Study Habits

Calculus (Single Variable)

Course overview

In this mini course, you will learn about single variable calculus. This is one of the most important areas of mathematics, and it deals with rates of change. These lessons build an important foundation for further studies in math, science, economics or engineering.

The lectures come from the open course videos published by MIT OpenCourseWare and were delivered by Prof. David Jerison in the fall of 2006.

Prerequisites

You will need to know basic arithmetic and algebra.

31 lessons

  1. 01About this Mini Course
  2. 02Lecture 1: Introduction to Calculus
  3. 03Lecture 2: Limits and Continuity
  4. 04Lecture 3: Derivatives
  5. 05Lecture 4: The Product Rule, Quotient Rule and Chain Rule
  6. 06Lecture 5: Implicit Differentiation
  7. 07Lecture 6: Differentiating Exponential Functions and Logarithmic Functions
  8. 08Lecture 7: Continuation on Exponential Functions
  9. 09Lecture 9: Linear and Quadratic Functions
  10. 10Lecture 10: Linear Approximations
  11. 11Lecture 11: Solving Max and Min Problems
  12. 12Lecture 12: Related Rates
  13. 13Lecture 13: Newton-Raphson's method
  14. 14Lecture 14: Mean Value Theorem
  15. 15Lecture 15: Differentials and Antiderivatives
  16. 16Lecture 16: Differential Equations
  17. 17Lecture 18: Ordinary Differential Equations
  18. 18Lecture 19: The First Fundamental Theorem of Calculus
  19. 19Lecture 20: The Second Fundamental Theorem of Calculus
  20. 20Lecture 21: The Fundamental Theorem of Calculus (continued)
  21. 21Lecture 22: Volumes of Revolution
  22. 22Lecture 23: Probability and Integrals
  23. 23Lecture 24: Numerical Integration
  24. 24Lecture 25: When to Use Volumes of Revolution or Shells
  25. 25Lecture 27: Trigonometric integration
  26. 26Lecture 28: Integration by Using Inverse Substitution
  27. 27Lecture 29: Partial Fractions
  28. 28Lecture 30: Integration by Parts
  29. 29Lecture 31: Parametric Equations
  30. 30Lecture 32: Polar Coordinates
  31. 31Lecture 33: Review before Exam