Math 123 Course Outline
| 1. Rational Expressions: Multiplication, Division |
R.5 p36: 13, 15, 17, 18 R.6 p43: 21, 23, 25, 26 |
| 2. Rational Expressions Addition, Subtraction |
R.5 p37: 29, 31, 37 R.6 p43: 31, 39, 45 |
| 3. Simplifying Complex Fractions | R.5 p37: 47, 49, 53, 59 R.6 P44: 56, 57, 61, 67 |
| 4. Calculator: Expressions, Tables |
#0-#2 Handout p9: 1, 2, 3; p14; 1, 2, 3 |
| 5. Calculator: Windows, Graphs |
#3 Handout p21: 1, 2, 3 a) b) |
| 6. Solving Equations Algebraically | R.7 p50: 27, 31, 39, 45, 51, 59 R.5 p35: 33, 37, 45, 51, 57, 65 |
| 7. Solving Equations on the Calculator | #4 (use the calculator) p50: 39, 45,
61, 63 p36: 55, 57, 67, 69 |
| 8. Functions: Domain, Range, Evaluating |
1.2 p88; 27, 31, 33, 41 1.2 p92: 21, 25, 27, 57 |
| 9. Functions: Graphs, Vertical Line Test |
1.2 p87: 25, 26, 51, 53, 55, 60, 70 1.2 p93: 41, 42, 75, 77, 79, 44, 68 |
| 10. Linear Functions | 1.3, 1.4 p100: 5, 7, 8, 49; p116: 27, 36, 39, 57 1.3, 1.4 p110: 5, 10, 53, 75; p124: 7, 16, 19, 43 |
| 11. Functions: Maxima, Minima (relate concepts to calculator) |
1.5 p130: 5, 15, 21, 25, 27 2.1 p175: 5, 15, 21, 25, 27 |
| 12. Functions: Applications | 1.5 p131: 33, 35, 37, 42, 43 2.1 p176: 33, 35, 37, 42, 43 |
| 13. Reflections and Symmetries | 1.7 p164: 1, 3, 5, 33, 36, 39, 41, 42 2.4 p214: 1, 3, 5, 33, 36, 39, 41, 42 |
| 14. Shifts | 1.7 p165: 61, 63, 93, 95, 98, 115, 117 2.4 p215: 61, 63, 97, 99, 102, 119, 121 |
| 15. Review | |
| ******************************* TEST #1 ******************************* | |
| 17. Quadratic Functions: Zeros Completing the Square |
2.3 p218: 27, 29, 35, 43, 85, 8 3.2 p258: 27, 29, 35, 43, 85, 89 |
| 18. Quadratic Function: Graphs Maxima, Minima |
2.4 p231: 3, 11, 13, 16, 43, 45, 47, 51 3.3 p272: 3, 11, 13, 18, 45, 47, 49, 53 |
| 19. More Equation Solving | 2.5 p241: 11, 12, 37, 54, 63, 101, 102 3.4 p282: 11, 12, 17, 25, 41, 83, 85 |
| 20. Review of Exponents | R.6 p45: 1, 17, 19, 99, 107, 109, 111 R.7 p52: 1, 17, 19, 97, 107, 109, 111 |
| 21. Exponential Functions: Definition, Basic Graphs |
4.2 p370: 11, 15, 17, 5 5.2 p403: 11, 15, 17, 55 |
| 22. Exponential Functions: Transformed Graph |
4.2 p370: 5, 7, 35, 39, 42, 67, 76, 86 5.2 p403: 5, 7, 35, 39, 42, 69, 78, 88 |
| 23. Logarithms: Definition, Change of Base |
4.3 p388: 9, 15, 27, 33, 37, 47, 69, 71 5.3 p423: 9, 15, 27, 33, 37, 47, 69, 71 |
| 24. Logarithms: Graphs | 4.3 p388: 79, 83, 89, 93 5.3 p423: 79, 83, 89, 92 |
