Identification
Subject
Applied Differential equations
Department
Engineering
Program
Term
Fall, 2014
Instructor
Aslanova Nigar
E-mail
nigar.aslanova@yahoo.com
Phone
421-10-93
Classroom
Room 202 N
Office hours
Thursday 16:40 -18:00 ,Friday 15:10-16:30
prerequisites
Consent of instructor
language
English
Compulsory/Elective
Required
Required textbooks and
course materials
1. William E.Boyce and Richard C. DiPrima, Elementary Differential
Equations and Boundary Value problems, III edition, 1995
2.Stanley I. Grossman. Multuvariable calculus, Linear Algebra , and
Differential equations, second edition,1986.
Course website
www.differential equations.com
Course outline
The course concerns the study of solution methods for differential equations.
Course objectives
The differences between I order linear & nonlinear equations will be emphasized,
solution methods will be given.The concepts of fundamental sets of solutions,
linear independence will be emphasized together with methods of solution. It
will be shown why the classification of points as ordinary, regular, singular is
necessary. Euler equation will used as model. Laplace transformation will be used
for solving initial value problem. Systems of I order LE will be considered .
Learning outcomes
By the end of the course the students should be able:

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
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Teaching methods
Solve first order linear, separable, Bernoulli, exact, homogenous
differential equations
Solve second and higher order differential equations with method of
variation of parameters and method of undetermined coefficients
solve system of linear equations
Solve initial value problems by applying Laplace transformation
lecture
Seminars
Group discussions
Evaluation
Policy
Methods
Percentage
Midterm exam
25
Class participation
10
Quizzes
25
Final exam
40
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
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Preparation for class
The structure of this courses makes your individual study and preparation
outside the class extremely important. The lecture material will focus on
the major points introduced in the text. Reading the assigned chapters
and having some familiarity with them will assist your understanding of
the lecture. After lecture , you should study your notes and work relevant
problems and cases from the end of the chapter and sample exam
questions.
Withdrawal (pass, fail)
This course strictly follows grading policy of the University. Thus, a
student is normally expected to achieve a mark of a least 60% to pass. In
case of failure he/she will be referred or required to repeat the course the
following term or year.
Cheating/ plagiarism
Cheating or other plagiarism during the Quizzes, Mid-term and Final
Examinations will be lead to paper cancellation. In this case, the student
will automatically get zero (0), without any considerations.

Professional behavior guidelines
The students shall behave in the way to create favorable
academic and
professional environment during the class. Unauthorized discussions unethical
behaviors are strictly prohibited. For successful completion of the course, the
students should take an active part during the class time; ask questions and
involving other to discussions.
Tentative Schedule
Week
Topics
Textbook
[1]
18.09.14 I order LDE, existence & uniqueness of solution
19.09.14
25.09.14 Nonlinear equations, constructing integral curves
[1]
26.09.14
02.10.14 Separable equations
[1]
03.10.14
09.10.14 Exact equation, integrating factors
[1]
10.10.14
16.10.14 Homogeneous equations
[1]
17.10.14
23.10.14 II order LE, Fundamental solutios of the homogeneous equations
[1]
24.10.14
30.10.14 Mid-term exam
[1]
31.11.14 Linear independence
[1]
06.11.14
07.11.14 Reduction of the order
[1]
13.11.14
14.11.14 Homogeneous equation with constant coefficients
[1]
20.11.14
21.11.14 The nonhomogenous problem, the method of undetermined coefficients
[1]
27.11.14
28.11.14 The method of variation of parameters
[1]
04.12.14
05.12.14 System of first order linear differential equations
[1]
11.12.14
12.12.14 The n-th order linear equations, homogeneous equations with constant coefficients,
The method of undetermined coefficients
18.12.14
[1]
19.12.14
[1]
Laplace transformation.
25.12.14
26.12.14 Final exam