| Section | Topic | Learning Activities | Section Concept Guide
(Extra Practice – Not Collected or Graded) |
|---|---|---|---|
| Review | Applications of Logarithms.pdf | ||
| 2.1 | The Tangent and Velocity Problems | Overview of Calculus.pdf | section2_1.pdf |
| 2.2 | The Limit of a Function | Applications of Limits.pdf | section2_2.pdf |
| 2.3 | Calculating Limits Using the Limit Laws | Week 2 Worksheet.pdf | section2_3.pdf |
| 2.4 | The Precise Definition of a Limit | section2_4.pdf | |
| 2.5 | Continuity | Applications of Continuity.pdf | section2_5.pdf |
| 2.6 | Limits at Infinity; Horizontal Asymptotes | section2_6.pdf | |
| 2.7 | Derivatives and Rates of Change | Applications of Derivatives.pdf | section2_7.pdf |
| 2.8 | The Derivative as a Function | section2_8.pdf | |
| 3.1 | Derivatives of Polynomials and Exponential Functions | Application: Curve Fitting.pdf | section3_1.pdf |
| 3.2 | The Product and Quotient Rules | section3_2.pdf | |
| 3.3 | Derivatives of Trigonometric Functions | Application: Small-Angle Approximation.pdf | section3_3.pdf |
| 3.4 | The Chain Rule | section3_4.pdf | |
| 3.5 | Implicit Differentiation | Application: Implicit Differentiation.pdf | section3_5.pdf |
| 3.6 | Derivatives of Logarithmic Functions | Week 6 Worksheet.pdf | section3_6.pdf |
| 3.8 | Exponential Growth and Decay | Application: Exponential Growth and Decay.pdf | section3_8.pdf |
| 3.9 | Related Rates | Week 7 Worksheet.pdf | section3_9.pdf |
| 3.10 | Linear Approximations and Differentials | section3_10.pdf | |
| 4.1 | Maximum and Minimum Values | Week 8 Worksheet.pdf | section4_1.pdf |
| 4.2 | Mean Value Theorem | section4_2.pdf | |
| 4.3 | How Derivatives Affect the Shape of a Graph | Notes and Examples: Extrema and Graphs.pdf | section4_3.pdf |
| 4.4 | Indeterminate Forms and l’Hospital’s Rule | section4_4.pdf | |
| 4.7 | Optimization Problems | Application: Optimization (part 1).pdf Application: Optimization (part 2).pdf | section4_7.pdf |
| 4.8 | Newton’s Method | Application: Newton’s Method.pdf | section4_8.pdf |
| 4.9 | Antiderivatives | Week 11 Worksheet.pdf | section4_9.pdf |
| 5.1 | Areas and Distances | Riemann Sums Interactive Tool | section5_1.pdf |
| 5.2 | The Definite Integral | Application: Definite Integrals.pdf | section5_2.pdf |
| 5.3 | The Fundamental Theorem of Calculus | Week 12 Worksheet.pdf | section5_3.pdf |
| 5.5 | The Substitution Rule | section5_5.pdf | |
| 5.4 | Indefinite Integrals and the Net Change Theorem | Week 13 Worksheet.pdf | section5_4.pdf |
| 6.1 | Areas Between Curves | section6_1.pdf | |
| 6.2 | Volumes | Week 14 Worksheet.pdf | section6_2.pdf |