Lectures schedule (lec01)

Tutorials schedule (tut01/02)

Monday/Wednesday/Friday
10:0010:50
(ENA 101)

Thursday (tut01): 9:3010:45 (ICT 114) (A. Pratt) Thursday (tut02): 9:3010:45 (A 142) (L. Chan) 
The
Midterm Exam covers the first 3 (three) Chapters of the text.
Final
Exam:
Covers all the materials in this course.
Grading scheme (Course Evaluation):
Exam, Midterm and Quizzes

Value (% of your final mark)

Dates

Midterm

25%

November
1, 2005 (Tuesday), 6:30pm. (RoomENA 201)

Quizzes (best 5 of 6)

25%

Q1:Sept22;Q2:Oct 6;Q3:Oct 27;Q4:Nov17,Q5:Dec1,Q6: Dec 8 
Final Exam  50%  December 17
(Saturday), 3:30pm, Red Gym 
Month 
Day 
Monday 
Day 
Wednesday 
Day 
Friday 
Sept  12 
Lec1: Course Outline. Introduction I: Some Basic Math Models, Direction Fields, Equilibrium Solutions. (Sec.1.1). Useful Algebra Review.  
Lec2:
Introduction II: Solutions of Some DEs. Sec 1.2. 
16 
Lec3: Classification of DEs, Examples. (Sec. 1.3). Useful DEs Review. 
Sept 
19 
Lec4: 1st
Order Linear ODEs. (Sec. 2.1). 
21 
Lec5:
Separable DEs. (Sec.2.2). 
23 
Lec6:
Modeling with 1st Order DEs. (Sec. 2.3). 
Sept 
26 
Lec7:
Existence and Uniqueness of Solutions: Linear and Nonlinear Equations,
Examples. (Sec. 2.4). 
28 
Lec8:
Autonomous Equations and Population Dynamics I. (Sec.2.5). 
30 
Lec9:
Autonomous Equations and Population Dynamics II. (Sec.2.5). 
Oct 
3 
Lec10:
Autonomous ODEs and Population Dynamics III: Examples. (Sec.2.5). 
5 
Lec11:
Exact Equations and Integrating Factors. ( Sec.2.6). Useful 1st
Order ODEs Review 
7 
Lec12: Numerical
Approximations: Euler's Methods, Example.(Sec. 2.7) 
Oct 
10 
Thanksgiving
Day (No classes) 
12 
Lec13: Second
Order ODEs. (Sec.3.1). 
14 
Lec14:
Wronskian, Fundamental Set of Solutions. (Sec.3.2). 
Oct 
17 
Lec15: Linear Independence and Wronskian. (Sec.3.3).  19 
Lec16: SOLHDE: Complex Roots of Characteristic Equation. (Sec.3.4).  21 
Lec17: SOLHDE
(Constant Coefficients): Repeated Roots of Characteristic Equation).
(Sec. 3.5). 
Oct 
24 
Lec18: Second Order Linear Nonhomogeneous DEs; Method of Undetermined Coefficients. (Sec.3.6).  26 
Lec19: Second Order Linear Nonhomogeneous DEs; Variation of Parameters. (Sec3.7).  28 
Lec20:
Applications of SOLNHDEs: Mechanical and Electrical Vibrations.
(Sec. 3.8). Useful
Chapters 34 Review. 
OctNov 
31 
Lec21:
Higher Order Linear DEs. (Sec. 4.1). Review Session: Chapters 13. 
2 
Lec22: Homogeneous Linear DEs with Constant Coefficients. Sec. 4.2  4 
Lec23: Review of Power Series. Sec.5.1 
Nov 
7 
Lec24: Series Solution Near an Ordinary Point. I. (Sec. 5.15.2).  9 
Lec25: Series Solution Near an Ordinary Point. II. (Sec. 5.3).  11 
Reading
Day (no classes) 
Nov 
14 
Lec26: Regular Singular Points. (Sec. 5.4).  16 
Lec27: Euler Equations. (Sec. 5.5) Review Module: Series Solutions of DEs  18 
Lec28: The
Laplace Transform (Sec. 6.1). Laplace Transform Table. 
Nov 
21 
Lec29:
Solution of IVP using the LT. (Sec. 6.2). 
23 
Lec30:
Step Functions and LT (Sec. 6.3). Review
Module on LT. 
25 
Lec31:
Sec. LT and ILT: Examples (6.1.6.3). 
NovDec 
28 
Lec32:
Systems of 1st Order Linear DEs (Sec. 7.4) Review
Module on Linear Systems 
30 
Lec33: Homogeneous Linear Systems with Constant Coefficients(HLSCC) (Sec. 7.5).  2 
Lec34: HLSCC: Complex Eigenvalues (Sec. 7.6). 
Dec 
5 
Lec35: HLSCC: Repeated Eigenvalues (Sec. 7.8).  7 
Lec36:
Fundamental, Exponential, Diagonalizable Matrices (Sec. 7.7). 
9 
Lec37: Course Review. 