Math 53 Fall 2020, Sections 201 and 203

Section 201 meets MWF at 8am on Zoom (see bCourses for link and password).

Section 203 meets MWF at 9am on Zoom (see bCourses for link and password).

Office hours: Thursday 11:30am-12:30pm, Friday 10am-11am via Zoom.

Important dates and deadlines

HW will be collected via Gradescope by section time on Mondays.

Quizzes will happen in section on some Mondays. The primary purpose of the quizzes is to make sure you are staying on top of the material.

Midterm 1 was Thursday, September 24 during lecture.

Midterm 2 was Tuesday, November 10 during lecture.

The final exam will be Wednesday, December 16 from 3-6pm.

Final exam study materials

A (possibly slightly hard) practice final written by me, along with solutions.

A few practice final exams written by your peers (shared with permission):

Practice final 1

Practice final 2 and solutions

Practice final 3

There were a lot of good practice problems submitted.

Various past Math 53 exams.

Even more past Math 53 exams and solutions.

Helpful links and other notes

Student learning center offers drop-in tutoring and study groups; full Fall 2020 schedule for Math 53 support has not yet been released

Some useful trigonometric identities.

Desmos, a nice online 3D graphing tool.

My webpage from Fall 2018 in Math 53 (note that it was with a different professor).

My webpage from Spring 2018 in Math 53 (note that it was with a different professor).

My webpage from Summer 2018 in Math 53 (note that as a summer class, I was in charge of the entire course and not just leading discussion sections).

Some optional challenge problems about calculus with functions of a complex variable (like you see in Math 185) and some more about a more general/abstract framework for vector calculus, the language of differential forms.

These are not totally rigorous/complete, but should give a taste of some of the ways the ideas of chapter 16 are similar to/lead to further topics in math.

Some study strategies I like using (your mileage may vary):

Section handouts and screen captures

Friday, August 28 -- Parametric curves; slopes of tangents to them Problems Selected solutions Screen captures
Monday, August 31 -- Calculus with parametric curves Problems Selected solutions Screen captures
Wednesday, September 2 -- Polar coordinates and calculus with polar curves Problems Selected solutions Screen captures
Friday, September 4 -- Vectors, dot and cross products, lines, and planes Problems Selected solutions Screen captures
Wednesday, September 9 -- Vector-valued functions; 3D graphing and level curves Problems Selected solutions Screen captures
Friday, September 11 -- Limits and continuity in multiple variables; partial derivatives Problems Selected solutions Screen captures
Monday, September 14 -- Partial derivatives and limits (No problems) We discussed HW3 Screen captures
Wednesday, September 16 -- Tangent planes; the chain rule Problems Selected solutions Screen captures
Friday, September 18 -- Directional derivatives and the gradient Problems Selected solutions Screen captures
Monday, September 21 -- HW4 review/discussion (No problems) We discussed HW3 Screen captures
Wednesday, September 23 -- Local maxima, local minima, and saddle points Problems Selected solutions Screen captures
Friday, September 25 -- M1 review Screen captures
Monday, September 28 -- M1 review Screen captures
Wednesday, September 30 -- M1 review Screen captures
Friday, October 2 -- Lagrange multipliers Problems Selected solutions Screen captures
Monday, October 5 -- HW6 discussion Screen captures
Wednesday, October 7 -- More Lagrange multipliers practice Screen captures
Friday, October 9 -- Geometric ideas (open, closed, connected, simply-connected) Screen captures
Monday, October 12 -- Preparation for multiple integrals Problems Selected solutions Screen captures
Wednesday, October 14 -- Double integrals Problems Selected solutions Screen captures
Friday, October 16 -- Double integrals in polar coordinates and for surface area Problems Selected solutions Screen captures
Monday, October 19 -- HW7/HW8 review/discussion Screen captures
Wednesday, October 21 -- Triple integrals Problems Selected solutions Screen captures
Friday, October 23 -- Triple integrals in cylindrical and spherical coordinates Problems Selected solutions Screen captures
Monday, October 26 -- HW9 review/discussion Screen captures
Wednesday, October 28 -- Vector fields and line integrals Problems Selected solutions Screen captures
Friday, October 30 -- Conservative vector fields, the fundamental theorem for line integrals Problems Selected solutions Screen captures
Monday, November 2 -- HW10 review/discussion Screen captures
Wednesday, November 4 -- Green's theorem Problems Selected solutions Screen captures
Friday, November 6 -- Midterm review A review handout Solutions Screen captures
Monday, November 9 -- Midterm review Screen captures
Friday, November 13 -- More curl and divergence; parametric surfaces Problems Selected solutions Screen captures
Monday, November 16 -- HW12 review/discussion Screen captures
Wednesday, November 18 -- Surface integrals; intro to Stokes' theorem Problems Selected solutions Screen captures
Friday, November 20 -- Stokes' theorem and the divergence theorem Problems Selected solutions Screen captures
Monday, November 23 -- HW13 discussion Screen captures
Monday, November 30 -- HW13 discussion Screen captures
Wednesday, December 2 -- More on Stokes' theorem and the divergence theorem Problems Selected solutions Screen captures
Friday, December 4 -- Setting up multiple integrals Problems Selected solutions Screen captures
Monday, December 7 -- Review: MT1 material Screen captures
Wednesday, December 9 -- Review: MT2 material Screen captures
Friday, December 11 -- Review: time for questions Screen captures

Quizzes

Quizzes happen 8:50-9:00 and 9:50-10:00 (with an extra 5 minutes for Gradescope submissions) approximately every two weeks in section.

Problems will be visible on Gradescope and at the links below at the start of the quiz.

I will drop the lowest quiz grade and do some renormalization if my two sections have very different quiz averages over the course of the semester.

I recommend trying the other section's quiz for practice.

Quiz 1 - Wednesday, September 9 201 Problems 201 Solutions 203 Problems 203 Solutions
Quiz 2 - Monday, September 21 -- covers Chapter 13 and sections 14.1-14.6 201 Problems 201 Solutions 203 Problems 203 Solutions
Quiz 3 - Monday, October 5 -- covers sections 14.7 and 14.8 201 Problems 201 Solutions 203 Problems 203 Solutions
Quiz 4 - Monday, October 19 -- covers sections 15.1 through 15.5 201 Problems 201 Solutions 203 Problems 203 Solutions
Quiz 5 - Monday, November 2 -- covers sections 15.6 through 16.3 201 Problems 201 Solutions 203 Problems 203 Solutions
Quiz 5 Makeup - Wednesday, November 4 -- covers sections 15.6 through 16.3 201 Problems 201 Solutions 203 Problems 203 Solutions
Quiz 6 - Monday, November 16 -- covers sections 15.4 through 16.6 201 Problems 201 Solutions 203 Problems 203 Solutions
Quiz 7 - Monday, November 30 -- covers sections 16.7 through 16.9 201 Problems 201 Solutions 203 Problems 203 Solutions