Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	362233	Probability	1	3.0	3	▲	Tofar Chih-Yuan Chang	4EE2A	59	0

Course Plan：

Instructor	Tofar Chih-Yuan Chang　Office Hours
Email	tofar@mail.ntut.edu.tw
Last Updated	2026-09-05 14:56:57
Course Objective	機率空間；組合分析；聯合分佈隨機變數；動差函數及特徵函數；大數法則及中央極限定理。 This course is designed for students to get concepts and methods of Probability and Statistics.
Course Schedule (Week 1-16)	[重要] 因授課教師開學第一週有重要會議需參加，故本課程將於第二週(115/09/14)正式上課。第一週之補課事宜會在課堂上告知修課同學。 [Important Notice] Due to an important meeting that the instructor must attend during the first week of the semester, this course will officially begin in the second week (September 14, 2026). Arrangements for the make-up class for the first week will be announced to enrolled students during class. Week 2-4 Sample space and probability - Sets - Probabilistic Models - Conditional Probability - Total Probability Theorem and Bayes’ Rule - Independence - Counting Week 5-8 Discrete random variables - Basic Concepts - Probability Mass Functions - Functions of Random Variables - Expectation, Mean, and Variance - Joint PMFs of Multiple Random Variables - Conditioning - Independence Week 9-14 General Random Variables: - Continuous Random Variables and PDFs - Cumulative Distribution Functions - Normal Random Variables - Joint PDFs of Multiple Random Variables - Conditioning - Independence Week 15-16 Selected further topics (課程內容與授課進度將視實際授課情況與學習狀況滾動式調整)
Flexible Learning (Week 17-18)	Category ● 學生分組實作及討論(Student group practice and discussion) ● 線上數位教材學習(Coursera、edX、磨課師等)(Online digital learning (Coursera, edX, MOOCs, etc.)) ● AI 輔助學習與工具應用(AI-assisted learning and tool application) Content 利用網路資源與線上課程學習相關知識， 鼓勵學生以正確方式應用AI。同時鼓勵與歡迎學生自行提案並與老師討論，經通過後實行該提案。 Students are encouraged to learn relevant knowledge through online resources and courses and to use AI appropriately and responsibly. Students are also encouraged to propose their own projects, discuss them with the instructor, and carry them out upon approval. Hours 6 Learning Outcomes 以報告形式呈現。報告類型含：口頭報告、投影片報告、文書報告、或其他與授課教師討論過後獲可之形式。至少擇一呈現。 Students are required to present their learning outcomes in the form of a report. Acceptable formats include an oral presentation, slide presentation, written report, or other formats approved by the instructor in advance. Students must complete at least one of these formats. Assessment Percentage 評量比例含於作業與課堂參與之學期總成績30%中。 為鼓勵學生培養自我學習、探索自我潛能與正確應用現代科技技術之能力，報告優秀者將額外加分。 This component is included in the 30% of the final course grade allocated to assignments and class participation. To encourage students to develop independent learning skills, explore their own potential, and learn to use modern technologies appropriately and effectively, outstanding reports or projects may receive additional bonus points.
Evaluation and grading policy	Midterm: 35% Final exam: 35% Assignments & Class participation: 30%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes D. P. Bertsekas and J. N. Tsitsiklis, “Introduction to Probability,”2nd Edition, Athena Scientific Inc., 2008
The access to curricular consultation	Mon. 13:00–15:00 & Tue. 18:00–20:00, 214B, Integrated Technology Complex Building. (Advance appointment required.) Students may also contact the instructor by e-mail (tofar@mail.ntut.edu.tw).
Expanding teaching and resources	● 參與式創新教學 (Participatory & Innovative Teaching) 強調學生參與與產出，導入翻轉、PBL/專題、設計思考或遊戲化等策略。 Emphasizes student engagement and outcomes by adopting strategies such as Flipped Classroom, PBL (Problem/Project- Based Learning), Design Thinking, or Gamification. ● 數位科技融入 (Digital Technology Integration) 運用生成式AI、VR/AR、IoT、IRS等新興科技輔助教學與評量。 Utilizes emerging technologies such as Generative AI, VR/AR, IoT, and IRS (Interactive Response Systems) to facilitate teaching and assessment.
The course corresponds to the SDGs	SDG3：良好健康和福祉（Good Health and Well-being） SDG4：優質教育（Quality Education） SDG10：減少不平等（Reduced Inequalities） SDG16：和平正義與有力的制度（Peace, Justice and Strong Institutions）
Does the course incorporate AI	● 使用生成式AI作為教學過程的輔助工具（Use generative AI tools as an aid to the teaching process） ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
Note	[重要] 因授課教師開學第一週有重要會議需參加，故本課程將於第二週(115/09/14)正式上課。第一週之補課事宜會在課堂上告知修課同學。 [Important Notice] Due to an important meeting that the instructor must attend during the first week of the semester, this course will officially begin in the second week (September 14, 2026). Arrangements for the make-up class for the first week will be announced to enrolled students during class.