課程簡述 (Brief course desc<x>ription)
<br>This course provides students with basic mathematics knowledge and computational 
<br>tools for solving science and engineering problems. Topics that will be covered 
<br>include modeling, computers and error analysis, roots and optimization, linear 
<br>systems, curve fitting, integration and differentiation, and ordinary differential 
<br>equations.
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<br>課程大綱 (Syllabus)
<br>Course keywords: Numerical methods, modeling, roots and optimization, linear 
<br>systems, curve fitting, integration and differentiation.
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<br>Course desc<x>ription:
<br>PART ONE Modeling, Computers, and Error Analysis 
<br>Chapter 1 Mathematical Modeling, Numerical Methods, and Problem 
<br>Solving 
<br>Chapter 4 Roundoff and Truncation 
<br>Errors 
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<br>PART TWO Roots and Optimization 
<br>Chapter 5 Roots: Bracketing Methods 
<br>Chapter 6 Roots: Open Methods 
<br>Chapter 7 Optimization 
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<br>PART FOUR Curve Fitting 
<br>Chapter 14 Linear Regression 
<br>Chapter 15 General Linear Least-Squares and Nonlinear Regression 
<br>Chapter 17 Polynomial Interpolation 
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<br>PART FIVE Integration and Differentiation 
<br>Chapter 19 Numerical Integration Formulas 
<br>Chapter 20 Numerical Integration of Functions 
<br>Chapter 21 Numerical Differentiation 
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<br>PART SIX Ordinary Differential Equations 
<br>Chapter 22 Initial-Value Problems 
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<br>Textbook:
<br>Steven C. Chapra, Applied Numerical Methods with MATLAB for Engineers and 
<br>Scientists, 4th., McGraw-Hill, (2018)
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<br>References:
<br>1.Abdelwahab Kharab and Ronald B. Guenther, An Introduction to Numerical Methods - 
<br>A MATLAB Approach, 3rd Ed., CRCPress, (2012).
<br>2. Michael R. King and Nipa A. Mody, Numerical and Statistical Methods for 
<br>Bioengineering, Cambridge University Press, (2011)
<br>3. J. Douglas Faires and Richard L. Burden, Numerical Methods, 4th Ed.,Cengage, 
<br>(2013)
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<br>Evaluation:
<br>Homework: 30%, Midterm: 30%, Final Exam: 40%
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<br>Note: This course does not involve the use of AI.
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