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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.
List 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 MATLAB8. 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
About the author
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.
