# Course Outline for Math 105 Section 204 (January- April, 2013)

Office: LSK 126C

Office hours location: LSK 303C     (LOCATION CHANGED)

Office Hours: 1:00-2:00 pm on Monday and Wednesday.

Textbook: The required textbook for this course is Calculus: Early Transcendentals, Volume 2. Third custom edition for UBC, by Briggs and Cochran. The textbook is available at the UBC Bookstore. ISBN 10 digit: 1256805777. ISBN 13 digit: 9781256805779. This book is available at the UBC Bookstore.

1 Final Exam 50%

2 Two midterms, common for all sections: 17% + 17% = 34%

• midterm 1: Thursday, Jan. 31, 6:30pm - 7:20pm. ROOM: WOOD 4
• midterm 2: Thursday, Mar. 14, 6:30pm - 7:20pm. ROOM: WOOD 4

4 Quizzes 6%

• Jan. 9, Jan. 23, Feb. 13, Mar. 6, Mar. 27

Please note that grades may be scaled to ensure fairness across sections.

#### Solutions to midterms, quizzes

From common course webpage:

Quizzes in this section:

### Practice problems

This section contains a list of problems from the textbook and will be updated weekly. These are not to be turned in, but working through them will help crystallize the concepts covered in class. Not all parts of a textbook section will be emphasized equally in lectures, and these problems serve as guidelines for identifying the important and relevant parts that constitute the course syllabus. Exam questions will be largely modelled on these problems.
• Week 1:
• Section 12.1: 1, 3, 5, 11, 13, 23, 25, 27.
• Section 12.2: 1, 3, 7, 11, 13, 15, 17, 29, 31, 33, 36, 38(b), (c), 49, 61
• Week 2:
• Section 12.4: 1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 27, 55, 59, 61, 63, 65, 67.
• Section 12.8: 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33.
• Week 3:
• Section 12.8: 37, 39, 44, 53.
• Section 12.9: 5, 7, 9, 19, 21, 27, 29, 39, 41, 45, 47.
• Week 4:
• Section 5.1: 5, 7, 17, 19, 21, 23, 25, 27, 31, 33, 49, 51, 53, 55, 56, 57.
• Section 5.2: 3, 5, 9, 19, 20, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 49, 67, 69.
• Week 5:
• Section 4.8: 11, 13, 15, 17, 19, 21, 25, 27, 29, 39, 41.
• Section 5.3: 5, 9, 11, 17, 19, 21, 23, 25, 31, 33, 35, 39, 51, 53, 55, 57, 63, 73, 87, 89.
• Week 6:
• Section 5.5: 3, 5, 11, 13, 15, 19, 23, 27, 29, 31, 35, 37, 39, 45, 49, 51, 53, 57, 63, 77.
• Section 7.1: 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 33, 35.
• Section 7.2: 11, 13, 15, 19, 21, 25, 29, 41, 43, 47, 49.
• Week 7:
• Section 7.3: 7, 9, 15, 19, 21, 23, 25, 29, 31, 41, 49, 53, 55.
• Section 7.4: 1, 3, 11, 13, 15,19, 21, 27, 49, 51, 53, 57, 58, 61, 63.
• Week 8:
• Section 7.6: 7, 9, 11, 13, 15, 17, 35, 37, 45, 47.
• Section 7.7: 5, 7, 11, 13, 15, 19, 27, 29, 31, 35.
• Section 7.8: 9, 11, 17, 19, 21, 23, 25, 31, 55, 57, 59.
• Week 9:
• Probability Appendix 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 .
• Week 11:
• Section 8.1: 3, 7, 9, 11, 13, 15, 17, 21, 23, 25, 47, 58, 61, 63, 65, 67.
• Section 8.2: 3, 5, 9, 11, 13, 23, 35, 37, 39, 63, 67, 69.
• Section 8.3: 7, 9, 11, 13, 17, 19, 21, 23, 25, 29, 31, 33, 35, 37, 39, 41, 43, 47, 49, 51, 53, 59
• Section 8.4: 3, 5, 9, 11, 13, 15, 19, 23, 25, 27, 29, 31, 32, 33, 34, 45, 47, 49.
• Week 12:
• Section 8.5: 9, 11, 13, 15, 17, 19, 20, 24, 25, 27, 29, 31, 33, 35, 37.
• Section 9.1: 41, 43, 45, 53, 55, 57, 59, 61, 62.
• Section 9.2: 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 53, 55, 57.
• Week 13:
• Section 9.3: 9, 11, 15, 19, 21, 23, 25, 27.
• Section 9.4: 21, 22, 23, 24, 25, 26.

