MATH 333 - Differential Equations with Matrix Theory

Fall 07

MTWF 10:40-11:30am, MG 118

Final Exam: Wednesday December 19, 2007, 10:30am-12:30pm, MG 118. Results

Instructor: Barbara Zubik-Kowal

Office: MG 241 B, Phone: 426-2802

Office Hours: M,W,F 9:40-10:30am

Textbook: Elementary Differential Equations(2/e), by Kohler and Johnson, Publisher: Pearson Addison Wesley, ISBN: 0-321-29044-5

Syllabus

Introduction and General Modeling Considerations
Modeling with First Order Equations
Qualitative Theory of First Order Equations
Solution Techniques for First Order Equations
Numerical Methods for First Order Equations
Modeling with First Order Systems
Qualitative and numerical analysis of first order systems
Second Order Equations
Matrices and Gaussian elimination
Elementary matrix algebra
Matrix inverses
Determinants
Eigenvalues and Eigenvectors
Systems of linear differential equations
Systems of nonlinear differential equations
Forcing and resonance
The Laplace Transform

Learning Objectives

As an applied mathematics course, the objectives of M 333 reflect three of the Department's teaching goals: that students be able to give examples of nontrivial applications of mathematics to various (non-mathematical) fields, that students be able to use suitable mathematical tools, and that students use mathematics as a language. As a service course taken primarily by non-majors, M 333 does not stress the aesthetic side of mathematics or the idea of mathematics as the study of patterns.
Upon completion of this course, students should:

Be able to explain the meaning of an ordinary differential equation, both geometrically and analytically.

Use calculus to obtain qualitative information about solutions of a differential equation even if no analytic form of the solution is available.

Be able to formulate a differential equation describing a situation in the sciences or engineering, given a clear statement of the scientific or engineering principles involved.

Be able to use a number of elementary techniques for the analytic solution of differential equations.

Be able to use simple numerical algorithms for the approximate solution of differential equations and be able to explain the difference between a solution obtained analytically and one obtained numerically.

Be able to solve problems using computer software implementing advanced numerical algorithms.

Be able to solve problems involving basic matrix theory including matrix algebra, determinants, and eigenvalues.

Be able to use matrix theory to solve systems of linear differential equations.

Tests, Quizes (never dated), Homework, Final Exam

Test 1 : 09/24/2007 comprehensive problems; chapters 1 and 2 except section 2.10

Test 2 : 11/05/2007 comprehensive problems; section 2.10, chapters 3-4

Unexpected quizes short and quick problems

Link to Homework Assignments full solutions collected each Monday

Final Exam: December 19, 2007, 10:30am-12:30pm Chapters 1-5

Grading Policy

Three tests and unexpected quizes 100/3 %

Homework 100/3 %

Final Exam 100/3 %

Total 100 %

A+: 97% and above; A: 93%-97%; A-: 90%-93%; B+: 87%-90%; B: 83%-87%; B-: 80%-83%; C+: 77%-80%; C: 73%-77%; C-: 70%-73%; D+: 67%-70%; D: 63%-67%; D-: 60%-63%; F: below 60%.

Tests, Quizes (never dated), Homework, Final Exam
Test 1 : 09/24/2007	comprehensive problems; chapters 1 and 2 except section 2.10
Test 2 : 11/05/2007	comprehensive problems; section 2.10, chapters 3-4
Unexpected quizes	short and quick problems
Link to Homework Assignments	full solutions collected each Monday
Final Exam: December 19, 2007, 10:30am-12:30pm	Chapters 1-5

Grading Policy
Three tests and unexpected quizes	100/3 %
Homework	100/3 %
Final Exam	100/3 %
Total	100 %
A+: 97% and above; A: 93%-97%; A-: 90%-93%; B+: 87%-90%; B: 83%-87%; B-: 80%-83%; C+: 77%-80%; C: 73%-77%; C-: 70%-73%; D+: 67%-70%; D: 63%-67%; D-: 60%-63%; F: below 60%.