MTH131‎ > ‎

### Chapters

Chapter 1: Analytic Geometry
• This chapter is primarily a review of previous algebra and geometry concepts that you will need for calculus.
• This chapter will NOT be covered in this course. I suggest reviewing this chapter as needed.

Chapter 2: Instantaneous Rate of Change: The Derivative
• Notes
• 2.3 Limits
• 4.3 A Hard Limit
• 2.4 The Derivative Function

Chapter 3: Rules for Finding Derivatives
• Notes
• 3.1 The Power Rule
• 3.2 Linearity of the Derivative
• 3.3 The Product Rule
• 3.4 The Quotient Rule
• 3.5 The Chain Rule

Chapter 4: Transcendental Functions
• Notes
• 4.4 The Derivative of sin x
• 4.5 Derivatives of the Trigonometric Functions
• 4.6 Exponential and Logarithmic Functions
• 4.7 Derivatives of Exponential and Logarithmic Functions
• 4.8 Implicit Differentiation
• 4.9 Inverse Trigonometric Functions
• 4.10 Limits Revisited
• 4.11 Hyperbolic Functions

• Notes
• 5.1 Maxima and Minima
• 5.2 The First Derivative Test
• 5.3 The Second Derivative Test
• 5.4 Concavity and Inflection Points
• 5.5 Asymptotes and Other Things to Look For

• Notes
• 6.1 Optimization
• 6.2 Related Rates
• 6.3 Newton’s Method
• 6.4 Linear Approximations
• 6.5 The Mean Value Theorem

Chapter 7: Integration
• Notes
• 7.1 Two Examples
• 7.2 The Fundamental Theorem of Calculus
• 7.3 Some Properties of Integrals