Online Class: Precalculus 101
with CEU Certificate*
Calculus is a mathematical tool that is required in a variety of scientific, technical, and other professional fields. Because it is a higher-level area of math, many people think it is a subject that they can never understand. Unfortunately, such an attitude limits an individual's career choices, particularly in a technology-focused society.
This course, therefore, 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.
Anyone over the age of 13 is welcome to join this course. However, to understand these concepts and successfully complete this course, it is strongly recommended that individuals have obtained a ninth grade education and already have a solid understanding of Algebra.
Real and complex numbers
Equations and Inequalities
Polynomials and rational functions I
Polynomials and rational functions II
Trigonometric functions I
Trigonometric functions II
Trigonometric functions III
Conic sections I
Conic sections II
Sequences and series
Introduction to derivatives
Introduction to integrals
A brief 10 pt. quiz will follow each lesson. Students will successfully complete this course by mastering all learning outcomes with 70% or higher overall grade.
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|Lesson 7 Exam||20|
|Lesson 8 Exam||20|
|Lesson 9 Exam||20|
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|Lesson 11 Exam||20|
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|Lesson 19 Exam||20|
|The Final Exam||80|
- Precalculus: How to Solve Exponential and Logarithmic Functions
- How to Use Inverse Trigonometric Functions to Solve Problems
- Trigonometry Problems: Solving Circles, Radians, and Arc Lengths
- How to Add and Subtract Vectors Algebraically
- Understanding the Graphical and Algebraic Properties of Cones, Circles and Parabolas
- Understanding the Quantum Nature of Light
- Math Skills: How to Do Addition
- The Mathematics Behind Acoustic and Electromagnetic Waves
- What is Geometry?
- Math Skills: Rounding, Exponents, Radicals, Square Roots, and Ratios
- What is Static Electricity?
- How to Teach Present Simple and Adverbs of Frequency to ESL Learners
- Basic Mathematical Terminology
- How to Teach Present Continuous to ESL Learners
- What is Temperature and Heat?