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Programming Mathematics Using MATLAB

  • Book

  • July 2020
  • Elsevier Science and Technology
  • ID: 5007890
Providing an alternative to engineering-focused resources in the area, Programming Mathematics Using MATLAB? introduces the basics of programming and of using MATLAB? by highlighting many mathematical examples. Emphasizing mathematical concepts through the visualization of programming throughout the book, this useful resource utilizes examples that may be familiar to math students (such as numerical integration) and others that may be new (such as fractals). Additionally, the text uniquely offers a variety of MATLAB? projects, all of which have been class-tested thoroughly, and which enable students to put MATLAB? programming into practice while expanding their comprehension of concepts such as Taylor polynomials and the Gram-Schmidt process.

Programming Mathematics Using MATLAB? is appropriate for readers familiar with sophomore-level mathematics (vectors, matrices, multivariable calculus), and is useful for math courses focused on MATLAB? specifically and those focused on mathematical concepts which seek to utilize MATLAB? in the classroom.

Table of Contents

Part 1. MATLAB 1. Introduction to MATLAB 2. Vectors and Matrices (Arrays) 3. Plotting in MATLAB 4. Three-Dimensional Plots 5. Functions 6. Control Flow 7. Miscellaneous Commands and Code Improvement

Part 2. Mathematics and MATLAB 8. Transformations and Fern Fractals 9. Complex Numbers and Fractals 10. Series and Taylor Polynomials 11. Numerical Integration 12. The Gram-Schmidt Process

Appendices A. Publishing and Live Scripts B. Final Projects C. Linear Algebra Projects D. Multivariable Calculus Projects

Authors

Lisa A. Oberbroeckling Loyola University, Mathematics and Statistics Department, Baltimore, MD, USA. Lisa Oberbroeckling is on the faculty of the Mathematics and Statistics Department at Loyola University Maryland. She has used MATLAB� in her linear algebra and multivariate calculus courses since 2004. She was instrumental in the design and teaching of a Programming Mathematics using MATLAB� course (both 1-credit and 3-credit) within her department. Her research is focused on functional and numerical analysis.