Syllabus, Math 2030, Winter 2011

Schedule and assignments
Vector Calculus, Math 2030, Winter 2011

Mon Jan 10 Sect 12.1 Coordinates Exer. 3, 4, 6, 7, 9, 10, 11, 14, 15, 19, 20, 22, 25, 27, 32-35.

Tue Jan 11 Sect 12.2 Vectors Exer. 4-7, 13, 15, 17, 18, 24, 25, 27, 28, 31, 35-39, and optionally 45, 46.

Wed Jan 12 Sect 12.3 Dot product Exer. 1-12, 14, 15, 17, 21, 24, 25, 27, 35, 37, 39, 41, 45, 47, 49-52, 58.

Fri Jan 14 Sect 12.4 Cross product Exer. 1-11 odd, 13, 16, 17, 27, 29, 33, 35, 43, 49.

Mon Jan 17 No class Martin Luther King Day

Tue Jan 18 Sect 12.5 Lines and Planes Exer. 1, 2, 4, 5, 7, 10, 12-19, 21, 23-29 odd, 30, 31, 35, 37, 39, 43, 45, 46, 48, 49, 51, 55, 57, 59, 61, 62, 67, 69, 71, 75, 76.

Wed Jan 19

Fri Jan 21 Sect 12.6 Quadric surfaces Exer. 1, 3, 6, 8, 9, 11, 13, 21-28, 30, 31, 41, 43, 49, 50.

Mon Jan 24 Sect 12.6 Quadric surfaces Exer. 1, 3, 6, 8, 9, 11, 13, 21-28, 30, 31, 41, 43, 49, 50.

Tue Jan 25 Sect 12.6

Wed Jan 26 Sect 13.1 Vector functions Exer. 1, 3, 4, 7-9, 16, 19-24, 26, 28, 36.

Fri Jan 28 Sect 13.2 Their derivatives Exer. 3-6, 11, 15, 18, 19, 22-26, 31, 39, 45.

Mon Jan 31 Sect 13.3 Arc length and curvature Exer. 1-3, 11, 15, 16 (a bit lengthy but doable), 17, 19, 25, 30, 31.
Note that you will want to use formulas 9, 10 and 11 for the curvature to simplify some of these calculations.

Tue Feb 1 Sect 13.4 Velocity and acceleration Exer. 3, 4, 6, 9, 11, 12, 19, 25, 28, 33, 35.

Wed Feb 2 Snow Day

Fri Feb 4 Review

Mon Feb 7 Test 1

Tue Feb 8 Sect 14.1 Multivariable functions Exer. 1, 3, 5, 6, 8, 9, 11, 12, 15, 17, 25, 27, 29, 30, 31, 55-60.

Wed Feb 9 Sect 14.3 Partial derivatives Exer. 3, 10, 11, 15, 17-23, 31, 40, 45, 46, 49, 50, 53, 75, 81,

Fri Feb 11 Sect. 14.3 cont.

Mon Feb 14 Sect 14.4 Tangent Planes Exer. 1, 4, 6, 11, 13, 17, 18, 25-28, 33, 34, 37. Optional but fun: 39, 42.

Tue Feb 15 Sect. 14.5 Chain Rule Exer. 1, 4, 7, 9, 11, 13, 14, 22, 24, 27, 30, 38, 39, 40, 42, 45, 49. Optional but fun: 55-58.

Wed Feb 16 Sect 14.6 Directional Derivatives Exer. 4, 5, 7-10, 11-13, 21, 24, 25, 28, 39-42, 52, 53, 54, 59. Optional but fun: 49-51.

Fri Feb 18 Sect. 14.6 Gradient See Wednesday's assignment.

Mon Feb 21 Snow Day This is your chance to study 14.1 - 14.6 to be sure you're ready for 14.7 Tuesday.

Tue Feb 22 Sect. 14.7 Maxima and minima Exer. 1, 2, 3, 5, 6, 9, 10, 11, 13, 16, 30, 31, 34, 41, 42, 44, 45, 46, 47. Optionally, 37 and 56.

Wed Feb 23 Sect 14.7 (cont.)

Fri Feb 25 Sect. 14.8 Lagrange multipliers Exer. 1, 3, 4, 9, 11, 12, 25, 41.

Mon Feb 28 Sect 14.8 (cont.)

Tue Mar 1 Review

Wed Mar 2 Review

Fri Mar 4 Test 2

Mon Mar 7 Sect 15.1 Integration over rectangles Exer. #1, 8, 11, 13, 14.

Tue Mar 8 Sect 15.2 Iterated integrals Exer. # 3, 5, 7, 11, 13, 13, 15, 17, 18, 20, 23, 25, 30.

Wed Mar 9 Sect 15.3 Integration over general regions Exer. # 1, 3, 5, 6, 7, 9, 11, 13, 16, 20, 23, 28, 39-44, 45, 47, 58.

Fri Mar 11 (cont.)

