1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF SCIENCE AND LETTERS
  3. MATHEMATICS DEPARTMENT
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
Print

COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 458INTEGRAL TRANSFORMS3 + 08th Semester5,5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Elective
Course Objective The aim of this course is to teach the basic integral transforms and its applications in science and engineering.
Course Content Special Functions and Laplace Transforms, Applications of Laplace Transforms, Fourier Series, Integrals, Transforms and Applications.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Realizes the special functions.
2Learns the Laplace transformation and properties.
3Uses these transformations on any kind of problems.
4Gets information about the Fourier series and transformations.
5Defines the Fourier Integral.
6Can apply Fourier seies to different areas.
7Can solve the differential equations by the help of the Fourier series.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001       5  
LO 002 4     4  
LO 003  4   454 
LO 004       4  
LO 005  5    4  
LO 006  4  5 55 
LO 007  4    45 
Sub Total 417  543114 
Contribution0120011420

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Mid-terms15151
Final examination15050
Total Work Load

ECTS Credit of the Course





143

5,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2013-2014 Spring1AYŞEGÜL DAŞCIOĞLU
Details 2012-2013 Spring2AYŞEGÜL DAŞCIOĞLU
Details 2011-2012 Spring2AYŞEGÜL DAŞCIOĞLU


Print

Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 458 INTEGRAL TRANSFORMS 3 + 0 1 Turkish 2013-2014 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. AYŞEGÜL DAŞCIOĞLU aakyuz@pau.edu.tr FEN A0313 %70
Goals The aim of this course is to teach the basic integral transforms and its applications in science and engineering.
Content Special Functions and Laplace Transforms, Applications of Laplace Transforms, Fourier Series, Integrals, Transforms and Applications.
Topics
WeeksTopics
1 Basic Concepts for Integrals
2 Special Functions
3 Properties of Laplace Trasforms
4 Properties of Inverse Laplace Trasforms
5 Application of Laplace Transforms to Ordinary Differential Equations
6 Application of Laplace Transforms to integral, integrodifferential, Partial Differential and Difference Equations
7 Fourier Series
8 Fourier Integrals
9 Exam
10 The solution of heat and wave equations by the method of separable of variables
11 Solution of Laplace and Poisson equations by the separable of variables method
12 Fourier Transforms
13 Applications of Fourier Transforms
14 Applications of Fourier Transforms
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes