# MATH 118

Functions Modeling Change (6th ed.) by Connally, Hughes-Hallett, Gleason, et al.

Common Syllabus for MATH 118

Textbook:  Functions Modeling Change (6th 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 (optional)

Chapter 11: Polynomial and rational functions
11.6 Comparing power, exponential, and log functions
11.7 Fitting exponentials and polynomials to data (optional)

Chapter 7: Trigonometry and periodic functions
7.1 Introduction to periodic functions
7.2 The sine and cosine functions
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

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
9.4 Polar Coordinates
9.5 Complex numbers and De Moivre’s theorem (optional)

Chapter 10: Compositions, inverses, and combinations of functions
10.1 Composition of functions
10.2 Revisiting Inverse 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

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

Math 118 Common Final Study Materials

Calculators will be permitted on the exam, however devices with a CAS (computer algeabra system) will not be permitted during the exam. We provide sample exams and study materials here from previous academic years. We plan for the Spring 2023 final exam to be administered in person on the Loyola campus.

We provide three pdf files:

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