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1032 - 離散數學 Discrete Mathematics


教育目標 Course Target

培養學生對於基礎離散數學之認知,增進理解、分析、推理及應用能力。Cultivate students' understanding of basic dispersed mathematics and improve their understanding, analysis, reasoning and application capabilities.


課程概述 Course Description

本課程為大學部三年級之必修課程,本課程除了教授學生們已知的數學外還教導學生們如何利用數理邏輯方法進行分析,建立出適當的模式,再發展出一個有效率的演算法來解決相關的問題。 本課程共有四個主要教學主題,分別為(一)教學推論(含基本運算和證明建構方法)、(二)組合學分析、(三)離散結構(含圖論)、(四)演算法 本課程教授上述四個主題之外,也強調相關的應用,例如使用基本整數論和知識,發展出和模算數相關演算法(如超大整數的四則運算),在進行RSA譯碼學分析。 學生們順利修讀本課程後,除了可以學習到一些數學的知識外,更重要的是建立符合邏輯的數理分析與推論態度與方法,碰到實務問題時,可以順利解析問題的重點,再運用或發展合宜的模式與演算法解決問題。
This course is a three-year compulsory course in the university department. In addition to teaching students known mathematics, this course also teaches students how to use mathematical logic methods to analyze, establish an appropriate model, and develop an efficient algorithm to solve related problems. There are four main teaching topics in this course, namely (1) teaching recommendations (including basic calculation and certification construction methods), (2) combined analysis, (3) dispersion structure (including diagrams), and (4) algorithms In addition to teaching the above four topics, this course also emphasizes related applications, such as using basic integers and knowledge, developing algorithms related to modular algorithms (such as four calculations of super-large integers) to conduct RSA translation analysis. After students successfully read this course, in addition to learning some mathematical knowledge, it is more important to establish a logically oriented mathematical analysis and recommendation attitude and methods. When encountering practical problems, they can successfully analyze the key points of the problem, and then use or develop appropriate models and algorithms to solve the problem.


參考書目 Reference Books

Discrete and Combinatorial Mathematics ; Grimaldi
discrete and combinerial mathematics ; Grimaldi


評分方式 Grading

評分項目 Grading Method 配分比例 Grading percentage 說明 Description
平常考試及作業平常考試及作業
Normal exams and exercises
30
期中考期中考
Midterm exam
30
期末考期末考
Final exam
30
期中複習考期中複習考
Midterm retrieval exam
5
期末複習考期末複習考
Final retrieval exam
5

授課大綱 Course Plan

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Course Information

Description

學分 Credit:3-0
上課時間 Course Time:Tuesday/2,3,4[C205]
授課教師 Teacher:羅文聰
修課班級 Class:資工系數創組2
選課備註 Memo:
授課大綱 Course Plan: Open

選課狀態 Attendance

There're now 53 person in the class.
目前選課人數為 53 人。

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