YoVDO

First Course on Partial Differential Equations - I

Offered By: Indian Institute of Science Bangalore via Swayam

Tags

Differential Equations Courses Linear Algebra Courses Multivariable Calculus Courses Partial Differential Equations Courses Ordinary Differential Equations Courses Wave Equation Courses Heat Equation Courses Laplace's Equation Courses

Course Description

Overview

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

Syllabus

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

Taught by

Prof. P.S. Datti, Prof. A. K. Nandakumaran

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