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| Session | Date | Calculus I | WeBWorK Exercises |
|---|---|---|---|
| 1 | 2.2 The Limit of a Function (pages 135 – 153) | Limits - Introduction Limits - One-Sided Limits - Analytic Limits - Infinite |
|
| 2 | 2.3 The Limit Laws (pages 160 – 174) | Limits - Limit Properties | |
| 3 | 2.4 Continuity (pages 179 – 188) | Limits - Continuity | |
| 4 | 3.1 Defining the Derivative (pages 213 – 227) | Derivatives - Limit Definition | |
| 5 | 3.2 The Derivative as a Function (pages 232 – 242) | Derivatives - Function | |
| 6 | 3.3 Differentiation Rules (pages 247 – 260) | Derivatives - Power Rule Derivatives - Product Rule Derivatives - Quotient Rule |
|
| 7 | 3.4 Derivatives as Rates of Change (pages 266 – 270) | Derivatives - Rates of Change | |
| 8 | First Examination | ||
| 9 | 3.5 Derivatives of Trigonometric Functions (pages 277 – 284) | Derivatives - Trigonometric | |
| 10 | 3.6 The Chain Rule (pages 287 – 296) | Derivatives - Chain Rule Derivatives - Mixed Rules |
|
| 11 | 3.7 Derivatives of Inverse Functions (pages 299 – 305) | Derivatives - Inverses | |
| 12 | 3.8 Implicit Differentiation (pages 309 – 316) | Derivatives - Implicit | |
| 13 | 3.9 Derivatives of Exponential and Logarithmic Functions (pages 319 – 330) | Derivatives - Exponential and Logarithmic | |
| 14 | 4.1 Related Rates (pages 341 – 349) | Application - Related Rates | |
| 15 | Midterm Examination | ||
| 16 | 4.2 Linear Approximations and Differentials (pages 354 – 363) | Application - Linearization Application - Differentials |
|
| 17 | 4.3 Maxima and Minima (pages 366-375) | Application - Extrema | |
| 18 | 4.4 The Mean Value Theorem (pages 379-387) | Application - Mean Value Theorem | |
| 19 | 4.5 Derivatives and the Shape of a Graph (pages 390- 402) | Application - Monotonicity Application - Shape of Polynomials |
|
| 20 | 4.6 Limits at Infinity and Asymptotes (pages 407- 425) | Application - Asymptotes | |
| 21 | 4.6 (continued) Drawing the Graph of a Function (pages 425-435) | Application - Shape of Graphs | |
| 22 | 4.7 Applied Optimization (pages 439-450) | Application - Optimization | |
| 23 | 4.8 L’Hôpital’s Rule (pages 454-464) | Application - L’Hôpital | |
| 24 | Third Examination | ||
| 25 | 4.10 Antiderivatives (pages 485-496) | Application - Antiderivatives | |
| 26 | 5.1 Approximating Areas (pages 507-522) | Integration - Riemann Sums | |
| 27 | 5.2 The Definite Integral (pages 529-543) | Integration - Definite | |
| 28 | 5.3 The Fundamental Theorem of Calculus (pages 549-559) | Integration - Fundamental Theorem | |
| 29 | Review | ||
| 30 | Final Examination |
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