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Syllabus of Numerical Analysis (I) 數值分析 (一) 課程簡介

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Syllabus of Numerical Analysis (I) 數值分析 (一) 課程簡介

Hung-Yuan Fan (范洪源)

Department of Mathematics, National Taiwan Normal University, Taiwan

Spring 2016

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Course Information

Instructor: Hung-Yuan Fan (范洪源) TA: 胡政德 (師大數學系博士生)

Course: Numerical Analysis (I), 數值分析 (一) Course No.: MAU0019, 數三, 必修 3 學分

Time: Every Tuesday, 133:20–16:20 (每週二第 6 至 8 節) Place: 理圖 807, 公館校區

Textbook: R. L. Burden and J. D. Faires, Numerical

Analysis, 9th ed,. Brooks/Cole, Cengage Learning, 2011

Course Website:

http://math.ntnu.edu.tw/~hyfan/linked_files/

courses/NumerAnal/104_2_NumerAnal.htm

Hung-Yuan Fan (范洪源), Dep. of Math., NTNU, Taiwan 數值分析 (一) 課程簡介 2/5

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Overview

Computational Mathematics (or Numerical Mathematics) contains two research subareas:

1 Numerical Linear Algebra (數值線性代數) Chap. 2 Solutions of Equations in One Variable Chap. 10 Numerical Solutions of Nonlinear Systems of Equations

Chap. 6 Direct Method for Solving Linear Systems Chap. 7 Iterative Techniques in Matrix Algebra Chap. 9 Approximating Eigenvalues (Optional)

2 Numerical ODEs/PDEs (數值微分/偏微分方程式)

Chap. 3 → Chap. 4 → Chap. 5 → Chap. 11 → Chap. 12

Note:

Preliminaries are given in Chap. 1

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Overview

Computational Mathematics (or Numerical Mathematics) contains two research subareas:

1 Numerical Linear Algebra (數值線性代數) Chap. 2 Solutions of Equations in One Variable Chap. 10 Numerical Solutions of Nonlinear Systems of Equations

Chap. 6 Direct Method for Solving Linear Systems Chap. 7 Iterative Techniques in Matrix Algebra Chap. 9 Approximating Eigenvalues (Optional)

2 Numerical ODEs/PDEs (數值微分/偏微分方程式)

Chap. 3 → Chap. 4 → Chap. 5 → Chap. 11 → Chap. 12

Note:

Preliminaries are given in Chap. 1

Hung-Yuan Fan (范洪源), Dep. of Math., NTNU, Taiwan 數值分析 (一) 課程簡介 3/5

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Evaluation (評分標準)

期中考試佔 35% (第 9 週隨堂考) 期末考試佔 35% (第 18 週隨堂考) 程式作業或報告佔 15%

TA 平時成績佔 15% (上課時間另定)

詳細情形請參考本課程教學網頁,謝謝!

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Any Questions?

Hung-Yuan Fan (范洪源), Dep. of Math., NTNU, Taiwan 數值分析 (一) 課程簡介 5/5

參考文獻

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