Math 4354 Section 1

Fall 2008

 

 

Dr. David Gilliam
Office: Math 103
Tel: 806-742-2580, # 265

email: david.gilliam@ttu.edu
Office Hours: 10:00-11:00 MWF
and by appointment

 

Partial Differential Equations



LINK TO ONLINE HOMEWORK

Click here for useful information about using WebWork

Click here for info on entering answers in WebWork



Online Homework : Click here to Enter

 


Course Description

This course is intended as an introduction to solving Partial Differential Equations
and studying properties of the solutions. Specifically we will study



  1. First Order Linear Equations and the IVP 
  2. IVP D'Alembert Solution Wave Equation 1-D
  3. IVP Heat Equation 1-D
  4. BVP Heat 1-D
  5. BVP Wave Equation 1-D
  6. BVP Heat 2-D
  7. BVP Wave Equation 2-D
  8. Nonhomogeneous Heat Equation 1-D
  9. BVP Elliptic 2-D

Textbooks

The supplemental textbook for the course is "Partial Differential Equations for Scientists and Engineers,''

by Stanley J. Farlow ISBN: 048667620X Edition:Reprint Publisher: Dover Publications



The Primary text will be Instructors Notes that will be handed out in class and can also be downloaded here:

  1. Chapter 1: First Order Linear IVPs

  2. Chapter 2: IVP Wave Equation: D'Alembert's Formula

  3. Chapter 3: IVP 1D Heat Equation
    Handout: Numerical Solution of IVP 1D Heat Equation

  4. Chapter 4: Initial BVP 1D Heat Equation

    Maple Worksheet (Control-click and either save the file or open with maple)

    Handout: Pointwise convergence of Fourier Series

    Maple Worksheet Examples Solving Heat Equation
    (Control-click and either save the file or open with maple)


  5. Chapter 5: Initial BVP 1D Wave Equation

    Maple Worksheet (Control-click and either save the file or open with maple)

  6. Chapter 6: Non-Homogeneous Heat Equations and Boundary Value Problems

    Formula Sheet for Test number 3


  7. Chapter 7: Some Elliptic Boundary Value Problems


Grading Policy

There will be 3 exams given in class. Each exam counts as one score. A missed exam gives a score of zero and there are no makeup exams --- although, under extreme (and well documented) circumstances, it may be possible to make arrangements to take a test in advance.

There will be approximately 12 online homework assignments using WebWork. The homework will count as 1 score.

There will be approximately 10 in class short quizzes. The quizzes will count as 1 score.

 

The final exam will count for 2 more scores. This final is a comprehensive final.

After the final you will have 7 scores. Your final grade for the course will be determined by the average of your best 5 of these 7 scores.


Syllabus

The following link can be used to obtain a copy of the sylabus in Adobe Acrobat (.pdf) format

Sylabus PDF File 





Solutions to Test 1 

First Order ODE Techniques 

Integration Formulas 

Differentiation Formulas 


Pdf file of solution to wave equation on a half line.  


Html file of solution to wave equation on a half line with movies.  

<david.gilliam@ttu.edu>