Syllabus, Math 2020, Winter 2004

Schedule and assignments
Math 2020, Winter 2004

Mon Jan 12 Sect. 5.2 The integral Exer. 1, 6, 7, 17, 33-36, 42-45, 47-49.

Tue Jan 13 Sect. 5.3 Fundamental Theorem of Calculus Exer. 2, 5, 7, 11, 19-42 (esp. 29, 32, 40-42), 47, 48, 49, 50, 54, 55,

Wed Jan 14 Sect. 5.5 Substitution Exer. 2, 4, 5, 8, 9, 11, 12, 16, 19, 21, 23, 25, 27, 31, 32, 36, 41, 42, 49, 52, 58, 79.

Fri Jan 16 (cont.)

Mon Jan 19 No class Martin Luther King Day

Tue Jan 20 Sect. 6.2 Volumes Exer. 1-5, 9, 11, 14, 34, 48, 49, 51, 57, and optionally, 45, 61, 63, 64, 65.

Wed Jan 21 (cont)

Fri Jan 23 (cont)

Mon Jan 26 Sect. 6.4 Work Exer. 1, 2, 7, 9, 13, 14, 15.

Tue Jan 27 Sect. 6.5 Averages Exer. 1-4, 9, 10, 13, 14, 19, 20.

Wed Jan 28 Review

Fri Jan 30 Test 1

Mon Feb 2 Sect. 7.1 Integration by parts Exer 3-9, 12, 13, 21, 23, 29, 30.

Tues Feb 3 (cont.)

Wed Feb 4 Sect. 7.2 Trigonometric integrals Exer. 1, 2, 4, 6-8, 11, 12, 15, 19, 20, 23, 24.

Fri Feb 6 (cont.)

Mon Feb 9 Sick day

Tue Feb 10 Sect. 7.3 Trigonometric substitution Exer 1, 2, 3, 7, 9, 11, 17, 19.

Wed Feb 11 Sect. 7.4 Rational Functions Exer 1, 2, 5, 6-9, 23, 24, 29, 31, 35, 39, 41, 48.

Fri Feb 13 Sect. 7.8 Improper Integrals Exer 2, 5-10, 15, 49-51.

Mon Feb 16 Sect. 8.3 Moments and centroids Exer. 23-34.

Tue Feb 17 (cont.)

Wed Feb 18 Review

Fri Feb 20 Test 2

Mon Feb 23 Sect. 10.1 Parametric curves Exer. 1, 2, 5, 7-10, 12, 13, 15, 18, 24, 28. Optional: 46, 47.

Tue Feb 24 Sect. 10.2 Calculus of curves Exer. 1, 2, 3, 6, 7, 9, 11, 13, 19, 25, 31, 37, 38, 41, 59, 60, 65.

Wed Feb 25 (cont.)

Fri Feb 27 Sect. 10.3 Polar Coordinates Exer. 1-8, 15-18, 21-24, 26, 29, 30, 31, 33, 41, 43, 51, 55, 57, 59, 67.

Mon Mar 1 Sect. 10.4 Area in polar Exer. #1, 3, 6, 7, 9, 11, 12, 19, 23, 27, 29, 37, 39.

Tue Mar 2 (cont.)

Wed Mar 3 (cont.)

Fri Mar 5 Sect. 3.11 Linear approximations Exer. 5, 7, 11, 13, 15, 17, 19, 21, 23, 24, 31, 34, 36, 41, 43,

Mon Mar 8 Sect. 4.9 Newton's Method Exer. 5-8, 11, 12, 13, 17, 31, 34, 38.
Tue Mar 9 (cont.)

Wed Mar 10 Review

Fri Mar 12 Test 3

Mar 15 - 19 Spring Break

Mon Mar 22 Sect. 11.1 Sequences Exer. 1, 3, 4, 5, 7-11, 15-17, 19, 23, 24, 27, 37, 43, 44, 46, 61, 62.