Mar 14 - 19 Spring Break

Mon Mar 21 Sect 15.4
and 15.9 Polar coordinates and
change of variables 15.4 Exer. # 1-4, 7, 8, 11, 15-17, 19-22.
15.9 Exer. # 1-8, 11, 13, 15, 19, 20, 24.
Tue Mar 22 cont.

Wed Mar 23 cont.

Fri Mar 25 Sect 15.5 Applications Exer. 4-10, 12, 15, 1-20, 23-26.

Mon Mar 28 Sect 15.6 Triple Integrals Exer. 3, 5, 8, 9, 12, 15, 16, 21, 30, 31, 38, 42, 43.

Tue Mar 29 Sect. 15.7
and 15.8 Cylindrical and Spherical
Coordinates 15.7 Exer. # 5-10, 16, 18, 21, 22, 25.
15.8 Exer. # 5-10, 15, 18, 19, 20, 21, 23, 27, 28.
Wed Mar 30 Review
Fri Apr 1 Review

Mon Apr 4 Test 3

Tue Apr 5 Sect 16.1 Vector Fields Exer. # 1, 2, 5, 6, 11-18, 21, 26, 29-32. Optional: 35, 36.
Wed Apr 6 Sect. 16.2 Line integrals Exer. 2, 3, 7, 8, 14, 19-21, 29a, 33, 40, 41.
Fri Apr 8 cont.

Mon Apr 11 Sect. 16.3 Fund. Thm. of Calculus Exer. # 1, 3-7, 12-15, 19, 20, 26.

Tue Apr 12 Sect. 16.3 cont.

Wed Apr 13 Sect. 16.4 Green's Theorem Exer. # 1-4, 8, 9, 13, 19, 20, 22.

Fri Apr 15

Mon Apr 18 Sect. 16.5 Div and Curl Exer. # 1, 3, 8, 13-15, 30, 31. Read 39.

Tue Apr 19 Sect. 16.6 Surfaces Exer. # 13-18, 19-26, 33-35, 37, 38, 41, 42, 43.

Wed Apr 20 Sect. 16.7 Surface Integrals Exer. # 10, 13, 19, 20, 22.

Fri Apr 22 Sect. 16.8-9 Stokes & Gauss Exer 16.8: # 1, 5, 9, 16. Exer 16.9: 2, 4, 8, 13, 19.

Mon Apr 25 Review Classes end Monday April 25

Friday, Apr 29 FINAL EXAM (Comprehensive) 8:00 - 10:30, in 171 Education

Class syllabus


Mon Jan 10	Sect 12.1	Coordinates	Exer. 3, 4, 6, 7, 9, 10, 11, 14, 15, 19, 20, 22, 25, 27, 32-35.
Tue Jan 11	Sect 12.2	Vectors	Exer. 4-7, 13, 15, 17, 18, 24, 25, 27, 28, 31, 35-39, and optionally 45, 46.
Wed Jan 12	Sect 12.3	Dot product	Exer. 1-12, 14, 15, 17, 21, 24, 25, 27, 35, 37, 39, 41, 45, 47, 49-52, 58.
Fri Jan 14	Sect 12.4	Cross product	Exer. 1-11 odd, 13, 16, 17, 27, 29, 33, 35, 43, 49.

Mon Jan 17		No class	Martin Luther King Day
Tue Jan 18	Sect 12.5	Lines and Planes	Exer. 1, 2, 4, 5, 7, 10, 12-19, 21, 23-29 odd, 30, 31, 35, 37, 39, 43, 45, 46, 48, 49, 51, 55, 57, 59, 61, 62, 67, 69, 71, 75, 76.
Wed Jan 19
Fri Jan 21	Sect 12.6	Quadric surfaces	Exer. 1, 3, 6, 8, 9, 11, 13, 21-28, 30, 31, 41, 43, 49, 50.

Mon Jan 24	Sect 12.6	Quadric surfaces	Exer. 1, 3, 6, 8, 9, 11, 13, 21-28, 30, 31, 41, 43, 49, 50.
Tue Jan 25	Sect 12.6
Wed Jan 26	Sect 13.1	Vector functions	Exer. 1, 3, 4, 7-9, 16, 19-24, 26, 28, 36.
Fri Jan 28	Sect 13.2	Their derivatives	Exer. 3-6, 11, 15, 18, 19, 22-26, 31, 39, 45.

Mon Jan 31	Sect 13.3	Arc length and curvature	Exer. 1-3, 11, 15, 16 (a bit lengthy but doable), 17, 19, 25, 30, 31. Note that you will want to use formulas 9, 10 and 11 for the curvature to simplify some of these calculations.
Tue Feb 1	Sect 13.4	Velocity and acceleration	Exer. 3, 4, 6, 9, 11, 12, 19, 25, 28, 33, 35.
Wed Feb 2		Snow Day
Fri Feb 4		Review

Mon Feb 7		Test 1
Tue Feb 8	Sect 14.1	Multivariable functions	Exer. 1, 3, 5, 6, 8, 9, 11, 12, 15, 17, 25, 27, 29, 30, 31, 55-60.
Wed Feb 9	Sect 14.3	Partial derivatives	Exer. 3, 10, 11, 15, 17-23, 31, 40, 45, 46, 49, 50, 53, 75, 81,
Fri Feb 11	Sect. 14.3	cont.

