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
Pre-Calculus: Functions
提供方
University of California, Irvine
教学大纲 - 您将从这门课程中学到什么
周
1Course 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.
11 个视频 （总计 78 分钟）, 3 个阅读材料
11 个视频
Properties of Integer Exponents 9分钟
Adding and Subtracting Polynomials 8分钟
Multiplication of Binomials 10分钟
Multiplication of Polynomials 4分钟
Multiple Operations with Polynomials 6分钟
Rational Exponents 4分钟
Simplified Radical Form 7分钟
Square Root Addition and Subtraction 6分钟
Multiplication Involving Square Roots 5分钟
Rationalizing a Denominator 3分钟
3 个阅读材料
Syllabus10分钟
Quiz Notation5分钟
Algebra Review: Readings and Exercises30分钟
周
2Linear 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.
13 个视频 （总计 80 分钟）, 3 个阅读材料, 3 个测验
13 个视频
Algebraic Symbol Manipulation 4分钟
Linear Word Problems 6分钟
Percentage Word Problems 6分钟
Area and Perimeter Word Problems 7分钟
Distance-Rate-Time 5分钟
Mixture Problems Using Linear Equations 5分钟
Solving a Linear Inequality 5分钟
Compound Inequalities 7分钟
Linear Inequality Word Problems 4分钟
Absolute Value Equations 6分钟
Absolute Value Inequalities 6分钟
Inequalities Involving Radicals 5分钟
3 个阅读材料
Linear Equations and Inequalities I: Reading and Exercises20分钟
Linear Equations and Inequalities II: Readings and Exercises30分钟
Absolute Value Equations and Inequalities: Readings and Exercises45分钟
3 个练习
Linear Equations and Inequalities I15分钟
Linear Equations and Inequalities II15分钟
Absolute Value Equations and Inequalities15分钟
周
3Quadratic Equations.
In this module, we explore a variety of methods for solving quadratic equations.
9 个视频 （总计 60 分钟）, 1 个阅读材料, 2 个测验
9 个视频
Factoring a Quadratic Expression10分钟
Special Factoring Formulas 9分钟
Factoring by Grouping 7分钟
Solving a Quadratic Equation 2分钟
Discriminant 5分钟
Quadratic Formula 5分钟
Solving a Quadratic Equation - Completing the Square 3分钟
Quadratic Equation Word Problems 6分钟
1 个阅读材料
Quadratic Equations: Readings and Exercises20分钟
2 个练习
Quadratic Equations I15分钟
Quadratic Equations II15分钟
周
4Rational and Radical 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.
10 个视频 （总计 62 分钟）, 1 个阅读材料, 2 个测验
10 个视频
Simplifying a Ratio of Polynomials 3分钟
Adding and Subtracting Rational Expressions 8分钟
Multiplying Rational Expressions 3分钟
Dividing Rational Expressions 4分钟
Square Root Property 4分钟
Solving Rational Equations, Part 1 9分钟
Solving Rational Equations, Part 2 8分钟
Solving an Equation Quadratic in Form 6分钟
Solving Equations Involving Radicals 8分钟
1 个阅读材料
Rational Expressions: Readings and Exercises40分钟
2 个练习
Rational Expressions15分钟
Rational and Radical Equations15分钟
讲师
Dr. Sarah Eichhorn
Associate Dean, Distance Learning & Tenured Lecturer
关于 University of California, Irvine
Since 1965, the University of California, Irvine has combined the strengths of a major research university with the bounty of an incomparable Southern California location. UCI’s unyielding commitment to rigorous academics, cutting-edge research, and leadership and character development makes the campus a driving force for innovation and discovery that serves our local, national and global communities in many ways.
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