Syllabus, Math 2030, Winter 2004

Schedule and assignments
Vector Calculus, Math 2030, Winter 2004

Mon Jan 12 Sect 12.1 Coordinates Exer. 3, 4, 6, 7, 9, 10, 11, 15, 16, 19, 20, 27, 32-34.

Sect 12.2 Vectors Exer. 4, 5, 6, 13, 15, 17, 24, 26, 27, 28, 29, 34, 41, 42.

Tue Jan 13 Sect 12.3 Dot product Exer. 1-10, 15, 18, 20, 21, 24, 26, 29, 31, 39, 41, 43, 45, 47, 53, 54, 55, 57, 58.

Wed Jan 14 Sect 12.4 Cross product Exer. 1-9, 13, 14, 15, 23, 26, 38, 39, 41, 45.

Fri Jan 16 (cont.)

Mon Jan 19 No class Martin Luther King Day

Tue Jan 20 Sect 12.5 Lines and Planes Exer. 1-5, 11, 12, 14, 15, 19, 20, 22, 26, 35, 36, 41, 42, 47, 51, 53, 61, 63, 68.

Wed Jan 21 (cont.)

Fri Jan 23 (cont.)

Mon Jan 26 (cont.)

Tue Jan 27 (cont.)

Wed Jan 28 (cont.)

Fri Jan 30 Sect 12.6 Quadric surfaces Exer. 2, 8, 9, 10, 12, 30, 32, 42, 43, and optionally 47.

Mon Feb 2 Sect 12.7 Cylindrical and spherical
coordinates Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 60.

Tues Feb 3 Sect 13.1 Vector functions Exer. 3, 4, 7-12, 13, 15, 16, 21, 22, 30, 32.

Wed Feb 4 Sect 13.2 Their derivatives Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.

Fri Feb 6 (cont)

Mon Feb 9 Sect 13.3 Arc length and curvature Exer. 1-3, 7-10, 11, 12, 15, 17, 21, 23, 24-27.

Tue Feb 10 (cont)

Wed Feb 11 Sect 13.4 Velocity and acceleration Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.

Fri Feb 13 Review

Mon Feb 16 Test 1

Tue Feb 17 Sect 14.1 Functions of many variables Exer. 2, 3, 6, 7, 8, 11, 12, 15, 22-26, 29, 30,
31, 32, 35, 37, 39, 41, 43, 51-56.

Wed Feb 18 Sect 14.2 Limits and continuity Exer. 1, 6-8, 11, 12, 20, 27, 35-39.

Fri Feb 20 Sect 14.3 Partial derivatives Exer. 11-19, 39, 42-45, 47, 51, 64, 65, 66a,b, 67, 68a, 69, 75, 79, 81.

Mon Feb 23 Sect 14.4 Tangent planes Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.

Tue Feb 24 Sect 14.5 Chain rule Exer. 1-3, 5, 7, 8, 11, 13, 15, 16, 20, 25, 28, 29, 30, 34, 36, 38, 41, 43, 48.

Wed Feb 25 Sect 14.6 Directional derivatives Exer. 3, 4, 6, 7, 9, 12, 14, 15, 20, 21, 24, 27, 37, 39, 41, 45, 47, 57, 61.

Fri Feb 27 Sect 14.6 (cont.)

Mon Mar 1 Sect. 14.7 Maxima and Minima Exer. 1, 3-6, 8, 13, 16, 18, 19, 20, 27, 28.

Tue Mar 2 Sect. 14.7 (cont.) Exer. 31-33, 39, 40, 45, 46, 50,
and especially 51 (easy but important).
Wed Mar 3 Review
Fri Mar 5 Test 2

Mon Mar 8 Sect. 14.8 Lagrange Multipliers Exer. 3, 5, 7, 9, 15, 19, 39.

Tue Mar 9 (cont.)

Wed Mar 10 Sect. 15.1 Multivariable integration Exer. 11, 12, 13, 18.

Fri Mar 12 Test review

Mar 15 - 19 Spring Break

Mon Mar 22 Sect. 15.2 Iterated integrals Exer. 1-4, 8, 12, 18, 20, 23, 29.

Tue Mar 23 Sect. 15.3 General regions Exer. 1-3, 8, 11, 12, 14, 15, 21, 23, 25, 33-41 odd, 50.

Wed Mar 24 Sect. 15.9 Change of Coordinates Exer. 1-5, 7-15.

