1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF TECHNOLOGY
  3. MECHANICAL ENGINEERING DEPARTMENT
  4. 137 MECHANICAL ENGINEERING
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 220APPLIED MATHEMATICS2 + 24th Semester4

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The aim of this course is to teach basic solution methods and applications in science and engineering problems. .
Course Content Special Functions, Laplace Transforms and Applications, Fourier Series, Sturm-Lioville Problems, Basic Concepts for Partial Differential Equations, First and Second Order Partial Differential Equations.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Recognizes the special functions and knows the properties.
2Learns the Laplace transformations and properties.
3Learns the fundemental concepts of the partially differential equations.
4Recognizes and solves the first and second order partially differential equations.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14456
Assignments12448
Total Work Load

ECTS Credit of the Course





104

4
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1ABDULLAH ALĞIN
Details 2022-2023 Spring8ABDULLAH ALĞIN
Details 2021-2022 Spring10ABDULLAH ALĞIN
Details 2020-2021 Spring5GÖKMEN ATLIHAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 220 APPLIED MATHEMATICS 2 + 2 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ABDULLAH ALĞIN aalgin@pau.edu.tr TEK A0009 %70
Goals The aim of this course is to teach basic solution methods and applications in science and engineering problems. .
Content Special Functions, Laplace Transforms and Applications, Fourier Series, Sturm-Lioville Problems, Basic Concepts for Partial Differential Equations, First and Second Order Partial Differential Equations.
Topics
WeeksTopics
1 Special Functions
2 Fourier Series
3 Fourier Cosines and Sines Series
4 Parseval Identity
5 Laplace Transformation
6 Inverse Laplace Transformation and their properties
7 Application of the Laplace Transformation to Differential Equations
8 Midterm exam, Application of the Laplace Transformation to Systems of Differential Equations
9 Solution of Particular Integral Equations by Using Laplace Transformation
10 Sturm-Lioville Problem
11 First Order Partial Differential Equations
12 Second Order Partial Differential Equations
13 The method of Separation of Variables
14 Solution by the Laplace Transformation
Materials
Materials are not specified.
Resources
ResourcesResources Language
"Diferansiyel Denklemler (Cilt II): Teori ve Problem Çözümleri", A. Daşçıoğlu, M. Sezer, Dora Yayınevi, Bursa, (2017).Türkçe
"Mühendislikte Diferansiyel Denklemler", Z. Recebli, M. Özkaymak, Seçkin Yayınevi, Ankara, (2015).Türkçe
"Higher Engineering Mathematics", J. Bird, (6. Baskı), Elsevier Publ., Amsterdam (2010).English
"Elementary differential equations and boundary value problems", W. E. Boyce, R. C. DiPrima, Wiley Publ., (10th ed.), (2012).English
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes