Online Class: Precalculus 101

no certificate
with CEU Certificate*
-
19Lessons
-
21Exams &
Assignments -
35Hours
average time -
3.5CEUs
-
1,371Students
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 right-triangle 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
- Self-Paced
- 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 Follow-up 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

- Document Your Lifelong Learning Achievements
- Earn an Official Certificate Documenting Course Hours and CEUs
- Verify Your Certificate with a Unique Serial Number Online
- View and Share Your Certificate Online or Download/Print as PDF
- Display Your Certificate on Your Resume and Promote Your Achievements Using Social Media

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Time to complete | 12 Months |
No. of courses | 500+ |
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Time to complete | 24 Months |
No. of courses | 500+ |