Course Description
Language of Instruction:English|Category: Mathematics: 11th-12th grade
- This course is mainly for students at Grade 11 – 12/ CBSE Plus 2 / GCSE - A & AS - Level (Edexcel)/ IB/ Higher secondary School level/ equivalent
- It is also useful to all prospective candidates preparing for various Engineering entrance examinations like AIEEE, JEE , IIT etc
- This course also serves as an effective study material to have a very quick revision of the entire topic ‘differential calculus’ in no time
- It will also enable the students to strengthen their basic techniques in differentiation and thus to stimulate their interest in working out problems of higher difficulty level
- This course might be useful to even students at degree level
Content:
Differentiation
- Derivative of xn , where n is a fixed rational number
- Derivatives of trigonometric functions
- Product rule of differentiation
- Quotient rule of differentiation
- Differentiating composite functions (function of a function rule)
- Derivatives of logarithmic and exponential functions
- Derivatives of inverse trigonometric functions
- Differentiating implicit functions
- Logarithmic differentiation
- Differentiation of parametric functions
- Higher order derivatives
Application of Differentiation
- Rate of change of quantities
- Increasing and decreasing functions
- Maxima and minima
- Rolle’s theorem and Mean value theorem
- Tangents and normals
- Differentials and approximations
Tests, Assignments, solutions and Free online lessons:
- You will find in this package, a total of 150 standard examples from the topic, ‘DIFFERENTIATION AND ITS APPLICATIONS ’. They appear either in an assignment or in a test
- There are 5 assignments and 5 tests in this course
- Each assignment consists of 20 questions . Stepwise solutions for all these questions are provided as Power point presentations.
- 5 multiple choice tests consisting of 10 questions each. All these tests are created using the WiZiQ’s features.
- Three free live online lessons to enable the students to clear their doubts or to interact with the author directly
- List of all formulas from the topic, “Differentiation and Applications”
About The Author:
The Author of this course has about 30 years experience in the art of teaching mathematics at both Secondary and Higher Secondary(Advanced) level. He was an Examiner of the ICSE (Indian Certificate of Secondary Education), INDIA. He was also a teacher in Africa (Sierra Leone , Nigeria and Botswana) for about 20 years.
Currently he is an active member of WiZiQ. He is much familiar with most of the International mathematics syllabuses particularly to mention CBSE, GCSE and K-12(Both Ordinary and Advanced Levels). He is now involved in taking online tuition's using our base.
Mr. George holds a Master's Degree in Mathematics together with a Bachelor's degree in the Methodology of teaching Mathematics.