Instructor: Malgorzata Peszynska, mpesz@math.oregonstate.edu.

https://sites.science.oregonstate.edu/~mpesz/teaching/623_F26/

MTH 623 in Fall 2026 will be a prequel and a sequel to the core class MTH 621-2 (planned for Winter and Spring) which it aims to supplement and complement. The class will provide (i) a gentle introduction to some applied mathematics models which involve PDEs (partial differential equations) as well as (ii) some methods which help to identify properties of their solutions.
Among topics to be discussed are (i) the origins and applications of models of (mass and energy) flow and transport with diffusion, dispersion, radiation and convection, and wave propagation, (ii) the equilibrium or dissipative or conservative character of some models, (iii) the role of integral terms, tensor calculus, variational calculus and convexity in the derivation and interpretation of the models.
Student preparation and other: (1) MTH 623 will require solid differential equations and linear algebra skills (similar to what is needed for MTH 621). (2) MTH 623 is not a core class. There will be no exams, and grading will be based on written assignments. (3) Students who completed MTH 4/581-2, MTH 4/552-3, MTH 4/520 or similar are welcome, but this preparation is not required. (4) The concurrent class MTH 657 can be also used for registration. Those interested please contact the Instructor regarding the suitability of the class for your program and interests.