Maple worksheets for Calculus 233

These are my Maple worksheets for Calculus 233 taught in Spring 2002. We used the book Multivariable Calculus by Stewart. The text of all exercises is provided in the worksheets so you don't need the book to understand the worksheets. The classroom meetings with the students are numbered from #1 to #31.

Chapter 1

#1a: Maple commands	January 22
#1b: Plotting with Maple	January 22
#2a: Three dim. coordinate systems	Section 1.1	January 24
#2b: Vectors	Section 1.2	January 24
#3a: The dot product	Section 1.3	January 29
#3b: The cross products	Section 1.4	January 29
#4a: Equations of lines	Section 1.5	January 31
#4b: Equations of planes	Section 1.5	January 31
#5a: Quadric surfaces	Section 1.6	February 5
#5b: Space curves	Section 1.7	February 5
#6a: Arc length and curvature	Section 1.8	February 7
#6b: The vectors T, N and B	Section 1.8	February 7
#7: Review 1	Sections 1.1-9	February 12
#8: Test 1	Sections 1.1-9	February 14
#9a: Cylindrical and spherical coordinates	Section 1.10	February 19

Chapter 2

#9b: Functions of several variables	Section 2.1	February 19
#10a: Limits and continuity	Section 2.2	February 21
#10b: Partial derivatives	Section 2.3	February 21
#11a: Tangent planes and differentials	Section 2.4	February 26
#11b: The chain rule	Section 2.5	February 26
#12a: Homework 1	Chapters 1,2	February 28
#12b: Directional derivatives and the gradient	Section 2.6	February 28
#13a: Local Extrema	Section 2.7	March 5
#13b: Absolute Extrema	Section 2.7	March 5
#14a: Review 2	Chapter 2	March 7
#14b: Lagrange multiplier	Section 2.8	March 7
#16: Test 2	Chapter 2	March 14

Chapter 3

#17a: Double integrals over rectangles	Section 3.1	March 26
#17b: Iterated integrals	Section 3.2	March 26
#18: Double integrals over arbitrary regions	Section 3.3	March 28
#19a: Double integrals in polar coordinates	Section 3.4	April 2
#19b: Applications of double integrals	Section 3.5	April 2
#20a: Surface areas	Section 3.6	April 4
#20b: Homework 2	Sections 3.1-6	April 4
#21: Triple integrals	Section 3.7	April 9
#22a: Triple integrals in cylindrical and spherical coordinates	Section 3.8	April 11
#22b: Review 3	Sections 3.3-3.8	April 11
#24: Test3	Sections 3.3-3.8	April 18

Chapter 4

#25a: Vector fields	Section 4.1	April 23
#25b: Line integrals	Section 4.2	April 23
#26a: Line integrals (work)	Section 4.2	April 25
#26b: The fundamental theorem for line integrals	Section 4.3	April 25
#27: Green's theorem	Section 4.4	April 30
#28: Curl and divergence	Section 4.5	May 2
#29a: Parametric surfaces and their areas	Section 4.6	May 7
#29b: Surface integrals	Section 4.7	May 7
#30: Review 4	Sections 4.1-4.7	May 9
#31: Final exam	Sections 4.1-4.7	May 14