Syllabus, Math 2030, Winter 2005

Schedule and assignments
Vector Calculus, Math 2030, Winter 2005

Mon Jan 10 Sect 12.1 Coordinates Exer. 3, 4, 6, 7, 9, 10, 11, 14, 15, 19, 20, 27, 32-34.

Sect 12.2 Vectors Exer. 2, 4-7, 13, 15, 17, 24, 26, 27, 28, 29, 30, 35-37, and optionally 43, 44.

Tue Jan 11 Sect 12.3 Dot product Exer. 1-10, 14, 15, 17, 19, 21, 24, 25, 27, 35-39, 41, 43, 47, 49-52, 58.

Wed Jan 12 Sect 12.4 Cross product Exer. 1-9, 13, 15, 23, 25, 30, 38, 39, 45.

Fri Jan 14 Sect 12.5 Lines and Planes Exer. 1-5, 12-15, 19, 20, 22, 23, 26, 31, 35, 41, 42, 47, 53, 57, 60, 65, 68.

Mon Jan 17 No class Martin Luther King Day

Tue Jan 18

Wed Jan 19

Fri Jan 21

Mon Jan 24

Tue Jan 25 Sect 12.6 Quadric surfaces Exer. 1, 3, 4, 8, 9, 10, 12, 21-28, 30, 32, 42 and optionally 47.

Wed Jan 26 Sect 12.7 Cylindrical and spherical
coordinates Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 59, 60, 62.

Fri Jan 28

Mon Jan 31

Tues Feb 1

Wed Feb 2

Fri Feb 4

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

Tues Feb 8 Sect 13.2 Their derivatives Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.

Wed Feb 9 Test 1

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

Mon Feb 14 Sect 13.4 Velocity and acceleration Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.

Tue Feb 15

Wed Feb 16 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.

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

Mon Feb 21 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 22 Sect 14.4 Tangent planes Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.

Wed Feb 23

Fri Feb 25 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 28 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 Mar 1 Sect. 14.7 Maxima and Minima Exer. 1, 3-6, 8, 13, 16, 18, 19, 20, 27, 28.

Wed Mar 2 Review
Fri Mar 4 Test 2

Mon Mar 7 Sect. 14.7 (cont.) Exer. 31-33, 39, 40, 45, 46, 50,
and especially 53 (easy but important).

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

Wed Mar 9

Fri Mar 12

Mar 14 - 18 Spring Break

Mon Mar 21 Sect. 15.1 Integration Exer. 1, 11, 17.

Sect. 15.2 Iterated Integrals Exer. 1, 3, 5, 8, 10, 18, 27.

Tue Mar 22 Sect 15.3 General regions Exer. 1-13 odd, 14, 17-27 odd, 31, 43.

Wed Mar 23 Sect. 15.9 Change of coordinates Exer. 1, 2, 4, 5, 7-10, 19, 20.

Fri Mar 25 Sect. 15.4 Polar coordinates Exer. 1-9, 11, 12, 17-19, 21, 22, opt. 28, 33, 36.

Mon Mar 28 Sect. 15.5 Centroids and moments. Exer. 3, 4, 7, 9, 15, 17.

Tue Mar 29 Sect. 15.7 3D Integrals Exer. 3, 7, 9, 10, 15, 19, 25, 26, 27, 31.

Wed Mar 30 Sect. 15.8 Cyl. and Spher. Coordinates Exer. 1-4, 7, 9, 12, 17-19, 35, 36.

Fri Apr 1

Mon Apr 4

Tue Apr 5

Wed Apr 6

Fri Apr 8 Test 3

Mon Apr 11 Sect. 16.1 Vector fields Exer. 1, 2, 9, 11-14, 21, 23, 25.

Tue Apr 12 Sect. 16.2 Line integrals Exer. 5-8, 14, 17, 20, 22.

Wed Apr 13 Sect. 16.3 Fund. Thm Exer. 1-6, 11-13, 19, 33.

Fri Apr 15 Sect. 16.4 Green's Thm Exer. 1-3, 7, 12, 13, 15, 19, 21.

Mon Apr 18 Sect. 16.5 Curl and div Exer. 1, 3, 6, 12-14, 16, 30, 31.

Tue Apr 19 Sect. 16.6 Surfaces Exer. 1-3, 17-19, 21, 24, 30, 32, 35.

Wed Apr 20 Sect. 16.7 Surface integrals Exer. 5, 9, 19, 21, 23, 25.

Fri Apr 22 Sect. 16.8 Stokes Thm Exer. 1-3, 5, 7, 9, 10.

Mon Apr 25 Sect. 16.9 Divergence Thm Exer. 1, 3, 5, 7, 10, 11, 29.

Classes end

Tue Apr 26 Review session Time to be announced.

