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Office hours are Mondays 2:30–4:00, and Thursdays 1:30–3:00. My office is Chase Building 252; it's on a funny little half-floor, and can only be reached via the little stairs at the south end of the building.
Exams
There will be two in-class midterm exams, worth 20% and 30% of the final grade respectively, and a final exam, to be scheduled by the registrar, worth 50%.
All exams will be multiple-choice. No calculators etc. will be allowed. The Sharp EL-243SB is permitted; no other calculators, phones, etc. are allowed.
Midterm 1 will be in class, on Wed 12 Oct, and may include any material we have covered up to Section 6.5. Practice exam • solutions • actual exam (correct answers marked on grid).
Midterm 2 will be 8:00–9:30, on Wed 9 Nov, in the usual classroom, and may include any material we have covered up by Fri 4 Nov. Practice problems • actual exam (correct answers in red).
The final has been scheduled for 15:30–18:30, on Mon 19 Dec, in the Dalplex. Calculus practice problems • solutions.
Schedule
The problems listed are optional problems for practice; do as many as you find useful. Problems marked with a * are more challenging, and will definitely not appear on the exam.
If you want feedback on any work, feel free to hand it in on a Friday for grading. I and the grader will grade as much as time allows, so please indicate any parts of your work you’d like prioritised. “Due date” for problems is the Friday following their posting; older problems (and other problems besides the suggested ones) are always still welcome, but priority will be given to the most recent posted problems.
| Date | Topic(s) | Slides | Problems |
| Fri 9 Sep | 5.1 Compound interest. Nominal, effective, periodic rates. | 1-up • 4-up | 5.1: 1, 5, 7, 11, 14, 21, 24, 25, 27, 28. |
| Mon 12 | 5.2 Present and future value. Timelines, equations of value. | 1-up • 4-up | 5.2: 1, 5, 11, 13, 15, 23, *25, *26. 5.1: *29. |
| Wed 14 | 5.3 Continuous compounding. 5.4 Annuities (start). | 1-up • 4-up | 5.2: 19, 21. 5.3: 1, 3, 7, 11, 13, 15, 17, 19, *23. |
| Fri 16 | 5.4: Annuities, cont’d. | 1-up • 4-up | 5.4: 1, 5, 7, 9, 13, 15, 18, 19, 821, 23, 24, 31, 33, *37 |
| Mon 19 | 5.4: Annuities, concluded. | 1-up • 4-up | None (covered by problems from Fri 16). |
| Wed 21 | 5.5: Amortisation of loans. | 1-up • 4-up | 5.5: 1, 2, 3, 5, 9, 12, 15, 19, 21, *22 |
| Fri 23 | 5.5: Amortisation of loans, concluded. 5.6: Perpetuities | 1-up • 4-up | 5.5: 11, 13, 17. 5.6: 1, 3, 5, 6. |
| Mon 26 | 6.1: Matrices — introduction. | 1-up • 4-up | 6.1: 1, 3, 5, 11, 13, 21, 24, 27, 29, 31*. |
| Wed 28 | 6.1, 6.2: Matrix algebra — addition, scalar multiplication, transposition. | Scans | 6.1: 19, 23. 6.2: 1, 3, 5, 11, 29, 33, 35, 41, 43. |
| Fri 30 | 6.3: Matrix multiplication. | Scans | 6.3: 1, 7, 13, 19, 21, 25, 29, 33, 49, 51, 53. |
| Mon 3 Oct | 6.4: Solutions of equations by row reduction. | Scans | 6.3: 59, 61, 63, 65, 66*, 69. |