Tue Mar 23 (cont.)

Wed Mar 24 (cont.)

Fri Mar 26 Sect. 11.2 Series Exer. 1, 2, 12, 14, 15-29 odd, 36, 37, 41, 45, 51, 53, 57,
and optional: 58, 60, 62, 64, 68.

Mon Mar 29 Sect. 11.3 Integral test Exer. 2-7, 12, 15, 17, 19, 21, 24, 29, 32.

Tue Mar 30 Sect. 11.4 Comparison tests Exer. 1, 2, 3-11 odd, 15-23 odd, 37, and optional: 39, 43, 46.

Wed Mar 31 Sect. 11.5 Alternating series Exer. 1-19 odd, 23-29 odd, 35.

Fri Apr 2 Sect. 11.6 Absolute convergence Exer. 3-23 odd, 27, 29, 33.

Mon Apr 5 Sect. 11.7 Root and ratio tests Exer. 1-37 odd.

Tue Apr 6 Sect. 11.8 Power series Exer. 3, 5, 7, 13, 15, 19, 23, 25, 28, 29, 37, 40.

Wed Apr 7 Sect. 11.9 Power series as functions Exer. 5-15 odd, 23, 25.

Fri Apr 9 (cont.)

Mon Apr 12 Sect. 11.10 Taylor series Exer. 1-9, 11-13, 23-27 odd, 31, 39, 40, 43, 45, 47-50. 55-60.

Tue Apr 13 (cont.)

Wed Apr 14 Sect. 11.11 Binomial Theorem

Fri Apr 16 (cont.)

Mon Apr 19 App. G Complex numbers Exer. 1 - 46 (all week).

Tue Apr 20 (cont.) Complex exponentials

Wed Apr 21 (cont.)

Fri Apr 23 (cont.)

Mon Apr 26 Test 4

Classes end

Tue, May 4 FINAL EXAM (Comprehensive) 8:00 - 10:30, in 48 Education.

Class syllabus


Mon Jan 12	Sect. 5.2	The integral	Exer. 1, 6, 7, 17, 33-36, 42-45, 47-49.
Tue Jan 13	Sect. 5.3	Fundamental Theorem of Calculus	Exer. 2, 5, 7, 11, 19-42 (esp. 29, 32, 40-42), 47, 48, 49, 50, 54, 55,
Wed Jan 14	Sect. 5.5	Substitution	Exer. 2, 4, 5, 8, 9, 11, 12, 16, 19, 21, 23, 25, 27, 31, 32, 36, 41, 42, 49, 52, 58, 79.
Fri Jan 16	(cont.)

Mon Jan 19		No class	Martin Luther King Day
Tue Jan 20	Sect. 6.2	Volumes	Exer. 1-5, 9, 11, 14, 34, 48, 49, 51, 57, and optionally, 45, 61, 63, 64, 65.
Wed Jan 21	(cont)
Fri Jan 23	(cont)

Mon Jan 26	Sect. 6.4	Work	Exer. 1, 2, 7, 9, 13, 14, 15.
Tue Jan 27	Sect. 6.5	Averages	Exer. 1-4, 9, 10, 13, 14, 19, 20.
Wed Jan 28	Review
Fri Jan 30	Test 1

Mon Feb 2	Sect. 7.1	Integration by parts	Exer 3-9, 12, 13, 21, 23, 29, 30.
Tues Feb 3	(cont.)
Wed Feb 4	Sect. 7.2	Trigonometric integrals	Exer. 1, 2, 4, 6-8, 11, 12, 15, 19, 20, 23, 24.
Fri Feb 6	(cont.)

Mon Feb 9	Sick day
Tue Feb 10	Sect. 7.3	Trigonometric substitution	Exer 1, 2, 3, 7, 9, 11, 17, 19.
Wed Feb 11	Sect. 7.4	Rational Functions	Exer 1, 2, 5, 6-9, 23, 24, 29, 31, 35, 39, 41, 48.
Fri Feb 13	Sect. 7.8	Improper Integrals	Exer 2, 5-10, 15, 49-51.

