Introduction to Integration (Integral Calculus)

A great way to start learning Calculus through video lectures and quizzes.
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  • Lectures 30
  • Length 5 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
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About This Course

Published 5/2016 English

Course Description

This is an introductory course on Integral Calculus. It comprises of a total of 5 hours of videos and quizzes. This is perfect for secondary school students seeking a good primer on Integral Calculus. It is also great as a refresher for everyone else. However prior knowledge in Differential Calculus is a MUST before learning this topic.

The course is arranged from the very basic introduction and progresses swiftly with increasing depth and complexity on the subject. It is recommended that the students do not skip any part of the lectures, or jump back and forth, because good understanding of the fundamental is important as you progress.

Quizzes are included on 7 subtopics to strengthen your understanding and fluency on this topic. So it is advisable that you attempt all the questions.

The course is delivered by an experienced teacher with five years of experience teaching students on a one to one basis. The instructor understands the difficulties that students normally face to become competent in mathematics. So words and examples were carefully chosen to ensure that everybody gets the most out of this series of lectures. This is a MUST course for all secondary school students.

Have fun learning!

What are the requirements?

  • Students should already be familiar with Basic Algebra
  • Students should have good understanding of Differential Calculus

What am I going to get from this course?

  • Understand the relationship between Integral and Differential Calculus
  • Perform Integration on single variable polynomial expressions
  • Perform Integration on Composite Functions with Linear Factors
  • Perform Indefinite and Definite Integration
  • Determine Area Under a Curve using Definite Integral
  • Determine Volume of Revolution using Definite Integral

What is the target audience?

  • Secondary and High Schools students taking Calculus 1 (Integral Calculus)
  • Students preparing for Calculus 1 (Integral Calculus) tests / exams at 'O' Level or its equivalence
  • Any adults looking for a refresher in Basic Calculus 1

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: Indefinite Integral
02:05

This video describes the instructor, the goal of the course, the ideal students for this course and the outline of the course.

04:30

It describe the basic relationship between Differential and Integral Calculus. This is the most important information the students need to know before proceeding with the rest of the videos.

3 questions

The questions were design to test students' understanding of Anti-Derivative

02:54

Provides the method to answer the questions posed in the previous quiz.

07:34

Explains how to perform Integration of Polynomial Functions by Reversing their Derivatives.

08:18

Shows you how to Derive the formula for Integration. 

16:19

Describes to students how to apply the Integral Formula.

15 questions

This includes Indefinite Integrals of single and multiple term algebraic equations. It will test the students' understanding and familiarity of the Integral Formula.

13:10

Provides the method to answer the questions posed in the previous quiz.

10:04

Provides the method to answer the questions posed in the previous quiz.

08:25

In Differential Calculus course, students were thought on how to determine Gradient Function from its Polynomial equation. In this video students are shown on how to do the reverse.

4 questions

This is to test the students' ability in performing integration and finding the value of constant 'c'.

10:14

Provides the method to answer the questions posed in the previous quiz.

10:35

Provides the method to answer the questions posed in the previous quiz.

19:22

Describe how to perform Integration to Composite Functions with Linear Factors only.

4 questions

Testing students on Integrals of Composite Functions with Linear Factors

06:45

Provides the method to answer the questions posed in the previous quiz.

Section 2: Definite Integral
09:53

Explains what Definite Integral is and how to calculate Definite Integral value.

5 questions

This tests students ability in performing Definite Integrals.

16:02

Provides the method to answer the questions posed in the previous quiz.

15:22

Describes how to apply Definite Integral to calculate Area enclosed by a Polynomial Curve and x or y axis.

10:01

Describes how to apply Definite Integral to calculate Area enclosed by a Polynomial Curve and x or y axis. This a sequence of the previous video.

07:38

Describes how to apply Definite Integral to calculate Area enclosed by a Polynomial Curve and x or y axis. This a sequence of the previous video.

05:11

Describes how to apply Definite Integral to calculate Area enclosed by a Polynomial Curve and x or y axis. This a sequence of the previous video.

10:34

Describes how to apply Definite Integral to calculate Area enclosed by a Polynomial Curve and x or y axis. This a sequence of the previous video.

4 questions

This tests students ability in using Definite Integrals to find Area Under a Curve.

12:28

Provides the method to answer the questions posed in the previous quiz.

17:11

Provides the method to answer the questions posed in the previous quiz.

07:21

Provides the method to answer the questions posed in the previous quiz.

Section 3: Volume of Revolution
12:36

This video describes how to estimate Volumes of Revolution by calculating the volumes of thin cylinders constructed inside the revolved area under a curve.

09:52

This video describes how to estimate Volumes of Revolution by calculating the volumes of thin cylinders constructed inside the revolved area under a curve. This video is a sequence of the previous video.

04:49

This video describes how to accurately calculate Volume of Revolution using Definite Integral.

03:13

This video describes how to accurately calculate Volume of Revolution using Definite Integral. This video is a sequence to the previous video.

4 questions

This tests the students ability to use Definite Integral to solve problems involving Volume of Revolution.

16:28

Provides the method to answer the questions posed in the previous quiz.

19:40

Provides the method to answer the questions posed in the previous quiz.

Conclusion
00:43

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Instructor Biography

Mr Mohd Fikri Abdul Aziz, (BEng Electronics Engineering)

A Penang based Engineer cum Tutor, a father of four, with a passion to teach and help students excel in Math. He is also known as MrMaths by his students.

He was graduated with Bachelors Degree in Electronics Engineering from the University of Sheffield in England. He has fourteen years of working experience in electronics industry with Intel Corp and Dell Corp and years of Mathematics teaching and home tutoring experience. In the past he has also taught Physics. Today he is a full time Math tutor Since January 2012, he started tutoring outside of Penang and outside of Malaysia using Video Conferencing on the internet. Teaching in both Bahasa Melayu (Malay) and in English.

He is friendly and always treat his students as if they are his own children.

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