FAYETTEVILLE STATE UNIVERSITY
Department of Mathematics and Computer Science
Course Syllabus, Spring 2003
Translation and Stratching Trigonometric Functions
e-mail me: gkerbaugh@nc.rr.com
| I. | LOCATOR INFORMATION: | |
| Course Offered: | Fall and Spring Semesters Yearly | |
| Year: | 2003 | |
| Course Number and Name | MATH 130 | Precalculus II |
| Semester Hours of Credit: | 3 | |
| Section | 03 | |
| Time Class Meets: | 9:30 - 10:50 a.m. | |
| Days Class Meets: | Tuesday, Thursday | |
| Where Class Meets: | SBE / 145 | ( Bldg. / Room ) |
| Instructor's Name: | Dr. Gary Kerbaugh | |
| Office Location: | SBE 313 | |
| Office Telephone: | 672-1666 | |
| Office Hours: | MWF 3:00 - 5:00 p.m. |
|
| TTh 11:00 - 12:00 a.m. | ||
| TTh 5:20 - 6:20 p.m. | ||
| Other Office Hours by Appointment | ||
| Final Exam: | May , | |
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II. COURSE DESCRIPTION
Mathematics 130, Precalculus Mathematics II, is the second of a two-semester sequence that provides the background for students who are preparing to take calculus. Topics include graphing, systems of equations, matrices, complex numbers, mathematical induction, the binomial theorem, sequences and series, polar coordinates, parametric equations, trigonometric functions, inverse trigonometric functions, law of sines, law of cosines, and trigonometric identities. Prerequisites: MATH 129 or equivalent or consent of department. A graphing calculator is required.
III. TEXTBOOK
Larson, Hostetler & Edwards, PRECALCULUS: FUNCTIONS AND GRAPHS, 3rd Edition, D. C. Heath and Co., Lexington, MA, 1998.
IV. BEHAVIORAL OBJECTIVES (AND COMPETENCIES)
The proposed objectives and competencies are realized as students:
Use properties of trigonometric functions.
Verify trigonometric identities.
Solve trigonometric identities.
Add, subtract and multiply matrices.
Write equations for ellipses, hyperbolas, circles and parabolas.
V. COURSE COMPETENCIES
DPI
1.0 Ability to recognize and solve problems.
1.1 Use mathematics and technological tools to solve ìreal worldî problems that arise in social sciences, biological sciences, physical sciences, and other mathematical sciences.
10. Algebra and algebraic structures
11.1 Develop and analyze algorithms for computational efficiency.
11.2 Develop skills in using interactive and recursive techniques in solving problems.
11.5 Use computers and graphing calculators to explore mathematical concepts.
NCATE
10. MATHEMATICS PREPARATION
a. Programs prepare prospective teachers who--
i. Use a problem-solving approach to investigate and understand mathematical content.
ii. Formulate and solve problems from both mathematical and everyday situations.b. Programs prepare prospective teachers who can communicate mathematical ideas.
i. In writing, using everyday mathematical language, including symbols.
ii. Orally, using both everyday and mathematical language.c. Programs prepare prospective teachers who can make and evaluate mathematical conjectures and arguments and validate their own mathematical thinking.
d. Programs prepare prospective teachers whoó
i. Show an understanding of the interrelationships within mathematics.
ii. Connect mathematics to other disciplines and real-world situations.e. Programs prepare prospective teachers whoó
i. Use calculators in computational and problem-solving situations.
ii. Use computer software to explore and solve mathematical problems.11. TEACHER PREPARATION
2.1 Programs prepare prospective teachers who can identify and model strategies used for problem-solving in grades 7-12.
a. Programs prepare prospective teachers who use graphing calculators, computers and other technologies as tools for teaching mathematics.
