一、課程說明(Course Description)
介紹蒙特卡羅方法與應用,內容涵蓋隨機變數、類比模擬與變異數降低技巧,特別強調蒙特卡羅方法在核工與輻射領域的應用(如何描述輻射與物質作用和遷移的行為),課程內容大綱包含下列主題:
1. Introduction to Monte Carlo Method
2. Random Variables
3. Analog Simulation
4. Variance Reduction Techniques
5. Applications

二、指定用書(Textbook)
1. Monte Carlo Methods for Particle Transport, Alireza Haghighat, CRC Press (2014)

三、參考書籍(References)
1. Statistical Methods in Radiation Physics, J.E. Turner, D.J. Downing, J.S. Bogard (2012)
2. Monte Carlo - Advances and Challenges, F.B. Brown, W.R. Martin, R.D. Mosteller, LA-UR-08-05891 (2008)
3. An MCNP Primer, J.K. Shultis, R.E. Faw, Kansas State University (2008)
4. Fundamentals of Monte Carlo Particle Transport, F.B. Brown, LA-UR-05-4983 (2005)
5. A Monte Carlo Primer: A Practical Approach to Radiation Transport, S.A. Dupree and S.K. Fraley (2002)
6. Fundamentals of Monte Carlo Method for Neutral and Charged Particle Transport, A.F. Bielajew, University of Michigan (2000)
7. A Primer for the Monte Carlo Method, I.M. Sobol, CRC Press (1994)

四、教學方式(Teaching Method)
1. 授課(Lectures)
2. 討論(Discussion)
3. 專題與簡報(Project & Presentation)

五、教學進度(Syllabus)
1. Introduction to Monte Carlo Method
2. Random Number Generation
3. Application in Particle Transport (Analog Monte Carlo)
4. Mathematical Basis for Monte Carlo Particle Transport
5. Particle Tracking and Flux Estimation
6. Random Variables
7. Random Sampling Methods
8. Fundamental of Statistics
9. Variance Reduction Techniques
10. Applications and Special Topics

六、成績考核(Evaluation)
1. 作業 (30%) Homework
2. 考試 (40%) Exam
3. 專題 (20%) Project
4. 出席與小考 (10%) Attendance & Quiz

七、助教
1. Name: 梁貝儀 (工科舊館401室、電話34301)
E-mail: leungpuiyee2002@yahoo.com.hk