MATHEMATICS 423:01 -- APPROXIMATE SYLLABUS  Spring 2011
 Date Chapter/Section/Topic Chapter 1 Where PDEs come from Tuesday, Jan 18 1.1: What is a Partial Differential Equation? Thursday, Jan 20 1.2: First-order Linear Equations Tuesday, Jan 25 1.3: Flows, Vibrations and Diffusions Thursday, Jan 27 1.4: Initial and Boundary Conditions; 1.5: Well-Posed Problems; Quiz 1:1.1,1.2 Tuesday, Feb. 1 1.6: Types of Second-Order Equations Chapter 2 Waves and Diffusion Thursday, Feb 3 2.1: The Wave Equation Tuesday, Feb. 8 2.2: Causality and Energy Thursday, Feb. 10 2.3: The Diffusion Equation; Quiz 2: 1.3,1.4,1.5,1.6 Tuesday, Feb. 15 2.4: Diffusion on the Whole Real Line Thursday, Feb. 17 2.5 Comparison of Waves and Diffusion Chapter 4 Boundary Problems Tuesday, Feb. 22 4.1: Separation of Variables, the Dirichlet Condition Thursday, Feb. 24 Exam 1: Covers through Section 2.5 Tuesday, March 1 4.2: The Neumann Condition. Chapter 5 Fourier Series Thursday, March 3 5.1: The Coefficients Tuesday, March 8 5.2: Even, Odd, Periodic, and Complex Functions Thursday, March 10 5.3: Orthogonality and General Fourier Series; Quiz 3: 4.1,4.2 Tuesday, March 15 Spring Break Thursday, March 17 Spring Break Tuesday, March 22 5.4: Completeness Thursday, March 24 5.6 Inhomogeneous Boundary Conditions; Quiz 4: 5.1,5.2.5.3 Chapter 6 Harmonic Functions Tuesday, March 29 6.1: Laplace's Equation Thursday, March 31 6.2: Rectangles and Cubes Tuesday, April 5 6.3: Poisson's Formula Chapter 7 Green's Identities and Green's Functions Thursday, April 7 Exam 2: Covers Section 4.1 through Section 5.6 Tuesday, April 12 7.1: Green's First Identity Chapter 8 Computation of Solutions Thursday, April 14 8.1: Opportunities and Dangers Tuesday, April 19 8.2: Approximations of Diffusions Thursday, April 21 8.3 Approximation of Waves; Quiz 5: 6.1,6.2,6.3,7.1 Tuesday, April 26 8.4 Approximation of Laplace's Equation; 8.5 Finite Element Method Thursday, April 28 Catch Up and Review

last revised 3/30/2011