計算生物基礎數學   (91年度 下學期)

1. Introduction 2. Solving Linear Systems of Equations 3. Vector Space and Linear Transform 4. Orthogonality 5. Least Squarcs Fitting Problems 6. Eigenvalucs and Eigenvectors 7. Ordinary Differential Equations 8. Matlab Solutions for Numerical Linear Algebra 9. Sample Space and Random Variables 10. Probability Distributions 11. Markov Chain 12. Hidden Markov Model 13. Principal Component Analysis 14. Linear Discriminant Analysis (optional) 15. Solving Linear Recurrence Equations (optional) 16. Huffman Trec (optional) 17. Minimum Spanning Tree (optional) 18. Traveling Salesman Problem (optional) 19. Pattern Matching Problem (optional) 20. Newton-Raphson Method for Nonlinear Systems (optional)

Textbook：Class Notes. S. J. Leon, Linear Algebra with Applications (v.6, 2002). R. V. Hogg and E.A. Tanis, Probability and Statistical Inference (v.6, 2001). References：P. Blanchard, R. L. Devaney, and G. R. Hall, Differential Equations (v.2, 2002). D. Hanselman and B. Littlefield, Mastering MatLab 5 (1998) W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in C++ (v.3, 2002). K. H. Rosen, Discrete Mathematics and Its Applications (v.3, 1995+).

Assignments (70%) and Exam(s) (30%).

Prerequisites：Calculus