• Basic information
• Learning outcomes
• Contents
• Assessment
• Workload

Learning outcomes

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

1. Perceive the methods regarding the solution of the boundary-value problems

   Contribution to Program Outcomes

   1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
   2. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
   3. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.
   4. Exhibiting professional and ethical responsibility.

   Method of assessment

   1. Written exam
2. Transfer the mathematical applications to engineering and other applied sciences

   Contribution to Program Outcomes

   1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
   2. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.

   Method of assessment

   1. Written exam
3. Gain the capability of mathematical modeling

   Contribution to Program Outcomes

   1. 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.
   2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
   3. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.

   Method of assessment

   1. Written exam

Contents
Week 1:	Mathematical models of physical problems. Standart equations of mathematical physics.
Week 2:	Existence and uniqueness of the solution of boundary-value 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:	Strum-Liouville eigenvalue problem.
Week 8:	Eigen function expansion.
Week 9:	Completeness Theorems. Midterm Exam.
Week 10:	Boundary-value problems in cartesian coordinates.
Week 11:	Boundary-value problems in cartesian coordinates.
Week 12:	Bessel functions and Legendre polynomials.
Week 13:	Boundary-value problems in cylindrical coordinates.
Week 14:	Boundary-value problems in spherical coordinates.
Week 15*:	-
Week 16*:	Final Exam.
Textbooks and materials:	Partial Differential Equations and Boundary - Value Problems with Applications (Mark A. Pinsky)
Recommended readings:	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 (%)
Mid-terms:	9	40
Other in-term studies:		0
Project:		0
Homework:		0
Quiz:		0
Final exam:	16	60
	Total weight:	(%)

Workload
Activity	Duration (Hours per week)	Total number of weeks	Total hours in term
Courses (Face-to-face teaching):	3	14
Own studies outside class:	5	14
Practice, Recitation:	0	0
Homework:	0	0
Term project:	0	0
Term project presentation:	0	0
Quiz:	0	0
Own study for mid-term exam:	10	1
Mid-term:	3	1
Personal studies for final exam:	8	2
Final exam:	3	1
		Total workload:
		Total ECTS credits:	*
	* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)