1-4.2, 4.5
	12	Differentiability and Derivatives	6.4-6.6
	17	Mean-Value Theorems and Their Applications	6.6, 7.1-7.4	4.3
	19	Mean-Value Theorems and Their Applications	7.5-7.7	8.1-8.3
	24	Mean-Value Theorems and Their Applications	7.7-7.9	4.4
	26	Cauchy Continuity and Uniform Continuity	8.1-8.3	3.4
	31	Cauchy Continuity and Uniform Continuity	8.3-8.6
November	2	In-Class Exam
		Riemann Integrals and Integrability
	7	Riemann Integrals	9.1-9.4	6.1-6.2
	9	Riemann Integrals	9.4-9.7	7.3, 6.3
	14	Riemann Integrable Functions	10.1-10.4	6.3-6.4
	16	Riemann Integrable Functions	10.5-10.7
	21	Relating Integration with Differentiation	11.1-11.2	6.5-6.6
	28	Relating Integration with Differentiation	11.3-11.6	7.1-7.2
		Sequences and Series of Functions
	30	Sequences of Functions	12.1-12.2	9.2-9.4
December	5	Series of Functions	12.3-12.4, 13.1	9.5
	7	Continuous Nowehere Differentiable Functions	13.2, 14.1-14.2	9.6
	14	Final Exam, 8:00am - 10:00pm in MTH 0101