Introduction to Integration (Integral Calculus)
4.6 (14 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
69 students enrolled

Introduction to Integration (Integral Calculus)

A great way to start learning Calculus through video lectures and quizzes.
4.6 (14 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
69 students enrolled
Last updated 5/2016
English
Current price: $18.99 Original price: $29.99 Discount: 37% off
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This course includes
  • 5 hours on-demand video
  • 6 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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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
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
Course content
Expand all 30 lectures 04:59:17
+ Indefinite Integral
13 lectures 02:00:15

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

Preview 02:05

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
04:30

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

Integration as Anti-Derivative
3 questions

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

Answers to Quiz on Integration as Anti-Derivative
02:54

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

Determining Integrals by Reversing Differentiation
07:34

Shows you how to Derive the formula for Integration. 

Preview 08:18

Describes to students how to apply the Integral Formula.

Determining Integrals of Algebraic Expressions
16:19

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

Indefinite Integral
15 questions

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

Answers to Quiz on Indefinite Integral
13:10

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

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

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 Functions of Gradient
08:25

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

Determining Equations of Curves from their Gradient Functions
4 questions

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

Answers to Quiz to Equations of Curves and their Gradient Function
10:14

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

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

Determining Integrals of Composite Functions with Linear Factors
19:22

Testing students on Integrals of Composite Functions with Linear Factors

Integrals of Composite Functions with Linear Factors
4 questions

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

Answers to Quiz on Integrals of Composite Functions with Linear Factors
06:45
+ Definite Integral
10 lectures 01:51:41

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

Determining Definite Integrals of Algebraic Expressions
09:53

This tests students ability in performing Definite Integrals.

Definite Integrals
5 questions

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

Preview 16:02

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

Using Definite Integral to find Area Under a Curve
15:22

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.

Using Definite Integral to find Area Under a Curve (cont)
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.

Using Definite Integral to find Area Under a Curve (cont)
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.

Using Definite Integral to find Area Under a Curve (cont)
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.

Using Definite Integral to find Area Under a Curve (cont)
10:34

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

Area Under a Curve
4 questions

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

Answers to Quiz on Area Under a Curve
12:28

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

Preview 17:11

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

Answers to Quiz on Area Under a Curve (cont)
07:21
+ Volume of Revolution
7 lectures 01:07:21

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

Estimating Volumes 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. This video is a sequence of the previous video.

Estimating Volumes of Revolution (cont)
09:52

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

Determining Volumes of Revolution using Definite Integral
04:49

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

Determining Volumes of Revolution using Definite Integral (cont)
03:13

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

Volume of Revolution
4 questions

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

Answers to Quiz on Volume of Revolution
16:28

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

Answers to Quiz on Volume of Revolution (cont)
19:40
Conclusion
00:43