Homeworks:

Homeworks are due in your section on Monday of the listed week.

Homework from Week One: Due Week of Sept 2nd (this is Labor Day--so the next day)

• Section 10.1: 1, 2, 3, 5, 7, 11, 12, 24, 37, 38
• Section 10.2: 1, 2, 3, 4, 5, 11, 13, 17, 18, 19, 29, 30, 32, 33, 41, 42, 43, 44, 48, 51, 52, 53, 73, 74
• For Tuesday: Read 10.3, 10.4 ,10.5, 12.1, and 12.2.
• For Thursday: Read 12.3, 12.4, and 12.5.

Lecture 1: Aug 29, 2024

Homework Work from Week Two: Due Week of Sept 9th

• Section 10.3: 1a-c, 3a-c(*), 7, 9(*), 11, 15(*), 16, 17, 18(*), 19, 20, 29(*), 33, 35(*), 43, 45, 57(*), 60, 63(*)
• Section 10.4: 1, 3(*), 9, 11(*), 17, 45(*), 47(*)
• Section 10.5: 1, 3, 5(*), 11, 13(*), 17, 19(*), 21(*)
• Section 12.1: 1, 3, 5, 7(*), 10, 11(*), 12, 13(*), 15, 16, 19a-b(*), 22,
• Section 12.2: 1a-d, 5(*), 13(*), 14, 15(*), 18, 19(*), 24, 25(*), 26, 27(*), 32, 35(*), 41
• Section 12.3: 3(*), 4, 5(*), 6, 9, 10, 11(*), 13(*), 14, 15(*), 17, 19(*), 23, 25(*), 26, 35(*), 36, 37(*), 41, 43, 49(*), 50, 51(*), 53(*), 58
• Section 12.4: 1, 3, 5(*), 13, 20, 21(*), 22, 29(*), 31, 38, 45(*), 49(*)
• Section 12.5: 1, 2, 3(*), 6, 7, 8, 12, 13(*), 14, 17(*), 23, 27, 43(*), 46, 49(*), 51(*), 62, 63(*), 73 (this one involves the distance from a point to a plane--you can save it for the next homework if you want).
• READ 13.1, 13.2, 14.1, and 14.2 (these will be covered on Tuesday)
  Lecture 2: Sept 3, 2024
  
  Lecture 3: Sept 5, 2024
  
  

Homework for Week Three: Due Week of Sept 16th

Section 13.1: 1(*), 2, 3, (*)5, 7, 15(*), 18, 1(*)9, 20, 2(*)1, 22, 2(*)3, 24, 4(*)1, 42,

Section 13.2: 9, 11, 1(*)3, 15, 1(*)7, 19, 24, 2(*)5, 3(*)3, 3(*)5

Section 14.1: 9(*), 11, 13(*), 15, 17, 19(*), 21, 23(*), 31, 32, 33(*), 35(*), 36, 41, 43(*), 6(*)7

Section 14.2: 1(*), 5, 7(*), 9(*), 13(*), 19(*), 21, 25(*), 26, 29, 31(*), 37(*), 44(*) (this last one is interesting, and not so easy)

Section 14.3: 5(*), 8, 9, 15(*), 17(*), 19(*), 21, 23(*), 31, 37(*), 39, 42

Section 14.4: 1(*), 3, 5(*), 6, 11(*), 13, 15(*), 17, 19(*), 33(*), 34, 42, 45(*) (I will go over 14.4 again on Tuesday--so if you want to save 14.4 problems until the next assignments, that's okay.)

READ 14.4, 14.5 (For Tuesday)

READ 14.6 (For Thursday)

Lecture 4: Sept 10, 2024

Lecture 5: Sept 12, 2024

Week Four: Due Week of Sept 16th

Section 14.4: 1(*), 3, 5(*), 6, 11(*), 13, 15(*), 17, 19(*), 33(*), 34, 42, 45(*) (also listed in previous assignment)

Section 14.5: 1(*), 3, 5(*), 6, 7(*), 9, 10, 11(*), 12, 13(*), 14, 15(*), 21(*), 22, 23(*), 27, 29(*), 31, 34, 45(*), 47(*), 49(*), 51(*)

Section 14.6: 4, 5(*), 6, 7(*), 8, 9, 11(*), 13(*), 20, 21(*), 22, 23(*), 24, 27(*), 28, 29(*), 35(*), 37, 39(*), 40, 41(*), 43(*), 47(*), 49(*), 50, 52, 53(*), 55(*), 56, 57(*))

Lecture 6: Sept 17, 2024

Lecture 7: Sept 19, 2024

READ 14.7 For Tuesday

READ 14.8 For Thursday (and the following Tuesday)

Week Five: Due Week of Sept 30 ---

Section 14.7: 1(*), 2, 5(*), 7, 9(*), 11(*), 13(*), 15, 19(*), 29(*), 31(*), 33, 35,(*) 39, 41(*), 43(*), 45(*), 51(*), 53(*)

Study for the midterm.

