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| MA 57700 - Computational Mathematics I |
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Associated Term:
Fall 2022
Learning Outcomes: 1. Able to Code in MATLAB. 2. Understand the representation of real numbers on computers, the accumulation of roundoff error through a sequence of calculations, and the types of operations that should be avoided in the construction of a numerical algorithm. 3. Find the zeros (roots) of functions numerically (e.g., the bisection method, the method of false position, fixed point iteration schemes, and Newton's method). 4. Solve linear and nonlinear systems of equations numerically (e.g., Gaussian elimination and iterative techniques for linear systems, and Newton's method for nonlinear systems). 5. Calculate eigenvalues and eigenvectors. 6. Able to use interpolation and spline functions for solving real-life problems. 7. Represent tabular data through curve fitting. 8. Analyze the appropriateness and limitations of each of the above methods, including determining error bounds on the results obtained. 9. Communicate results through the project report produced at the conclusion of the semester. Required Materials: Technical Requirements: |
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