Fri Mar 26 Sect. 15.4 Polar Coordinates Exer. 1-7, 9, 11, 12, 15, 16, 18, 19, 20, 23, 26, 27, 29, 31, 33,
and optional: 34.

Mon Mar 29 (cont.)

Tue Mar 30 Sect. 15.5 Centroids and moments Exer. 3, 5, 7, 9, 15, 17.

Wed Mar 31 Sect. 15.7 Triple integrals Exer. 3-17 odd, 25-29 odd, 41, 42.

Fri Apr 2 Sect. 15.8 Cylindrical and spherical Exer. 1-5, 7-29 odd, 33, 35.

Mon Apr 5 (cont.)

Tue Apr 6 Review and summary

Wed Apr 7 Test 3

Fri Apr 9 Sect. 16.1 Vector Fields Exer. 1-3, 11-18, 21, 23, 25, 29-32.

Mon Apr 12 Sect. 16.2 Line integrals Exer. 1, 2, 3, 7, 9, 11, 17, 19, 21, 23, 31, 33, 37, 39, 41.

Tue Apr 13 Sect. 16.3 Fund. Thm for Line integrals Exer. 1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 33.

Wed Apr 14 Sect. 16.4 Green's Theorem Exer. 1, 7, 11, 12, 13, 16, 17, 19, 21.

Fri Apr 16 Sect. 16.5 Grad, curl and div Exer. 1, 3, 4, 6, 9-13, 15, 19, 21, 22, 30, 31.
Optional: 35. Read 23-27.

Mon Apr 19 Sect. 16.6 Parameterized surfaces Exer. 3, 4, 17, 19, 21, 23, 29-32, 33, 35, 37.

Tue Apr 20 Sect. 16.7 Surface Integrals Exer. 5, 7, 19, 23, 25.

Wed Apr 21 Sect. 16.8 Stoke's Theorem Exer. 1, 2, 5, 7, 13, 17.

Fri Apr 23 Sect. 16.9 Gauss' Theorem Exer. 1, 2, 5, 7, 9, 13.

Mon Apr 26 Review

Classes end

Fri Apr 30 FINAL EXAM (Comprehensive) 8:00 - 10:30, in 171 Education.

Class syllabus


Mon Jan 12	Sect 12.1	Coordinates	Exer. 3, 4, 6, 7, 9, 10, 11, 15, 16, 19, 20, 27, 32-34.
	Sect 12.2	Vectors	Exer. 4, 5, 6, 13, 15, 17, 24, 26, 27, 28, 29, 34, 41, 42.
Tue Jan 13	Sect 12.3	Dot product	Exer. 1-10, 15, 18, 20, 21, 24, 26, 29, 31, 39, 41, 43, 45, 47, 53, 54, 55, 57, 58.
Wed Jan 14	Sect 12.4	Cross product	Exer. 1-9, 13, 14, 15, 23, 26, 38, 39, 41, 45.
Fri Jan 16	(cont.)

Mon Jan 19		No class	Martin Luther King Day
Tue Jan 20	Sect 12.5	Lines and Planes	Exer. 1-5, 11, 12, 14, 15, 19, 20, 22, 26, 35, 36, 41, 42, 47, 51, 53, 61, 63, 68.
Wed Jan 21	(cont.)
Fri Jan 23	(cont.)

Mon Jan 26	(cont.)
Tue Jan 27	(cont.)
Wed Jan 28	(cont.)
Fri Jan 30	Sect 12.6	Quadric surfaces	Exer. 2, 8, 9, 10, 12, 30, 32, 42, 43, and optionally 47.

Mon Feb 2	Sect 12.7	Cylindrical and spherical coordinates	Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 60.
Tues Feb 3	Sect 13.1	Vector functions	Exer. 3, 4, 7-12, 13, 15, 16, 21, 22, 30, 32.
Wed Feb 4	Sect 13.2	Their derivatives	Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.
Fri Feb 6	(cont)

Mon Feb 9	Sect 13.3	Arc length and curvature	Exer. 1-3, 7-10, 11, 12, 15, 17, 21, 23, 24-27.
Tue Feb 10	(cont)
Wed Feb 11	Sect 13.4	Velocity and acceleration	Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.
Fri Feb 13	Review

Mon Feb 16	Test 1
Tue Feb 17	Sect 14.1	Functions of many variables	Exer. 2, 3, 6, 7, 8, 11, 12, 15, 22-26, 29, 30, 31, 32, 35, 37, 39, 41, 43, 51-56.
Wed Feb 18	Sect 14.2	Limits and continuity	Exer. 1, 6-8, 11, 12, 20, 27, 35-39.
Fri Feb 20	Sect 14.3	Partial derivatives	Exer. 11-19, 39, 42-45, 47, 51, 64, 65, 66a,b, 67, 68a, 69, 75, 79, 81.

