Introduction to Modeling and Numerical Methods for Biomedical and Chemical Engineers

1. Front Matter

   Pages i-xiii

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2. Modern Engineering

   • Edward Gatzke

   Pages 1-14

3. Mathematical Fundamentals

   • Edward Gatzke

   Pages 15-32

4. Classification of Numerical Problems

   • Edward Gatzke

   Pages 33-49

5. Engineering Modeling

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   Pages 51-71

6. Structured Programming

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   Pages 73-97

7. Introduction to MATLAB

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   Pages 99-121

8. Linear Algebra

   • Edward Gatzke

   Pages 123-165

9. Root Finding and Integration

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   Pages 167-187

10. Introduction to Numerical Optimization

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    Pages 189-205

11. Introduction to Spreadsheets

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    Pages 207-212

12. Basic Probability and Statistics

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    Pages 213-240

13. Linear Modeling

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    Pages 241-250

14. Forces and Moments

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    Pages 251-266

15. Differential Equations

    • Edward Gatzke

    Pages 267-285

16. Back Matter

    Pages 287-288

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This textbook introduces the concepts and tools that biomedical and chemical engineering students need to know in order to translate engineering problems into a numerical representation using scientific fundamentals. Modeling concepts focus on problems that are directly related to biomedical and chemical engineering. A variety of computational tools are presented, including MATLAB, Excel, Mathcad, and COMSOL, and a brief introduction to each tool is accompanied by multiple computer lab experiences. The numerical methods covered are basic linear algebra and basic statistics, and traditional methods like Newton’s method, Euler Integration, and trapezoidal integration. The book presents the reader with numerous examples and worked problems, and practice problems are included at the end of each chapter.

• Biomedical Engineering textbook
• Chemical Engineering textbook
• Numerical Methods for engineers
• MATLAB for biomedical engineering
• Mathcad for chemical engineering
• COMSOL for chemical engineering
• Linear algebra for biomedical engineering
• Calculus in biomedical engineering
• Computational Problem Solving
• Engineering Mathematics
• Engineering Modeling
• Numerical Integration
• Stoichiometry and Nonlinear Systems
• Euler Integration
• Statistics for biomedical engineering

• Department of Chemical Engineering, University of South Carolina, Columbia, USA

  Edward Gatzke

Ed Gatzke joined the faculty of the Department of Chemical Engineering at the University of South Carolina in 2001. He has received Humboldt Faculty Award, the AIChE Himmelblau Award, and the NSF Career Award. His work considers optimization, modeling, and control of dynamic nonlinear systems. Application areas examined include biomedical systems, particulate systems, energy production systems, and traditional chemical processes. He has served for many years as faculty advisor for the USC Tau Beta Pi chapter, the USC Gamecock Toastmasters club, and the USC Engineering and Computing Living and Learning Community.

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