Calc 1: Differential Calculus

This is a list of videos that I recorded for the Introductory differential calculus course Math 10A at UC San Diego.

• Lecture 1: Review of Functions
• Lecture 2: Elementary Functions
• Lecture 3: Trigonometric Functions
• Lecture 4: Inverse Functions
• Lecture 5: Exponential and Logarithmic Functions
• Lecture 6: A Preview of Calculus
• Lecture 7: Limit of a Function
• Lecture 8: Calculating Limits
• Lecture 9: Continuity
• Lecture 10: The Derivative
• Lecture 11: The Derivative as a Function
• Lecture 12: Derivative Rules
• Lecture 13: More Derivative Rules
• Lecture 14: Rate of Change
• Lecture 15: Derivatives of the Trigonometric Functions
• Lecture 16: The Chain Rule
• Lecture 17: Derivatives of Inverse Functions
• Lecture 18: The Method of Implicit Differentiation
• Lecture 19: Derivatives of Logarithmic Functions
• Lecture 20: Approximations and Differentials
• Lecture 21: The Extreme Value Theorem
• Lecture 22: The Mean Value Theorem
• Lecture 23: The First and Second Derivative Tests
• Lecture 24: Techniques for Sketching Graphs
• Lecture 25: Optimization Problems
• Lecture 26: L'Hôpital's Rule

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