# Courses

## 01:640:115 - Precalculus College Mathematics

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### 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.

### SYLLABUS

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