Lecture Notes

Review of ODE’s (May 6, 2019)
 Classnotes: Course Overview, Lecture 1
 Reference to Professor Peirce’s notes: Lecture 1

Series solutions to ODE’s (May 79, 2019)
 Classnotes: Lecture 2, Lecture 3, Lecture 4, Lecture 5 , Series Review
 Reference to Professor Peirce’s notes: Lecture 2, Lecture 3, Lecture 4, Lecture 5

Introduction to PDE’s (May 1415, 2019)
 Classnotes: Lecture 6, Lecture 7, Derivations
 Reference to Professor Peirce’s notes: Lecture 6, Lecture 7

Introduction to Numerical Methods (May 1516, 2019)
 Classnotes: Numerical Methods
 Reference to Professor Peirce’s notes: Lecture 8

Separation of Variables and Fourier Series (May 1623, 2019)
 Classnotes: Lecture 8, Lecture 9, Lecture 10, Lecture 11
 Reference to Professor Peirce’s notes: Lecture 9, Lecture 10, Lecture 11, Lecture 12

Fullrange and halfrange Fourier series (May 2728, 2019)
 Classnotes: Lecture 12, Additional example, Fourier transform, Lecture 13 (Note the correction on page 11),
 Reference to Professor Peirce’s notes: Lecture 13, Lecture 14, Lecture 15, Lecture 16

Heat conduction problems with inhomogeneous BC’s and sources/sinks (May 29June 10, 2019)
 Lecture 14 (Note the correction on page 15), Lecture 15, Lecture 16
 Reference to Professor Peirce’s notes: Lecture 17, Lecture 18, Lecture 19, Lecture 20

Wave equation (June 1112, 2019)
 Lecture 17, Lecture 18 Pt. 1
 Reference to Professor Peirce’s notes: Lecture 21, Lecture 22, Lecture 23

Laplace’s equation (June 1217, 2019)
 Lecture 18 Pt. 2, Lecture 19, Examples – Circular domain
 Reference to Professor Peirce’s notes: Lecture 24, Lecture 25, Lecture 26 , Lecture 27

SturmLiouville problems and the heat equation with Robin BC’s (June 1219, 2019)
 Lecture 20, Lecture 21, Lecture 22
 Reference to Professor Peirce’s notes: Lecture 28, Lecture 29 , Lecture 30