- Syllabus
- Handout: The Language of Functions
- Exam 1 Review Exercises: Spring 2026
- Exam 2 Review Exercises: Spring 2026
- Exam 3 Review Exercises: Spring 2026
- Math 115 Final Review Exercises: Spring 2021
- Math 115 Final Exam from Fall 2016
- Math 115 Final Exam from Fall 2016: ANSWERS
- Math 115 Formula Sheet Spring 2021
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 than 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 extensive review of intermediate algebra.
Algebraic expressions, algebraic equations, inequalities, functions, graphing. Exponential, logarithmic, and trigonometric functions.
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Textbook: For current textbook please refer to our Master Textbook List page A more detailed list of learning goals can be found here. |
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Class |
Sections |
Topics |
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1.1 |
Real Numbers (Student covers on own.) |
|
1 |
1.2 |
Exponents and Radical |
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1.3 |
Algebraic Expressions |
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|
2 |
1.4 |
Fractional Expressions |
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1.5 |
Equations |
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|
3 |
1.7 |
Modeling with Equations |
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4 |
Exam 1 |
Covers Chapters 1.1 – 1.5 |
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5 |
1.9 |
Coordinate Geometry |
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1.10 |
Lines |
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6 |
1.8 |
Inequalities |
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1.11 |
Solving Equations & Inequalities Graphically |
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|
7 |
2.1 |
Functions |
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2.2 |
Graphs of Functions |
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8 |
2.3 |
Getting Information from a Graph |
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2.5 |
Linear Functions & Models |
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2.6 |
Transformation of Functions |
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9 |
2.7 |
Combining Functions |
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2.8 |
Begin One-to-One Functions and Their Inverses |
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10 |
2.8 |
Finish One-to-One Functions and Their Inverses |
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3.1 |
Quadratic functions |
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|
11 |
pp 237-244 |
Modeling with Functions |
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3.2 |
Graphing Polynomials |
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|
12 |
Catchup and Review |
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13 |
Exam 2 |
Covers Chapters 1.7 – 1.12 & Chapter 2 |
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14 |
3.6 |
Graphing Rational Functions |
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3.7 |
Polynomial & Rational Inequalities |
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15 |
4.1 |
Exponential Functions |
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4.2 |
Natural Exponential Functions |
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16 |
4.3 |
Begin Logarithmic Functions |
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17 |
4.3 |
Finish Logarithmic Functions |
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4.4 |
Laws of Logarithms |
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18 |
4.5 |
Exponential & Logarithmic Equations |
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19 |
4.6 |
Modeling with Exponential Functions |
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4.7 |
Modeling with Logarithmic Scales |
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20 |
5.1 |
The Unit Circle |
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Catch Up and Review |
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21 |
Exam 3 |
Covers Chapters 3 & 4; pp 237-244 |
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22 |
5.2 |
Trigonometric Functions of Real Numbers |
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23 |
5.3/5.4 |
Graphing Sine, Cosine & Other Trigonometric Functions |
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6.1 |
Measuring Angles |
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24 |
6.2 |
Trigonometric Functions of Real Numbers |
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6.3 |
Trigonometric Functions of Angles |
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25 |
5.5 |
Inverse Trigonometric Functions |
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6.4 |
Inverse Trigonometric Functions & Right Triangles |
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26 |
6.6 |
Law of Cosines |
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7.1 |
Trigonometric Identities |
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27 |
7.2 |
Trigonometric Sums & Differences |
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7.4 |
Solving Trigonometric Equations |
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28 |
Catchup and Review |
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