Math 253 - 2015W Term 1, September-December 2015

Instructor in Charge:Dr. Gordon Slade (also Section 101 instructor)
Email:slade (at) math (dot) ubc (dot) ca
Office:MATX 1211
Section 101 Office Hours:M 14:00-14:50, W 13:00-13:50, F 10:00-10:50
Section 101 Lectures:MWF 11:00-11:50 - location: Math 100
Other sections: Section 102 Dr. Colin Macdonald
Section 103 Dr. Ben Krause
Section 105 Dr. Mathav Murugan

Information about the textbook, the topics, the marking scheme, and policies can be found in the Course Outline.
A detailed weekly syllabus is given below. The material below applies to all sections.

Mathematics Learning Centre

There is help available at the MATHEMATICS LEARNING CENTRE (MLC), a drop-in tutorial centre for undergraduate Math courses located in the Leonard S. Klinck (LSK) Building. It is open long hours Monday through Friday. Check the MLC website for details.


Homework

There will be two kinds of graded homework: WeBWorK and written assignments from the textbook. Both types of assignment will be due on Fridays at 11:00 a.m., with the first due on Friday September 18.

WeBWorK assignments can be found here. You will need to log on with your Campus Wide Login. For most problems, you will have an unlimited number of attempts and will not be penalized for incorrect attempts, so you can continue to work until you have it correct. Use the email instructor button for any questions (mathematical or otherwise) regarding WeBWorK. The "instructor" is not the instructor giving lectures, but is Fan Bai who is a teaching assistant dedicated to help with WeBWorK.

There will be nine written homework assignments, due at the beginning of class at 11:00 on Fridays, which will be graded. The assignments will be listed in the weekly schedule below. Late assignments will not be accepted.

Optional recommended problems: There will be suggested practice problems from the book which will not be collected or marked for credit.
You are encouraged to do lots of problems, this is the best way to learn the subject.
There will also be optional WeBWorK, which will not count towards your mark for the course. Initially its due date will be the same as the required WeBWorK assignment. Answers will become available at the due date, and then the optional WeBWorK will reopen until the Final Exam.



Course calendar, assignments

Reload this page regularly for updates.


Week 1 (Sep 9 -- 11): Introduction, three dimensional coordinate systems, vectors, dot product (12.1, 12.2, 12.3)

Due Wednesday Sep 16, 5:00pm: WeBWorK Assignment 0 (does not count for a grade, intended to get you used to WeBWorK). No written assignment this week.

Practice problems:
12.1: 1-15 (odd), 19a, 23, 27, 29, 33, 35, 37, 41, 43;
12.2: 1, 3, 5, 9, 11, 13, 19-31 (odd), 35, 37, 39, 41;
12.3: 1, 3, 5, 7, 11, 13, 15, 19, 23, 25, 27, 35, 37, 47, 57


Week 2 (Sep 14 -- 18): Cross product, equations of lines and planes, cylinders, and quadric surfaces (12.4, 12.5, 12.6)

Due Friday Sep 18 11:00am: WeBWorK Assignment 1. Written Assignment 1: 12.1: 38, 12.2: 40, 12.3: 56, 58. Solutions.

Practice problems:
WeBWorK Assignment 1 Optional
12.4: 1, 3, 7, 9, 11, 15, 23, 25, 41;
12.5: 1, 3, 5, 13, 19, 25, 27, 31, 33, 43, 45, 49, 57, 61;
12.6: 1-9 (odd), 11, 13, 15, 21-28, 29, 33, 35, 41, 50.


Week 3 (Sep 21 -- 25): Functions of several variables (14.1). Omit 14.2.

Due Friday Sep 25: WeBWorK Assignment 2. Written Assignment 2: 12.4: 42, 50; 12.5: 64; 12.6: 48. Solutions.

This MATH 200 webpage has animations that illustrate various topics of MATH 253. You might find it useful to consult; its section references are to Stewart 7th edition.

Practice problems:
WeBWorK Assignment 2 Optional
14.1: 1, 3, 5, 11-19 (odd), 23, 30, 35, 37, 39-45 (odd), 55, 57, 59, 61, 63.


Week 4 (Sep 28 -- Oct 2): Partial derivatives, tangent planes and linear approximation (14.3, 14.4).

Due Friday Oct 2: WeBWorK Assignment 3. Written Assignment 3: 12.6: 44, 14.1: 52, 60, 62, 64. Solutions.

Practice problems:
WeBWorK Assignment 3 Optional
14.3: 1, 3, 5, 7, 9, 11, 15-37 (odd), 39, 41, 43, 45, 47, 49, 51-67 (odd), 71, 72, 73, 81, 87;
14.4: 1-5 (odd), 11, 13, 15, 17, 19, 25, 27, 29, 31, 33, 37, 41.


Week 5 (Oct 5 -- Oct 9): Tangent planes and linear approximations continued, Chain rule (14.5)

Due Friday Oct 9: WeBWorK Assignment 4. Written Assignment 4: 14.3: 76, 88; 14.4: 18, 40. Solutions.
Midterm next week.

Practice problems:
WeBWorK Assignment 4 Optional
14.5: 1-11 (odd), 13, 17, 19, 21, 23, 25, 27-33 (odd), 35, 39, 45, 51, 53.


Week 6 (Oct 14 -- 16): Directional derivatives and gradient (14.6)

No assignment due this week.

