課程內容

課程內容

數值分析
	2004 (text book: (1) Numerical Analysis, R. L. Burden and J. D. Faires (2) Numerical Analysis, D. Kincaid and W. Cheney Mathematical Preliminaries Computer Arithmetic Solution of Nonlinear Equations Direct Methods for Solving Systems of Linear Equations Iterative Methods for Solving Systems of Linear Equations Numerical Solutions of Nonlinear Systems of Equations Initial-Value Problems for Ordinary Differential Equations Boundary-Value Problems for Ordinary Differential Equations 2008 (text book: Numerical Analysis, 8th edition, R. L. Burden and J. D. Faires) Mathematical Preliminaries and Error Analysis MATLAB programs: (a). ex_check_tol.m (b). ex_digit_1.m (c). ex_digit_sqrt_root.m (d). ex_unstable.m 習題：Page 27: 11, 12, 15, 18 Page 36: 2, 6, 14, 16 Solutions of Equations in One Variable MATLAB programs: (a). main.m (b). newton.m (c). f.m (d). df.m 習題：Page 52: 12, 16, 18 Page 61: 1, 7, 16, 20 (10月21日交) Page 72: 17 (程式作業,10月28日交程式及書面比較結果) Page 82: 6, 8, 10 Page 86: 2, 4, 14, 15 (10月28日交) Page 96: 7 (程式作業) Interpolation and polynomial approximation MATLAB programs: (a). Example 5 in Section 3.1 (b). Neville's method (c). Example 1 in Section 3.2 (d). Newton_Divided_Difference.m (e). poly_val.m (f). Example 3 in Section 3.4 (g) chap3_ex32_clamped.m (h) cubic_spline_clamp.m 習題：Page 115: 1, 3, 6 (a) and (b), 8 (a) and (b), 11, 18, 22 Page 127: 3, 5, 8, 10, 13, 18 Page 135: 5, 10 Page 153: 12, 13, 15, 25, 29, 32, 33 (32和33為程式作業) Numerical differentiation and integration 　習題：Page 176: 3, 7, 20, 25 Page 184: 5, 12 Page 195: 2, 16, 17, 22 Page 203: 9, 10, 15 　 Initial-Value Problems for Ordinary Differential Equations Direct Methods for Solving Linear Systems Iterative Techniques in Matrix Algebra Numerical Solutions of Nonlinear Systems of Equations Octave software MATLAB基本功能介紹學期成績期中考 25% 期末考 25% 作業 30% (程式：15%，習題：15%) 平時 20% (點名未到，一次扣3分) 11月4日上課地點改在資訊中心(計中)801教室
程式設計 (Fortran 90/95)
	Introduction Basic Elements of Fortran 輸出入及宣告 first_program, ex0301, ex0302, ex0303, ex0304 ex0305, ex0306, ex0307, ex0308, ex0309, ex0310 ex0311, ex0312 流程控制 ex0401, ex0402, ex0403 迴圈 ex0501, ex0502, ex0503, ex0504, ex0505, ex0506 , test_rand 　陣列 ex0601, ex0602, ex0603 Subroutine and Function ex0701, ex0702, ex0703, ex0704, ex0705, ex0706 檔案 read, ex0801, ex0802, ex0803 指標模組 ex0901, ex0902, ex0903, ex0904, ex0905, exe0901 期中考 89學年, 90學年, 90學年說明, 91學年 91學年參考答案期末考 90學年, 91學年程式一，程式二，程式三(2003)
程式設計 (MATLAB, 2009)
	MATLAB 簡介 MATLAB 基本功能介紹 Construct right hand side vector of linear system 分支宣告與程式設計迴圈使用者定義函式其它的資料型態與繪圖型態期中考 (2009/4/20) 2008/4/23 (考題說明) 期末考 (2009/6/15) PROJECT text book: MATLAB Programming for Engineers, Stephen J. Chapman (MATLAB 程式設計與應用, 張聖明譯) 學期成績期中考 40% 期末考 20% 作業 30% 平時 10% (點名未到，一次扣1分)

工程數學 (text book: Advanced Engineering Mathematics, 2nd edition, D. G. Zill and M. R. Cullen)
	Introduction to Differential Equations First-Order Differential Equations Higher-Order Differential Equations The Laplace Transform Series Solutions of Linear Equations Orthogonal Functions and Fourier Series Boundary-Value Problems in Rectangular Coordinates Boundary-Value Problems in Other Coordinate Systems
矩陣計算 (text book: Matrix algorithms -- Volume II: Eigensystems, G. W. Stewart)
	Eigensystems The QR Algorithm The Symmetric Eigenvalue Problem Eigenspaces and their Approximation Krylov Sequence Methods
電子計算機概論 (text book: Discovering computers 2006 -- a gateway to information, Shelly, Cashman and Vermaat)
	Introduction to Computers 數字系統與資料表示法 The Components of the System Unit Input Output Storage Operating Systems and Utility Programs Communications and Networks Programming Languages and Program Development 公告欄

NCTS 2005 Winter school on Scientific Computation
	Numerical methods for matrix eigenvalue problems (六小時)

2005 NCTS 春季專題課程 High-order Methods for PDEs and Related Topics
	Iterative methods for solving linear systems (九小時)

NCTS 2005 Summer Program --- NCTS Summer Courses on Dynamical Systems
	Computational chaotic dynamical systems (三小時)