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week/No.	Tiltle	lecture hour	Laboratory Hour	Self study Hour	Activities	Teacher
01	Existence of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
01	Existence of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
02	Solution continuation, uniqueness and continiuity of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
02	Solution continuation, uniqueness and continiuity of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
03	Linear systems of differential equations	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
03	Linear systems of differential equations	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
04	Fundamental matrices	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
04	Fundamental matrices	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
05	Eigenvalues and solution trajectories	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
05	Eigenvalues and solution trajectories	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
06	Systems with periodic coefficients	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
06	Systems with periodic coefficients	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
07	Stability of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
07	Stability of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
08	Midterm examination
08	Midterm examination
09	Stability of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
09	Stability of solutions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
10	Boundedness of solutions, basic properties of autonomous systems	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
10	Boundedness of solutions, basic properties of autonomous systems	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
11-12	Nonlinear systems	6	0	12	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
11-12	Nonlinear systems	6	0	12	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
13	Linearization	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
13	Linearization	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
14	Routh Hurwitz criteria	3	0		Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
14	Routh Hurwitz criteria	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
15	Lyapunov functions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
15	Lyapunov functions	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
16	Limit cycles	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
16	Limit cycles	3	0	6	Teaching method: Interactive lecture, effective questioning, problem solving, problem based activities Media: lecture notes, slides, individual assignments	��.��. ��Ե� �ѵ��, ��.��. ��Ե� �ѵ��
17	Final examination
17	Final examination


COURSE OUTLINE
1. Suject	SCMA603 THEORY OF ORDINARY DIFFERENTIAL EQUATIONS
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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. Course Lecturer
6. Coordinator	Tel.
7. Teaching Plan