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  • Berkeley Global

College Algebra

MATH X403

42262370
Delivery Options Online

A review of foundational college algebra skills and key mathematical concepts. Designed to provide a solid foundation in algebra, graphs, and functions in preparation for further study in mathematics or the sciences. Key skills include solving of linear, quadratic and other algebraic equations and identities; developing mathematical models; and the graphing of linear, exponential, rational, logarithmic and polynomial functions as well as 2-variable graphs of the conic sections. Key concepts will include general ideas and properties of functions and complex numbers.

Prerequisites:

You must have at least one year of high school algebra (or the equivalent of a beginning algebra class) and one year of high school geometry or its equivalent.

Course Outline

Expand or collapse section

Course Objectives

  • Solve one-variable linear, quadratic, rational, exponential and logarithmic equations, systems of equations and inequalities
  • Understand and graph linear, quadratic, rational, exponential and logarithmic functions
  • Develop mathematical models that can be represented by these expressions and functions
  • Understand the concept of functions in general, and the ideas of domain, composition of functions and inverse functions
  • Demonstrate familiarity with complex numbers and their arithmetic operations
  • Recognize and interpret 2-variable equations and graphs of the conic sections

What You Learn

  • Coordinates and graphing
  • Solving equations and complex numbers
  • Solving inequalities and absolute value equations
  • Modeling with curve fitting
  • Function concept, graphing and rate of change
  • Linear functions, combining functions and inverse functions
  • Modeling with functions
  • Polynomial functions and graphs; dividing polynomials
  • Exponential functions in general and ex
  • Review inverse functions, Logarithmic functions and laws of logarithms
  • Exponential and logarithmic equations and their modeling
  • Systems of linear equations in 2 variables, in several variables
  • Partial fractions, systems of nonlinear equations, systems of inequalities
  • Modeling: Linear programming
  • Conic sections, how definitions arise from the cone
  • Equations and properties for the conic sections
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Sections

Section 008

Start Anytime

Type: Online, Start Anytime

Instructor:

  • Hillel Raz

Cost: $850.00

See section 008 Details

Type Online, Start Anytime

Dates
Start Now, you have 180 days to complete this course once enrolled.

Delivery Options

Online

Available for Credit

3 semester units

Section Notes

Online, enroll anytime. This continuous enrollment course begins when you enroll. You have a minimum of 90 days and a maximum of 180 days to complete the course.

Students must score a 70% or higher on the final exam to pass the course.

The Start Anytime Course Orientation: Mathematics and Statistics (UNEX 1416) is required for all students taking Start Anytime Continuous Enrollment online mathematics and statistics courses. Please enroll in the free, short orientation, where you will explore tips on how to be successful and gain familiarity with requirements and procedures. 

TEXTBOOK NOTE:  Please use the ISBN listed.  Do not purchase a hybrid text; it cannot be used for this course.

Section Materials

  • Textbook

    (Mandatory)

    College Algebra by James Stewart

    © 2016 7th edition ISBN 978-1305115545

Fall 2025 enrollment opens on June 16!

Notes

Departmental contact: math_stats_online@berkeley.edu


Instructional Types

Live Online
Live Online courses provide an interactive learning experience with scheduled synchronous online sessions held via Zoom video conferencing (Pacific Time). Learn more about the Live Online format.
Online, Start Anytime
Continuous enrollment course begins when you enroll. You have a minimum of 90 days and a maximum of 180 days to complete the course.
Online, Fixed Date
Enroll in this course by its start date and complete it by its specified end date. There are no live sessions, but plenty of opportunities to collaborate with your classmates and instructor.
Classroom
Take classes in-person at one of our buildings or partner locations.

English Language Proficiency Requirements

All of our courses are taught in English. If English is not your first language, please use the following test scores as guides in order to be successful:

  • TOEFL: 90
  • IELTS Academic Format: 7
  • DAAD: C1
  • TEM-4 or TEM-8: Level 70
  • Duolingo: 125

Note: You do not need to submit test scores.

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Course Fee

Hillel Raz

Hillel Raz, Ph.D., has research interests in mathematical physics and is currently working on spectral properties of quantum and discrete graphs. Raz has been a math instructor since 2003.

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