Lectures schedule (Lec01)

Tutorials schedule
(Tut07&Tut08)

Monday/Wednesday/Friday
14:0014:50 (ENA 101)

Tut07:
ST 141, R 14:0015:15Kamrujjaman, Md. Tut08: EDC 386, R 14:0015:15Shirvani, Pooyan (November 10, 2011 (No Tutorial)Reading Day ) 
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 (November 1, 2011) (evening)
Final Exam:
Saturday,
December 17, 12:003:00pm (roomAUX GUM)
(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%

November 1, 2011, Tuesday (1.5 h between
6:308:00pm)

Webwork Homework

15%

during the
semester

Final Exam  50%  Saturday, December 17, 12:003:00pm (roomAUX GYM) 
Month 
Day 
Monday 
Day 
Wednesday 
Day 
Friday 
Sept  12 
Lec1: Course Outline. Introduction to Differential Equations (DEs), Examples of DEs  14 
Lec2: The Form of an nth Order DEs, Initial Value Problem, Solution  16 
Lec3: Direction Fields 
Sept 
19 
Lec4: Introduction to the 1st order DEs  21 
Lec5: 1st Order Linear Nonhomogeneous DEs. Solution of the IVP.  23 
Lec6: Intro to Mathematical Models: Mixing and Cooling Problems 
Sept 
26 
Lec7: Intro to Mathematical Models: Population Dynamics and Radioactive Decay  28 
Lec8:
1st Order Nonlinear DEs. Bernoulli DEs. 
30 
Lec9: Separable 1st Order DEs 
Oct 
3 
Lec10:
Exact DEs. Making a DE Exact. 
5 
Lec11: Numerical Methods: Euler's Method  7 
Lec12: Intro to the 2nd Order Linear DEs (SOLDEs) 
Oct 
10 
Thanksgiving (No Lectures) 
12 
Lec13:
The General Solution of
Homogeneous SOLDEs 
14 
Lec14: Constant Coefficient
Homogeneous Equations 
Oct 
17 
Lec15: Real Repeated Roots; Reduction of Order. (Abel's Theorem).  19 
Lec16: Complex Roots  21 
Lec17: The General Solution of a Linear Nonhmogeneous Equation 
Oct 
24 
Lec18: The Method of Undetermined Coefficients  26 
Lec19: The Method of Variation of Parameter  28 
Lec20: Higher Order Linear Homogeneous and Nonhomogeneous DEs; CE and CP 
OctNov 
31 
Lec21: Higher Order Linear Homogeneous DEs: Variation of Parameters  2 
Lec22: Intro to 1st Order Linear Systems I  4 
Lec23: Homogeneous 1st Order Linear Systems 
Nov 
7 
Lec24: Constant Coefficient Homogeneous Systems (CCHLS): Real Distinct Roots of CE  9 
Lec25: CCHLS: Complex Eigenvalues  11 
Reading Day 
Nov 
14 
Lec26: CCHLS: Repeated Eigenvalues  16 
Lec27: Nonhomogeneous Linear Systems (NHLS): Constructing a General Solution  18 
Lec28: NHLS: Fundamental Matrices and the Variation of Parameters formula 
Nov 
21 
Lec29:
Intro to Laplace Transform
(LT). List of LT (see below) 
23 
Lec30:
The Method of Partial Fractions Partial Fractions' Table (see below) 
25 
Lec31: Step Functions and LT 
NovDec 
28 
Lec32: Intro to Power Series. The Maclaurin Series for Several Functions 
30 
Lec33: Intro to Series Solutions of
Linear DEs I: Singular and Ordinary Points 
2 
Lec34: Intro to Series Solutions of Linear DEs II. 
Dec 
5 
Lec35: Series Solutions Near a Regular Ordinary Point  7 
Lec36: Series Solutions Near a Regular Ordinary Point II  9 
Lec37:
Regular Singular Points. 
Final Exam Marks (see also Blackboard) MDT Marks Table of Laplace Transforms Table of Partial Fractions 
Important Course Information WebWork: http://webwork.ucalgary.ca/webwork2/F2011AMAT307L04/ 