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Nov 30, 2024
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PHY 425 - Methods of Applied Mathematics Mathematics needed for the study of the sciences. Topics include vector analysis, matrix operations, functions of a complex variable, Fourier series and integral transforms. Prerequisites: MAT 122 or MAT 236; and PHY 202. Also listed as MAT 425. Fulfills: LASR. (3 cr. hr.)
Frequency code S = offered in spring
Student Learning Outcomes
Upon successful completion of this course, students will be able to:
- Interpret and solve a range of problems pertaining to physics and engineering using appropriate mathematical methods.
- Use computational software strategically in an applied setting.
- Perform operations on complex-valued expressions relevant for applied mathematics. This includes finding the real and imaginary parts of expressions, the use of Cartesian and polar form, and the use of Euler's Formula.
- Compute and utilize Taylor series in an applied setting, including finding appropriate expansion parameters, and error estimates.
- Compute, utilize, and interpret the Fourier series and Fourier transform in an applied setting.
- Translate problems related to linear systems of equations, eigenvalues, and eigenvectors into matrix form and use appropriate computational resources to solve them.
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