Mon Feb 23	Sect 14.4	Tangent planes	Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.
Tue Feb 24	Sect 14.5	Chain rule	Exer. 1-3, 5, 7, 8, 11, 13, 15, 16, 20, 25, 28, 29, 30, 34, 36, 38, 41, 43, 48.
Wed Feb 25	Sect 14.6	Directional derivatives	Exer. 3, 4, 6, 7, 9, 12, 14, 15, 20, 21, 24, 27, 37, 39, 41, 45, 47, 57, 61.
Fri Feb 27	Sect 14.6	(cont.)

Mon Mar 1	Sect. 14.7	Maxima and Minima	Exer. 1, 3-6, 8, 13, 16, 18, 19, 20, 27, 28.
Tue Mar 2	Sect. 14.7	(cont.)	Exer. 31-33, 39, 40, 45, 46, 50, and especially 51 (easy but important).
Wed Mar 3	Review
Fri Mar 5	Test 2

Mon Mar 8	Sect. 14.8	Lagrange Multipliers	Exer. 3, 5, 7, 9, 15, 19, 39.
Tue Mar 9	(cont.)
Wed Mar 10	Sect. 15.1	Multivariable integration	Exer. 11, 12, 13, 18.
Fri Mar 12		Test review

Mar 15 - 19		Spring Break

Mon Mar 22	Sect. 15.2	Iterated integrals	Exer. 1-4, 8, 12, 18, 20, 23, 29.
Tue Mar 23	Sect. 15.3	General regions	Exer. 1-3, 8, 11, 12, 14, 15, 21, 23, 25, 33-41 odd, 50.
Wed Mar 24	Sect. 15.9	Change of Coordinates	Exer. 1-5, 7-15.
Fri Mar 26	Sect. 15.4	Polar Coordinates	Exer. 1-7, 9, 11, 12, 15, 16, 18, 19, 20, 23, 26, 27, 29, 31, 33, and optional: 34.

Mon Mar 29	(cont.)
Tue Mar 30	Sect. 15.5	Centroids and moments	Exer. 3, 5, 7, 9, 15, 17.
Wed Mar 31	Sect. 15.7	Triple integrals	Exer. 3-17 odd, 25-29 odd, 41, 42.
Fri Apr 2	Sect. 15.8	Cylindrical and spherical	Exer. 1-5, 7-29 odd, 33, 35.

Mon Apr 5	(cont.)
Tue Apr 6	Review and summary
Wed Apr 7	Test 3
Fri Apr 9	Sect. 16.1	Vector Fields	Exer. 1-3, 11-18, 21, 23, 25, 29-32.

Mon Apr 12	Sect. 16.2	Line integrals	Exer. 1, 2, 3, 7, 9, 11, 17, 19, 21, 23, 31, 33, 37, 39, 41.
Tue Apr 13	Sect. 16.3	Fund. Thm for Line integrals	Exer. 1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 33.
Wed Apr 14	Sect. 16.4	Green's Theorem	Exer. 1, 7, 11, 12, 13, 16, 17, 19, 21.
Fri Apr 16	Sect. 16.5	Grad, curl and div	Exer. 1, 3, 4, 6, 9-13, 15, 19, 21, 22, 30, 31. Optional: 35. Read 23-27.

Mon Apr 19	Sect. 16.6	Parameterized surfaces	Exer. 3, 4, 17, 19, 21, 23, 29-32, 33, 35, 37.
Tue Apr 20	Sect. 16.7	Surface Integrals	Exer. 5, 7, 19, 23, 25.
Wed Apr 21	Sect. 16.8	Stoke's Theorem	Exer. 1, 2, 5, 7, 13, 17.
Fri Apr 23	Sect. 16.9	Gauss' Theorem	Exer. 1, 2, 5, 7, 9, 13.

Mon Apr 26		Review

Classes end

Fri Apr 30	FINAL EXAM	(Comprehensive)	8:00 - 10:30, in 171 Education.