Chapter 1: Derivatives
1.1: Rates of Change; Secants and Tangents
1.2: Introduction to Differentiation/Derivatives + Real Life Applications
1.3: Addition, Subtraction, Product and Quotient Derivative Rules + Derivatives of Polynomials
1.4: Derivatives of Exponential Functions; Exponential Growth and Decay
1.5: Derivatives of Trigonometric Functions
1.6: Finding Derivatives using the Chain Rules
1.7: Derivatives of Logarithmic Functions
1.8: Implicit vs. Explicit Differentiation
1.9: Related Rates
1.10: Linear Approximations
1.11: Hyperbolic Functions
Chapter 2: Applications of Differentiation
2.1: Maximum and Minimum Values
2.2: Mean Value Theorem
2.3: Indeterminate Forms
2.4: Curve Sketching
2.5: Optimization
2.6: Newton’s Method
2.7: Antiderivatives
Chapter 3: Limits
3.1: Introduction to Limits; Continuity
3.2: Solving Limits using Plug-In Method, Graphical Estimation Table or Values
3.3: Solving Limits using Factoring and Conjugates
3.4: Limits of Function Families. Solving Limits using Squeeze Theorem and L’Hopital’s Rule
3.5: Calculating Limits using Limit Laws
3.6: Limits at Infinity; Horizontal Asymptotes
Link to Textbook: Calculus Early Transcendentals, 8th Edition by James Stewart
Note: Chapter numbers may differ in the textbook compared to the lessons above