Precalculus

Gain a working knowledge of Precalculus and its applications, like solving and graphing equations that involve linear, polynomial, exponential, and logarithmic functions. Also learn how to graph trigonometric and inverse trigonometric functions.

What you’ll learn

• Students can complete in as little as 30 days.
• Mathematics courses have transferred over 10,600 times.
• 88% of students pass in their first try.
• Over \$1,000,000 saved in tuition costs.

\$79

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

On-demand tutoring & writing center

Student support 7 days a week

\$79

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

On-demand tutoring & writing center

Student support 7 days a week

\$79

Plus membership

3 Credits

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ACE Approved 2023

Beginning with a review of algebraic operations, this Precalculus course emphasizes solving and graphing equations that involve linear, polynomial, exponential, and logarithmic functions. Throughout Precalculus, you will also learn to graph trigonometric and inverse trigonometric functions and how to use the family of trigonometric identities.

What You'll Learn

Perform operations on real numbers and polynomials.

Simplify algebraic, rational, and radical expressions.

Solve linear and quadratic equations and inequalities.

Solve word problems involving linear and quadratic equations and inequalities.

Solve polynomial, rational, and radical equations and applications.

Solve and graph linear, quadratic, absolute value, and piecewise-defined functions.

Perform operations with functions as well as find composition and inverse functions.

Graph quadratic, the square root, cubic, and cube root functions.

Graph and find zeros of polynomial functions.

Graph quadratic functions by completing the square, using the vertex formula, and using transformations.

Solve and graph exponential and logarithmic equations.

Express angle measure in degrees or radians.

Evaluate and simplify trigonometric expressions.

Know the six trigonometric functions and how to evaluate those trigonometric functions using positions on the unit circle with respect to the right triangle.

Graph trigonometric and inverse trigonometric functions.

Use trigonometric functions to solve a right triangle and apply the Law of Sines and the Law of Cosines to solve triangles that are acute or obtuse.

Solve systems of linear equations and inequalities.

Model and solve applications using linear systems.

Evaluate and find partial sums of a series.

Evaluate and find sums of an arithmetic sequence and a geometric sequence.

Earn College Credit That Will Transfer

Transfer into over 3000+ institutions that accept ACE courses or transfer directly into 150+ partner schools.

MAT201

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Precalculus

This online course provides you with a working knowledge of Precalculus and its applications.

Prerequisites

It is suggested, but not required, that students take a College Algebra course or its equivalent before enrolling in Precalculus.

Topic Subtopics
Geometry and Measurement
• Geometric Figures
Review of Prerequisites
• Sets and the Real Number Line
• Rational Expression, Operations on Exponents and Radicals
• Solution of Polynomials by Factoring
• More on Quadratic Equations
• Application of Equations Linear, Compound, and Absolute Value Inequalities
Functions and Relations
• Rectangular Coordinates and the Graph of a Line
• Circle
• Functions and Relations
• Linear Equations in Two Variables and Linear Functions
• Transformations on a Graph
• Test for Symmetry and Graph of Piecewise Defined Functions
• The Algebra and Composition of Functions
Polynomial and Rational Functions
• Quadratic Functions and Applications
• Polynomial Functions
• Zeros of Polynomials
• Graphing polynomial functions
• Rational Functions
• Asymptotes and Rational Functions
• Graphing Rational Functions
• Polynomial and Rational Inequalities
• Variation
Exponential and Logarithmic Functions
• Inverse Function
• Exponential and Logarithmic Functions
• Applications of Exponential and Logarithmic Equations
• Modeling with Exponential and Logarithmic Functions
Trigonometric Functions
• Special Angels and the Unit Circle
• Graphs of Basic Trigonometric Functions
• Applications of Basic Trigonometric Functions
• The Inverse Trigonometric Functions and Their Applications
Analytic Trigonometry
• Family of Trigonometric Identities
• All Trigonometric Formulas
• Trigonometric Equations
Applications of Trigonometric Functions
• The Law of Sines
• The Law of Cosines
• More Applications of Trigonometry
Systems of Equations and Inequalities
• Solving Systems of linear equations Graphically, by Substitution, and Using Addition Method
• Solving System of Nonlinear Equations in Two Variables
• Inequalities and System of Inequalities in Two variables
• Linear Programming
Matrices and Determinants and Applications
• Solving Linear Systems Using Matrix Equations
Analytic Geometry
• The Ellipse
• The Hyperbola
• The Parabola
• Rotation of Axes
• Sequence and Series

Your score provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.

Assignments for this course include:

• 4 Graded Exams
• 1 Midterm Exam
• 1 Final Graded Exam

The required eTextbook for this course is included with your course purchase at no additional cost.

Miller, Julie and Donna Gerken. Precalculus, 1st edition, McGraw-Hill, 2017. ISBN: 9780078035609

Precalculus students also take:

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