Syllabus, Math 2030, Winter 2002

Schedule and assignments
Vector Calculus, Math 2030, Winter 2002

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

Tue Jan 8 Sect 12.2 Vectors Exer. 4, 5, 6, 13, 15, 17, 24, 26, 27, 28, 29, 34, 41, 42.

Wed Jan 9 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.

Fri Jan 11 Sect 12.4 Cross product Exer. 1-9, 13, 14, 15, 23, 26, 38, 39, 41, 45.

Mon Jan 14

Tue Jan 15

Wed Jan 16 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.

Fri Jan 18

Mon Jan 21 no class Martin Luther King Day

Tue Jan 22

Wed Jan 23

Fri Jan 25 Sect 12.6 Quadric surfaces Exer. 2, 8, 9, 10, 12, 30, 32, 42, 43, and optionally 47.

Mon Jan 28 Sect 13.1 Vector functions Exer. 3, 4, 7-12, 13, 15, 16, 21, 22, 30, 32.

Tues Jan 29 Sect 13.2 Their derivatives Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.

Wed Jan 30 Sect 13.3 Arc length and curvature Exer. 1-3, 7-10, 11, 12, 15, 17, 21, 23, 24-27.

Fri Feb 1 Sect 13.4 Velocity and acceleration Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.

Mon Feb 4

Tue Feb 5 Review

Wed Feb 6 Test 1

Fri Feb 8 Sect 12.7 Cylindrical and spherical
coordinates Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 60.

Mon Feb 11 Sect 14.1 Functions of many variables Exer. 2, 3, 6, 7, 8, 11, 12, 15, 22-26, 29, 30.

Tue Feb 12 Sect 14.1 (cont.) Exer. 31, 32, 35, 37, 39, 41, 43, 51-56.

Wed Feb 13 Sect 14.2 Limits and continuity Exer. 1, 6-8, 11, 12, 20, 27, 35-39.

Fri Feb 15

Mon Feb 18 Sect 14.3 Partial derivatives Exer. 11-19, 39, 42-45, 47, 51, 64, 65, 66a,b, 67, 68a, 69, 75, 79, 81.

Tue Feb 19 Sect 14.3 (cont.)

Wed Feb 20 Sect 14.4 Tangent planes Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.

Fri Feb 22 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.

Mon 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.

Tue Feb 26 Sect 14.6 (cont.)

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

Fri Mar 1 Sect. 14.7 (cont.) Exer. 31-33, 39, 40, 45, 46, 50,
and especially 51 (easy but important).

Mon Mar 4 Review

Tue Mar 5 Review

Wed Mar 6

Fri Mar 8 Test 2

Mar 11 - 16 Spring Break

Mon Mar 18 Sect 15.1 Multiple integration Exer. 1, 2, 6, 11-13, 17, 18.

Tue Mar 19 Sect 15.2 (cont.) Exer. 1, 3-6, 11, 13, 14, 19, 20, 28, 36b.

Wed Mar 20 Sect 15.3 (cont.) Exer. 2, 3, 5, 6, 8-11, 14, 15, 17, 19, 20, 21, 23, 28, 33-44, 50.

Fri Mar 22 Sect 15.4 Polar Coordinates Exer. 1-6, 8, 11, 12, 15-17, 20, 23, 26-28.

Mon Mar 25 Sect 15.9 General Coordinates Exer. 1, 3, 5, 7, 8, 9, 12.

Tue Mar 26 (cont.)

Wed Mar 27 Sect 15.5 Applications Exer. 3, 5, 7-11, 22.

Fri Mar 29 (cont.)

Mon Apr 1 Review

Tue Apr 2 Sect 15.6 Surface Area Exer. 2, 3, 6, 7, 9, 10.

Wed Apr 3 Sect. 15.7 Triple Integrals Exer. 3, 5, 7, 9, 10, 11, 14, 18, 20, 23.

Fri Apr 5 Sect 15.8 Cyl. and Spher. Coordinates Exer. 2-6, 13, 14, 18, 21, 23, 25, 29, 30.

Mon Apr 8 Review

Tue Apr 9 Test 3

Wed Apr 10 Sect 16.1 Vector Fields Exer. 2, 3, 5-7, 11-18, 21, 23, 29-32.

Fri Apr 12 Sect 16.2 Line integrals Exer. 1-3, 7, 10, 14, 17, 21-23, 31, 35.

Mon Apr 15 Sect 16.3 Fundamental Theorem Exer. 1-6, 11-13, 16, 19, 21, 26, 28.

Tue Apr 16 Sect 16.4 Green's Theorem Exer. 2, 3, 7-9, 11, 14, 19, 20, especially 21, 22.

Wed Apr 17 Sect 16.5 Div and Curl Exer. 1, 4, 6, 7, 9-14, 18, 20, 30, 31.

Fri Apr 19 Sect 16.6 Parameterized surfaces Exer. 1, 11-19, 23, 34, 35.

Mon Apr 22 Sect 16.7 Surface integrals Exer. 4, 5, 6, 8, 13, 19, 22, 23, 35, 38, 40.

Classes end

Fri Apr 26 FINAL EXAM (Comprehensive) 8:00 - 10:30, in 171 Education.


