Algorithms
本課程是由 國立陽明交通大學電機工程學系 提供。
The study of algorithms is at the heart of the computer science.
This course focuses on fundamental results in this area, including the unifying principles and underlying concepts of algorithm design and analysis.
We expect everyone to be comfortable reading, even writing, proofs. Several programming assignments will be given to embody the ideas.
Moreover, we hope that everyone can learn general problem-solving techniques.
Intended audience:
1. who are interested in computer science
2. who are computing something
3. who are learning problem-solving techniques
Textbook：
J. Kleinberg and E. Tardos, Algorithm Design, Addison Wesley, 2006.
(J. Kleinberg, 20 Best Brains under 40, Discover Magazine, 2008)
For perfect learning results, please buy textbooks!
| Instructor(s) | College of Electrical and Computer Engineering Prof. Hui-Ru Jiang |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 103 Academic Year |
| Level | College Students |
| Prior Knowledge | 1. Data structures 2. Discrete mathematics 3. Computer programming in C 4. Computer programming in C++ |
| Related Resources | Course Video Course Syllabus Course Calendar |
| Week | Course Content | Course Video |
|---|---|---|
| Ch0 系統工程概論 Fundamental Concepts of System Engineering | Watch Online | |
| Ch1 可變結構系統理論 (1/2) Variable Structure System Theory | Watch Online | |
| Ch1 可變結構系統理論 (2/2) Variable Structure System Theory | Watch Online | |
| Ch2 順滑模態原理 (1/2) Sliding Mode Theory | Watch Online | |
| Ch2 順滑模態原理 (2/2) Sliding Mode Theory | Watch Online | |
| Ch3 順滑模態控制器設計 (1/2) Sliding Mode Controller Design | Watch Online | |
| Ch3 順滑模態控制器設計 (2/2) Sliding Mode Controller Design | Watch Online | |
| Ch4 線性非時變系統之順滑模態控制法則設計 (1/3) Sliding Mode Controller Design of LTI Systems | Watch Online | |
| Ch4 線性非時變系統之順滑模態控制法則設計 (2/3) Sliding Mode Controller Design of LTI Systems | Watch Online | |
| Ch4 線性非時變系統之順滑模態控制法則設計 (3/3) Sliding Mode Controller Design of LTI Systems | Watch Online | |
| Ch5 輸出回授型之順滑模態控制器設計 Output-Feedback Sliding Mode Controller Design | Watch Online | |
| Ch6 機械手臂之順滑模態控制器設計 (1/2) Sliding Mode Controller Design of Robotic Manipulators | Watch Online | |
| Ch6 機械手臂之順滑模態控制器設計 (2/2) Sliding Mode Controller Design of Robotic Manipulators | Watch Online | |
| Ch7 虛擬根值法之順滑模態控制 Pseudo Eigenvalue Method | Watch Online | |
| Ch8 旋轉式倒立單擺之積分型順滑模態控制 Integral Sliding Mode Controller Design of a Rotary Inverted Pendulum | Watch Online |
課程目標
The study of algorithms is at the heart of the computer science.
This course focuses on fundamental results in this area, including the unifying principles and underlying concepts of algorithm design and analysis.
We expect everyone to be comfortable reading, even writing, proofs. Several programming assignments will be given to embody the ideas.
Moreover, we hope that everyone can learn general problem-solving techniques.
Intended audience:
1. who are interested in computer science
2. who are computing something
3. who are learning problem-solving techniques
課程章節
| 主題 | 內容綱要 |
| Introduction | Stable matching and some representative problems |
| Basics of algorithm analysis | Asymptotic order of growth, case study on stable matching |
| Graphs | Connectivity, traversal, bipartiteness testing, topological sorting |
| Greedy algorithms | Interval scheduling, shortest paths, minimum spanning tree, (Huffman codes) |
| Divide and conquer | Mergesort, recurrence relations, counting inversions, finding the closest pair of points, (convolutions & FFT) |
| Dynamic programming | Weighted interval scheduling, memoization/iteration, segented least squares, subset sums & Knapsacks, RNA secondary structure, sequence alignment, shortest paths |
| Network flow | Maximum-flow and min-cut, bipartite matching, airline scheduling |
| NP and computational intractability | Polynomial-time reductions, satisfiability, NP, NP-completeness, graph coloring |
| PSPACE | Optional |
| Approximation algorithms | Optional |
| Local search | |
| Randomized algorithms | Optional |
| Algorithms that run forever | Optional |
課程書目
§ Required text
J. Kleinberg and E. Tardos, Algorithm Design, Addison Wesley, 2006.
(J. Kleinberg, 20 Best Brains under 40, Discover Magazine, 2008)
§ Reference book
S. Dasgupta, C. Papadimitriou, and U. Vazirani, Algorithms, McGraw-Hill, 2007.
評分標準
| 項目 | 百分比 |
| Homework assignments | 15% |
| Programming assignments | 10% |
| Projects | 25% |
| Two open book in-class tests | 25%+25% |
本課程行事曆提供課程進度與考試資訊參考。
學期週次 | 上課日期 | 參考課程進度 |
第一週 | 09/15、09/17 |
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| 第二週 | 09/22、09/24 |
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| 第三週 | 09/29、10/01 |
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| 第四週 | 10/06、10/08 |
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| 第五週 | 10/13、10/15 |
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| 第六週 | 10/20、10/22 |
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| 第七週 | 10/27、10/29 |
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| 第八週 | 11/03、11/05 |
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| 第九週 | 11/10、11/12 |
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| 第十週 | 11/17、11/19 |
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| 第十一週 | 11/24、11/26 |
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| 第十二週 | 12/01、12/03 |
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| 第十三週 | 12/08、12/10 |
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| 第十四週 | 12/15、12/17 |
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| 第十五週 | 12/22、12/24 |
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| 第十六週 | 12/29、01/31 |
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| 第十七週 | 01/05、01/07 |
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| 第十八週 | 01/12、01/14 |
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