Section 102

Fall Term 2015

Lior Silberman
- Office: MATX 1112, 604-827-3031
- Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)
- Office hours (Winter 2022): by appointment or
Time Location Zoom Meeting ID Zoom Password MF 11:30-12:30 My office and Zoom 691 7826 7667 761818 Wed 21:30-22:30 Zoom only 682 2985 1665 155350

This is the page for information specific to section 102. See the course-wide website for details on assessment, textbooks, course policies and the like.

- Classes: TTh 8:00-9:30, MATH 100
- See the Lecture-by-lecture schedule for pre-class reading information, worksheets and more.
- There are two kinds of homework:
- on-line homework assignments will open every Thursday morning, and be due Friday night 8 days later.
- off-line homework (PDF) is not for submission, but doing as many problems as possible is essentially for success in this course (addendum:
**I do not recommend you buy Stewart's calculus book**, but if you acquire a copy of the 7th edition (used, say) then here are the suggested problems that were used last year).

- Remark on Quiz1: version 1.5 on this quiz had a different problem 3 than the one used by other sections – here is the solution.

- The Math Learning Centre is open Monday through Friday.
- Here are some Common Errors in Undergraduate Mathematics. Avoiding these common pitfalls will improve your grade measurably.
- For your amusement you may wish to consult the very first calculus textbook, Analyse des infiniments petits by l'Hôpital (published in 1696). While on the UBC network you can freely download an annotated English translation from SpringerLink.

- The final exam will be held on Wednesday, December 16th between 8:30-11:00 In the SRC.
- You should practice doing past final exams (exams from Math 102,104+184 and 110 are also useful).
- The topics covered in our course are not identical year-to-year, so past exams include problems on topics we haven't covered, and may not include problems on topics we have covered.
- After some revising, it is essential to do at least one such exam
*under exam conditions*: reserve 2.5 hours and work on the exam in a quiet room without using prohibited resources (notes/textbooks/calculators/friends/internet) - We don't post official solutions to exams. That said, some solutions (and hints!) are available on the Math Exam Resources Wiki. Also, the Undergraduate Math Club sells solutions to some past exams.

- I will hold special office hours ahead of the exam: Dec 10, 14:00-15:30, Dec 11, 10:00-12:00, Dec 14, 12:00-14:00, and Dec 15, 13:00-15:00.

"Reading" section references are to the course notes. To see the corresponding section numbers in other texts see the coordination table.

*Warning: the following information is tentative and subject to change at any time.*

Week | Date | Material | Reading | Worksheet | Notes | Quiz |
---|---|---|---|---|---|---|

1 | Th 10/9 | Introduction Tangents & Velocity Problems Limits |
§§1.1-1.2 §1.3 |
WS 1, Soln, Scan | ||

T 15/9 | Limit laws | §1.4 | WS 2, Scan | Note on Limits | ||

2 | Th 17/9 | Continuity | §1.6 | WS 3, Scan | Quiz 1 | |

T 22/9 | Horizontal Asymptotes The Derivative I |
§1.5 §§2.1-2.2 |
WS 4, Scan | |||

3 | Th 24/9 | The Derivative II Product and Quotient Rules |
§2.3 §2.4 |
WS 5, Scan | ||

T 29/9 | Derivatives of Polynomials and Exponentials | §2.6 §2.7 |
WS 6, Scan | |||

4 | Th 1/10 | Trig Functions The Chain Rule |
§2.8 §2.9 |
WS 7 | Quiz 2 | |

T 6/10 | (continued) Inverse functions |
§0.6 |
WS 8, Soln, Scan | |||

5 | Th 8/10 | Implicit Differentiation Inverse Trig |
§2.11 §2.12 |
WS 9, Soln, Scan | ||

T 13/10 | Logarithms | §2.10 | WS 10, Soln, Scan | |||

6 | Th 15/10 | Logarithmic Differentiation Applications |
§2.10 §3.1 |
WS 11, Soln, Scan | CLASS | Quiz 3 |

T 20/10 | Exponentials | §3.3 | WS 12, Soln, Scan | Law of cooling problem | ||

7 | Th 22/10 | Related Rates Linear Approximation |
§3.2 §3.4 |
WS 13, Soln, Scan | ||

T 27/10 | Taylor Polynomials 1 | §3.4 | WS 14, Soln, Scan | Extra notes §1 | ||

8 | Th 29/10 | Taylor Polynomials 2 | §3.4 | WS 15, Soln, Scan | Extra notes §2 Some Taylor expansions |
Quiz 4 |

T 3/11 | Minima and Maxima | §3.5 | WS 16, Soln, Scan | |||

9 | Th 5/11 | MVT | §2.13 | WS 17, Soln, Scan | Proving an Inequality | |

T 10/11 | (continued) Shape of the graph |
§3.6 | WS 18, Scan | For solutions see WS 17 above | ||

10 | Th 12/11 | Curve Sketching | §3.6 | sketching notes, Scan | Quiz 5 | |

T 17/11 | (continued) | §3.6 | Problems, Scan | |||

11 | Th 19/11 | Optimization | §3.5 | WS 21, Soln, Scan | Snell's Law | |

T 24/11 | l'Hôpital's rule | §3.7 | WS 22, Soln, Scan | More l'Hôpital examples | ||

12 | Th 26/11 | Antiderivatives | §4.1 | WS 23, Soln, Scan | Quiz 6 | |

T 1/12 | (continued) | (same) | (same WS), Scan | |||

13 | Th 3/12 | Review | ||||

W 16/12 | Final Exam: 8:30am at the SRC |

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Clarification: the writings on
these pages are generally my own creations (to which I own the copyright),
and are made available for traditional academic reuse. If you wish
to republish substantial portions (including in "derivative works")
please ask me for permission.
The material is **expressly excluded** from the terms of
UBC Policy 81.