Mon Jan 7	Sect 12.1	Coordinates	Exer. 3, 4, 6, 7, 9, 10, 11, 15, 16, 19, 20, 27, 32-34.
Tue Jan 8	Sect 12.2	Vectors	Exer. 4, 5, 6, 13, 15, 17, 24, 26, 27, 28, 29, 34, 41, 42.
Wed Jan 9	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.
Fri Jan 11	Sect 12.4	Cross product	Exer. 1-9, 13, 14, 15, 23, 26, 38, 39, 41, 45.

Mon Jan 14
Tue Jan 15
Wed Jan 16	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.
Fri Jan 18

Mon Jan 21	no class		Martin Luther King Day
Tue Jan 22
Wed Jan 23
Fri Jan 25	Sect 12.6	Quadric surfaces	Exer. 2, 8, 9, 10, 12, 30, 32, 42, 43, and optionally 47.

Mon Jan 28	Sect 13.1	Vector functions	Exer. 3, 4, 7-12, 13, 15, 16, 21, 22, 30, 32.
Tues Jan 29	Sect 13.2	Their derivatives	Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.
Wed Jan 30	Sect 13.3	Arc length and curvature	Exer. 1-3, 7-10, 11, 12, 15, 17, 21, 23, 24-27.
Fri Feb 1	Sect 13.4	Velocity and acceleration	Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.

Mon Feb 4
Tue Feb 5	Review
Wed Feb 6	Test 1
Fri Feb 8	Sect 12.7	Cylindrical and spherical coordinates	Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 60.

Mon Feb 11	Sect 14.1	Functions of many variables	Exer. 2, 3, 6, 7, 8, 11, 12, 15, 22-26, 29, 30.
Tue Feb 12	Sect 14.1	(cont.)	Exer. 31, 32, 35, 37, 39, 41, 43, 51-56.
Wed Feb 13	Sect 14.2	Limits and continuity	Exer. 1, 6-8, 11, 12, 20, 27, 35-39.
Fri Feb 15

Mon Feb 18	Sect 14.3	Partial derivatives	Exer. 11-19, 39, 42-45, 47, 51, 64, 65, 66a,b, 67, 68a, 69, 75, 79, 81.
Tue Feb 19	Sect 14.3	(cont.)
Wed Feb 20	Sect 14.4	Tangent planes	Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.
Fri Feb 22	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.

Mon 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.
Tue Feb 26	Sect 14.6	(cont.)
Wed Feb 27	Sect. 14.7	Maxima and Minima	Exer. 1, 3-6, 8, 13, 16, 18, 19, 20, 27, 28.
Fri Mar 1	Sect. 14.7	(cont.)	Exer. 31-33, 39, 40, 45, 46, 50, and especially 51 (easy but important).

Mon Mar 4	Review
Tue Mar 5	Review
Wed Mar 6
Fri Mar 8		Test 2

Mar 11 - 16		Spring Break

Mon Mar 18	Sect 15.1	Multiple integration	Exer. 1, 2, 6, 11-13, 17, 18.
Tue Mar 19	Sect 15.2	(cont.)	Exer. 1, 3-6, 11, 13, 14, 19, 20, 28, 36b.
Wed Mar 20	Sect 15.3	(cont.)	Exer. 2, 3, 5, 6, 8-11, 14, 15, 17, 19, 20, 21, 23, 28, 33-44, 50.
Fri Mar 22	Sect 15.4	Polar Coordinates	Exer. 1-6, 8, 11, 12, 15-17, 20, 23, 26-28.

Mon Mar 25	Sect 15.9	General Coordinates	Exer. 1, 3, 5, 7, 8, 9, 12.
Tue Mar 26	(cont.)
Wed Mar 27	Sect 15.5	Applications	Exer. 3, 5, 7-11, 22.
Fri Mar 29	(cont.)

Mon Apr 1	Review
Tue Apr 2	Sect 15.6	Surface Area	Exer. 2, 3, 6, 7, 9, 10.
Wed Apr 3	Sect. 15.7	Triple Integrals	Exer. 3, 5, 7, 9, 10, 11, 14, 18, 20, 23.
Fri Apr 5	Sect 15.8	Cyl. and Spher. Coordinates	Exer. 2-6, 13, 14, 18, 21, 23, 25, 29, 30.

Mon Apr 8	Review
Tue Apr 9	Test 3
Wed Apr 10	Sect 16.1	Vector Fields	Exer. 2, 3, 5-7, 11-18, 21, 23, 29-32.
Fri Apr 12	Sect 16.2	Line integrals	Exer. 1-3, 7, 10, 14, 17, 21-23, 31, 35.

Mon Apr 15	Sect 16.3	Fundamental Theorem	Exer. 1-6, 11-13, 16, 19, 21, 26, 28.
Tue Apr 16	Sect 16.4	Green's Theorem	Exer. 2, 3, 7-9, 11, 14, 19, 20, especially 21, 22.
Wed Apr 17	Sect 16.5	Div and Curl	Exer. 1, 4, 6, 7, 9-14, 18, 20, 30, 31.
Fri Apr 19	Sect 16.6	Parameterized surfaces	Exer. 1, 11-19, 23, 34, 35.

Mon Apr 22	Sect 16.7	Surface integrals	Exer. 4, 5, 6, 8, 13, 19, 22, 23, 35, 38, 40.

Classes end

Fri Apr 26	FINAL EXAM	(Comprehensive)	8:00 - 10:30, in 171 Education.