Date Chapter/Topics or Page/Problems T Aug 20 Introduction 1.5.1-5 (Due Th Aug 29) Th 22 2.1-2.2 2.5.1 (Due Tu Sept 3) T 27 Transport Eqn Th 29 Transport Eqn Tu Sept 3 Transport Eqn Th 5 Laplace's Eqn Intro/Fundamental soln T 10 Mean value prop/Max principle Th 12 Exam 1 2.5.2-6 (Due Th Oct 3) T 17 Uniqueness/Regularity Th 19 Estimates/Real analyticity T 23 Green's Function 2.5.7-11 (Due Th Oct 12) Th 26 Football T Oct 1 Poisson formulas Th 3 Calculus of variations/Energy methods T 8 Calculus of variations Th 10 Heat Equation (Initial Value Problem) T 15 No Class (Fall Break---muzzle loader open) Th 17 Exam 2 T 22 Forced Heat Equation Th 24 Mean Values for solutions of the Heat Equation T 29 Maximum Principle 2.5.13-17 (Due Tu Nov 5) Th 31 Uniqueness and extensions T Nov 5 Energy methods, Wave Equation d'Alembert's Solution (n=1) Th 7 Wave Equation (spherical means) T 12 Exam Presentations Th 14 Exam Presentations (Exam 3) (Exam Writeups Due Tu Nov 19) T 19 Method of Descent; Energy methods 2.5.18-24 (Due Tu Nov 26) Th 21 Chapter 3 Nonlinear First Order Equations T 26 Method of Characteristics Th 28 Thanksgiving T Dec 3 Hamilton-Jacobi Equations Th 5 Conservation Laws Th 12 Final Exam 2:50-5:40 Geometric PDE