Syllabus, Honors Math 2030, Fall 2000

Schedule and assignments
Vector Calculus, Honors Math 2030, Fall 2000

(Last modified November 3, 2000.)
This schedule will be modified as needed during the semester, depending upon the amount of time topics require.

Tues 9/5 Introduction

Wed 9/6 Sect. 12.1 Coordinates Exer. 3, 4, 5, 8, 9, 10, 11, 13, 22.

Fri 9/8 Sect 12.2 Vectors Exer. 4, 5, 6, 13, 15, 17, 24, 26, 27, 28, 29, 34, 41, 42.

Mon 9/11 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.

Tue 9/12 Sect 12.4 Cross Product Exer. 1-9, 13, 14, 15, 23, 26, 38, 39, 41, 45.

Wed 9/13 Sect 12.5 Lines and planes Exer. 1, 2, 3, 4, 5, 11, 12, 14, 15, 19, 20, 22, 26, 35, 36,
          41, 42, 47, 51, 53, 61, 63, 68.

Fri 9/15 Sect 12.6 Quadric surfaces Exer. 2, 8, 9, 10, 12, 30, 32, 42, 43, and optionally 47.

Mon 9/18 Sect 12.6 (cont.)

Tue 9/19 Sect 12.7 Cylindrical and spherical
coordinates Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 60.

Wed 9/20 Sect 13.1 Vector functions Exer. 3, 4, 7-12, 13, 15, 16, 21, 22, 30, 32.

Fri 9/22 Sect 13.2 Their derivatives Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.

Mon 9/25 Sect 13.3 Arc length and curvature Exer. 1-3, 7-10, 11, 12, 15, 17, 21, 23, 24-27.

Tue 9/26 Sect 13.4 Velocity and acceleration Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.

Wed 9/27 Review

Fri 9/29 Test 1 Chapters 12 and 13

Mon 10/2 Test Review

Tue 10/3 Sect 14.1 Functions of many variables Exer. 2, 3, 6, 7, 8, 11, 12, 15, 22-26, 29, 30.

Wed 10/4 Sect 14.1 (cont.) Exer. 31, 32, 35, 37, 39, 41, 43, 51-56.

Fri 10/6 Sect 14.2 Limits and continuity Exer. 1, 6-8, 11, 12, 20, 27, 35-39.

Mon 10/9 Sect 14.3 Partial derivatives Exer. 11-19, 39, 42-45, 47, 51, 64, 65, 66a,b, 67, 68a, 69, 75, 79, 81.

Tue 10/10 Sect 14.4 Tangent planes Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.

Wed 10/11 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.

Fri 10/13 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.

Mon 10/16 (cont.)

Tue 10/17 Sect 14.7 Maxima and Minima Exer. 1-4, 6, 8, 13, 14, 16, 18.

Wed 10/18 (cont.) Exer. 19, 20, 27, 28, 31-33, 39, 40, 45, 46, 50,
and especially 51 (easy but important).

Fri 10/20 (cont.)

Mon 10/23 Sect 14.8 Lagrange multipliers Exer. 4, 5, 7, 9, 14, 17, 39, 40.

Tue 10/24 Review

Wed 10/25 Test 2 Chapter 14

Fri 10/27 Sect 15.1 Multiple integration Exer. 1, 2, 6, 11-13, 17, 18.

Mon 10/30 Sect 15.2 (cont.) Exer. 1, 3-6, 11, 13, 14, 19, 20, 28, 36b.

Tue 10/31 Sect 15.3 (cont.) Exer. 2, 3, 5, 6, 8-11, 14, 15, 17, 19, 20, 21, 23, 28, 33-44, 50.

Wed 11/1 (cont.)

Fri 11/3 Sect 15.4 Polar Coordinates Exer. 1-6, 8, 11, 12, 15-17, 20, 23, 26-28.

Mon 11/6 Sect 15.9 Change of variables Exer. 1-3, 7-11, 13, 15, 19, 23.

Tue 11/7 (cont.)

Wed 11/8 Sect 15.5 Applications Exer. 3, 5, 7-11, 22.

