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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. |
| Text: Stewart, Redlin, and Watson, Precalculus: Mathematics for Calculus, 4th Ed., 2002: Brooks/Cole Publishing Co. | |||
| Lecture | Sections | Topics | Homework Problems |
| - | 1.1 | Review material to be spread over first month | #6,15,21,22,25,32,37,38,49,56 |
| 1.2 | #5,6,11,12,31,38,54,63,69,71,73,79,86,90 | ||
| 1.3 | #7,15,18,24,67,70,75,77,84,88,91 | ||
| 1.4 | #15,29,33,37,57,65,73,74,76 | ||
| 1.5 | #1,13,16,19,26,43,44,47,60,66,67,74,82,83,90 | ||
| 1 | 1.6 | Modeling with Equations | #3,13,28,41,43,47,49,53,55,59,60,61 |
| 2 | 1.8 | Coordinate Geometry; Lines | #3,9,17,22,24,29,37,41,49,67,69,76,82 |
| 1.10 | #3,11,23,31,38,43,52,63,65,66,69 | ||
| 3 | 1.7 | Inequalities; Solving Equations and Inequalities Graphically | #9,21,25,33,41,44,53,61,70,74 |
| 1.9 | #3,6,9,20,24,35,37,38,41,42,54,55 | ||
| 4 | 2.1 | Functions; Graphs of Functions | #3,4,7,8,15,16,22,23,32,33,38,45,46,57,58,
60,66,68,69,71,72 |
| 2.2 | #2,3,4,5,9,13,18,26,29,37,54,63,64,69,72,75 | ||
| 5 | 2.4 | Increasing and Decreasing Functions;
Transformations of Functions; Extreme Values of Functions |
#23,26,31,33 |
| 2.5 | #6,8,11,35,38,41,42,45,51,53,59 | ||
| 2.6 | #7,8,25,28 | ||
| 6 | 2.6 | Finish Extreme Values of Functions; Modeling with Functions; Variation | #41,43,46,55 |
| 2.7 | #3,6,12,13,14,23,24,29,30,31 | ||
| 2.3 | #11,13,16,17,20,27 | ||
| 7 | 2.8 | Combining Functions; One-to-one Functions and Their Inverses | #3,4,11,12,14,17,18,20,21,25,26,37,39,49,50,55,60,61 |
| 2.9 | #3,4,5,6,13,14,18,19,27,39,40,52,58 | ||
| 8 | 3.1 | Polynomial Functions; Dividing Polynomials | #2,4,7,13,16,23,33,37-42,43,51,52,68,69,71,76,77 |
| 3.2 | #1,2,9,10,26,32,39,43 | ||
| 9 | 3.6 | Rational Functions | #3,7,8,11,12,27,28,35,36,41,42,47,59,60,61,62,68,69 |
| 10 | Modeling Pages 246-255 |
Material on Modeling | Page 250 #2,6,7 |
| 11 | EXAM I | ||
| 12 | 4.1 | Exponential Functions | #2,3,4,5,11,12,17,18,21,22,31,32,33,39,
40,41,44,45,48,51,52,55 |
| 13 | 4.2 | Begin Logarithmic Functions | #3,4,5,9,10,11,17,18,27,28,35,36,40,43,52 |
| 14 | 4.2 | Logarithmic Functions continued; Laws of logarithms | #60,61,62,69-72,77,78 |
| 4.3 | #5,7,8,23,25,26,33,35,36,39,47,49,52,58,62 | ||
| 15 | 4.4 | Exponential and Logarithmic Equations | #9,11,12,41,43,50,51,52,57,58,59,60,68,69,76,79,80 |
| 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 | #3,7,12,17,19,20,23,25,33,35,36,44,45 |
| 5.2 | #7,9,10,21,22,23,24,32,36,37,38,51,52,65,69,73,74 | ||
| 18 | 5.3 | Trigonometric Graphs; More Trigonometric Graphs | #5,6,7,8,11,14,23,25,26,35,36,41,43,
50,55,56,57,58,65,68 |
| 5.4 | #1,3,4,9 | ||
| 19 | 5.4 | Finish Trigonometric Graphs; Material on Modeling Logs and Exponents | #23,36,41,42,45 |
| Pages 394 - 407 |
Page 403 #1,2,3,5,6 | ||
| 20 | EXAM II | ||
| 21 | Pages 455 - 471 |
Modeling periodicity | Page 466 #1,7,8,15,28 |
| 22 | 6.1 | Measuring Angles; Trigonometry of Right Triangles | #1,4,5,12,14,15,18,19,23,25,35,41,44,46,47,53,54,59 |
| 6.2 | #3,7,13,15,17,19,20,33,35,38,41,42,48,49,51 | ||
| 23 | 6.3 | Trigonometric Functions of Angles | #19,21,22,31,32,41,43,47,51,54 |
| 24 | 6.5 | Law of Cosines; Trigonometric Identities | #1,3,4,7,27,29,32,36,37 |
| 7.1 | #1,5,11,15,16,43,49,52,63,85,91,94 | ||
| 25 | 7.2 | Trigonometric Functions for Sums, Differences, Half Angles, and Double Angles | #3,6,13,17,21,29,34,49 |
| 7.3 | #4,11,16,23,28,33,55,65 | ||
| 26 | 7.4 | Inverse Trigonometric Functions | #3,5,19,20,31,32,43,44,50,51,54 |
| 27 | 7.5 | Trigonometric Equations | #5,6,15,16,35,39,44,49,54,55,56,67,77,78 |
| 28 | Catch-up and review | ||
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