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MATH 209 - Calculus III (Section EG1, Fall 2011)


Time and Location

Time: MWF 1:00 - 1:50 pm
Room: CSC B-2


Instructor

Dr. Arno Berger (CAB 683, aberger@math.ualberta.ca)


Office hours

MWF 2:30 - 4:00 pm or by appointment.


Syllabus

Please see this PDF document for all relevant details concerning MATH 209.


Material covered in class (Course Diary)

I plan to keep an up-to-date list of the topics, examples etc. covered in class. Unless stated otherwise, reference numbers refer to our textbook, J. Stewart Calculus: Early Transcendentals (6th ed.), henceforth abbreviated as [St].

Lecture # Date Material covered / special events Remarks/ additional material
    WELCOME TO
MATH 209 !!
 Labs start NEXT week.

Please get your lab manual from CAB 680, daily until next Friday between 8:30 am and 4:30 pm.
1 Wed
7
Sep 		Introduction - What is multivariable calculus?
Definition, domain, and range. 		Please review the material from first-year calculus, as needed.
2 Fri
9 Sep 		Graph, and level sets.
Examples. 		See [St] Sec. 14.1 for more examples.
      Weekly Summary #1.
3 Mon
12 Sep 		Limits and continuity. [St] Sec. 14.2.
    The MATH 209 homework has gone live - see the box on the left for details. Please go to WebAssign and self-enrol into our section (EG1). For this you'll need the Class Key found here (on page 9). Once enrolled, you can start working on your homework. There is a 14-day grace period after which you'll require your personal Access Code for further access.
4 Wed
14 Sep 		Examples of limits and continuity.
Partial derivatives. 		[St] Sec. 14.3.
5 Fri
16 Sep 		Higher partial derivatives.
Examples. 		[St] Sec. 14.3.
      Weekly Summary #2.
6 Mon
19 Sep 		Differentials. [St] Sec. 14.4.
7 Wed
21 Sep 		The Chain Rule. Examples. [St] Sec. 14.5.
8 Fri
23 Sep 		Directional derivatives.
The gradient. 		[St] Sec. 14.6./14.7.
      Weekly Summary #3.
9 Mon
26 Sep 		Critical points. [St] Sec. 14.7.
10 Wed
28 Sep 		The Second-derivative Test. Examples. [St] Sec. 14.7./14.8.
11 Fri
30 Sep 		Lagrange Multipliers. Examples. [St] Sec. 14.8.
      Weekly Summary #4.
12 Mon
3 Oct 		More examples on Lagrange Multipliers. [St] Sec. 14.8.
13 Wed
5 Oct 		Definition of double integrals.
Iterated integrals. 		[St] Sec. 15.1.
14 Fri
7 Oct 		Examples of double integrals. [St] Sec. 15.2.
      Weekly Summary #5.
Mon
10 Oct 		No class. Happy Thanksgiving !
15 Wed
12 Oct 		More examples. [St] Sec. 15.2./15.3.
Wed
12 Oct 		Do not forget:
Midterm review session, 5-7 pm in CCIS 1-430.
16 Fri
14 Oct 		Double integrals in polar coordinates. [St] Sec. 15.4.
Sat
15 Oct 		Midterm test !