### Exam Dates and Policies

• THE FINAL EXAM for this course will be common to all sections of MATH 105. The exam will take place in April at a date to be announced. Please do not make end-of-term travel plans before this date has been released. The final examination is board marked (i.e. all instructors teaching this course mark the exams together) to ensure consistency and fairness across sections.
• THE MIDTERM EXAMS for this course will be common to all sections of MATH 105. There will be two midterms in MATH 105. The midterm examinations are board marked (i.e. all instructors teaching this course mark the exams together) to ensure consistency and fairness across sections. The duration of each midterm will be 50 minutes. The dates are:
• Midterm 1: Thursday, January 31, 6:30pm-7:20pm
• Midterm 2: Thursday, March 14, 6:30pm-7:20pm.
• Midterms are non-cumulative, but the final exam is based on the entire syllabus for the course.
• Quizzes: In-class 15–20 minute quizzes will be given on the following dates, all Wednesdays: Jan. 9, Jan. 23, Feb. 13, Mar. 6, Mar. 27. Quizzes are worth 6% of your grade; your worst quiz score will be ignored. Calculators are not allowed on quizzes. Quizzes will be based on the corresponding suggested problems from the text.
• Grade calculation: The mark distribution of the term work of each section may be scaled based on the final exam mark distribution of that section. These adjusted term marks will then be used to compute a student's final grade. Any scaling is performed to ensure fairness in the final grades across sections. It is not expected that such scalings would result in significant grade changes.
• Exam aids: 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 material covered, in which case the content of the formula sheet will be disclosed in class prior to the exam.
• Missing midterms: 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 (your coach will provide you with a letter). 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 your instructor of your failure to take the test within a week of the missed midterm, and come up with a timeline acceptable to both for producing 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.
• Missing the Final Exam: You will need to present your situation to your faculty's Advising Office to be considered for a deferred exam. See the Calendar for detailed regulations . Your performance in a course up to the exam is taken into consideration in granting a deferred exam status (for instance, failing badly normally means you will not be granted a deferred exam). For deferred exams in mathematics, students generally sit the next available exam for the course they are taking, which could be several months after the original exam was scheduled.
• Please bring your student ID-s to both midterms and the final.

Considerate Behavior and Cheating: Talking in class is disruptive to others trying to concentrate on the lecture. Violators may be asked to sit separately or leave the class. Cheating on tests will not be tolerated. Any cheating will immediately be reported the head of the Mathematics Department for disciplinary action. Cheaters are often caught and the usual punishment is a 0 in the course, expulsion from the University for 1 year, no transferability for courses taken at another institution while under suspension and a notation on your transcript of the suspension due to cheating. Finally, it is considered inappropriate in any course to bring friends or other students not registered in the course into the lectures without first obtaining permission of the instructor.

### Course Outline

• The course is divided into three parts. Roughly speaking, we will cover multivariable calculus (Chapter 12) and start on integration (Chapter 5) before the first midterm. We will complete the theory of integration (Chapter 5) and integration techniques (Chapter 7), followed by a week's worth of probability before the second midterm. The rest of the time will be devoted to discussing sequences and series (Chapters 8 and 9).
• Here is a week-by-week schedule of course material based on the appropriate sections of the text. The chapter and section numbers are from the second custom edition of the textbook. Follow the links for each week to get a more detailed description of the concepts covered that week, and for the learning objectives that you should use as self-checks.
• Week 1 (Jan 2--4): Functions of several variables (Chapter 12) Learning goals
• Planes and surfaces (12.1)
• Graphs and level curves (12.2)
• Week 2 (Jan 7--11): Functions of several variables (Chapter 12) Learning goals
• Partial derivatives (12.4)
• Maximum/minimum problems (12.8)
• Week 3 (Jan 14--18): Functions of several variables (Chapter 12) Learning goals
• Maximum/minimum problems (12.8)
• Lagrange multipliers (12.9)
• Week 4 (Jan 21-- Jan 25 ): Integration (Chapter 5) Learning goals
• Approximating areas under curves (5.1)
• Definite integrals (5.2)
• Fundamental theorem of calculus (5.3)
• Week 5 (Jan 28--Feb 1): Fundamental Theorem of calculus (5.3)+Review + Midterm 1
• Week 6 (Feb 4--8): Integration (Chapter 5) and Integration techniques (Chapter 7) Learning goals
• Substitution rule (5.5)
• Integration by parts (7.1)
• Trigonometric integrals (7.2)
• Week 7 (Feb 13--15): Integration techniques (Chapter 7) Learning goals
• Trigonometric integrals (7.2)
• Trigonometric substitutions (7.3)
• Partial fractions (7.4)
• Week 8 (Feb 25--Mar 1): Integration techniques (Chapter 7) Learning goals
• Numerical integration (7.6)
• Improper integrals (7.7)
• Introduction to differential equations (7.8)
• Week 9 (Mar 4--8): Probability ( Probability Appendix) Learning goals
• Random Variables and Probability Basics ( 1.1, 1.2 and 1.4 in Probability Appendix)
• Continuous random variable ( 2.1, 2.2 and 2.3 in Probability Appendix)
• Expected Value, Variance, and Standard Derivation (2.5 and 2.6 in Probability Appendix)
• Week 10 (Mar 11--15): Probability Appendix + Review + Midterm 2
• Week 11 (Mar 18--22): Sequences and infinite series (Chapter 8) Learning goals
• Sequences (8.1-8.2)
• Infinite series (8.3)
• The divergence and integral tests (8.4)
• Week 12 (Mar 25--29): Series (Chapter 8) and Power series (Chapter 9) Learning goals
• The ratio, root and comparison tests (8.5).
• Approximating functions with polynomials (9.1)
• Properties of power series (9.2)
• Week 13 (Apr 1--5): Power series (Chapter 9) and review Learning goals
• Taylor series (9.3)
• Working with Taylor series (9.4)