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Chapter 1 Functions and Their Graphs
- Homework – Ch 1
- Calculus I In Class Diagnostic Test
- Calculus I Take Home Diagnostic Test
- UC Berkeley’s Online Calculus Diagnostic Test
- Examples Exponential, Logarithmic Functions
- Practice Problems Trigonometry Review Part 1
- Practice Problems Trigonometry Review Part 2
- Introduction to finding exact value of trigonometric function (YouTube)
- Unit Circle Definition of Trig Functions (Khan Academy/YouTube)
Chapter 2 Limits and Derivatives
- Homework – Ch 2
- Practice Problems Calculate Limit Using Limit Laws
- Practice Problems Part II Calculate Limits
- Epsilon Delta Definition of Limit (YouTube Video)
- Examples Limits at infinity (PDF)
- Examples Limits of Trig functions (PDF)
- Examples Intro to Limits (PDF)
- Examples Limit Theorems (PDF)
- Examples: Calculate Derivative using the Limit Definition (PDF)
Chapter 3 Derivatives
- Homework – Ch 3 Part 1
- Homework – Ch 3 Part 2
- Practice Problems Part 1
- Practice Problems Part 2
- Practice Problems Graphs of Derivatives
- Pascal’s Triangle (Wolfram Mathworld)
- Examples: The Derivative
- Examples: Rules to Find Derivatives
- Examples: Velocity and Acceleration
- Examples: Slope, Instant Rate of Change, Velocity
- Examples: Chain Rule
- Examples: Derivatives of Trigonometric Functions
- Examples: Derivatives of Exponential and Logarithmic Functions
- Examples: Implicit Differentiation
- Examples: Related Rates
- Examples: Derivatives of Inverse Trig Functions and Hyperbolic Functions
- Examples: Differentials and Approximations
- Resource: Related Rates Problems
Chapter 4 Applications of the Derivative
- Homework – Chapter 4
- Practice Problems: Applications of the Derivative
- Examples: Maxima and Minima
- Examples: Mean Value Theorem, L’Hopital’s Rule
- Examples: Tests, Optimization Problems
- Fall 2019 Lecture Notes