PRECALCULUS COLLEGE MATH
640:115
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01:640:115 Math 115 PCA |
Precalculus College Mathematics (4) Prerequisite: 01:640:026 or appropriate performance on the placement test in mathematics. Students may not receive more that 4 normal credits for any combination of 01:640:111-112, and 115. Students who feel unprepared for this course (who have not had math for several years or whose mathematical background is weak) should consider taking 01:640:111-112, which covers the same material as 115 but at a slower pace and begins with an exensive review of intermediate algebra. Algebraic expressions, algebraic equations, inequalities, functions, graphing. Exponential, logarithmic, and trigonometric functions. |
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Text: Stewart, Redlin, and Watson, Precalculus: Mathematics for Calculus, 6th Ed.,
Brooks/Cole Publishing Co, Cengage Learning.
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| Lecture | Sections | Topics | Homework Problems |
| - | 1.1 | Review material to be spread over first month | #12, 30, 38, 40, 41, 48, 49, 53, 61, 74 |
| 1.2 | #8, 9, 10, 17, 22, 27, 32, 40, 45, 48, 66, 67, 72, 82, 92 | ||
| 1.3 | #28, 33, 39, 45, 47, 50, 56, 58, 61, 64, 65, 68, 79, 84, 88, 99, 100 | ||
| 1.4 | #19, 31, 32, 46, 57, 63, 66, 79, 86, 89 | ||
| 1.5 | #19, 20, 27, 33, 36, 48, 49, 57, 60, 68, 73, 89, 99, 100 | ||
| 1 | 1.6 | Modeling with Equations | #11, 24, 36, 39, 42, 51, 55, 56, 61, 63, 67, 68, 69 |
| 2 | 1.8 | Coordinate Geometry; Lines | #9, 19, 28, 32, 34, 39, 49, 80, 81, 83, 96, 97, 98, 103, 104 |
| 1.10 | #7, 15, 16, 27, 35, 42, 66, 71, 75 | ||
| 3 | 1.7 | Inequalities; Solving Equations and Inequalities Graphically | #28, 33, 39, 45, 47, 50, 56, 58, 61, 64, 65, 68, 79, 84, 88, 99, 100 |
| 1.9 | #7, 10, 13, 24, 28, 31, 41, 43, 44, 48, 64, 65 | ||
| 4 | 2.1 | Functions; Graphs of Functions | #7, 8, 9, 10, 21, 22, 28, 29, 38, 41, 43, 46, 57, 58, 71, 75, 79, 81, 82, 83 |
| 2.2 | #12, 22, 27, 37, 38, 43, 46, 51, 55, 70, 82 | ||
| 5 | 2.3 | Getting Information from Graphs;
Transformations of Functions |
#5, 7, 8, 19, 22, 25, 26 |
| 2.5 | #9, 11, 13, 37, 41, 47, 48, 60, 65, 70, 75, 77, 82 | ||
| 6 | 2.6 | Combining Functions; One-to-one Functions and Their Inverses | #7, 8, 15, 16, 18, 21, 22, 24, 25, 29, 30, 41, 42, 53, 54, 61, 64, 66 |
| 2.7 | #7, 8, 9, 10, 17, 18, 22, 23, 31, 33, 41, 49, 62, 68, 75, 76 | ||
| 7 | 1.11 | Modeling Variation; Modeling with Functions | #13, 15, 18, 22, 26, 33, 41, 42 |
| pp 213-222 | #3, 6, 12, 13, 14, 21, 22, 25, 26, 27, 29 | ||
| 8 | 3.1 | Quadratic Functions and Models; Polynomial Functions | #13, 14, 27, 33, 36, 50, 65, 66, 75 |
