MATH 200-Section 103-Fall 2016
MWF 11-12 at Math Annex 1100


I teach 2 sections of Math 200: section 103 and section 104. The pace, quizzes, and midterms will be different, you MUST take the quizzes and midterms given to your section. Make sure YOUR SECTION IS 103 when using this page. This page is still under construction, below information might be modified.


Instructor: Khoa D. Nguyen
Email: dknguyen at (or khoanguyen2511 at
Office hours (shared between 2 sections 103 and 104):
2:15-3:15 on Monday, 4:30-5:30 on Wednesday, and 5-6 on Thursday at LSK 300B, or quick 5-minute questions after lectures (if the room is not occupied).


Most important information:

· Common page for all sections (maintained by our Instructor-in-charge Prof. Albert Chau).

· Textbook: mainly use a primary textbook, and occasionally secondary textbook #1 and secondary textbook #2. These are free to download, visit the common page for more details.
In the previous semesters, we used Stewart’s book “Multivariable Calculus (7th edition) which is an excerpt of his bigger book “Calculus: Early Transcendentals”. It’s also useful if you have any of these Stewart’s books (from previous courses, friends, or somewhere on the internet).

· Grade components: homework using WeBWorK, 6 quizzes, one midterm, and one final. Visit the common page for more details.

· Only one midterm on Friday Oct 14. This midterm takes place at our normal meeting time and room. Different sections will have different midterms. At the end, the scores will be scaled to ensure fairness among all sections.

· Final exam: all sections do a common final exam. The exact date will be announced later.


Some tips:

· Do not hesitate to visit my office hours, other instructors’ office hours (see the common page), the Math Learning Centre,…

· I follow the textbook closely. You should skim through the topics before and review the notes after each lecture, spend time on WeBWorK, and solve the suggested problems (including past exams) given in the common page.

· Study with friends.



Due at 5pm on Friday. You can ask WeBWorK questions in my office hours (but NOT by emails).

The first assignment is open on Friday Sep 9 and due on Friday Sep 16.

Link to weekly WeBWorK


6 quizzes mostly on Fridays except the one on Wednesday Nov 9. You have around 10-15 minutes for each quiz. You MUST take the quizzes given in your section. Your lowest quiz score will be dropped (so having a bad day or missing a quiz without a “documented reason” will not hurt).


Quiz 1: Friday Sep 16. Cover the lectures on Sep 7-9. Questions are very similar to examples done in the filled notes Sep07 and Sep09. Solution


Quiz 2: Friday Sep 30. Cover the notes Sep12, Sep14, Sep16, Sep19, Sep21, and the note extra-week3 (posted on Friday 9/23). Skip “torque”. For this quiz (but NOT for the midterm and final), you can skip “work”, “angle between 2 planes” and “angle between a line and a plane” (discussed in the note Sep21). I will give you the formulas for: projection of u onto v, distance from a point to a line, distance between 2 skew lines, and distance from a point to a plane. Solution


No quiz on Fri Oct 14 (midterm)

Quiz 3: Friday Oct 28

Quiz 4: Wednesday Nov 9 (since Fri Nov 11 is a holiday)

Quiz 5: Friday Nov 18

Quiz 6: Friday Nov 25


Midterms, final, and past exams:

Notes and calculators are NOT allowed. Formula sheets will be provided in the midterm and final. Visit the common page for more details.

Past finals:

Some past midterms: in the past, we had 2 midterms each year. So the second midterms below (held in November) contain a lot of extra materials that will not appear in our midterm. For more past midterms, visit the common page.

2014-MT1 2014-MT2 (in Fall 2014, all sections have common midterms. Each midterm is 1.5 hours long and some questions are pretty hard)

2015-104-MT1 2015-104-MT2 2015-105-MT1 2015-105-MT2 (in Fall 2015, different sections have different exam)


Important information on your midterm: MT1-Info

The first page (ignore the number of questions and the scores “X” and “Y”) and the last page (formula sheet) of your midterm: MT1-First-Last

Extra office hour: 2:30-3:30 on Tuesday Oct 11 at LSK300C.



