Course
Info
KMU237 -
ENGINEERING MATHEMATICS
|
Course
Name
|
Code
|
Semester
|
Theory
(hours/
week)
|
Application
(hours/
week)
|
Credit
|
ECTS
|
|
ENGINEERING
MATHEMATICS
|
KMU237
|
3rd Semester
|
2
|
2
|
3
|
5
|
|
Prequisites
|
None
|
|
Course language
|
English
|
|
Course type
|
Must
|
|
Mode of Delivery
|
Face-to-Face
|
|
Learning and teaching strategies
|
Lecture
Question and Answer
Problem Solving
|
|
Instructor (s)
|
Academic Staff
|
|
Course objective
|
1. To give
the basic principles of elementary
differential equations. This will include
parts mostly from the theory and methods of
ordinary differential equations, but also
include some stuff on basic partial
differential equations. 2. To provide an
ability for the recognition of ordinary and
partial differential equation types and
obtaining their general solutions and to
instil how to apply basic techniques to solve
ordinary and partial differential equations.
3. To make the students aware of the
applicability of mathematics as a tool in
engineering. 4. To show the ways how
differential equations have been utilized in
the modelling of physical systems related to
chemical engineering. 5. To give a safe
mathematical platform for the main chemical
engineering courses.
|
|
Learning outcomes
|
An
ability to apply knowledge of mathematics,
science and engineering.
An
ability to identify, formulate, and solve
engineering problems.
Ability
to use the techniques, skills, and modern
engineering tools necessary for engineering
practice.
|
|
Course Content
|
First order ordinary differential
equations, Higher order ordinary
differential equations with constant
coefficients. Linear differential
equations with variable coefficients,
Legendre, Bessel and Gauss
equations. Partial differential equations:
First order linear and
non-linear partial differential equations.
Linear homogeneous
partial differential equations with constant
coefficients.
|
|
References
|
Text Book
Bronson, R., Costa, G., "Schaum's Outlines
Differential Equations" 3rd Ed.,
McGraw-Hill Companies, USA, 2006.
Reference Books
1. Kreyszig, E., "Advanced Engineering
Mathematics", John Wiley&Sons, New York,
1999.
2. Ayres, F., "Theory and Problems of
Differential Equations", McGraw Hill, New
York, 1952.
|
Course outline weekly
|
Weeks
|
Topics
|
|
Week 1
|
Basic concepts; differential
equations, notation, solutions, initial-value
and boundary-value problems, standard form and
differential form, linear equations, bernoulli
equations, homogeneous equations, separable
equations, exact equations.
|
|
Week 2
|
Separable first-order differential
equations
|
|
Week 3
|
Exact first order differential
equations
|
|
Week 4
|
Linear first order differential
equations
|
|
Week 5
|
Applicatıons of first-order
differential equations
|
|
Week 6
|
First-order higher degree equations
|
|
Week 7
|
Second-order linear homogeneous
differential equations with constant
coefficients
|
|
Week 8
|
nth-order linear homogeneous
differential equations with constant
coefficients
|
|
Week 9
|
Linear, non-homogeneous differential
equations with constant coefficients: Solution
methods
|
|
Week 10
|
Solution methods of non-homogenous
differential equations with constant
coefficients
|
|
Week 11
|
Midterm Linear differential
equations with variable coeffıcients: cauchy
and legendre equations
|
|
Week 12
|
Bessel equations
|
|
Week 13
|
Laplace equations
|
|
Week 14
|
Partial differential equations:
solutions with seperation of variables
|
|
Week 15
|
Preparation to final exam
|
|
Week 16
|
Final exam
|
Assesment
methods
|
Course activities
|
Number
|
Percentage
|
|
Attendance
|
0
|
0
|
|
Laboratory
|
0
|
0
|
|
Application
|
0
|
0
|
|
Field Activities
|
0 |
0
|
|
Specific practical training
|
0
|
0
|
|
Assignments
|
5
|
10
|
|
Presentation
|
0
|
0
|
|
Project
|
0
|
0
|
|
Seminar
|
0
|
0
|
|
Midterms
|
1
|
40
|
|
Final exam
|
1
|
50
|
|
Total
|
100
|
|
Percentage of semester activities
contributing grade success
|
0
|
50
|
|
Attendance Percentage of final
exam contributing grade success
|
0
|
50
|
|
Total
|
100
|
|