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MATH 209 - Calculus III (Section EC1, Fall 2014)


Time and Location

Time: MWF 9:00 - 9:50 am
Room: CCIS 1-140


Instructor

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


Office hours

MWF 2:30 - 4:00 pm


Syllabus

Please see this PDF document for all relevant details concerning MATH 209. (An abbreviated version of this document will be handed out in class.)


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 (7th 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 ($7, cash only).
1 Wed
3
Sep 		Introduction - What is multivariable calculus? Please review the material from first-year calculus, as needed.
    Once the MATH 209 homework has gone live, please go to WebAssign and self-enrol into our section (EC1). For this you'll need the Class Key (ualberta 9171 9395). Once enrolled, you can start working on your homework.
2 Fri
5 Sep 		Definition of functions of two variables; domain, range, and graph. Level sets.
Examples. 		See [St] Sec. 14.1 for more examples.
      Weekly Summary #1.
3 Mon
8 Sep 		Limits and continuity. [St] Sec. 14.2.
4 Wed
10 Sep 		Examples of limits and continuity. [St] Sec. 14.2.
    The MATH 209 homework has gone live, and your first assignment of homework is waiting for you, see the box on the left for details.
5 Fri
12 Sep 		Partial derivatives.
Examples. 		[St] Sec. 14.3.
      Weekly Summary #2.
6 Mon
15 Sep 		Differentials. [St] Sec. 14.4.
7 Wed
17 Sep 		The Chain Rule. Examples. [St] Sec. 14.5.
8 Fri
19 Sep 		Directional derivatives.
The gradient. 		[St] Sec. 14.6./14.7.
      Weekly Summary #3.
9 Mon
22 Sep 		Critical points. [St] Sec. 14.7.
10 Wed
24 Sep 		The Second-derivative Test. Examples. [St] Sec. 14.7./14.8.
11 Fri
26 Sep 		Lagrange Multipliers. Examples. [St] Sec. 14.8.
      Weekly Summary #4.
12 Mon
29 Sep 		More examples on Lagrange Multipliers. [St] Sec. 14.8.
13 Wed
1 Oct 		Definition of double integrals. [St] Sec. 15.1.
14 Fri
3 Oct 		Iterated integrals.
Examples of double integrals. 		[St] Sec. 15.2.
      Weekly Summary #5.
15 Mon
6 Oct 		More examples. Double integrals in polar coordinates. [St] Sec. 15.2./15.3./15.4.
16 Wed
8 Oct 		Examples. [St] Sec. 15.4.
17 Fri
10 Oct 		Applications of double integrals. [St] Sec. 15.5.
      Weekly Summary #6.
Mon
13 Oct 		No class. Happy Thanksgiving !
18 Wed
15 Oct 		Centre of mass.
Examples. 		[St] Sec. 15.5.
19 Fri
19 Oct 		Moments of inertia and radii of gyration. [St] Sec. 15.5.
      Weekly Summary #7.
20 Mon
20 Oct 		Definition of triple integrals. Examples. [St] Sec. 15.6.
21 Wed
22 Oct 		Applications of triple integrals. Examples.
[St] Sec. 15.6.
22 Fri
24 Oct 		Triple integrals in cylindrical coordinates.
Spherical coordinates. 		[St] Sec. 15.6./15.7.
      Weekly Summary #8.
23 Mon
27 Oct 		Triple integrals in spherical coordinates. [St] Sec. 15.8.
24 Wed
29 Oct 		More examples. [St] Sec. 15.8.
25 Fri
31 Oct 		Review questions.
A preview example of vector calculus. 		[St] Sec. 10.1.
      Weekly Summary #9.
Sat
1 Nov 		Midterm test !

Please see box on the left for details. 		Good luck !!
26 Mon
3 Nov 		Examples of curves. Arc-length. [St] Sec. 10.1./10.2.
27 Wed
5 Nov 		Examples of surfaces. Surface area. [St] Sec. 16.6.
28 Fri
7 Nov 		Integrating functions over curves and surfaces. [St] Sec. 16.2./16.7.
      Weekly Summary #10.
Mon
10 Nov 		No class. Remembrance Day Weekend.
29 Wed
12 Nov 		Vector fields.
Conservative vector fields. Divergence and Curl. 		[St] Sec. 16.1.

Marked midterm test returned - please see box on the left for details.
30 Fri
14 Nov 		Line integrals of vector fields. [St] Sec. 16.2.
      Weekly Summary #11.
31 Mon
17 Nov 		Examples of line integrals.
Conservative fields, again. 		[St] Sec. 16.2./16.3.
32 Wed
19 Nov 		Green's Theorem. [St] Sec. 16.4.
33 Fri
21 Nov 		Examples.
Motivating surface integrals of vector fields.
 [St] Sec. 16.7.
      Weekly Summary #12.
34 Mon
24 Nov 		Integrating vector fields over surfaces. [St] Sec. 16.7.
35 Wed
26 Nov 		Examples. Stokes' Theorem. [St] Sec. 16.8.
36 Fri
28 Nov 		Examples.
Motivating the Divergence Theorem. 		[St] Sec. 16.8./16.9.
      Weekly Summary #13.
37 Mon
1 Dec 		Gauss' Theorem. Examples. [St] Sec. 16.9.
38 Wed
3 Dec 		More examples of Gauss' Theorem.
Final examination details. 		[St] Sec. 16.9.
      Weekly Summary #14.
Good bye and good luck !!
Fri
12 Dec 		Special MATH 209 office hours:
10am - 3pm in CAB 683.
Mon
15 Dec 		Special MATH 209 office hours:
10am - 3pm in CAB 683.
Wed
17 Dec 		Special MATH 209 office hours:
10am - 3pm in CAB 683.
Thu
18 Dec 		Final exam !

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

Homework

Homework problems are being posted weekly on WebAssign.

Three words about cheating:

    Don't Do It !!

Midterm test

The midterm test will be held on Saturday, November 1st, 2014 at 1:00 pm. You will write the midterm in CCIS 1-140 (our usual class room; last names A - L) or CCIS 1-160 (last names M - Z).

The Decima Robinson Support Centre in CAB 528 is running specific Math 209 Midterm Review Sessions between 4:30 pm and 7:30 pm on Tuesday 28 October and Wednesday 29 October.

Need some practice material? The following is taken from old midterms: Midterm sample problems.

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

Some details about the midterm:

  • Duration: 90 minutes.
  • Material covered: Up to, and including, double integrals in polar coordinates, i.e., all of Chapter 14, as well as Sections 15.1-4 in [St].
  • Some questions may be multiple choice, to be answered on the scantron sheet provided.
  • 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

    Solutions have been posted on eClass.

Midterm test average:

30.97 (of 40), i.e. about 77.4%


Final exam

The final exam will be held on Thursday, December 18th, 2014 at 2:00 pm in the Pavilion (a.k.a. Butterdome).

The following rows have been reserved for you (section EC1):

  • 7, 9 and 11.

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

Some details concerning the final:

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

A sample final has been posted on eClass. Please review it carefully.

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

Other material

Need help? The Decima Robinson Support Centre in CAB 528 offers free drop-in help sessions, Monday to Friday, 9:00 am to 3:00 pm. It's a great, friendly place, though quite busy at times.

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