COURSE OUTLINE
1. Suject SCMA674 MATHEMATICAL MODELS IN THE LIFE SCIENCES
วทคณ๖๗๔ แบบจําลองเชิงคณิตศาสตร์ทางวิทยาศาสตร์สิ่งมีชีวิต
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 essential modelling tools learned in this course.
4. CLO2: Demonstrate essential modelling tools learned in this course.
5. CLO3: Apply the techniques and tools for modelling learned in this course to model real phenomena and answer some questions in applied sciences or other fields of interest.
6. CLO3: Apply the techniques and tools for modelling learned in this course to model real phenomena and answer some questions in applied sciences or other fields of interest.
4. Course Director Assoc.Prof.DR. CHONTITA RATTANAKUL
5. Teaching Plan
week/No.Tiltlelecture hourLaboratory HourSelf study HourActivitiesTeacher
01Introduction to Mathematical Modeling3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, อ.Dr. Andrea De Gaetano
01Introduction to mathematical modeling and dynamical models in biomedicine3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, อ.Dr. Andrea De Gaetano
02Probability theory and random variables3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
อ.Dr. Andrea De Gaetano
02-03Linear difference equation models6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล, อ.Dr. Andrea De Gaetano
03Parameter estimation in time-variable space3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
อ.Dr. Andrea De Gaetano
04Geometry of parameter estimation in n-dimensional case space3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
อ.Dr. Andrea De Gaetano
04-05Nonlinear difference equation models6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล
05Functional analysis and basic elements of differential geometry3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
อ.Dr. Andrea De Gaetano
06Geometry of parameter estimation in the Hilbert space of random variables3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
อ.Dr. Andrea De Gaetano
06-07Differential equation models6 0 12 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล
07Introduction to models of stochastic processes2 0 4 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
อ.Dr. Andrea De Gaetano
08Midterm examination
08Midterm examination
09Autonomous 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
09Linear difference equation models3 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
10Nonlinear difference equation models3 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
10-11Phase plane analysis6 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
11Differential equation models3 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
12Autonomous 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
12Stability theory3 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
13-14Model analysis in applications6 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
13Phase plane analysis3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
14Stability theory3 0 6 Teaching method:
Interactive lecture, effective questioning, problem solving, problem
based activities

Media: lecture notes, slides, individual assignments
รศ.ดร. ชนม์ทิตา รัตนกุล
15Model analysis in applications3 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
15Introduction to models of stochastic processes3 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
16Simulation techniques3 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
16Simulation techniques4 0 8 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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