Calculus 1 — Premed

Calculus 1: 24 lectures in Premed (Premed). Functions and Their Graphs · Limits — Intuitive and Formal Definitions · Computing Limits and Continuity · The Derivative as a Rate of Change · Differentiation Rules — Power, Product, Quotient · The Chain Rule

  1. Lecture 1: Functions and Their Graphs
  2. Lecture 2: Limits — Intuitive and Formal Definitions
  3. Lecture 3: Computing Limits and Continuity
  4. Lecture 4: The Derivative as a Rate of Change
  5. Lecture 5: Differentiation Rules — Power, Product, Quotient
  6. Lecture 6: The Chain Rule
  7. Lecture 7: Derivatives of Trigonometric Functions
  8. Lecture 8: Derivatives of Exponential and Logarithmic Functions
  9. Lecture 9: Implicit Differentiation
  10. Lecture 10: Related Rates
  11. Lecture 11: Linear Approximation and Differentials
  12. Lecture 12: Maximum and Minimum Values
  13. Lecture 13: The Mean Value Theorem
  14. Lecture 14: How Derivatives Affect Graph Shape
  15. Lecture 15: L'Hopital's Rule
  16. Lecture 16: Optimization Problems
  17. Lecture 17: Newton's Method
  18. Lecture 18: Antiderivatives
  19. Lecture 19: The Definite Integral and Riemann Sums
  20. Lecture 20: The Fundamental Theorem of Calculus
  21. Lecture 21: Substitution Rule
  22. Lecture 22: Applications — Areas Between Curves
  23. Lecture 23: Applications — Volumes of Revolution
  24. Lecture 24: Course Review