Course: Math 32, Precalculus
Lecture: MWF 8:10-9:00 in 9 Lewis
Section 101: MW 11:10-12:00 in 9 Evans
Section 102: MW 12:10-1:00 in 9 Evans
Instructor: Alex Kruckman
kruckman@math.berkeley.edu
Office hours: Fridays 11:00-1:00 in 775 Evans
GSI: Adam Lesnikowski
adam@math.berkeley.edu
Office hours: Mondays 9:30-10:30am, Fridays 2-3pm in 710 Evans
Textbook: Precalculus: A Prelude to Calculus, First Edition, by Sheldon Axler.
- Please be sure to buy the first edition (which has a grey cover), not the newer second edition (which has a red cover).
- You can get a significant discount (more than half off!) if you purchase the textbook through the Wiley direct-to-student site:
http://www.wiley.com/WileyCDA/Section/id-811889.html
Enrollment: Unfortunately, I do not have control over the course roster. If you are waitlisted or need to switch sections, you have to wait for something to open up and make the change yourself on Telebears. You may only switch into a section with free seats, and you must attend the section for which you are registered.
Assignments and Grading: Your grade for the course will be based on homework and quizzes, two midterms, and a final.
10% - Homework
20% - Quizzes
20% - Midterm 1
20% - Midterm 2
30% - Final Exam
Homework: Homework is due most Wednesdays (see schedule). Hand it in to your GSI at the beginning of section self-graded (see below).
Your lowest homework score will be automatically dropped at the end of the semester. No late homework will be accepted.
Self-grading policy: When you hand in your homework, write a whole number (no half points) 1-3 clearly at the top of the first page.
0: You'll get a 0 if you don't turn the homework in.
1: I only did a small number of problems, or I put very little effort into the homework.
2: I put some effort into the homework, but I skipped some problems.
3: I made a serious attempt at all of the problems.
Please be honest. The difference between a 1, a 2, and a 3 will be quite clear to your GSI.
Quizzes: Quizzes will be given in section most Wednesdays (see schedule). Quizzes will be 10 minutes long, will be graded out of 6 points, and will consist of two questions taken directly from the homework.
Your lowest quiz score will be automatically dropped at the end of the semester. No make-up quizzes will be given.
Exams: The midterm exams will be 50 minutes each, held in class on Friday 3/1 and Friday 4/5. The final exam will be 3 hours, held Monday 5/13 8-11am in Hearst Gym, Room 220.
Please be sure you can attend the exams! No make-up exams will be given for any reason. However, if your (percentage) score on the final is better than your (percentage) score on one of the midterms, your lowest midterm score will be automatically replaced by your score on the final at the end of the semester.
A note on calculators: No calculators (or cheat sheets) will be allowed (or necessary!) on quizzes or exams. I will avoid assigning homework problems which require a calculator, but you may sometimes find that a calculator is useful for checking your work or doing a decimal approximation. If you don't have a physical calculator, I recommend Wolfram|Alpha, which knows a surprising amount of math.
Where to get help: This course will be challenging! Here are some resources.
Special arrangements: Some of the grading policies above may be adjusted in the case of extended medical absence.
If you have special testing arrangements through DSP, talk to me as soon as possible. I will need at least a week to set up alternative testing arrangements.
Schedule: The course consists of three units, loosely organized around three classes of functions.
The lecture schedule is approximate - we may get ahead or behind. But the assignment due dates and exam days will not change.
