Lectures schedule (Lec01)

Tutorials schedule (Tut01)

Monday/Wednesday/Friday
9:009:50
(ENE 241)

Thursday (Tut01) 9:3010:45 (ENA 003) (A. Swishchuk) Thursday (Tut02) 9:3010:45 (ST 132) (A. Gezahagne) 
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:
There will be 1 Midterm (October 30, 2009), 6:157:45pm (ENA
201)
Final
Exam:
December 15, Tuesday,
15:3018:30, KN AUX GYM
(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

35%

October
30, 2009, Fri (1.5 h), 6:157:45pm (ENA 201)

Webwork Homework

15%

during the
semester

Final Exam  50%  December 15, Tuesday, 15:3018:30, KN AUX GYM 
Month 
Day 
Monday 
Day 
Wednesday 
Day 
Friday 
Sept  7 
Labour
Day 
9 
Lec1: Course Outline. Introduction to Differential Equations (DEs), Examples of DEs  11 
Lec2:
The
Form
of an nth Order
DEs, Initial Value Problem, Solution 
Sept 
14 
Lec3: Direction
Fields 
16 
Lec4:
Introduction
to the 1st order DEs 
18 
Lec5: 1st
Order Linear Nonhomogeneous DEs. Solution of the IVP. 
Sept 
21 
Lec6: Intro to
Mathematical
Models: Mixing and Cooling Problems 
23 
Lec7:
Intro to Mathematical Models: Population Dynamics and
Radioactive Decay 
25 
Lec8: 1st Order
Nonlinear DEs. Bernoulli DEs. 
SeptOct 
28 
Lec9: Separable
1st Order
DEs 
30 
Lec10:
Exact
DEs. Making a DE Exact. 
2 
Lec11:
Numerical
Methods: Euler's Method 
Oct 
5 
Lec12: Intro
to the 2nd Order Linear DEs (SOLDEs) 
7 
Lec13:
The
General Solution of Homogeneous SOLDEs 
9 
Lec14: Constant
Coefficient
Homogeneous Equations 
Oct 
12 
Thanksgiving Day  14 
Lec15: Real
Repeated Roots;
Reduction of Order. (Abel's Theorem). 
16 
Lec16:
Complex
Roots 
Oct 
19 
Lec17: The General Solution of a Linear Nonhmogeneous Equation  21 
Lec18: The Method of Undetermined Coefficients  23 
Lec19: The Method of Variation of Parameter 
Oct 
26 
Lec20:
Higher
Order Linear Homogeneous and Nonhomogeneous DEs; CE and CP 
28 
Lec21: Higher Order Linear Homogeneous DEs: Variation of Parameters  30 
Lec22: Intro to 1st Order Linear Systems I 
Nov 
2 
Lec23: Homogeneous
1st Order Linear
Systems 
4 
Lec24:
Constant
Coefficient Homogeneous Systems (CCHLS): Real Distinct Roots of CE 
6 
Lec25:
CCHLS:
Complex Eigenvalues 
Nov 
9 
Lec26:
CCHLS:
Repeated Eigenvalues 
11 
Reading
Day 
13 
Reading
Day 
Nov 
16 
Lec27: Nonhomogeneous Linear Systems (NHLS): Constructing a General Solution  18 
Lec28:
NHLS:
Fundamental Matrices and the Variation of Parameters formula 
20 
Lec29:
Intro to
Laplace Transform (LT). List of LT 
Nov 
23 
Lec30:
The Method of Partial
Fractions Partial Fractions' Table 
25 
Lec31:
Step Functions and LT 
27 
Lec32: Intro
to Power Series. The Maclaurin Series for Several Functions 
NovDec 
30 
Lec33: Intro to
Series
Solutions of Linear DEs I: Singular and Ordinary Points 
2 
Lec34: Intro
to Series
Solutions of Linear DEs II. 
4 
Lec35: Series
Solutions Near a Regular
Ordinary Point 
Dec 
7 
Lec36:
The
Euler Equation 
Link
to
the WebWork Assignments (use your UofC username and password) Midterm's Marks (out of 22) Midterm Test Answers Your Responses on Midterm Final Exam's Marks (out of 30) Final Exam Answers Your Responses on Final Final Marks (out of 100) Final Grades (Unofficial) 
DARC Tutorials' Schedules: 1. Tutorials (Dec711) 2. Tutorials (Dec1415) 10. Tutorial #10 (Thu, Dec 3, 9:3010:45am) 9. Tutorial #9 (Thu, Nov 26, 9:3010:45am) 8. Tutorial #8 (Thu, Nov 19, 9:3010:45am) No Tutorial on Nov 12: Reading Days (Nov 1113) 7. Tutorial #7 (Thu, Nov 5, 9:3010:45am) 6. Tutorial #6 (Thu, Oct 29,9:3010:45am) 5. Tutorial #5 (Thu, Oct 22,9:3010:45am) NoTutorial on Oct 15, Thu. 4. Tutorial #4 (Thu, Oct 8, 9:30am10:45am) 3. Tutorial #3 (Thu, Oct 1, 9:30am10:45am) 2. Tutorial #2 (Thu, Sept 24, 9:30am10:45am) 1. Tutorial #1 (Thu, Sept 17, 9:30am10:45am) Interactice Differential Equations 