NYIT, Old Westbury Campus
Department
of Mathematics
Math 320 – Differential Equations
Class Hours: Mon/Wed : 9:30 AM –
10:50 AM
Spring Term, 2009 Instructor: Dr. Ranja Roy
Office Hours: Mon- 8:45 AM- 9:30 AM Office: HSH- Room 123
Tue- 9 AM– 11:30 AM
Wed- 8:45 AM-
9:30 AM Phone: 686-1096
And by appointment. Email: rroy@nyit.edu
Text: Fundamentals of
Differential Equations, by R. K. Nagle, E. B. Saff,
and A. D. Snider, 7th ed., Pearson and Addison Wesley, (ISBN 0-321-38841-0)
Calculator: TI-86 required for quizzes,
tests and final.
Course Description: This course is an introduction to the study of
first-order and higher-order linear differential equations, with applications
of these topics to mechanics and electrical circuits. A student taking this
course will learn to solve higher order differential equations using various
techniques such as the method of undetermined coefficients, the variation of
parameters and
Prerequisite: Math 260.
Course Objectives: Students will learn to identify different
types of ordinary and partial differential equations and to obtain the
equations that are satisfied by the differential equation. Throughout the course, the
emphasis is on methods of solution. We will demonstrate applications problems
to the engineering sciences to re-enforce the conceptual learning both using
regular algebraic methods and with MathCAD / Math LAB.
Learning Outcomes: Upon successful completion of the course, students will be able to:
1.
Create and
analyze mathematical models based on ordinary differential equations.
2.
Determine the
type of a given differential equation, and if a solution can be obtained,
select the appropriate analytical technique for finding the solution.
3.
Solve algebraically
a first order differential equations using separation of variables, integrating
factors and exactness criterion.
4.
Solve
algebraically a second order differential equations
using the method of undetermined coefficients, variation of parameters and
using Laplace transforms.
5.
Find Fourier
series of a function.
6.
Use the
appropriate algebraic methods to solve applied problems in compartmental
analysis and Newtonian Mechanics.
7.
Recognize a
partial differential equation with boundary conditions for heat flow and be
able to find the heat equation as the particular solution.
Course Outline: We will follow the common course outline prepared by the Mathematics Department. This will cover most of the chapters 2, 3, 4, 6, 7 and 10. The detailed outline is attached.
Course Structure: There will be 7
quizzes, 3 tests and a final exam. The worst 2 quiz grades will be dropped for
fair evaluation. Please see the attached grading criteria page for
details.
Class Attendance:
The last day to add and drop
courses is 02/04/09.
Attendance will be taken regularly. If you miss more that 5 classes, you are at
risk to be given “W” (withdrawn) grade. A student may choose to withdraw from
the course anytime during the first 8 weeks of class but this requires the
withdrawal paperwork to be signed by the professor. If a student stops
attending classes after the 8th week and is failing, the grade will
be WF.
Class Policies: No alternative times for
the final exams can be scheduled. Make up tests will be allowed only for a
documented illness provided you contact me before the test. There will be no
make up for quizzes. You may receive a W grade during the first 8 weeks of
class with the permission of the instructor. If you stop attending classes
after the 8th week and failing, you will receive WF.
Plagiarism
is the appropriation of all or part of someone else’s works (such as but not
limited to writing, coding, programs, images, etc.) and offering it as one’s
own. Cheating is using false pretenses, tricks, devices, artifices or deception
to obtain credit on an examination or in a college course. If a faculty member
determines that a student has committed academic dishonesty by plagiarism,
cheating or in any other manner, the faculty has the academic right to 1) fail
the student for the paper, assignment, project and/or exam, and/or 2) fail the
student for the course and/or 3) bring the student up on disciplinary charges,
pursuant to Article VI, Academic Conduct Proceedings, of the Student Code of
Conduct.
Study Suggestions: Learning the material covered
in this course requires a good knowledge from Integral and multivariable
calculus. Please review any topic from calculus that you may have forgotten and
we are using in the teaching of Differential equations. Apart from doing
homework regularly, it is very important to spend some extra hours to review
class notes and understand the concepts clearly. A good knowledge of class
material with problems covered in class work and homework is key to getting a
good grade in the course. If you are having difficulties understanding any
class work or homework, please see me during my office hours to discuss on a
one-on-one basis. Please do not hesitate to ask questions during lectures and
outside class.
Let
us together make this course a rewarding experience. Best of luck!!!