| Bonus question solution |
|---|
| This is a sketch of the solution for
the final bonus problem. Here is a
Maple document with some more
explanations. |
| 13 December 2005 |
| Final exam |
|---|
| The final is on Tuesday, Dec 13th, from 3:30pm till
5:30pm in the regular lecture room. There will be 7 problems. As
usual, one problem will be about Cheburashka,
this time featuring a guest star -- Shapoklyak! |
 |
| 9 December 2005 |
| Bonus question |
|---|
| Here is the statement of the question.
It can give you up to 10% on your final test mark. Please work on the
question by yourself! |
| 2 December 2005 |
| A message from T.Vogel: An advanced DiffEq course |
|---|
| Course description for Math 451, Spring 2006.
Instructor: T. Vogel |
| This is a second course in ordinary differential
equations. I'll be teaching it as a continuation of Math 308, so
we'll be using the same text (Nagle, Saff, and Snider, 4th
edition). My plan (subject to change) is to first review 308 a
bit, and then start in chapter 5 on systems and phase plane
analysis, including a discussion of dynamical systems and
chaos. After that, we'll go to chapter 9, matrix methods for
linear systems, and then chapter 12, concerning autonomous
systems. (An important application of autonomous systems occurs in
ecology, when you model the populations of two competing species.)
These three chapters belong together: they all concern phase plane
analysis. After that, we'll look at existence and uniqueness
questions in chapter 13. Following that, I hope to cover chapters
10 (partial differential equations), and 11 (Sturm-Liouville
problems). This is probably enough for one semester. Many
sections of 308 are computer driven. Although we will be using
Maple or Matlab occasionally, the emphasis in 451 will be more on
theory than on results from computers. If you plan to deal with
differential equations later on, it's important to have a solid
understanding of their theory. I plan to give weekly homework,
three hour exams during the semester, and a comprehensive
final. This course can work as a math elective for math majors. It
also can be used by engineering majors to get a math minor (ask
your advisor, but typically all an engineering major needs to get
a math minor is one more 400 level math course).
|
| 30 November 2005 |
| Quiz 4 |
|---|
| The quiz will cover:
Laplace Transforms -- sections 7.1-7.6.
|
| This table of Laplace transforms
will be provided. |
| 30 November 2005 |
| Exam 3 |
|---|
| We will have our third exam on Monday, Nov 21st.
The exam will cover: systems -- sections 5.1, 5.2, 5.4 and
related material from 9.5 and 12.3;
Laplace Transforms -- sections 7.1-7.4.
|
| Possible questions include: linear systems (both homogeneous
and not), applications to mixing, critical points and phase portraits
for linear and nonlinear systems, Laplace Transform, its inverse and
application to differential equations. |
| This table of Laplace transforms
will be provided. |
| 16 November 2005 |
| Quiz 3 |
|---|
| We will have our third quiz on Wednesday, Nov 9th. The
quiz will cover systems: sections 5.1, 5.2, 5.4 and related material
from 9.5 and 12.3
|
| 7 November 2005 |
| Exam 2 |
|---|
| We will have our second test on Wednesday, Oct 26th. The
test will cover Chapter 4.
|
| 18 October 2005 |
| Bonus Question is Closed |
|---|
| The bonus question about the bungee jump is closed. All
solutions received after 2pm today will not be considered.
|
| 18 October 2005 |
| Second Quiz and Exam |
|---|
We shall have our second quiz on Wednesday, 12th of
October. It will cover sections 4.1-4.6.
The next exam will take place on Wednesday, 26th of October.
|
| 10 October 2005 |
| Bonus Question |
|---|
To earn a 5% bonus on the next exam solve the
bonus question.
I will post a news item when the bonus is closed.
|
| 10 October 2005 |
| First Exam |
|---|
We shall have our first midterm on Wednesday, 21st of
September. It will cover all of the material covered in the lectures
so far, that is chapters 1, 2 and 3 up to and including 3.4
The exam will take place in the usual lecture place during the usual
lecture time. You will be asked to show your IDs, so bring them
along.
I will also ask you NOT TO LEAVE the exam room during the last 20
minutes of the exam as this has a disturbing effect on other
students. I hope there will be enough questions on the exam to keep
you occupied.
|
| 19 September 2005 |
| MiniQuiz Policy |
|---|
This is how the MiniQuizzes (pop-up quizzes) will affect
you grade.
Each missed quiz is count as 0 points. After the semester
ends, a number (around 3) of the lowest quiz marks will be dropped
and the rest will be averaged. Then I will substitute the result
for the lowest mark among the "formal" quizzes. If you miss a
quiz with a University approved excuse, this quiz will not count
at all (neither towards the dropped marks, nor in the average).
Example: 2 missed quizzes, 1 missed with an excuse and three
quizzes
with marks 1, 3 and 5. I will drop the three lowest marks (0, 0
and 1) and average the rest (3 and 5) to obtain 4 (80%).
|
| 14 September 2005 |
| Quiz #1 on Wednesday, 7th Sept |
|---|
| We will have a 15-minute quiz at the start of the
Wednesday class. The quiz will be based on the material of
Sections 1.1-1.4. You can use Maple but cannot use your
notes or the book.
|
| 5 September 2005 |
| Office hours change |
|---|
| Office hours are moved to Tue and Wed from 11am till noon.
|
| 5 September 2005 |
| Sample exam |
|---|
| Here is a sample exam from
the last year. Use it as an indication of the style of
the exam rather than an indication of the type of problems that
will come up.
|
| 5 September 2005 |
| |
|---|
