COURSE OUTLINE
1. Suject SCMA603 THEORY OF ORDINARY DIFFERENTIAL EQUATIONS
วทคณ๖๐๓ ทฤษฎีของสมการเชิงอนุพันธ์สามัญ
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: Demonstrate the basic and advanced theories in ordinary differential equation learned in this course.
4. CLO2: Demonstrate the basic and advanced theories in ordinary differential equation learned in this course.
5. CLO3: Apply the knowledge learned in this course to investigate the various possible behaviors of solution of ordinary differential equation in terms of its stability.
6. CLO3: Apply the knowledge learned in this course to investigate the various possible behaviors of solution of ordinary differential equation in terms of its stability.
4. Course Director Lect. UMAPORN NUNTAPLOOK
5. Teaching Plan
week/No.Tiltlelecture hourLaboratory HourSelf study HourActivitiesTeacher
01Existence of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
01Existence of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
02Solution continuation, uniqueness and continiuity of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
02Solution continuation, uniqueness and continiuity of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
03Linear systems of differential equations3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
03Linear systems of differential equations3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
04Fundamental matrices3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
04Fundamental matrices3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
05Eigenvalues and solution trajectories3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
05Eigenvalues and solution trajectories3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
06Systems with periodic coefficients3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
06Systems with periodic coefficients3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
07Stability of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
07Stability of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
08Midterm examination
08Midterm examination
09Stability of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
09Stability of solutions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
10Boundedness of solutions, basic properties of autonomous systems3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
10Boundedness of solutions, basic properties of autonomous systems3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
11-12Nonlinear systems6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
11-12Nonlinear systems6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
13Linearization3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
13Linearization3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
14Routh Hurwitz criteria3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
14Routh Hurwitz criteria3 0 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
15Lyapunov functions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
15Lyapunov functions3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
16Limit cycles3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, รศ.ดร. ชนม์ทิตา รัตนกุล
16Limit cycles3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem based activities

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