VI. EVALUATION CRITERIA/GRADING SCALE
There will be four tests and a comprehensive final exam. The grading scale for determining the course grade and the weights assigned to tests, final examination, and homework are given below. The in class tests and final exam will be graded on a 100 point scale. Partial credit for problems is awarded on the basis of work shown. Homework will be collected randomly at a rate averaging about once a week and given a grade of either pass or fail. Only a few homework problems will be graded but all problems must be attempted and all work must be shown. The homework score will depend on the percentage of passing grades assigned for collected assignments. Late homeworks will not be accepted and the final exam grade will be used as the grade for all tests that are missed. Make up tests will not be given. The lowest score for an in class test can be replaced with the Final Exam grade (if it helps) and the class test average will be computed as in the example below. The percentage of passing homework grades will be multiplied by four, rounded, and the result added to the final average.
Example:
To see how your grade will be calculated, suppose your test scores are 85, 81, 84, and 90, your final exam score is 88 and you received a passing grade on 50% of the homework collected. Since the lowest test grade is dropped (see item 1 under COURSE REQUIREMENTS), your grade would be calculated as follows:
0.20 * [ (81 + 85 + 84 + 90) ] + 0.20 * 88 = 85.6
85.6 + .50*4 = 85.6 + 2 = 87.6 = 88
Since 88 is between 80 and 89 you would receive a grade of B.
Weights Assigned to graded materials:
| In Class Tests | 20% Each |
| Comprehensive Final Examination | 20% |
| Homework | 4% Extra Credit |
Grading Scale:
| A | 90 - 100% | Tests 80% |
| B | 80 - 89% | Final Exam 20% |
| C | 70 - 79% | |
| D | 60 - 69% | |
| F | Below 60% |
VII. COURSE OUTLINE
See attached calendar.
* Subject to change by myself for the optimization of instructional assistance.
VIII. TEACHING STRATEGIES
Math 130 is a lecture-based course. Each lecture will contain a summary of the most important concepts from each chapter. The graphing calculator will be utilized to bring clarity and understanding to each concept or theory discussed. Questions will be posed to the class daily to measure their comprehension of particular concepts.
IX. COURSE REQUIREMENTS
Conduct of Course/Classroom Decorum
| 1. | Students are responsible for availing themselves of all class meetings, Tutorial sessions, computer lab sessions, and individual help from the instructor. There are computer software tutorials available for your use in the Helen Chick Building, second floor and SBE 216A. (See the Lab Assistants) |
| 2. | Students are responsible for maintaining a notebook of problems selected by the instructor. Students are encouraged to include as many additional problems as is possible |
| 3. | All tests will be announced prior to their administration. Since the lowest test will be dropped no make-up test will be given. There will be a test given at the end of each chapter and there will be a comprehensive final examination given. The students are also required to take the algebra profile posttest. |
| 4. | Students are expected to enter the classroom on time and remain until the class ends. Late arrivals and early departures will be noted in the record book. The class attendance policy set forth in the 1996-1998 FSU Catalogue will be strictly adhered to. |
| 5. | Students must refrain from smoking, eating, and drinking in the classroom. The rights of others must be respected at all times. |
| 6. | Students are encouraged to ask questions of the instructor in class and to respond to those posed by the instructor. They should not discourage others from asking or answering questions. Other students often have the same questions on their minds, but are hesitant to ask. |
| 7. | Students are expected to complete all class assignments and to spend adequate time on their class work and to read each topic prior to class discussion to insure that the course objectives are met. Two hours of home study is expected for each hour of class. |
| 8. | Talking in class between students is strictly unacceptable. Discussions should be directed to the instructor. |
| 9. | Extra recitation periods and/or computer lab attendance are mandatory for students whose grades fall below C. They must meet the instructor to arrange for extra activities. |
| 10. | Dishonesty on graded assignments will not be tolerated. Students must neither give nor receive help on any work to be graded. The University policy on cheating will be applied to any violations. The minimum penalty will be a grade of zero on the assignment. |
X. REFERENCES
Larson, Roland E., Robert P. Hostetler & Bruce H. Edwards. COLLEGE ALGEBRA: A
GRAPHING APPROACH, 2nd Edition, Boston, MA: Houghton Mifflin Co., 1997.
