Master the Fundamentals of Calculus
Master the fundamentals of Calculus for GCE/IGCSE/IB Mathematics students.
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What You Will Learn!
- Limits
- Basic Techniques of Differentiation
- Chain Rule, Product Rule and Quotient Rule
- Differentiation of Algebraic Expressions
- Differentiation of Trigonometric Functions
- Differentiation of Exponential Functions
- Differentiation of Logarithmic Functions
- Concept of Stationary Points
- Applications of Differentiation
- Integration and its Relationship with Differentiation
- Basic Techniques of Integration
- Definite Integration
- Applications of Integration
Description
Dear students,
Welcome to this course "Master the Fundamentals of Calculus"!
This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A levels or the IB SL/HL Mathematics examinations. Students who are taking the IGCSE/GCE O levels pure mathematics are also welcome to read this course for advanced enrichment.
What you will learn:
At the end of the course, and depending on which exams you are taking, you will learn most/all of the following
Concept of limits
Chain rule, Product rule and Quotient rule
Differentiation of Algebraic functions, Trigonometric functions, Exponential functions, Logatihmic functions etc
Concept of Stationary Points
Applications of Differentiation - Maxima/Minima, Connected Rates of Change, Gradient/Tangents/Normal, Kinematics
Integration techniques
Finite and Infinite Integration
Applications of Integration - Area under Graph, Volume of Revolution, Kinematics
Along the way, there will be quizzes and practice questions for you to get familiarized with Calculus. There are also further practices which will enhance your understanding of the topic. More practice questions will be added in the near future to provide ample opportunities for students to improve on their Calculus fundamentals.
If you encounter any problems, please do not hesitate to contact me for more clarifications.
I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers! ;-)
Dr. Ling M K Daniel, PhD
Who Should Attend!
- Students who are taking the GCE/IGCSE 'A' level Mathematics
- Students who are taking the IB Diploma SL/HL Mathematics
- Students who are going to study Engineering or any Mathematics-intensive courses at universities and need a good Calculus foundation
- Students who are taking the GCE/IGCSE 'O' level Pure Mathematics
- Any learner who has a keen interest to recap or learn Calculus for FUN!
