Lectures schedule (L01)

Tutorials schedule (T01/T02)

Tuesday/Thursday
12:3013:45
(TRB 101)

T01: W,
12:00pm, MS 371, 50min T02: M, 2:00pm, SB 105, 50min 
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 9, 2006) and 5 Quizzes.
Final
Exam:
April 22(Saturday), 2006,
8:0011:00am, ST 127
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 9,
2006, TRB 101

Quizzes (5)

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

Q#1Jan23(T02)/Jan25(T01); Q#2Feb13(T02)/Feb15(T01);
Q#3Mar 13(T02)/Mar15(T01);
Q#4Mar27(T02)/Mar29(T01);
Q#5Apr10(T02)/Apr12(T01)

Final Exam  50%  April 22nd
(Saturday), 8:00am, PlaceST 127 
Month 
Day 
Tuesday 
Day 
Thursday 
Jan 
10 
Lec1:
Course Outline. Linear
Systems of Ordinary Differential Equations (LSODE). Introduction. Basic
Theory of Homogeneous LSODE. 
12  Lec2:
Basic Theory of LSODE II and Constant Coefficients Homogeneous
LSODE.I 
Jan 
17 
Lec3:
Constant Coefficients
Homogeneous LSODE. II. Repeated and Complex Eigenvalues. Appendix (Real Distinct, Repeated and Complex Eigenvalues, Matrix 3x3) 
19 
Lec4: Variation of Parameters of Nongomogeneous LSODE. (Examples, matrix 2x2). 
Jan 
24 
Lec5:
Functions of Several
Variables. Examples: Domain, Range, Graphs.I. (ppt) Review: Vectors, Surfaces, Planes and Curves in 3Dspaces. 
26 
Lec 6:
Domains, Range, Graphs, Level Curves, Limits and Continuity, Examples.
(pdf) 
JanFeb 
31 
Lec7: Partial Derivatives, Tangent Planes, Examples. Linear Approximation, Differentials, HirgherOrder DEs. I.  2 
Lec8:
Partial Derivatives,
Tangent Planes, Examples. Linear Approximation, Differentials,
HirgherOrder DEs. II (continuation of Lecture 7). 
Feb 
7 
Lec9:
The Chain Rule, Examples.
Gradients. 
9 
Lec10:
Gradients and Directional
Derivatives. Examples. 
Feb 
14 
Lec11:
Implicit Functions,
Taylor Formula, Examples. 
16 
Lec12:
Taylor Formula,
Examples.II.
Examples of Partial Differential Equations. 
Feb 
21 
Reading
Week (no classes) 
23 
Reading
Week (no classes) 
FebMar 
28 
Lec13:
Double Integrals.
Exercises. Repeated (Iterated) Integrals. Examples. 
2 
Lec14:
Double Integrals in Polar
Coordinates. 
Mar 
7 
Lec15:
Line Integrals, Evaluating Line Integrals, Examples. 
9 
Lec16: Midterm. 
Mar 
14 
Lec17:
Standard Version of
Green's Theorem. Triple Integrals I. 
16 
Lec18:
Green's Theorem and Triple Integrals. II. Examples. 
Mar 
21 
Lec19:
Triple Integrals with
Cylindrical and Spherical Coordinates, Examples. 
23 
Lec20:
Vector Fields. Surfaces in 3D spaces. Examples. 
Mar 
28 
Lec21:
Surfaces Integrals.
Evaluating of Surface
Integrals. Examples 
30 
Lec22:
Evaluating of Surface Integrals. II. 
Apr 
4 
Lec23: Oriented Surfaces and Surface Integrals.  6 
Lec24:
Vector Calculus: Gradient, Divergence, Curl, Gauss
Theorem, Examples. 
Apr 
11 
Lec25:
Stokes Theorem, Examples. I 
13 
Lec26:
Stokes Theorem, Examples.
II.
Course Review. 

