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Introduction to Modeling and Numerical Methods for Biomedical and Chemical Engineers

  • Textbook
  • © 2022

Overview

Authors:
  1. Edward Gatzke

    1. Department of Chemical Engineering, University of South Carolina, Columbia, USA

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  • Focuses on problems and methods unique to biomedical and chemical engineering
  • Presents modeling concepts drawn from chemical, mechanical, and materials engineering
  • Ancillary materials include lecture notes and slides and online videos that enable a flipped classroom or individual study

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Table of contents (14 chapters)

  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

    • Edward Gatzke
    Pages 51-71

  6. Structured Programming

    • Edward Gatzke
    Pages 73-97

  7. Introduction to MATLAB

    • Edward Gatzke
    Pages 99-121

  8. Linear Algebra

    • Edward Gatzke
    Pages 123-165

  9. Root Finding and Integration

    • Edward Gatzke
    Pages 167-187

  10. Introduction to Numerical Optimization

    • Edward Gatzke
    Pages 189-205

  11. Introduction to Spreadsheets

    • Edward Gatzke
    Pages 207-212

  12. Basic Probability and Statistics

    • Edward Gatzke
    Pages 213-240

  13. Linear Modeling

    • Edward Gatzke
    Pages 241-250

  14. Forces and Moments

    • Edward Gatzke
    Pages 251-266

  15. Differential Equations

    • Edward Gatzke
    Pages 267-285

  16. Back Matter

    Pages 287-288
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Keywords

About this book

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.

Authors and Affiliations

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

    Edward Gatzke

About the author

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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