MAT-21A: Differential Calculus

Lecture Notes:

Lecture 1: Revision - Function I

Lecture 2: Revision - Function II

Lecture 3: Rate of Change

Lecture 4: Limit I

Lecture 5: Limit II

Lecture 6: Limit III

Lecture 7: Continuity

Lecture 8: Asymptotes

Lecture 9: Derivatives

Lecture 10: Differentiation Rules

Lecture 11: Derivatives of Exponential and Trig Functions

Lecture 12: Rate of Change Application

Lecture 13: Chain Rule

Lecture 14: Implicit and Inverse Differentiation

Lecture 15: Inverse Trig and Logarithmic Differentiation

Lecture 16: Related Rates

Lecture 17: Linearization and Approximation

Lecture 18: Extreme Value and Mean Value Theorems

Lecture 19: Applied Optimization

Lecture 20: First Derivative Test

Lecture 21: Second Derivative Test

Lecture 22: Curve Sketching

Lecture 23: L'Hôspital Rule

Lecture 24: Newton's Method