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MA001: College Algebra
Sections
Course Introduction
Course Syllabus
Unit 1: Equations and Inequalities
Unit 2: Introduction to Functions
Unit 3: Exponents and Polynomials
Unit 4: Linear Functions
Unit 5: Polynomial Functions
Unit 6: Rational Functions
Unit 7: Exponential and Logarithmic Functions
Unit 8: Exponential and Logarithmic Equations
Unit 9: Systems of Equations and Inequalities
Unit 10: Introduction to Conic Sections
Unit 11: Introduction to Sequences and Series
Study Guide
Course Feedback Survey
Certificate Final Exam
Saylor Direct Credit
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MA001: College Algebra
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MA001: College Algebra
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Course Syllabus
Solving Linear Equations in One Variable
Applications of Linear Equations
Rational Equations
Complex Numbers
Solve Quadratic Equations by Factoring
Solve Quadratic Equations Using the Square Root Property
Using the Quadratic Formula and the Discriminant
Equations That are Quadratic in Form
Absolute Value Equations
Radical Equations
Using Interval Notation and Properties of Inequalities
Solve Simple and Compound Linear Inequalities
Absolute Value Inequalities
The Rectangular Coordinate System and Graphs
Defining and Writing Functions
Properties of Functions and Basic Function Types
Finding the Domain of a Function Defined by an Equation
Finding Domain and Range from Graphs
Graphing Piecewise-Defined Functions
Calculate the Rate of Change of a Function
Determine Where a Function is Increasing, Decreasing, or Constant
Creating and Evaluating Composite Functions
Finding the Domain of a Composite Function
Graphing Functions Using Vertical and Horizontal Shifts
Graphing Functions Using Reflections
Determining Whether a Function is One-to-One
Graphing Functions Using Stretches and Compressions
Inverse Functions
Representations of Linear Functions
Interpreting Slope as a Rate of Change
Writing and Interpreting an Equation for a Linear Function
Parallel and Perpendicualr Lines
Building Linear Models from Words
Modeling a Set of Data with Linear Functions
Finding the Line of Best Fit
Understanding How the Graphs of Parabolas are Related to Their Quadratic Functions
Finding the Domain and Range of a Quadratic Function
Determining the Maximum and Minimum Values of Quadratic Functions
Power Functions
Polynomial Functions
Identify the x-Intercepts of Polynomial Functions whose Equations are Factorable
Graphing Polynomial Functions
Use Long Division to Divide Polynomials
Use Synthetic Division to Divide Polynomials
Three Techniques for Evaluating and Finding Zeros of Polynomial Functions
Using the Fundamental Theorem of Algebra and the Linear Factorization Theorem
End Behavior and Local Behavior of Rational Functions
Domain and Range of Rational Functions
Zeros of Rational Functions
Vertical and Horizontal Asymptotes of Rational Functions
Graphing Rational Functions
Properties of Exponential Functions
Equations of Exponential Functions
Financial Applications of Exponential Functions
Characteristics of Graphs of Exponential Functions
Transformations of Graphs of Exponential Functions
Convert Between Logarithmic and Exponential
Common and Natural Logarithms
Characterisitics of Graphs of Logarithmic Functions
Transformations of Graphs of Logarithmic Functions
Properties of Logarithms
Expanding and Condensing Logarithms
Using Like Bases to Solve Exponential Equations
Solving Exponential Equations Using Logarithms
Using the Definition of a Logarithm to Solve Logarithmic Equations
Solving Applied Problems Using Exponential and Logarithmic Equations
Models of Exponential Growth and Decay
Using Logistic Growth Models
Use Data to Build a Logarithmic Model
Use Data to Build a Logistic Model
Introduction to Systems of Linear Equations
Analyzing the Solution to a System in Two Variables
Algebraic Methods for Solving Systems in Two Variables
An Application of Systems in Two Variables
Solve Systems with Three Variables
Classify Solutions to Systems with Three Variables
Writing Systems of Equations as Matrices
Algebraic Methods for Solving Systems of Non-Linear Equations
Non-Linear Inequalities
Writing Equations of Ellipses
Graphing Ellipses
Writing Equations of Hyperbolas
Graphing Hyperbolas
Parabolas Centered at the Origin
Parabolas Not Centered at the Origin
Sequences Defined by an Explicit Formula
Sequences Defined by a Recursive Formula
Write the Terms of an Arithmetic Sequence
Use a Formula for an Arithmetic Sequence
Write the Terms of a Geometric Sequence
Use a Formula for a Geometric Sequence
Use the Formula for an Arithmetic Series
Use the Formula for a Geometric Series
MA001 Study Guide
MA001: Certificate Final Exam
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