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

(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  

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. 

Grading:   

 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

Policies:

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

Academic honesty:

The University of Alberta is committed to the highest standards of academic integrity and honesty. Students are expected to be familiar with these standards regarding academic honesty and to uphold the policies of the University in this respect. Students are particularly urged to familiarize themselves with the provisions of the Code of Student Behavior (online at www.ualberta.ca/secretariat/appeals.htm) and avoid any behavior which could potentially result in suspicions of cheating, plagiarism, misinterpretation of facts and/or participation in an offence. Academic dishonesty is a serious offence and can result in suspension or expulsion from the University.

Help:

The Department of Mathematical & Statistical Sciences runs a free "walk-in" math help clinic every week day from 9am until 3pm in ED 751.

The Mathematics & Applied Sciences Centre, located in E6-050 of ETLC, provides an extra help program. Their phone number is 492-6272 and their email address is MASC@ualberta.ca They offer tutorial sessions and midterm and final exam prep classes. 

Students with learning disabilities will find that the University has a friendly, well organized office dealing with these issues. The web site is http://www.ualberta.ca/ssds.