| Date: | Lecture Topic: | Homework/Quiz/Exam: |
| Wednesday 1/23 | Introduction and 0.1 - The Real Line | |
| Friday 1/25 | 0.2 and 0.3 - Algebra of Real Numbers and Inequalities | |
| Monday 1/28 | 1.1 - Functions | |
| Wednesday 1/30 | 1.2 - The Coordinate Plane and Graphs | Homework and Quiz #1: 0.1-3 |
| Friday 2/1 | 1.3 - Function Transformations and Graphs | |
| Monday 2/4 | 1.4 - Composition of Functions | |
| Wednesday 2/6 | 1.5 - Inverse Functions | Homework and Quiz #2: 1.1-3 |
| Friday 2/8 | 1.6 - A Graphical Approach to Inverse Functions | |
| Monday 2/11 | 2.1 - Linear Functions and Lines | |
| Wednesday 2/13 | 2.2 - Quadratic Functions and Parabolas | Homework and Quiz #3: 1.4-6 |
| Friday 2/15 | 2.3 - Integer Exponents | |
| Monday 2/18 | No class | |
| Wednesday 2/20 | 2.4 - Polynomials (Part 1) | Homework and Quiz #4: 2.1-3 |
| Friday 2/22 | 2.4 - Polynomials (Part 2) | |
| Monday 2/25 | 2.5 - Rational Functions | |
| Wednesday 2/27 | Midterm review | Homework and Quiz #5: 2.3-5 |
| Friday 3/1 | Midterm 1 (in class) | Midterm 1: Chapters 0, 1, and 2 |
| Monday 3/4 | 3.1 - Rational and Real Exponents | |
| Wednesday 3/6 | 3.2 - Logarithms as Inverses of Exponentiation | No Homework, No Quiz |
| Friday 3/8 | 3.3 - Algebraic Properties of Logarithms | |
| Monday 3/11 | 3.4 - Exponential Growth | |
| Wednesday 3/13 | 3.5 - Additional Applications of Exponents and Logarithms | Homework and Quiz #6: 3.1-3 |
| Friday 3/15 | 4.1 - Distance, Length, and Circles | |
| Monday 3/18 | 4.2 - Areas of Simple Regions | |
| Wednesday 3/20 | 4.3 - e and the Natural Logarithm | Homework and Quiz #7: 3.4-5, 4.1 |
| Friday 3/22 | 4.4 - Approximations with e and ln | |
| Monday 3/25 | No class (spring break) | |
| Wednesday 3/27 | No class (spring break) | No Homework, No Quiz |
| Friday 3/29 | No class (spring break) | |
| Monday 4/1 | 4.5 - Exponential Growth Revisited | |
| Wednesday 4/3 | Midterm review | Homework and Quiz #8: 4.2-5 |
| Friday 4/5 | Midterm 2 (in class) | Midterm 2: Chapters 3 and 4 |
| Monday 4/8 | 5.1 and 5.2 - The Unit Circle and Radians | |
| Wednesday 4/10 | 5.3 - Cosine and Sine | No Homework, No Quiz |
| Friday 4/12 | 5.4 - More Trigonometric Functions | |
| Monday 4/15 | 5.5 - Trigonometry in Right Triangles | |
| Wednesday 4/17 | 5.6 - Trigonometric Identities | Homework and Quiz #9: 5.1-4 |
| Friday 14/19 | 5.7 - Inverse Trigonometric Functions | |
| Monday 4/22 | 5.8 - Inverse Trigonometric Identities | |
| Wednesday 4/24 | 6.1 - Using Trigonometry to Compute Area | Homework and Quiz #10: 5.5-7 |
| Friday 4/26 | 6.2 - The Law of Sines and the Law of Cosines | |
| Monday 4/29 | 6.3 - Double-Angle and Half-Angle Formulas | |
| Wednesday 5/1 | 6.4 - Addition and Subtraction Formulas | Homework and Quiz #11: 5.8, 6.1-2 |
| Friday 5/3 | 6.5 - Transformations of Trigonometric Functions | |