Read Section 14.8 for class on Tuesday, Oct. 1

Lecture 8: Sept 24, 2024
Lecture 9: Sept 26, 2024

(powerpoint) Lecture 9: Sept 26, 2024




Week Six: Due Week of Oct 7th

Section 14.8: 3, 5, 9, 11, 13, 15, 17, 19, 21, 40, 41, 45



Lecture 10: Oct. 1, 2024
Week Seven: Due Week of Oct 14th

Please read 15.1 through 15.3

Section 14.8: 3(*), 5, 9(*), 11(*), 13, 15(*), 17, 19(*), 21(*), 40, 41, 45(*) (yes, I forgot to star section 14.8, so I am giving you an extra week.

Section 15.1: 1(*), 3(*), 11, 13, 17(*)

Section 15.2: 1, 3(*), 5, 7(*), 8, 9(*), 11, 13, 15(*), 17, 19(*), 25, 27(*)

Conceptual Problems: Chapter 14: 61,62,63. Chapter 14 Review: 6, 19 [concept check problem]; all the true-false questions, problem 50. In Problems Plus: 5, 7(*), 8.

Read 15.3, 15.4 for Tuesday



Lecture 11: Oct. 8, 2024

Lecture 12: Oct. 10, 2024 and we did a little of Lecture 13: Oct. 10, 2024


Week Eight: Due Week of Oct 21st ANNOUNCEMENT

Just to be clear, the section numbers below refer to Edition 8 of Stewart.

Section 15.3: Double Integrals in Polar Coordinates: 1, 3(*), 5, 7, 9(*), 11, 13(*), 15, 19(*), 21(*), 23(*), 25, 31(*), 39(*)

Section 15.4: Applications of Double Integals: 3(*), 5(*)

Section 15.5: Surface Area: 3, 4, 5(*), 6, 7(*), 9, 10(*), 11(*), 12, 13(*), 15, 17(*), 23

Section 15.6: Triple Integals: 3(*), 5(*), 7, 9(*), 11, 13(*), 17, 19(*), 20, 21, 22(*) (and for those of you that want to get a head start, the problems below are what will be due on Oct 28th)

Section 15.7: Cylindrical Coordinates: 1, 3,(*) 9(*), 15(*), 16, 17(*), 19(*), 21(*), 22

Read 15.9

Lecture 14 (partially): Oct. 15, 2024


PLEASE READ the section on change of variables before class on Tuesday, Oct. 22 Lecture 15: Oct. 18, 2024


Week Nine: Due Week of Oct 28----

Section 15.8: Spherical Coordinates: 1, 3(*), 5, 7(*), 17, 19(*), 21(*), 23(*), 27, 29, 35

Section 15.9: Change of Variable: 2, 3(*), 4(*), 5(*), 6(*), 7(*), 10(*), 11(*), 12(*), 13(*), 15(*), 17(*), 19(*), 21, 23(*), 24

Problems from Review Section for Chapter 15: I think you should do the following, but it is up to you: [1,3,4,5,7,9,11,13,14,15,17,18]

Two Essays: BOTH SHOULD BE HANDED IN THROUGH GRADESCOPE. ESSAYS DUE Monday, Nov. 4th at 5PM

Essay #1: Write an essay structuring the material in Chapter 14, explaining how to get to Lagrange multipliers. (1) What do I mean by this? I mean explain how all the material in Chapter 14 fits together. The essay should not be all words---please use equations, etc. (2) What I am *not* looking for is a collection of definitions and theorems. (3) So, here is a structure: "Lagrange multipliers are a way of solving (XXX,YYY). As an example, consider AAA,BBB, with the goal of solving AAA subect to BBB. Lagrange multipliers say that CCC and DDD, must point in the same direction. In order to make sense of that we need to define CCC and DDD, as well as the idea of "same direction". When we say CCC, we mean that EEE, which relies on the use of FFF and GGG, which themselves require...." I hope you get the idea. In order to do so, you will end up explaining partial derivatives, gradients, level sets, optimization problems, the "D" test, tangent lines and planes, orthogonality conditions, etc. (4) How long should it be? Long enough so that one could actually learn from it--and so that when you find it two years from now, you will read it, and it will make sense, and long enough that you can hand it to a friend taking the course next year.

