Back to main page Math 53: Multivariable Calculus (Fall 2021)

Announcements

8/26 The links that we will use for voting on HW problems to be presented in discussion are 116 (4pm section in Evans 81) and 118 (5pm section in Evans 71). Please use the one for your section only!

Contents of this page

This semester, I am teaching two discussion sections (116 and 118) of Math 53 with Norman Sheu. This page is still very work-in-progress...

Section Meeting Times Location
21732 Lecture 001 TuTh 17:00-18:30 Pimentel 1
21808 Discussion 116 MoWeFr 16:00-17:00 Evans 81
23638 Discussion 118 MoWeFr 17:00-18:00 Evans 71
My office hours TBA Evans 1093
Other office hours (Norman, other GSIs) TBA TBA

Links

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Here are some useful links for this course:
  • Norman Sheu's page for this course
  • bCourses
  • Gradescope

    Homework

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    Homework should be handed in physically during Friday discussions. For each homework, I will pick 5 problems at random to grade for correctness (of approach, not just the final answer---the final answer can be seen in the back of the book after all). If you are physically unable to come to section then you can email me your homework instead, but this should be treated as a last resort. I will (try to) return homework in section the Monday after they are due. Your lowest two homework grades will be dropped.

    As a change from previous times I've GSI'd for this course, we will not be having weekly quizzes. However, there will be "discussion participation" for up to 3% extra credit (c.f. Dr. Sheu's page for the course). I will loosely base this off of attendance, and presentation of homework problems in discussion. "Loosely" here means that it is totally fine if you miss discussion occasionally.

    Materials

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    Week 1

    Corresponding Content and Comments Materials
    #1 8/26 Cartesian and parametric equations. Unified perspective on applying transformations. Worksheet and answers.

    Week 2

    Corresponding Content and Comments Materials
    #2 8/29 More on parametric curves. Worksheet and answers.
    #3 8/31 Areas and arclength for parametric curves. Worksheet and answers.
    #4 9/02 Polar coordinates. Worksheet and answers.

    Week 3

    Corresponding Content and Comments Materials
    9/05 No class.
    #5 9/07 Polar, continued. Worksheet and answers.
    #6 9/09 Conics and intro to 3D. Worksheet and answers.

    Week 4

    Corresponding Content and Comments Materials
    #7 9/12 More of the preceding. Worksheet and answers.
    #8 9/14 Dot product and cross product. Worksheet and answers.
    #9 9/16 Lines and planes. Worksheet and answers.

    Week 5

    Corresponding Content and Comments Materials
    #10 9/19 Miscellaneous review. No handout
    #11 9/21 Exam retrospective.
    #12 9/23

    Week 6

    Corresponding Content and Comments Materials
    #13 9/26 Vector functions. Worksheet and answers.
    #14 9/28 Limits. Worksheet and answers.
    #15 9/30 Partial derivatives. Worksheet and answers.

    Week 7

    Corresponding Content and Comments Materials
    #16 10/3 Partial derivatives, continued. Handout was HW problems only.
    #17 10/5 Tangent planes and linear approximations. Worksheet and answers.
    #18 10/7 More tangent planes. Worksheet and answers.

    Week 8

    Corresponding Content and Comments Materials
    #19 10/10 Local extrema. Worksheet and answers.
    #20 10/12 Constrained optimization examples. No handout
    #21 10/14 Chapter 14 review Worksheet and answers.

    Week 9

    Corresponding Content and Comments Materials
    #22 10/17 More exam review. No handout
    #23 10/19 Exam retrospective, and some iterated integrals. No handout
    #24 10/21 Double and triple integrals. Worksheet and answers.

    Week 10

    Corresponding Content and Comments Materials
    #25 10/24 Triple integrals. Worksheet and answers.
    #26 10/26 Triple integrals in cylindrical. Worksheet and answers.
    #27 10/28 Spherical coordinates. No handout

    Week 11

    Corresponding Content and Comments Materials
    #28 10/31 Change of coordinates. Worksheet and answers.
    #29 11/2 Line integrals, and a summary of ideas for integration (as well as a preview of where we're headed). No handout
    #30 11/4 A line integral example demonstrating FTLI / path-independence. Worksheet and answers.

    Week 11

    Corresponding Content and Comments Materials
    #31 11/7 More line integrals and FTLI. Worksheet and answers.
    #32 11/9 Green's Theorem examples. No handout
    11/11 No class.

    Week 12

    Corresponding Content and Comments Materials
    11/14 If the strike occurs, there will not be discussions this week.
    11/16
    11/18