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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of FOREST ENGINEERING
Masters with Thesis
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FBE
GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of FOREST ENGINEERING / Masters with Thesis
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FBE5007Advanced Engineering Mathematics3+0+0ECTS:7.5
Year / SemesterSpring Semester
Level of CourseSecond Cycle
Status Elective
Department
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 3 hours of lectures per week
LecturerProf. Dr. Talat Şükrü ÖZŞAHİN
Co-LecturerProf. Dr. Ahmet Birinci
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
The main objective of this course is to acquaint the graduate students with advanced level engineering mathematics so that they can formulate, apply, and solve the physical problems of interest by use of both advanced level analytical and numerical methods of engineering (or applied) mathematics.
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
PO - 1 : gain the ability to solve problems encountered in engineering applications using mathematical principles,1,
PO - 2 : apply differential equations to engineering problems,1,
PO - 3 : defines mathematical concepts used in his/her field of science,1,
PO - 4 : interprets the relationships between the mathematical concepts learned,1,
PO - 5 : applies the mathematical relationships she has established to solve problems she may encounter1,
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome

 
Contents of the Course
Mathematical preliminaries (ordinary and partial differential equations); ordinary differantial equations; Cauchy-Euler differantial equation; Solution of differential equations with series (Taylor and Frobenius series); special functions; (gamma, faktorial, orthogonal, Bessel, dirac delta, heaviside unit step functions); Legendre, Laguerre, Hermit differential equations and polynomials; boundary value problems; Laplace transforms; Solution of constant coefficient differential equations using Laplace transform; convolution; Fourier series; fourier integrals; Fourier transforms; partial differential equations and engineering applications.
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Mathematical preliminaries
 Week 2Ordinary differantial equations
 Week 3Ordinary differantial equations
 Week 4Cauchy-Euler differantial equation
 Week 5Solution of differential equations with series
 Week 6Special functions
 Week 7Legendre, Laguerre, Hermit differential equations and polynomials
 Week 8Boundary value problems
 Week 9Mid-term exam
 Week 10Laplace transforms, convolution
 Week 11Fourier series
 Week 12Quiz
 Week 13Fourier integrals, fourier transforms
 Week 14Partial differential equations and engineering applications
 Week 15Partial differential equations and engineering applications
 Week 16Final exam
 
Textbook / Material
1Kreyszig, E. (2011). Advanced Engineering Mathematics, John Wiley & Sons, Inc., New York (10th Edition).
 
Recommended Reading
1Stroud, K. A., and Booth,D. J. (2011) .Advanced Engineering Mathematics, Bloomsbury Academic (5th edition)
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 2 30
Quiz 12 2 20
End-of-term exam 16 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 14 3 42
Sınıf dışı çalışma 12 5 60
Arasınav için hazırlık 10 2 20
Arasınav 1 1 1
Dönem sonu sınavı için hazırlık 12 2 24
Dönem sonu sınavı 1 1 1
Total work load148