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: | TTh 15:30-16:50 - Buchanan A102 |

Text: | Calculus: Early Transcendentals, fourth custom edition for UBC, by Briggs and Cochran |

Office Hours: | Wed 9:00-11:00 or by appointment via email |

Webworks - 10%

2 Midterms - 30% (15% each)

Final Exam - 50%

- There will be approximately 6 assignments, 5 of which will count toward the Assignments component. The worst assignment mark will be dropped.
- Assignments will be collected at the beginning of the class. Late or missed assignments will result in a mark of zero.
- Students are allowed (and encouraged) to collaborate on assignments but make sure that the work submitted is your own.

Time: | 12:00 - 14:30 Dec 6, 2014 |

Location: | Chemical and Biological Engineering Building Room 101 |

Here are some past final exams of the MATH 105 course. Note that some questions relate to materials that are no longer part of the syllabus. Next to each exam is a list of questions that you may ignore.

Exam Year | Full exam | Questions that are not relevant | Some (partial) solutions |

2008 | Questions | 1e,1i,1k,2,4,5,6 | |

2009 | Questions | 1e,1g,1k,2,3,5,6 | |

2010 | Questions | 4,5,8,9a | |

2011 | Questions | (none) | Solutions |

2012 | Questions | (none) | Solutions |

2013 | Questions | (none) | Solutions |

Here is a few more practice problems.

Time: | 15:30 - 16:20 Oct 2, 2014 |

Location: | Buchanan A102 |

Midterm 1: Questions Solutions

Time: | 15:30 - 16:20 Oct 30, 2014 |

Location: | Buchanan A102 |

Midterm 2: Questions Solutions

- Midterms are non-cumulative; the chapters that will be covered on each midterm will be announced in class. The final exam is based on the entire syllabus of the course.
- Student IDs must be presented at both midterms and the final examination.
- No unauthorized electronic devices will be allowed in the midterms or in the final exam. This includes calculators, cell phones, music players, and all communication devices. Students should not bring their own formula sheets or other memory aids. Common formula sheets may be provided to all students depending on the materials covered, in which case the contents of the formula sheet will be disclosed in class prior to the exam.
- If a student misses a midterm, that student shall provide a documented excuse or a mark of zero will be entered for that midterm. Examples of valid excuses are an illness which has been documented by a physician and Student Health Services, or an absence to play a varsity sport, in which case a letter from your coach should be provided. There will be no make-up midterms, and the weight of the missed midterm will be transferred to the final examination. To be eligible for this arrangement, you must notify the instructor within a week of the missed midterm with appropriate documentation for your absence. Please note that a student may not have 100% of their assessment based on the final examination. A student who has not completed a substantial portion of the term work normally shall not be admitted to the final examination.
- If a student misses a final examination, that student will need to present the situation to your faculty's Advising Office to be considered for a deferred exam. Your performance in the course up to the exam will be taken into consideration in granting a deferred exam status. For deferred exams in mathematics, students generally will write in the next available exam of the same course, which can be several months after the original exam.

Week 1 (Sep 9 , Sep 11) | Planes and surfaces (12.1) | Learning goals |

Graphs and level curves (12.2) | ||

Week 2 (Sep 16 , Sep 18) | Partial derivatives (12.4) | Learning goals |

Maximum/minimum problems (12.8) | ||

Week 3 (Sep 23 , Sep 25) | Maximum/minimum problems (12.8) | Learning goals |

Lagrange Multipliers (12.9) | ||

Week 4 (Sep 30 , Oct 2) | Approximating areas under curves (5.1) | Learning goals |

Definite integrals (5.2) | ||

Week 5 (Oct 7 , Oct 9) | Fundamental Theorem of Calculus (5.3) | Learning goals |

Substitution Rule (5.5) | Section 4.8 | |

Integration By Parts (7.2) | Learning goals | |

Week 6 (Oct 14 , Oct 16) | Trigonometric integrals (7.3) | |

Trigonometric Substitutions (7.4) | ||

Partial Fractions (7.5) | ||

Week 7 (Oct 21 , Oct 23) | Numerical Integration (7.7) | Learning goals |

Improper Integrals (7.8) | ||

Introduction to Differential Equations (7.9) | ||

Week 8 (Oct 28 , Oct 30) | Random Variables and Probabiity Basics (12.1 in Probability Appendix) | Learning goals |

Continuous Random Variables (12.2 in Probability Appendix) | ||

Expected Value, Variance, and Standard Deviation | ||

Week 9 (Nov 4 , Nov 6) | Sequences (8.1, 8.2) | Learning goals |

Infinite Series (8.3) | ||

Divergence Test, Integral Test (8.4) | ||

Week 10 (Nov 11 , Nov 13) | Ratio Test, Comparison Test, Limit Comparison Test (8.5) | Learning goals |

Approximating functions with polynomials (9.1) | ||

Properties of Power Series (9.2) | ||

Week 11 (Nov 18 , Nov 20) | Taylor Series (9.3) | Learning goals |

Working with Taylor Series (9.4) | ||

Week 12 (Nov 23 , Nov 25) | Review |

Section 1.2 : 11, 15, 19.

