| 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, |
| Office Hours: | TBA |
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 will also be weekly suggested problems from the book which will not be collected but are intended for practice. Weekly suggested problems will be maintained on the course page for section 103 and can be obtained here.
Reload this page regularly for updates.
Week 1 (Sept 4-- 7): 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 7th will not count for a grade -- it is intended to get you used
to webwork.
Week 2 (Sept 10-- 14): 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 17th: 12.2 #42, 12.3 #56, 12.4 #50
Week 3 (Sept 17-- 21): Functions of several variables, Limits
and continuity (14.1, 14.2)
Written homework assignment due in class, Monday Sept 24th: 12.5 #78, 12.6 #46, 14.1 #44,#46, #50, 14.2 #40
Week 4 (Sept 24 -- 28): Partial derivatives (14.3), Tangent planes and linear approximation (14.4).
Written homework assignment due in class, Monday Oct 1st: 14.3 #74, #76, #88, 14.4 #1-6,#34, #40,
Week 5 (Oct 1 -- 5): Tangent planes and linear approximations (continued),
Chain rule
(14.5)
No written assignment due this week. Study for your midterm!
Here is the midterm from 2005. Problems 1, 2, and 3 are on material which could appear in the upcoming midterm.
Here is the 2005 final. Problems 1 and 7 are on relevant material.
The following practice problems are good preparation material for the midterm. Some of these problem sets have material which will not be covered on the midterm (these problem sets are from previous years), so use your common sense!
Practice problem set 1.
Practice problem set 2.
Practice problem set 3.
Practice problem set 4.
Practice problem set 5.
Practice problem set 6.
Practice problem set 7.
Practice problem set 8.
Week 6 (Oct 9 -- 12): Directional derivatives and gradient (14.6)
Midterm 1, October 10th, held in class Midterm will cover up to section 14.4
Solutions to the midterm.
Written homework assignment due in class, Monday Oct 15th: 14.5 # 46, 52, 56, 14.6: 52, 60
Week 7 (Oct 15 -- 19): Maximum and minimum values, Lagrange multipliers (14.7, 14.8)
Written homework assignment due in class, Wednesday Oct 24th: 14.7 #42, #52, 14.8 #10, #12, #20, #28
Week 8 (Oct 22 -- 26): Lagrange multipliers continued, double integrals over rectangles, iterated integrals (14.8, 15.1, 15.2)
Written homework assignment due in class, Monday Oct 29th: 14.8 #32, 15.2 #20, #22, #30.
Week 9 (Oct 29 -- Nov 2): Iterated integrals continued, double integrals (15.2,
15.3)
Written homework assignment due in class, Wednesday Nov 7th: 15.3 #32, #46, #48, #52 15.4 #10, #26, #38.
Week 10 (Nov 5 -- 9): Double integrals in polar coordinates,
Applications
(10.3, 15.4, 15.5)
Week 11 (Nov 14 -- 16): Applications of double integrals continued, surface area
(15.5, 15.6)
Midterm 2, Nov 14th, 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 19 -- 23): Surface area continued, Triple integrals (15.6, 15.7)
Written homework assignment due in class, Wednesday Nov 21st: 15.5 #14, #16, 15.6 #10, #12, #24.
Week 13 (Nov 26 -- 30): Triple integrals in cylindrical and
spherical
coordinates (15.8, 15.9)
Written homework assignment due in class, Wednesday Nov 28st: 15.7 #32, #34, 15.8 #24, #30 15.9 #30, #36.
Solutions to the final exam.