朝陽科技大學 097學年度第1學期教學大綱
Discrete Mathematics 離散數學

當期課號 2732 Course Number 2732
授課教師 吳世弘 Instructor WU,SHIH HUNG
中文課名 離散數學 Course Name Discrete Mathematics
開課單位 資訊工程系(四日)三B Department  
修習別 必修 Required/Elective Required
學分數 3 Credits 3
課程目標 "離散數學是所有數位資訊處理的基礎. 學生在修習完此課程後, 將可瞭解以下知識: (1)讓學生更精明; (2)解決某些有趣的問題; (3)提昇學生的邏輯及思考能力. 學生在修習完此課程後, 將可瞭解以下主題: 計數的基本原則, 邏輯的基礎, 集合理論, 數學歸納法, 關係與函數, 有限狀態機語言, 包含與排除的原則, 生成函數, 遞迴關係, 圖形理論的介紹, 樹, 與最佳化和配對. " Objectives Discrete Mathematics is the basis of all of “digital” information processing. After completing this course, students will realize the following: (1) Make students smarter; (2) Solve interesting problem; (3) Promote the logic and thinking capabilities of the students. After completing this course, students will realize the following topics: Fundamental Principles of Counting, Fundamentals of Logic, Set Theory, Mathematical Induction, Relations and Functions, Languages: Finite State Machines, The Principle of Inclusion and Exclusion, Generating Functions, Recurrence Relations, An Introduction to Graph Theory, Trees, and Optimization and Matching.
教材 課本:
R.P. Grimaldi, “Discrete and Combinatorial Mathematics”, 5th edition, Addison Wesley, 2004. (東華代理)
Teaching Materials 課本:
R.P. Grimaldi, “Discrete and Combinatorial Mathematics”, 5th edition, Addison Wesley, 2004. (東華代理)
成績評量方式 1. 隨堂考n次(Course Exam): 20%
2. 小考n次(Quizzes): 20%
3. 期中考(Midterm Exam): 30%
4. 期末考(Final Exam): 40%
5. 課程參與(Participation): 5%
Grading 1. Course Exams: 20%
2. Quizzes: 20%
3. Midterm exams: 30%
4. Final Exam: 40%
5. Course Participation: 5%
教師網頁 http://www.csie.cyut.edu.tw/~shwu
教學內容 離散數學課程的主題: 計數的基本原則, 邏輯的基礎, 集合理論, 數學歸納法, 關係與函數, 有限狀態機語言, 包含與排除的原則, 生成函數, 遞迴關係, 圖形理論的介紹, 樹, 與最佳化和配對. Syllabus Discrete Mathematics includes the following topics: Fundamental Principles of Counting, Fundamentals of Logic, Set Theory, Mathematical Induction, Relations and Functions, Languages: Finite State Machines, The Principle of Inclusion and Exclusion, Generating Functions, Recurrence Relations, An Introduction to Graph Theory, Trees, and Optimization and Matching.
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