### Announcements and lecture summary

Links to old announcements and lecture summary.
12.02
• Office hours during exam period: 4-5pm on Tue Dec 6, Thu Dec 8 and Fri Dec 9, Tue Dec 13 3-5pm.

• Old homework assignments and midterm exams are placed in folders outside of my office.

• Comments from TA on H9:
• I marked three questions of HW9: Problems 1 (7pts),5 (6pts),& 9 (7pts). For problem 5, there seemed to be some confusion about what was to be shown: Some students only computed the divergence integral, but without comparing it to the surface integrals. There was some difficulty with finding the correct bounds of integration.
• For problem 9, the most important point I felt which wasn't clearly indicated is that the divergence theorem can be applied with the surface S_2 (rather than S), *precisely because the surface is closed*.

### Homework sets and Exams

Week
Date
Homework sets and Exams Solutions
1
Wed 09.07
first lecture

2
Wed 09.14

3
Wed 09.21
H1 (§13.1-13.2)
practice §13.2: 2, 6, 8, 14, 18, 20, 22, 24, 26, 34, 36, 38, 42, 48, 51
h1s
ps13.2
4
Wed 09.28
H2 (§13.3)
practice §13.3: 2, 6, 12 (setup, but do not evaluate the integral), 14, 18, 24, 28, 30, 33, 38, 50, 52, 56
h2s
ps13.3
5
Wed 10.05
Midterm Exam 1
It covers §13.1-§13.4 and §16.1. It will not cover decomposition of acceleration and Kepler's Law in §13.4.
Formulas for MT1, 2013 MT1 and its solution.
solution
6
Wed 10.12
H3 (§13.4, §16.1, half §16.2)
practice §13.4-§16.1: §13.4 14, 16, 24, 26   §16.1: 4, 6, 12, 14, 16, 18, 22, 24, 26, 30, 32
practice §16.2: 2, 4, 6, 8, 12, 16, 18, 20, 28, 34, 40, 42, 45, 51
h3s
ps13.4-16.1
ps16.2
7
Wed 10.19
H4 (part of §16.2 and §16.3)
practice §16.3: 2, 4, 8, 12, 14, 16, 18, 20, 24, 28, 30, 31, 32, 33, 34
h4s
ps16.3
8
Wed 10.26
H5 (part of §16.3 and §16.4)
practice §16.4: 4, 6, 8, 10, 12, 14, 18, 22, 24, 28
h5s
ps16.4
9
Wed 11.02
H6 (part of §16.4 and whole §16.5)
practice §16.5: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 30, 32
h6s
ps16.5
10
Wed 11.09
Midterm Exam 2
It covers §16.2-§16.6. MT2 will not cover the proof of Green Theorem in §16.4, in particular the concept of "simple regions". MT2 will also not cover the vector forms of the Green Theorem, which is included in §16.5 to make connnection to later sections (16.8 and 16.9).
Formulas and rules for MT2
partial list of H7 on §16.6
2013 MT2 and its solution. It would be a waste if you only take the old exam as a source of practice problems. You should find 50 minutes to write the old exam and see how well you do, and which topics you need to review.
solution
11
Wed 11.16
H7 (§16.6 and part of §16.7)
practice §16.6: 4, 6, 14, 16, 18, 20, 21, 24, 26, 34, 36, 42, 44, 45, 49, 50
practice §16.7: 6, 8, 10, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 40, 44
h7s
ps16.6
ps16.7
12
Wed 11.23
H8 (part of §16.7 and 16.8)
practice §16.8: 2, 4, 6, 8, 10, 14, 16, 18, 20
h8s
ps16.8
13
Wed 11.30
H9 (part of §16.8 and 16.9)
practice §16.9: 2, 4, 6, 8, 10, 12, 14, 18, 20, 24
h9s
ps16.9

Thu 12.15
Final Exam
Thursday December 15, 8:30am-11am GEOG 100.
It covers §13.1-§13.4 and §16.1-§16.9. The final exam will not cover the proofs of Green, Stokes or Divergence Theorem, in particular the concept of "simple regions". It will not cover decomposition of acceleration and Kepler's Law in §13.4.
Office hours during exam period: 4-5pm on Tue Dec 6, Thu Dec 8 and Fri Dec 9, Tue Dec 13 3-5pm.
Formulas and rules for final exam
April 2013 exam and its solution.
April 2001 exam and its solution.
April 2003 exam and its solution.
Math Learning Centre
Math Department exam archive, in particular Dec 2011 final in last lecture
UBC Math Club exam packages with solutions.

* Practice homework and exams may not cover exactly the same sections

### Course Description

• Instructor:   Dr. Tai-Peng Tsai, Math building room 109, phone 604-822-2591, ttsai at math.ubc.ca

• Lectures:   MWF 10am-10:50am, Buchanan A203

• Office hours:   Tue 10:30-11:50am, Wed 11:00-11:50am, Thu 2:00-2:50pm, and by appointment (Tsai's schedule).

• Course outline:   pdf file.

• Textbook:   Multivariable Calculus, 8th edition, by James Stewart. Earlier editions are acceptable, as assignments will be posted.

• UBC Calendar description:   MATH 317: Parametrizations, inverse and implicit functions, integrals with respect to length and area; grad, div, and curl, theorems of Green, Gauss, and Stokes. Prerequisite: One of MATH 200, MATH 226, MATH 253. MATH 221 is recommended.