| 25. Logarithms: Properties (I) | 4.4 p397: 3, 9, 17, 23, 31, 36, 38 5.4 p433: 3, 9, 17, 23, 31, 36, 38 |
| 26. Logarithms: Properties (II) | 4.4 p398: 45, 59, 60, 61, 71-73 5.4 p433: 45, 59, 60, 61, 71-73 |
| 27. Solving Exponential Equations | 4.5 p407: 3, 7, 19, 51 5.5 p444: 3, 7, 21, 57 |
| 28. Solving Logarithm Equations | 4.5 p407: 33, 36, 37, 54, 68, 71, 72 5.5 p444: 33, 36, 37, 60, 76, 79, 80 |
| 29. Applications: Growth, Interest | 4.6 p417: 1, 6, 7, 8 5.6 p455: 1, 6, 7, 8 |
| 30. Applications: Decay | 4.6 p419: 11 d) e) g) 5.6 p455: 11 d) e) g) |
| 31. Review | |
| ****************************** TEST #2 ******************************** | |
| 33. Right Triangle Trigonometry: Definitions, Calculator Keys |
5.1 p442: 1, 4, 55, 59, 71, 79 6.1 p482: 1, 4, 55, 59, 71, 79 |
| 34. Right Triangle Trigonometry: Cofunctions, Special Triangles |
5.1 p442: 17, 19, 23, 29, 30, 93, 97 6.1 p482: 17, 19, 23, 29, 30, 93, 97 |
| 35. Solving Triangles | 5.2 p451: 1, 3, 9, 1 6.2 p492: 1, 3, 9, 13 |
| 36. Applications of Trigonometry | 5.2 p452: 17, 22, 26, 32, 40 6.2 p493: 19, 30, 31, 38, 46 |
| 37. General Trigonometry: Coterminal Angles, Reference Angles |
5.3 p468: 13, 18, 25, 33, 41, 58, 79, 117 6.3 p512: 13, 18, 25, 33, 41, 58, 79, 117 |
| Reference Angles 6.3 p512: 13, 18, 25, 33, 41, 58, 79, 117 | 5.4 p481: 3, 10, 11, 14, 24, 35, 45 6.4 p526: 3, 10, 11, 14, 24, 35, 45 |
| 39. Unit Circle Trigonometry | 5.5 p501: 1, 13, 20, 23, 41, 43, 45, 49, 69 6.5 p544: 1, 13, 20, 23, 41, 43, 45, 49, 69 |
| 40. Graphs of Sines and Cosines Amplitude and Period |
5.6 p518: 3, 4, 5, 33, 39 6.6 p562: 3, 4, 5, 33, 39 |
| 41. Graphs of Sines and Cosines Phase Shift |
5.6 p518: 11, 16, 18, 23, 28 6.6 p562: 11, 16, 18, 23, 28 |
| 42. Graphs of Tangents | 5.5 p501: 10, 14, 22, 24, 25, 35, 41 6.5 p544: 10, 14, 22, 24, 25, 35, 41 |
| 43. Basic Identities | 6.1 p541: 3, 5, 11, 17, 19, 23, 45, 47, 49 7.1 p585: 3, 5, 11, 17, 19, 23, 45, 47, 49 |
| 44. Cofunction Identities | 6.2 p550: 1, 3, 5, 7 7.2 p595: 1, 3, 5, 7 |
| 45. Linear and Absolute Value
Inequalities Interval Notation |
2.6 p249: 5, 7, 9, 43, 51, 53 1.5, 3.5 p153: 7, 13, 15; p288: 51, 59, 61 |
| 46. Quadratic Inequalities | 3.6 p327: 1-5, 15, 19, 21, 25, 27 4.6 p368: 1-5, 15, 19, 21, 25, 27 |
| 47. Review | |
| ***************************** TEST #3 ********************************* | |
| 49. Re-Review | |