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, 5th Ed.,
2006: Thomson Brooks/Cole Publishing Co.
(ISBN: 0-534-49277-0; ISBN13: 9780534492779) |
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| Lecture | Sections | Topics | Homework Problems |
| - | 1.1 | Review material to be spread over first month | #8,25,33,34,37,44,49,50,63,72 |
| 1.2 | #4,15,16,27,42,51,68,71,75,81,95,101 | ||
| 1.3 | #15,21,24,30,91,94,97,98,103,104,105 | ||
| 1.4 | #27,43,47,51,71,81,89,90,92 | ||
| 1.5 | #1,13,16,25,27,34,42,49,79,80,82,83,87,96,97,102,105,112 | ||
| 1 | 1.6 | Modeling with Equations | #5,20,36,42,49,53,55,59,61,65,66,67 |
| 2 | 1.8 | Coordinate Geometry; Lines | #3,13,21,26,28,33,43,55,75,77,84,85,89,90 |
| 1.10 | #3,11,23,31,38,45,54,62,67,68,71 | ||
| 3 | 1.7 | Inequalities; Solving Equations and Inequalities Graphically | #9,21,25,33,39,41,49,55,58,69,72,87,88 |
| 1.9 | #3,6,9,20,24,35,37,38,41,42,54,55 | ||
| 4 | 2.1 | Functions; Graphs of Functions | #3,4,7,8,15,16,22,23,32,35,37,40,51,52,54,62,65,69,71,72,73 |
| 2.2 | #8,12,19,23,25,26,31,36,41,42,47,50,55,59,74,89 | ||
| 5 | 2.3 | Increasing and Decreasing Functions (Skip Average Rates);
Transformations of Functions; Begin Quadratic Functions |
#1,4,9,11 |
| 2.4 | #6,8,19,43,46,49,50,53,59,61,63,69 | ||
| 2.5 | #9,12,29,32,46 | ||
| 6 | 2.5 | Finish Quadratic Functions: Maxima and Minima;
Modeling with Functions; Modeling Variation |
#61,63,66 |
| 2.6 | #3,6,12,13,14,23,24,29,30,31 | ||
| 1.11 | #11,13,16,17,20,27,35 | ||
| 7 | 2.7 | Combining Functions; One-to-one Functions and Their Inverses | #3,4,11,12,14,17,18,20,21,25,26,37,39,49,50,57,61,62 |
| 2.8 | #3,4,5,6,13,14,18,19,27,29,39,40,52,58,65,66 | ||
| 8 | 3.1 | Polynomial Functions; Dividing Polynomials | #2,4,5-10,13,16,23,33,37,49,50,66,67,69,77,79 |
| 3.2 | #1,4,7,14,21,22,38,44,51,55 | ||
| 9 | 3.6 | Rational Functions | #3,9,11,12,17,18,33,34,49,50,67,68,69,70,75,76,77 |
| 10 | Modeling Pages 239-247 |
Material on Modeling | Page 243 #2,5,8,10 |
| 11 | EXAM I | ||
| 12 | 4.1 | Exponential Functions | #2,3,5,9,17,18,23,24,27,28,37,38,51,52,53,
66,67,70,77,78,81 |
| 13 | 4.2 | Begin Logarithmic Functions | #2,6,7,11,12,13,19,20,29,30,37,38,42,46,54,62,63 |
| 14 | 4.2 | Logarithmic Functions continued; Laws of logarithms | #64,71,72,73,74,79,85,86 |
| 4.3 | #3,4,7,17,19,20,35,37,38,39,47,49,52,58,66 | ||
| 15 | 4.4 | Exponential and Logarithmic Equations | #9,11,12,23,27,29,32,41,43,50,51,52,62,65,66,
69,70,71,72,77,82 |
| 16 | 4.5 | Modeling with Exponential and Logarithmic Functions | #3,8,11,12,15,17,20,23,32 |
| 17 | 5.1 | The Unit Circle; Trigonometric Functions of Real Numbers | #3,5,15,20,25,27,28,31,33,41,43,44,52,53 |
| 5.2 | #5,7,9,10,15,16,23,24,32,38,39,40,53,54,64,67,71,75,76 | ||
| 18 | 5.3 | Trigonometric Graphs; More Trigonometric Graphs | #5,6,7,8,11,12,15,23,29,31,41,42,49,
51,59,60,61,62,69,72,77,78 |
| 5.4 | #1-6,7,9 | ||
| 19 | 5.4 | Finish Trigonometric Graphs; Material on Modeling Logs and Exponents | #10,15,29,42,47,48,51 |
| Pages 386 - 397 |
Page 393 #1,2,3,6,7 | ||
| 20 | EXAM II | ||
| 21 | 5.5 | Modeling periodicity | #1,27,28,35,44 |
| 22 | 6.1 | Measuring Angles; Trigonometry of Right Triangles | #1,4,5,14,15,18,31,33,43,49,52,54,55,63,71,72 |
| 6.2 | #3,7,13,15,17,19,20,37,45,48,51,52,58,59,61 | ||
| 23 | 6.3 | Trigonometric Functions of Angles | #23,24,33,34,43,45,49,53,57 |
| 24 | 6.5 | Law of Cosines; Trigonometric Identities | #1,3,4,7,27,32,37,39,42,46,47 |
| 7.1 | #1,5,13,17,18,45,51,61,67,89,95,98 | ||
| 25 | 7.2 | Trigonometric Functions for Sums, Differences, Half Angles, and Double Angles | #3,8,13,19,23,31,36,51 |
| 7.3 | #4,11,16,27,32,39,61 | ||
| 26 | 7.4 | Inverse Trigonometric Functions | #3,4,19,20,31,32,43,44,50,53,54,55 |
| 27 | 7.5 | Trigonometric Equations | #5,6,15,17,18,37,41,46,51,56,57,58,65,75,76,78 |
| 28 | Catch-up and review | ||
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