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This is an introductory course on Differential Calculus. It comprises of a total of close toÂ 13Â hoursÂ 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.
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Section 1: Introduction  

Lecture 1 
About the Instructor and High Level Overview of the course.
Preview

02:38  
Lecture 2 
Basic Concept of Differential Calculus

10:34  
Section 2: Limits and Instantaneous Gradient of a Curve  
Lecture 3 
Introduction to Limits

11:50  
Lecture 4 
Introduction to Limits (cont)

08:24  
Lecture 5 
Introduction to Limits (cont)

10:54  
Quiz 1 
Quiz on Limits

10 questions  
Lecture 6 
Answers to Quiz on Limits

19:49  
Lecture 7 
Estimation of Differential using Gradient of a Chord

12:05  
Lecture 8 
Estimation of Differential using Gradient of a Chord (cont)

14:22  
Lecture 9 
Using Limit method to find First Derivative of Polynomials

14:44  
Lecture 10 
Using Limit method to find First Derivative of Polynomials (cont)

08:56  
Quiz 2 
The Derivative from First Principles

3 questions  
Lecture 11 
Answers to Quiz on The Derivatives from First Principles

20:00  
Section 3: Derivation of Differential Formula  
Lecture 12 
Deriving the Prime Formula for Differentiation

14:03  
Lecture 13 
Deriving the Prime Formula for Differentiation (cont)

12:58  
Lecture 14  12:18  
Derivation of Differential formula using limit 

Lecture 15 
Deriving the Prime Formula for Differentiation. Supplementary Lecture. (cont)
Preview

17:38  
Section 4: Differentiation of Polynomial Functions  
Lecture 16 
Determining the First Derivative using the prime Differentiation Formula
Preview

10:55  
Lecture 17 
Determining the First Derivative using the prime Differentiation Formula (cont)

10:48  
Quiz 3 
Differentiation using the Prime Differentiation Formula

5 questions  
Lecture 18 
Answers to Quiz on Differentiation using the Prime Differentiation Formula

13:52  
Lecture 19 
Product Rule

19:22  
Quiz 4 
Differentiation with Product Rule

5 questions  
Lecture 20 
Answers to Quiz on Differentiation with Product Rule

16:33  
Lecture 21 
Quotient Rule

19:35  
Quiz 5 
Differentiation with Quotient Rule

5 questions  
Lecture 22 
Answers to Quiz on Differentiation with Quotient Rule

15:49  
Lecture 23 
Chain Rule

09:59  
Quiz 6 
Differentiation with Chain Rule

5 questions  
Lecture 24 
Answers to Quiz on Differentiation with Chain Rule

14:56  
Lecture 25 
Differentiation of Implicit Functions

15:07  
Lecture 26 
Differentiation of Implicit Functions (cont)

08:52  
Quiz 7 
Differentiation of Implicit Functions

3 questions  
Lecture 27 
Answers to Quiz on Differentiation of Implicit Functions

13:55  
Lecture 28 
Higher Order Differentiation
Preview

07:26  
Quiz 8 
Differentiation of Polynomial Functions

4 questions  
Lecture 29 
Answers to Quiz on Differentiation of Polynomial Functions (1 of 2)

13:05  
Lecture 30 
Answers to Quiz on Differentiation of Polynomial Functions (2 of 2)

12:52  
Section 5: Tangent and Normal Lines  
Lecture 31 
Finding Equation of Tangent and Normal Lines to a curve

17:38  
Lecture 32 
Finding Equation of Tangent and Normal Lines to a curve (cont)

12:01  
Quiz 9 
Tangent and Normal Lines to a Polynomial Curve

4 questions  
Lecture 33 
Answers to Quiz on Tangent and Normal Lines to a Polynomial Curve

14:48  
Section 6: Characterization of Polynomial Curves  
Lecture 34 
Turning & Stationary Points, Maximum & Minimum Point & Point of Inflection

07:31  
Lecture 35 
Examining Maximum and Minimum Points

19:44  
Lecture 36 
Examining Maximum and Minimum Points (cont)

13:48  
Quiz 10 
Minimum and Maximum Points

3 questions  
Lecture 37 
Answers to Quiz on Maximum and Minimum Points (Part 1 of 2)

11:12  
Lecture 38 
Answers to Quiz on Maximum and Minimum Points (Part 2 of 2)

13:16  
Lecture 39 
Determining Maximum & Minimum Points using the Second Derivative of the Curves

18:05  
Lecture 40 
Determining Max & Min Points using the Second Derivative of the Curves (cont)

19:13  
Quiz 11 
Finding Minimum and Maximum Points using the Second Derivative

3 questions  
Lecture 41 
Answers to Quiz on Maximum & Minimum Points using the Second Derivatives
Preview

14:45  
Lecture 42 
Determining Points of Inflection using the Second Derivative of the Curves

18:55  
Quiz 12 
Points of Inflection

3 questions  
Lecture 43 
Answers to Quiz on Points of Inflection (part 1 of 2)

19:58  
Lecture 44 
Answers to Quiz on Points of Inflection (part 2 of 2)

14:57  
Section 7: Problem Solving using Maximum & Minimum Values  
Lecture 45 
Solving Geometrical problems using Maximum and Minimum Values

13:46  
Lecture 46 
Solving Geometrical problems using Maximum and Minimum Values (cont)

18:26  
Quiz 13 
Problem Solving using Maximum & Minimum Values

3 questions  
Lecture 47 
Answers to Quiz on Problem Solving using Max & Min Values (Part 1 of 2)

19:57  
Lecture 48 
Answers to Quiz on Problem Solving using Max & Min Values (Part 2 of 2)

19:57  
Section 8: Differential as Rate of Change  
Lecture 49 
Finding Rates of Change in problems involving Geometry

12:21  
Lecture 50 
Finding Rates of Change in problems involving Geometry (cont)

11:05  
Lecture 51 
Finding Rates of Change in problems involving Geometry (cont)

14:51  
Quiz 14 
Rates of Change

3 questions  
Lecture 52 
Answers to Quiz on Rates of Change

19:26  
Lecture 53 
Using Derivative to Approximate results of Small Changes to the input

13:09  
Quiz 15 
Approximation of Change

4 questions  
Lecture 54 
Answers to Quiz on Approximation of Change

14:25  
Section 9: Conclusion  
Lecture 55 
Conclusion

00:49 
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.