Online Class: Precalculus 101
no certificate
with CEU Certificate*

19Lessons

21Exams &
Assignments 
1,696Students
have taken this course 
35Hours
average time 
3.5CEUs
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
 Lesson discussions: Reasons for Taking this Course
 Complete Assignment: Introduction
 Assessment: Lesson 1 Exam
Lesson 2  Functions I
 Lesson 2 Video
 Assessment: Lesson 2 Exam
Lesson 3  Functions II
 Lesson 3 Video
 Assessment: Lesson 3 Exam
Lesson 4  Equations and Inequalities
 Lesson 4 Video
 Assessment: Lesson 4 Exam
Lesson 5  Polynomials and Rational Functions I
 Lesson 5 Video
 Assessment: Lesson 5 Exam
Lesson 6  Polynomials and Rational Functions II
 Lesson 6 Video
 Assessment: Lesson 6 Exam
Lesson 7  Exponential and Logarithmic Functions
 Lesson 7 Video
 Assessment: Lesson 7 Exam
Lesson 8  Trigonometric Functions I
 Lesson 8 Video
 Assessment: Lesson 8 Exam
Lesson 9  Trigonometric Functions II
 Lesson 9 Video
 Assessment: Lesson 9 Exam
Lesson 10  Trigonometric Functions III
 Lesson 10 Video
 Assessment: Lesson 10 Exam
Lesson 11  Vectors I
 Lesson 11 Video
 Assessment: Lesson 11 Exam
Lesson 12  Vectors II
 Lesson 12 Video
 Assessment: Lesson 12 Exam
Lesson 13  Polar Coordinates
 Lesson 13 Video
 Assessment: Lesson 13 Exam
Lesson 14  Conic Sections I
 Lesson 14 Video
 Assessment: Lesson 14 Exam
Lesson 15  Conic Sections II
 Lesson 15 Video
 Assessment: Lesson 15 Exam
Lesson 16  Limits
 Lesson 16 Video
 Assessment: Lesson 16 Exam
Lesson 17  Sequences and Series
 Lesson 17 Video
 Assessment: Lesson 17 Exam
Lesson 18  Introduction to Derivatives
 Lesson 18 Video
 Assessment: Lesson 18 Exam
Lesson 19  Introduction to Integrals
 Lesson 19 Video
 Lesson discussions: Your Opinion Matters: Course Rating; Program Evaluation Followup Survey (End of Course); Course Comments
 Assessment: Lesson 19 Exam
 Assessment: 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.
 Demonstrate mastery of lesson content at levels of 70% or higher.
Additional Course Information
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Time to complete  6 months 
No. of courses  1 course 
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This course only
Includes certificate  
Includes CEUs  
Selfpaced  
Instructor support  
Time to complete  6 months 
No. of courses  1 course 
Certificates & CEUs
Includes all 500+ courses
Includes certificate  
Includes CEUs  
Selfpaced  
Instructor support  
Time to complete  12 Months 
No. of courses  500+ 
Certificates & CEUs
Includes all 500+ courses
Includes certificate  
Includes CEUs  
Selfpaced  
Instructor support  
Time to complete  24 Months 
No. of courses  500+ 
Student Testimonials
 "Very helpful specially in the sense of improving the cognitive level of keywords and key concepts in order to gain more specific insight into details and concepts that are sometimes seemingly unimportant or easy to forget."  Jorge E.
 "My instructor was very prompt in grading all of my submitted tests and responded quickly when I had questions about the current lesson or the test."  Stephen M.
 "I want to stress that April Cordry Moore is an excellent instructor."  Doug G.
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