Mathematics 327 - Introduction to Partial Differential Equations

Partial differential equations (PDEs) describe how quantities change with respect to two or more independent variables and are fundamental in modeling a wide range of real-world phenomena. This course introduces the core concepts and methods for studying PDEs, focusing on the archetypal second-order equations: the heat equation, the wave equation, and Laplace's equation. Applications span various scientific fields, including acoustics, optics, electrostatics, heat conduction, and wave propagation. Topics covered include the method of characteristics, separation of variables, Fourier series, Sturm-Liouville theory, Green's functions, and the Fourier-Laplace transform. 
 

MATH 260 or other experience with differential equations by consent of the instructor is required. Limited to 25 students. Spring semester. Professor Kraisler.

How to handle overenrollment: Preference is given to senior math majors, then to other math majors.

Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, use of computational software, in-class and take-home exams. May include quizzes, group projects, or an individual project with written report and/or presentation.