PHYS 501 Mathematical Methods in Physics (Graduate)

This course develops a mathematical foundation to succeed in graduate level courses in classical mechanics, electrodynamics, thermodynamics/statistical physics, and modern and quantum physics. It encompasses algorithmic skills but aims higher to develop the ability to relate mathematics and phenomena as well as the ability to analyze solutions for limitations and prediction of behavior. Note: This course is designed for those seeking the credentials required by many regional accrediting bodies in order to be able to teach advanced placement, concurrent early college, and community college physics courses.

Upon successful completion of this course, you should be able to:

1. Demonstrate problem solving competency in the mathematical concepts and techniques used in theoretical physics.
2. Translate physical problems to mathematical formulations and mathematical solutions to physical behavior.
3. Identify recurring patterns of mathematical concepts and techniques across the areas of theoretical physics.
4. Evaluate the suitability and limitations of a range of mathematical approaches to physical problems.
5. Use technology (e.g. Mathematica, Maple) to solve differential equations and linear algebra problems and visualize Fourier, Legendre and Bessel that arise in applications to waves, heat flow and quantum mechanics using technology (e.g. Mathematica, Maple).
6. Express the relevance of mathematics to the physical world in terms of creation and God’s providence (no grading associated with this topic).

Prerequisite Courses: None

Prerequisite Skills and Knowledge: A bachelor’s degree with a physics major or state certification (in any state) to teach physics at a secondary school level. Undergraduate coursework must include calculus (through multivariate) and ordinary differential equations.

Sequential Offerings:
Physics 501 Mathematical Methods in Physics (Spring 2020 & Fall I 2021)
Physics 502 Classical Mechanics (Summer I 2020)
Physics 503 Electromagnetism (Summer II 2020)
Physics 504 Intro to Quantum Mechanics (Fall 2020)
Physics 505 Quantum Mechanics II (Spring 2021)
Physics 506 Thermodynamics and Statistical Mechanics (Summer 2021)