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Loyola University Chicago

Mathematics and Statistics

MATH 118: Precalculus

Credit Hours

3

Prerequisites

Math Placement Test or MATH 117

Description

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.

See Course Page for additional resources.

Textbook

Axler, Sheldon. Precalculus: A Prelude to Calculus, 2nd Edition. Paperback (packaged with WileyPLUS) ISBN: 978-1-118-55625-2. Hoboken, NJ: Wiley, 2012.

Textbook Note

Students who were enrolled in MATH 117 or MATH 118 in Spring 2014 will not need to purchase this new edition of the textbook. (See course instructor for more details.)

Common Syllabus for MATH 118

All sections and chapters referred to are from Precalculus: A Prelude to Calculus

Review of material from Math 117 [1.5 weeks]
Material from Sections 1.1, 1.2, 1.4, 1.5, 1.6, 2.3, and Chapter 3

Chapter 4: Trigonometric Functions [2.5 weeks]
4.1 - The Unit Circle
4.2 - Radians
4.3 - Cosine and Sine
4.4 - More Trigonometric Functions
4.5 - Trigonometry in Right Triangles
4.6 - Trigonometric Identities

Chapter 5: Trigonometric Algebra and Geometry [3 weeks]
5.1 - Inverse Trigonometric Functions
5.2 - Inverse Trigonometric Identities (optional)
5.3 - Using Trigonometry to Compute Area
5.4 - The Law of Sines and the Law of Cosines
5.5 - Double-Angle and Half-Angle Formulas
5.6 - Addition and Subtraction Formulas

Chapter 6: Applications of Trigonometry [3 weeks]
Briefly review material from Chapter 1.3: Function Transformations and Graphs
6.1 - Transformations of Trigonometric Functions
6.2 - Polar Coordinates
6.3 - Vectors (skip entirely)
6.4 - Complex Numbers
6.5 - The Complex Plane
Appendix B: Parametric Curves (optional)

Chapter 7: Sequences, Series, and Limits [2 week]
7.1 - Sequences
7.2 - Series
7.3 - Limits 

Syllabus leaves 2 weeks for tests, projects, etc.

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