Math 200/253, Summer Term 1 2015

This is the webpage for the Math 200/253 (section 921) course of 'summer term1 2015'.

Here you will find all relevant info about the course.

Generic info

: Mattia Talpo, email mtalpo(at)math(dot)ubc(dot)ca, office MATX1220

Class times: Tue 10-12, Wed 10-11, Thu & Fri 10-12 In LSK200

Office hours
: Tue 2-3pm in MATX1118 or by appointment, tutoring sessions by Bryan Zhang in LSK301 (MLC) on Tue & Thurs 2-3pm

Timeline: The course runs from May 11 to June 18, 2015. The last day to withdraw without a W standing is May 15 and the last day to withdraw with a W standing May 29. The exam period is June 22-26.

Textbook: Multivariable Calculus, 7th edition by James Stewart.
ISBN 978-0-538-49787-9.
Publisher: Brooks/Cole

This book is available at the UBC Bookstore. You are free to use a different edition of textbook. Note that there may be differences in page number references and problem numbering between different editions. It is up to you to deal with any such potential inconsistencies if you use a different edition of the text.

Grading scheme: Your grade normally will be computed based on the following formula:

50% Final Exam
40% 2 Midterms
10% Webwork Homework.



Midterm1 with solutions

Date&time: Wed May 27th, 10-11
Room SCRF 100 (not the room where we have class!)


For practice problems, aside from the ones listed below in the 'course outline' section, please visit these websites

of past iteration of this course. There you can find some sample midterms/final exams with exercises.

Here's some direct links that you will also find in the pages above:
Problems on vectors, lines and planes

You can do problems from the final exams of past Math200 courses (here). You should be able to tell by the topic of the problem if it's relevant for the first midterm. If you're in doubt, post a question on Piazza or send me an email about it.


Midterm2 with solutions

Date&time:  Wed June 10th, 10-11
Room HENN 200 (not the room where we have class!)

For info on the topics you can refer to this file from last term, except that our midterm will last 60 minutes.

You can find past midterms and practice problems at the same links that I posted above for midterm1.


Final with solutions

June 23rd at 12:00, in room ANGU 098.

Info file

Lots of practice (past finals) here

Course outline

The following is an outline of the topics to be covered in the course. The suggested problems from the textbook will not be collected or graded. You are strongly advised to work out the problems in detail before looking at the solutions as they will give you practice in the techniques learned in class and provide essential help in preparing for the WebWorK homework, midterms, and final exam. Chapter numbers are given for Edition 7; the numbers from Edition 6 will be different.

3-DIMENSIONAL GEOMETRY (12.1-12.6): Introduction, three dimensional coordinate systems, vectors, Dot product, cross product, equations of lines and planes, cylinders and quadric surfaces,

suggested problems:
Section 12.1, problems 21, 33, 35, 41
Section 12.2, problems 4, 9, 15, 21, 25, 29, 35
Section 12.3, problems 7, 9, 17, 25, 41, 45, 49, 51, 55
Section 12.4, problems 3, 9, 15, 19, 27, 31
Section 12.5, problems 5, 9, 19, 33, 35, 37, 45, 51, 57, 65
Section 12.6, problems 1-19 (odd), 21-28 (all), 43, 45

DIFFERENTIATION OF MULTIVARIABLE FUNCTIONS (14.1-14.8): Functions of several variables, Partial derivatives, Tangent planes and linear approximations, chain rule, directional derivatives and gradient vector, Maximum and minimum values, Lagrange multipliers

suggested problems:
Section 14.1, problems 7, 11, 15, 19, 25, 32, 33, 43, 47, 59, 61, 63, 67
Section 14.3, problems 3, 9, 25, 43, 49, 51, 75, 77, 93, 95, 99
Section 14.4, problems 3, 13, 21, 25, 35, 39
Section 14.5, problems 3, 7, 13, 21, 35, 39, 45, 49, 51
Section 14.6, problems 7, 17, 25, 27, 31, 33, 35, 41, 49, 53, 57, 63
Section 14.7, problems 1, 7, 13, 15, 19, 29, 31, 39, 43, 45, 47
Section 14.8, problems 1, 9, 15, 21, 29, 33, 35, 37, 43

INTEGRATION OF MULTIVARIABLE FUNCTIONS (15.1-15.9 (excluding 15.6)): double integrals over rectangles, Iterated integrals, double integrals over general regions, Double integrals in polar coordinates, applications of double integrals, triple integral, Triple integrals in cylindrical and spherical coordinates .

suggested problems:
Section 15.1, problems 1(a), 6, 13
Section 15.2, problems 9, 23, 25, 31, 35
Section 15.3, problems 5, 17, 19, 23, 27, 35, 47, 49, 53
Section 10.3 (Polar Coordinates), problems 4, 6(i), 10, 16, 18, 22
Section 15.4, problems 5, 11, 13, 14, 21, 27, 31, 35
Section 15.5, problems 7, 11, 16
Section 15.7, problems 13, 15, 21, 27, 31, 33, 35, 41
Section 15.8, problems 19, 21, 25, 29
Section 15.9, problems 23, 25, 35, 39

Webwork (homework)


Use your CWL to login to do your weekly on-line homework problem sets. The course is listed as MATH200-253-921_2015S1

Due dates: Mondays at 11pm. There will be no extensions/late assignments.

Assignment 0 won't be graded.

Note that the intent of homework is to help you learn the material, and therefore it should be done as you are studying.


There is a page on Piazza for the course, you can find it here (signup).
(you need a email address to subscribe by yourself; if you don't have it, send me an email (addess at top) and I will enroll you)

What is Piazza?

(apart from being the word for 'square' in Italian) it's is a kind of forum where you can ask questions about the material of the course (in anonymous form, if you want). The advantage is that, besides the instructor, other students can aswer the questions as well! (and that includes YOU!)

Other resources

Past exams
Wiki page with some solutions to final exams

Here is the webpage of a past iteration of this course, with lecture notes (courtesy of prof. S. Adams).
(some lecture notes are actually from another course he taught. Here are the correct ones 22 24 25 29 )
Lecture notes for week 4 (maxima&minima)
  1. In addition to your instructor's office hours, please take advantage of the Math Learning Centre drop-in tutoring. Do not wait till the exams -- if you feel uncomfortable with any of the material, talk to your classmates, talk to the instructor, and come ask questions at the Math Learning Centre.
  2. You can use Wolfram Alpha -- it is a wonderful tool for plotting graphs of functions of two variables, for example. If you want to visualize, for example, the surface x^2+xy-y^2+3z=0, just type in "plot (x^2+xy-y^2+3z=0)".

Course policies

  1. No books, notes or electronic devices will be allowed at midterms and final examination. This includes calculators, cell phones, music players, and all other such devices. Formula sheets and other memory aids will not be allowed.
  2. 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). In the case of illness, the physicians note must contain the statement that ``this student was/is physically unfit to attend the examination on the scheduled date". There will be no make-up midterms, and the weight of the missed midterm will be transferred to the final examination. 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.
  3. Missing the Final Exam: You will need to present your situation to the Dean's Office of your Faculty 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 (e.g. failing badly generally means you won't be granted a deferred exam). In Mathematics, generally students sit the next available exam for the course they are taking, which could be several months after the original exam was scheduled.
  4. 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. More information.
  5. Note that academic misconduct includes misrepresenting a medical excuse or other personal situation for the purposes of postponing an examination or quiz or otherwise obtaining an academic concession.