Lectures schedule (L02)

Tutorials schedule (tut4tut5)

Monday/Wednesday/Friday
13:0013:50
(SB 142)

Monday (tut4) 10:0010:50am
(MS371)A. Swishchuk Tuesday (tut3) 13:0013:50am (MS427)V. Dixon 
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 12, 2010) 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%

13:0013:50,
Friday, March 12,
2010, SB 142

Quizzes (5)

20%

#1Jan25/26; #2Feb8/9; #3Mar 1/2; #4Mar22/23; #5Apr5/6
(Mon/Tue,10:0010:50am/13:0013:50,
MS371/427)

Final Exam  50%  Thursday, April 22, 8:0011:00am, ST 141 
Month 
Day 
Monday 
Day 
Wednesday 
Day 
Friday 
Jan 
11 
Lec1:
Course
Outline. Linear
Systems of Ordinary Differential Equations (LSODE).
Introduction. Review of Linear Systems. Examples and Exrcises. 
13 
Lec2:
Basic
Theory of Homogeneous LSODE. Here: Example Exercises. 
15 
Lec3:
Constant
Coefficients Homogeneous LSODE. Here: Example Exercises 
Jan 
18 
Lec4: Constant Coefficients Homogeneous LSODE. Symmetric Matrix 3x3.  20 
Lec5:
Constant
Coefficients
Homogeneous LSODE. Repeated Eigenvalues. Exercises. 
22 
Lec6:
Constant
Coefficients
Homogeneous LSODE. Complex Eigenvalues. Example. Example (continuation) Exercises 
Jan 
25 
Lec7:
Variation
of Parameters of LSODE. Here: Example Example (cont.) Example and Exercises 
27 
Lec8:
Geometric
Properties of Solutions of LSODE when n=2. Phase Plane Analysis 
29 
Lec9:
Functions
of Several
Variables. 
Feb 
1 
Lec10:
Examples:
Domain, Range, Graphs, Level Curves, Limits and Continuity. 
3 
Lec11:
Partial
Derivatives, Tangent Planes, Examples. 
5 
Lec12:
Linear
Approximation, Differentiability, Differentials,
HigherOrder Partial Derivatives, Examples. 
Feb 
8 
Lec13:
The
Chain Rule, Examples. 
10 
Lec14:
Gradients
and Directional Derivatives I, Examples. Review of Vector Geometry in 3D 
12 
Lec15:
Gradients
and Directional Derivatives II, Examples. 
Feb 
15 
Reading Week  17 
Reading Week  19 
Reading Week 
Feb 
22 
Lec16: Implicit Functions, Taylor Formula.  24 
Lec17: Examples of Partial Differential Equations I.  26 
Lec18: Examples of Partial
Differential Equations II. 
Mar 
1 
Lec19:
Double
Integrals. Exercises. 
3 
Lec20:
Repeated
(Iterated)
Integrals. 
5 
Lec21:
Double
Integrals in Polar Coordinates. 
Mar 
8 
Lec22:
Line
Integrals I. 
10 
Lec23:
Line
Integrals II. 
12 
Midterm 
Mar 
15 
Lec24: Standard Version of Green's Theorem.  17 
Lec25:
Triple
Integrals I (By Inspection). 
19 
Lec26:
Triple
Integrals II (By Iteration). 
Mar 
22 
Lec27:
Triple
Integrals with
Cylindrical Coordinates. 
24 
Lec28:
Triple
Integrals with Spherical Coordinates I. 
26 
Lec29. Triple Integrals with Spherical Coordinates II. 
MarApr 
29 
Lec30:
Vector
Fields. 
31 
Lec31:
Surface
Integrals. Evaluation. 
2 
Good FridayNo Lecture 
Apr 
5 
Lec32:
Surface
Integrals II, Examples. 
7 
Lec33: Oriented Surfaces and Surface Integrals.  9 
Lec34:
Vector
Calculus: Gauss
Theorem 
Apr 
12 
Lec35:
Gauss TheoremII. 
14 
Lec36:
Stokes Theorem I. 
16 
Lec37: Stokes Theorem II. 
1) Marks
for Final Exam and Unofficial Final Grades 2) Final Exam: Thursday, April 22, 8:0011:00am, ST 141 (Bring in your ID) 3) USRI is running Online this term between April 1 and April 16. Please, evaluate this course. Thank you. 4) Official Formula Sheet 