一、課程說明(Course Description)
<br>本課程將著重於如何建構數學模型來描述生物現象及應用數學解決生物學上的問題。
<br>除了模型建構外，我們將訓練學生使用數學軟件：如MATLAB、MAPLE或MATHEMATICA等
<br>做數值計算。學生只須具備大一微積分，即可修本課程。我們尤其歡迎生科系學生選
<br>修本課程。
<br>本課程將著重於簡單的微分方程，線性代數及probability distribution之應用，其
<br>綱要如下：
<br>Ⅰ. Scalar Differential Equations with Applications to Biology.  
<br>Ⅱ. Difference Equations with Applications in Biology.
<br>    (i)  Discretized Logistic Map
<br>    (ii) Mathematical models in Population genetics
<br>Ⅲ. Basic Concept of Population Dynamics:
<br>    Lotka-Volterra Competition Model, Predator-Prey System , Food Chain Models, Mutualist System , Mathematical Models of Chemical reactions.
<br>Ⅳ. Simple Linear Algebra:
<br>    Eigenvalue Problems , Least Square – curve fitting , applications in 
<br>    Population Biology
<br>V. Reaction Diffusion Equations, Pattern Formations
<br>VI. Probability distributions:
<br>    Binomial , Poisson , X-square distributions with applications in 
<br>    Biology.
<br>VII. Introduction to Mathematical Models in Molecular Biology
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<br> 二、指定用書(Text Books)
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<br>本課程將無固定的教科書
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<br> 三、參考書籍(References)
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<br>1. J.Murray: Mathematical Biology
<br>2. Sarah P.Otto and Troy Day: A biologist's Guide to Mathematical Modeling in  Ecology and Evolution
<br>3.Martin Nowak: Evolutionary Dynamics, exploring the equations of life.
<br>4.Linda Allen: An introduction to Mathematical Biology 
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<br> 四、教學方式(Teaching Method)
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<br> 五、教學進度(Syllabus)
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<br> 六、成績考核(Evaluation)
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<br>期中考及期末考及homework
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<br> 七、可連結之網頁位址
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