# Coursera Pre-Calculus: Functions

University of California, Irvine via Coursera

Tags:
• Overview
1. Platform:
Coursera
Provider:
University of California, Irvine
Length:
8 weeks
Language:
English
Credentials:
Paid Certificate Available
Overview
This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to help prepare students to enroll for a first semester course in single variable calculus.

Upon completing this course, you will be able to:
1. Solve linear and quadratic equations
2. Solve some classes of rational and radical equations
3. Graph polynomial, rational, piece-wise, exponential and logarithmic functions
4. Find integer roots of polynomial equations
5. Solve exponential and logarithm equations
6. Understand the inverse relations between exponential and logarithm equations
7. Compute values of exponential and logarithm expressions using basic properties

Syllabus
Course Overview and Algebra Review

We begin with an overview of the course and an opportunity to review and practice some of the prerequisite algebra skills needed for success in this course.

Linear Equations and Inequalities. Absolute Value Equations and Inequalities.
In this module, we will learn to solve linear and absolute value equations and inequalities. We will also explore a range of story problems which can be solved utilizing linear equations.

In this module, we explore a variety of methods for solving quadratic equations.

We begin this module by practicing manipulations of rational expressions using basic properties. We then utilize these manipulations to solve rational and radical equations.

Functions. Graphs of Functions. Transformations of Functions.

In this module, we define the notion of "function". We learn to distinguish between functions and non-functions in graphical, symbolic and tabular form. Finally, we will explore graphs of functions and how these graphs behave under linear transformations.