First semester of a two-semester sequence. Provides a comprehensive overview of mathematical physics and numerous analytical mathematical techniques applied to physics problems. Topics include: numerical computations and visualizations, differential and integral vector analysis, linear algebra, infinite series, complex variables, partial differential equations, ordinary differential equations, integral transforms and equations, and calculus of variations. Prerequisites: PHYS 2310 or PHYS 2320 and MATH 2210, MATH 2250, MATH 2310 1/27/2020 - 5/8/2020, Lecture