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Introduction to Differentiation (Differential Calculus)

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A great way to start learning Calculus through video lectures and quizzes.

69 students enrolled

Current price: $10
Original price: $35
Discount:
71% off

30-Day Money-Back Guarantee

- 13 hours on-demand video
- 1 Supplemental Resource
- Full lifetime access
- 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

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

Expand All 55 Lectures
Collapse All 55 Lectures
12:48:22

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–

Introduction
2 Lectures
13:12

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

Answers to Quiz on Limits

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

+
–

Differentiation of Polynomial Functions
15 Lectures
03:23:06

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

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

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

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–

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

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Conclusion
1 Lecture
00:49

Conclusion

00:49

About the Instructor

(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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