MATH 5630 - Computational Mathematics

Last Update: May 02, 2022

Prerequisite

• Calculus I-II-III and some basic knowledge of linear algebra and matrices.
• Students are expected to program in Matlab/Julia Language as part of homework assignments. Therefore, previous encounter with Matlab/Octave/Julia or other programming languages will be beneficial.

Topics

• Taylor Expansion and Numerical Differentiations
• Discrete Time-Space Models
• Review on Matrices and Linear Algebra
• Toeplitz Matrices
• Iterative Methods for Systems of Equations
• Applications to Finite Difference Methods
• Gradient Descent and Image Restoration
• Conjugate Gradient Method

Textbooks

		Robert E. White, Computational Mathematics: Models, Methods, and Analysis with MATLAB & MPI ISBN-13: 978-1584883647 ISBN-10: 1584883642
		Carl Meyer, Matrix Analysis and Applied Linear Algebra ISBN-13: 978-0898714548 ISBN-10: 0898714540
		John H. Mathews and Kurtis K. Fink, Numerical Methods Using MATLAB ISBN-13: 978-0130652485 ISBN-10: 0130652482

UML Graduate Catalog - MATH 5630
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