**Course Number**:
MATH 1113

**Course Title**: Precalculus

**Hours Credit**:
4 hours

**Prerequisites**:
Four years of high school mathematics including algebra and trigonometry

**Courses Description**: This course is designed to
prepare students for calculus, physics and related technical subjects. Topics include an intensive study of
algebraic and transcendental functions accompanied by analytic geometry.

**Text**: *Precalculus** (2 ^{nd} edition) *by
Robert Blitzer, Prentice-Hall

**Learning Outcomes**: Students should be able to
demonstrate:

- An understanding of functions and how to graph functions
- An understanding of operations on functions including function composition
- An understanding of polynomial and rational graphs, including intercepts and asymptotes
- An understanding of how to find the zeros of a polynomial and how to factor polynomials
- An understanding of inverse functions and how to find them graphically and algebraically
- An understanding of the properties of exponential and logarithmic equations
- An understanding of how to solve exponential and logarithmic equations
- An understanding of how to find the values of the trigonometric functions from right triangles and circles
- An understanding of how to graph the trigonometric functions
- An understanding of how to prove trigonometric identities
- An understanding of how to use the sum, difference, double-angle and half-angle formulas for sine and cosine
- An understanding of how to solve triangle using the law of sines and law of cosines
- An understanding of polar coordinates and graphs
- An understanding of how to analyze and solve applied problems

**Topics**: The
following sections of Blitzer’s book will be covered:

Section

1.2 Lines and Slope

1.3 Distance and Midpoint Formulas; Circles

1.4 Basics of Functions

1.5 Graphs of Functions

1.6 Transformations of Functions

1.7 Combinations of Functions; Composite Functions

1.8 Inverse Functions

2.1 Complex Numbers

2.2 Quadratic Functions

2.3 Polynomial Functions and Graphs

2.4 Dividing Polynomials

2.5 Zeros of Polynomials ( __Optional Topics include__: Rational Root Theorem and

Descartes’ Rule of Signs )

2.6 Rational Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Properties of Logarithms

3.4 Exponential and Logarithmic Equations

3.5 Modeling with Exponential and Logarithmic Functions

7.1 Systems of Linear Equations in Two Variables

7.2 Systems of Linear Equations in Three Variables

4.1
Angles and Their Measures

4.2
Trigonometric Functions: The

4.3
Right Triangle Trigonometry

4.4
Trigonometric Functions for any
Angle

4.5
Graphs of Sine and Cosine Functions

4.6
Graphs of Other Trigonometric
Functions

4.7
Inverse Trigonometric Functions

4.8
Applications of Trigonometric
Functions

5.1
Verifying Trigonometric Identities

5.2
Sum and Difference Formulas

5.3
Double-Angle and Half-Angle
Formulas

5.5
Trigonometric Equations

6.1
Law of Sines

6.2
Law of Cosines

6.3
Polar Equations

6.4
Graphs of Polar Equations

6.5
Complex Numbers in Polar Form; DeMoivre’s Theorem

**Grading Method**:
To be determined by instructor.