This is the common course website for Math 200 (Winter Term 2, 2016-17). For section-specific information, please refer to resources provided by individual sections' instructors:

Section 201(MWF 9-10 am, LSK 201, Shen)

Section 202 (MWF 11am-12 pm, MATH 100, Yilmaz)

Section 203 (TTH 12:30-2 pm, MATH 100, Murugan)

**Primary
textbook:** For most of the course, we will be
using APEX Calculus, which you can download for free. We
will be using "Version 3.0, Volume 3 (Chapters 9 - 13)" as
listed on the APEX Calculus Download page: http://www.apexcalculus.com/downloads/

At times, especially in the last few weeks of the course, we
will also refer to the following secondary online textbooks:

Secondary textbook #1: Single and
Multivariable Calculus (Whitman College)

Secondary
textbook #2: Calculus (Strang)

MORE

WEBWORK ONLINE HOMEWORK

The weekly WeBWork assignments can be reached at: https://webwork.elearning.ubc.ca/webwork2/MATH200-ALL_2016W2

The due dates are Fridays at 11:59pm (see webwork site).

There will be 5 quizzes. These will be short 10 minute quizes that will take place in class on the dates listed below. The information for each quiz below will be updated closer to the time of the quiz -- please check your section's website for up-to-date information. The solutions to these will be posted on the individual sections' websites. The Friday dates below are for MWF sections, and the Thursdays are for TT sections.

**Quiz 1:**Jan 12 (Thursday), Jan 13 (Friday)-
**Quiz 2:**Jan 26 (Thursday), Jan 27 (Friday) -
**Quiz 3:**Mar 2 (Thursday), Mar 3 (Friday) -
**Quiz 4:**Mar 16 (Thursday), Mar 17 (Friday) -
**Quiz 5:**Mar 30 (Thursday), Mar 31 (Friday)

**Date:**Thursday, Feb 9 in class (for T-TH sections); Friday. Feb 10 in class (for MWF sections)**Time/Place:**During regular class time in the regular classroom**Duration:**50 minutes**What is covered:**Check your section's website for specific information on test material. It may differ for different sections.**IMPORTANT:**Check the common course website and your individual section's website for further announcements regarding the midterm.

Part I: 3-Dimensional Geometry

Introduction, three dimensional coordinate systems, vectors, dot product, cross product, equations of lines and planes, cylinders and quadratic surfaces

Section 10.1, problems 1-3, 7, 9, 12, 16

Section 10.2, problems 1-5, 8, 11, 15, 20, 23, 27, 31

Section 10.3, problems 1-3, 11, 15, 19, 31, 39

Section 10.4, problems 1-5, 9, 15, 27, 30, 31, 35, 39, 41

Section 10.5, problems 7, 11, 21, 27, 31

Section 10.6, problems 1, 2, 9, 11, 14, 15, 17, 19, 25, 29, 32

Section 10.1, problems 15, 17, 23-26, 27, 32

2015WT1 #1a, b

2013WT2 #1a, b, c

2013WT1 #1a (i, ii)

2012WT1 #1

2011WT2 #1

__Part II: Differentiation of Multivariable Functions__**
(12.1-12.8 & 14.8 from secondary text #1)**

Functions of several variables, limits and
continuity, Partial derivatives, Tangent planes and linear
approximations, chain rule, directional derivatives and gradient
vector, Maximum and minimum values, Lagrange multipliers

*Suggested problems from the primary textbook:*

Section 12.1, problems 1-6, 7, 11, 17, 19, 21, 23, 26, 27, 29, 31

Section 12.3, problems 1-4, 5, 13, 19, 29, 33

Section 12.4, problems 7, 10, (find equation of tangent plane to z=f(x, y) at given point for 11, 12) , 13, 15, (find linear approximation for 17, 18 at the given point)

Section 12.5, problems 1-5, 9, 17, 21, 29

Section 12.6, problems 1-6, 13, 15, 21, 23, 25, 27

Section 12.7, problems 17, 19, 21, 23

Section 12.8, problems 1-4, 5, 7, 11, 13, 15, 17 (also 11, 13, 15, 19 from 14.7 in secondary text #1)

Section 14.8 (from secondary text #1) 5, 10, 11, 12, 13, 15, 17

*Suggested problems from past final exams (mostly involves
linear approximation, tangent plane to graphs):*

2015 #2 ii

2014 #3

2011WT2 #2a

2011WT2 #2b

2011WT1 #1b, c

*Suggested problems from past final exams (mostly involves
chain rule and/or implicit diff.):*

2015 #3

2014 #2

2013WT2 #2a

2013WT1 #1b(ii, iii)

2013WT1 #1c

2013WT1 #1d

2012WT1 #2, 3

2011WT2 #3

2011WT1 #2

*Suggested problems from past final exams (involves
gradient vectors and relations to directional derivatives, and
level sets):*

2015 #1(iii)

2015 #2(i, iii)

2014 #1, 4

2013WT1 #1b(i)

