Math 32 (ccn: 54152)

Spring 2010
MWF 8:10-9am

60 Evans

Contact Information:
Rob Bayer
rbayer@math.berkeley.edu (Or you can send anonymous feedback from here)
1095 Evans

Announcements:

Office Hours:  Mondays 2-3pm, Tuesdays 1-2pm, Fridays 9:30-10:30am, or by appointment (my schedule is available here)

Enrollment: If you are waitlisted or need to switch sections, I sadly cannot help.  To switch sections, you can do it yourself on TeleBears.  Keep in mind that you can only switch into a section with free seats, and you MUST attend the section for which you are registered.  If you are waitlisted, please drop me an email and I will put you in touch with the right people.

Other Info: Information about grading, homeworks, quizzes, midterms, etc can be found as part of the course syllabus.

Calendar:

Solutions/handouts will be added to this calendar as time goes on, so check back often. Also, while I may change some things from time to time, I promise to announce any changes in class.

Week
Day Date Sections Lecture Topic Homework, Quizzes, etc.
1
W
1/20

Course Overview, Review

F
1/22
1.2, 1.3
Sets of Numbers, Absolute Value

2
M
1/25
1.4, 1.6 Graphing, Distance, Equations of Lines 1.2: 1-10, 25, 28, 41, 48, 61
1.3: 3, 5, 10, 15, 25, 55, 63, 69, 71
W
1/27
1.7, 2.1
Completing the Square: Circles, Parabolas, and The Quadratic Formula
Quiz 1: Review, 1.2-1.3
F
1/29
2.1, 2.2
Quadratic Formula (cont.), substitutions & reducing to simpler equations

3
M
2/1
2.3, 1.1
Solving Inequalities, Intervals 1.4: 7, 9, 13, 18, 19, 27, 32
1.6: 11, 13, 17, 25, 33, 35, 43, 48
1.7: 39, 41, 43, 45, 47, 53
2.1: 1-5, 11-14, 33, 35, 39, 42, 57
2.2:  1, 3, 10, 16, 19, 25, 35, 45, 61, 63, 71, 75
W
2/3
2.4
More Inequalities Quiz 2: 1.4-2.2
F
2/5
3.1
Functions, Domain & Range

4
M
2/8
3.2, 3.3
Graphs of Functions
1.1: 1, 7, 11-15, 45-49
2.3: 1-8, 13, 21, 27, 39, 40
2.4: 1, 5, 9, 11, 31, 36, 45, 47, 57, 79
3.1: 1-8, 9, 15, 19, 21, 23, 29, 31, 49, 55
W
2/10
3.4
New Graphs from Old
Quiz 3: 1.1, 2.3, 2.4, 3.1
F
2/12
3.4, 3.5
Graphing (cont.), Function Composition

5
M
2/15
No Class
President's Day

W
2/17
3.6
Inverse Functions
3.2: 1, 5, 7, 11, 17, 23, 29
3.3: 1, 3, 9, 11, 21, 41, 43
3.4: 1, 3, 13, 17, 23, 33, 37, 54, 59, 62
3.5: 1, 9, 11, 15, 17, 19, 23, 27, 43, 45
(No Quiz)
F
2/19

Review

6
M
2/22

Midterm 1: Chapters 1-3
(No Discussion Sections on this day)
Review Problems
Fall 2009 Midterm 1 (Solutions)
3.6: 1, 3, 7, 9, 13, 15, 17, 23, 25, 33, 34, 45, 47, 50
Midterm Solutions
W
2/24
4.4
Modeling with functions (No Quiz)
F
2/26
4.2, 4.5
Maximizing/Minimizing Quadratic Equations
7
M
3/1
4.6
Polynomial Functions
4.2: 5, 11, 17, 23, 27, 43, 57, 59
4.4:  1, 3, 13, 21, 33, 37, 41, 45, 53, 55
4.5: 3, 7, 13, 15, 23, 29, 45, 47, 52
W
3/3
4.7
Rational Functions
Quiz 4: 4.2, 4.4, 4.5
F
3/5
5.1
Exponential Functions

