College Algebra
Welcome to College Algebra
Mathematics 102 is an algebra course designed to help bridge the gap between
Intermediate
Algebra and precalculus/elementary functions courses. Principal topics include
an introduction
to functions, linear and quadratic functions, exponential & logarithmic
functions, linear
systems, matrix reduction, & determinants , conic sections, and triangle
trigonometry. The
course will probably make more sense if you can read or at least browse through
the relevant
sections of the book before each class. Generally we’ll cover a section of the
book in one or
two class meetings.
I’ll spend most of the class time explaining the concepts and presenting
examples showing
how the concepts are applied. I welcome questions at any time. There will be
portions of
class time where you get a chance to solve some problems.
Keeping up with the new concepts through homework exercises is essential to
success in the
course. I will not usually collect homework exercises from the book, but we will
spend class
time discussing the exercises. I may collect some additional homework exercises,
and there
will be short quizzes from time to time. There will be four tests and a final
exam. There
will be an opportunity to makeup one test by the way I score the final exam. I
look at each
section of the comprehensive final (a test one part , a test two part , etc. )
and look to see
on which section you have improved the most. If you have, for example, improved
the most
on the test two part of the final exam, then the score on the test two portion
of the final
replaces your original test two score. Of course, if the final exam scores are
all lower , your
original test scores are left unchanged.
what you’ll need
book: “College Algebra” by Kaufmann & Schwitters, Thomson Brooks/Cole,
6^{th} ed, 2005.
For trigonometry, we’ll use
“Teach Yourself Trigonometry” by P. Abbott & Hugh Neill ( 2003).
Denise Brannan’s online trigonometry notes are another good resource, available
at
prerequisite: completion of Intermediate Algebra (Mathematics 098) with
2.0 or better or
placement.
please turn off the sound on all cellphones, pagers, etc. during class
grades
Each of the four tests & final exam will be worth 100 points. Collected homework
assignments
and quizzes generally will be weighted between 5 and 30 points depending on
length.
The course grade is based on a percentage which may be calculated at any time.
Add together
all your points. Then divide by the sum of the possible points. Multiply by 100
for
the course percentage. Course grades are then determined by the following scale:
* A course percentage of at least 93%,
and a score of at least 90% on each test
earns a 4.0.
Other grades are linearly interpolated . For example, a score of 85% corresponds
to a grade
of 3.4.
test dates
test 1  Wednesday, October 8 
test 2  Tuesday, October 28 
test 3  Wednesday, November 12 
test 4  Thursday, December 4 
final exam  Monday, December 8 10:30–12:30 
course outline
naturally the schedule is approximate
Linear Equations, Systems, & Inequalities
Mon Sep 22 Tue Sep 23 
line graphs and equations 
2.2  7, 13, 19, 27 
2.3  3, 9, 13, 21, 31, 43, 49, 51, 55, 57, 61, 63, 79, 83 

Wed Sep 24 Thu Sep 25 
linear equations & applications 
1.1  15, 21, 27, 39, 53, 57 
1.2  5, 9, 19, 29, 33, 37, 43, 53, 59, 69  
absolute value equations & inequalities 
1.7  3, 9, 15, 17, 25, 35, 37, 41, 45, 49, 51, 53, 73 

Fri Sep 26  systems of two linear equations in two variables 
6.1  3, 9, 11, 19, 23, 25, 33, 35, 43, 47, 59, 63, 65 
Mon Sep 29 Tue Sep 30 
systems of three linear equations in three variables 
6.2  3, 9, 17, 25, 29 
Tue Sep 30  Wed Oct 1 matrix row reduction 
6.3  3, 7, 13, 19, 23, 27, 35, 37 
Thu Oct 2 Fri Oct 3 
determinants  6.4  5, 11, 15, 19, 23, 29 
Fri Oct 3 Mon Oct 6 
Cramer’ s Rule  6.5  3, 9, 15, 19, 23 
Tue Oct 7  review  
Wed Oct 8  test one 
Conic Sections
Thu Oct 9 Fri Oct 10 
complex numbers  0.8  15, 17, 19, 25, 31, 37, 49, 57, 59 
quadratic equations  1.3  9, 13, 19, 23, 31, 33, 43, 45, 59  
Fri Oct 10 Mon Oct 13 
distance formula  2.1  3, 19, 23, 25, 39 
circles  2.5  1, 7, 11, 19, 25, 27, 37, 43  
Tue Oct 14  ellipses  8.2  1, 5, 9, 15, 19, 25 
Wed Oct 15 Thu Oct 16 
parabolas  8.1  7, 11, 17, 21, 33, 35, 43, 45 
Thu Oct 16 Fri Oct 17 
hyperbolas  8.3  1, 3, 7, 11, 15, 19, 39–47 odd 
Mon Oct 20  nonlinear systems  8.4  1, 7, 17, 19, 27, 29 
Introduction to Functionsa
Tue Oct 21 Wed Oct 22 
functions  3.1  3, 7, 11, 15, 31, 33, 39, 41, 47, 57, 67, 77, 79, 83 
Thu Oct 23  quadratic functions  3.3  5, 7, 11, 15, 23, 27, 29 
Fri Oct 24  quadratic function applications 
3.4  3, 7, 15, 19, 27, 31, 37, 41, 43, 45, 49, 51 
Mon Oct 27  review  
Tue Oct 28  test two 
course outline, continued
Exponential & Logarithmic Functions
Wed Oct 29 Thu Oct 30 
exponents & exponential functions 
0.2 
41, 49, 55, 79, 95, 103 
0.7  5, 15, 23, 33, 39, 51, 57a  
5.1  3, 7, 9, 13, 17, 23, 25  
Fri Oct 31 Mon Nov 3 
exponential function applications 
5.2  1 a, e, 3, 7, 9, 25, 29 
Tue Nov 4 Wed Nov 5 
logarithms  5.3  1, 3, 7, 11, 13–45 every other odd, 47, 51, 55, 57, 59, 69, 71, 75, 77, 79, 83, 87, 89, 95, 99 
Thu Nov 6 Fri Nov 7 
solution of exponential & logarithmic equations 
5.4  13, 17, 33, 37 
5.5  5, 13, 17, 21, 23, 29, 31, 39  
Mon Nov 10  review  
Wed Nov 12  test three 
Trigonometry
exercises in “teach yourself trigonometry” book
Thu Nov 13 Fri Nov 14 
geometry review  handouts  
Mon Nov 17 Tue Nov 18 
the tangent  2  pp. 9–10 1–11 odd p. 17 1–9 odd p. 13 1–9 odd 
Wed Nov 19 Thu Nov 20 Fri Nov 21 
sine & cosine  3  pp. 24–25 1–19 odd pp. 29–30 1–23 odd pp. 33–34 1–9 odd exact values worksheet 
Mon Nov 24 Tue Nov 25 
trigonometric identities  handout & worksheet  
Wed Nov 26  obtuse angles  5  p 50 1, 2, 9, 15, 16 p 52 1, 5, 6 
Mon Dec 1  law of sines  7  p. 69 1–9 odd 
Tue Dec 2  law of cosines  7  pp. 72–73 1–29 every other odd pp. 80–82 1, 3, 7, 11, 17 
Wed Dec 3  review  
Thu Dec 4  test four  
Fri Dec 5  review  
Mon Dec 8  final exam 10:30 – 12:30 
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