This is the website for Math 32B (Spring 2014). Additional information may be found on the course's CCLE page.

Course Information

All essential information for the course can be found in the course syllabus. For a general overview of the course as well as a rough schedule of the lecture topics please see the course outline.

Homework Assignments

Homework is collected at the beginning of lecture of the specified day. No late homework will be accepted. Please write your name, ID number, and the homework number on each assignment.

Homework 1 (Due Friday, April 4th):
A. 16.1: pg. 875 1, 9, 19, 25, 29, 35, 37, 41, 43, 45, 48
B. Compute the following indefinite integrals:

  1. (i) \(\displaystyle \int x^5 - 3 x^\frac{3}{2} +\frac{1}{x} + \frac{1}{x^{1/2}}\ dx\)
  2. (ii) \(\displaystyle\int \frac{2x+1}{\sqrt{x^2+x+1}}\ dx\)
  3. (iii) \(\displaystyle\int \sin(\pi x)e^{3x}\ dx\)
  4. (iv) \(\displaystyle\int x^4\ln{x}\ dx\)
C. Compute the following definite integrals (exact answers only):
  1. (i) \(\displaystyle\int_0^{\pi/6} \sin^3(x) \cos(x)\ dx\)
  2. (ii) \(\displaystyle \int_0^2 x^2 e^x\ dx\)
  3. (iii) \(\displaystyle \int_0^{\sqrt{3}/2} \frac{1}{\sqrt{1-x^2}}\ dx\)
  4. (iv) \(\displaystyle \int_{-2}^4 |x|\ dx\)

Homework 2 (Due Friday, April 11th):
16.2 pg. 888 3, 13, 17, 23, 25, 27, 29, 33, 35, 45, 49, 57;
16.3 pg. 900 3, 5, 9, 11, 19, 23, 25, 31;
16.4 pg. 910 1, 3, 7, 11, 13, 17, 21, 23, 25;
Optional but recommended if you haven't seen polar coordinates before:
12.3
pg. 637 3, 5, 7, 11, 13, 17, 19, 27, 29, 32, 35.

Homework 3 (Due Friday, April 25th):
16.4 pg. 912 33, 39, 41, 43, 45, 49, 53;
16.5 pg. 921 3, 5, 7, 11, 13, 19, 23, 27, 29, 45, 47, 53;
16.6 pg. 937 1, 5, 7, 13, 17.

Homework 4 (Due Friday, May 2nd):
16.6 pg. 938 19, 21, 31, 33, 39, 41, 47;
17.1 pg. 950 1, 3, 7, 11, 13-20, 23, 25, 29, 35.

Homework 5 (Due Friday, May 9th):
17.2 pg. 965 9, 11, 17, 21, 25, 29, 41, 45, 51, 59;
17.3 pg. 979 3, 7, 11, 13, 15, 17, 25, 27 (see the ''Conceptual Insight'' box on pg. 977).

Homework 6 (Due Friday, May 23rd):
17.4 pg. 992 1, 3, 7, 9, 13, 17, 23, 29, 41;
17.5 pg. 1003 1, 5, 9, 11, 17, 25;
18.1 pg. 1017 1, 3, 5, 7.

Homework 7 (Due Friday, May 30th):
18.1 pg. 1017 9, 11, 13, 19, 25, 32, 33;
18.2 pg. 1031 1, 3, 5, 7, 9, 11, 13.

Homework 8 (Due Friday, June 6th):
18.2 pg. 1032 17, 19, 21, 23, 25;
18.3 pg. 1044 1, 3, 6, 9, 11, 15, 17, 19, 22, 41.

Midterm Exams

Midterm 1:
Solutions to Midterm 1;
Practice Midterm 1 and solutions.

Midterm 2:
Solutions to Midterm 2;
Practice Midterm 2 and solutions.

Final Exam

Practice Final exam and solutions.