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.
List of Examples.- List of Definitions.- Foreword.- Modern Engineering.- Mathematical Fundamentals .- Engineering Modeling.- Computational Problem Solving.- Introduction to MATLAB.- Linear Algebra.- Solving Problems Numerically.- Spreadsheets.- Basic Statistics and Probability.- Linearity.- Forces.- Classes of Numerical Problems.- Introduction to COMSOL.- Tips on Presenting Your Work.- Technical Writing Suggestions.- Lecture Notes.
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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