Sobel, Max A., Nobert Lerner. COLLEGE ALGEBRA, 4th Edition, Englewood Cliffs, NJ:
Prentice Hall, 1995.
Lail, Margaret L., E. John Hornsby, Jr. & David I. Schneider. TRIGONOMETRY, 6th
Edition, New York, NY: Addison-Wesley, 1997.
Hornsby, E. John Jr. & Margaret L. Lail. A GRAPHICAL APPROACH TO COLLEGE
ALGEBRA. Boston, MA: Harper-Collins, 1996.
XI. COURSE OUTLINE WITH ASSIGNMENT SCHEDULE*
| DAYS | DATES | LECTURE | HOMEWORK ASSIGNMENT |
| THURS: | 1/9 | Introduction Radian & Degree Measure |
p. 291 #1-4, 23-26, 27-37odd |
| TUES: | 1/14 | Trigonometric Functions: The Unit Circle |
p. 300 #1-23odd, 29, 35, 37-39, 41, 47, 53-57, 59, 63, 65, 68 |
| THURS: | 1/16 | Right Triangle Trigonometry | Exercise Set 4.3 |
| TUES: | 1/21 | Trigonometric Functions of any Angle | Exercise Set 4.4 |
| THURS: | 1/23 | Review for Test 1 | |
| TUES: | 1/28 | Test # 1 | Read Section 4.5 |
| THURS: | 1/30 | Graphs of Sine and Cosine Functions | Exercise Set 4.5 |
| TUES: | 2/4 | Graphs of Other Trigonometric Functions | Exercise Set 4.6 |
| THURS: | 2/6 | Inverse Trigonometric Functions | Exercise Set 4.7 |
| TUES: | 2/11 | Review for Test 2 | |
| THURS: | 2/13 | Test # 2 | Read Section 5.1 |
| TUES: | 2/18 | Using Fundamental Identities: | Exercise Set 5.1 |
| THURS: | 2/20 | Verifying Trigonometric Identities | Exercise Set 5.2 |
| TUES: | 2/25 | Solving Trigonometric Equations | Exercise Set 5.3 |
| THURS: | 2/27 | Sum & Difference Formulas | Exercise Set 5.4 |
| TUES: | 3/4 | Product-Sum Formulas Double- & Half-Angle Identities |
Exercise Set 5.5 |
| THURS: | 3/6 | Review for Test 3 | |
| TUES: | 3/11 | Spring Break | |
| THURS: | 3/13 | Spring Break | |
| TUES: | 3/18 | Test # 3 | Read Section 6.1 |
| THURS: | 3/20 | Law of Sines | Exercise Set 6.1 |
| TUES: | 3/25 | Law of Cosines | Exercise Set 6.2 |
| THURS: | 3/27 | Matrices & Systems of Equations | Exercise Set 8.1 |
| TUES: | 4/1 | Operations with Matrices | Exercise Set 8.2 |
| THURS: | 4/3 | Review for Test 4 | |
| TUES: | 4/8 | Test # 4 | Read Section 8.3 |
| THURS: | 4/10 | Inverse of a Square Matrix Determinant of a Square Matrix |
Exercise Set 8.3 and 8.4 |
| TUES: | 4/15 | Applications Of Matrices and Determinants (Cramer's Rule) | Exercise Set 8.5 |
| THURS: | 4/17 | Introduction to Conics | Exercise Set 10.1 |
| TUES: | 4/22 | Ellipses | Exercise Set 10.2 |
| THURS: | 4/24 | Hyperbolas Review for Test 5 |
Exercise Set 10.3 |
| TUES: | 4/29 | Test # 5 | |
| THURS: | 5/1 | Review for Final Examination |
THURSDAY, MAY 1, — WEDNESDAY, MAY 7, 2002 FINAL EXAMINATIONS
* This schedule is subject to change for the optimum benefit of the class as a whole. Therefore, it is important to stay alert and attend class regularly.