一、課程說明(Course Desc<x>ription)
<br>Mathematics is one of the most important subjects in applied sciences. Though most of us have had 
<br>extensive training in Mathematics, solving mathematical problems to get numerical answers are not 
<br>immediately obvious to most of the students. In this course, how to use computers to solve mathematical 
<br>problems to finding approximated numerical solutions will be introduced.  This capability should help 
<br>students in future researches or even industrial career to solve real life problems. Theories in Numerical 
<br>Analysis will be introduced with extensive hand-on programming homework.
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<br>二、指定用書(Text Books)
<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)
<br>Introduction to Numerical Analysis, 3rd edition, by J. Stoer, R. Bulirsch, Springer, 2002.
<br>Introduction to Numerical Analysis, 2nd edition, by E.B. Hildebrand, Dover, 1987.
<br>Numerical Recipes in C, by W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Cambridge University 
<br>Press, 1988.
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<br>四、教學方式(Teaching Method)
<br>Lecture and discussions.
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<br>五、教學進度(Syllabus)
<br>0. Introduction
<br>1. Linear system solutions
<br>2. Numerical errors
<br>3. Iterative solutions
<br>4. Eigenvalues
<br>5. Interpolations
<br>6. Integrations
<br>7. Nonlinear system solutions
<br>8. Ordinary differential equations
<br>9. Boundary value problems
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<br>六、成績考核(Evaluation)
<br>Homework: 50%
<br>Midterm exam: 20%
<br>Final exam: 30%
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<br>七、可連結之網頁位址
<br>To be provided later.
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<br>八、本課程禁用人工智慧軟體
<br>根據本校公布之佈的「大學教育場域AI協作、共學與素養培養指引」，本門課程採取
<br>禁止使用，以下為相關的監管機制
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<br>修讀本門課程之學生應注意本門課不得繳交使用生成式人工智慧所產出的作業、報告
<br>或個人心得。若經查核發現，教師、學校或相關單位有權重新針對作業或報告重新評分
<br>或不予計分。
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<br>修讀本課程之學生於選課時視為同意以上倫理聲明。