Section 1.1: Review of Functions
Section 1.2: Basic Classes of Functions
Section 1.3: Trigonometric Functions
Section 1.4: Inverse Functions
Section 1.5: Exponential and Logarithmic Functions
Section 2.1: A Preview of Calculus
Section 2.2: The Limit of a Function
Section 2.3: Limit Laws
Section 2.4: Continuity
Section 2.5: The Precise Definition of a Limit (Part 1)
Section 2.5: The Precise Definition of a Limit (Part 2)
Part 2
Section 3.1: Defining the Derivative
Section 3.2: The Derivative as a Function
Section 3.3: Differentiation Rules
Section 3.4: Derivatives as Rates of Change
Section 3.5: Derivatives of Trigonometric Functions
Section 3.6: The Chain Rule
Section 3.7: Derivatives of Inverse Functions
Section 3.8: Implicit Differentiation
Section 3.9: Derivatives of Exponential and Logarithmic Functions
Part 3
Section 4.1: Related Rates
Section 4.2: Linear Approximations and Differentials
Section 4.3: Maxima and Minima
Section 4.4: The Mean Value Theorem
Section 4.5: Derivatives and the Shape of a Graph
Section 4.6: Limits at Infinity and Asymptotes
Section 4.7: Applied Optimization Problems (Part 1)
Section 4.7: Applied Optimization Problems (Part 2)
Section 4.8: L'Hôpital’s Rule
Section 4.9: Newton's Method
Section 4.10: Antiderivatives