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Schedule for Math 238

(Multivariable Calculus)

Due Dates	Text Reading Assignments	Text Exercises for Submission	Text Exercises for Practice
08/31 M	Graphing Handout
09/01 Tu	Sections 1.1, 1.2	Exercises for 1.1: # 2, 4, 5, 7, 11, 14, 16, 17, 20, 22 (Note: In #14 and #16, it is possible for a correct answer to look different from what is given.) Exercises for 1.2: # 2, 4, 6, 8, 10, 14, 16
09/02 W	Section 2.1 (Class Notes)
09/04 F	Section 2.2 (Class Notes Note: this section will be covered intuitively instead of with complete mathematical rigor.)	Exercises for 2.1: Draw the level curves and name the surface if possible in # 2, 4, 6, 10; name the surface in # 20, 22, 24, 26, 28, 30.	Exercises for 2.1: Draw the level curves and name the surface if possible in # 5, 7; name the surface in # 19, 21, 23, 25, 27, 29; 31.
09/07 M	Section 2.3 (Class Notes)	Exercises for 2.2: Use algebraic simplification to find the limit in # 8a; show that the limit in #8c is zero; use two different paths to show that the limit in # 10c does not exist.	Exercises for 2.2: First, show that the limit in #9c is zero; then, after removing the 2 from the denominator, use two different paths to show that this limit does not exist.
09/08 Tu
09/09 W	Section 2.4 (Class Notes)	Section 2.2 Homework Handout
09/11 F	Section 2.4	Exercises for 2.3: # 2, 6, 8, 16, 18	Exercises for 2.3: # 3, 5, 7, 9, 11, 13, 15, 17
09/14 M	Section 2.5 (Class Notes)	Exercises for 2.4: # 2, 6, 8, 10, 12, 14, 16, 18, 20	Exercises for 2.4: # 1, 5, 7, 9, 11, 13, 15, 17, 19
09/15 Tu
09/16 W	Section 2.6 (Class Notes)
09/18 F	Section 2.6	Exercises for 2.5: # 4, 5a, 10, 16 Chapter 2 Review Exercises: # 37, 38, 44	Exercises for 2.5: # 5bcd, 9, 11, 13
09/21 M	Section 3.1 (Class Notes)	Exercises for 2.6: # 2, 4, 6, 8, 14, 16, 24	Exercises for 2.6: # 1, 3, 5, 7, 9, 13
09/22 Tu	Exam #1 on Chapter 2 – Some review exercises are available here.
09/23 W	Section 3.2 (Class Notes)
09/25 F	Section 3.3 (Class Notes)	Exercises for 3.1: # 2, 4, 6, 8, 10, 19, 20	Exercises for 3.1: # 1, 3, 5, 7, 9, 13, 15
09/28 M	Section 3.3	Exercises for 3.2: # 2, 4, 6	Exercises for 3.2: # 1, 3, 5
09/29 Tu
09/30 W	Section 3.4 (Class Notes)
10/02 F	Section 3.4	Exercises for 3.3: # 2, 4, 6, 10, 12, 14, 16, 20, 22, 28	Exercises for 3.3: # 1, 3, 5, 7, 11, 13, 15, 21, 29
10/05 M	Section 3.5 (Class Notes)	Exercises for 3.4: Section 3.4 Homework Handout	Exercises for 3.4: # 1, 3, 5
10/06 Tu	Section 1.3	Exercises 1.3: # 2a, 3, 6, 10, 12, 16, 24, 26
10/07 W	Section 3.5
10/09 F	Section 4.1 (Class Notes)	Exercises for 3.5: Do #2 and also find the equation of the plane tangent at the given point. In #4, for the relation given, first find all points near which the graph can be represented as y = f(x) and find a formula for dy/dx; then find all points near which the graph can be represented as x = f(y) and find a formula for dx/dy. Do # 6, 8, 12.	Exercises for 3.5: # 3, 5, 7
10/12 M
10/13 Tu	Exam #2 on Chapter 3 – Some review exercises are available here.
