一、課程說明(Course Desc<x>ription)
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<br>Mathematics is one of the most important subjects in applied sciences. Though most of us have had 
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<br>extensive training in Mathematics, solving mathematical problems to get numerical answers are not 
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<br>immediately obvious to most of the students. In this course, how to use computers to solve mathematical 
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<br>problems to finding approximated numerical solutions will be introduced.  This capability should help 
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<br>students in future researches or even industrial career to solve real life problems. Theories in Numerical 
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<br>Analysis will be introduced with extensive hand-on programming homework.
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<br>二、指定用書(Text Books)
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<br>Numerical Mathematics, 2nd edition, by A. Quarteroni, R. Sacco, F. Saleri, Springer, 2007.
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<br>三、參考書籍(References)
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<br>Introduction to Numerical Analysis, 3rd edition, by J. Stoer, R. Bulirsch, Springer, 2002.
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<br>Introduction to Numerical Analysis, 2nd edition, by E.B. Hildebrand, Dover, 1987.
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<br>Numerical Recipes in C, by W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Cambridge University 
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<br>Press, 1988.
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<br>四、教學方式(Teaching Method)
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<br>Lecture and discussions.
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<br>五、教學進度(Syllabus)
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<br>0. Introduction
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<br>1. Linear system solutions
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<br>2. Numerical errors
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<br>3. Iterative solutions
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<br>4. Eigenvalues
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<br>5. Interpolations
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<br>6. Integrations
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<br>7. Nonlinear system solutions
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<br>8. Ordinary differential equations
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<br>9. Boundary value problems
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<br>六、成績考核(Evaluation)
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<br>Homework: 50%
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<br>Midterm exam: 20%
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<br>Final exam: 30%
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<br>七、可連結之網頁位址
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<br>To be provided later.