| Wed 5 | 6.4: Solutions of equations by row reduction, continued. | 1-up • 4-up • scans | 6.4: 1, 3, 5, 7, 9, 15, 23, 27, 31. 6.5: 3, 9, 13. |
| Fri 7 | 6.4 concluded. Review of material so far. | Scans | None. |
| Mon 10 | No class — Thanksgiving holiday. | ||
| Wed 12 | Midterm 1. | ||
| Fri 14 | 7.1: graphing linear inequalities. | 1-up • 4-up • step-by-step | 7.1: 1, 3, 5, 7, 11, 15, 17, 19, 23, 25, 27, 29. |
| Mon 17 | 7.2: graphically optimising a linear function, under linear constraints. | 1-up • 4-up • step-by-step | 7.2: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21*, 25*. |
| Wed 19 | 7.2 continued. Intro to the Simplex method. | 1-up • 4-up • step-by-step | None (see Mon 17.) |
| Fri 21 | 7.4. The Simplex method. | 1-up • 4-up | 7.4: all odd numbers, 10, 18. |
| Mon 24 | 7.4 continued. More examples of the Simplex method. | 1-up • 4-up | See Fri 21. |
| Wed 26 | 8.1, 8.2. Counting — permutations and combinations of distinct objects. | 1-up • 4-up | 8.1 7, 9, 15, 17, 21, 27, 33, 35, 36, 38, 41. |
| Fri 28 | 8.2. More counting — permutations and combinations of objects with repetitions. | 1-up • 4-up | 8.2 1, 4, *7, *8, 11, 17, 19, 23, 26, 33, 36, 37. |
| Mon 31 | 8.3. Foundations of probability: sample spaces and events. | 1-up • 4-up | 8.3: 1, 3, 6, 7, 11, 13, 15, 17, 23, 25, 27, 28, *31, *32. |
| Wed 2 Nov | 8.4. Probability. | 1-up • 4-up | 8.4: 7, 9, 10, 16, 19, 21, 23, 24, 25, *26, *31, 33. |
| Fri 4 Nov | 8.5. Conditional probability (introduction). | 1-up • 4-up | 8.5: 1, 7, 11, 13, 19, 21, 23. |
| Mon 7 Nov | 8.5, 8.7: Conditional probability and Bayes’ Formula. | ? | TBA |
| Wed 9 Nov | 8.5, 8.7: Empirical conditional probability. | ? | TBA. |
| Mon 14 Nov | 11.1: Limits; tangent and secant lines. | scans | 10.1: 13, 17, 21, 35, *43. 11.1: 1, 2, 23, 25. |
| Wed 16 Nov | 11.1, 11.2: The derivative: definition, first rules. | scans | 11.1: 21, 35. 11.2: 5, 9, 12, 17, 20, 29, 43, 75, 77, 85, 87. |
| Fri 18 Nov | 11.1, 11.3: Equations of tangent lines; interpretation of the derivative as rate of change, marginal cost. | scans | 11.1: 34. 11.2: 79, 83, 91. 11.3: 3, 7, 9, 12, 13, 17, 31. |
| Mon 21 Nov | 11.1, 11.3: Use of derivative for approximating small changes. Marginal cost. | scans | 11.3 *1, 3, 5, 7, 10, 13, 15, 19, 23, 25.27, 31, 45. |
| Wed 23 Nov | 11.3, 11.4. More on marginal cost; the product and quotient rules. | scans | 11.4: 1, 5, 13, 15, 17, 33, 35, 39, 43, 49, 53, 54, 57, 71, 75. |
| Fri 25 Nov | 11.5: the chain rule. | scans | 11.5: 1, 3, 5, 9, 13, 23, 24, 43, 57, 71, 79, *80, *81. |
| Mon 28 Nov | 12.1, 12.2: derivatives of logarithmic, exponential, and trig functions. | scans | 12.1: 4, 9, 13, 19, 27, 47, 49, 52. 12:2: 1, 3, 15, 43. |
| Wed 30 Nov | 13.1: absolute and local extrema; critical points. | scans | 12.2: 29, *32, 45. 13.1: 1, 2, 5, 15, 33, *39, 68, 73, 75. |
| Fri 2 Dec | 13.2: extrema on closed intervals. | scans | 13.2: 1, 3, 7, 12, 13, 14, *15. |
| Mon 5 Dec | 13.2, 13.6: extrema on closed intervals; applications. | 13.6: 1, 3, 5, 7, 9, 11, *17. | |
| Wed 7 Dec | Examples; review. |