10/14 W
10/16 F	Section 4.2 (Class Notes)	Completed class handout for Section 4.1
10/19 M	Section 4.3 (Class Notes)
10/20 Tu		Exercises for 4.1: # 2, 4, 6, 8, 10, 12, 14, 15, 16, 18	Exercises for 4.1: # 1, 3, 5, 7, 9, 11, 13, 17, 19
10/21 W	Section 4.4 (Class Notes)	Exercises for 4.2: # 2, 4, 6, 8, 10 (Note: In #6 & #8, you need to know that the anti-derivative of (t^2+2)^1/2 is t(t^2+2)^1/2/2 + ln|t+(t^2+2)^1/2|.)	Exercises for 4.2: # 1, 3, 5, 7, 9
10/23 F		Exercises for 4.3: # 2, 4, 6, 8, 10, 12, 14, 16, 18	Exercises for 4.3: # 1, 3, 5, 7, 9, 11, 13, 15
10/26 M
10/27 Tu
10/28 W		Exercises for 4.4: # 2, 4, 6, 8, 10, 12, 14, 16(Hint: Use identity 10 on page 306), 18, 20, 22, 24, 26, 28, 32	Exercises for 4.4: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31
11/02 M	Section 5.1 (Class Notes)	Completed class handout for Section 4.4
11/03 Tu	Exam #3 on Chapter 4 – Some review exercises are available here.
11/04 W
11/06 F	Section 5.2 (Class Notes)	Exercises for 5.1: # 1bd, 2bd, 3, 5, 8, 10 Section 5.1 Homework Handout	Exercises for 5.1: # 1ac, 2ac, 6, 7, 9
11/09 M	Section 5.3 (Class Notes)	Exercises for 5.2: # 2cd, 4, Section 5.2 Homework Handout	Exercises for 5.2: # 1, 3, 7(Note: The answer 11/6 in the textbook should really 17/6)
11/10 Tu		Exercises for 5.3: Do# 2acde, Do #6 after changing the function to be integrated to xy (instead of x^2+y^2). Do #8.	Exercises for 5.3: # 1, 5, 7, 11, 13
11/11 W	Section 5.4 (Class Notes)
11/13 F	Section 5.5 (Class Notes)
11/16 M	Section 6.2 (Class Notes)	Exercises for 5.4: In #2, sketch each region, and in part (a) reverse the order of integration; in part (b) do not change the order of integration but change the function being integrated from x^2 to x; in part (c) reverse the order of integration; in part (d) reverse the order of integration. Do #6. In #8, sketch the region, change the function being integrated to xy^2 (instead of y^2Öx), and evaluate the integral corresponding to “easier” of the two orders of integration. Do #12.	Exercises for 5.4: # 1, 5, 11, 13
11/17 Tu		Exercises for 5.5: # 2, 4, 6, 8, 10, 12, 14, 16, 18, 22, 24	Exercises for 5.5: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 21
11/18 W	Section 1.4 (Class Notes)	Section 6.2 Homework Handout
11/20 F	Section 7.2 (Class Notes)	Section 1.4 Homework Handout
11/23 M
11/30 M	Section 7.3 (Class Notes)	Exercises for 7.2: # 2, 4a, 5, 6, 12, 14, 16	Exercises for 7.2: # 1, 7, 9, 15
12/01 Tu	Exam #4 on Chapter 5, Section 6.2, and Section 1.4 – Some review exercises are available here.
12/02 W	Section 8.1 (Class Notes)	Section 7.3 Homework Handout	Exercises for 7.3: # 1, 3, 11
12/04 F	Section 7.4 (Class Notes)	Section 8.1 Homework Handout	Exercises for 8.1: # 1, 3, 7, 9
12/07 M
12/08 Tu		Section 7.4 Homework Handout
12/09 W	Questions about Final Exam
12/11 F	Questions about Final Exam
12/14-18	Final Exam (in the time slot on the final exam schedule) – Some review exercises are available here.