Andrew Critch, MTWRF 12:00pm-2:00pm @ 3107 Etcheverry Hall
Welcome to Math 53! Almost everything in our (seemingly) three dimensional world is described using mutlivariable calculus:
locations, velocities, the weather, the stock market, your vital signs, your mood, what you think of a piece of music,
electromagnetism, fluid dynamics... life without understanding multivariable calculus "is like dancin' on this quicksand
while you're blindfolding the devil in the dark" (a quotation I owe to my highschool math teacher)... all I'm saying is, learn this stuff!
Quick facts:
My office hours are MonWedThu 11:00-11:30am and 2:30-3:00pm in 854 Evans.
Quizzes will be TueFri in class.
Homeworks assigned MonTue are due Thu, and homeworks assigned WedThuFri are due Mon, and must be submitted at the beginning of lecture
in the format described in the Introduction and Policies, which you are required to read.
Due to having fewer interruptions, Wednesday lectures will generally cover more material.
Midterm 1 is Tuesday Jul 14, midterm 2 is Tuesday Jul 28, the final is Friday Aug 14, and all exams will be in our classroom during class.
[5p] [!!] Implicit vs. parametric equations: understanding
and recognizing the difference between using equations implicitly and parametrically.
[8p] [!!] Directional and partial derivatives. Notes from Lecture 9.
I sensed that people aren't as comfortable with this material as I hoped, so I wrote out some expanded notes that I believe will help. Please read these! (The notes are in two parts,
5 and 3 pages, respectively.)
[5p] [!!] Notes on extrema from Lecture 13: a guide to reading Stewart 14.7.
[6p] [!!] Understanding lagrange multipliers. Notes from Lecture 14: a slightly shorter explanation
than the text, but without examples. Please read the examples in the text!
[4p] [$$] Using lagrange multipliers.
Practical advice for solving Lagrange multiplier problems in Math 53, and answers to common questions.