Offered By

University of California, Irvine

About this Course

4.7

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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

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Suggested: 5 hours/week...

Subtitles: English, Hindi

Completing The SquareGraph Of A FunctionAlgebra

Start instantly and learn at your own schedule.

Reset deadlines in accordance to your schedule.

Suggested: 5 hours/week...

Subtitles: English, Hindi

Week

1We 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 videos (Total 78 min), 3 readings

Properties of Integer Exponents 9m

Adding and Subtracting Polynomials 8m

Multiplication of Binomials 10m

Multiplication of Polynomials 4m

Multiple Operations with Polynomials 6m

Rational Exponents 4m

Simplified Radical Form 7m

Square Root Addition and Subtraction 6m

Multiplication Involving Square Roots 5m

Rationalizing a Denominator 3m

Syllabus10m

Quiz Notation5m

Algebra Review: Readings and Exercises30m

Week

2In 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 videos (Total 80 min), 3 readings, 3 quizzes

Algebraic Symbol Manipulation 4m

Linear Word Problems 6m

Percentage Word Problems 6m

Area and Perimeter Word Problems 7m

Distance-Rate-Time 5m

Mixture Problems Using Linear Equations 5m

Solving a Linear Inequality 5m

Compound Inequalities 7m

Linear Inequality Word Problems 4m

Absolute Value Equations 6m

Absolute Value Inequalities 6m

Inequalities Involving Radicals 5m

Linear Equations and Inequalities I: Reading and Exercises20m

Linear Equations and Inequalities II: Readings and Exercises30m

Absolute Value Equations and Inequalities: Readings and Exercises45m

Linear Equations and Inequalities I15m

Linear Equations and Inequalities II15m

Absolute Value Equations and Inequalities15m

Week

3In this module, we explore a variety of methods for solving quadratic equations. ...

9 videos (Total 60 min), 1 reading, 2 quizzes

Factoring a Quadratic Expression10m

Special Factoring Formulas 9m

Factoring by Grouping 7m

Solving a Quadratic Equation 2m

Discriminant 5m

Quadratic Formula 5m

Solving a Quadratic Equation - Completing the Square 3m

Quadratic Equation Word Problems 6m

Quadratic Equations: Readings and Exercises20m

Quadratic Equations I15m

Quadratic Equations II15m

Week

4We begin this module by practicing manipulations of rational expressions using basic properties. We then utilize these manipulations to solve rational and radical equations....

10 videos (Total 62 min), 1 reading, 2 quizzes

Simplifying a Ratio of Polynomials 3m

Adding and Subtracting Rational Expressions 8m

Multiplying Rational Expressions 3m

Dividing Rational Expressions 4m

Square Root Property 4m

Solving Rational Equations, Part 1 9m

Solving Rational Equations, Part 2 8m

Solving an Equation Quadratic in Form 6m

Solving Equations Involving Radicals 8m

Rational Expressions: Readings and Exercises40m

Rational Expressions15m

Rational and Radical Equations15m

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....

When will I have access to the lectures and assignments?

Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

What will I get if I purchase the Certificate?

When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

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Is financial aid available?

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