| Instructor: | Athena Nguyen |
| Email: | athena (at) math (dot) ubc (dot) ca |
| Web Page: |
http://www.math.ubc.ca/~athena/index.html |
| Office: | Auditorium Annex 126 |
| Lectures: | MThF 13:00-15:00 - Buchanan A102 |
| W 13:00-14:00 - Buchanan A102 |
| Text: | Calculus: Early Transcendentals, second custom edition for UBC, by Briggs and Cochran |
| Office Hours: | Thursday: 9:00- 11:00 in LSK 100D |
| or by appointment by email |
| |
| Teaching assistant: | Kenneth Ng |
| Email: | yuxuanken (at) gmail (dot) com |
| Office Hours: | Monday, Wednesday: 11:00- 12:00 in LSK 100 |
| or by appointment by email |
| Week 1 (Jun 18 - Jun 22) | Planes and surfaces (12.1) |
| Graphs and level curves (12.2) |
| Partial derivatives (12.4) |
| Maximum/minimum problems (12.8) |
| Week 2 (Jun 25 - Jun 29) | Lagrange Multipliers (12.9) |
| Approximating areas under curves (5.1) |
| Definite integrals (5.2) |
| Week 3 (Jul 2 - Jul 6) | Fundamental Theorem of Calculus (5.3) |
| Substitution Rule (5.5) |
| Integration By Parts (7.1) |
| Trigonometric integrals (7.2) |
| Trigonometric substitutions (7.3) |
| Partial Fractions (7.4) |
| Week 4 (Jul 9 - Jul 13) | Numerical Integration (7.6) |
| Improper Integrals (7.7) |
| Introduction to Differential equations (7.8) |
| Probability |
| Week 5 (Jul 16 - Jul 20) | Sequences (8.1, 8.2) |
| Infinite Series (8.3) |
| Divergence Test, Integral Test (8.4) |
| Ratio Test, Comparison Test, Limit Comparison Test (8.5) |
| Approximating functions with polynomials (9.1) |
| Week 6 (Jul 23 - Jul 27) | Properties of power series (9.2) |
| Taylor Series (9.3, 9.4) |
| Week 1 (Jun 18 - Jun 22) | Section 12.1: 2-4, 11-14, 23-24, 25-28. |
| Section 12.2: 1-4, 7, 11-18, 28-33, 36, 38(b) (c), 49. |
| Section 12.4: 1-30, 56-73. For problems 72 and 73, show differentiability using Theorem 12.5. |
| Section 12.8: 15-28, 29-36. |
| Week 2 (Jun 25 - Jun 29) | Section 12.8: 37-44, 49-52, 62. |
| Section 12.9: 1, 2, 4, 5-10, 20, 21, 38-41, 45-47. |
| Section 5.1: 3-8, 17-26, 31-33, 34(i), 49-56. |
| Section 5.2: 19-50, 66-69. |
| Week 3 (Jul 2 - Jul 6) | Section 5.3: 12, 17, 18, 19, 22, 25, 30, 32, 37, 39, 51-57. |
| Section 5.5: 35, 36, 37, 40. |
| Section 7.1: 7-28, 29, 32, 33. |
| Section 7.2: 9-32, 40-49. |
| Section 7.3: 7-46, 48-55. |
| Section 7.4: 5-18, 49, 51-53, 57, 58, 60-62. |
| Integration Exercises |
| Week 4 (Jul 9 - Jul 13) | Section 7.6: 7-10, 35-38, 44-47. |
| Section 7.7: 5-20, 27-36. |
| Section 7.8: 9-20, 23-32, 53-59. |
| Probability Exercises |
| Week 4 (Jul 16 - Jul 20) | Section 8.1: 6-16, 23--30, 47--58, 60--67. |
| Section 8.2: 1--4, 9--26, 35-42, 63, 67, 69. |
| Section 8.3: 7-46, 59. |
| Section 8.4: 9-30, 44-49. |
| Section 8.5: 9-18, 19-26, 27-38, 40-42, 45,47-49,52-53, 70-75. |
| Section 9.1: 1--46, 53--64. |
| Week 4 (Jul 23- Jul 27) | Section 9.2: 1--44, 46--49, 52--57. |
| Section 9.3: 9--28. |
| Section 9.4: 21--26. |