calculus I

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Handouts from Class

Chapter One

• 1.1: Linear Exercises
• 1.1: More Linear Exercises
• 1.2: Exponential Functions
• 1.3: Inverse Functions
• 1.3: Stretching and Shifting Functions
• 1.4: Logarithms
• 1.4: More Logarithms
• 1.5: Radians
• 1.5: Trig Functions
• 1.5: Trig Graphing Puzzles
• 1.6: Power Functions

Chapter Two

1. 2.1: A Running Cat
2. 2.1: Cats and Instantantous Velocity
3. 2.1: More Cats and More Velocity
4. 2.1: More Average Velocities
5. 1.8: Limits
6. 2.2: Derivative at a Point
7. 2.2: Derivative at a Point
8. 2.3: The Derivative Function
9. 2.3: The Derivative Function
10. 2.3: The Derivative Function
11. 2.4: Interpreting Derivatives
12. 2.4: More Interpreting Derivatives
13. 2.5: The Second Derivative
14. 2.5: More Second Derivatives

Chapter Three

1. 3.1: Power Rule
2. 3.2: Evaluating a Fun Limit
3. 3.2: Differentiating Exponential Functions
4. 3.3: The Product Rule
5. 3.4: The Chain Rule
6. 3.4: More Chain Rule
7. 3.4: Even More Chain Rule
8. 3.5: Trig Functions
9. 3.6: Chain Rule and Inverse Functions
10. 3.7: Implicit Differentiation
11. 3.9: The Tangent Line Approximation

Chapter Four

1. 4.1: Using the First and Second Derivative
2. 4.3: Optimization
3. 4.5: Optimization and Modeling
4. 4.4: Applications to Marginality
5. 4.5: More Optimization
6. 4.6: Related Rates
7. Chapter 3 and Exam Review

Old Exams

1. 2012 Midterm
2. 2012 Final