演算法 (課號 : 50339000 )內容 :

本課程是電機工程學系計算機類課程之必選課，對象以對利用計算機來解決問題有興趣的同學為主。本課程主要是教授基本的演算法分析與設計技巧，並整理及比較目前最重要之演算法。

• Theme: What is the best algorithm for a given problem

• Three things you will learn:

1. Design a good algorithm

2. Analyze (and verify) it

3. Lower bounds: know when to stop.

Grading

1. 作業 (10%)– 3-4 homework

2. 程式 (15%) – 1 or 2 program assignments

3. 期中考 (35%)

4. 期末考 (40%)

Course Information

• Instructor: 顏嗣鈞– E-mail: yen@cc.ee.ntu.edu.tw– Office: Rm. 540, E.E. Building II– Phone: 2363 5251 ext. 540– http://www.ee.ntu.edu.tw/~yen– Office Hours: by appointment

• Teaching Assistant: to be announced later

• Web site: http://www.ee.ntu.edu.tw/~yen/courses/algorithm01.html

Text Book• T. Cormen, C. Leiserson,

and R. Rivest,• Introduction to Algorith

ms, • MIT Press and McGraw-

Hill Book Company, 1990.

• We will refer to this book as “CLR”

Reference Books• G. Brassard and P. Bratle

y, • Fundamentals of Algorith

mics, • Prentice-Hall, 1996.

Reference Books

• G. Rawlins, • Compare to What? An

Introduction to the Analysis of Algorithms,

• Computer Science Press, 1992.

Reference Books• D. E. Knuth, • The Art of Computer Prog

ramming, Vol. 1 and 3, Third Edition,

• Addison Wesley, 1997.

Reference Books

• D. Harel, • The Science of Computing,

• Addison Wesley, 1987.

Reference Books

• Robert Sedgewick, • Algorithms (in C, C++, P

ascal), Second Edition, • Addison Wesley, 1992

Reference Books• U. Manber, • Introduction to Algorithm

s, • Addison Wesley, 1989.

Reference Books• J. Nievergelt, • Algorithms and Data Stru

ctures (With Applications to Graphics and Geometry),

• Prentice-Hall, 1993.

Reference Books

• B. Moret and H. Shapiro,

• Algorithms from P to NP, Vol. 1,

• The Benjamin/Cummings Publishing Company, Inc., 1991.

Topics• Introduction to algorithm design and analysis.

• Techniques for algorithm analysis– Useful formulas.– Recurrence relations.

Topics• Techniques for algorithm design

– Divide and conquer, partitioning.– Dynamic programming.– Greedy algorithms.– Backtracking.– Tree based algorithms.– Recursion.– Approximations. – Problem Transformation, reduction.– Integer programming.– Probabilistic techniques.

Topics• Sorting and searching algorithms.• Geometric algorithms• Graph algorithms. • Pattern matching algorithms • Cryptographic algorithms.• Network flow algorithms.

• Intractable problems.– Introduction to computational complexity.– Reductions– NP completeness.

TopicsIf time permits, the following topics will be covered:

• Introduction to program verification.

• Introduction to approximation algorithms.

• Introduction to probabilistic algorithms.

• Introduction to parallel algorithms.

• Introduction to distributed algorithms.