Math 410 Syllabus, Fall 2019

The following shows what was actually covered through 13 December.
It is tentative for future dates.

Month	Date	Topic	Notes	Book	Due
		I. Real Numbers
August	26	Real Number System	1.1-1.2	A.1, 1.3
	28	Real Number System	1.3-1.4	A.2, 1.3
	30	Real Number System	1.5-1.6	1.1-1.3
September	4	Sequences of Real Numbers	2.1-2.2	2.1	HW 1
	6	Sequences of Real Numbers	2.3-2.4	2.3
	9	Sequences of Real Numbers	2.7
	11	Sequences of Real Numbers	2.8-2.9		HW 2
	13	Series of Real Numbers	3.1-3.2	9.1
	16	Series of Real Numbers	3.3-3.4
	18	Series of Real Numbers	3.5-3.6		HW 3
	20	Series of Real Numbers	3.7-3.9
	23	Sets of Real Numbers	4.1-4.2	2.2
	25	Sets of Real Numbers	4.4	2.5	HW 4
	27	Sets of Real Numbers	4.3
		II. Functions and Regularity
	30	Functions, Continuity, and Limits	5.1-5.2	3.1, 3.5
October	2	Functions, Continuity, and Limits	5.3-5.4	3.2-3.3	HW 5
	4	In-Class Exam (Chapters 1-4)			Exam 1
	7	Functions, Continuity, and Limits	5.5-5.6	3.6-3.7
	9	Differentiability and Derivatives	6.1-6.3	4.1-4.2, 4.5	HW 6
	11	Differentiability and Derivatives	6.4-6.5
	14	Differentiability and Derivatives	6.6
	16	Mean-Value Theorems with Applications	7.1-7.3	4.3	HW 7
	18	Mean-Value Theorems with Applications	7.4-7.6
	21	Mean-Value Theorems with Applications	7.7	8.1-8.3
	23	Mean-Value Theorems with Applications	7.8-7.9	4.4	HW 8
	25	Cauchy Continuity and Uniform Continuity	8.1-8.2	3.4
	28	Cauchy Continuity and Uniform Continuity	8.3-8.4	3.4
	30	Cauchy Continuity and Uniform Continuity	8.5-8.6		HW 9
November	1	In-Class Exam (Chapters 5-8)			Exam 2
		III. Riemann Integrals and Integrability
	4	Riemann Integrals	9.1-9.4	6.1	HW 10
	6	Riemann Integrals	9.4-9.6	6.2
	8	Riemann Integrals	9.6-9.7	7.3, 6.3
	11	Riemann Integrable Functions	10.1-10.4	6.2-6.4	HW 11
	13	Riemann Integrable Functions	10.5-10.6	6.3-6.4
	15	Riemann Integrable Functions	10.7
	18	Relating Integration with Differentiation	11.1-11.2	6.5-6.6	HW 12
	20	Relating Integration with Differentiation	11.3-11.5	7.1-7.2
	22	Relating Integration with Differentiation	11.6	7.1-7.2
		IV. Sequences and Series of Functions
	25	Sequences of Functions	12.1-12.2	9.2-9.4	HW 13
December	2	Sequences of Functions	12.2-12.4	9.5
	4	Series of Functions	13.1-13.2
	6	Continuous Nowhere Differentiable Functions	14.1-14.3	9.6	HW 14
	9	Weierstrass Approximation Theorem	15.1-15.3
	13	Final Exam (Chapters 1-13) 8:00am - 10:00pm in MTH 0101			Final HW 15