Loyola University Chicago

Mathematics and Statistics

MATH 117: Precalculus I

Course Details
Credit Hours: 3

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.

Carl Stitz and Jeff Zeager. Precalculus (WebAssign eBook), 3rd edition.

Chapter 1: Relations and Functions
    1.1  Sets of Real Numbers and The Cartesian Coordinate Plane
    1.2  Relations
    1.3  Introduction to Functions
    1.4  Function Notation
    1.5  Function Arithmetic
    1.6  Graphs of Functions
    1.7  Transformations

Chapter 2: Linear and Quadratic Functions
    2.1  Linear Functions
    2.2  Absolute Value Functions
    2.3  Quadratic Functions
    2.4  Inequalities with Absolute Value and Quadratic Functions

Chapter 3: Polynomial Functions
    3.1  Graphs of Polynomials
    3.2  The Factor Theorem and the Remainder Theorem
    3.3  Real Zeros of Polynomials
    3.4  Complex Zeros and the Fundamental Theorem of Algebra

Chapter 4: Rational Functions
    4.1  Introduction to Rational Functions
    4.2  Graphs of Rational Functions

Chapter 5: Further Topics in Functions
    5.1  Function Composition
    5.2  Inverse Functions
    5.3  Optional: Other Algebraic Functions

Chapter 7: Hooked on Conics
    7.2  Circles

Chapter 8: Systems of Equations and Matrices
    8.1  Systems of Linear Equations: Gaussian Elimination
    8.2  Systems of Non-Linear Equations and Inequalities

See Course Page for additional resources.