Essay #2: Write an essay structuring the material in Chapter 15, explaining how to get to the change of variables section (15.9). (1) What do I mean by this? I mean explain how all the material in Chapter 15 fits together. The essay should not be all words---please use equations, etc. (2) What I am *not* looking for is a collection of definitions and theorems. (3) So, here is a structure: "Change of variables allows you to transform a double (or triple) integral in one coordinate system into another..In order to make sense of that we need to define ...

This should be handed in to through gradescope. I will set up a this week...

Read 16.1 through 16.3

Lecture 16: Oct. 22, 2024

Lecture 17: Oct. 24, 2024



Week Ten: Due Week of Nov 4th

Study for Midterm: Don't forget Lagrange multipliers.

As before, prepare a sample midterm, and share it with friends--3 easy, 3 medium, 3 hard.

Section 16.1: (Vector Fields) 1, 5(*), 7, 9(*), 11, 12, 13(*), [14], 21, 24,

Section 16.2: (Line Integrals) 1, 3, 5(*), 7, 9(*), 11, 12(*), 13, 15(*), 19, 21(*), 29(a), 33(*)

Section 16.3: (Fundamental Theorem for Line Integrals) 1, 3(*), 5, 7(*), 9, 11(*), 13, 15(*), 17(*), 19, 21(*), 23, 25(*), 29

Section 16.4: (Green's theorem) 1, 2, 3(*), 5(*), 6, 7(*), 8, 9(*), 10, 11(*), 12, 13(*), 14, 19(*), 22, 29(*)

Lecture 18: Oct. 29, 2024


Lecture 19-20: Oct. 31, 2024 and Nov. 5, 2024
Note: We did not finish Section 16.5---so while it is in the below notes, you will not be responsible for it for this midterm (but will, of course, for the final)

Section 16.5: (Curl and Divergence) 1, 2, 3(*), 4, 5(*), 6, 7, 8, 9(*), 11, 12 (really, really understand this one), 13(*), 14, 15(*), 16, 17(*), 19(*), 20, 21(*),

Read 16.5, 16.6 and 16.7



Week Eleven: Due Week of Nov 18th

Section 16.5: (in case you didn't do it) 1, 2, 3(*), 4, 5(*), 6, 7, 8, 9(*), 11, 12 (really, really understand this one), 13(*), 14, 15(*), 16, 17(*), 19(*), 20, 21(*),

Section 16.6 (Parameterized Surfaces): 1, 3(*), 5(*), 13(*), 14, 19(*), 20, 21(*), 23(*), 33(*), 35(*), 39(*), 45(*)

Section 16.7 (Integration of Vector Fields over Surfaces): 1, 3(*), 4, 5(*), 6, 7(*), 9(*), 10(*), 11(*), 13(*), 15(*), 17(*), 19(*), 20, 21(*), 23(*), 25(*), 27(*), 29(*), 40

Lecture 21: Nov. 12, 2024

Lecture 22: Nov. 14, 2024

Week Twelve: Due Week of Nov 25th (and yes--you can hand it in on Dec. 2nd)

Section 16.8:(Stokes Theorem) 1, 2, 3(*), 4, 5(*), 7(*), 8, 9(*), 10, 13(*), 14, 16(*)

Section 16.9:(Divergence Theorem) 1, 3(*), 4, 5(*), 6, 7(*), 8, 9(*), 10, 11(*), 12, 13(*), 14, 17(*), 18, 19(*), 24

Write an essay structuring the material in Chapter 16, explaining how to the multidimensional fundamental theorem of calculus, Green's Theorem, Stokes Theorem, and the Divergence Theorem all fit together. This will take some thought and effort--getting it all to make sense is a coherent whole is a challenge--but really worth it. Submit this on gradescope. (Update--the deadline for is Friday, Dec. 6th, 5PM).

Due Week of Dec 9nd

Make a final exam with ten questions, 4 easy, 3 medium, 3 hard.

Make an answer key for your exam.

During the week starting Dec 9nd, find two other people, and e-mail your exam to them.

Do the exams sent to you by Thursday, Dec. 12th.

Arrange to all talk with each other by Friday, Dec 13, comparing notes, and working through the problems.

Lecture 23: Nov. 19, 2024 Lecture 24: Nov. 21, 2024