(from 9-Jan-2012 to 13-Apr-2012)
INSTRUCTOR: Professor Hao Wang, Department of Mathematical & Statistical Sciences, CAB 539, Phone: 780-492-8472, Email: hao8@ualberta.ca
LECTURE TIME & LOCATION: 12:00-12:50pm on Monday, Wednesday & Friday in CAB 273.
OFFICE HOURS: 1:00-2:00pm on Monday, Wednesday & Friday (or else by appointment).
TEXTBOOK: The Qualitative Theory of Ordinary Differential Equations: An Introduction (1969 edition) by Fred Brauer and John A. Nohel.
SECTION URL: http://www.math.ualberta.ca/~hwang/Math432Winter2012.htm
EXAMINATION POLICY: The Midterm exam will be in class on Wednesday, February 29th.
There will be no deferred midterm exam.
The Final Exam will be on Wednesday April 25th 2012 from 2:00pm until 4:00pm in CAB 273. For those eligible, the deferred final exam is arranged through their Faculty Office. The deferred final exam will be written on Saturday May 5th 2012 from 9:00am until 11:00am in CAB 357. Warning: It is your responsibility to confirm all the details associated with the time and location of the deferred final exam. I play no role in determining any aspect of these particular details. It is official University policy that failure to know where and when a deferred exam is to be held is not an acceptable excuse for missing it (i.e., a non-appealable final-exam grade of zero will be assigned).
THE USE OF CALCULATORS & COMPUTERS IS NOT PERMITTED IN THE EXAMS.
COURSE DESCRIPTION: The principal purpose of this course is to provide an introduction to elementary existence and uniqueness theorems, systems of equations, stability, and phase plane analysis. Prerequisite: MATH 334 or 336. The course covers most of the material from chapters 1, 2 and 4 in the textbook.
HOMEWORK ASSIGNMENTS: The assignment problems will be posted in class and on my MATH 432 website. Late assignments will not be marked and a grade of zero will be assigned.
GRADING: Assignments (25%), Midterm (25%) and Final Examination (50%).
An overall course mark of 60% or more guarantees a passing grade of at least D.
Academic Integrity: The University of Alberta is committed to the highest standards of academic integrity and honesty. Students are expected to be familiar with these standards regarding academic honesty and to uphold the policies of the University in this respect. Students are particularly urged to familiarize themselves with the provisions of the Code of Student Behaviour (online at www.governance.ualberta.ca) and avoid any behaviour which could potentially result in suspicions of cheating, plagiarism, misrepresentation of facts and/or participation in an offence. Academic dishonesty is a serious offence and can result in suspension or expulsion from the University.
Announcements
Assignments
Assignment #1:
Section 1.3: Ex 9, Ex 10, Ex 13, Ex 17;
Section 1.4: Ex 2, Ex 5, Ex 8, Ex 9;
Section 1.6: Ex 8, Ex 10, Ex 11;
Section 2.1: Ex 2;
Section 2.3: Ex 6, Ex 7, Ex 9, Ex 13, Ex 23, Ex 25, Ex 27;
Section 2.4: Ex 4, Ex 5, Ex 6.
(Due date: February 6, Monday)
Assignment #2:
Section 2.5: Ex 6, Ex 7, Ex 9, Ex 13, Ex 14, Ex 15, Ex 16;
Section 2.6: Ex 1, Ex 3, Ex 5, Ex 6, Ex 7;
Section 2.7: NONE.
(Due date: March 12, Monday)
(The TA pointed out a correction in solution: The matrix A should be T *J * T^(-1) instead of T^(-1) *J * T)
Assignment #3:
Section 2.8: Ex 1, Ex 2, Ex 3, Ex 4, Ex 11, Ex 12, Ex 13, Ex 14, Ex 15, Ex 16, Ex 17, Ex 18, Ex 19;
Section 2.9: NONE;
Section 4.1-4.2: Ex 4 (a)(b)(d)(f), Ex 9 (a)(c)(e)(g);
Section 4.3: Ex 2, Ex 3, Ex 4, Ex 5, Ex 8, Ex 10, Ex 13 (a)(b).
(Due date: April 11, Wednesday)