Joseph Breen

• 1E: Tuesday 10-11 in DODD 167
• 1F: Thursday 10-11 in WGYOUNG CS76 (This is a large lecture hall with plenty of room. Anyone is welcome and encouraged to attend for additional 31B wisdom!)

• OFFICE HOURS: Monday 11:30-1, Thurday 1:30-3 (Both in my office, MS 3915C)
• SMC: Wednesday 11-12 in MS 3974 (My official SMC time slot is 11-12, but in general I will try to be there from 11:00-12:30)

• Extra practice problems:
• Extra challenging integral problems.
• Extra challenging sequence and series problems.
• Extra challenging power series and Taylor series problems.
• Additional practice problems in solving differential equations with power series.
• Miscellaneous links and notes:
• A pdf of the 4th edition of the textbook.
• Topics in Integration and Infinite Series (work in progress) This is manuscript detailing a number of supplemental topics and techniques in the world of integrals and infinite series. There is (or will eventually be) a lot of fun and fascinating stuff in here, if you're curious. The reason why I have this in the "helpful" section is because the first chapter acts as a review of the standard Math 31B curriculum. It may be empty at the time you are reading this, but throughout the quarter I will write notes on the material in the course and add them to the first chapter.
• My version of an infinite series convergence flowchart.
• A collection of well-written "model" solutions for most types of 31B problems.
• Casual notes on computing Taylor polynomials and series with some standard examples worked out.
• Casual notes on the intuition behind whether a series converges or diverges.

• Here is a link to a lecture I gave in the UCLA Math graduate student seminar where I did a really insane integral.
• Two very challenging calculus problems. One of them is the integral from the above lecture, and the other is a really hard infinite series.

Math 32A: Calculus of Several Variables (Winter 2020)

• 3C: Tuesday 12-1 in BUNCHE 3143
• 3D: Thursday 12-1 in MS 5118 (Note that this room is different than the initial room assignment!)

• OFFICE HOURS: Monday 1-2:30, Thurday 3-4:30 (Both in my office, MS 3915C)
• SMC: Wednesday 11-12 in MS 3974 (My official SMC time slot is 11-12, but in general I will try to be there from 11:00-12:30)

• Extra practice problems:
• Plane practice problems. Practice problems for finding equations of planes, solutions included. This collection includes just about every standard type of question, as well as some fun and challenging extra problems.
• A large collection of practice problems corresponding to different categories in 32A. This set of problems is most relevant for the second midterm. Here is a link to extensive solutions to all problems.
• Practice problems for minimization, maximazation, and Lagrange multipliers.
• Miscellaneous notes:
• A pdf of the 4th edition of the (multivariable) textbook.
• A review study guide for most of the main topics in class. These notes are very brief and should not be a replacement for reading the textbook, attending lectures, etc. Also, I wrote this study guide a long time ago for a comparable class at a different institution. The exact material covered may be slightly different!
• Some casual notes explaining the dot product and cross product. Again, these notes were written a long time ago --- sorry if the quality is subpar!
• Four different ways to find the distance from a point to a plane.

Helpful links for courses I am not teaching right now: