| Week | Class | Problems | Pictures | Notes |
|---|---|---|---|---|
| Sep 1 |
1. Course introduction |
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2. Functions |
Homework 1 & Solutions | · | ||
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3. Sketching functions |
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| Sep 8 |
4. Tutorial: Sketching functions |
Tutorial Problems | · | |
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5. Finding limits by looking |
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6. Limit axioms and theorems |
Homework 2 & Solutions | · | ||
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7. Limits at infinity |
Homework 3 & Solutions | · | ||
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8. Tutorial: Finding limits |
Tutorial Problems | · | ||
| Sep 15 | 9. Tutorial: Finding limits |
See above. | ||
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10. Continuity; Intermediate Value Theorem |
· | |||
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11. Removable discontinuities & Tutorial |
Homework 4 & Solutions | · | ||
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12. Trigonometric Functions |
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13. Limits of Trigonometric Functions |
Homework 5 & Solutions | · | ||
| Sep 22 | 14. Derivation of trig limit theorems |
· | ||
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15. Tutorial: Trig limits |
See above. | · | ||
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16. The Derivative: Sketching and Definition |
Homework 6 & Solutions 1 and 2 | · | ||
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17. Differentiation Theorems |
· | |||
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18. Product and Quotient Rules |
Homework 7 & Solutions | · | ||
| Sep 29 | 19. Tutorial |
Tutorial Problems | · | |
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20. Existence of the Derivative; Average vs Instantaneous Rate of Change |
Homework 8 & Solutions | · | ||
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21. Derivatives of Trig Functions; The Chain Rule |
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22. Tutorial |
Tutorial Problems | · | ||
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23. Tutorial |
See above. | — | ||
| Oct 6 | 24. Implicit Differentiation |
· | ||
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25. Implicit differentiation and tutorial |
Homework 11 & Solutions | · | ||
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26. Related Rates + Tutorial |
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27. Tutorial: Implicit Diff'n and Related Rates |
Homework 12 & Solutions | · | ||
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28. Newton's Method (see links to online notes at far right) |
Homework 13 & Solutions | — | 1 , 2 | |
| Oct 13 |
29. Newton's Method |
· | ||
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30. Curve Sketching |
Homework 14 & Solutions | · | ||
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31. Curve Sketching: Example + Tutorial |
Tutorial Problems | · | ||
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32. Tutorial: Curve Sketching |
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| Oct 20 | 33. Tutorial: Curve Sketching |
· | ||
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34. Optimization |
Homework 15 & Solutions | · | 1, 2, 3, 4, 5, 6, 7. | |
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35. Optimization |
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36. Tutorial: Optimization |
Tutorial Problems | · | ||
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37. Midterm preparation |
2013 Midterm Solutions | — | ||
| Oct 27 | 38. M I D T E R M ! |
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39. Take up midterm |
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40. Integration and the area problem |
Homework 16 & Solutions | · | ||
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41. Tutorial |
Tutorial Problems | · | ||
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42. Tutorial |
See above. | — | ||
| Nov 3 | 43. Integration by Substitution |
Homework 17 & Solutions | · | |
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44. Tutorial |
Tutorial Problems | — | ||
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45. Tutorial |
See above. | — | ||
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46. Towards the 1st Fundamental Theorem |
Homework 18 & Solutions | · | ||
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47. The 1st Fundamental Theorem of Calculus |
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| Nov 10 | 48. Calculating definite integrals |
Homework 19 & Solutions | · | |
|
Remembrance Day |
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49. Tutorial |
Tutorial Problems | — | ||
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50. Area between curves |
Homework 20 & Solutions | · | ||
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51. Tutorial |
Tutorial Problems | · | ||
| Nov 17 | 52. Tutorial |
See above. | · | |
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53. Volumes of Solids: Slicing |
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54. Volumes of Solids: Slicing (continued) |
Homework 21 & Solutions | · | ||
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55. Tutorial |
Tutorial Problems | · | ||
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56. Volumes using Cylindrical Shells |
Homework 22 & Solutions | · | ||
| Nov 24 | 57. Tutorial |
· | ||
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58. Arc length of a curve |
Homework 23 & Solutions | · | ||
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59. Tutorial |
· | |||
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60. Area of a surface of revolution |
Homework 24
& Solutions; Tutorial Problems |
· | ||
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61. Work |
Homework 25 & Solutions | · | ||
| Dec 1 | 62. Tutorial |
See Homework 25 above. | — | |
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63. Quiz and Course Evaluation |
Examinable Topics | · | ||
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64. Tutorial |
Exam Preparation |
— | ||
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65. Exam Preparation |
Exam Preparation | — | ||
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66. Exam Preparation |
Answers to 2013 Final Exam | — |