Math 209 C1

Calculus III

Fall 2005

MWF 900 -950

V120

Dr. Thomas Hillen

Associate Professor

phone: 492-3395

e-mail: thillen@ualberta.ca

University of Alberta

Department of Mathematical and

Statistical Sciences

Assignments
 No posted on due date Assignment Solutions 1 Sep 12 Sep 22, 12 noon solutions #1 2 Sep 19 Sep 29, 12 noon Assignment# 2 .pdf solutions #2 3 Sep 26 Oct 06, 12 noon Assignment # 3. pdf solutions #3 4 Oct 03 Oct 13, 12 noon Assignment # 4.pdf solutions #4 5 Oct 10 Oct 20, 12 noon Assignment canceled 5 Oct 17 Oct 27, 12 noon Assignment #5.pdf solutions #5 6 Oct 24 Nov 03, 12 noon Correction problem 7:  use spherical coord. (not cylindrical) !! solutions #6 7 Oct 31 Due date changed to: Nov 17, 12 noon Assignment #7.pdf solutions#7 8 Nov 07 Nov 24, 12 noon Assignment #8.pdf solutions#8 9 Nov 14 Dec 01, 12 noon Assignment #9.pdf solutions#9 10 Nov 29 DO NOT HAND IN !! Assignment #10.pdf Note: Due to accumulation of midterm exams for the week of Oct 24 we decided to count the n-1 best assignments, which means for each student, we waive the worst assignment.  Late assignments will NOT be accepted !

(The .jnt-files can be viewed with Windows Explorer version 5.0 or higher, or you install the "Windows Journal Viewer".)

(14.4) Tangent Planes. Examples 1,2,3 (html), 14.4.jnt

(14.5) Chain Rules, 14.5.jnt

(14.6) Directional Derivatives 14.6.jnt,    (14.5), example 7, (14.6) examples 2 and 5, (14.7) example 1

(14.7)  Maximum and Minimum values 14.7.jnt,    Examples 3,4,     e4.jnt

(14.8) Lagrange Multipliers 14.8.jnt

(15.1) Double Integrals over Rectangles, 15.1.jnt

(15.2) Iterated Integrals, 15.2.jnt

(15.3) Double Integrals over General Domains, 15.3.jnt

(15.4) Double Integrals in Polar Coordinates

(15.5) Application of Double Integrals

(15.6) Surface Area

(15.7) Triple Integrals

(15.8) ... in cylindrical and spherical coordinates

(16.1) Vector Fields                                 dfield1.html

(16.2) Line Integrals

(16.3) Fundamental Theorem of Line Integrals

(16.4) Greens Theorem

(16.5) Curl and Divergence

(16.6) Parametric Surfaces                          para-surf1.html

(16.7) Surface Integrals

(16.8) Stokes Theorem

(16.9) The Divergence Theorem

 Final Exam: Saturday Dec 10, 9:00-11:00 AM,  Main Gym Review Questions  Review-solution1.pdf Review-solution2.pdf

 Midterm exam:  Midterm solution  (1. Krawcewicz, 2. van Roessel, 3. Dai, 4. Hillen, 5.Rivasplata, 6. Manjegani) LOCATION: ETLE 1-007 Sections (14.1)-(15.3). Saturday October 22, 2:00 PM, 90 inin Sample midterms can be found at the exam-collections of the Fac.of Eng. and the Dep. Math. Stat.Sci.

Outline

Instructor:

Dr. Thomas Hillen, phone: 492-3395, email: thillen@ualberta.ca

Office: CAB 575

Office hours: Wednesday, Thursday 3:00-5:00 PM, or by appointment.

Text:

James Stewart, Calculus, Early Transcendentals, 5th edition, sections 14, 15, 16.

H. Kharaghani and T. Hohn, Math 209 Lab Manual.  University of Alberta, 2nd ed., 1989.

Web-page:

www.math.ualberta.ca/~thillen/math209/math209.html

I will use WebCT  for grading.

Syllabus:

Partial differentiation, derivatives of integrals. Multiple integration using rectangular, cylindrical and spherical coordinates. Vector filed theory.

 Homework 10 % Lab 10 % Midterm exam: Saturday October 22, 2:00 PM 30 % Final exam: Saturday Dec 10, 9:00 AM 50 %

Deferred Exam: January 14, 900-1200, most likely in CAB 243 (but the location might change)

No calculators are allowed during the exams.

There will be no marks for class participation or in class presentations.

Homework:

There will be about 10 homework assignments of equal weight.

The assignments are due on Thursdays 12 noon in the assignment box, third floor in CAB. No late assignments will be accepted. I encourage you to work in teams of two. If you work in teams of two it will not be considered as dishonesty or cheating (see last item of the outline).  But each student has to hand in all solutions.

Tentative Schedule

 No Week of Section Labs 0 Sep 05 14.1, 14.2 - 1 Sep12 14.2, 14.3, 14.4 1 2 Sep 19 14.5, 14.6, 14.7 2 3 Sep 26 14.7, 14.8 3, A1 4 Oct 03 15.1, 15.2, 15.3 4 5 Oct 10 15.3, 15.4 5,6 6 Oct 17 15.5, 15.6 7 7 Oct 24 15.7, 15.8 8 8 Oct 31 16.1, 16.2, 16.3 9, A3 90 Nov 07 16.3, 16.4 10 10 Nov 14 16.5, 16.6 A2 11 Nov 21 16.7, 16.8 11 12 Nov 28 16.8, 16.9 12, 13 13 Dec 05 16.0, Review

Policies:

Policy about course outlines can be found in Section 23.4(2) of the University Calendar.