Section 1.3: 25, 39, 47.

Section 1.4: 29, 32, 37.

Section 2.2: 19.

Section 2.3: 26, 39, 55.

Section 2.4: 36.

Section 2.5: 21, 39.

Section 2.6: 11, 75.

Section 3.1: 17, 27, 45.

Section 3.2: 21, 35, 43.

Section 3.3: 10, 20, 38, 60.

Section 3.4: 19, 34, 55.

Section 3.5: 11, 31.

Section 3.6: 41, 49.

Section 3.7: 13, 21, 43.

Section 3.8: 12, 15, 45.

Section 3.9: 7, 13, 17.

Section 4.1: 15, 31, 38.

Section 4.2: 19, 31, 51, 60.

Section 4.3: 29.

Section 4.4: 11.

Section 4.5: 9.

Section 9.1: 7, 13.

Section 11.2: 4, 5, 39-50, 67-70.

Section 12.1: 1-5, 11-14, 21-34.

Section 12.2: 1-4, 7, 11-20, 29, 30-37, 38a,b,d,f.

Section 12.4: 1-4, 6, 7-10, 11-28, 29-38, 39-44, 55, 56, 64-66, 69, 70, 72, 75.

Section 12.8: 9-18, 19-34.

Section 12.8: 43-52.

Section 12.9: 5-14, 27-29, 35-38.46-49.

Section 5.1: 5-8, 17-26, 27-34, 39-42, 43-46, 53, 55-57, 59-62.

Section 5.2: 11-14, 15-20, 21-24, 25-32, 33-36, 37-40, 41-46, 47-52, 67-75.

Section 4.8: 11, 13, 15, 17, 19, 21, 25, 27, 29, 39, 41. Solutions for these problems are here.

Section 5.3: 5, 9, 11-22, 23-50, 51-60, 61-68.

Section 5.5: 13-16, 17-32, 33-38, 39-52, 53-60, 62-78, 106-111.

Section 7.1: 7-14, 15-22, 23-28, 29-32, 33-36.

Section 7.2: 7-22, 23-30, 31-38, 44-47, 52-53.

Integral exercises Solutions

Section 7.3: 9-14, 15-24, 25-30, 31-44, 50-57, 58-61.

Section 7.4: 7-16, 17-46, 47-56, 58-65.

Section 7.5: 5-12, 13-26, 27-37, 63-74, 76-81.

Section 7.7: 7-10, 11-14, 15-18, 19-26.

Section 7.8: 5-28, 35-50.

Section 7.9: 9-12, 13-16, 17-20, 21-24, 25-28, 31-34, 35-40, 56-59.

Probability Appendix: 12.1 Practice Problems 1-2, Exercises 1-2.

12.2 Practice Problems 1-2, Exercises 1-6, 7-12, 13-38.

Section 8.1: 9-16, 17-22, 23-30, 31-40.

Section 8.2: 9-34, 35-44, 45-52, 53-58, 63-68, 78-85.

Section 8.3: 7-18, 19-33, 35-40, 55-68, 70-73.

Section 8.4: 9-18, 19-28, 29-34, 43-50, 52-57.

Section 8.5: 9-18, 19-26, 27-38, 40-69.

Section 8.6: 11-28, 45-56.

Section 9.1: 7-14, 15-22. 23-28, 29-38 (just part a), 39-46 (just part a).

Section 9.2: 9-28, 29-34, 35-40, 41-46, 47-52, 62-67.

Section 9.3: 9-17, 21-28, 29-36, 70-73.

Section 9.4: 7-24, 25-32, 45-50, 55-64.

- UBC takes cheating incidents very seriously. After due investigation, students found guilty of cheating on tests and examinations are usually given a final grade of 0 in the course and suspended from UBC for one year.
- Note that academic misconduct includes misrepresentating a medical excuse or other personal situation for the purposes of postponing an examination or otherwise obtaining an academic concession.