MATH 117: Precalculus I

Course Details
Credit Hours: 3
Prerequisites:

MATH 100 with a grade of C- or higher, or Math Placement Assessment.

Description:  The study of functions, their graphs, and their basic properties. Emphasis is placed on polynomial functions, including linear and quadratic functions. Computing real and complex roots of polynomials is explored. Additional topics include: the study of rational functions, absolute value functions, and inverse functions; and solutions of systems of equations.

Functions Modeling Change: A Preparation for Calculus, 5th Edition, Eric Connally, Deborah Hughes-Hallett, Andrew M. Gleason packaged with WileyPlus.

Chapter 1: Linear Functions and Change

1.1 Functions and Function Notation
1.2 Rates of Change
1.3 Linear Functions
1.4 Formulas for Linear Functions
1.5 Modeling with Linear Functions
1.6 Fitting linear functions to data

Chapter 2: Functions

2.1 Input and Output
2.2 Domain and Range
2.3 Piecewise-defined functions
2.4 Preview of Transformations: Shifts
2.5 Preview of Composite and Inverse Functions
2.6 Concavity

3.1 Introduction to the Family of Quadratic Functions
3.2 The vertex of a Parabola

Chapter 6: Transformations and their graphs

6.1 Shifts, reflections, and symmetry
6.2 Vertical stretches and compressions
6.3 Horizontal stretches and combinations of transformations

Chapter 11: Polynomial and Rational Functions

11.1 Power functions and proportionality
11.2 Polynomial functions
11.3 The short-run behavior of polynomials
11.4 Rational functions
11.5 The short-run behavior of rational functions

Chapter 1: Linear Functions and Change

1.1 Functions and Function Notation
SR: 2, 4, 7, 8, 10&
E&P: 2, 5, 7, 9, 10, 13, 14, 16, 24, 25, 26, 28, 32, 33, 35, 42, 46

1.2 Rates of Change
SR: 4, 8, 10
E&P: 4, 8, 10, 11, 12, 13, 18, 20, 22, 23, 26, 28, 31

1.3 Linear Functions
SR: 2, 4, 6, 8
E&P: 2, 6, 8, 10, 12, 14, 16, 18, 20, 29, 30, 36

1.4 Formulas for Linear Functions
SR: 4, 7, 8, 9
E&P: 3, 4, 8, 10, 15, 22, 27, 28, 36, 42, 46, 47, 52, 54, 59, 61

1.5 Modeling with Linear Functions
SR: 2, 4, 7, 8, and p. 66 #24, 26, 30
E&P: 2, 4, 8, 10, 14, 16, 18, 28, 32

1.6 Fitting linear functions to data (optional)

E&P: 2, 4, 6, 7, 8, 9, 10, 11, 12

Chapter 2: Functions

2.1 Input and Output

SR: 3, 4, 6, 8
E&P: 1, 2, 4, 6, 10, 16, 18, 22, 26, 28, 34, 44

2.2 Domain and Range

SR: 2, 4, 8, 10, 12
E&P: 4, 6, 8, 10, 12, 16, 24, 26, 30, 36, 38

2.3 Piecewise-defined functions

SR: 4, 8, 9, 10
E&P: 2, 4, 6, 10, 14, 17, 20, 24, 26, 28, 31

2.4 Preview of Transformations: Shifts

SR: 2, 6, 8
E&P: 1, 2, 4, 6, 7, 8, 9, 10, 12, 14, 16, 18, 26

2.5 Preview of Composite and Inverse Functions

SR: 2, 3, 4, 10, 11
E&P: 2, 4, 7, 8, 9, 10, 11, 13, 16, 30, 34, 40, 44, 46, 52, 56, 58

2.6 Concavity

E&P: 2, 3, 4, 10, 12, 14, 16, 18, 22, 24, 26

3.1 Introduction to the Family of Quadratic Functions

SR: 4, 5, 8, 10
E&P: 2, 7, 9, 10, 12, 14, 20, 22, 26, 28, 32, 34, 36, 37, 42

3.2 The vertex of a Parabola

SR: 2, 4, 5, 6, 8, 10
E&P: 1, 2, 4, 8, 10, 12, 17, 18, 28, 30, 32, 38, 40

Chapter 6: Transformations and their graphs

Skip any problems in this chapter using exponential or logarithmic functions.

6.1 Shifts, reflections, and symmetry

SR: 6, 8, 10
E&P: 2, 3, 4, 8, 12, 16, 22, 24, 25, 27, 31, 32, 38, 44, 48

6.2 Vertical stretches and compressions

SR: 1, 2
E&P: 1, 2, 4, 8, 9, 10, 11, 12, 16, 22, 28, 29, 34, 36, 37, 39

6.3 Horizontal stretches and combinations of transformations

SR: 2, 4, 14, 16
E&P: 1, 2, 8, 10, 14, 18, 20, 25, 28, 32, 36, 41, 44, 48, 50, 52

Chapter 11: Polynomial and Rational Functions

11.1 Power functions and proportionality

SR: 2, 4, 6, 8, 10
E&P: 1, 5, 8, 10, 14, 18, 21, 22, 27, 32, 34, 35, 47, 52, 54, 55

11.2 Polynomial functions

SR: 1, 4, 6, 8
E&P: 6, 8, 11, 16, 19, 22, 27, 32, 34, 36, 40, 43, 44, 46

11.3 The short-run behavior of polynomials

SR: 2, 4, 5, 7
E&P: 2, 4, 6, 8, 9, 12, 13, 20, 26, 28, 30, 36, 44, 49

11.4 Rational functions

SR: 2, 3, 4, 6, 8
E&P: 8, 10, 14, 16, 18, 20, 22 / 24, 27, 28, 29, 30, 32, 35

11.5 The short-run behavior of rational functions

E&P: 1, 2, 4, 6, 8, 10 / 12, 14, 16, 20, 28, 31, 34, 38, 46

See Course Page for additional resources.