Scheduled topics are provisional until covered. All homework assignments are from Stewart “Essential Calculus: Early Transcendentals“. Homeworks assinged on Monday and Tuesday are due in Friday's recitation. Homeworks assigned on Thursday and Friday are due in Tuesday's recitation.
| Day | Topics | Homeworks |
|---|---|---|
| May 9th | Introduction to functions (1.1-2) | Sect. 1.1: 2, 19, 23, 60, 61 Sect 1.2: 2, 35, 39, 48, 52. |
| May 10th | Introduction to limits (1.3) | Sect. 1.3: 3, 6, 8, 12. |
| May 12th | Calculating limits (1.4), limits involving infinity (1.6) | Sect. 1.4: 1, 9, 12, 18, 43 Sect 1.6: 2, 13, 23, 25, 26. |
| May 13th | Continuity (1.5) | Sect. 1.5: 4, 5, 9, 28, 38. |
| May 16th | Introduction to derivatives (2.1-3) | Sect. 2.1: 4, 5, 15, 47 Sect. 2.2: 3, 17, 20, 33 Sect. 2.3: 17, 22, 31, 36, 43 |
| May 17th | Product and quotient rules | Sect. 2.4: 5, 7, 17, 33, 42 |
| May 19th | Chain rule (2.5) and implicit differentiation (2.6) | Sect. 2.5: 10, 21, 36, 37, 51 (due 5/24) Sect. 2.6: 3, 7, 8, 19, 25 (due 5/24) |
| May 20th | Related rates (2.7) | Sect. 2.7: 1, 10, 13, 15, 17 (due 5/24) |
| May 23rd | Introduction to exponential and logarithmic functions (3.1-4) | Sect. 3.1: 15, 24, 26 (due 5/27) Sect. 3.2: 48, 53, 61, 63, 64 (due 5/27) Sect. 3.3: 1, 33, 35, 36, 47 (due 5/27) Sect. 3.4: 2, 3 (due 5/27) |
| May 24th | Inverse trigonometric and hyperbolic functions (3.5-6) | Sect. 3.5: 6b, 19, 20, 25, 26 (due 5/27) Sect. 3.6: 11, 28, 31, 32, 25 (due 5/27) |
| May 26th | l'Hospital's Rule (3.7) | Sect. 3.7: 10, 11, 21, 23, 32, bonus: 39, 40 (due 6/3) |
May 27th | Maximum and minimum values (4.1) | Sect. 4.1: 8, 14, 25, 35, 36 (due 6/3) | May 30th | Memorial day: no class | May 31st | Mid-term exam | June 2nd | Mean Value Theorem (4.2) | Bonus problems Sect 4.2: 6, 16, 22a, 25, 26 (due 6/7) | June 3rd | Curve sketching (4.3-4) | Sect 4.4: 2, 3, 11, 12, 15, 35, 38, 42 (due 6/7) | June 6th | Introduction to integration (4.7, 5.1-3) | Sect 4.7: 7, 8, 9, 13, 16, 18 (due 6/10) Sect 5.1: 1 (due 6/10) Sect 5.2: 5, 15, 16, 17 (due 6/10) Sect 5.3: 7, 8, 10, 14, 25 (due 6/10) |
June 7th | Optimization and Newton's method (4.5-6) | Sect. 4.5: 9, 10, 11, 13 (due 6/10) Sect. 4.6: 5, 9, 10 (due 6/10) |
June 9th | The fundamental theorem of calculus (5.4) | Sect. 5.4: 5, 8, 9, 11, 13 (due 6/14) | June 10th | Techniques of integration (5.5, 6.1, 6.2) | Sect. 5.5: 8, 10, 11, 18, 20, 29, 31, 41 (due 6/14) Sect. 6.1: 4, 10, 13, 23, 25 (due 6/14) |
June 13th | Review | June 14th | Review | June 16th | Final exam! |
Updated by Chris Kapulkin, June 4th, 2011.