MAT 153 College Algebra
and Trigonometry, # 26162, Spring
2003
Class meets MWF
Instructor: Prof.
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.
Tentative schedule:
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: Presidents’
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,