First Course on Partial Differential Equations - I

This is intended to be a first course on the subject Partial Differential Equations, which generally requires 40 lecture hours (One semester course). So, we plan to make this course in two parts – 20 hours each. We plan to offer the first part starting in January 2021 and second part may be in July 2021 or latest by 2022. INTENDED AUDIENCE :Mathematics, Science and EngineeringPREREQUISITES : Multi variable Calculus, Linear Algebra, ordinary Differential EquationsINDUSTRIES SUPPORT :None

Week 1:Introduction, PreliminariesWeek 2:First Order Equations – Method of CharacteristicsWeek 3:First Order Equations‐ multi variables and classificationWeek 4:Laplace and Poisson EquationsWeek 5:Laplace and Poisson EquationsWeek 6:1D Heat equationWeek 7:1 D wave equation
Week 8:1 D wave equation