MATH S1003Q.1:
    College Algebra and Analytic Geometry
    Summer 2008
Instructor: Xander Faber

Teaching Assistant: Melanie Busch

Course Coordinates: Monday-Thursday, 12:30-2:55pm, room 203 Mathematics, May 27 - July 3

Text, grading, and success strategies: See below

Announcements:

Lectures and Homework:

 This schedule will be altered as needed during the semester.
Day Topic Chapters Routine Exercises More Exercises
May 26 No Class . . .
May 27 Review of Basic Notions 1.3-1.5, 1.7, 1.8, 1.10 p.55 #3, 15, 19, 21, 47, 57, 96
pp.84-85 #15, 19, 35, 75
p.97 #10(a,b), 45, 81
p.121 #15, 19, 21 		p.55 #27, 41, 65, 70, 75
pp.84-85 #44, 47, 83, 85
p.97 #27, 47, 83, 87
p.121 #26
May 28 Functions and their Graphs / Some Standard Graphs 2.1, 2.2 pp. 155-156 #15, 23, 27, 38, 39, 44, 49, 51, Find the range in #39
pp.167-169 #4, 21, 24, 42, 55, 56, 57 		pp. 155-156 #51, 54, Find the range in #38 and #49
pp.167-196 #17, 65, 81, 82, Find domain and range in #11 and #21
May 29 Proportionality / How Functions Change /
Transformations of Graphs 		1.11, 2.3, 2.4 p.127 #2, 3, 5, 13, 14
pp.179-181 #1, 4, 15, 21
pp.190-192 #11, 15, 17, 18, 21, 23, 33, 39 		p.127 #23
pp.179-181 #27, 35(a,d), 39
pp.190-192 #29, 43, 61, 63
May 30 Extreme Values of Quadratic Functions / Modeling 2.5, 2.6 pp.200-203 #3, 9, 25, 41
pp.210-213 #3, 7, 9, 21, 23 		p.193 #71
pp.200-203 #39, 64, 71, 72
pp.210-213 #13, 27, 29
. . . . .
June 2 Combining Functions / Composition of Functions /
Homework Due
 2.7, 2.8 pp.219-222 #3, 5, 8, 19, 25, 31, 43, 47
pp.230-231 #1-6, 11, 12, 17, 29, 37, 43, 51, 69 		pp.219-222 #38, 53, 57, 64, 65
pp.230-231 #13, 19, 68, 75
June 3 Polynomial Functions / Tricks for finding roots
3.1-3.3 pp.262-264 #3, 5-10, 11, 15, 19, 26
pp.270-271 #1, 3, 5, 9, 19, 55
pp.279-281 #3, 9, 12, 21, 52 		pp.262-264 #31, 65, 73
pp.270-271 #61, 64, 65
pp.279-281 #39, 55, 79
June 4 Complex Numbers
3.4, 3.5 p.289-290 #3, 7, 9, 13, 27, 35, 51, 55, 63
p.298-299 #14, 19, 43 		p.289-290 #65
p.298-299 #35, 59
June 5 Rational Functions
3.6 p.313 #12, 13, 19, 20, 35, 47, 55 p.313 #29, 57, 59
. . . . .
June 9 Exponential and Logarithmic Functions / Homework Due
4.1-4.3 pp.336-340 #7, 16, 17, 19-24, 29, 31, 38
pp.349-352 #3, 5, 7, 11, 13, 17, 18, 23, 27, 31, 39, 41-46, 48, 49, 55, 61, 63
pp.356-357 #1, 4, 5, 12, 15, 19, 23, 35, 36, 42, 47, 51 		pp.336-340 #65, 77(a, c, e, g), 79, 81(b), 83
pp.356-357 #59, 60, 61
June 10 Exponential and Logarithmic Equations / More Modeling
4.4, 4.5 pp.366-367 #3, 11, 13, 27, 31, 36, 43, 45, 49, 54
pp.379-381 #1, 11, 15, 21 		p.367 #51, 52, 67, 68
pp.379-381 #24, 27, 29
June 11 Review
Bring Questions Study Guide .
June 12 Midterm Exam
Chapters 2-4 . .
. . . . .
June 16 Angle Measure / Trigonometry of Right Triangles / Homework Due
 6.1, 6.2 pp.474-478 #1, 8, 14, 19, 25, 29, 34, 43, 49-51, 54, 61, 63
pp.484-486 #2, 5, 7, 11, 21, 23, 28, 31, 45
A calculator should be used for 45. 		p.476 #72
pp.484-486 #43, 47, 56
A calculator should be used for 47, 56
June 17 Trigonometry of Angles / Laws of Sines and Cosines
6.3-6.5 pp.495-497 #1, 5, 7, 21, 23, 25, 29, 32, 33, 36, 44, 47, 51, 53, 57, 58
pp.506-507 #1, 6, 7, 15, 21, 33
pp.513-515 #3, 6, 9, 11, 13, 29, 51
A calculator will be useful for this whole assignment (although not strictly necessary). 		pp.506-507 #30
pp.513-515 #35, 38
June 18 Unit Circle / Trigonometry of Real Numbers
5.1, 5.2 pp.406-407 #7,8,15, 19, 20, 23
pp.416-417 #3-8, 15, 27, 34 		pp.406-407 #31
pp.416-417 #47, 51, 71, 73-75
June 19 Trigonometric Graphs
5.3, 5.4 pp.429-431 #3, 12, 19, 21, 31, 41-48
p.441 #1-6, 17, 28, 31, 36, 46 		pp.429-431 #13, 77
. . . . .
June 23 Trigonometric Identitites / Addition Formulas / Homework Due 7.1, 7.2 pp.533-534 #5, 12, 23, 29, 33, 39, 40, 52
pp.539-541 #5, 7, 13, 25, 28, 32, 37 		pp.533-534 #99
pp.539-541 #39, 41, 44, 45
June 24 More Trig Formulas / Inverse Trig Functions 7.3, 7.4 pp.548-549 #5, 8, 9, 21, 24, 25, 30, 37, 59, 61, 62, 67, 69
pp.557-558 #2-5, 8, 17, 20, 25, 28, 31, 33, 43 		pp.548-549 #43, 45, 49, 51, 74, 90
pp.557-558 #39, 46, 47, 52
June 25 Trigonometric Equations / Polar Coordinates 7.5, 8.1 pp.569-570 #1, 6, 9, 10, 11, 14, 15, 23, 27, 37, 40, 43, 46, 53(a), 56(a)
pp.586-587 #1, 5, 7, 9, 13-20, 23, 25, 34, 41, 45, 46, 47, 51, 55 		pp.569-570 #60, 63, 67
June 26 Graphing Polar Equations / Complex Numbers Redux 8.2, 8.3 pp.594-595 #1-6, 7, 9, 13, 15, 17, 25, 27, 43-46, 47
pp.603-604 #3, 10, 11, 13, 15, 17, 19, 31, 35, 41, 49, 59, 67 		p.595 #51
p.603 #23, 83, 87
. . . . .
June 30 Uber Quiz / Systems of Equations / Homework Due
9.1, 9.2 pp.642-643 #1, 8, 9, 13, 21, 24
pp.649-650 #1, 3, 15, 19, 23 		p.642-643 #16, 48, 49, 55
pp.649-650 #43, 55
July 1 Solving Systems with Matrices
9.4 pp.673-674 #7-13 odd (b,c) only, 17, 21, 25, 27 .
July 2 Review Bring Questions Study Guide .
July 3 Final Exam
. . .