| Monday 5/13 | Final Exam: 8-11am (in Hearst Gym, Room 220) | Final Exam: Chapters 0-6 |
Homework assignments:
Section 0.1 - 3, 9, 10
Section 0.2 - 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 41, 43, 44, 45
Section 0.3 - 2, 4, 6, 8, 12, 16, 18, 22, 26, 30, 32, 36, 40, 43, 44
Section 1.1 - 2, 4, 6, 10, 16, 20, 24, 28, 30, 34, 36, 38, 40, 46, 50, 52, 54, 56, 60, 62, 63, 66, 67
Section 1.2 - 12, 20, 26, 28, 30, 32, 45, 46, 47
Section 1.3 - 16, 20, 24, 28, 32, 36, 40, 44, 48, 50, 56, 58, 59
Section 1.4 - 2, 6, 10, 12, 14, 18, 26, 30, 32, 34, 38, 42, 45, 48, 49, 50
Section 1.5 - 2, 8, 14, 16, 18, 20, 30, 31, 32, 33
Section 1.6 - 26, 28, 30, 32, 34, 36, 37, 38, 39
Section 2.1 - 4, 6, 8, 10, 12, 26, 30, 34, 38, 41, 42, 43, 44, 45, 46, 54
Section 2.2 - 2, 6, 10, 14, 18, 28, 30, 32, 34, 36, 45, 47, 49, 51
Section 2.3 - 2, 4, 6, 10, 14, 16, 20, 22, 26
Section 2.3 - 32, 34, 38, 42, 44, 52, 54, 64, 65
Section 2.4 - 2, 6, 10, 14, 16, 18, 20, 22, 24, 26, 28, 35, 39, 40
Section 2.5 - 2, 20, 30, 32, 34, 38, 40, 46
Plus the three exercises in this supplemental handout: Graphing Polynomials
Section 3.1 - 2, 4, 6, 8, 24, 26, 32, 34, 36, 38, 40, 44
Section 3.2 - 2, 6, 10, 14, 18, 20, 38, 42, 46, 50, 60, 62
Section 3.3 - 12, 14, 20, 22, 24, 26, 28, 30, 34, 36, 38
Section 3.4 - 4, 14, 16, 20, 22, 24, 32, 35
Section 3.5 - 2, 4, 6, 8, 10, 12, 18, 31, 32, 34
Section 4.1 - 2, 4, 6, 10, 12, 14, 18, 20, 24, 26, 32, 38, 49, 51
Section 4.2 - 2, 6, 10, 12, 14, 16, 18, 20, 26, 28, 30, 34, 40, 49, 56
Section 4.3 - 8, 14, 16, 18, 20, 22, 28, 34, 36, 44, 48
Section 4.4 - 2, 6, 10, 14, 22, 34
Section 4.5 - 2, 4, 6, 8, 12, 14, 16, 28, 38
Section 5.1 - 4, 6, 16, 18, 22, 24, 32
Section 5.2 - 2, 6, 10, 14, 18, 24, 26, 30, 32
Section 5.3 - 2, 4, 6, 8, 10, 12, 16, 20, 22, 24, 28, 35, 37, 38
Section 5.4 - 2, 4, 12, 24, 28, 32, 37, 38, 39, 40
Section 5.5 - 2, 4, 6, 8, 10, 12, 14, 50, 52, 54, 56, 58, 60, 62, 78, 80
Section 5.6 - 6, 10, 14, 22, 24, 26, 28, 32, 36, 67, 69, 70, 78
Section 5.7 - 2, 4, 6, 10, 14, 18, 20, 22, 23, 29, 30
For the problems with the calculator icon, I prefer that you express your answer in terms of inverse trig functions, rather than approximating the answers with a calculator.
Section 5.8 - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 35
Section 6.1 - 4, 8, 10, 16, 20, 22, 26, 28, 30, 32, 34, 36, 38, 39, 40, 43, 44, 45, 46, 47
Section 6.2 - 4, 8, 12, 14, 16, 21, 26, 27, 31
Section 6.3 - 10, 12, 14, 16, 18, 20, 22, 24, 26, 64, 66, 68, 70, 72, 83, 85
Section 6.4 - 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 38, 40, 41, 46, 47
Section 6.5 - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 68, 70, 72, 74
Practice Exams / Resources:
Note: In Fall 2012, we did not cover rational functions before Midterm 1, so this topic appears on the practice second midterms, instead of on the practice first midterms. This semester, rational functions will be covered on Midterm 1.