- Syllabus: Spring 2019
- Handout: The Language of Functions *
- Exam 1 Review Exercises: Fall 2019
- Exam 2 Review Exercises: Fall 2019
- Math 115 Final Review Exercises: SPRING 2019
- Math 115 Final Exam from Fall 2016
- Math 115 Final Exam from Fall 2016: ANSWERS
- Math 115 Formula Sheet SPRING 2019
- Current Semester

*This document requires at least Acrobat 5.0 or above in order to view it.

### Course Description

**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.

Textbook: For current textbook please refer to our Master Textbook List page |
|||

Lecture |
Sections |
Topics |
Homework Problems |

- | 1.1 | Review material to be spread over first month | #16, 30, 40, 42, 43, 50, 51, 55, 63, 76 |

1.2 | #10, 11, 12, 19, 25, 40, 66, 67, 74, 88 | ||

1.3 | #30, 35, 41, 47, 49, 52, 58, 60, 63, 66, 67, 81, 86, 90, 101, 102 | ||

1.4 | #21, 33, 34, 45, 57, 67, 70, 83, 90, 93 | ||

1.5 | #21, 22, 29, 35, 38, 50, 51, 59, 62, 70, 75, 90, 107, 108 | ||

1 | 1.7 | Modeling with Equations | #13, 28, 38, 41, 44, 53, 57, 58, 63, 65, 69, 70, 71 |

2 | 1.9 | Coordinate Geometry; Lines | #21, 31, 35, 36, 41, 51, 92, 93, 94, 99, 100, 108, 109, 111 |

1.10 | #7, 10, 19, 20, 33, 47, 54, 87, 92 | ||

3 | 1.8 | Inequalities; Solving Equations and Inequalities Graphically | #30, 35, 41, 47, 49, 52, 58, 63, 66, 67, 70, 81, 86, 90, 101, 102 |

1.11 | #5, 15, 17, 18, 22, 38, 39 | ||

4 | 2.1 | Functions; Graphs of Functions | #7, 8, 11, 12, 25, 26, 32, 33, 46, 49, 51, 54, 65, 66, 79, 85, 88, 90, 91, 92 |

2.2 | #10, 23, 37, 38, 43, 46, 51, 55, 70, 82 | ||

5 | 2.3 | Getting Information from a Graph; Linear Functions and Models; Transformations of Functions | #7, 8, 9, 31, 34, 37, 38 |

2.5 | #7, 12, 13, 18, 22, 28, 33, 40, 43 | ||

2.6 | #13, 17, 45, 49, 55, 56, 68, 73, 78, 83, 85, 90 | ||

6 | 2.7 | Combining Functions; One-to-one Functions and Their Inverses | #13, 14, 21, 22, 24, 27, 28, 30, 31, 35, 36, 53, 54, 65, 66, 75, 78, 82 |

2.8 | #9, 10, 11, 12, 19, 20, 26, 27, 43, 45, 51, 59, 72, 80, 87, 88 | ||

7 | 1.12 | Modeling Variation; Modeling with Functions | #15, 17, 20, 21, 24, 28, 37, 42, 47 |

pp 237-244 | #4, 6, 12, 13, 21, 22, 25, 26, 27, 28 | ||

8 | 3.1 | Quadratic Functions and Models; Polynomial Functions | #15, 16, 29, 46, 53, 54, 63 |

3.2 | #6, 8, 9, 10, 14, 18, 24, 31, 41, 45, 57, 58, 74, 75, 77, 87, 90 | ||

9 | 3.3 | Dividing Polynomials; Rational Functions; Begin Polynomial and Rational Inequalities | #12, 15, 23, 24, 40, 46, 53, 59, 64 |

3.6 | #11, 25, 27, 28, 35, 38, 43, 44, 54, 55, 79, 80, 87, 88 | ||

3.7 | #3, 7, 19, 27, 35 | ||

10 | 3.7 | Finish Polynomial and Rational Inequalities; Material on Linear Modeling | #37, 42, 47 |

Pages 139-146 | #2, 5, 8 | ||

11 | EXAM I |
||

12 | 4.1 | Exponential Functions: The Natural Exponential Function | #8, 9, 17, 18, 22, 23, 27, 32, 33, 54, 57 |

4.2 | #11, 12, 14, 24, 25, 28 | ||

13 | 4.3 | Logarithmic Functions | #7, 8, 12, 13, 19, 20, 23, 29, 30, 40, 41, 42, 53, 54, 57, 58 |

14 | 4.3 | Logarithmic Functions continued; Laws of logarithms | #69, 76, 77, 78, 87, 88, 97, 101 |

4.4 | #9, 16, 17, 25, 31, 32, 47, 48, 57, 59, 62, 76 | ||

15 | 4.5 | Exponential and Logarithmic Equations | #21, 24, 27, 37, 40, 45, 48, 61, 66, 77, 91, 92, 93, 94, 97, 102 |

16 | 4.6 | Modeing With Exponential Functions; Logarithmetic Scales | #5, 8, 15, 16, 18, 19, 22, 25 |

4.7 | #6, 8, 15 | ||

17 | 5.1 | The Unit Circle; Trigonometric Functions of Real Numbers | #5, 7, 17, 22, 27, 32, 33, 45, 47, 48, 56, 57 |

5.2 | #7, 11, 12, 17, 18, 23, 24, 32, 38, 39, 40, 45, 46, 67, 71, 75, 76 | ||

18 | 5.3 | Trigonometric Graphs; More Trigonometric Graphs | #9, 10, 11, 12, 15, 16, 19, 29, 35, 37, 47, 48, 55, 57, 67, 68, 77, 80, 85, 86 |

5.4 | #1, 2, 3, 4, 5, 9, 11, 12, 17 | ||

19 | 5.4 | Finish Trigonometric Graphs; Material on Modeling Logs and Exponents | #26, 48, 55, 56, 59 |

Pages 392-400 | #1, 2, 5, 7 | ||

20 | EXAM II |
||

21 | 5.6 | Harmonic Motion | #5, 41, 42, 44, 49, 58 |

22 | 6.1 | Measuring Angles; Trigonometry of Right Triangles | #6, 8, 10, 18, 19, 22, 35, 36, 37, 47, 48, 54, 55, 58, 59, 60, 68, 79, 80, 84 |

6.2 | #5, 6, 9, 19, 22, 23, 25, 26, 43, 53, 56, 58, 64, 65, 66, 67 | ||

23 | 6.3 | Trigonometric Functions of Angles | #5, 9, 25, 26, 37, 38, 39, 40, 47, 49, 53, 58, 63 |

24 | 5.5 | Inverse Trig Functions and Their Graphs: Inverse Trig Functions and Right Triangles | #6, 7, 13, 35, 36 |

6.4 | #8, 19, 20, 25, 26, 29, 31, 35, 36, 41, 42, 43 | ||

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, 23, 54, 56, 62, 66, 89, 95, 98 | ||

26 | 7.2 | Trigonometric Functions for Sums, Differences, Half Angles, and Double Angles | #5, 10, 15, 21, 25, 35, 55 |

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 |