COURSE SYLLABUS

Course Number: MATH11130

Course Title: PRE-CALCULUS TRIGONOMETRY

Credit Hours: 3

Prerequisites: MATH1120

Corequisite:

Bulletin Description:

PRE-CALCULUS TRIGONOMETRY (3). Pr., MATH1120. Preparatory course for the calculus sequence. Basic analytic and geometric properties of the trigonometric functions. Complex numbers, de Moivre’s theorem, polar coordinates.

Objectives:

To develop student mathematical and analytic skills. To give students the background and preparation necessary for calculus.

Course Content:

Rectangular coordinates: graphs of equations, lines. Complex numbers. The function: graphs of functions, quadratic functions, operations on functions, inverse functions. (7 days)

Basic trigonometry: angles, trigonometric functions of angles, trigonometric functions of real numbers, trigonometric graphs, applied problems. (10 days)

Advanced trigonometry: verifying trigonometric identities, trigonometric equations, addition and subtraction formulas, multiple-angle formulas, inverse trigonometric functions. (11 days)

Applications of Trigonometry: The Law of Sines, The Law of Cosines, De Moivre's Theorem, Vectors. (9 days)

Polar Coordinates. (5 days)

Exams and tests. (3 days)

JUSTIFICATION

The course will be used in conjunction with the mathematics placement test and is designed to bring students to the level of preparation which will enable them to take calculus.