Math 450 Partial Differential Equations

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For full syllabus, see Blackboard.

Instructor: Dr. Cynthia Flores
Office: 2762 Bell Tower East
Office Hours: TBD
Course website is on Blackboard.
Course Meetings: Tuesday and Thursday 10:30am-11:45am in Solano Hall 1232

TEXT: Partial Differential Equations: An Introduction, Author: Strauss, Walter A., Publisher: John Wiley & Sons Ltd., Edition: 2nd

Course Objective: This class is to provide an introduction to Partial Differential Equations(PDEs). We will study linear PDEs, with an emphasis on second order linearequations with constant coefficients (heat, wave, Laplace). Fourier Series willbe introduced and used to solve boundary value problems for the heat andwave equations. Laplace's equation will be studied next, and solutions to associated boundary value problems will be derived.

The use of \(\) is strongly encouraged.

Upon successful completion of the course, students will be able to

  • classify PDEs by their order and linearity
  • understand methods for finding solutions and understand the mathematical and physical properties of solutions to PDEs
  •  understand the derivations of canonical PDEs from physical principles
  •  compute the Fourier series of a given function
  • use the Fourier transform to solve for fundamental solutions
  • solve the wave, heat and the Laplace equations and the associated initial (for the evolution equations) and boundary value problems
  •  Approximating solutions to PDEs via finite differences methods (time permitting)

Math 399 It is strongly recommended to be concurrently enrolled in Math 399 Class #2930 Advanced Math LAB MW 3:00PM-4:15PM or #2935 Advanced Math LAB TTh 3:00-4:15PM. Both take place in OJAI 1964. Students may attend the labs on a need-basis, but you MUST be registered.

Homework will be assigned regularly from the text. Absolutely NO LATE HOMEWORK will be accepted. Please see the CI Writing Guide for a thorough description of your writing responsibility. Go to

Academic Dishonesty By placing your name on a paper, you certify that the work is yours. During homework, quizzes or exams, copying, allowing copying, or having another person do your work for you constitutes fraud and is prohibited by the law of the Educational Code. In study groups, ideas should be shared verbally. Avoid copying answers from tutors. If several students do this, their papers, being identical, will appear to be plagiarized. I am responsible to report instances of cheating to the Dean and give a student a grade of F for this work. For more information on the University policy, please see the University Catalog.

Students with Disabilities: Please let me know in private about any disabilities or
accommodations I should know of and please give me any paper work pertaining to
them. Contact Education Access Center (EAC) if you have questions about disability
Location: Bell Tower 1541

Tutoring/Extra Help In this course, the student is responsible for seeking extra help
from their peers (when collaboration is appropriate), the Math LAB (Math 399), and/or
an appropriate tutoring center. The student may wish to utilize my office hours. Also
you can get help at the STEM Center in El Dorado Hall. I am happy to provide guidance
during my office hours.

Information provided on this syllabus is subject to change.


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