Syllabus ( MATH 434 )

Basic information


Course title: 
Boundary Value Problems 
Course code: 
MATH 434 
Lecturer: 
Assoc. Prof. Dr. Gülden GÜN POLAT

ECTS credits: 
6 
GTU credits: 
3 (3+0+0) 
Year, Semester: 
4, Spring 
Level of course: 
First Cycle (Undergraduate) 
Type of course: 
Departmental Elective

Language of instruction: 
English

Mode of delivery: 
Face to face

Pre and corequisites: 
Math 203 
Professional practice: 
No 
Purpose of the course: 
The objective of this course is to introduce elemantary methods regarding the solution of the problem including differential equations and boundary conditions. 



Learning outcomes


Upon successful completion of this course, students will be able to:

Perceive the methods regarding the solution of the boundaryvalue problems
Contribution to Program Outcomes

Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

Describing, formulating, and analyzing reallife problems using mathematical and statistical techniques.

Having improved abilities in mathematics communications, problemsolving, and brainstorming skills.

Exhibiting professional and ethical responsibility.
Method of assessment

Written exam

Transfer the mathematical applications to engineering and other applied sciences
Contribution to Program Outcomes

Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

Describing, formulating, and analyzing reallife problems using mathematical and statistical techniques.
Method of assessment

Homework assignment

Gain the capability of mathematical modeling
Contribution to Program Outcomes

Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.

Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

Describing, formulating, and analyzing reallife problems using mathematical and statistical techniques.
Method of assessment

Written exam

Homework assignment


Contents


Week 1: 
Mathematical models of physical problems. Standart equations of mathematical physics 
Week 2: 
Existence and uniqueness of the solution of boundaryvalue problems 
Week 3: 
The D'Alambert and seperation of variables solutions 
Week 4: 
Fourier series and Fourier transforms 
Week 5: 
Applications of Fourier transforms 
Week 6: 
Greens Function Method 
Week 7: 
StrumLiouville eigenvalue problem 
Week 8: 
Theorems on expansion and completeness 
Week 9: 
Midterm exam and Solutions 
Week 10: 
Boundaryvalue problems in cartesian coordinates 
Week 11: 
Boundaryvalue problems in cartesian coordinates 
Week 12: 
Bessel functions and Legandre polinomials 
Week 13: 
Boundaryvalue problems in cylindrical coordinates 
Week 14: 
Boundaryvalue problems in spherical coordinates 
Week 15*: 
 
Week 16*: 
Final Exam 
Textbooks and materials: 

Recommended readings: 
Partial Differential Equations and Boundary  Value Problems with Applications (Mark A. Pinsky) Boundary Value Problems (Chy Y. Lo) 

* Between 15th and 16th weeks is there a free week for students to prepare for final exam.




Assessment



Method of assessment 
Week number 
Weight (%) 

Midterms: 
9 
40 
Other interm studies: 

0 
Project: 

0 
Homework: 
1, 2, 3, 5, 6, 7, 10, 11, 12, 13 
10 
Quiz: 

0 
Final exam: 
16 
50 

Total weight: 
(%) 



Workload



Activity 
Duration (Hours per week) 
Total number of weeks 
Total hours in term 

Courses (Facetoface teaching): 
3 
14 

Own studies outside class: 
5 
14 

Practice, Recitation: 
0 
0 

Homework: 
2 
10 

Term project: 
0 
0 

Term project presentation: 
0 
0 

Quiz: 
0 
0 

Own study for midterm exam: 
10 
1 

Midterm: 
2 
1 

Personal studies for final exam: 
10 
1 

Final exam: 
2 
1 



Total workload: 



Total ECTS credits: 
* 

* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)



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