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課程名稱 |
演算法的數學解析
Mathematical Analysis of Algorithms |
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開課學期 |
112-2 |
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授課對象 |
電機資訊學院 資訊工程學系 |
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授課教師 |
陳文進 |
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課號 |
CSIE7008 |
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課程識別碼 |
922 M1250 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二3,4(10:20~12:10)星期五4(11:20~12:10) |
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上課地點 |
資107資107 |
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備註 |
總人數上限：50人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
1. Recurrences
2. Sums
3. Integer Functions
4. Elementary Number Theory
5. Binomial Coefficients, Hyper-geometric Functions
6. Special Numbers
7. Generating Functions
8. Discrete Probability
9. Asymptotics
10. Mathematical Analysis of Fundamental Algorithms |
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課程目標 |
Provide mathematical foundation for the detailed analysis of algorithms. |
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課程要求 |
1. Weekly homework
2. Midterm exam
3. Final exam |
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預期每週課後學習時數 |
20 hours |
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Office Hours |
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指定閱讀 |
Textbook: Graham, Knuth, and Patashnik: Concrete Mathematics: A Foundation for Computer Science, 2nd Ed., Addison-Wesley, 1994 |
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參考書目 |
1. D.E. Knuth: The Art of Computer Programming, 1: Fundamental Algorithms, 3rd Ed., Addison-Wesley, 1997
2. D.E. Knuth: The Art of Computer Programming, 2: Seminumerical Algorithms, 3rd Ed., Addison-Wesley, 1997
3. D.E. Knuth: The Art of Computer Programming, 3: Sorting and Searching, 2nd Ed., Addison-Wesley, 1998
4. D. Green and D.E. Knuth: Mathematics for the Analysis of Algorithms, 3rd Ed., Birkhauser, 1990
5. R. Sedgewick and P. Flajolet: An Introduction to the Analysis of Algorithms, 2nd Ed., Addison-Wesley, 2013
6. P. Flajolet and R. Sedgewick: Analytic Combinatorics, Cambridge University Press, 2009 |
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評量方式
(僅供參考) |
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