General description
The behavior of many physical systems can be mathematically modeled by partial differential equations (PDEs). Examples appear in the description of flows in porous media, behavior of living tissues, combustion problems, deformation of composite materials, earthquake motions, etc. In this course we will study different analytical methods for solving PDEs with a wide range of applications in science and engineering, including heat equation, wave equation, and Laplace equation. By deriving explicit formulas for solutions of PDEs we will learn about the properties of basic PDE models and their application to science and engineering. Additional topics may be covered, at the instructor's discretion, depending on time and student interest.
Syllabus
Original syllabus (version 1) syllabus (version 2) Updated syllabus (version 3)
Instructor
Mohammad Motamed
Instructor's office hours
Live Zoom meetings on 1) Tu 8.30am-9.30am and 2) W 8.30am-9.30am
Text book
Richard Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th Edition or higher, Pearson (required)
Video Lectures and Slides
Matlab codes
code1 code2 code3 code4
Homework
Homework Report Format HW1 Statement of problems from the text (due Feb. 4th) On Chapter 1 HW2 (due extended to Feb. 25th) On Chapter 2 HW3 (due Mar. 3rd) On Chapter 3 HW4 (due Mar. 10th) On Chapter 4 Solutions to HW4 HW5 (Submit a PDF file by April 12th 11:59pm on Learn) On Chapter 12 Hint for Problem 12.5.2 Solutions to HW5 HW6 (Submit a PDF file by April 26th 11:59pm on Learn) On multi-dimensional PDEs Solutions to HW6 HW7 (Submit a PDF file by May 10th 11:59pm on Learn) On inhomogeneous PDE problems
Exams
motamed@math.unm.edu
Last updated: Spring 2020