Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
İNM-23-122ADVANCED ENGINEERING MATHEMATICS Elective116
Level of Course Unit
Second Cycle
Objectives of the Course
The aim of this course is to teach advanced engineering mathematics required to solve Mechanical Engineering problems and to apply this knowledge to engineering problems. Mathematical modeling of engineering problems, Introduction and classification of differential equations, Solution of ordinary differential equations, Computer-aided symbolic and numerical analysis, Modeling and solutions of initial and boundary value problems, Differential equation sets and solutions, Solution of ordinary differential equations with the help of force series, Frobenius method, To be able to understand and apply Fourier series, Fourier integrals and Fourier transform, Laplace transform, Partial Differential equations and solution methods, Variable decomposition method and the specified topics.
Name of Lecturer(s)
Dr. Öğretim Üyesi Muhammet Raci AYDIN
Learning Outcomes
1Students; Knows Advanced Engineering Mathematics and can apply it to engineering problems, model an engineering problem, solve the modeled problem, know how to solve differential equations, perform Laplace transform, have knowledge about a computer aided mathematics program.
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
no prerequisites
Recommended Optional Programme Components
Course Contents
Mathematical modeling of engineering problems Introducing differential equations, classification. Solving ordinary differential equations. Computer aided symbolic and numerical analysis. Modeling and solutions of initial and boundary value problems. Differential equation sets and solutions Solution of ordinary differential equations with power series Frobenius method Fourier series Fourier integrals and Fourier transform Laplace transform Partial Differential Equations and Solution Methods Separation method
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Mathematical modeling of engineering problems
2Introducing differential equations, classification.
3Solving ordinary differential equations. Computer aided symbolic and numerical analysis.
4Modeling and solutions of initial and boundary value problems.
5Differential equation sets and solutions
6Solution of ordinary differential equations with power series
7Frobenius method
8Midterm
9Fourier series
10Fourier integrals and Fourier transform
11Laplace transform
12Partial Differential Equations and Solution Methods
13Separation method
14Final
Recommended or Required Reading
- C.R. Wylie - L. C. Barrett, Advanced Engineering Mathematics, McGraw Hill Publ. Comp. - E. Kreyszig, Advanced Engineering Mathematics, J. Wiley Publ. Comp. - Yunus A. Çengel, William J. Palm, Diferansiyel Denklemler: Mühendislik ve Temel Bilimler İçin, ISBN-13: 978-9756240496, Güven Basım. K. 1. Baskı, 2013.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities50
End Of Term (or Year) Learning Activities50
SUM100
Language of Instruction
Turkish
Work Placement(s)
no prerequisites
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination12020
Attending Lectures12896
Problem Solving12112
Self Study12112
Homework5525
TOTAL WORKLOAD (hours)166
Contribution of Learning Outcomes to Programme Outcomes
LO1
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476 226 13 14 • e-mail: info@igdir.edu.tr