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Introduction to Integration (Integral Calculus)
Rating: 4.6 out of 5(31 ratings)
109 students

Introduction to Integration (Integral Calculus)

A great way to start learning Calculus through video lectures and quizzes.
Created byMohd Fikri Abdul Aziz
Last updated 5/2016
English

What you'll learn

  • 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

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Course content

3 sections • 30 lectures • 4h 59m total length

  • About the Instructor and high level overview of the course2:05

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

  • Integration as Anti-Derivative4:30

    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.

  • Integration as Anti-Derivative
  • Answers to Quiz on Integration as Anti-Derivative2:54

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

  • Determining Integrals by Reversing Differentiation7:34

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

  • Derivation of Formula for Integration8:18

    Shows you how to Derive the formula for Integration. 

  • Determining Integrals of Algebraic Expressions16:19

    Describes to students how to apply the Integral Formula.

  • Indefinite Integral
  • Answers to Quiz on Indefinite Integral13:10

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

  • Answers to Quiz on Indefinite Integral (cont)10:04

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

  • Determining Equations of Curves from Functions of Gradient8:25

    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.

  • Determining Equations of Curves from their Gradient Functions
  • Answers to Quiz to Equations of Curves and their Gradient Function10:14

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

  • Answers to Quiz to Equations of Curves and their Gradient Function (cont)10:35

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

  • Determining Integrals of Composite Functions with Linear Factors19:22

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

  • Integrals of Composite Functions with Linear Factors
  • Answers to Quiz on Integrals of Composite Functions with Linear Factors6:45

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

Requirements

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

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!

Who this course is for:

  • 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

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