一、課程基本資料 Course Information | ||||||||||||||||||||||||||||||||||||
科目名稱 Course Title: (中文)離散數學全英語授課 (英文)DISCRETE MATHEMATICS |
開課學期 Semester:110學年度第2學期 開課班級 Class:資二B |
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授課教師 Instructor:江清水 CHIANGCHING-SHOEI | ||||||||||||||||||||||||||||||||||||
科目代碼 Course Code:BCP20802 | 單全學期 Semester/Year:單 | 分組組別 Section:全英語授課 | ||||||||||||||||||||||||||||||||||
人數限制 Class Size:80 | 必選修別 Required/Elective:必 | 學分數 Credit(s):3 | ||||||||||||||||||||||||||||||||||
星期節次 Day/Session: 二56 四34單 | 前次異動時間 Time Last Edited:110年12月17日14時23分 | |||||||||||||||||||||||||||||||||||
資訊管理學系基本能力指標 Basic Ability Index | ||||||||||||||||||||||||||||||||||||
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二、指定教科書及參考資料 Textbooks and Reference (請修課同學遵守智慧財產權,不得非法影印) |
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●指定教科書 Required Texts Discrete Mathematics and Its Applications by Kenneth H. Rosen ●參考書資料暨網路資源 Reference Books and Online Resources | ||||||||||||||||||||||||||||||||||||
三、教學目標 Objectives | ||||||||||||||||||||||||||||||||||||
本課程之目標,在於培養學生了解離散數學之基本原理以及其應用。 | ||||||||||||||||||||||||||||||||||||
The goal of this course is to teach student realize the basic theorem of discrete mathematics and its application. | ||||||||||||||||||||||||||||||||||||
四、課程內容 Course Description | ||||||||||||||||||||||||||||||||||||
●整體敘述 Overall Description 本課程每週之之內容包括:(1) Logic, Predicates and quantifiers, Sets. (2) Functions, Sequences and summations, The growth Functions. (3) Algorithms, Complexity of algorithms. (4) Integers and Algorithms, Applications of Number theorem, Matrices. (5) Mathematical induction, Recursive definition and algorithm. (6) Program correctness, Counting, Pigeonhole Principle. (7) Permutations and combinations, Probability. (8) Advance Counting Techniques: Recurrence relations, Divide-and-conquer, Generating function, (9) Relations (10) Partial order, Graphs: Introduction, terminology, Representation. (11) Graphs: Isomorphism, connectivity, Euler and Hamilton path, Shortest path. (12) Trees: Travel, Sorting, Spanning tree, minimal spanning tree. (13) Boolean Algebra (14) Languages and grammars, Finite-state-machine. (15) Language Recognition, Turing Machines. (16) Special Topics: Mathematics and Programming Language (17) Review (18) Final Examination. |
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●分週敘述 Weekly Schedule |
五、考評及成績核算方式 Grading | ||||||||||||||||
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六、授課教師課業輔導時間和聯絡方式 Office Hours And Contact Info | ||||||||||||||||
●課業輔導時間 Office Hour 三 34 四 78 |
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●聯絡方式 Contact Info
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七、教學助理聯絡方式 TA’s Contact Info | |||||
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八、建議先修課程 Suggested Prerequisite Course | |||||
九、課程其他要求 Other Requirements | |||||
十、學校教材上網、數位學習平台及教師個人網址 University’s Web Portal And Teacher's Website | |||||
學校教材上網網址 University’s Teaching Material Portal: 東吳大學Moodle數位平台:http://isee.scu.edu.tw |
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學校數位學習平台 University’s Digital Learning Platform: ☐東吳大學Moodle數位平台:http://isee.scu.edu.tw ☐東吳大學Tronclass行動數位平台:https://tronclass.scu.edu.tw | |||||
教師個人網址 Teacher's Website:http://www.cis.scu.edu.tw/~chiang | |||||
其他 Others: | |||||
十一、計畫表公布後異動說明 Changes Made After Posting Syllabus | |||||