Midterm 1, October 14, held in class. Solutions to Midterm 1.
You must write the test in the section in which you are registered, and bring your UBC ID card. No aids of any kind are permitted during the test (no calculators, papers, etc.)
Midterm will cover up to Section 14.4 (omit Section 14.2). Midterm problems will be of the sort you have seen in: WeBWorK 1-4, Written Assignments 1-4, Practice Problems up to and including Section 14.4.
Additional practice material for Midterm 1:
Here are some old homework assignments with solutions. Not all their problems are relevant, the relevant problems are as follows:
# 3, 5, 7, 8 of Set 1,
# 1, 2, 3, 4, 5, 6, 7 of Set 2,
# 2, 3, 4, 5, 6, 7 of Set 3,
# 1, 2, 8, 11 of Set 4.
Here are some midterms from previous years:
Midterm 1 2012, Solutions to Midterm 1 2012, Midterm 1 2013, Solutions to Midterm 1 2013.

Practice problems:
14.6: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 37, 39, 41, 43, 47, 53, 55, 61.


Week 7 (Oct 19 -- 23): Directional derivatives and gradient continued, Maximum and minimum values, Lagrange multipliers (14.7, 14.8)

Due Friday Oct 23: WeBWorK Assignment 5. Written Assignment 5: 14.5: 42, 44; 14.6: 34, 50. Solutions.

Practice problems:
WeBWorK Assignment 5 Optional
14.7: 1, 3, 5-17 (odd) [find critical values only], 19, 29-35 (odd), 39, 41, 43, 45, 47, 49, 51;
14.8: 1, 3-17 (odd), 19, 25, 27-39 (odd), 41.


Week 8 (Oct 26 -- 30): Lagrange multipliers continued, double integrals over rectangles, iterated integrals (14.8, 15.1, 15.2)

Due Friday Oct 30: WeBWorK Assignment 6. Written Assignment 6: 14.7: 30, 34, 44, 50. Solutions.

Practice problems:
WeBWorK Assignment 6 Optional
15.1: 3a, 11, 13, 17;
15.2: 1-21 (odd), 25, 27, 29, 35.


Week 9 (Nov 2 -- 6): Iterated integrals continued, double integrals (15.2, 15.3)

Due Friday Nov 6: WeBWorK Assignment 7. Written Assignment 7: 14.8: 10, 20; 15.2: 26, 30. Solutions.

Practice problems:
WeBWorK Assignment 7 Optional
15.3: 1, 3, 5, 7-27 (odd), 31, 39-49 (odd), 51, 55;


Week 10 (Nov 9 -- 13): Double integrals in polar coordinates, applications (10.3, 15.4, 15.5)

Due Friday Nov 13: WeBWorK Assignment 8. Written Assignment 8: 15.3: 30, 32, 44, 56. Solutions.
Midterm next week.

Practice problems:
WeBWorK Assignment 8 Optional
10.3: 1, 3, 5, 7, 9, 11, 15, 19, 25, 29, 31;
15.4: 1, 3, 5, 7-13 (odd), 15, 17, 19-27 (odd), 29, 31, 33, 35, 37;
15.5: 1, 3-9 (odd), 11, 13, 15, 17, 21, 23.


Week 11 (Nov 16 -- 20): Applications of double integrals continued, surface area (15.5, 15.6)

No assignment due this week.

Midterm 2, Nov 18, held in class. Solutions to Midterm 2.
You must write the test in the section in which you are registered, and bring your UBC ID card. No aids of any kind are permitted during the test (no calculators, papers, etc.)
Midterm will cover Sections 14.5 to 15.3 (inclusive) but of course relies also on earlier topics. Midterm problems will be of the sort you have seen in: WeBWorK 5-8, Written Assignments 5-8, Practice Problems Sections 14.5-15.3 (inclusive).
Additional practice material for Midterm 2:
Here are some old homework assignments with solutions. Not all their problems are relevant, the relevant problems are as follows:
# 3-7, 9, 10, 12-14, 16, 17 of Set 4,
# 1-4, 5a of Set 5,
# 1-8 of Set 6,
# 1, 2 of Set 7.
Here are some midterms from previous years:
Midterm 2 2012, Solutions to Midterm 2 2012, Midterm 2 2013, Solutions to Midterm 2 2013, Midterm 2 2014, Solutions to Midterm 2 2014.

Practice problems:
15.6: 1-23 (odd).


Week 12 (Nov 23 -- 27): Surface area continued, triple integrals (15.6, 15.7)

Due Friday Nov 27: WeBWorK Assignment 9. Written Assignment 9: 15.4: 28, 36; 15.5: 20, 24. Solutions.

Practice problems:
WeBWorK Assignment 9 Optional
15.7: 1-29 (odd), 33, 35.


Week 13 (Nov 30 -- Dec 4): Triple integrals in cylindrical and spherical coordinates (15.8, 15.9)

Due Friday Dec 4: WeBWorK Assignment 10. No written assignment.
Note: Section 15.9 is not covered in WeBWorK Assignment 10, but is a possible topic for the Final Exam. You should regard the Practice Problems for Section 15.9 as required, not optional as usual. The topic of Section 15.9 is also treated in WeBWorK Assignment 10 Optional, which despite its name should be regarded as required even though it does not count toward your grade.

Practice problems:
WeBWorK Assignment 10 Optional
15.8: 1-31 (odd);
15.9: 1-35 (odd), 39, 44 (answer=2464).



Course Evaluation: Please take a few minutes now and complete the evaluation for MATH 253. Your evaluations really do make a difference. We use your feedback to assess and improve our teaching; Heads and Deans look at evaluation results as an important component of decisions about reappointment, tenure, promotion and merit for faculty members; and evaluations are used to shape Departmental curriculum. Please help us make the course effective by telling us what works well and what can be improved.

Final Exam: The final exam will be based on all topics of the course, with 50% of the marks devoted to integration.
Here are some old final exams to assist with your studying: 2007, 2009, 2010, 2011, 2012, 2012 Solutions, 2013, 2014.
Solutions to exams other than 2012 are not available.