Professor: Dr. Michael Christ
Course Website: math.berkeley.edu/~mchrist/Math1B/homepage.html
Sections: 309, 310
GSI: Bryan Gillespie
Email: bgillespie@berkeley.edu
Office: 850 Evans
Office Hours: Monday, 5:00p - 6:00p; Friday, 3:00p - 4:00p
Anki
A very useful general study aid is the free and open source flash card program Anki. Anki makes use of a learning technique called spaced repetition to algorithmically determine how often to review a piece of material to maximize retention and minimize time spent reviewing.
Over the course of the semester, I'll be posting some decks of flash cards to aid you in memorizing facts and theorems that may be useful to your work in the course. But a word of warning! Don't let rote memorization take the place of deeper understanding of the course material, as there will be plenty of instances where memorized facts won't be enough to solve a problem.
In order to install these decks:
Anki Flash Card Decks:
A primary component of the section will be group work on problems related to the course material. Here I will post the worksheets we look at in class, along with selected solutions and solution sketches.
| #: | Dates: | Topics: | Worksheet: | Select Solutions: |
| 1 | Jan. 20 | Integration by Parts and Trigonometric Integrals | ||
| 2 | Jan. 23 | Trigonometric Substitution | ||
| 3 | Jan. 30 | Integration by Partial Fractions and Other Substitutions | ||
| 4 | Feb. 3 | Numerical Integration and Improper Integrals | ||
| 5 | Feb. 22 | Sequences and Series | ||
| 6 | Feb. 27 | Comparison, Ratio, and Root Tests; Alternating Series | ||
| 7 | Mar. 5 | Power Series | ||
| 8 | Mar. 9 | Series Representations of Functions | ||
| 9 | Mar. 12 | Taylor and Maclaurin Series | ||
| 10 | April 2 | Separable Differential Equations | ||
| 11 | April 9 | More Differential Equations | ||
| 12 | April 16 | Complex Numbers and Nonhomogeneous Linear Equations | ||
| 13 | April 20 | Damped Harmonic Motion and Series Solutions |
We will have five quizzes over the course of the semester, each occuring on a Friday, during the second half of the section meeting. The dates are listed below, and solutions will be posted after the quizzes have been administered.
| #: | Date: | Solutions: |
| 1 | Jan. 27 | Section 309 Section 310 |
| 2 | Feb. 10 | Section 309 Section 310 |
| 3 | March 2 | Section 309 Section 310 |
| 4 | March 16 | Section 309 Section 310 Makeup |
| 5 | April 13 | Section 309 Section 310 |