MATH 453
Partial Differential Equations Spring 2025
Division III Quantitative/Formal Reasoning

Class Details

In this course, we further explore the world of differential equations. Mainly, we cover topics in partial differential equations. Partial Differential Equations (PDEs) are fundamental to the modeling of many natural phenomena, arising in many fields, including fluid mechanics, heat and mass transfer, electromagnetic theory, finance, elasticity, and more. The goals of this course are to discuss the following topics: classification of PDEs in terms of order, linearity and homogeneity; physical interpretation of canonical PDEs; solution techniques, including separation of variables, series solutions, integral transforms, and the method of characteristics.
The Class: Format: lecture
Limit: 20
Expected: 15
Class#: 3552
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: Evaluation will be based on homework, projects, and exams.
Prerequisites: MATH 150-151; MATH/PHYS 210 or MATH 309
Enrollment Preferences: Mathematics and Physics majors.
Distributions: Division III Quantitative/Formal Reasoning
QFR Notes: This is an advanced mathematics class dedicated to the study of partial differential equations (PDEs). These equations are the most important mathematical tools for the study of complex physical phenomena such as waves and fluids (including both air and water), heat transfer, electromagnetism, and finance.

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