課程資訊
課程名稱
隨機過程與不確定性分析
Stochastic Processes and Uncertainty Analysis 
開課學期
104-2 
授課對象
工學院  水利工程組  
授課教師
蔡宛珊 
課號
CIE7156 
課程識別碼
521EM7450 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期三2,3,4(9:10~12:10) 
上課地點
土研405 
備註
本課程以英語授課。
限本系所學生(含輔系、雙修生)
總人數上限:10人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1042CIE7156_SU 
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課程概述

待上傳 

課程目標
 
課程要求
 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
 
參考書目
 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
Week 1
2/24  Basic definitions

Assigned reading: Yen (2002), Forum, ASCE Journal of Hydraulic Engineering 
Week 2
3/02  No class (make-up class scheduled for Thursday evening on 3/10) 
Week 3
3/09  Uncertainty Analysis I

Make-up class Thursday 6-8pm at Rm 501 New CE Building [CANCELLED]

Reading Assignment: Chang, C., Tung, Y., and Yang, J. (1994). "Monte Carlo Simulation for Correlated Variables with Marginal Distributions." J. Hydraul. Eng., 10.1061/(ASCE)0733-9429(1994)120:3(313), 313-331. 
Week 4
3/16  Uncertainty Analysis II
Presentations on reading assignments

Make-up class: 3/15 Tuesday afternoon 6-8pm [New CE Building Rm 802] 
Week 5
3/23  Make-up class: 3/22 Tuesday afternoon 6-8pm [New CE Building 802] 
Week 6
3/30  Uncertainty Analysis III

Point estimate methods

Reading assignment
Harr method by Harr (1989) and Modified Harr method by Chang et al. (1996) 
Week 7
4/06  Uncertainty Analysis III: Harr's method
 
Week 8
4/13  (HW 3 is due on Wednesday, April 20 via CEIBA) 
Week 9
4/20  Introduction to Markov chain modeling (Guest speaker: Ms. Serena Hung) 
Week 10
4/27  Reading assignment (to be presented on 5/11)

1. Lin, Z. and Li, W. (2013) "Restrictions of point estimate methods and remedy" Reliability Engineering and System Safety, 111(3), 106-111.

2. Tsai, C.W. and Yang, F.-N. (2013). “Modeling bedload transport using a three-state continuous-time Markov chain model.” ASCE Journal of Hydraulic Engineering, 139(12), 1265-1276. 
Week 11
5/04  Markov chains 
Week 12
5/11  Markov chains (cont'd), Modified PMM and class presentations 
Week 13
5/18  (HW 6 is due on 6/1 via CEIBA submission) 
Week 14
5/25  Brownian motion, Gaussian processes 
Week 15
6/01  Term Project announcement

White noise and Brownian motion 
Week 16
6/08  Stochastic Differential Equations (SDEs) 
Week 17
6/15  Stochastic Differential Equations (SDEs) and Stochastic Integration