Identification
Subject
MATH 310 Applied Differential equations
Department
Engineering
Program
Undergraduate
Term
Fall, 2015
Instructor
AslanovaNigar
E-mail
nigar.aslanova@yahoo.com
Phone
421-10-93
Classroom
Room 503 O
Office hours
Thursday
09:00-12:00
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:
Teaching methods

Solve first order linear, separable, Bernoulli, exact, homogenous differential
equations

Solve second and higher orderdifferential 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
30
Class participation
10
Quizzes
15
Final exam
45

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 least60% to pass. In case of failure
he/she will be referred orrequired to repeat the course the following term or
year.

Cheating/ plagiarism
Cheating or other plagiarism during the Quizzes, Mid-term andFinal
Examinations will be lead to paper cancellation. In thiscase, the student will
automatically get zero (0), without anyconsiderations.

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
1
Textbook
[1]
I order LDE, existence & uniqueness of solution
2
Nonlinear equations, constructing integral curves
[1]
3
Separable equations
[1]
4
Exact equation, integrating factors
[1]
5
Homogeneous equations
[1]
6
II order LE, Fundamental solutios of the homogeneous equations
[1]
7
Mid-term exam
[1]
8
Linear independence
[1]
9
Reduction of the order
[1]
10
Homogeneous equation with constant coefficients
[1]
11
The nonhomogenous problem, the method of undetermined coefficients
[1]
12
The method of variation of parameters
[1]
13
System of first order linear differential equations
[1]
14
The n-th order linear equations, homogeneous equations with constant coefficients,
The method of undetermined coefficients
[1]
15
Laplace transformation.
[1]
16
Final exam