Mon Feb 16	Sect. 8.3	Moments and centroids	Exer. 23-34.
Tue Feb 17	(cont.)
Wed Feb 18	Review
Fri Feb 20	Test 2

Mon Feb 23	Sect. 10.1	Parametric curves	Exer. 1, 2, 5, 7-10, 12, 13, 15, 18, 24, 28. Optional: 46, 47.
Tue Feb 24	Sect. 10.2	Calculus of curves	Exer. 1, 2, 3, 6, 7, 9, 11, 13, 19, 25, 31, 37, 38, 41, 59, 60, 65.
Wed Feb 25	(cont.)
Fri Feb 27	Sect. 10.3	Polar Coordinates	Exer. 1-8, 15-18, 21-24, 26, 29, 30, 31, 33, 41, 43, 51, 55, 57, 59, 67.

Mon Mar 1	Sect. 10.4	Area in polar	Exer. #1, 3, 6, 7, 9, 11, 12, 19, 23, 27, 29, 37, 39.
Tue Mar 2	(cont.)
Wed Mar 3	(cont.)
Fri Mar 5	Sect. 3.11	Linear approximations	Exer. 5, 7, 11, 13, 15, 17, 19, 21, 23, 24, 31, 34, 36, 41, 43,

Mon Mar 8	Sect. 4.9	Newton's Method	Exer. 5-8, 11, 12, 13, 17, 31, 34, 38.
Tue Mar 9	(cont.)
Wed Mar 10	Review
Fri Mar 12	Test 3

Mar 15 - 19		Spring Break

Mon Mar 22	Sect. 11.1	Sequences	Exer. 1, 3, 4, 5, 7-11, 15-17, 19, 23, 24, 27, 37, 43, 44, 46, 61, 62.
Tue Mar 23	(cont.)
Wed Mar 24	(cont.)
Fri Mar 26	Sect. 11.2	Series	Exer. 1, 2, 12, 14, 15-29 odd, 36, 37, 41, 45, 51, 53, 57, and optional: 58, 60, 62, 64, 68.

Mon Mar 29	Sect. 11.3	Integral test	Exer. 2-7, 12, 15, 17, 19, 21, 24, 29, 32.
Tue Mar 30	Sect. 11.4	Comparison tests	Exer. 1, 2, 3-11 odd, 15-23 odd, 37, and optional: 39, 43, 46.
Wed Mar 31	Sect. 11.5	Alternating series	Exer. 1-19 odd, 23-29 odd, 35.
Fri Apr 2	Sect. 11.6	Absolute convergence	Exer. 3-23 odd, 27, 29, 33.

Mon Apr 5	Sect. 11.7	Root and ratio tests	Exer. 1-37 odd.
Tue Apr 6	Sect. 11.8	Power series	Exer. 3, 5, 7, 13, 15, 19, 23, 25, 28, 29, 37, 40.
Wed Apr 7	Sect. 11.9	Power series as functions	Exer. 5-15 odd, 23, 25.
Fri Apr 9	(cont.)

Mon Apr 12	Sect. 11.10	Taylor series	Exer. 1-9, 11-13, 23-27 odd, 31, 39, 40, 43, 45, 47-50. 55-60.
Tue Apr 13	(cont.)
Wed Apr 14	Sect. 11.11	Binomial Theorem
Fri Apr 16	(cont.)

Mon Apr 19	App. G	Complex numbers	Exer. 1 - 46 (all week).
Tue Apr 20	(cont.)	Complex exponentials
Wed Apr 21	(cont.)
Fri Apr 23	(cont.)

Mon Apr 26	Test 4

Classes end

Tue, May 4	FINAL EXAM	(Comprehensive)	8:00 - 10:30, in 48 Education.