Math 253 - 2014W Term 1, September-December 2014

Instructor in Charge:Gordon Slade (also Section 101 instructor)
Email:slade (at) math (dot) ubc (dot) ca
Office:MATX 1211
Section 101 Office Hours:M 10:00-10:50, W 13:00-13:50, F 9:00-9:50
Section 101 Lectures:MWF 11:00-11:50 - location: Math 100
Other sections: Section 102 Nicoḷ Sibilla
Section 103 Dale Peterson
Section 105 Baptiste Devyver

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 am.

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.

There are also 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.



Course calendar, assignments

Reload this page regularly for updates.


Week 1 (Sep 3--5): Introduction, three dimensional coordinate systems, vectors, dot product (12.1, 12.2, 12.3)

Due Wednesday Sep 10, 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 8--12): Cross product, equations of lines and planes, cylinders, and quadric surfaces (12.4, 12.5, 12.6)

Due Friday Sep 12: WeBWork Assignment 1. Written Assignment 1: 12.1: 36, 12.2: 34, 12.3: 56, 60. Solutions.

Practice problems:
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 15--19): Functions of several variables (14.1). Omit 14.2.

Due Friday Sep 19: WeBWork Assignment 2. Written Assignment 2: 12.4: 44, 46; 12.5: 76; 12.6: 48. Solutions.

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


Week 4 (Sep 22 -- 26): Partial derivatives, tangent planes and linear approximation (14.3, 14.4).

Due Friday Sep 26: WeBWork Assignment 3. Written Assignment 3: 12.6: 46, 14.1: 40, 50, 54. Solutions.

Practice problems:
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 (Sep 29 -- Oct 3): Tangent planes and linear approximations (continued), Chain rule (14.5)

Due Friday Oct 3: WeBWork Assignment 4. Written Assignment 4: 14.3: 78, 88; 14.4: 36, 38. Solutions.
Midterm next week.

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


Week 6 (Oct 6 -- 10): Directional derivatives and gradient (14.6)

No assignment due this week.

Midterm 1, October 8, 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.
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 15 -- 17): Maximum and minimum values, Lagrange multipliers (14.7, 14.8)

Due Friday Oct 17: WeBWork Assignment 5. Written Assignment 5: 14.5: 36, 44; 14.6: 30, 54. Solutions.

Practice problems:
Something new: Due to popular demand, there will be additional optional WeBWork. The optional WeBWork 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.
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 20 -- 24): Lagrange multipliers continued, double integrals over rectangles, iterated integrals (14.8, 15.1, 15.2)

Due Friday Oct 24: WeBWork Assignment 6. Written Assignment 6: 14.7: 46, 52; 14.8 12, 36. Solutions.

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


Week 9 (Oct 27--31): Iterated integrals continued, double integrals (15.2, 15.3)

Due Friday Oct 31: WeBWork Assignment 7. Written Assignment 7: 15.2: 8, 22, 28, 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 3--7): Double integrals in polar coordinates, applications (10.3, 15.4, 15.5)

Due Friday Nov 7: WeBWork Assignment 8. Written Assignment 8: 15.3: 36, 48, 52, 54. 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 10--14): Applications of double integrals continued, surface area (15.5, 15.6)

No assignment due this week.

Midterm 2, Nov 12, 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.
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.

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


Week 12 (Nov 17--21): Surface area continued, triple integrals (15.6, 15.7)

Due Friday Nov 21: 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 24--28): Triple integrals in cylindrical and spherical coordinates (15.8, 15.9)

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.

Due Friday Nov 28: WeBWork Assignment 10.
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 mandatory, not optional as usual.

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


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.