Master the Fundamentals of Calculus

Master the fundamentals of Calculus for GCE/IGCSE/IB Mathematics students.

Dear students,

What you’ll 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.

Course Content

  • Introduction to Differentiation –> 2 lectures • 7min.
  • Basic Differentiation Properties and Techniques –> 11 lectures • 47min.
  • Applications of Differentiation –> 11 lectures • 45min.
  • Quiz 1 –> 0 lectures • 0min.
  • Introduction to Integration –> 1 lecture • 3min.
  • Basic Integration Properties and Techniques –> 9 lectures • 36min.
  • Applications of Integration –> 9 lectures • 33min.
  • Quiz 2 –> 0 lectures • 0min.
  • Further Calculus Concepts, Problems and Quiz Solutions –> 4 lectures • 12min.

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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

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