Math 253 - Fall 2013

Course Head:Jim Bryan (also section 101 instructor)
Email:jbryan (at) math (dot) ubc (dot) ca
Office:MATH 226
Office Hours:MW 1:00pm - 2:00pm
Section 101 Lectures:MWF 11:00-11:50 - location: Math 100
Text: Multivariable Calculus, Edition 7E, James Stewart,
Links to other sections: Section 102 Lior Silberman
Section 103 Sabin Cautis
Section 105 Dale Peterson

Marking Scheme

The student's grade will be determined by higher of the following two schemes:

Scheme 1
Webwork/Homeworks - 20%
Midterms - 30%
Final Exam - 50%

Scheme 2
Final exam grade minus 10 points.

All homeworks, midterms, and the final are the same across all sections. The grades on the midterms and the final may be scaled. Scheme 2 above is meant to be your "safety net" --- for example if you do very poorly on one or two of the midterms for some reason, you can still get a good grade in the course by doing well on the final exam. Do not plan to use option 2!

Midterm Policies

The midterms will take place in class and will be common to all of the sections. There will be no calculators or cheat sheets allowed on the midterms or final exam. There will be no make-up midterms. If a student misses a midterm for a legitimate, well documented reason, then the remaining midterm and the final exam will be given more weight in the grading scheme for that student. A student missing both midterms will have to retake the course. The midterms are tenatively scheduled for October 9th and November 13th.

Help resources

Jim Bryan's office hours are Mondays and Wednesdays from 1:00 pm to 2:00 pm in math 226. If you cannot make those office hours, you may go to the office hours of the other instructors which are listed on their section webpages (links above).

There is also help available at the MATHEMATICS LEARNING CENTRE (MLC). The Mathematics Learning Centre is a drop-in tutorial centre for undergraduate Math courses, staffed by Graduate Teaching Assistants. This centre is located in Rooms 300, 301, and 302 in the Leonard S. Klinck (LSK) Building, and is open Monday through Friday, 9:00am to 7:00pm. Check our website above for any changes to hours and announcements. All tutors provide assistance with first- and second-year calculus and linear algebra and will attempt to help with any undergraduate Math course. In addition to regular assistance, the MLC offers Quick Help for students who are looking for fast support for minor snags. There is no charge for the services MLC provides.


There will be two kinds of graded homeworks: webwork and written assignments from the book. Webwork assignments will be due on Fridays at 5:00 pm. The assignments can be gotten here. You will need to log on with your Campus Wide Login. For most problems, you will have an unlimited number of attempts for each problem and will not be penalized for incorrect answers. You can therefore continue to work on each problem until you have them all correct. Use the email instructor button for any questions (mathematical or otherwise) regarding the webwork. The "instructor" is not the instructor giving lectures, but is Josh Scurll who is a teaching assistant dedicated to help with WebWork.

There will be a written homework assignment every week due on Mondays in class. These assignments will be problems from the book and will be graded. These assignments will have fewer, but more challenging problems than the WebWork. The assignments will listed with the weekly syllabus below.

There are also suggested problems from the book which will not be collected but are intended for practice. Suggested problems can be found here.

Course calendar, assignments

Reload this page regularly for updates.

Week 1 (Sept 4-- 6): Introduction, Three dimensional coordinate systems, vectors, Dot product(12.1, 12.2, 12.3)

No written homework due. Note that the WebWork assignment 0 due on Sept 6th will not count for a grade -- it is intended to get you used to webwork.

Week 2 (Sept 9-- 13): Cross Product, Equations of lines and planes, cylinders, and quadric surfaces (12.4, 12.5, 12.6)

Written homework assignment due in class, Monday Sept 16th: 12.2 #42, 12.3 #56, 12.4 #50

Week 3 (Sept 16-- 20, NO CLASS on the 18th!): Functions of several variables, Limits and continuity (14.1, 14.2)

Written homework assignment due in class, Monday Sept 23th: 12.5 #78, 12.6 #46, 14.1 #44,#46, #50,

Week 4 (Sept 23 -- 27): Partial derivatives (14.3), Tangent planes and linear approximation (14.4).

Written homework assignment due in class, Monday Sept 30th: 14.3 #74, #76, #88, 14.4 #1-6,#34, #40,

Week 5 (Sept 30 -- Oct 4): Tangent planes and linear approximations (continued), Chain rule (14.5)

No written assignment due this week. Study for your midterm!

Week 6 (Oct 7 -- 11): Directional derivatives and gradient (14.6)

Midterm 1, October 9th, held in class Midterm will cover up to section 14.4 (note: we will not cover limits and continuity 14.2).
Practice midterm and review problems can be found here.
Solutions to the midterm.

Written homework assignment due in class, Wednesday Oct 16th: 14.5 # 46, 52, 56, 14.6: 52, 60

Week 7 (Oct 16 -- 18): Maximum and minimum values, Lagrange multipliers (14.7, 14.8)

Written homework assignment due in class, Monday Oct 21st: 14.7 #42, #52, 14.8 #10, #12, #20, #28

Week 8 (Oct 21 -- 25): Lagrange multipliers continued, double integrals over rectangles, iterated integrals (14.8, 15.1, 15.2)

Written homework assignment due in class, Monday Oct 28th: 14.8 #32, 15.2 #20, #22, #30.

Week 9 (Oct 28 -- Nov 1): Iterated integrals continued, double integrals (15.2, 15.3)

Written homework assignment due in class, Wednesday Nov 6th: 15.3 #32, #46, #48, #52 15.4 #10, #26, #38.

Week 10 (Nov 4 -- 8): Double integrals in polar coordinates, Applications (10.3, 15.4, 15.5)

Week 11 (Nov 13 -- 15): Applications of double integrals continued, surface area (15.5, 15.6)

Midterm 2, Nov 13th, held in class The midterm will cover up to and including section 15.4

Review material for the second midterm can be found here.

Solutions to midterm 2.

Week 12 (Nov 18 -- 22): Surface area continued, Triple integrals (15.6, 15.7)

Written homework assignment due in class, Wednesday Nov 20th: 15.5 #14, #16, 15.6 #10, #12, #24.

Week 13 (Nov 25 -- 29): Triple integrals in cylindrical and spherical coordinates (15.8, 15.9)

Written homework assignment due in class, Wednesday Nov 27th: 15.7 #32, #34, 15.8 #24, #30 15.9 #30, #36.

The final will take place on Wednesday, Dec 4th, from 3:30 pm until 6:30 pm. Section 101 will take the exam in Woodward Hall, Room 2 .

The final will cover all topics of the term with some emphasis on topics which have not yet been tested by the midterms (namely, applications of double integrals, triple integrals).

Review materials for the final can be found here.