| 3.2 | #6, 8, 9, 10, 14, 17, 20, 27, 37, 41, 53, 54, 70, 71, 73, 81, 84 | ||
| 9 | 3.3 | Dividing Polynomials; Begin Rational Functions | #3, 6, 9, 16, 23, 24, 40, 46, 53, 57, 60 |
| 3.7 | #9, 15, 17, 18, 25, 28, 41, 42, 57, 58 | ||
| 10 | 3.7 | Finish Rational Functions; Material on Linear Modeling | #75, 76, 83, 84 |
| Pages 130-139 | #2, 5, 8 | ||
| 11 | EXAM I | ||
| 12 | 4.1 | Exponential Functions: The Natural Exponential Function | #6, 7, 15, 16, 20, 21, 27, 28, 33, 34, 48, 51 |
| 4.2 | #9, 10, 12, 22, 23, 26 | ||
| 13 | 4.3 | Logarithmic Functions | #5, 6, 10, 11, 15, 16, 17, 23, 24, 32, 33, 34, 45, 46, 49, 50, 58 | 14 | 4.3 | Logarithmic Functions continued; Laws of logarithms | #66, 67, 68, 77, 78, 87, 93, 94 |
| 4.4 | #9, 10, 13, 23, 25, 26, 41, 43, 45, 53, 55, 58, 72 | ||
| 15 | 4.5 | Exponential and Logarithmic Equations | #11, 13, 14, 25, 30, 33, 36, 43, 45, 54, 56, 77, 78, 79, 80, 83, 88 |
| 16 | 4.6 | Modeling with Exponential and Logarithmic Functions | #5, 8, 15, 16, 18, 19, 22, 25, 34 |
| 17 | 5.1 | The Unit Circle; Trigonometric Functions of Real Numbers | #5, 7, 17, 22, 27, 29, 30, 33, 35, 43, 45, 46, 54, 55 |
| 5.2 | #7, 11, 12, 17, 18, 25, 26, 34, 40, 41, 42, 47, 48, 66, 69, 73, 77, 78 | ||
| 18 | 5.3 | Trigonometric Graphs; More Trigonometric Graphs | #7, 8, 9, 10, 13, 14, 17, 25, 31, 33, 43, 44, 51, 53, 61, 62, 71, 74, 79, 80 |
| 5.4 | #1, 2, 3, 4, 5, 9, 11, 12 | ||
| 19 | 5.4 | Finish Trigonometric Graphs; Material on Modeling Logs and Exponents | #17, 31, 44, 49, 50, 53 |
| Pages 357-366 | #1, 2, 3, 6, 8 | ||
| 20 | EXAM II | ||
| 21 | 5.6 | Harmonic Motion | #3, 29, 30, 32, 37, 46 |
| 22 | 6.1 | Measuring Angles; Trigonometry of Right Triangles | #3, 6, 7, 16, 17, 20, 33, 34, 35, 45, 46, 51, 52, 54, 56, 57, 65, 73, 74, 78 |
| 6.2 | #5, 6, 9, 15, 18, 19, 21, 22, 37, 47, 50, 52, 58, 59, 60, 61 | ||
| 23 | 6.3 | Trigonometric Functions of Angles | #4, 7, 14, 25, 26, 35, 36, 37, 38, 45, 47, 51, 55, 59 |
| 24 | 5.5 | Inverse Trig Functions and Their Graphs: Inverse Trig Functions and Right Triangles | #6, 7, 13, 31, 33 |
| 6.4 | #4, 17, 18, 27, 28, 29, 33, 34, 39, 40, 41 | ||
| 25 | 6.6 | Law of Cosines; Trigonometric Identities | #3, 5, 6, 9, 16, 39, 41, 44, 48, 49 |
| 7.1 | #3, 5, 7, 15, 19, 20, 47, 53, 63, 69, 91, 97, 100 | ||
| 26 | 7.2 | Trigonometric Functions for Sums, Differences, Half Angles, and Double Angles | #5, 10, 15, 21, 25, 33, 51 |
| 7.3 | #6, 11, 17, 29, 34, 41 | ||
| 27 | 7.4 | Basic Trigonometric Equations; More Trigonometric Equations | #7, 13, 15, 27, 32, 39, 46, 53, 54 |
| 7.5 | #3, 9, 21, 32, 35, 43, 59, 60 | ||
| 28 | Catch-up and review | ||
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