Precalculus I
Welcome to Precalculus
The focus of this two quarter sequence is the study of the elementary functions
and their
graphs, and to provide a good foundation for the study of calculus. The course
is the
first half of a precalculus sequence which continues with Precalculus II (Math
142). After
a general introduction to functions, we’ll look at polynomial functions and the
theory of
equations, rational functions, an introduction to exponential & logarithmic
functions, and
righttriangle 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 to two days.
Keeping up with the new concepts through homework exercises is essential to
success in the
course. I will not collect homework exercises from the book, but we will spend
class time
discussing the exercises. I may collect some additional homework exercises.
There will be
short quizzes about once a week.
I’m planning to give two tests and a final exam. The final exam will contain a
section on
righttriangle trigonometry and a part covering test one and test two material.
Some of the
tests may have a takehome part. 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: “Precalculus, Concepts Through Functions, A Right Angle Approach To
Trigonometry”,.
by Michael Sullivan & Michael Sullivan III, Pearson/Prentice Hall, 2007
prerequisite: completion of Intermediate Algebra (Mathematics 098) or
placement.
calculator: You will need a scientific calculator. Graphing calculators
are not required.
please turn off the sound on all cellphones, pagers, etc. during class
grades
Each of the two tests will be worth 100 points. The final exam will count as 150
points (
one hundred points for the test one and test two material, and fifty points for
the rightangle
trigonometry material). The weekly quiz will be scored at 15 points. I will drop
the
lowest quiz score. Collected homework assignments will be scored 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:
93% and up  3.9 or 4.0* 
90%  3.8 
80%  3.0 
70%  2.0 
60%  1.0 
50%  0.7 
under 50%  0.0 or NC 
* 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  Tuesday, February 3 
test 2  Tuesday, March 3 
final exam  Tuesday, March 24 8–10 a.m. 
course outline
naturally the schedule is approximate
Distance Formula, Graphs, and Circles
Mon Jan 5  distance formula midpoint formula 
F1  19, 23, 27, 31, 39, 43, 45, 55 
Tue Jan 6  graphs of equations  F2  15, 19, 23, 29, 31, 39, 41, 45, 51, 53, 57, 59, 65, 69 
Wed Jan 7  circles  F3  7, 9, 11, 15, 19, 21, 23, 27, 33, 37, 39, 49 
Functions and Graphs
Thu Jan 8 Fri Jan 9 
functions  1.1  5, 7, 11, 15, 17, 19, 25, 27, 31, 32, 39, 45, 47, 51, 55, 63, 68, 73, 75, 85, 91, 99 
Mon Jan 12 Tue Jan 13 
graphs of functions  1.2  3, 4, 6, 9,11, 13, 16, 19, 23, 25, 37 
Tue Jan 13 Wed Jan 14 
properties of functions 
1.3  1–5, 8, 10, 11–20, 21, 25, 27, 31, 35, 37, 39, 44, 53, 61, 63a–c 
Thu Jan 15 Fri Jan 16 
library of functions piecewise defined functions 
1.4  4, 6, 9–23, 25, 27, 29, 35, 41, 43, 45, 65 
Fri Jan 16 Tue Jan 20 
graphing using shifts, stretches, & reflections 
1.5  1, 7–31 odd, 35, 37, 39, 42, 45, 53, 56, 63, 65, 77, 83 
Wed Jan 21  constructing functions–math models 