Disclaimer: these notes might contain mistakes, might not show students’ questions, any possible extra explanations, corrections, problems, and examples done in the lectures. Using these notes without going to classes might do more harm than good.


Week 1: Coordinates and vectors. Sections 10.1 and 10.2 from the primary textbook (we will do “cylinders and quadric surfaces” LATER, ignore them for the moment). Raw notes: Sep07 Sep09. Filled notes: Sep07 Sep09
These topics correspond to Sections 12.1 and 12.2 in Stewart’s book.
Highly recommended problems: none; if you want more practice, do the suggested problems in our common website or those in Stewart’s book.


Week 2: Dot product, cross product, equations of lines. Sections 10.3, 10.4, and 10.5 from the primary textbook. Raw notes: Sep12 Sep14 Sep16. Filled notes: Sep12 Sep14 Sep16

These topics correspond to Sections 12.3, 12.4, and 12.5 in Stewart’s book. Highly recommended problems: any problems involving dot product, cross product, lines, and planes in past finals such as Problem 1(a)(b) in 2015-WT1, Problem 1 in 2013-WT2, Problem 1(a) in 2013-WT1 or past midterms (posted above) such as Problems 1,2,3,4 in 2014-MT1, all problems in 2015-104-MT1, and all problems 2015-105-MT1 


Week 3: continue on lines, planes, then study how to sketch cylinders and quadric surfaces (skip surfaces of revolution, you can read it yourselves), an introduction to multivariable functions. Sections 10.5, 10.1, and 12.1 from the primary textbook. Raw notes: Sep19 Sep21 Sep23. Filled notes: Sep19 Sep21 extra-week3 Sep23
These topics correspond to Sections 12.5, 12.6, and 14.1 in Stewart’s book. Highly recommended problems: same as Week 2.


Week 4: continue on multivariable functions, brief discussion on limits and continuity, partial derivatives, total differentials, linear approximations, and tangent planes. Sections  12.1, 12.2, 12.3, and 12.4 from the primary textbook (and Sections 14.3 and 14.4 in Stewart’s book). Raw notes: Sep26 Sep28 Sep30. Filled notes: Sep26 Sep28 Sep30

These topics correspond to Sections 14.1, 14.2, 14.3, and 14.4 in Stewart’s book. Highly recommended problems: problems in past finals such as Problem 1(d) in 2013-WT1, Problem 2(ii) in 2015-WT1, Problem 2 in 2011-WT2, and Problem 1(b)(c) in 2011-WT1; problems in past midterms (posted above) such as Problem 6(a)(b) in 2014-MT1, Problem 1 in 2014-MT2 and Problem 1(a)(b) in 2015-104-MT2; problems from STEWART: Section 14.1: 59-64, Section 14.3: 10, 22, 50, 77, Section 14.4: 3, 5, 17, 19, 21, 28.


Week 5: continue on tangent planes, linear approximations, and differentials, multivariable chain rule (and formulas for implicit differentiation applying multivariable chain rule). Sections 12.4 and 12.5 APEX (and Sections 14.4 and 14.5 in Stewart’s book). Raw notes: Oct03 Oct05 Oct07. Filled notes: Oct03 Oct05 Oct07

These topics correspond to Sections 14.4 and 14.5 in Stewart’s book. Highly recommended problems: problems on Chain Rule as in Week 6.


Week 6: finish the formulas for implicit differentiation using chain rule, start on directional derivatives. Sections 12.5 and 12.6 APEX (and Sections 14.5 and 14.6 in Stewart’s book). Raw notes: Oct12. Filled notes: Oct12

These topics correspond to Sections 14.5 and 14.6 in Stewart’s book. Highly recommended problems: posted later


Week 7: directional derivatives, gradient vectors, directional tangent lines, tangent planes of level surfaces, normal lines, max-min. Sections 12.6, 12.7, and 12.8 APEX (and Sections 14.6 and 14.7 in Stewart’s book). Raw notes: Oct17 Oct19 Oct21. Filled notes: Oct17 Oct19