Online Class: Precalculus 101
no certificate
with CEU Certificate*

19Lessons

21Exams &
Assignments 
35Hours
average time 
3.5CEUs

1,318Students
have taken this course
Course Description
This course provides a bridge between algebra and calculus, guiding students through the underlying mathematical concepts needed to understand and appreciate calculus. The course reviews real and complex numbers, functions, and equations and inequalities. It then goes into some detail on specific types of functions, such as polynomials, exponentials, and logarithms. It also provides a derivation of the principles of trigonometry on the basis of simple righttriangle and circle geometry. After reviewing vectors, polar coordinates, and conic sections, the material sets up calculus proper by examining limits as well as sequences and series.
The final lessons of the course use the basic principles of algebra to derive the two key tools of calculus: differentiation (the derivative) and integration (the integral). At the end of this course, students will be prepared to study calculus in greater depth, further investigating and applying derivatives and integrals to solve a variety of math, physics, and other problems.
 Completely Online
 SelfPaced
 Printable Lessons
 Full HD Video
 6 Months to Complete
 24/7 Availability
 Start Anytime
 PC & Mac Compatible
 Android & iOS Friendly
 Accredited CEUs
Course Lessons
Lesson 1  Real and Complex Numbers
 Lesson 1 Video A
 Lesson 1 Video B : How to Take an Exam
 Review 3 Articles: Definition of Absolute Value; Interval Notation; Number sense
 Complete Assignment: Introduction
 Complete: Lesson 1 Exam
Lesson 2  Functions I
 Lesson 2 Video
 Review Article: Independent and Dependent Variables
 Complete: Lesson 2 Exam
Lesson 3  Functions II
 Lesson 3 Video
 Review Article: Composition of two functions
 Complete: Lesson 3 Exam
Lesson 4  Equations and Inequalities
 Lesson 4 Video
 Complete: Lesson 4 Exam
Lesson 5  Polynomials and Rational Functions I
 Lesson 5 Video
 Review Article: Graphing the Rational Function
 Complete: Lesson 5 Exam
Lesson 6  Polynomials and Rational Functions II
 Lesson 6 Video
 Review 2 Articles: How to Solve Higher Degree Polynomials; Rational Functions and Asymptotes
 Complete: Lesson 6 Exam
Lesson 7  Exponential and Logarithmic Functions
 Lesson 7 Video
 Review 2 Articles: LOGARITHMIC AND EXPONENTIAL FUNCTIONS; Solving Equations Using Logarithms
 Complete: Lesson 7 Exam
Lesson 8  Trigonometric Functions I
 Lesson 8 Video
 Review 2 Articles: Basic Trigonometry Rules; Right Triangle Trig Calculator
 Complete: Lesson 8 Exam
Lesson 9  Trigonometric Functions II
 Lesson 9 Video
 Review Article: The Trigonometry of Circles
 Complete: Lesson 9 Exam
Lesson 10  Trigonometric Functions III
 Lesson 10 Video
 Review 2 Articles: Inverse Trigonometric Functions; Table of Trigonometric Identities
 Complete: Lesson 10 Exam
Lesson 11  Vectors I
 Lesson 11 Video
 Complete: Lesson 11 Exam
Lesson 12  Vectors II
 Lesson 12 Video
 Review 3 Articles: Algebraic Representation of Vectors; Unit Vector; Vector Addition and Scalar Multiplication
 Complete: Lesson 12 Exam
Lesson 13  Polar Coordinates
 Lesson 13 Video
 Complete: Lesson 13 Exam
Lesson 14  Conic Sections I
 Lesson 14 Video
 Complete: Lesson 14 Exam
Lesson 15  Conic Sections II
 Lesson 15 Video
 Review Article: Conic Sections
 Complete: Lesson 15 Exam
Lesson 16  Limits
 Lesson 16 Video
 Review Article: Basic Limit Laws
 Complete: Lesson 16 Exam
Lesson 17  Sequences and Series
 Lesson 17 Video
 Review Article: Introduction to Series
 Complete: Lesson 17 Exam
Lesson 18  Introduction to Derivatives
 Lesson 18 Video
 Review Article: Introduction of Derivatives
 Complete: Lesson 18 Exam
Lesson 19  Introduction to Integrals
 Lesson 19 Video
 Take Poll: Your Opinion Matters: Course Rating
 Take Survey: Program Evaluation Followup Survey (End of Course)
 Complete: Lesson 19 Exam
 Complete: The Final Exam
Learning Outcomes
 Define, identify and demonstrate use of real and complex numbers.
 Define, identify and demonstrate use of functions.
 Define, identify and demonstrate use of equations and inequalities.
 Define, identify and demonstrate use of polynomials and rational functions.
 Define, identify and demonstrate use of exponential and logarithmic functions.
 Define, identify and demonstrate use of trigonometric functions.
 Define, identify and demonstrate use of vectors.
 Define, identify and demonstrate use of polar coordinates.
 Define, identify and demonstrate use of conic sections.
 Define, identify and demonstrate use of limits, sequences, and series.
 Define, identify and demonstrate use of derivatives and integrals, and
 Demonstrate mastery of lesson content at levels of 70% or higher.
Additional Course Information
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Time to complete  6 months 
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Time to complete  12 Months 
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Time to complete  24 Months 
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