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Teaching
Logistics:
This semester(summer 1) I am teaching Math 420: Ordinary Differential Equations.
The lectures will be held in DRL 2C2, 1:00PM-3:10PM. Office hours are W 12-1,Th 3-4.
Ordinary Differential Equations appear in almost every area of science
and engineering. Our goal will be to cover a swath of the basic
theory describing ODE's, and to apply this theory to understanding
Hamiltonian dynamical systems, as well as problems of interest to the
students.
Here is a rough outline:
* basic methods of solving ODEs
* linear dynamical systems (e.g. classification of planar linear systems)
* non-linear dynamical systems (special emphasis on Hamiltonian systems)
* applications (according to interest)
* projects in which you present an ODE-problem related to your field
At the end of the course I'd like the students to do some reports on
an ODE-type problem of interest to them. This project will replace
the final exam.
There will be homework assigned which will not be graded. However, we will have occasional short quizzes. These quizzes will consist of problems taken directly from the homework. So doing the homework will ensure good performance on quizzes, and will of course help prepare one for the exams.
Grading:
Midterm 1 25%
Midterm 2 25%
Final Project 30%
Quizzes 10%
Participation 10%
Assigned HW so far:
Chapter 1: Selected first-order ODE's via method of separation of variables, integrating factors, undetermined coefficients. Phase diagrams and slope fields.
Chapter 3: [3.2 1,4,7,11,18],[3.3 1,4,7,27], [3.4 1,2,11,12,an additional matrix exponential calculation]
Chapter 5: [5.1 3,4,5,17,18], [5.2 1,2,3,5,10,13,22], [5.3 1,2,3,4,9,14,18,19]
Some useful links:
Undergrad Math Page
Calculus Help
Private Tutoring
Tutoring Center
Math Department Website
Blackboard
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