Course Details:

Suggested Prerequisites: Mathematics score of 550 on the SAT exam, taken within the past year.
We recommend the course S0065 as preparation if you have been away from math for some time.

Course description: The text covers the following topics: algebra review, graphs and functions,
polynomial functions, rational functions, conic sections, systems of equations in two variables,
exponential and logarithmic functions, trigonometric functions and trigonometric identities,
applications of trigonometry, sequences, series, and limits. We will cover some subset of these
items to prepare you for a first semester calculus course.

Text: James Stewart, Lothar Redlin and Saleem Watson. Precalculus: Mathematics for Calculus,
5th edition, Brooks Cole, 2007. It's available at the University bookstore. If you choose to
purchase the text online, please be sure that you are getting the 5th edition.

Calculators: The use of calculators will not be allowed during exams or quizzes.
I strongly suggest that you avoid using one while doing your homework in order to properly prepare yourself.

Attendance: I will not formally take attendance. However, precalculus is a language,
and exposure is the best way to become well versed in it. If you must miss a lecture,
it is your responsibility to acquire notes from a fellow student.

Homework: The homework is divided into two kinds of problems: routine and otherwise. I expect you to do
all of them, but it is most important to do the routine problems every night. Homework will be collected each
Monday at the beginning of class. I will not accept late homework under any circumstances.

Quizzes: There will be a very short quiz at the beginning of every class covering the material from the
previous lecture and the routine homework problems. I will drop your three lowest quiz grades.
No makeup quizzes will be given.

Exams: There will be an in-class midterm and an in-class final.

Grading: You can access your homework, quiz, and exam grades at Courseworks.
Your final course grade will be determined by:

I will not administer a makeup exam unless you become direly ill or need to leave town due to the
illness of someone close to you. I will require documentation from the dean of your school justifying the excuse.

Help: Help is available if you have trouble with homework or lecture material. In addition to
TA office hours, my office hours, email contact and appointments, you can also go to the
Mathematics Help Room (406 Mathematics) without an appointment whenever it is open.

Strategy for Success (which I expect):

The most important piece of advice I can give is that you need to do a little studying every day.
Precalculus is a language, and your job is to learn to speak it in 6 weeks! This isn't going to happen if
you try to cram it all in on a Sunday. The best way to learn a language is to practice a little every day.
Do an hour or two every single night, and then fill in the gaps on the weekend. This course will be intense,
and so you must be consistent in your work in order to keep up. And when I say "practice," what I really
mean is "solve problems."

Each day you should do several things. First, you should look through the chapter and the notes covered in
class that day to be sure you have all of the important concepts and formulas committed to memory.
Then, and only then, you should do the routine homework problems assigned during class that day.
You should try to complete the homework without looking back at the examples and formulas in the chapter;
this is the only way to force yourself to learn to use the concepts. Check your answers for the odd problems
in the back of the book. If you didn't get the correct answer, try to figure out why. I find that making mistakes
is actually one of the best way to learn mathematics, provided that you work out what went wrong.

Once you complete the routine problems from the day, you should peruse the topics to be covered in class the
following day. Get a sense for what my lecture is going to be about. You will understand more of the details in
class this way, and you will have a better chance of absorbing the material faster.

Finally, if you have questions, please come to my office hours or go to the Math Help Room . Feedback is good
for your confidence, and it reinforces your good ideas while weeding out your misconceptions.


Back to the beginning