Course Description

This course is designed to prepare students for Math 1500 (Calculus I). Elementary algebra will be reviewed and trigonometry will be a main focus. Course topics include algebraic, trigonometric, logarithmic, and exponential functions.

Topics Covers

• 1.3 Algebraic Expressions
• 1.4 Rational Expressions
• 1.5 Equations
• 1.6 Complex Numbers
• 1.8 Inequalities
• 1.9 The Coordinate Plane; Graphs of Equations; Circles
• 1.10 Lines
• 2.1 Functions
• 2.2 Graphs of Functions
• 2.3 Getting Information from the Graph of a Function
• 2.4 Average Rate of Change of a Function
• 2.6 Transformations of Functions
• 2.7 Combining Functions
• 2.8 One-to-One Functions and Their Inverses
• 3.1 Quadratic Functions and Models
• 3.2 Polynomial Functions and Their Graphs
• 3.3 Dividing Polynomials
• 3.4 Real Zeros of Polynomials
• 3.5 Complex Zeros and the Fundamental Theorem of Algebra
• 3.6 Rational Functions
• 4.1 Exponential Functions
• 4.2 The Natural Exponential Function
• 4.3 Logarithmic Functions
• 4.4 Laws of Logarithms
• 4.5 Exponential and Logarithmic Equations
• 5.1 The Unit Circle
• 5.2 Trigonometric Functions of Real Numbers
• 5.3 Trigonometric Graphs
• 5.4 More Trigonometric Graphs
• 6.1 Angle Measure
• 6.2 Trigonometry of Right Triangles
• 6.3 Trigonometric Functions of Angles
• 6.4 Inverse Trigonometric Functions and Right Triangles
• 6.5 The Law of Sines
• 6.6 The Law of Cosines
• 7.1 Trigonometric Identities
• 7.2 Addition and Subtraction Formulas
• 7.3 Double-Angle, Half-Angle, and Product-Sum Formulas
• 7.4 Basic Trigonometric Equations
• 7.5 More Trigonometric Equations