Loyola University Chicago

Mathematics and Statistics

MATH 118: Precalculus II

Credit Hours



Math Placement or MATH 117


Exponential and logarithmic functions. Trigonometric functions, trigonometric identities and equations. Law of sines, law of cosines, area problems, and Heron's formula. The complex plane and DeMoivre's theorem. Vectors and parametric equations. Polar coordinates. Mathematical induction. Review of conic sections. Optimization problems. Gaussian elimination, partial fractions. Word problems emphasized throughout the course.

Carl Stitz and Jeff Zeager. Precalculus (packaged with WebAssign), 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.