Summer Bridge Math 31b Course Information
Course website: http://www.math.ucla.edu/~cjao/summer_bridge_31b.html
Instructor: Casey Jao
AEW Assistant: Fernando Pacheco
Location: Boelter 5272 (lectures and exams), MS 3915D (AEW)
AEWs: AEWs will take place on Tuesdays and Thursdays from 10-12. We will work through various
examples and exercises to reinforce the material covered in the lectures.
Textbook: Single Variable Calculus, (2nd ed) by J. Rogawski. This is the standard textbook for Math
31b at UCLA.
Grading: Your grade will be based on four homeworks (40%) and two exams (30% each).
HW Policy: HW will be due Wednesdays and Fridays at the start of class. Late HW will receive at
most half credit; this policy is intended to encourage you to avoid falling behind.
You are encouraged to work on problems together after putting in an honest effort by yourself. However,
you should write up your answers independently. There is no point in writing down an answer unless you
can explain how to obtain it to anyone who asks. You will only get out what you put into the course.
Please explain all your steps in your writeups. A bare number for an answer with no accompanying
explanation may receive little or no credit.
Prerequisites: Familiarity with basic differentiation and integration, including (both forms of) the
fundamental theorem of calculus. You should also be comfortable manipulating exponentials, logs, and trig
functions without a calculator. This course will rarely ask you to compute the decimal value of such functions
except in special cases that you should know off the top of your head (such as the value of cos(π/3)). The
properties of these functions (such as the fact that 2x+y = 2x 2y ) are more important and interesting than
their values at some random point like 21.33 .
Topics: We will cover the material corresponding roughly to the first eight lectures on the official Math
31b syllabus (see http://www.math.ucla.edu/ugrad/courses/math/31B). This includes: inverse functions,
exponentials, logarithms, L’Hopital’s rule, and various integration techniques.
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