Detailed Schedule -- Applied Mathematics 1

Fall 1999, Prof. Little

As always, topics may be added, deleted, or rearranged during the course of the semester. Any changes will be announced in class and here.

DateClass Topic Reading (Haberman)
8/31 Course introduction; The Heat Equation Sections 1.1-2
9/2 Boundary Conditions 1.3
9/7 Equilibrium Temperature 1.4
9/9 Line Integrals and Green's Theorem
9/14 Surface Integrals and the Divergence Theorem
9/16 The Heat Equation in 2 and 3 Space Dimensions 1.5
9/21 Second Order ODE
9/23 Separation of Variables for the Heat Equation 2.1-2.3
9/28 Separation of Variables, cont. 2.3
9/30 Examples 2.4
10/5 Further Examples 2.4
10/7 In-Class Midterm 1
10/12 No Class - Columbus Day Break
10/14 Laplace's Equation 2.5
10/19 Laplace's Equation, cont. 2.5
10/21 Fourier Series 3.1-2
10/26 Point-wise Convergence 3.2
10/28 Sine and Cosine Series 3.3
11/2 Sine and Cosine Series, cont. 3.3
11/4 Term-by-term Derivatives and Integrals 3.4-3.5
11/9 The Wave Equation 4.1-3
11/11 The Vibrating String 4.4
11/16 The Vibrating Membrane 4.5
11/18 Sturm-Liouville Eigenvalue Problems 5.1-3
11/23 Sturm-Liouville Eigenvalue Problems 5.4
11/25 No Class - Thanksgiving
11/30 Sturm-Liouville Eigenvalue Problems 5.5
12/2 SAC, Sturm-Liouville Eigenvalue Problems 5.5

Last modified: August 19, 1999