MATH 209 - Calculus III (Fall 2010)

Time and Location

Section EB1:

Time: MWF 9:00 - 9:50
Room: CEB 251

Section EG1:

Time: MWF 13:00 - 13:50
Room: CSC B-2

Instructor

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

Office hours

MWF 10:00 - 12:00 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 THIS week. Please get your lab manual from CAB 680, daily until next Monday between 8:30 and 16:30.
1	Wed 8 Sep	Introduction - What is multivariable calculus? Definition, domain, and range.	Please review the material from first-year calculus, as needed. Sincere apologies to anyone enrolled in the lab EB4: The lab instructor could not make it this week. However, the lab will run as planned, starting next week. Once again, sorry for the inconvenience!
2	Fri 10 Sep	Graph, and level sets. Examples.	See [St] Sec. 14.1 for more examples.
			Weekly Summary #1.
3	Mon 13 Sep	Limits and continuity.	[St] Sec. 14.2.
4	Wed 15 Sep	Examples of limits and continuity. Partial derivatives.	[St] Sec. 14.3.
5	Fri 17 Sep	Higher partial derivatives. Tangent planes and normal vectors.	[St] Sec. 14.3./14.4.
			Weekly Summary #2.
6	Mon 20 Sep	Differentials. The Chain Rule.	[St] Sec. 14.4./14.5.
7	Wed 22 Sep	Examples. Directional derivatives.	[St] Sec. 14.5./14.6.
8	Fri 24 Sep	The gradient. Examples.	[St] Sec. 14.6./14.7.
			Weekly Summary #3.
9	Mon 27 Sep	Critical points. The Second-derivative Test.	[St] Sec. 14.7.
10	Wed 29 Sep	Examples. The method of Lagrange Multipliers.	[St] Sec. 14.7./14.8. There was another problem with the lab EB4 today. Sorry for the inconvenience, and thanks to those who reported the problem. The lab instructor will make up for the lost time.
11	Fri 1 Oct	Examples.	[St] Sec. 14.8.
			Weekly Summary #4.
12	Mon 4 Oct	More examples. Definition of double integrals.	[St] Sec. 14.8./15.1.
13	Wed 6 Oct	Iterated integrals. Examples of double integrals.	[St] Sec. 15.2.
14	Fri 8 Oct	More examples.	[St] Sec. 15.2./15.3.
			Weekly Summary #5.
	Mon 11 Oct	No class.	Happy Thanksgiving !
15	Wed 13 Oct	Double integrals in polar coordinates.	[St] Sec. 15.4.
	Thu 14 Oct		Do not forget: Midterm review session, 5-7 pm in ETLE 1-001.
16	Fri 15 Oct	Examples.	[St] Sec. 15.4.
	Sat 16 Oct	Midterm test ! Please see left box for details.	Good luck !!
			Weekly Summary #6.
17	Mon 18 Oct	Applications of double integrals. Centre of mass.	[St] Sec. 15.5.
18	Wed 20 Oct	Examples. Moments of inertia and radii of gyration.	[St] Sec. 15.5.
19	Fri 22 Oct	More examples.	[St] Sec. 15.5.
			Weekly Summary #7.
20	Mon 25 Oct	Definition of triple integrals.	[St] Sec. 15.6.
21	Wed 27 Oct	Applications of triple integrals. Examples.	[St] Sec. 15.6.
22	Fri 29 Oct	Triple integrals in cylindrical coordinates.	[St] Sec. 15.7.
			Weekly Summary #8.
23	Mon 1 Nov	Triple integrals in spherical coordinates.	[St] Sec. 15.8.
24	Wed 3 Nov	Examples of curves.	[St] Sec. 10.1./10.2.
25	Fri 5 Nov	Arc length of curves. Examples of surfaces.	[St] Sec. 13.3./16.6.
			Weekly Summary #9.
26	Mon 8 Nov	Line integrals along curves.	[St] Sec. 16.2.
27	Wed 10 Nov	Surface integrals.	[St] Sec. 16.7.
	Fri 12 Nov	No class.	Remembrance Day Weekend.
			Weekly Summary #10.
28	Mon 15 Nov	Applications of surface integrals. Vector fields.	[St] Sec. 16.7./16.1.
29	Wed 17 Nov	Conservative vector fields. Div and Curl.	[St] Sec. 16.1./16.5.
30	Fri 19 Nov	Line integrals of vector fields.	[St] Sec. 16.2.
			Weekly Summary #11.
31	Mon 22 Nov	Examples of line integrals.	[St] Sec. 16.2.
32	Wed 24 Nov	Line integrals of conservative vector fields.	[St] Sec. 16.2./16.3.
33	Fri 26 Nov	Surface integrals of vector fields. Examples.	[St] Sec. 16.7.
			Weekly Summary #12.
34	Mon 29 Nov	Green's Theorem. Examples.	[St] Sec. 16.4.
35	Wed 1 Dec	Stokes' Theorem. Examples.	[St] Sec. 16.8.
36	Fri 3 Dec	Divergence Theorem.	[St] Sec. 16.9.
			Weekly Summary #13.
37	Mon 6 Dec	Examples for Gauss' Theorem.	[St] Sec. 16.9.
38	Wed 8 Dec	More examples. Final examination details.	[St] Sec. 16.9.
			Weekly Summary #14.

			Good bye and good luck !!

	Fri 10 Dec		Special MATH 209 office hours: 10am - 5pm in CAB 683.
	Fri 17 Dec		Special MATH 209 office hours: 10am - 5pm in CAB 683.
	Mon 20 Dec		Do not forget: Final review session, 5-7 pm in CCIS 1-430.
	Wed 22 Dec	Final exam ! Please see box on the left for details.	Good luck !!

Homework

Three words about cheating:

Don't Do It !!

Midterm test

The midterm will be held on Saturday, October 16, 2010 at 9:00 am. If you are enrolled in section EB1 (i.e. the morning section), then you will write your midterm in NRE 2-001; if you are enrolled in section EG1 (i.e. the afternoon section), then you will be in NRE 2-003.

A midterm review session will be held for all sections on Thursday, 14 Oct, 5-7 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)

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].
Questions: approximately 30% multiple choice questions and 70% long answer questions.
Some questions will be taken directly form the homework.
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: 62.4 (of 80)

Final exam

The final exam will be held on Wednesday, December 22, 2010 at 2:00 pm in the Pavilion.

The following rows have been reserved for you:

10 and 12 (EB1),
14 and 16 (EG1).

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.
Questions: approximately 30% multiple choice questions and 70% long answer questions.
Some questions will be taken directly form the homework.
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 Monday, 20 Dec, 5:00-7:30 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)

Other material

Need further help? Throughout the semester, the Department is offering help sessions.

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.