Math 410 Syllabus, Fall 2020

The following shows what was actually covered through 14 December.
It is tentative for future dates.

Month	Date	Topic	Notes	Book	Due
		I. Real Numbers
August	31	Real Number System	1.1-1.2	A.1, 1.3
September	2	Real Number System	1.3-1.4	A.2, 1.3
	4	Real Number System	1.5-1.6	1.1-1.3	HW 1
	9	Sequences of Real Numbers	2.1-2.2	2.1
	11	Sequences of Real Numbers	2.3-2.5	2.3	HW 2
	14	Sequences of Real Numbers	2.7
	16	Sequences of Real Numbers	2.8-2.9
	18	Series of Real Numbers	3.1-3.2	9.1
	21	Series of Real Numbers	3.3-3.4
	23	Series of Real Numbers	3.5-3.7		HW 3
	25	Series of Real Numbers	3.8-3.10
	28	Series of Real Numbers	3.11		HW 4
	30	Sets of Real Numbers	4.1-4.2	2.2
October	2	Sets of Real Numbers	4.2-4.4.2	2.5	HW 5
	5	First Written Exam (Chapters 1-4)	4.4.3		Exam 1 start
	6	First Written Exam due by 4:30pm			Exam 1 end
		II. Functions and Regularity
	7	Functions, Continuity, and Limits	5.1-5.2	3.1, 3.5	HW 6
	9	Functions, Continuity, and Limits	5.3-5.4	3.2-3.3
	12	Functions, Continuity, and Limits	5.5-5.6	3.6-3.7
	14	Differentiability and Derivatives	6.1-6.3	4.1-4.2, 4.5	HW 7
	16	Differentiability and Derivatives	6.4-6.5
	19	Differentiability and Derivatives	6.6
	21	Mean-Value Theorems with Applications	7.1-7.3	4.3	HW 8
	23	Mean-Value Theorems with Applications	7.4-7.6
	26	Mean-Value Theorems with Applications	7.7	8.1-8.3
	28	Mean-Value Theorems with Applications	7.8-7.9	4.4	HW 9
	30	Cauchy Continuity and Uniform Continuity	8.1-8.2	3.4
November	2	Cauchy Continuity and Uniform Continuity	8.3-8.4	3.4
	4	Cauchy Continuity and Uniform Continuity	8.5-8.6		HW 10
	6	Second Written Exam (Chapters 5-8)			Exam 2
		III. Riemann Integrals and Integrability
	9	Riemann Integrals	9.1-9.4	6.1	HW 11
	11	Riemann Integrals	9.4-9.6	6.2
	13	Riemann Integrals	9.6-9.7	7.3, 6.3
	16	Riemann Integrable Functions	10.1-10.4	6.2-6.4	HW 12
	18	Riemann Integrable Functions	10.4-10.6	6.3-6.4
	20	Riemann Integrable Functions	10.7
	23	Relating Integration with Differentiation	11.1-11.2	6.5-6.6	HW 13
	30	Relating Integration with Differentiation	11.3-11.5	7.1-7.2
December	2	Relating Integration with Differentiation	11.6	7.1-7.2
		IV. Sequences and Series of Functions
	4	Sequences of Functions	12.1-12.2	9.2-9.4	HW 14
December	7	Sequences of Functions	12.2-12.4	9.5
	9	Series of Functions	13.1-13.2
	11	Continuous Nowhere Differentiable Functions	14.1-14.3	9.6	HW 15
	14	Weierstrass Approximation Theorem	15.1-15.3
	18	Written Final Exam (Chapters 1-13) 8:00am - 10:00pm			Final