Multivariable Calculus for Engineering Students

Mathematics 69.204, Section C, Winter, 2002.

Last Revised: April 14, 2002

Detailed Class Outline

 

Using CHAT	Who's the Prof?	Do I know enough?	What must I know?
Classes Begin	Where are the lectures?	Textbook(s)	Can I use a Calculator?
Will I pass?	When's the Supplemental Exam?	I wanna drop this!	Prof's Office Hours
Tutorials	FAQ on Tutorials	Where's a tutor?	When's the next Holiday?

 
 

Week 1	Fourier Series-Motivation Fourier Series Formulae	Fourier Series Notes (No Diagrams)  Exercises on Fourier Series	Homework
Week 2	Tutorial 1a + answers Tutorial 1b + answers	Remarks on  Fourier Coefficients Page 2 on  Fourier Coefficients	Homework
Week 3	Geometric idea of continuity A typical tangent plane  Another tangent plane   Answers to  Tutorial 3	Notes on Lines and Planes Notes on Curves and Surfaces (Revised) Exercises on tangent lines and normal planes Exercises on tangent planes and normal lines	Homework
Week 4	Test 1 + answers	Notes on polar coordinates Exercises   Plots in polar coordinates Remarks on  Polar Coordinates Remarks 2 on  Polar Coordinates Remarks 3 on  Polar Coordinates When to use Polar Coordinates?	Homework
Weeks 5 and 6	Tutorial 2a + answers	Useful Formulae in this Course Exercises Cylindrical and Spherical Coordinates Exercises on describing regions in polar and cartesian coordinates	Homework
Week 7	Answers to  Tutorial 4	Useful Formulae in this Course Exercises	Homework
Week 8	Answers to  Test 2	Answers to Tutorial 5 Exercises	Homework
Week 9	Answers to  Test 3	Answers to Tutorial 5 Exercises	Homework
Week 10	Jacobians I  and all that. Jacobians II  and all that. TEST 4 Test 4 Answers	Complete Study Guide Tutorial 6 Answers Exercises	Homework
Week 11	Sample Final Exam Answers to B5 and B6	Complete Study Guide Tutorial 6 Answers Exercises	Homework
Week 12	REVIEW MATERIAL: QUIZZES	Complete Study Guide Tutorial 6 Answers Exercises	Homework

Detailed class schedule

INSTRUCTOR:
Dr. Angelo B. Mingarelli,
Herzberg Physics Office #4250
Tel/Fax: (613) 520 3534
Electronic mail : angelo@math.carleton.ca
Photograph : Just in case you don't want to come to class...

Office Hours: TBA

TEXTBOOK(S): Compulsory: Edwards and Penny's Multivariable Calculus (packaged with Fourier Series).

Optional: In case you forgot your Methods of Integration, or Inverse functions, see my Calculus book currently used in 69.104 (also available in the Bookstore $59.95 + GST).

TOPICS COVERED:
(From the Fourier Series) Sections 9.1,2,3;
From the Textbook: 10.1, 2, 3, 4, 5;  12.1, 2, 3, 4, 5, 6, 8;  13 (all);  14 (all);  15.1,2,3

PREREQUISITES:
The prerequisites for this course are:
69.105 or 207, and 69.114 or 117.
Students who have not passed the prerequisite courses may be automatically de-registered during the term. Those that have done poorly in the prerequisites are strongly urged to take 69.105 before attempting 69.204. Do get advice from the instructor or from the Mathematics Undergraduate Advisor Ken Small, in 4380 Herzberg Building.
 

EVALUATION
Your grade will be calculated either as:
(i) Term Mark 40%;
(ii) Final Examination 60%
OR,
(iii) Final Examination 100%, whichever is better.
In any event, your final course grade is the larger of the two numbers: A and B where A=(i)+(ii) and B=(iii).

The term mark (40%) will be derived from:

• 4 term tests: Best 3 chosen for a total of 40% of your Final Mark

SUPPLEMENTAL EXAMINATION
No Supplemental examinations
 

CALCULATORS
You may use a non-programmable calculator for the examinations and tests in this course, although it is not necessary.
The Sharp 531-L is available at the Bookstore for $19.95 + Tax.
 

WITHDRAWAL
If you decide to leave the course before the end of term, it is much better, in terms of your academic career, to formally withdraw from the course than to simply ignore it and get an F.
 

CLASSES BEGIN:
Thursday, January 3, 2002

IMPORTANT DATES

LECTURE SCHEDULE:

Mondays, 416 Southam, 12:30 p.m.
Wednesdays, 416 Southam, 11:30 a.m.
Thursdays, 416 Southam, 1:30 p.m.

TUTORIALS:

All tutorials are held on Thursdays at 4:30 p.m. and will begin January 17 in various locations depending on your section and the first letter of your family name (surname, cognome(n)), more on this later:

• Tutorial 1: Al Z- Moham., T.A. name: Thomas Maloley,  Room 520 Southam Hall

Tutorial 2: Mohan- Z,  T.A. name: Yanjuan Cheng,  Room 502 Southam Hall - Office Hours:  Tue. 14:30--15:30   HP4367

Where do I go? This depends on your section letter and/or on the first letter of your family name; see the preceding paragraph for details about which room you'll go to.

Do I HAVE to go? I recommend that you go: Lots of extra questions will be answered there. If all you want to do is write the final exam, then that's OK, too; see the EVALUATION item above.

Who is my T.A.? Look above under Tutorials or go the required class and ask him/her.

STATUTORY HOLIDAY: March 29, 2002.University closed. NO UNDERGRADUATE CLASSES.

WINTER BREAK: Feb. 18-22, 2002

CLASSES END: April 4, 2002

TUTORIAL CENTRE:

Please note that the mathematics TUTORIAL CENTRE , in Herzberg Physics Building, Room 4385, will be opening around Jan. 15th, 2002

Hours for the Centre:
Monday to Thursday: 10 am to 4pm
Evening hours to be announced.
Tutors advertise frequently on the Notice Boards around the Centre.
 

Detailed Class Outline

Winter, 2002

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