Information Package / Course Catalogue
Analytical Methods in Engineering
Course Code: MCE501
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

The objectives of this course are to enable the students to understand analytical solution methods for linear ordinary and partial differential equations. This course will enable graduate students to solve Bessel, Gamma,Laguerre functions and Legendre polynomials.

Course Content

Ordinary differential equations. Series solutions of ordinary differential equations. Method of Frobenius. Fourier series. Boundary conditions. Partial differential equations. Seperation of variables. Bessel, Gamma,Laguerre functions. Legendre polynomials.

Name of Lecturer(s)
Prof. Ebru DURAL
Learning Outcomes
1.be able to find analytical solutions of linear ordinary differential equations
2.be able to find analytical solutions of partial differential equations
3.be familiar with Fourier series
4.be able to solve Bessel, Gamma,Laguerre functions
5.be familiar wiht Legendre polynomials
Recommended or Required Reading
1.P.V. O’Neil, Advanced Engineering Mathematics, 7. Ed.,Cengage Learning, 2010.
2.F.B. Hildebrand, Advanced Calculus for Applications, 2. Ed.,Prentice-Hall,1976
3.C.R. Wylie,Diffrential Equations, McGraw-Hill, 1979
Weekly Detailed Course Contents
Week 1 - Theoretical
Elementary Methods for solution of ordinary differential equations
Week 2 - Theoretical
Elementary Methods for solution of ordinary differential equations
Week 3 - Theoretical
Series solutions of ordinary differential equations
Week 4 - Theoretical
Series solutions of ordinary differential equations
Week 5 - Theoretical
Method of Frobenius
Week 6 - Theoretical
Fourier Series
Week 7 - Theoretical
Boundary Conditions
Week 8 - Theoretical
Partial Differential Equations
Week 9 - Theoretical
Partial Differential Equations
Week 10 - Theoretical
Seperation of variables
Week 11 - Theoretical
Seperation of variables
Week 12 - Theoretical
Seperation of variables
Week 13 - Theoretical
Special functions
Week 14 - Theoretical
Special functions
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory142370
Assignment40416
Midterm Examination240386
Final Examination125328
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
OÇ-1
3
3
OÇ-2
3
3
OÇ-3
4
3
OÇ-4
OÇ-5
Adnan Menderes University - Information Package / Course Catalogue
2026