Fri 11/10 (cont.)

Mon 11/13 (cont.) Exer. 23, 24, 26, 28, 29.

Tue 11/14

Wed 11/15 Sect 15.6 Surface Area Exer. 2, 3, 6, 7, 9, 10.

Fri 11/17 Sect. 15.7 Triple Integrals Exer. 3, 5, 7, 9, 10, 11, 14, 18, 20, 23.

Mon 11/20 Sect 15.8 Cyl. and Spher. Coordinates Exer. 2-6, 13, 14, 18, 21, 23, 25, 29, 30.

Tue 11/21 No Class (WSU Thursday)

Wed 11/22 Test 3 Chapter 15

Fri 11/24 Thanksgiving Holiday

Mon 11/27 Sect 16.1 Vector Fields Exer. 2, 3, 5-7, 11-18, 21, 23, 29-32.

Tue 11/28 Sect 16.2 Line integrals Exer. 1-3, 7, 10, 14, 17, 21-23, 31, 35.

Wed 11/29 Sect 16.3 Fundamental Theorem Exer. 1-6, 11-13, 16, 19, 21, 26, 28.

Fri 12/1 Sect 16.4 Green's Theorem Exer. 2, 3, 7-9, 11, 14, 19, 20, especially 21, 22.

Mon 12/4 (cont.)

Tue 12/5 Sect 16.5 Div and Curl Exer. 1, 4, 6, 7, 9-14, 18, 20, 30, 31.

Wed 12/6 Sect 16.6 Parameterized surfaces Exer. 1, 11-19, 23, 34, 35.

Fri 12/8 Sect 16.7 Surface integrals Exer. 4, 5, 6, 8, 13, 19, 22, 23, 35, 38, 40.

Mon 12/11

Tue 12/12

Wed 12/13

Thur 12/21 FINAL EXAM (Comprehensive) 8:00 - 10:30, in 235 State Hall.

Tues 9/5		Introduction
Wed 9/6	Sect. 12.1	Coordinates	Exer. 3, 4, 5, 8, 9, 10, 11, 13, 22.
Fri 9/8	Sect 12.2	Vectors	Exer. 4, 5, 6, 13, 15, 17, 24, 26, 27, 28, 29, 34, 41, 42.

Mon 9/11	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.
Tue 9/12	Sect 12.4	Cross Product	Exer. 1-9, 13, 14, 15, 23, 26, 38, 39, 41, 45.
Wed 9/13	Sect 12.5	Lines and planes	Exer. 1, 2, 3, 4, 5, 11, 12, 14, 15, 19, 20, 22, 26, 35, 36, 41, 42, 47, 51, 53, 61, 63, 68.
Fri 9/15	Sect 12.6	Quadric surfaces	Exer. 2, 8, 9, 10, 12, 30, 32, 42, 43, and optionally 47.

Mon 9/18	Sect 12.6	(cont.)
Tue 9/19	Sect 12.7	Cylindrical and spherical coordinates	Exer. 3-5, 13-15, 31-40, 47, 49, 50, 57, 60.
Wed 9/20	Sect 13.1	Vector functions	Exer. 3, 4, 7-12, 13, 15, 16, 21, 22, 30, 32.
Fri 9/22	Sect 13.2	Their derivatives	Exer. 2, 3, 4, 7, 9, 10, 15, 16, 17, 21, 23, 26, 31, 32, 50.

Mon 9/25	Sect 13.3	Arc length and curvature	Exer. 1-3, 7-10, 11, 12, 15, 17, 21, 23, 24-27.
Tue 9/26	Sect 13.4	Velocity and acceleration	Exer. 3, 5, 6, 9, 10, 12, 13, 15-19, 22, 23, 25, 28, 30, 31.
Wed 9/27		Review
Fri 9/29		Test 1	Chapters 12 and 13

Mon 10/2			Test Review
Tue 10/3	Sect 14.1	Functions of many variables	Exer. 2, 3, 6, 7, 8, 11, 12, 15, 22-26, 29, 30.
Wed 10/4	Sect 14.1	(cont.)	Exer. 31, 32, 35, 37, 39, 41, 43, 51-56.
Fri 10/6	Sect 14.2	Limits and continuity	Exer. 1, 6-8, 11, 12, 20, 27, 35-39.

