Lectures schedule (lec2)

Tutorials schedule (tut3tut5)

Monday/Wednesday/Friday
13:0013:50
(ST 147)

Monday (tut5) 10am10:50am
(MS319) Tuesday (tut3) 13:0013:50 (MS427) Tuesday (tut4) 13:0013:50 (MS317) 
Class
work:
Inclass lectures with typical examples (lecture notes will be posted
on
the webpage in the form of pdffiles);
your computer must have an Adobe Acrobat reader (for free downloading
see www.adobe.com).
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.
Grading scheme (Course Evaluation):
Exam, Midterm and Quizzes

Value (% of your final mark)

Dates

Midterm

30%

March 11,
2005

Quizzes (5)

20%=5x4%
(4% for each quiz)

#1Jan31/Feb01/05; #2Feb28/Mar01/05; #3Mar 14/Mar15/05;
#4Mar28/29/05; #5Apr11/Apr12/05

Final Exam  50%  April 28, 2005,
8:00am11:00am, ST147 
Month 
Day 
Monday 
Day 
Wednesday 
Day 
Friday 
Jan 
10 
Lec1:
Course Outline. Linear
Systems of Ordinary Differential Equations (LSODE).
Introduction. Examples and Exercises. 
2 
Lec2:
Basic Theory of Homogeneous LSODE. Examples and Exercices 
4 
Lec3:
Constant Coefficients Homogeneous LSODE. I. Here: Examples and Exercises 
Jan 
17 
Lec4: Constant Coefficients Homogeneous LSODE.I.  19 
Lec5:
Constant
Coefficients
Homogeneous LSODE.II. Here: Exercises 
21 
Lec6:
Constant Coefficients
Homogeneous LSODE.III. Here: Examples and Exercises. 
Jan 
24 
Lec7:
Variation of Parameters of LSODE. Here: Examples and Exercises. 
26 
Lec8:
Geometric Properties of Solutions of LSODE when n=2. Review of Lectures 17. 
28 
Lec9:
Functions of Several
Variables. 
JanFeb 
31 
Lec10:
Examples: Domain, Range, Graphs, Level Curves, Limits and Continuity. 
2 
Lec11:
Partial Derivatives, Tangent Planes, Examples. Figures. 
4 
Lec12:
Linear Approximation, Differentiability, Differentials,
HigherOrder Partial Derivatives, Examples. 
Feb 
7 
Lec13:
The Chain Rule, Examples. 
9 
Lec14:
Gradients and Directional Derivatives I, Examples. 
11 
Lec15:
Gradients and Directional Derivatives II, Examples. 
Feb 
14 
Lec16:
Implicit Functions,
Taylor Formula. 
16 
Lec17:
Examples of Partial Differential Equations I. 
18 
Lec18:
Examples of Partial Differential Equations II. Review of Lectures 917. 
Feb 
21 
Reading
Week 
23 
Reading
Week 
25 
Reading
Week 
FebMar 
28 
Lec19:
Double Integrals. Exercises. 
2 
Lec20:
Repeated (Iterated)
Integrals. 
4 
Lec21:
Double Integrals in Polar Coordinates. 
Mar 
7 
Lec22:
Line Integrals I. 
9 
Lec23:
Line Integrals II. 
11 
Midterm 
Mar 
14 
Lec24: Standard Version of Green's Theorem.  16 
Lec25:
Triple Integrals I. 
18 
Lec26:
Triple Integrals II. 
Mar 
21 
Lec27:
Triple Integrals with
Cylindrical Coordinates. 
23 
Lec28:
Triple Integrals with Spherical Coordinates I. 
25 
Good
Friday (no classes) 
MarApr 
28 
Lec29:
Vector Fields. 
30 
Lec30:
Surface Integrals. Evaluation. 
1 
Lec31:
Evaluating of Surface
Integrals II. 
Apr 
4 
Lec32: Oriented Surfaces and Surface Integrals.  6 
Lec33: Vector Calculus: Gauss Theorem  8 
Lec34:
Gauss Theorem II. 
Apr 
11 
Lec35:
Stokes Theorem I. 
13 
Lec36:
Stokes Theorem II. 
15 
Lec37: Course Review 
1) Final
Exam's Marks are Available 2) Unofficial Final Grades are Available 