1.6  1, 3a,b, 7a,b, 9a,b,c, 13, 15a,b, 17a,b, 19a,b, 23, 27a, 29, 31 
Linear, Quadratic, Polynomial & Rational Functions
Thu Jan 22  linear functions  2.1  2, 6, 7, 9–12, 13, 15, 17, 27, 29, 33, 37, 41, 47, 51, 53, 59 
absolute value function 
2.8  7, 8, 12, 13, 19, 35, 47, 49, 55, 59, 63, 65 

Fri Jan 23 Mon Jan 26 
quadratic functions  2.3  7–9, 11, 17, 21, 27, 31, 33, 37, 41, 53, 59, 65, 69, 75, 85, 89, 93 
Mon Jan 26 Tue Jan 27 
quadratic function graphs 
2.4  5, 6, 9, 11–17 odd, 21, 27, 31, 33, 37, 41, 47, 53, 55, 61, 65, 67, 71 
Wed Jan 28 Thu Jan 29 
quadratic function models 
2.6  3, 5, 7a,b,c, 15, 19, 21, 23, 27, 35 
Fri Jan 30  complex zeroes of a quadratic function 
2.7  3, 4, 6, 7, 9, 13, 21, 23, 25, 27, 29, 31 
Mon Feb 2  review  
Tue Feb 3  test one  
Wed Feb 4 Thu Feb 5 
graphs of polynomials 
3.1  2, 8, 9, 11–19 odd, 25, 27, 33, 35, 39, 43, 45, 49, 55, 57–60, 62, 63, 67, 69, 73, 79, 85, 87, 108 
Fri Feb 6 Mon Feb 9 Tue Feb 10 
graphs of rational functions 
3.2  5, 6, 13, 15, 21, 23–29 odd, 31, 35, 38, 41, 43, 47, 51, 54 
Wed Feb 11  polynomial & rational inequalities 
3.3  3–6, 7, 9, 15, 19, 29, 35, 41, 47, 49a,b, 53a 
Thu Feb 12 Fri Feb 13 Tue Feb 17 
real & complex zeroes of polynomials 
3.4  3, 5, 9, 13,17, 21, 29, 33, 35, 45, 49, 51 
3.5  5–8, 11, 13, 21, 25, 29, 33, 39, 45, 47, 49, 55, 57, 59, 65, 69, 73, 83, 85, 89, 95 

3.6  2–7, 9, 13, 21, 23, 27, 31, 35, 37 
Exponential and Logarithmic Functions
Wed Feb 18 Thu Feb 19 
composition of functions 
4.1  4, 5, 7, 9, 11, 17, 21, 27, 29, 31, 35, 39, 43, 44, 45, 47, 49, 53, 55, 63, 73 
Thu Feb 19 Fri Feb 20 
inverse functions  4.2  1, 4, 6, 7, 9, 11, 19, 21, 25, 27, 31, 33, 37, 41, 45, 49, 51, 55, 57, 65, 71, 75, 99, 100 
Mon Feb 23 Tue Feb 24 
exponential functions 
4.3  1, 3, 6, 8, 11, 19, 21, 23, 25, 31, 35, 37, 41, 43, 47, 49, 55, 57, 59, 63, 69, 71, 75, 79, 83, 89, 91, 101, 111 
Tue Feb 24 Wed Feb 25 
logarithmic functions 
4.4  4, 5–19 odd, 23, 25–31 odd, 35, 37, 41, 45, 47, 49, 51, 55, 57, 59, 63, 69, 71, 74, 85, 87, 89, 91, 93, 99, 103, 109, 113, 115, 121b,c,d,e, 125 
Thu Feb 26 Fri Feb 27 
logarithm properties  4.5  1, 4, 6, 7, 9, 11, 12, 15, 19, 23–37 odd, 41, 47, 51, 53, 59, 63, 65, 71, 79, 81, 87, 95, 98, 101 
Mon Mar 2  review  
Tue Mar 3  test two 
Trigonometry
Wed Mar 4  geometry review  
Mon Mar 5 Tue Mar 6 
radian measure of angles 
5.1  1–3, 11, 13, 14, 15, 23, 31, 35, 39, 43, 47, 49, 51, 61, 67, 71, 75, 77, 79, 89, 91, 99, 101, 114, 115 
Mon Mar 9 Tue Mar 10 
righttriangle trigonometry 
5.2  3, 5, 6, 9, 11, 13, 19, 21, 27, 29, 35, 37, 39, 43, 47, 51, 55, 57, 63, 73 
Wed Mar 11  trigonometric exact values 
5.3  1, 5, 6, 7–13 odd, 17, 21, 23, 25, 27, 29, 33, 38, 41, 43, 51, 55, 59, 61, 67, 71 
Thu Mar 12  right triangle applications 
7.1  5, 8, 9, 19, 23, 25, 27a, 29, 31, 34 
Fri Mar 13 Mon Mar 16 
trigonometric identities 
6.3  1, 4, 9–19 odd, 23, 25, 29, 35, 41, 45, 51, 61, 71, 75, 85, 95 
Tue Mar 17  law of sines  7.2  3, 8, 9–23 odd, 25, 29, 35, 37, 39, 41, 
Wed Mar 18  law of cosines  7.3  3–9, 11, 13, 17, 23, 33, 47 
Thu Mar 12 Fri Mar 13 
review  
Tue Mar 24  final exam 810 a.m. 