Laplace Transformations and Applications

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

partial differential equation

Course Contents

Laplace Transforms and their properties, Inverse Laplace Transforms and their properties, Initial Value Problems, Step Functions and Impulses, Convolution, Dirac Functions, Laplace Transform on Differential Equations,Laplace Transform on Partial Differential Equations,

Weekly Schedule

1) Laplace transformations and their properties
2) Laplace transformations and their properties
3) Laplace transformations and their properties
4) Laplace transformations and their properties
5) Inverse Laplace transformations and their properties
6) Inverse Laplace transformations and their properties
7) Inverse Laplace transformations and their properties
8) Midterm
9) Initial value problems
10) Initial value problems
11) Step functions and impulses
12) Convolution,Dirac Function
13) Laplace Transform in Diffential Equations
14) Laplace Transform on Partial Differential Equations
15) Final examination

Recommended or Required Reading

1- Laplace dönüşümleri ,H.ışık izmirlioğlu ,Marmara üniversitesi,1990
1- İntegral Dönüşümler ve Uygulamalar, Doç. Dr. Kevser Kök,2020
1- Elektrikte Laplace Dönüşümü ve Fourıer Analizi , Prof. Dr. Adnan Ergeneli,2000
1- Laplace Dönüşümleri ve Uygulamaları,1995
1- Signals and Systems: Analysis Using Transform ,2002

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Demonstration
6) Modelling
7) Role Playing
8) Group Study
9) Simulation
10) Brain Storming
11) Six Hat Methods
12) Case Study
13) Lab / Workshop
14) Self Study
15) Problem Solving
16) Project Based Learning

Assessment Methods and Criteria

Contribution of Presentation/Seminar to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required