Content
Partial Differential Equations Pre-Collegiate
Feb 10, 2025

Back to database
The Partial Differential Equations Pre-Collegiate course, offered by Stanford University, provides students with a comprehensive understanding of the theory of differential equations involving functions of more than one variable. The main objectives of the course are to introduce students to first order equations, delve into the classification of second order equations, and explore initial-boundary value problems for heat equation, wave and related equations. Additionally, it includes the study of separation of variables, eigenvalue problems, Fourier series, and existence and uniqueness questions. This rigorous course is delivered online, allowing students to access the curriculum remotely. The course duration and schedule, however, are not specified in the available information. The course is based on the required text: Partial Differential Equations, An Introduction, by W. Strauss, which serves as a comprehensive guide for students throughout the course. In order to qualify for this course, students must meet certain prerequisites which include Multivariable Calculus, Linear Algebra, Differential Equations, Real Analysis, and Complex Analysis or equivalent. Unfortunately, the information on the instructors, their backgrounds, and qualifications is not provided. Upon completion of this course, students can expect to have gained a deep understanding of Partial Differential Equations. This knowledge would be critical for those interested in pursuing further studies in mathematics or related fields, as it forms a core part of many mathematical models used in physics and engineering. The course does not specify certain certifications or skills that participants will gain.

written by
Rishab Jain