Introduction to Differentiation (Differential Calculus)
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Introduction to Differentiation (Differential Calculus)

A great way to start learning Calculus through video lectures and quizzes.
4.5 (10 ratings)
1,074 students enrolled
Last updated 4/2016
English
Current price: \$10 Original price: \$35 Discount: 71% off
30-Day Money-Back Guarantee
Includes:
• 13 hours on-demand video
• 1 Supplemental Resource
• Access on mobile and TV
• Certificate of Completion
What Will I Learn?
• Perform raw Differentiation using Limit method
• Perform Differentiation using the Prime Formula, Product Rule, Quotient Rule and Chain Rule
• Perform Differentiation on Explicit and Implicit Functions
• Find the equations of Tangent and Normal Lines to a curve
• Perform Higher Order Differentiation
• Identify and determine Turning Points, Stationary Points, Maximum Points, Minimum Points and Points of Inflection on a curve using Second Order Derivative
• Solve Geometrical problems using Maximum and Minimum values
• Find Rates of Change in problems involving Geometry
• Approximate results of small changes to the input
View Curriculum
Requirements
• Students should already be familiar with Basic Algebra
• No prior knowledge of Calculus is required
Description

This is an introductory course on Differential Calculus. It comprises of a total of close to 13 hours worth of videos and quizzes. This is perfect for secondary school students seeking a good primer on Calculus. It is also great as a refresher for everyone else.

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 15 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 is the target audience?
• Secondary and High Schools students taking Calculus 1 (Differential Calculus)
• Students preparing for Calculus 1 (Differential Calculus) tests / exams at 'O' Level or its equivalence
• Any adults looking for a refresher in Basic Calculus 1
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Curriculum For This Course
55 Lectures
12:48:22
+
Introduction
2 Lectures 13:12
Preview 02:38

Basic Concept of Differential Calculus
10:34
+
Limits and Instantaneous Gradient of a Curve
9 Lectures 02:01:04
Introduction to Limits
11:50

Introduction to Limits (cont)
08:24

Introduction to Limits (cont)
10:54

Quiz on Limits
10 questions

19:49

Estimation of Differential using Gradient of a Chord
12:05

Estimation of Differential using Gradient of a Chord (cont)
14:22

Using Limit method to find First Derivative of Polynomials
14:44

Using Limit method to find First Derivative of Polynomials (cont)
08:56

The Derivative from First Principles
3 questions

Answers to Quiz on The Derivatives from First Principles
20:00
+
Derivation of Differential Formula
4 Lectures 56:57
Deriving the Prime Formula for Differentiation
14:03

Deriving the Prime Formula for Differentiation (cont)
12:58

Derivation of Differential formula using limit

Preview 12:18

Preview 17:38
+
Differentiation of Polynomial Functions
15 Lectures 03:23:06
Preview 10:55

Determining the First Derivative using the prime Differentiation Formula (cont)
10:48

Differentiation using the Prime Differentiation Formula
5 questions

Answers to Quiz on Differentiation using the Prime Differentiation Formula
13:52

Product Rule
19:22

Differentiation with Product Rule
5 questions

Answers to Quiz on Differentiation with Product Rule
16:33

Quotient Rule
19:35

Differentiation with Quotient Rule
5 questions

Answers to Quiz on Differentiation with Quotient Rule
15:49

Chain Rule
09:59

Differentiation with Chain Rule
5 questions

Answers to Quiz on Differentiation with Chain Rule
14:56

Differentiation of Implicit Functions
15:07

Differentiation of Implicit Functions (cont)
08:52

Differentiation of Implicit Functions
3 questions

Answers to Quiz on Differentiation of Implicit Functions
13:55

Preview 07:26

Differentiation of Polynomial Functions
4 questions

Answers to Quiz on Differentiation of Polynomial Functions (1 of 2)
13:05

Answers to Quiz on Differentiation of Polynomial Functions (2 of 2)
12:52
+
Tangent and Normal Lines
3 Lectures 44:27
Finding Equation of Tangent and Normal Lines to a curve
17:38

Finding Equation of Tangent and Normal Lines to a curve (cont)
12:01

Tangent and Normal Lines to a Polynomial Curve
4 questions

Answers to Quiz on Tangent and Normal Lines to a Polynomial Curve
14:48
+
Characterization of Polynomial Curves
11 Lectures 02:51:24
Turning & Stationary Points, Maximum & Minimum Point & Point of Inflection
07:31

Examining Maximum and Minimum Points
19:44

Examining Maximum and Minimum Points (cont)
13:48

Minimum and Maximum Points
3 questions

Answers to Quiz on Maximum and Minimum Points (Part 1 of 2)
11:12

Answers to Quiz on Maximum and Minimum Points (Part 2 of 2)
13:16

Determining Maximum & Minimum Points using the Second Derivative of the Curves
18:05

Determining Max & Min Points using the Second Derivative of the Curves (cont)
19:13

Finding Minimum and Maximum Points using the Second Derivative
3 questions

Preview 14:45

Determining Points of Inflection using the Second Derivative of the Curves
18:55

Points of Inflection
3 questions

Answers to Quiz on Points of Inflection (part 1 of 2)
19:58

Answers to Quiz on Points of Inflection (part 2 of 2)
14:57
+
Problem Solving using Maximum & Minimum Values
4 Lectures 01:12:06
Solving Geometrical problems using Maximum and Minimum Values
13:46

Solving Geometrical problems using Maximum and Minimum Values (cont)
18:26

Problem Solving using Maximum & Minimum Values
3 questions

Answers to Quiz on Problem Solving using Max & Min Values (Part 1 of 2)
19:57

Answers to Quiz on Problem Solving using Max & Min Values (Part 2 of 2)
19:57
+
Differential as Rate of Change
6 Lectures 01:25:17
Finding Rates of Change in problems involving Geometry
12:21

Finding Rates of Change in problems involving Geometry (cont)
11:05

Finding Rates of Change in problems involving Geometry (cont)
14:51

Rates of Change
3 questions

Answers to Quiz on Rates of Change
19:26

Using Derivative to Approximate results of Small Changes to the input
13:09

Approximation of Change
4 questions

Answers to Quiz on Approximation of Change
14:25
+
Conclusion
1 Lecture 00:49
Conclusion
00:49