# 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.
[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.

#### 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.

• 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.

#### 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.