基本素養 Basic Literacy

畢業生應具備科技人文素養及資訊工程倫理之精神
graduates should equip with both the attitude of technological/cultural literacy and the consciousness of information engineering ethics
畢業生應具備良好溝通技巧及國際觀
graduates should equip with appropriate communication skill and global view

核心能力 Competence

畢業生應具備基礎專業數學及資訊理論知識之基本能力
graduates should equip with the basic capability of the fundamental of professional mathematics and theoretical knowledge in informatics
畢業生應具備資訊理論推導及實驗設計、數據分析歸納之能力
graduates should equip with the capability of information theory derivation、experiment design and experimental data analysis/induction
畢業生應具備培養學習興趣及持續學習之能力
graduates should equip with the capability of learning interest development and continuous learning
畢業生應具備獨立、創新思維及發掘、分析、解決資訊相關問題之能力
graduates should equip with the capability to think creatively and independently and to explore, analyze, and solve information-related problems
畢業生應具備資訊系統設計、測試及驗證之能力
graduates should equip with the information system ability in designing and verification
畢業生應具備資訊系統整合之能力
graduates should equip with the capability of system integration
畢業生應具備負責之工作態度及有效團隊合作之能力
graduates should equip with a responsible attitude in working and the capability of effective team-work collaboration
具備有效溝通表達的專業語文能力

課程概述 Course Description

廣泛地介紹計算機使用之數學相關之理論及應用,其中包括離散方法、代數學、邏輯、組合論、圖論、有限狀態機及演算法分析等。
This course broadly introduces the mathematics theorems and application of computation usage. It will introduce the fundamental principles of counting, logic, set theory, mathematical induction, relations, finite state machine, the principle of inclusion and exclusion, generating functions, recurrence relations, and graph theory.

課程學習目標 Course Objectives

使學生了解離散數學的基礎知識和背景,引導學生建立演算理論之基本能力,並學習理論推導以及解決問題之能力。

課程進度 Progress Description

進度說明 Progress Description
1Fundamental Principles of Counting
2Fundamentals of Logic (1)
3Fundamentals of Logic (2)
4Set Theory (1)
5Set Theory (2)
6Properties of the Integers: Mathematical Induction (1)
7Properties of the Integers: Mathematical Induction (2)
8Relations and Functions (1)
9Midterm Exam
10Relations and Functions (2)
11Languages: Finite State Machines
12elations: The Second Time Around (1)
13elations: The Second Time Around (2)
14The Principle of Inclusion and Exclusion
15Generating Functions
16Recurrence Relations
17An Introduction to Graph Theory
18Final Exam
 以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

課程學習融入下列議題或具有下列內涵的程度
Immersing the Following Issues or Contents

議題或內容 Issues or Contents關聯性 Correlation
觀光旅遊產業 Tourism 無相關 No correlation
綠色能源產業 Green Energy Industry 無相關 No correlation
文創產業 Cultural and creative Industry 無相關 No correlation
環境保護 Environmental Protection 無相關 No correlation
人權教育 Human Rights Education 無相關 No correlation
服務學習 Service Learning 無相關 No correlation
性別平等 Gender Equity 無相關 No correlation
法治教育 Law-Related Education 無相關 No correlation
工作實務取向 Pragmatic Orientation 無相關 No correlation
生命教育 Life Education 無相關 No correlation
智慧財產權 Intellectual Property 無相關 No correlation
環境安全 Environmental Safety 無相關 No correlation
健康醫療照護產業 Health,Medical Treatment, Nursing Industry 無相關 No correlation
精緻農業產業 Advanced Agriculture 無相關 No correlation
生物科技產業 Biotechnology Industry 無相關 No correlation
學術研究取向 Academic Orientation 直接相關 Direct correlation

有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講? 否
Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No