Precalculus
Required Supplies: A scientific calculator is
required. A graphing calculator is recommended.
Recommended Supplies: Use a three ring binder (or
similar) with dividers for keeping class notes, homework
assignments, and exams organized throughout the semester. Use a pencil for all
work done for this class. The
student solutions manual is also optional.
Credits: (4-4-0) Note: This course has no
laboratory component.
Course Prerequisite : MATH 1314 with a grade of “C”
or better, or equivalent.
Catalog Description: This course applies algebra
and trigonometry to the study of polynomial, rational,
exponential, logarithmic, and trigonometric functions and their graphs. Included
are conic sections, polar
coordinates , and other topics from analytic geometry.
Course Outcomes: After the successful completion of
this course, you will be able to solve application
problems using the following skills:
1. Composites and inverses of functions.
2. Second degree relations, functions and graphs.
3. Polynomial, exponential, and logarithmic functions, and their graphs.
4. Solving exponential and logarithmic equations.
5. Trigonometric functions, special angles, and right triangles.
6. Graphs of trigonometric functions, wavelength, and phase shift.
7. Trigonometric identities and equations.
8. Law of Sines and Law of Cosines.
9. Introduction to complex numbers in trigonometric form.
10. Partial fractions .
11. Simple proofs using Mathematical Induction .
12. Introduction to vectors in the plane.
Attendance: Regular and punctual attendance is
mandatory. To be successful in college courses, students are
expected to attend class on a regular basis. Students need to be aware that they
may be dropped by the instructor
after census date for lack of progress, which is often caused by lack of
attendance. However, students are
ultimately responsible for dropping themselves if they stop attending class.
If you need to leave early, then
you should let me know before class starts. If you are late for an exam,
you will not be given any additional
time to complete it.
Tutoring: Tutoring is available, at no cost, in the
Math Lab, AB 200. Additionally, your instructor is available
during office hours to answer questions and clarify difficult concepts.
Scholastic Integrity: At Northwest Vista College,
students and faculty value academic achievement, lifelong
learning, diversity, and personal and social responsibility. We embrace our
values out of commitment to
families, peers, neighbors, and ourselves. Integrity, one of our core values, is
characterized by honesty and
fairness, and is essential for an open exchange of ideas, and to the
collaboration necessary for learning.
In upholding integrity, academic dishonesty will not be
tolerated. Cheating on assignments, plagiarism
(unauthorized use of another person’s work, or inadequate documentation), and
collusion through unauthorized
collaboration will result in serious penalties ranging from failing grades on
assignments through expulsion.
Cell Phones: Turn off all cell phones or place them
on silent mode. Do not talk on cell phones during class.
Please excuse yourself from class before answering any call.
| Grading Policy: |
Homework/ Group Activities /Classwork |
15% |
|
| |
Exam 1 (due on Tuesday, September 20) |
15% |
Chapters 1, 2, and 3 |
| |
Exam 2 (Thursday, October 13) |
20% |
Chapter 4 |
| |
Exam 3 (Tuesday, November 8) |
20% |
Chapter 5 and Sections 6.1 & 6.2 |
| |
Final Exam (Thursday, December 8) |
30% |
Cumulative |
A: 90-100%
B: 80-89%
C: 70-79%
D: 60-69%
F: < 60%
The last day to drop with a grade of “W” is Friday,
November 11, 2005.
Homework: Homework will be assigned daily. It will
be due on exam days before you take your exam.
Classwork: There will be worksheets completed
during class. These will be due on exam days before you
take your exam.
Exams: There will be three (3) exams and a
comprehensive final. The maximum value of each exam
including extra credit is 100 points. There will be no makeup exams for any
reason. The final
exam is mandatory.
