Section 107

Fall Term 2019

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 2024): by appointment or
Time Location Zoom Meeting ID Zoom Password T 9:30-10:00 ORCH 3009 N/A N/A Th 9:30-11:00 ORCH 3009 and on Zoom 694 6667 3745 914585 F 11:45-13:00 at PIMS and on Zoom 676 1308 4912 139267

This is the page for information specific to section 107. See the course-wide website for details on assessment, homework, textbooks, course policies, and the like.

- Classes: TTh 9:30-11:00, Buchanan A103.
- For pre-class reading and after-class practice (offline homework) download the CLP textbook and problem book.
- See the Lecture-by-lecture schedule for pre-class reading information, worksheets and more.
- There are two kinds of homework:
- On-line homework (WeBWorK), which you can access through the Canvas page of the course;
- Off-line homework (not for submission), consisting of the representative problem sets in the CLP Problem Book. Doing as many practice problems as possible is essential for success in the course.

- 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.
- UBC's Math Exam Resources has some solutions to problems from past final exams with the problem sorted by topic.

- The final exam will be held on Friday, December 13th between 15:30-18:00.
- See the main course page on instructions, including regarding the location and the assigned seat scheme we are using.
- You should practice doing past final exams (exams from MATH 102,104 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 or two such
exams (especially the practice final if available)
*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 solution to past exams in general, but some solutions (and hints!) are available on the Math Exam Resources Wiki. Also, the Undergraduate Math Society sells solutions to some past exams.

- There will be a midterm exam in-class on Thursady, October 17th. A practice midterm is available.

Ahead of each class you **must** read the relevant section from a
textbook of your choice. The "reference" section numbers for the
CLP Calculus book; for
section numbers in other textbooks see the coordination table.

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

Week | Date | Material | Reading | In-class | Notes |
---|---|---|---|---|---|

1 | Th 5/9 | Introduction Tangents & Velocity Problems Limits |
§§1.1-1.2 §1.3 |
Slides, WS 1, Soln, Scan | |

T 10/9 | Limit laws | §1.4 | WS 2, Soln, Scan | Note on Limits | |

2 | Th 12/9 | Limits at infinity Continuity |
§1.5 §1.6 |
WS 3, Soln, Scan | |

T 17/9 | (continued) The Derivative I |
§1.6 §§2.1-2.2 |
WS 4, Soln, Scan | ||

3 | Th 19/9 | The Derivative II Product and Quotient Rules |
§2.3 §2.4 |
WS 5, Soln, Scan | |

T 24/9 | Derivatives of Polynomials and Exponentials | §§2.6-7 | WS 6, Soln, Scan | ||

4 | Th 26/9 | Trig Functions The Chain Rule |
§2.8 §2.9 |
WS 7 Soln, Scan | |

T 1/10 | (continued) Inverse functions |
§0.6 |
WS 8, Soln, Scan | ||

5 | Th 3/10 | Logarithms | §2.10 | WS 9, Soln, Scan | |

T 8/10 | Implicit Differentiation Inverse Trig |
§2.11 §2.12 |
WS 10, Soln, Scan | ||

6 | Th 10/10 | Applications | §3.1 | WS 11, Soln, Scan | |

T 15/10 | Exponential growth and decay | §3.3 | WS 12, Soln, Scan | Law of cooling problem | |

7 | Th 17/10 | Related Rates | §3.2 | WS 13, Soln, | |

Midterm exam | |||||

T 22/10 | Taylor Polynomials 1 | §3.4 | WS 14, Soln, Scan | Extra notes §1 | |

8 | Th 24/10 | Taylor Polynomials 2 | §3.4 | WS 15, Soln, Scan | Extra notes §2 Some Taylor expansions |

T 29/10 | Minima and Maxima | §3.5 | WS 16, Soln, Scan | ||

9 | Th 10/31 | MVT | §2.13 | WS 17, Soln, Scan | Proving an Inequality |

T 5/11 | (continued) Shape of the graph |
§3.6 | WS 18, Soln, Scan | ||

10 | Th 7/11 | Curve Sketching | §3.6 | Problems, Scan | sketching notes |

T 12/11 | Review | Scan | |||

11 | Th 14/11 | Optimization | §3.5 | WS 21, Soln, Scan | Snell's Law |

T 19/11 | l'Hôpital's rule | §3.7 | WS 22, Soln, Scan | More l'Hôpital examples | |

12 | Th 21/11 | Antiderivatives | §4.1 | WS 23, Soln, Scan | |

T 26/11 | Review | Scan | |||

13 | Th 28/11 | Review | |||

13/12 | Final Exam: 3:30pm at the HEBB 100 |

Back to my homepage.

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.