Wed Apr 27 FINAL EXAM (Comprehensive) 8:00 - 10:30, in 215 State Hall

Class syllabus


Mon Jan 10	Sect 12.1	Coordinates	Exer. 3, 4, 6, 7, 9, 10, 11, 14, 15, 19, 20, 27, 32-34.
	Sect 12.2	Vectors	Exer. 2, 4-7, 13, 15, 17, 24, 26, 27, 28, 29, 30, 35-37, and optionally 43, 44.
Tue Jan 11	Sect 12.3	Dot product	Exer. 1-10, 14, 15, 17, 19, 21, 24, 25, 27, 35-39, 41, 43, 47, 49-52, 58.
Wed Jan 12	Sect 12.4	Cross product	Exer. 1-9, 13, 15, 23, 25, 30, 38, 39, 45.
Fri Jan 14	Sect 12.5	Lines and Planes	Exer. 1-5, 12-15, 19, 20, 22, 23, 26, 31, 35, 41, 42, 47, 53, 57, 60, 65, 68.

Mon Jan 17		No class	Martin Luther King Day
Tue Jan 18
Wed Jan 19
Fri Jan 21

Mon Jan 24
Tue Jan 25	Sect 12.6	Quadric surfaces	Exer. 1, 3, 4, 8, 9, 10, 12, 21-28, 30, 32, 42 and optionally 47.
Wed Jan 26	Sect 12.7	Cylindrical and spherical coordinates	Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 59, 60, 62.
Fri Jan 28

Mon Jan 31
Tues Feb 1
Wed Feb 2
Fri Feb 4

Mon Feb 7	Sect 13.1	Vector functions	Exer. 3, 4, 7-12, 13, 15, 16, 21, 22, 30, 32.
Tues Feb 8	Sect 13.2	Their derivatives	Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.
Wed Feb 9		Test 1
Fri Feb 11	Sect 13.3	Arc length and curvature	Exer. 1-3, 7-10, 11, 12, 15, 17, 21, 23, 24-27.

Mon Feb 14	Sect 13.4	Velocity and acceleration	Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.
Tue Feb 15
Wed Feb 16	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.
Fri Feb 18	Sect 14.2	Limits and continuity	Exer. 1, 6-8, 11, 12, 20, 27, 35-39.

Mon Feb 21	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 22	Sect 14.4	Tangent planes	Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.
Wed Feb 23
Fri Feb 25	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 28	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 Mar 1	Sect. 14.7	Maxima and Minima	Exer. 1, 3-6, 8, 13, 16, 18, 19, 20, 27, 28.
Wed Mar 2		Review
Fri Mar 4		Test 2

Mon Mar 7	Sect. 14.7	(cont.)	Exer. 31-33, 39, 40, 45, 46, 50, and especially 53 (easy but important).
Tue Mar 8	Sect. 14.8	Lagrange Multipliers	Exer. 3, 5, 7, 9, 15, 19, 39.
Wed Mar 9
Fri Mar 12

Mar 14 - 18		Spring Break

Mon Mar 21	Sect. 15.1	Integration	Exer. 1, 11, 17.
	Sect. 15.2	Iterated Integrals	Exer. 1, 3, 5, 8, 10, 18, 27.
Tue Mar 22	Sect 15.3	General regions	Exer. 1-13 odd, 14, 17-27 odd, 31, 43.
Wed Mar 23	Sect. 15.9	Change of coordinates	Exer. 1, 2, 4, 5, 7-10, 19, 20.
Fri Mar 25	Sect. 15.4	Polar coordinates	Exer. 1-9, 11, 12, 17-19, 21, 22, opt. 28, 33, 36.

Mon Mar 28	Sect. 15.5	Centroids and moments.	Exer. 3, 4, 7, 9, 15, 17.
Tue Mar 29	Sect. 15.7	3D Integrals	Exer. 3, 7, 9, 10, 15, 19, 25, 26, 27, 31.
Wed Mar 30	Sect. 15.8	Cyl. and Spher. Coordinates	Exer. 1-4, 7, 9, 12, 17-19, 35, 36.
Fri Apr 1

Mon Apr 4
Tue Apr 5
Wed Apr 6
Fri Apr 8		Test 3

Mon Apr 11	Sect. 16.1	Vector fields	Exer. 1, 2, 9, 11-14, 21, 23, 25.
Tue Apr 12	Sect. 16.2	Line integrals	Exer. 5-8, 14, 17, 20, 22.
Wed Apr 13	Sect. 16.3	Fund. Thm	Exer. 1-6, 11-13, 19, 33.
Fri Apr 15	Sect. 16.4	Green's Thm	Exer. 1-3, 7, 12, 13, 15, 19, 21.

Mon Apr 18	Sect. 16.5	Curl and div	Exer. 1, 3, 6, 12-14, 16, 30, 31.
Tue Apr 19	Sect. 16.6	Surfaces	Exer. 1-3, 17-19, 21, 24, 30, 32, 35.
Wed Apr 20	Sect. 16.7	Surface integrals	Exer. 5, 9, 19, 21, 23, 25.
Fri Apr 22	Sect. 16.8	Stokes Thm	Exer. 1-3, 5, 7, 9, 10.

Mon Apr 25	Sect. 16.9	Divergence Thm	Exer. 1, 3, 5, 7, 10, 11, 29.

Classes end

Tue Apr 26	Review session		Time to be announced.

Wed Apr 27	FINAL EXAM	(Comprehensive)	8:00 - 10:30, in 215 State Hall