### Announcements

• The final exam is on April 30 (Wednesday) at 8:30 am, in ESB 1013. The exam will be cumulative and will cover all course material (Chapters 13 and 16 of the textbook). In addition to the material already covered on the midterms, this includes Sections 16.8 and 16.9.
• Office hours before the final exam:
• Section 201 (Prof. Laba): Wednesday April 23, 2-3; Friday April 25, 2-3; Tuesday April 29, 2-4.
• Section 202 (Prof. Au-Yeung): TBA
• Math final exam packs (usually, 5 past final exams with solutions) can be purchased from the UBC Math Club.
• Homework 5 solutions are posted here.
• Midterm 2 solutions:
• Homework 4 solutions are posted here.
• The second midterm exam on March 19 will cover Sections 16.3-16.7 of the textbook:
• Section 16.3: Conservative fields and path independence of line integrals
• Section 16.4: Green's theorem
• Section 16.5: Curl and divergence
• Section 16.6: Parametric surfaces, normal vectors, tangent planes, area (note: we skipped "surfaces of revolution", p. 1127)
• Section 16.7: Surface integrals of functions and vector fields
• Recommended problems from Section 16.7: 5-32 (see Student Solutions Manual for solutions)
• A practice midterm (covering the same material, about the same length and the same level of difficulty) is available here. Solutions are posted here.
• The midterm exam on February 12 covered material up to (and including) Section 16.2 of the textbook:
• Chapter 13: Sections 13.1-13.4. (Skip Kepler's laws, pp. 891-893 - last part of Section 13.4.)
• Chapter 16: Sections 16.1-16.2.
• Recommended problems from Section 16.1: 3, 5, 21, 25 (see Student Solutions Manual for solutions)
• Recommended problems from Section 16.2: 3, 7, 9, 15, 19, 21, 33, 41, 43 (see Student Solutions Manual for solutions)
• Midterm 1 solutions:
• A practice midterm (covering the same material, about the same length and the same level of difficulty) is available here. Solutions are available here.

## Mathematics 317 (Calculus IV), Winter/Spring 2014

Lecture times and locations:
• Section 201: Prof. I. Laba, MWF 2:00-2:50, LSK 201 (note that LSK is also known as CSCI)
• Section 202: Prof. E. Au-Yeung, MWF 12:00-12:50, Buchanan A202
Lecturer: Prof. I. Laba (Section 201)
• Math Bldg 200, (604) 822 4457, ilaba@math.ubc.ca
• Office hours (tentative): Monday 1-2, Wednesday 3-4, Friday 11-12, in MATH 200.
Lecturer: Prof. E. Au-Yeung (Section 202)
• ESB 4112, (604) 822 8746, enricoauy@math.ubc.ca
• Office hours: Thursday 1:00-2:30pm, in LSK 303C.
The best way to contact instructors is by email. Please note that email received on evenings and weekends will be answered on the next business day.
If you cannot attend regular office hours due to schedule conflict, please make an appointment in advance. Drop-ins and same-day requests for appointments cannot usually be accommodated.

Prerequisites: One of MATH 200, MATH 226, MATH 253. (MATH 221 is recommended.)

Course web page: http://www.math.ubc.ca/~ilaba/teaching/math317_S2014

Homework assignments will be posted here.

Textbook: J. Stewart, Multivariable calculus, 7th ed., Brooks/Cole 2013, ISBN-13: 978-0-538-49787-9.

Course outline: We will be covering advanced topics in multivariable calculus: vector fields, integration on curves and surfaces. Specific topics will include:
• Vector valued functions of one variable (Chapter 13): Parameterized curves, velocity, acceleration, arc length. Includes curvature, normal and binormal vectors, tangential and normal components of acceleration.
• Vector valued functions of several variables (Chapter 16): vector fields, line integrals, conservative fields, fundamental theorem of line integrals, Green's theorem, gradient, curl, divergence, parameterized surfaces, suface area, surface integrals, Stokes' theorem, divergence theorem.
Your course mark will be based on homework (10%), two midterm exams (20% each), and the final exam (50%). The grades may be slightly scaled at the end of the course.

Examinations: There will be two in-class 50-minute midterms scheduled on Wednesdays, February 12 and March 19, and a 2.5 hour final exam in April. The date of the final examination will be announced by the Registar later in the term. Attendance at the final examination is required, so be careful about making other committments (such as travel) before this date is confirmed. All examinations will be strictly closed-book: no formula sheets, calculators, or other aids will be allowed.

Homeworks: There will be 5 homework assigmnents, due tentatively on Fridays, January 17, January 31, February 28, March 14, and March 28. Each homework will be announced and posted here at least a week in advance. The homeworks are to be handed in at the beginning of class. If you cannot come to class, you may drop off your homework at your instructor's office prior to the start of class. Late assignments will not be accepted. Solutions will be posted on the course webpage immediately after the lecture. To allow for minor illnesses and other emergencies, the lowest homework score will be dropped.

Academic concession: Missing a midterm, or handing in a homework after the deadline, will result in a mark of 0. Exceptions may be granted in two cases: prior consent of the instructor, or a documented medical reason. Your course mark will then be based on your remaining coursework.