MATH 331 (Winter 2005)
"Multivariate Calculus"
Course Outline
Instructor:
Anatoliy Swishchuk
E-mail: aswish@math.ucalgary.ca
Office: MS552
Tel.: (403) 220-3274
Office Hours: M: 11:00am-12:00pm; W:14:00pm-15:00pm
Teaching Assistant:
Garth Boucher
E-mail: garth@math.ucalgary.ca
Office: MS348
Tel.: (403) 220-4819

Place:  ST  147
Lectures Schedule and Tutorials
 Lectures schedule (lec2) Tutorials  schedule (tut3-tut5) Monday/Wednesday/Friday  13:00-13:50  (ST 147) Monday (tut5) 10am-10:50am (MS319)  Tuesday (tut3) 13:00-13:50 (MS427)  Tuesday (tut4)  13:00-13:50 (MS317)
Syllabus:
1)   Systems of linear ordinary differential equations;
2)   Functions of several variables, graphs and level curves;
3)   Partial derivatives, differentiability and gradient;
4)   Repeated partial derivatives, the chain rule;
5)   The tangent plane, directional derivatives;
6)   Examples of partial differential equations;
7)   Double integrals, repeated integrals;
8)   Polar coordinates;
9)   Green's theorem, line integrals;
10) Triple integrals;
11) Cylindrical and spherical coordinates;
12) Vector fields;
13) Gauss theorem;
14) Stockes theorem
Important Class Dates:
First day of class: 13:00, Monday, January 10, 2005;
Quiz # 1: January 31 (tut5,M,MS319)/February 1 (tut3,T,MS427;tut4,T,MS317), 2005;
Quiz # 2: February 28 (tut5,M,MS319)/March 1 (tut3,TMS427;tut4,T,MS317), 2005;
Midterm: 13:00, Friday, March 11, 2005, ST 147;
Quiz # 3: March 14 (tut5,M,MS319)/March 15 (tut3,TMS427;tut4,T,MS317), 2005
Quiz # 4: March 28 (tut5,M,MS319)/March 29 (tut3,T,MS427;tut4,T,MS317), 2005
Quiz # 5: April 11 (tut5, M,MS319)/April 12 (tut3,TMS427;tut4,T,MS317), 2005
Last day of class: April 15, 2005.
Winter Session Final Examinations: April 19-30, 2005;
Final Exam: April 28, 2005, 8:00am-11:00am, ST147.

Recommended texts:
1) "Calculus. A Complete Course" by Robert A. Adams, Fifth Edition, 2003, Pearson Education Canada Inc., Toronto, Ontario;
2) "Elementary Differential Equations" by William F. Trench, 2000, Brooks/Cole, Pasific Grove, USA.

Course Web Page:
The current official syllabus for this course is available in the wall pockets across from MS 476 and
on the webpage at www.math.ucalgary.ca Course Listing-Undergraduate.
There is also a web page for this course which contains the course outline, tentative course schedule,  grading scheme, important class dates, etc.
Announcements made in class will be posted there (see end of this web-page). The address of this web page is: http://www.math.ucalgary.ca/~aswish/math331.html/

Class work:
In-class lectures with typical examples (lecture notes will be posted on the webpage in the form of pdf-files
);

Midterm and Quizzes:
There will be 1 Midterm (March 11, 2005) and 5 Quizzes.

Final Exam:
It will cover all the materials covered in this course.