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
Abbreviations:
SR=Skills Review, E&P=Exercises and Problems, GT=Go Tutorial, AQ=Additional Questions, R=Review Exercises, IT=Intelligent Tutoring
Chapter 4: Exponential functions
4.1 Introduction to the family of exponential functions
SR: S2, S4
E&P: 2, 5, 7, 8, 10, 16, 18, 20, GT25, 26, 33, 41, 42, 47, 52, 57, 63
4.2 Comparing exponential and linear functions
SR: S3, S6, S8
E&P: 2, 6, AQ1, R11, R29, 13, 20, 26, 34, 35, 38, 39, 48
4.3 Graphs of exponential functions
E&P: 2, 4, 8, 11, 13, GT15, 20, 25, 27, 28, 29, 30, 31, 47
4.4 Applications to compound interest
E&P: 2, 4, 8, 11, 16, 18, 20, 21
4.5 The number e
SR: S3, S7, S14
E&P: 4, 8, 10, GT11, 16, 30, GT32, 39, 47, 54, 55
Chapter 5: Logarithmic functions
5.1 Logarithms and their properties
SR: S1, S2, S7
E&P: AQ1, AQ2, AQ4, 3, 4, 6, 8, 10, "22-26 & 28", 29, 36, 45, 50, 52, 53, 59, 62, 64, 68, 74
5.2 Logarithms and exponential models
SR: S4, S7, S10
E&P: 5, 8, 12, 17, 20, 21, 24, 27, 28ab, GT33, 35, 41, 50, 56
5.3 The logarithmic function and its applications
SR: S2, S3, S5, S7, S10
E&P: 2, 4, 6, 8, R29, IT17, 22, 23, 24, 26, 28, 31, 35, 46, 48
5.4 Logarithmic scales (optional)
SR: S4, S8
E&P: 2, 4, 6, 8, 10, 16, 18, 22
Chapter 11: Polynomial and rational functions
11.6 Comparing power, exponential, and log functions
E&P: 1, 4, 5, 6, 8, 9, 11, 13, 14, GT20, 28, 30, 33, 34
11.7 Fitting exponentials and polynomials to data (optional)
E&P: 2, 3, 4, 8, 18, 20, 22, 23
Chapter 7: Trigonometry and periodic functions
7.1 Intro to periodic functions
E&P: 1, 3, 8, 11, 15, 16, 18-22, 31, 33, 34
7.2 The sine and cosine functions
E&P: 1, 4, 10, 12, 14, 16, 20, 22, 23, 28, 29, 33
7.3 Radians and arc length
E&P: 1-8, 10, 16, 18, 26, 28, 30, GT36, 38, 41, GT44, 46
7.4 Graphs of sine and cosine
E&P: 4, IT5, AQ1, 8, 13, 18, 20, 26, 27, 28, 40
7.5 Sinusoidal functions
E&P: 3, R42, 7, 12, 16, 20, AQ2, 22, 23, 28, GT37
7.6 The tangent function
E&P: 5, 6, 7, 8, 11, 14, 25, 35
7.7 Trigonometric functions and identities
E&P: 2, 4, 6, 9, 11, 12, 20, 22, 24, 26, 28
7.8 Inverse trig functions
E&P: 2, 3, 5, GT7, 10, 11, 18, 24, 26, 30, 32, 34, 35, AQ1
Chapter 8: Triangle trigonometry and polar coordinates
8.1 Trig functions and right triangles
E&P: 2, 4, 8, 11, 13, 16, 20, 27, 30, 34, GT37
8.2 Non-right triangles
E&P: 2, 6, 8, GT10, 14, 23, 24, 34, 35, 36, 37, 38
8.3 Polar coordinates
E&P: 1, 4, 9, 14, IT18, IT20, 21, 24, 28, 30, 34
Chapter 9: Trigonometric identities, models, and complex numbers
9.1 Trig equations
E&P: 1, 4, 6, 8, 10, 13, GT14, 19, 22, 27, 29, 32, 37, 39
9.2 Identities expressions, and equations
E&P: 1-4, 5-8, GT9, 12, 15, 16, GT17, 22, 35, 46, 49, 54ab
9.3 Sum and difference formulas for sine and cosine
E&P: 1, 3, 6, 8, 12, 13-16, 24
9.6 Complex numbers & De Moivre’s theorem (optional)
E&P: 1, 2, R15-16, 8, GT12, GT15, 18, 20, 33
Chapter 10: Compositions, inverses, and combinations of functions
10.1 Composition of functions
E&P: 6, R4, R5, GT14, 20, 22, 26, 28, 33, 34
10.2 Invertibility and properties of inverse functions
E&P: 5, R11, 14, 16, 17, 23, AQ1, 32, R15, R18, 50, 51, 53, 58
10.3 Combinations of functions
E&P: 1, 9, 16, 18, 31, 32, GT25, GT43, 42, 45
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