Information Package / Course Catalogue
Applied Mathematics
Course Code: MAT431
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 2
Credit: 3
Lab: 0
ECTS: 6
Objectives of the Course

To give the basic equations and systems, wave and heat equations in mathematical physics and engeneering, and Fourier Series

Course Content

Basic equations and systems in applied mathematics,,Wave equations, Heat and diffusion equations, Fourier Series and Fourier Integrals

Name of Lecturer(s)
Learning Outcomes
1.To define basicly equations and equations systems in applied mathematics
2.To teach one, two. three dimension wave equations
3.To give heat equations
4.To give information about fourier series
5.To be able to use mathematical concepts in solving certain types of problems
Recommended or Required Reading
1.Partial Differential Equations of Applied Mathematics, Erich Zauderer
2.Introduction to Partial Differential Equations and Boundary Value problems, Rene Denemeyer
3.Equations of Mathematical Physics, V.S. Viladimirov
4.Kısmi Diferansiyel Denklemler (Partial Differantial Equations), Mehmet Çağlayan, Okay Çelebi
5.Kısmi Diferansiyel Denklemler (Partial Differantial Equations),Kerim Koca
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Vector analysis technique
Week 2 - Theoretical & Practice
Main equations and systems of applied Mathematics, Poisson and Laplace equations,heat and diffusion equations
Week 3 - Theoretical & Practice
Wave equations, Acousttic system, lame system, Maxwell’s system
Week 4 - Theoretical & Practice
Sturm-Liouville Problems
Week 5 - Theoretical & Practice
Introduction to wave equations
Week 6 - Theoretical & Practice
Wave equation in one dimension and two dimension
Week 7 - Theoretical & Practice
Wave equation in three dimension, Polar coordinates in wave equations
Week 8 - Theoretical & Practice
Introduction to heat equations, Midterm Exam
Week 9 - Theoretical & Practice
Heat equations; one dimension
Week 10 - Theoretical & Practice
Heat equations; two dimension
Week 11 - Theoretical & Practice
Polar coordinates in heat equations
Week 12 - Theoretical & Practice
Fourier Series
Week 13 - Theoretical & Practice
Fourier Integrals
Week 14 - Theoretical & Practice
Elliptic Integrals
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures1%5
Assignment1%5
Midterm Examination1%30
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140228
Lecture - Practice140228
Assignment1224
Individual Work140228
Midterm Examination128230
Final Examination130232
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
PÇ-16
PÇ-17
PÇ-18
OÇ-1
4
4
2
4
5
5
2
5
5
4
4
4
OÇ-2
5
4
2
4
4
4
3
4
5
5
4
4
OÇ-3
4
5
2
4
5
5
2
5
4
3
4
5
OÇ-4
4
4
2
4
4
5
2
4
5
4
5
4
OÇ-5
Adnan Menderes University - Information Package / Course Catalogue
2026