College Algebra – MATH X403 | UC Berkeley Extension

Study concepts in college algebra, including the solving of linear, quadratic and other algebraic equations and identities; developing mathematical models; and the graphing of linear, exponential, rational, logarithmic and polynomial functions. You also learn 2-variable graphs of the conic sections, and general ideas and properties of functions, complex numbers and matrix algebra operations.

Course Outline

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
Demonstrate proficiency in matrix algebra operations, properties and determinants for solving systems of linear equations
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 e^x
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
Matrices and algebra of matrices
Solving matrix equations, the inverse of a matrix and determinants
Conic sections, how definitions arise from the cone
Equations and properties for the conic sections

Sections

Section 004

Start Anytime Online

$850.00

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

Online

3 semester units

Section Notes

Online, enroll anytime. This continuous enrollment course begins when you enroll. (Learn more.) 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.

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

Section Materials