Free Online Course on Pre-Calculus: Functions

Free Online Course on Pre-Calculus Functions
Certificate fee scholarship is available for this course.

Institution: University of California
Start Date: June 18, 2018

Enrolment is now open for the new Pre-Calculus: Functions (a free online course) run by the University of California. This course is designed to help prepare students to enroll for a first-semester course in single variable calculus.

In this course, you will learn about polynomial properties to solve equations involving exponential and logarithmic functions. This course covers mathematical topics in college algebra, with an emphasis on functions. The starting date of this course is June 18, 2018.

Course Summary

  • Duration: 8 Weeks
  • Subject: Mathematics
  • Institution: University of California, Irvine
  • Languages: English
  • Price: Free
  • Session: Starts on June 18, 2018
  • Requirement:  None
  • Certificate Available: Yes

Who Developed the Course:

The University of California is a public university system in the U.S. state of California. Under the California Master Plan for Higher Education, the University of California is a part of the state’s three-system public higher education plan.

Target Audience:

  • This course is designed to help prepare students to enroll for a first-semester course in single variable calculus.

Where Could This Lead You

After completing this course, you can apply for jobs in the given fields:

  • Mathematics Teacher
  • Quantitative aptitude teacher

Get Extra Benefits

If you pay $29 USD for this course,

  • You will have to access to all of the features content you need to earn a course certificate.
  • If you complete the course successfully, your electronic certificate will be added to your accomplishment page- from there; you can print your certificate or add it to your LinkedIn profile.
  • Note that the course certificate does not represent official academic credit from the partner institute offering the course

How to Join This Course:

You can register yourself here.

Course Format

  •  WEEK 1: Course Overview and Algebra ReviewThe course 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
  • WEEK 2: Linear Equations and Inequalities. Absolute Value Equations and Inequalities.
    In this module, you will learn to solve linear and absolute value equations and inequalities. You will also explore a range of story problems which can be solved utilizing linear equations.
  • WEEK 3: Quadratic Equations.
    In this module, you explore a variety of methods for solving quadratic equations.
  • WEEK 4: Rational and Radical Equations.
    This module begins by practicing manipulations of rational expressions using basic properties. You then utilize these manipulations to solve rational and radical equations.
  • WEEK 5: Functions. Graphs of Functions. Transformations of Functions.
    In this module, course defines the notion of “function”. You learn to distinguish between functions and non-functions in graphical, symbolic and tabular form. Finally, the course will explore graphs of functions and how these graphs behave under linear transformations.
  • WEEK 6: Quadratic Functions. Inverse Functions. Polynomials.
    In this module, the course explores quadratic equations and graphs. The course also introduces the notion of inverse functions. Finally, you will learn about polynomial properties and practice some methods for polynomial root finding.
  • WEEK 7: Exponential and Logarithmic Equations.
    Exponential and logarithmic functions are two important functions that are useful in applications of calculus.
  • WEEK 8: Pre-Calculus Functions Final Exam
    Now is your opportunity to review the topics from this course. The comprehensive final exam is your chance to demonstrate your conceptual understandings of functions and algebraic computational skills.

Learning Outcomes

Upon completing this course, you will be able to:

  • Solve linear and quadratic equations
  • Solve some classes of rational and radical equations
  • Graph polynomial, rational, piece-wise, exponential and logarithmic functions
  • Find integer roots of polynomial equations
  • Solve exponential and logarithm equations
  • Understand the inverse relations between exponential and logarithm equations
  • Compute values of exponential and logarithm expressions using basic properties

Who Will You Learn With?

  • Sarah Eichhorn: Lecturer at University of California
  • Rachel Cohen Lehman: Lecturer at University of California


  • Importance of Course: At the end of the course you will understand important functions that are useful in applications of calculus.
  • Importance of Certificate: By the Certificate of Achievement you will be able to prove your success when applying for jobs or courses. You can display it on your LinkedIn or CV.

Detailed Information:

For more information about the course, you may visit the Website.

Apply Now


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