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Teaching & Academics Math Calculus

Introduction to Differentiation (Differential Calculus)

A great way to start learning Calculus through video lectures and quizzes.
Rating: 3.9 out of 53.9 (18 ratings)
8,218 students
Created by Mohd Fikri Abdul Aziz
Last updated 4/2016
English
30-Day Money-Back Guarantee

What you'll 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 this course is for:

  • 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

Course content

9 sections • 55 lectures • 12h 48m total length

  • Preview02:38
  • Basic Concept of Differential Calculus
    10:34

  • 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

  • Deriving the Prime Formula for Differentiation
    14:03
  • Deriving the Prime Formula for Differentiation (cont)
    12:58
  • Preview12:18
  • Preview17:38

  • Preview10:55
  • 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
  • Preview07:26
  • 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

  • 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

  • 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
  • Preview14:45
  • 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

  • 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

  • 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
    00:49

Instructor

Mohd Fikri Abdul Aziz
(BEng Electronics Engineering)
Mohd Fikri Abdul Aziz
  • 4.3 Instructor Rating
  • 51 Reviews
  • 8,432 Students
  • 6 Courses

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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