COURSE OUTLINE
1. Suject SCMA625 PARTIAL DIFFERENTIAL EQUATIONS
วทคณ๖๒๕ สมการเชิงอนุพันธ์ย่อย
2. Program/Course Type MASTER OF SCIENCE PROGRAM IN APPLIED MATHEMATICS
3. Course Objecttive 1. CLO1: Demonstrate ethics and responsibility in assigned tasks.
2. CLO1: Demonstrate ethics and responsibility in assigned tasks.
3. CLO2: Use appropriate techniques to solve first order linear/ quasi linear partial differential equations.
4. CLO2: Use appropriate techniques to solve first order linear/ quasi linear partial differential equations.
5. CLO3: Use appropriate techniques to solve second order linear partial differential equations in bounded domains.
6. CLO3: Use appropriate techniques to solve second order linear partial differential equations in bounded domains.
7. CLO4: Use appropriate techniques to solve second order linear partial differential equations in unbounded or semi-bounded domains.
8. CLO4: Use appropriate techniques to solve second order linear partial differential equations in unbounded or semi-bounded domains.
4. Course Director Lect.Dr. SOMSAK ORANKITJAROEN
5. Teaching Plan
week/No.Tiltlelecture hourLaboratory HourSelf study HourActivitiesTeacher
01First order equations (linear and quasilinear equations)3 0 6 Teaching method:
Interactive lecture,
effective questioning,
problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
01First order equations (linear and quasilinear equations)3 0 6 Teaching method:
Interactive lecture,
effective questioning,
problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
02-03Classification of second order linear partial differential equations and canonical forms6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
02-03Classification of second order linear partial differential equations and canonical forms6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
04Existence, uniqueness and continuity of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
04Existence, uniqueness and continuity of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
05-07Solutions in bounded domains by Fourier series9 0 18 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
05-07Solutions in bounded domains by Fourier series9 0 18 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
08Midterm examination
08Midterm examination
09-11Evolution problems with boundary data9 0 18 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
09-11Evolution problems with boundary data9 0 18 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
12-13Solutions in unbounded or semibounded domains by Fourier transforms6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
12-13Solutions in unbounded or semibounded domains by Fourier transforms6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
14-15Nonhomogeneous equations6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
14-15Nonhomogeneous equations6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
16Green’s functions for Laplace operator3 0 6 Teaching method:
Interactive lecture,
effective questioning,
problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
16Green’s functions for Laplace operator3 0 6 Teaching method:
Interactive lecture,
effective questioning,
problem solving, problem based activities

Media: lecture notes, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
17Final examination
17Final examination
6. Textbook
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