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

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Precalculus

$79

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

Multiple chances to improve your grade

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

Multiple chances to improve your grade

On-demand tutoring & writing center

Student support 7 days a week

Precalculus

$79

Plus membership

3 Credits

About This Course

|
ACE Approved 2024

This course provides a working knowledge of concepts and applications of equation solutions, graphs, and trigonometry. It begins with a review of algebraic basics. Emphasis is on linear, polynomial, exponential, logarithmic, and trigonometric functions and their graphs. Students will model scenarios with all of these functions and with graphs. They will also use trigonometric identities to simplify expressions. Other topics include series and sequences, systems of equations, and matrices.

What You'll Learn

Solve linear, quadratic, exponential, trigonometric, and other equations and inequalities.

Model scenarios with linear, quadratic, exponential, trigonometric, and other equations and inequalities.

Create and interpret graphs of various functions.

Apply degree and radian measures to solve real-world problems.

Use reference angles and the six trigonometric ratios to identify points along the unit circle.

Evaluate and simplify trigonometric expressions.

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.

Differentiate between Cartesian coordinates, polar coordinates, and vectors.

Solve systems of linear equations and inequalities by hand and with matrices.

Calculate the nth element of a sequence and the sum of a series.

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Course Details

MAT201

|

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
Review of Prerequisites
  • Number Sets
  • Rational Expressions
  • Operations on Exponents and Radicals
  • Solution of Polynomials by Factoring and Other Methods
  • Application of Equations
  • Linear, Compound, and Absolute Value Inequalities
Functions and Relations
  • Rectangular Coordinates and the Graph of a Line
  • Graphs of Circles
  • Functions and Relations
  • Linear Equations and Functions in Two Variables
  • Transformations on a Graph
  • Test for Symmetry
  • 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
  • Graphing Rational Functions with Asymptotes
  • 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 Angles 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
Polar Coordinates and Vectors
  • Relating Polar Coordinates to Rectangular Coordinates
  • Graphic Polar Equations
  • Vectors
  • Dot Product of Vectors
Systems of Equations and Inequalities
  • Solving Systems of Linear Equations Graphically, by Substitution, and by the Addition Method
  • Solving Systems of Nonlinear Equations in Two Variables
  • Systems of Inequalities in Two variables
  • Linear Programming
Matrices
  • Solving Linear Systems
  • Using Matrix Equations
Sequences and Series
  • Terms of Sequences and Series
  • Summation
  • Arithmetic Sequences and Series
  • Geometric Sequences 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 Reviews
  • 3 Quizzes
  • 2 Exams
  • 1 Final Exam

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


Miller, Julie and Donna Gerken. Precalculus, 2nd edition, McGraw-Hill, 2023. ISBN: 9781260260458

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