Beginner Calculus
Ever wondered what Calculus really is? In this course, you will learn to master the basics of Calculus. This introductory calculus course will introduce you to the terminology, methods and tricks to become a successful Calculus student.
Master Calculus and Pre-Calculus Algebra
The course is structured with:
- Pre-calculus algebra such as solving linear, polynomial and trigonometric expressions.
- Differentiation of most simple functions using both first principles and derivative rules.
- Integration of polynomial, trigonometric and exponential functions using integration rules.
Course Includes Fully Worked Solutions and Video Examples
I have designed this course to be perfect for beginners and will take you through everything that you need. This easy to follow course includes 2 hours of video to teach you the concepts, narrated examples to demonstrate Calculus techniques, practice problems with fully worked solutions and quizzes which assess student’s abilities to understand and use the concepts on their own.
By the end of this course, you will be able to understand and interpret algebraic, differentiation and integration processes. This will provide you with a solid foundation in Calculus for you to be able to progress your studies with further Calculus courses.
Introduction
Introduction video providing background for the course and information on the topics involved.
PDF Version of the Introduction Video
Algebra
Techniques for solving algebraic equations such as linear, quadratic, log, exponential and trigonometric equations.
Example solutions to linear, quadratic, logarithmic, exponential and trigonometric equations.
Questions for you to practice algebraic manipulation and solving equations.
Worked Solutions for the Algebra Practice Problems
Test your knowledge by solving some Algebraic Equations.
Graphing
Teaches you the basics of graphing functions of x and y.
This video explores how to take simple functions and alter and translate them into more complicated ones graphically.
Practice problems to help you develop graphing skills
Worked solutions to the practice problems.
In this video we look at what limits are and some special ways to denote functions.
Differentiation
Shows how to differentiate a general function from first principles.
Examples to help you differentiate functions from first principles
This video explores how to use differentiation rules to make calculus much faster and easier
Examples to help you understand how to apply differentiation rules to example functions.
Practice Differentiation questions
Worked solutions for the practice problems on differentiation rules
Integration
This video covers the basics of integration and demonstrates some integration rules which will be used in future videos.
This video addresses integrating exponential and trigonometric functions which include linear functions of x
Practice your integrations skills
Worked solutions for the integration practice problems
Definite Integrals
This video explores the fundamental theorem of calculus and shows how to calculate the area under curves between limits.
In this video, I work through some examples of definite integrals ranging from linear to trigonometric functions.
A set of practice problems on evaluating your definite integral skills.
Worked solutions to the practice problems for definite integration.
Test your knowledge of definite integrals.
