Math 200/253, Summer Term 1 2016

This is the webpage for the Math 200/253 (section 921) course of 'summer term1 2016'.

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, Thu & Fri 2-3pm in MATX1118 (come to my office if I'm not in the room) or by appointment, tutoring sessions by Amiteshveer Mann on Wed & Fri 1-2 pm, also in MATX1118.

Timeline: The course runs from May 10 to June 16, 2016. The last day to withdraw without a W standing is May 13 and the last day to withdraw with a W standing May 27. The exam period is June 20-24.

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 will normally be computed based on the following formula:

50% Final Exam
30% Midterm
10% Webwork Homework
10% In-class Quizzes

Added: if a student performs significantly better on the final exam with respect to the midterm, a portion of the weight of the midterm will be transferred to the final exam.

Quizzes: will be during the last 10 minutes of the first class of the week (11.40-11.50 on Tuesdays) and will cover the material of the previous week.

So quiz days are May 17th, May 24th, June 7th, June 14th (no quiz on May 31st due to midterm the next day).

I will post a list of problems here every week, and the quiz will consist in one or more of these. I will project the quiz in class, so please BRING YOUR OWN PAPER to write it. No notes/books/calculators allowed.

Only your best 3 quiz scores (out of 4) will be counted for the grade. If you miss one quiz, that one will be dropped. If you miss more than one, those after the first missed one will be marked with a 0.



Midterm with solutions

Date&time: Wed June 1st 2016, 10-11
Room HENN 200 (not the room where we have class!)

The midterm will be based on sections 12.1 to 12.6, 14.1 to 14.6 from the text (except 14.2). Namely, everything we covered in class up to and including 14.6. The test will last for exactly 60 minutes. Use of calculators, books, notes and formula sheets will NOT be allowed during the test. 

To pratice for the midterm, my advice is to look at problems in past midterms. Textbook and Webwork questions are somewhat different from the "typical" midterm or final exam problems.

On the websites

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

Here's a couple more: 1 2

You can also do problems from the final exams of past Math 200 and 253 courses (here). You should be able to tell by the topic of the problem if it's relevant for the midterm. If you're in doubt, please post a question on Piazza or send me an email about it.

Here is the first midterm of last year's summer session with solutions, and here is the second one, with solutions.
(beware that this year's only midterm covers some topics that were in the second midterm last year)


The final exam will be in room BUCH A101 on June 24th starting at 3.30pm, and it will be 2.5 hours (150 minutes). Use of calculators, books, notes will NOT be allowed during the test. You will have a formula sheet similar to the one that was used in the winter term, that you can find here.

The exam covers all the topics of the course (including those covered by the midterm), that you can find in the outline below in this page. Book chapters are 12, 14 and 15 (except sections 14.2, most of 15.5,  and all of 15.6 and 15.10).

On the exam there will probably be a number of short answer questions, followed by a few "longer" problems.

To practice, my advice is (after you've studied the theory) to look at problems in past finals. You can find them here. I also posted some handwritten solutions to some of these on the Piazza page. Use the solutions only after trying to solve the problems for yourself!

Here is last year's final exam with solutions.

During finals week I don't plan to have "fixed" office hours times, but I'll mostly be in my office and you're welcome to stop by to ask questions. If there's too many people for my office, we'll go to one of the classrooms in the first floor of the Math Annex.
If you want to be 100% sure that I'll be at UBC when you want to stop by, please send me an email beforehand.

Course notes

I will loosely follow the notes from a past iteration of the course, that you can find here (courtesy of prof. S. Adams).

I will also post scanned notes of my lectures on the Piazza webpage for the course (link - see below for details about Piazza).

In case you want to read up ahead of the lectures, here's a rough plan for the current week (that can be subject to change):

Tue: triple integrals (15.7)
Wed: cylindrical coordinates (15.8)
Thu: spherical coordinates, examples (15.9)
Fri: no class

Webwork (homework)


Use your CWL to login to do your weekly on-line homework problem sets. The course is listed as MATH200-253-921_2016S1

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

Assignment 0 won't be graded (it's meant to make you familiarize with the system).

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/plaza' 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!)

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

Other resources

Past exams
Wiki page with some solutions to final exams
  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.