8
M
3/8
5.6, 5.2
Compound Interest (intro) & The Number "e"
4.6: 5, 11, 17-24, 27, 35, 39
4.7: 9, 15, 27, 29, 31, 39, 41, 45
5.1: 3-10, 11, 15, 16, 17, 25, 27, 39, 47
W
3/10
5.3, 5.4
Logarithms & Log Laws
Quiz 5: 4.6, 4.7, 5.1
F
3/12
5.5 Solving Equations With Logs and Exponentials
9
M
3/15
5.6, 5.7 Compound Interest (cont.), Exponential Growth & Decay 5.2: 1-7, 11, 17, 35, 39, 42, 61
5.3: 3, 5, 6, 17, 21, 23, 25, 31, 47, 61, 69
5.4: 1, 5, 9, 11, 15, 19, 21, 43, 45, 57, 59, 63, 75, 82
5.5: 1, 3, 11, 17, 23, 35, 43, 53, 55, 61, 67, 69, 77, 93
W
3/17
6.1, 6.2 Trigonometry of Triangles Quiz 6: 5.2-5.5
F
3/19
6.3
Applications of Right Triangles

Spring Break
10
M
3/29
6.4
The Unit Circle, Non-acute angles
5.6: 1, 7, 17, 23, 25
5.7: 1, 9, 15, 31, 35, 45, 47, 53
6.1: 1, 5, 11, 25, 29, 41
6.2: 13, 15, 19, 21, 23, 25, 27, 35, 43,  53,  57
6.3: 1, 3, 5, 11, 15, 17, 31, 33, 39ab
W
3/31
6.5
Trig Identities I Quiz 7: 5.6, 5.7, 6.1-6.3
F
4/2
Review


11
M
4/5

Midterm 2: Chapters 4-6
(No Discussion Sections today)
Review Problems
Fall 2009 Midterm Solutions
6.4: 1, 3, 5, 9, 13, 41, 43, 45, 53, 59, 67, 69bc
6.5: 1, 3, 15, 17, 21, 25, 29, 31, 33, 35, 37, 39, 41, 46

Midterm Solutions
W
4/7
7.1, 7.2
Radians
(No quiz)
F
4/9
7.3
Trigonometry of Real Numbers 
12
M
4/12
7.4, 7.5, 7.7 Graphs of Trig Functions 7.1: 1, 5, 7, 9, 31, 33, 37, 41, 43
7.2: 1, 5, 11, 13, 29, 31, 33, 37
7.3: 1, 3, 7, 23, 27, 37, 41, 43, 47, 51, 54
W
4/14
8.1-8.3 Trig Identities II
(Please don't worry about memorizing all of these--you will be given this formula sheet for the final)
Quiz 8: 7.1-7.3
F
4/16
8.5 Inverse Trig Functions
13
M
4/19
8.4 Solving Trigonometric Equations 7.4: 1, 3, 7, 9, 11, 13, 15
7.5: 1, 5, 13, 21, 25, 31, 33a, 53
7.7: 1, 7, 9, 21, 35, 43
8.1: 1, 5, 11, 17, 27, 33, 41, 51, 55, 65
8.2: 1, 3, 13, 15, 29, 35, 41, 47
8.3: 7, 11, 17, 35, 37, 41
8.5:  1, 3, 13, 19, 22, 25, 27, 29, 33, 35, 43, 57, 59, 63
W
4/21
12.1, 12.2
Complex Numbers, Polynomial Division
Quiz 9: 7.4, 7.5, 8.1-8.3, 8.5
F
4/23
12.3, 12.4
Remainders, Factors, Fundamental Theorem of Algebra

14
M
4/26
12.5, 12.6
Solving Polynomial Equations
(Note: skip the Upper & Lower Bound Theorem, the Location Theorem, and Descarte's Rule of Signs)
8.4: 5, 11, 15, 19, 21, (ignore interval requirements, use radians, and don't use a caluclator for 35, 39, 47, 49, 75, 77)
12.1: 2, 3, 9, 11, 17, 21, 25, 43, 45, 53, 55, 68b
12.2: 1, 3, 11, 21, 25, 33, 39, 41, 45, 49, 53, 55, 57
12.3: 1, 3, 15, 17, 19, 21, 23, 27, 29, 31, 33, 37, 47, 49, 51, 61
12.4: 1, 3, 4, 11, 13, 15, 17, 19, 21, 31, 35, 41
W
4/28
12.6
Solving Polynomial Equations (cont)
Quiz 10: 8.4, 12.1-12.4
F
4/30

Review
12.5: 1, 3, 5, 6, 11, 17, 25, 41 (optional but interesting), 49
12.6: 1, 2, 3, 7, 15, 17, 45 (optional but interesting),
Review Problems
Fall 2009 Final Exam Solutions

Final Exam Solutions

Final Exam: Monday, May 10 from 8-11am in 230 Hearst Gym. Covers entire course, with an emphasis on material after the second midterm.