Information Package / Course Catalogue
Partial Differential Equations
Course Code: MTK538
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: 6
Objectives of the Course

This course aims to acquaint students with the fundamental structures of Partial Differential Equations first order and second order equations. Students will be familiar with classification of equations, linear first order equations, Cauchy problem for quasilinear first order equations, higher order Partial Differential Equations, wave and heat equations.

Course Content

Introduction to classification of equations, linear first order equations, method of langrange, Cauchy problem for quasilinear first order equations, linear second order equations, hyperbolic, parabolic and elliptic equations.

Name of Lecturer(s)
Learning Outcomes
1.To be able to comprehend the fundamental structures of Partial Differential Equations and classification of equations
2.To be able to find a general solution classification of equations, linear first order equations, Cauchy problem for quasilinear first order equations
3.To be able to classify second order linear Partial Differantial equations
4.To be able to define and solve wave equations
5.To be able to use mathematical concepts in solving certain types of problems
Recommended or Required Reading
1.Rene Denemeyer (1968) Introduction to Partial Differential Equations and Boundary Value problems, McGraw-Hill
2.V.S. Vladımırov (1971) Equations of Mathematical Physics, Marcel Dekker, inc, Newyork
Weekly Detailed Course Contents
Week 1 - Theoretical
Introduction, Classification of partial differential equations,
Week 2 - Theoretical
Linear first order equations,
Week 3 - Theoretical
Linear and Quasilinear equations Method of Langrange
Week 4 - Theoretical
Cauchy problem for first order equations
Week 5 - Theoretical
Types of nonlinear first order equations, Method of Charpit,
Week 6 - Theoretical
Linear second order equations and generalization of linear second order equations, Non-homogeneous equations
Week 7 - Theoretical
Linear second order equations and generalization of linear second order equations, Non-homogeneous equations
Week 8 - Theoretical
Hyperbolic, Parabolic and Elliptic equations, MIDTERM EXAM
Week 9 - Theoretical
Hyperbolic, Parabolic and Elliptic equations
Week 10 - Theoretical
Introduction to wave equations,
Week 11 - Theoretical
One-dimensional wave equation; Initial-value problem,
Week 12 - Theoretical
Two-dimensional wave equation. Initial-value problem,
Week 13 - Theoretical
Three-dimensional wave equation. Initial-value problem.
Week 14 - Theoretical
One-dimensional heat equation. Initial-value problem.
Week 15 - Final Exam
FINAL EXAM
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Assignment110212
Term Project110212
Individual Work140114
Midterm Examination120222
Final Examination132234
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
OÇ-1
3
4
2
3
4
4
2
3
4
2
2
2
3
OÇ-2
4
2
4
4
4
3
4
4
3
4
3
3
OÇ-3
2
4
2
5
4
2
2
4
4
4
3
3
4
OÇ-4
3
4
3
4
4
4
2
4
4
4
3
4
4
OÇ-5
3
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026