Introduction to Differentiation (Differential Calculus)
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
Instructor
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.