MATH 118
Functions Modeling Change: A Preparation for Calculus, 5th Edition, Eric Connally, Deborah Hughes-Hallett, Andrew M. Gleason packaged with WileyPlus.
Common Syllabus for MATH 118
Textbook: Functions Modeling Change(5th ed.) by Connally, Hughes-Hallett, Gleason, et al.
Chapter 4: Exponential functions
4.1 Introduction to the family of exponential function
4.2 Comparing exponential and linear functions
4.3 Graphs of exponential functions
4.4 Applications to compound interest
4.5 The number e
Chapter 5: Logarithmic functions
5.1 Logarithms and their properties
5.2 Logarithms and exponential models
5.3 The logarithmic function and its applications
5.4 Logarithmic scales
Chapter 11: Polynomial and rational functions
11.6 Comparing power, exponential, and log functions
11.7 Fitting exponentials and polynomials to data
Chapter 7: Trigonometry and periodic functions
7.1 Introduction to periodic functions
7.2 The sine and cosine functions
7.3 Radians and arc length
7.4 Graphs of the sine and cosine
7.5 Sinusoidal functions
7.6 The tangent function
7.7 Trigonometric functions and identities
7.8 Inverse trigonometric functions
Chapter 8: Triangle trigonometry and polar coordinates
8.1 Trig functions and right triangles
8.2 Non-right triangles
8.3 Polar coordinates
Chapter 9: Trigonometric identities, models, and complex numbers
9.1 Trigonometric equations
9.2 Identities, expressions, and equations
9.3 Sum and difference formulas for sine and cosine
9.6 Complex numbers and De Moivre’s theorem
Chapter 10: Compositions, inverses, and combinations of functions
10.1 Composition of functions
10.2 Invertibility and properties of inverse functions
10.3 Combinations of functions
Below are “core problems” that we expect students to be able to solve to ensure understanding of the material in the course syllabus. The WebAssign core homework problems are taken from Precalculus (3rd ed.) by Carl Stitz and Jeff Zeager.
| Review of Material from MATH 117 | |
|---|---|
| 1.7 | 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 44, 50, 51, 52, 53, CYM.001 |
| 5.2 | 1, 4, 5, 11, 14, 17, 22, 24, 27 |
| Chapter 6. Exponential and Logarithmic Functions | |
| 6.1 | 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 32, 34, 36, 39, 44, 49, 71, 72, 75 |
| 6.2 |
1, 2, 3, 4, 5, 7, 9, 10, 11, 16, 19, 24, 25, 30, 31, 32, 33, 36, 37, 42 |
| 6.3 |
2, 5, 6, 7, 8, 13, 14, 17, 21, 24, 25, 27, 28, 40, 41, 42, 47 |
| 6.4 |
2, 9, 12, 16, 17, 18, 20, 21, 24, 31, 38 |
| 6.5 |
10, 11, 14, 15, 16, 17, 18, 28, 31, 33 |
| Chapter 10. Foundations of Trigonometry | |
| 10.1 |
3, 8, 9, 15, 16, 30, 36, 38, 40, 53, 55, 58, 59 |
| 10.2 |
3, 5, 6, 8, 11, 16, 21, 22, 23, 24, 31, 32, 36, 42, 49, 60, 61, 64, 66 |
| 10.3 |
2, 3, 5, 11, 18, 22, 24, 35, 37, 43, 44, 50, 53, 76, 78, 81, 91, 93, 95, 102, 110, 117, 123, 128 |
| 10.4 |
16, 17, 20, 24, 33, 46, 47, 48, 49, 52, 59, 66, 69, 73, 91 |
| 10.5 | 4, 7, 8, 11, 14, 15, 27 |
| 10.6 |
1, 3, 4, 6, 10, 12, 14, 15, 19, 20, 21, 23, 25, 165, 166, 167, 170 |
| 10.7 | 1, 2, 4, 11, 15, 17, 21, 38, 43, 58 |
| Chapter 11. Applications of Trigonometry | |
| 11.2 | 1, 2, 5, 7, 20, 22, 25 |
| 11.3 | 1, 2, 6, 7, 11, 16, 17, 18, 25 |
| 11.4 | 1, 5, 10, 17, 19, 36, 38, 39, 58, 59, 65, 75, 77, 81, 94 |
| 11.7 | 1, 7, 9, 15, 29, 32, 34, 41, 42, 44, 46, 71 |
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