Loyola University Chicago

Mathematics and Statistics

MATH 118: Precalculus II

Credit Hours

3

Prerequisites

MATH 117 with a grade of C- or higher, or Math Placement Assessment

Description

A continuation of MATH 117 focusing on exponential, logarithmic, trigonometric, and inverse trigonometric functions, their graphs, and their properties. Techniques for solving equalities involving these functions are examined. Trigonometric identities, sum and difference formulas, double and half-angle formulas, the Laws of Sines and Cosines, and polar coordinates are also considered.

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

Chapter 6: Exponential and Logarithmic Functions
    Review  Section 5.2: Inverse Functions
    6.1  Introduction to Exponential and Logarithmic Functions
    6.2  Properties of Logarithms
    6.3  Exponential Equations and Inequalities
    6.4  Logarithmic Equations and Inequalities
    6.5  Applications of Exponential and Logarithmic Functions

Chapter 10: Foundations of Trigonometry
    10.1  Angles and their Measure
    10.2  The Unit Circle: Cosine and Sine
    10.3  The Six Circular Functions and Fundamental Identities
    10.4  Trigonometric Identities
    Review Section 1.7: Transformations
    10.5  Graphs of the Trigonometric Functions
    10.6  The Inverse Trigonometric Functions
    10.7  Trigonometric Equations and Inequalities

Chapter 11: Applications of Trigonometry
    11.2  The Law of Sines
    11.3  The Law of Cosines
    11.4  Polar Coordinates
    11.7  Polar Form of Complex Numbers

See Course Page for additional resources.