2013WT2 #2 b, c

2013WT1 #1e

2013WT1 #1f

2013WT1 #2

2011WT2 #4

2011WT1 #3

*Suggested problems from past final exams (involves
classifying local extrema, absolute extrema, Lagrange
Multipliers):*

2015 #4, 5

2014 #5

2013WT2 #3, 4

2013WT1 #3, 4

2012WT1 #4, 6

2011WT2 #5

2011WT1 #4

*Suggested problems from the primary textbook: *

13.1 PROBLEMS: 7, 9, 19, 21 (also see #3, 5, 10, 13, 15 from section 17.1 secondary text #1)

13.2 PROBLEMS: 1-4, 7, 9, 13, 17, 21, 25 (also see #17, 21, 23 from section 15.1 secondary text #1)

13.3 PROBLEMS: 3, 4, 8, 13, 15

13.4 PROBLEMS: 1, 5, 6, 13, 24

13.6 PROBLEMS: 5, 7, 9, 11, 13, 15, 19, 23

14.4 (from secondary text #2) PROBLEMS: 11, 13, 15, 19, 22, 23

*Suggested problems from past final exams (double
integrals):*

2015 #6

2014 #6

2013WT2 #5, 6a

2013WT1 #6

2012WT1 #7,8

2011WT2 #6, 7

2011WT1 #5, 6

*Suggested problems from past final exams (triple integrals
in rectangular, cylindrical and spherical coord):*

2015 #7, 8

2014 #8, 9

2013WT2 #7,8

2013WT1 #7, 8, 9

2012WT1 #9,10

2011WT2 #8, 9, 10

2011WT1 #7, 8

**COURSE POLICIES**

Section 12.1, problems 1-6, 7, 11, 17, 19, 21, 23, 26, 27, 29, 31

Section 12.3, problems 1-4, 5, 13, 19, 29, 33

Section 12.4, problems 7, 10, (find equation of tangent plane to z=f(x, y) at given point for 11, 12) , 13, 15, (find linear approximation for 17, 18 at the given point)

Section 12.5, problems 1-5, 9, 17, 21, 29

Section 12.6, problems 1-6, 13, 15, 21, 23, 25, 27

Section 12.7, problems 17, 19, 21, 23

Section 12.8, problems 1-4, 5, 7, 11, 13, 15, 17 (also 11, 13, 15, 19 from 14.7 in secondary text #1)

Section 14.8 (from secondary text #1) 5, 10, 11, 12, 13, 15, 17

2015 #2 ii

2014 #3

2011WT2 #2a

2011WT2 #2b

2011WT1 #1b, c

2015 #3

2014 #2

2013WT2 #2a

2013WT1 #1b(ii, iii)

2013WT1 #1c

2013WT1 #1d

2012WT1 #2, 3

2011WT2 #3

2011WT1 #2

2015 #1(iii)

2015 #2(i, iii)

2014 #1, 4

2013WT1 #1b(i)

2013WT2 #2 b, c

2013WT1 #1e

2013WT1 #1f

2013WT1 #2

2011WT2 #4

2011WT1 #3

2015 #4, 5

2014 #5

2013WT2 #3, 4

2013WT1 #3, 4

2012WT1 #4, 6

2011WT2 #5

2011WT1 #4

__Part III: Integration of Multivariable Functions
(13.1-13.6 and 14.1 from secondary text #2)__

13.1 PROBLEMS: 7, 9, 19, 21 (also see #3, 5, 10, 13, 15 from section 17.1 secondary text #1)

13.2 PROBLEMS: 1-4, 7, 9, 13, 17, 21, 25 (also see #17, 21, 23 from section 15.1 secondary text #1)

13.3 PROBLEMS: 3, 4, 8, 13, 15

13.4 PROBLEMS: 1, 5, 6, 13, 24

13.6 PROBLEMS: 5, 7, 9, 11, 13, 15, 19, 23

14.4 (from secondary text #2) PROBLEMS: 11, 13, 15, 19, 22, 23

2015 #6

2014 #6

2013WT2 #5, 6a

2013WT1 #6

2012WT1 #7,8

2011WT2 #6, 7

2011WT1 #5, 6

2015 #7, 8

2014 #8, 9

2013WT2 #7,8

2013WT1 #7, 8, 9

2012WT1 #9,10

2011WT2 #8, 9, 10

2011WT1 #7, 8

- No electronic devices will be allowed at the midterm and final exam. This includes calculators, cell phones, music players, and all other such devices. Formula sheets and other memory aids will not be allowed.
- Missing a homework, a quiz, or a midterm normally results in
a mark of 0. Exceptions may be granted in two cases: prior
consent of the instructor or a medical emergency. In the
latter case, the instructor must be notified within 48 hours
of the missed test, and presented with a doctor's note
immediately upon the student's return to UBC. Failure to
comply results in a 0 mark. If a midterm was missed for
legitimate reasons, the weight of the missed midterm will be
transferred to the final. Make-up midterms will not be
provided.
**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.** - 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.
- 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.

- 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.

- 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.

- You can use Wolfram
Alpha -- it is a wonderful tool for calculations,
plotting graphs of functions of two variables, and various other
tasks. 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)".