Tech Logo

Home
Resume
Courses
Teaching
Schedule
Study Tips
Electronic Textbooks
Publications
ATU Math
ATU Links
Useful Links
Quotes
The Actuaries Hall
Webpage of Dr. Marcel B. Finan

MATH 4343
Partial Differential Equations I

§1 Basic Concepts
§2 Solutions to PDEs
§3 The Method of Integrating Factor of ODEs
§4 The Method of Separation of Variables of ODEs
§5 Classification of First Order PDEs
§6 A Review of Multivariable Calculus
§7 Solvability of First Order Semi-linear PDEs
§8 The One Dimensional Spatial Transport Equations
§9 Solvability of First Order Quasi-linear PDEs
§10 The Cauchy Problem for First Order Quasi-linear Equations
§11 Second Order PDEs in Two Variables
§12 Hperbolic Type: The Wave Equation
§13 Parabolic Type: The Heat Equation in One Dimensional Space
§14 Pointwise and Uniform Convergence of Sequences of Functions
§15 An introduction to Fourier Series
§16 Fourier Sine Series and Fourier Cosine Series
§17 Separation of Variables for PDEs
§18 Solving the Heat Equation
§19 Elliptic Type: Laplace's Equations in Rectnagular Domains
§20 Elliptic Type: Laplace's Equations in a Circular Region
§21 Review of Laplace Transform
§22 Solving PDEs Using Laplace Transform
§23 The Complex Fourier Series
§24 The Fourier Transform
§25Applications of the Fourier Transform to PDEs

Page created and maintained by Marcel B. Finan
Last updated:October 17, 2022