Topics to be Covered:
| Section |
Topic |
Homework |
| 1-1 |
Graphs of Equations |
|
| 1-2 |
Linear Equations in Two Variables |
|
| 1-3 |
Functions |
25-35 odd, 55-67 odd, 77-83 odd, 103-109 odd |
| 1-4 |
Analyzing Graphs of Functions |
61-66 all |
| 1-5 |
A Library of Functions |
|
| 1-6 |
Shifting, Reflecting, and Stretching Graphs |
71-83 odd |
| 1-7 |
Combinations of Functions |
67-73 odd |
| 1-8 |
Inverse Functions |
5-11 odd, 69-77 odd, 93-101 odd |
| 1-9 |
Mathematical Modeling |
|
| |
|
|
| 2-1 |
Quadratic Functions |
13,17,19,23,25, 77-83 odd, 99,101,103,107 |
| 2-2 |
Polynomial Functions of Higher Degree |
67,71,73,99-109 odd |
| 2-3 |
Polynomial and Synthetic Division |
77, 85-97 odd |
| 2-4 |
Complex Numbers |
63,65,67,91,93,99 |
| 2-5 |
Zeros of Polynomial Functions |
11,13,17,55-67 odd, 111,127-135 odd |
| 2-6 |
Rational Functions |
|
| 2-7 |
Partial Fractions (covered at end of semester) |
9,11,21,23,25,27,39,45 |
| |
|
|
| 3-1 |
Exponential Functions and Their Graphs |
63, 65, 73, 74 |
| 3-2 |
Logarithmic Functions and Their Graphs |
1-31 odd, 64, 65, 67 |
| 3-3 |
Properties of Logarithms |
35, 51, 99, 100, 101, 102 |
| 3-4 |
Exponential and Logarithmic Equations |
45-67 odd, 83-103 odd, 111,113, 129, 130, 131,
132 |
| 3-5 |
Exponential and Logarithmic Models |
|
| |
|
|
| 4-1 |
Radian and Degree Measure |
7,9,13,17,21,25,27,29,37,41,67,71,75,83,87 |
| 4-2 |
Trigonometric Functions: The Unit Circle |
1,5,15,23,29,37,43 |
| 4-3 |
Right Triangle Trigonometry |
1,3,7,9,13,17,21,23,25,29,37,41,43,47-57 all,
60,61,62 |
| 4-4 |
Trigonometric Functions of Any Angle |
1,5,11,15,17,19,21,29,31,33,35,45,51,63,69,75,85,87 |
| 4-5 |
Graphs of Sine and Cosine Functions |
1-15 odd, 27,35,41,49,51,55 |
| 4-6 |
Graphs of Other Trigonometric Functions |
|
| 4-7 |
Inverse Trigonometric Functions |
1-13 odd, 17-23 odd, 37,39,43,45,49,51 |
| 4-8 |
Applications and Models |
1-11 odd, 15,17,21,22,32 |
| |
|
|
| 5-1 |
Using Fundamental Identities |
1,5,27,33,45,47,49,53,57,61,65,77 |
| 5-2 |
Verifying Trigonometric Identities |
1-11 odd, 25 |
| 5-3 |
Solving Trigonometric Identities |
1,3,7-21 odd, 33 |
| 5-4 |
Sum and Difference Formulas |
1,3,7,15,23,25,33,37 |
| 5-5 |
Multiple- Angle and Product -to-Sum Formulas |
3,5,9,19,41,63,75,95,97 |
| |
|
|
| 6-1 |
Law of Sines |
1,3,5,13,17,29,31,35 |
| 6-2 |
Law of Cosines |
1-9 odd, 23,25,27,33 |
| 6-3 |
Vectors in the Plane |
1-9 odd,
19,21,27,29,31,37,41,47,51,53,63,65,69,71 |
| 6-4 |
Vectors and Dot Products |
1,3,5,9,11,15,17,37 |
| 6-5 |
Trigonometric Form of a Complex Number |
1,3,11,23,35,49,51,55,61,73,75,91,93 |
| |
|
|
| 9-1 |
Sequences and Series |
TBA |
Homework assignments may be changed by the instructor.
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