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Dec 21, 2024
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PHYS 4041 - Mathematical Methods in Physics 1
Mathematical methods, such as multivariate calculus, differential equations, series, complex analysis, and Fourier analysis, will be discussed and applied to a variety of physics problems. The emphasis is on problem solving using these techniques, and on their unity across the discipline of physics.
Requisites: MATH 3300 and PHYS 3001
Credit Hours: 3
Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Learning Outcomes: - Be able to compute Fourier series and Fourier transforms and understand their basic properties, including their connection with derivatives, convolutions and Delta functions.
- Be able to determine if a numeric series is convergent, to find Taylor expansions of functions; and to combine and manipulate power series.
- Be able to identify singularities of complex functions. Be able to compute residues and use them to calculate integrals.
- Be able to solve ODEs by using power series expansions.
- Be able to solve linear ordinary differential equations (ODEs), both first order ODEs and second order ODEs with constant coefficients.
- Be proficient in the use of partial derivatives and vector differential operators and be able to apply Green’s theorem, Gauss’ Divergence Theorem and Stokes’ Theorem in Physics problems.
- Have a practical command of the most common mathematical techniques that are used in solving Physics problems.
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