Mon 10/9	Sect 14.3	Partial derivatives	Exer. 11-19, 39, 42-45, 47, 51, 64, 65, 66a,b, 67, 68a, 69, 75, 79, 81.
Tue 10/10	Sect 14.4	Tangent planes	Exer. 1, 3, 6, 7, 11-16, 23-29, 31, 32, 35, 37, 38. Opt: 41, 42.
Wed 10/11	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.
Fri 10/13	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.

Mon 10/16		(cont.)
Tue 10/17	Sect 14.7	Maxima and Minima	Exer. 1-4, 6, 8, 13, 14, 16, 18.
Wed 10/18		(cont.)	Exer. 19, 20, 27, 28, 31-33, 39, 40, 45, 46, 50, and especially 51 (easy but important).
Fri 10/20		(cont.)

Mon 10/23	Sect 14.8	Lagrange multipliers	Exer. 4, 5, 7, 9, 14, 17, 39, 40.
Tue 10/24	Review
Wed 10/25		Test 2	Chapter 14
Fri 10/27	Sect 15.1	Multiple integration	Exer. 1, 2, 6, 11-13, 17, 18.

Mon 10/30	Sect 15.2	(cont.)	Exer. 1, 3-6, 11, 13, 14, 19, 20, 28, 36b.
Tue 10/31	Sect 15.3	(cont.)	Exer. 2, 3, 5, 6, 8-11, 14, 15, 17, 19, 20, 21, 23, 28, 33-44, 50.
Wed 11/1		(cont.)
Fri 11/3	Sect 15.4	Polar Coordinates	Exer. 1-6, 8, 11, 12, 15-17, 20, 23, 26-28.

Mon 11/6	Sect 15.9	Change of variables	Exer. 1-3, 7-11, 13, 15, 19, 23.
Tue 11/7		(cont.)
Wed 11/8	Sect 15.5	Applications	Exer. 3, 5, 7-11, 22.
Fri 11/10		(cont.)

Mon 11/13		(cont.)	Exer. 23, 24, 26, 28, 29.
Tue 11/14
Wed 11/15	Sect 15.6	Surface Area	Exer. 2, 3, 6, 7, 9, 10.
Fri 11/17	Sect. 15.7	Triple Integrals	Exer. 3, 5, 7, 9, 10, 11, 14, 18, 20, 23.

Mon 11/20	Sect 15.8	Cyl. and Spher. Coordinates	Exer. 2-6, 13, 14, 18, 21, 23, 25, 29, 30.
Tue 11/21		No Class	(WSU Thursday)
Wed 11/22		Test 3	Chapter 15
Fri 11/24		Thanksgiving	Holiday

Mon 11/27	Sect 16.1	Vector Fields	Exer. 2, 3, 5-7, 11-18, 21, 23, 29-32.
Tue 11/28	Sect 16.2	Line integrals	Exer. 1-3, 7, 10, 14, 17, 21-23, 31, 35.
Wed 11/29	Sect 16.3	Fundamental Theorem	Exer. 1-6, 11-13, 16, 19, 21, 26, 28.
Fri 12/1	Sect 16.4	Green's Theorem	Exer. 2, 3, 7-9, 11, 14, 19, 20, especially 21, 22.

Mon 12/4		(cont.)
Tue 12/5	Sect 16.5	Div and Curl	Exer. 1, 4, 6, 7, 9-14, 18, 20, 30, 31.
Wed 12/6	Sect 16.6	Parameterized surfaces	Exer. 1, 11-19, 23, 34, 35.
Fri 12/8	Sect 16.7	Surface integrals	Exer. 4, 5, 6, 8, 13, 19, 22, 23, 35, 38, 40.

Mon 12/11
Tue 12/12
Wed 12/13
Thur 12/21	FINAL EXAM	(Comprehensive)	8:00 - 10:30, in 235 State Hall.