Please see box on the left for details. 		Good luck !!
      Weekly Summary #6.
17 Mon
17 Oct 		Examples. Applications of double integrals. [St] Sec. 15.5.
18 Wed
19 Oct 		Centre of mass.
Examples. 		[St] Sec. 15.5.
19 Fri
21 Oct 		Moments of inertia and radii of gyration. [St] Sec. 15.5.
      Weekly Summary #7.
20 Mon
24 Oct 		Definition of triple integrals. [St] Sec. 15.6.
21 Wed
26 Oct 		Applications of triple integrals.
[St] Sec. 15.6.
22 Fri
28 Oct 		Examples.
Cylindrical coordinates. 		[St] Sec. 15.6./15.7.
      Weekly Summary #8.
23 Mon
31 Oct 		Triple integrals in cylindrical coordinates.
Spherical coordinates. 		[St] Sec. 15.7.
24 Wed
2 Nov 		Examples.
[St] Sec. 15.8.
25 Fri
4 Nov 		Curves and surfaces.
Arclength. 		[St] Sec. 10.1./10.2./13.3./16.6.
      Weekly Summary #9.
26 Mon
7 Nov 		Examples of surfaces.
Surface area. 		[St] Sec. 16.6.
27 Wed
9 Nov 		Vector fields. [St] Sec. 16.1.
Fri
11 Nov 		No class. Remembrance Day Weekend.
      Weekly Summary #10.
28 Mon
14 Nov 		Line integrals along curves. [St] Sec. 16.2.
29 Wed
16 Nov 		Line integrals of vector fields. [St] Sec. 16.2.
30 Fri
18 Nov 		Examples of line integrals.
 [St] Sec. 16.2.
      Weekly Summary #11.
31 Mon
21 Nov 		Conservative vector fields, again. [St] Sec. 16.3.
32 Wed
23 Nov 		Green's Theorem. [St] Sec. 16.4.
33 Fri
25 Nov 		Examples of surface integrals.
 [St] Sec. 16.7.
      Weekly Summary #12.
34 Mon
28 Nov 		Integrating vector fields over surfaces. [St] Sec. 16.7.
35 Wed
30 Nov 		Examples. Stokes' Theorem. [St] Sec. 16.8.
36 Fri
2 Dec 		Examples.
 [St] Sec. 16.8.
      Weekly Summary #13.
37 Mon
5 Dec 		Gauss' Theorem. Examples. [St] Sec. 16.9.
38 Wed
7 Dec 		More examples of Gauss' Theorem.
Final examination details. 		[St] Sec. 16.9.
      Weekly Summary #14.
Good bye and good luck !!
Wed
14 Dec 		Special MATH 209 office hours:
10am - 3pm in CAB 683.
Tue
20 Dec 		Do not forget:
Final review session, 2-4 pm in ETLE 1-001.
Wed
21 Dec 		Special MATH 209 office hours:
10am - 3pm in CAB 683.
Thu
22 Dec 		Final exam !

Please see box on the left for details. 		Good luck !!

Homework

Homework problems are being posted weekly on WebAssign.

Please see this PDF document, especially if you haven't used WebAssign before. The document also contains (on page 9) the Class Key that you'll need (once) to create your account. Please note that our section is EG1 - it is important that you select the correct section!

You have two attempts for every homework problem. Correct answers on second attempts are worth 80%.

Three words about cheating:

    Don't Do It !!

Midterm test

The midterm will be held on Saturday, October 15, 2011 at 9:00 am. You will write the midterm in MEC 2-3.

A midterm review session will be held for all sections on Wednesday, 12 Oct, 5-7 pm in CCIS 1-430. Please make an effort to attend!
The material for this review session can be found here. (Solutions: Part 1, Part 2)

Need additional practice? Two more old miterms are here and here.

The Math and Applied Sciences Centre is also offering several review sessions.

Some details about the midterm:

  • Duration: 90 minutes; multiple choice answers will be collected after 60 minutes.
  • Material covered: Up to, and including, Lagrange multipliers, i.e., all of Chapter 14 in [St].
  • NO calculators, formula sheets etc.!
  • NO cell-phones, i-pods, or other electronics!
  • Please bring a valid ID with you.
  • Good luck!

Midterm test - Solutions

Midterm test average:

52.8 (of 80), i.e. about 66%


Final exam

The final exam will be held on Thursday, December 22, 2011 at 2:00 pm in the Pavilion.

The following rows have been reserved for you (section EG1):

  • 23 and 25.

Please make sure you are seated in one of the correct rows.

Some details concerning the final:

  • Duration: 120 minutes; multiple choice answers will be collected after 90 minutes.
  • Material covered: Chapters 15 and 16 of [St], as covered in class.
  • NO calculators, formula sheets etc.!
  • NO cell-phones, i-pods, or other electronics!
  • Please bring a valid ID with you.
  • Good luck!

A review session will be held for all sections on Tuesday, 20 Dec, 2:00-4:00 pm in ETLE 1-001. Please make an effort to attend!
The material for this review session can be found here. (Solutions: Part 1, Part 2)

Below are the final exams from previous years. You should have a close look at them as this year's exam will be very similar. The two most recent exams will be discussed in the review session.

In addition, the Math and Applied Sciences Centre is offering a Final Exam Review.

Other material

Your integration skills are a bit rusty? The Math and Applied Sciences Centre is running a Review of Integration Techniques.

Here are some MATH 209 notes from Dr. Allegretto's section(s). Even though the material is not completely identical, you may find it useful, especially when preparing for a test or exam.