MAT 153 College Algebra and Trigonometry, # 26162, Spring 2003
Class meets MWF in SBS E-116.
Course Description: MAT 153, College Algebra and Trigonometry, covers Chapters 3, 5-9 from the textbook: functions, including their graphs, domain, range, inverse functions. Standard algebraic transformations of functions and the corresponding geometric transformations of their graphs. Exponential and logarithmic functions and equations; exponential growth and decay. Right-triangle trigonometry and applications. Trigonometric and inverse trigonometric functions and their graphs. Harmonic motion and sinusoids. Trigonometric identities and equations. The laws of sines and cosines.
Text: Precalculus (fifth edition), by David Cohen, West Publishing Company.
Objectives: After completing MAT 153 the student should be able to: obtain the domain and graph of linear, quadratic, exponential, logarithmic, trigonometric, and inverse trigonometric functions; understand the Vertical and Horizontal Line Tests; find the composition of two functions algebraically, and the inverse of a function, both algebraically and geometrically; understand the effects on the graph of a function (e.g. translations and/or reflections) due to standard algebraic changes to the function; use laws of exponents and logarithms and trigonometric identities; simplify expressions involving exponential, logarithmic, and trigonometric functions; solve exponential, logarithmic, and trigonometric equations; prove trigonometric identities; solve standard exponential growth and decay problems; understand the correspondence between the symmetries of the trigonometric circle and the symmetries of the trigonometric functions; use a graphic calculator to graph and evaluate exponential, logarithmic, and trigonometric functions; solve triangles using the Laws of Sines and Cosines; apply trigonometry to surveying, navigation, area, and angular speed problems and harmonic oscillations; throughout, use standard mathematical notation and terminology and avoid nonsensical expressions and statements.
Prerequisites: Fulfillment of ELM requirement.
Grades: Grades will be based on three in‑class full‑period examinations (60% total), a comprehensive final examination (25%), and quizzes, homework, and other assignments (15%) for the remainder. The exact grading system for your section is the following: each of the three full-period exams will be graded on a 100 scale, then the sum of the scores is divided by 5 and denoted by E. Homework will be collected three times, on the date of each midterm exam, and each homework is worth 5 points. No late homework will be accepted. The average of all homework scores is denoted by H.
5 to 10 minutes quizzes will be given in principle every Friday class meeting, with the exception of the review and exam days, and will be graded on a scale from 1 to 5. The average of the quizzes scores is denoted by Q. There are also 5 points awarded for attendance and class participation, this portion of the grade is denoted by A. The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F.
To determine your final grade compute E+H+Q+A+F. The maximum is 100, and the grade will be given by the rule:
A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82
C+: 77‑79; C: 73‑76; C‑: 70‑72; D: 60‑69; F: Less than 60.
Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with me, and I may then substitute the relevant score from your final examination for the missing grade.
Students with Disabilities: Students who need special consideration because of any sort of disability are urged to see me as soon as possible.
Academic Integrity: The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)
Technology: Symbolic calculators, such as TI-89 or TI-92 are not acceptable for this course.
1. M 1/27: 3.1 The definition of a function: 1,3,5,7,9,13,15,17,25,27,31,33,35,36,38,67,69
2. W 1/29: 3.2 The graph of a function:1,3,5,9,15,17,19,25,27,29,31,33,37,39,41
3. F 1/31: 3.3 Techniques in graphing: 1,9,11,13,15,17,19,21,25,27,29,31,33,35,37,39,41,65,66
4. M 2/3: 3.4 Methods of combining functions: 1,3,7,11,13,15,17,19,21
5. W 2/5: 3.5 Inverse functions: 1,3,5,7,9,11,13,15,19,23,25,27,29,31,41
6. F 2/7: 5.1 Exponential functions:3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35
7. M 2/10: 5.2 The exponential function y=ex: 1,3,5,7,9,11,13,23,25,27,29
8. W 2/12: 5.3 Logarithmic functions: 1,3,6,7,9,10,13,15,17,19,21,23,25,27,29
9. F 2/14: 5.4 Properties of logarithms: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,57,59
10. M 2/17: Presidentsí Day
11. W 2/19: 5.5 Equations and inequalities with logs and exponents: (odd only) 1-41
12. F 2/21: 5.6 Compound interest: 1,3,7,9,11,13,15,17,21,23
13. M 2/24: 5.7 Exponential growth and decay:1,3,5,7,9,11,13,15,21,23,31,37
14. W 2/26: Review
15. F 2/28: Exam I
16. M 3/3: 6.1 Trigonometric functions of acute angles: (odd) 1-23,27,29,33,37
17. W 3/5: 6.2. Algebra and trigonometric functions: (odd) 1-55
18. F 3/7: 6.3 Right-triangle applications: (odd) 5-31
19. M 3/10: 6.4 Trigonometric functions of angles: (odd) 1-27,41-57
20. W 3/12: 6.5 Trigonometric identities: (odd) 1-19
21. F 3/14: 6. 5 Trigonometric identities: (odd) 21-35
22. M 3/17: 7.1 Radian measure: (odd) 1-11,17,19,31-39
23. W 3/19: 7.2 Radian measure and geometry: (odd) 1,3,5,9-19
24. F 3/21: 7.3 Trigonometric functions of real numbers: (odd) 1-11,23-39,37-57
25. M 3/24: 7.4 Graphs of the sine and the cosine functions: (odd) 1-17,23-31,37-47
26. W 3/26: 7.5 Graphs of sinusoids: (odd) 1-23,27-33
27. F 3/28: 7.6 Simple harmonic motion: (odd) 1,3
28. M 3/31: Spring Recess
29. W 4/2: Spring Recess
30. F 4/4: Spring Recess
31. M 4/7: 7.7 Graphs of the tangent and the reciprocal function: (odd)1-9,17-27
32. W 4/9: Review
33. F 4/11: Exam II
34. M 4/14: 8.1 The addition formulas: (odd) 11-31
35. W 4/16: 8.1 The addition formulas: 33,37,39,47,49,51,53,55
36. F 4/18: 8.2 The double-angle formulas: (odd) 1-23
37. M 4/21: 8. 2 The double-angle formulas: 29,33,35,37,39,41
38. W 4/23: 8.3 The product-to-sum and sum-to-product formulas: (odd) 7-21
39. F 4/25: 8. 3 The product-to-sum and sum-to-product formulas (odd) 25-31,41
40. M 4/28: 8.4 Trigonometric equations: (odd) 5-33
41. W 4/30: 8.4 Trigonometric equations: (odd) 37-49
42. F 5/2: 8.5 The inverse trigonometric functions: (odd) 1-19
43. M 5/5: 8.5 The inverse trigonometric functions: (odd) 21-39
44. W 5/7: 9.1 The law of sines and the law of cosines: (odd) 1-21
45. F 5/9: 9.1 The law of sines and the law of cosines: (odd) 25-33
46. M 5/12: Review
47. W 5/14: Exam III
48. F 5/16: Review
Final exam: Wednesday, May 21, .