May 25th
May 25th
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 pre-calculus 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
right-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 one or two sections each class.
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
right-triangle trigonometry and a part covering test one and test two material.
Some of the
tests may have a take-home part. There will be an opportunity to make-up 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
un changed .
what you'll need
book: \Precalculus, Concepts Through Functions, A
Right Angle Approach To Trigonom-
etry",. 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 o 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 right-
angle 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:
* 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, May 6 |
| test 2 |
Wednesday, June 3 |
| final exam |
Wednesday, June 17 |
course outline
naturally the schedule is approximate
Distance Formula, Graphs, and Circles
| Mon Apr 6 |
distance formula
midpoint formula |
F1 |
19, 23, 27, 31, 39, 43, 45, 55 |
| graphs of equations |
F2 |
15, 19, 23, 29, 31, 39, 41, 45,
51, 53,
57, 59, 65, 69 |
| circles |
F3 |
7, 9, 11, 15, 19, 21, 23, 27, 33,
37, 39, 49 |
Functions and Graphs
| Wed Apr 8 |
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 Apr 13
Wed Apr 15 |
graphs of functions |
1.2 |
3, 4, 6, 9,11, 13, 16, 19, 23, 25,
37 |
properties of
functions |
1.3 |
1-5, 8, 10, 11-20, 21, 25, 27, 31,
35, 37,
39, 44, 53, 61, 63a-c |
library of functions
piece-wise defined
functions |
1.4 |
4, 6, 9-23, 25, 27, 29, 35, 41,
43, 45, 65 |
| Mon Apr 20 |
graphing using
shifts, stretches, &
reflections |
1.5 |
1, 7-31 odd, 35, 37, 39, 42, 45,
53, 56,
63, 65, 77, 83 |
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
| Wed Apr 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 |
| Mon Apr 27 |
quadratic functions |
2.3 |
7-9, 11, 17, 21, 27, 31, 33, 37,
41, 53,
59, 65, 69, 75, 85, 89, 93 |
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 Apr 29 |
quadratic function
models |
2.6 |
3, 5, 7a,b,c, 15, 19, 21, 23, 27,
35 |
complex zeroes of a
quadratic function |
2.7 |
3, 4, 6, 7, 9, 13, 21, 23, 25, 27,
29, 31 |
| Mon May 4 |
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 |
| Wed May 6 |
test one |
|
|
| Mon May 11 |
graphs of rational
functions |
3.2 |
5, 6, 13, 15, 21, 23-29 odd, 31,
35, 38,
41, 43, 47, 51, 54 |
| 3.3 |
3-6, 7, 9, 15, 19, 29, 35, 41, 47,
49a,b,
53a |
| Wed May 13 |
real & complex
zeroes of
polynomials |
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 |
| Mon May 18 |
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 |
| 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 |
| Wed May 20 |
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 |
| Wed May 27 |
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 |
| 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 |
Trigonometry
| Mon Jun 1 |
geometry review |
|
|
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 |
| Wed Jun 3 |
test two |
|
|
| Mon Jun 8 |
right-triangle
trigonometry |
5.2 |
3, 5, 6, 9, 11, 13, 19, 21, 27,
29, 35, 37,
39, 43, 47, 51, 55, 57, 63, 73 |
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 |
| Wed Jun 10 |
right triangle
applications |
7.1 |
5, 8, 9, 19, 23, 25, 27a, 29, 31,
34 |
trigonometric
identities |
6.3 |
1, 4, 9-19 odd, 23, 25, 29, 35,
41, 45,
51, 61, 71, 75, 85, 95 |
| Mon Jun 15 |
review |
|
|
| Wed Jun 17 |
final exam |
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