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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:
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.
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Certificate of completion.
Section 1: Introduction | |||
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Lecture 1 | 02:21 | ||
Introduction video providing background for the course and information on the topics involved. |
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Lecture 2 | 7 pages | ||
PDF Version of the Introduction Video |
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Section 2: Algebra | |||
Lecture 3 | 10:34 | ||
Techniques for solving algebraic equations such as linear, quadratic, log, exponential and trigonometric equations. |
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Lecture 4 | 05:45 | ||
Example solutions to linear, quadratic, logarithmic, exponential and trigonometric equations. |
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Lecture 5 | 1 page | ||
Questions for you to practice algebraic manipulation and solving equations. |
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Lecture 6 | 5 pages | ||
Worked Solutions for the Algebra Practice Problems |
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Quiz 1 | 6 questions | ||
Test your knowledge by solving some Algebraic Equations. |
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Section 3: Graphing | |||
Lecture 7 | 08:36 | ||
Teaches you the basics of graphing functions of x and y. |
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Lecture 8 | 06:44 | ||
This video explores how to take simple functions and alter and translate them into more complicated ones graphically. |
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Lecture 9 | 1 page | ||
Practice problems to help you develop graphing skills |
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Lecture 10 | 17 pages | ||
Worked solutions to the practice problems. |
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Lecture 11 | 03:54 | ||
In this video we look at what limits are and some special ways to denote functions. |
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Section 4: Differentiation | |||
Lecture 12 | 02:21 | ||
Shows how to differentiate a general function from first principles. |
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Lecture 13 | 02:34 | ||
Examples to help you differentiate functions from first principles |
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Lecture 14 | 06:27 | ||
This video explores how to use differentiation rules to make calculus much faster and easier |
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Lecture 15 | 07:08 | ||
Examples to help you understand how to apply differentiation rules to example functions. |
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Lecture 16 | 1 page | ||
Practice Differentiation questions |
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Lecture 17 | 6 pages | ||
Worked solutions for the practice problems on differentiation rules |
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Section 5: Integration | |||
Lecture 18 | 06:53 | ||
This video covers the basics of integration and demonstrates some integration rules which will be used in future videos. |
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Lecture 19 | 05:45 | ||
This video addresses integrating exponential and trigonometric functions which include linear functions of x |
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Lecture 20 | 1 page | ||
Practice your integrations skills |
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Lecture 21 | 2 pages | ||
Worked solutions for the integration practice problems |
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Section 6: Definite Integrals | |||
Lecture 22 | 04:40 | ||
This video explores the fundamental theorem of calculus and shows how to calculate the area under curves between limits. |
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Lecture 23 | 04:22 | ||
In this video, I work through some examples of definite integrals ranging from linear to trigonometric functions. |
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Lecture 24 | 1 page | ||
A set of practice problems on evaluating your definite integral skills. |
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Lecture 25 | 4 pages | ||
Worked solutions to the practice problems for definite integration. |
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Quiz 2 | 4 questions | ||
Test your knowledge of definite integrals. |
Hi, I'm Nick, creator of How To Know Everything. After being employed as a tutor for a few years and from my studies as a Civil Engineer, I have developed experience tutoring students in both beginner and advanced courses in Mathematics, Chemistry, Physics and Engineering Sciences.
My students typically obtain high results and show positive improvement throughout the courses. I aim to deliver the best in online learning at a reasonable price and take pride in creating high-quality content for students.