| Lecture | Date | Section | Topic | Homework |
|---|---|---|---|---|
| 1 | 8/26 | 1.1 | Functions | 1.1# 14-17 (use Desmos) and 52 - 55 |
| 2 | 8/28 | 1.2 | Linear Functions | 1.2# 60, 68, 74, 81, 104, 108 |
| 3 | 8/30 | 1.2 | Polynomial and Algebraic Functions | 1.2# 83, 84, 85, 87 |
| 4 | 9/02 | 1.2 | Transformations of Functions | 1.1# 47, 48 and 1.2# 88, 92, 93, 94 |
| 5 | 9/04 | 1.3 | Trigonometry Review | 1.3# 114, 120, 123-126, 132, 136, 155 |
| 6 | 9/06 | 1.3 | Important Trig Identities | 1.3# 139, 140, 146, 156, 158, 160 |
| 7 | 9/09 | 2.1 | Preview of Calculus | 2.1# 1-3, 20, 21 |
| 8 | 9/11 | 2.2 | Limits of Functions | 2.2# 32, 34, 46, 48, 76, 78 |
| 9 | 9/13 | 2.3 | Calculating Limits | 2.3# 89, 91, 94, 96, 98, 103-106 |
| 10 | 9/16 | 3.1 | Defining Derivatives | 3.1# 6, 7, 12, 15, 24 |
| 11 | 9/18 | 3.2 | The Derivative Function | 3.2# 66, 80, 97 |
| 12 | 9/20 | 3.3 | Differentiation Rules | 3.3# 106, 110, 112, 114, 115, 121, 148 |
| 13 | 9/23 | 3.3 | Product and Quotient Rules | 3.3# 117, 128, 131, 146 |
| 14 | 9/25 | 3.4 | Derivatives as Rates of Change | 3.4# 151, 152, 154 |
| 15 | 9/27 | Midterm 1 | ||
| 16 | 9/30 | 3.5 | Derivatives of Sine and Cosine | 3.5# 175, 179, 180, 181, 198, 209 |
| 17 | 10/02 | 3.6 | Chain Rule | 3.6# 216, 222, 227, 228 |
| 18 | 10/04 | 3.6 | Chain Rule - con’d | 3.6# 232, 234, 237, 238, 242, 257 |
| 19 | 10/09 | 3.8 | Implicit Differentiation | 3.8# 302, 304, 305, 312, 318, 319 |
| 20 | 10/11 | 4.1 | Related Rates | 4.1# 1, 3, 4, 7, 20 |
| 21 | 10/14 | 4.1 | Related Rates - con’d | 4.1# 10, 35, 38 |
| 22 | 10/16 | 4.2 | Linear Approximation | 4.2# 50, 56, 57, 67, 69, 72, 74 |
| 23 | 10/18 | 4.2 | Differentials | 4.2# 78, 84, 86 |
| 24 | 10/21 | 4.3 | Maxima and Minima | 4.3# 108, 109, 117, 123 |
| 25 | 10/23 | Midterm 2 | ||
| 26 | 10/25 | 4.4 | Mean Value Theorem | 4.5# 206, 207, 221 |
| 27 | 10/28 | 4.5 | First Derivative Test | These problems: Finding local max/min |
| 28 | 10/30 | 4.5 | Concavity & the Second Derivative Test | 4.5# 225, 226, 232, 233 |
| 29 | 11/01 | 4.6 | Limits at Infinity | 4.6# 261, 262, 264, 267, 270, 277, 279 |
| 30 | 11/04 | 4.6 | Curve Sketching | 4.6# 295, 296 (hint: for 296) |
| 31 | 11/06 | 4.7 | Optimization | 4.7# 316, 347, 354, 355 |
| 32 | 11/08 | 4.8 | L’Hospital’s Rule | 4.8# 361, 367, 369, 370, 372, 384, 389 |
| 33 | 11/11 | How to Use Sage | Use SageCell to do the Introduction to Sage problems | |
| 34 | 11/13 | 4.9 | Newton’s Method | 4.9# 407, 426, 429, 431 |
| 35 | 11/15 | 4.10 | Antiderivatives | 4.10# 474, 476, 479, 481, 484, 500, 509, 510 |
| 36 | 11/18 | 5.1 | Approximating Area | 5.1# 12 24, 28, 32 (Only give the sum formula for #24) |
| 37 | 11/20 | 5.2 | Definite Integrals | 5.2# 72, 78 |
| 38 | 11/22 | 5.2 | Definite Integrals - con’d | |
| 39 | 11/25 | Midterm 3 | ||
| 40 | 12/02 | 5.3, 5.4 | Evaluating Definite Integrals | 5.3# 170, 172, 178, 180, 185, 190, 192; 5.4# 223, 226 |
| 41 | 12/04 | 5.5 | Integration by Substitution | 5.5# 262, 263, 272 |
| 42 | 12/06 | 5.5 | Integration by Substitution - con’d |
Final Exam: Thursday, December 12, 2:00-5:00pm