Section 202 meets Tuesdays and Thursdays at 8am in 75 Evans.
Section 204 meets Tuesdays and Thursdays at 9:30am in 75 Evans.
Office hours: Monday 3-4pm and Thursday 11am-12pm in 869 Evans, as well as Tuesday 11am-12pm for challenge problems only.
I will also occasionally monitor Piazza.
We are currently having section and office hours exclusively via Zoom. I am posting more detailed notes and images on this page while we are doing remote classes.
Please see my bCourses announcement for the Zoom meeting ID or email me if you have difficulty calling in.
Quizzes will happen in section on some Thursdays, see the posted timetable (30 minutes long).
Midterm 1 will be Wednesday, February 19 during lecture.
Midterm 2 will be Wednesday, April 8 during lecture.
The final exam will be Tuesday, May 12 from 3-6pm (location TBD).
Student learning center drop-in tutoring in Cesar Chavez Atrium 12pm-4pm Monday through Thursday starting the third week of class.
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).
Various past Math 53 exams.
Even more past Math 53 exams and solutions.
Some study strategies I like using (your mileage may vary):
A review handout on chapter 13 I wrote for a previous semester (note that it covers a couple topics beyond what we have seen; in particular, the binormal vector and the topics from points 14, 15, 16, and 17 in the summary).
A practice quiz on chapter 14 material with solutions. You can submit solutions on gradescope for feedback.
A practice final exam and another practice final exam from last semester. True/false questions (k) through (o) and problems 6,7,15, and 16 on the first exam and true/false questions (k) through (o) and problems 7, 14, 15, and 16 on the second exam cover chapter 16 material. I'll post solutions Friday 5/8. Note that these are copyrighted materials used with permission. Do not repost them on other sites.
Thursday, January 23 -- Introduction; basics of parametric curves | Problems | ||
Tuesday, January 28 -- Calculus with parametric curves; polar coordinates | Problems | ||
Thursday, January 30 -- Calculus with polar curves | Problems | ||
Tuesday, February 4 -- Vectors; the dot product | Problems | ||
Thursday, February 6 -- The cross product, areas, and volumes | Problems | ||
Tuesday, February 11 -- Lines and planes in 3D space; vector-valued functions and calculus with them | Problems | ||
Thursday, February 13 -- Geometric aspects of vector functions; arc length and curvature | Problems | ||
Tuesday, February 25 -- Limits of multivariable functions; partial derivatives | Problems | ||
Thursday, February 27 -- Tangent planes and linear approximation | Problems | ||
Tuesday, March 3 -- Mid-semester survey; the chain rule; directional derivatives and the gradient | Problems | ||
Thursday, March 5 -- More on directional derivatives and the gradient; maxima and mininima of two-variable functions | Problems | ||
Tuesday, March 10 -- Lagrange multipliers; double integrals over rectangles | Problems | Solutions | Zoom whiteboard images |
Thursday, March 12 -- Double integrals over general regions | Problems | Solutions | Zoom whiteboard images |
Tuesday, March 17 -- Strategies for double integrals; applications of double integrals | Problems | Solutions | Zoom whiteboard images |
Thursday, March 19 -- More applications of double integrals | Problems | Solutions | Zoom whiteboard images |
Tuesday, March 31 -- Triple integrals; triple integrals in cylindrical coordinates | Problems | Solutions | Zoom whiteboard images |
Thursday, April 2 -- Triple integrals in polar coordinates | Problems | Solutions | Zoom whiteboard images |
Tuesday, April 7 -- Change of variables | Problems | Solutions | Zoom whiteboard images |
Tuesday, April 14 -- Vector fields and line integrals; the fundamental theorem for vector fields | Problems | Solutions (coming soon) | Zoom whiteboard images |
Thursday, April 16 -- Green's theorem | Problems | Solutions (coming soon) | Zoom whiteboard images |
Tuesday, April 21 -- Curl and divergence; parametric surfaces | Problems | Solutions (coming soon) | Zoom whiteboard images |
Thursday, April 23 -- Surface integrals | Problems | Solutions (coming soon) | Zoom whiteboard images |
Tuesday, April 28 -- Stokes' theorem and the divergence theorem I | Problems | Solutions | Zoom whiteboard images |
Thursday, April 30 -- Stokes' theorem and the divergence theorem II: challenge problems on vector calculus | Problems | Solutions | Zoom whiteboard images |