Beginner Calculus

Master the basics of Calculus from Precalculus Algebra through to Differentiation and Integration.
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  • Lectures 25
  • Length 2 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 2/2016 English

Course Description

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.

What are the requirements?

  • Basic Algebra Skills
  • A scientific calculator is recommended

What am I going to get from this course?

  • Pre-Calculus Algebra Manipulation and Solving Equations
  • Interpret and Understand Function Graphs
  • Differentiate To Find Gradient Functions
  • Evaluate both Indefinite and Definite Integrals

What is the target audience?

  • High School Students
  • First year University Maths Students
  • People wishing to refresh their Maths from High School

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction
02:21

Introduction video providing background for the course and information on the topics involved.

7 pages

PDF Version of the Introduction Video

Section 2: Algebra
10:34

Techniques for solving algebraic equations such as linear, quadratic, log, exponential and trigonometric equations.

05:45

Example solutions to linear, quadratic, logarithmic, exponential and trigonometric equations.

1 page

Questions for you to practice algebraic manipulation and solving equations.

5 pages

Worked Solutions for the Algebra Practice Problems

6 questions

Test your knowledge by solving some Algebraic Equations.

Section 3: Graphing
08:36

Teaches you the basics of graphing functions of x and y.

06:44

This video explores how to take simple functions and alter and translate them into more complicated ones graphically.

1 page

Practice problems to help you develop graphing skills

17 pages

Worked solutions to the practice problems.

03:54

In this video we look at what limits are and some special ways to denote functions.

Section 4: Differentiation
02:21

Shows how to differentiate a general function from first principles.

02:34

Examples to help you differentiate functions from first principles

06:27

This video explores how to use differentiation rules to make calculus much faster and easier

07:08

Examples to help you understand how to apply differentiation rules to example functions.

1 page

Practice Differentiation questions

6 pages

Worked solutions for the practice problems on differentiation rules

Section 5: Integration
06:53

This video covers the basics of integration and demonstrates some integration rules which will be used in future videos.

05:45

This video addresses integrating exponential and trigonometric functions which include linear functions of x

1 page

Practice your integrations skills

2 pages

Worked solutions for the integration practice problems

Section 6: Definite Integrals
04:40

This video explores the fundamental theorem of calculus and shows how to calculate the area under curves between limits.

04:22

In this video, I work through some examples of definite integrals ranging from linear to trigonometric functions.

1 page

A set of practice problems on evaluating your definite integral skills.

4 pages

Worked solutions to the practice problems for definite integration.

4 questions

Test your knowledge of definite integrals.

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Instructor Biography

How To Know Everything, Maths and Science Tutoring Website

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.


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