Mon Feb 14	Sect 14.4	Tangent Planes	Exer. 1, 4, 6, 11, 13, 17, 18, 25-28, 33, 34, 37. Optional but fun: 39, 42.
Tue Feb 15	Sect. 14.5	Chain Rule	Exer. 1, 4, 7, 9, 11, 13, 14, 22, 24, 27, 30, 38, 39, 40, 42, 45, 49. Optional but fun: 55-58.
Wed Feb 16	Sect 14.6	Directional Derivatives	Exer. 4, 5, 7-10, 11-13, 21, 24, 25, 28, 39-42, 52, 53, 54, 59. Optional but fun: 49-51.
Fri Feb 18	Sect. 14.6	Gradient	See Wednesday's assignment.

Mon Feb 21		Snow Day	This is your chance to study 14.1 - 14.6 to be sure you're ready for 14.7 Tuesday.
Tue Feb 22	Sect. 14.7	Maxima and minima	Exer. 1, 2, 3, 5, 6, 9, 10, 11, 13, 16, 30, 31, 34, 41, 42, 44, 45, 46, 47. Optionally, 37 and 56.
Wed Feb 23	Sect 14.7	(cont.)
Fri Feb 25	Sect. 14.8	Lagrange multipliers	Exer. 1, 3, 4, 9, 11, 12, 25, 41.

Mon Feb 28	Sect 14.8	(cont.)
Tue Mar 1		Review
Wed Mar 2		Review
Fri Mar 4		Test 2

Mon Mar 7	Sect 15.1	Integration over rectangles	Exer. #1, 8, 11, 13, 14.
Tue Mar 8	Sect 15.2	Iterated integrals	Exer. # 3, 5, 7, 11, 13, 13, 15, 17, 18, 20, 23, 25, 30.
Wed Mar 9	Sect 15.3	Integration over general regions	Exer. # 1, 3, 5, 6, 7, 9, 11, 13, 16, 20, 23, 28, 39-44, 45, 47, 58.
Fri Mar 11		(cont.)

Mar 14 - 19		Spring Break

Mon Mar 21	Sect 15.4 and 15.9	Polar coordinates and change of variables	15.4 Exer. # 1-4, 7, 8, 11, 15-17, 19-22. 15.9 Exer. # 1-8, 11, 13, 15, 19, 20, 24.
Tue Mar 22		cont.
Wed Mar 23		cont.
Fri Mar 25	Sect 15.5	Applications	Exer. 4-10, 12, 15, 1-20, 23-26.

Mon Mar 28	Sect 15.6	Triple Integrals	Exer. 3, 5, 8, 9, 12, 15, 16, 21, 30, 31, 38, 42, 43.
Tue Mar 29	Sect. 15.7 and 15.8	Cylindrical and Spherical Coordinates	15.7 Exer. # 5-10, 16, 18, 21, 22, 25. 15.8 Exer. # 5-10, 15, 18, 19, 20, 21, 23, 27, 28.
Wed Mar 30		Review
Fri Apr 1		Review

Mon Apr 4		Test 3
Tue Apr 5	Sect 16.1	Vector Fields	Exer. # 1, 2, 5, 6, 11-18, 21, 26, 29-32. Optional: 35, 36.
Wed Apr 6	Sect. 16.2	Line integrals	Exer. 2, 3, 7, 8, 14, 19-21, 29a, 33, 40, 41.
Fri Apr 8		cont.

Mon Apr 11	Sect. 16.3	Fund. Thm. of Calculus	Exer. # 1, 3-7, 12-15, 19, 20, 26.
Tue Apr 12	Sect. 16.3		cont.
Wed Apr 13	Sect. 16.4	Green's Theorem	Exer. # 1-4, 8, 9, 13, 19, 20, 22.
Fri Apr 15

Mon Apr 18	Sect. 16.5	Div and Curl	Exer. # 1, 3, 8, 13-15, 30, 31. Read 39.
Tue Apr 19	Sect. 16.6	Surfaces	Exer. # 13-18, 19-26, 33-35, 37, 38, 41, 42, 43.
Wed Apr 20	Sect. 16.7	Surface Integrals	Exer. # 10, 13, 19, 20, 22.
Fri Apr 22	Sect. 16.8-9	Stokes & Gauss	Exer 16.8: # 1, 5, 9, 16. Exer 16.9: 2, 4, 8, 13, 19.

Mon Apr 25	Review		Classes end Monday April 25

Friday, Apr 29	FINAL EXAM	(Comprehensive)	8:00 - 10:30, in 171 Education