Math 4354 Section 1

Fall 2008

 

 

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

9:00-10:00 math 011

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

 

Systems of ODEs and PDEs



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 Systems of ODEs and
Partial Differential Equations  and studying properties of the solutions. 




Textbooks

The supplemental textbook for the course is "Differential Equations with Boundary-Value
Problems"     7th Edition by D. G. Zill and M. R. Cullen





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.

 

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

After the final you will have 6 scores. Your final grade for the course will be determined by the average of your best 5 of these 6 scores.


Syllabus

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

Sylabus PDF File 





First Order ODE Techniques 

Higher Order ODE Techniques 

Integration Formulas 

Differentiation Formulas 

First Order Linear Systems 

First Order Linear Systems using Maple  

(Control Click and Save As m4354_c8_solvingsystems.mw)

Autonomous   Systems: Stability 


Chapter 11 Orthogonal functions  

Pointwise Convergence of Fourier Series 

Integral Formulas sine and cosine products 

Chapter 12 Separation of Variables: BVPs in Rectangles 

Examples Separation of Variables heat Equation 

Fourier Series Examples using Maple  

(Control Click and Save As FS_examples_oct_09.mw)

Fourier Series Examples using Maple  

Heat Equation Examples using Maple  

(Control Click and Save As m4354_heat_examples.mw)

1D Heat Equation examples in html format 

Eigenvalues for Periodic Boundary Conditions 

Properties for Sturm-Liouville Problems  

Wave Equation Examples Maple 

(Control Click and Save As m4354_wave_eq_examples.mw)

1D Wave Equation examples in html format 

Formula Sheet for Test 2  

Notes for Chapter 12 Section 5: Elliptic BVP  


Chapter 12 Section 6: Non-homogeneous Problems  


Chapter 12 Section 8: Heat and Wave in 2D Rectangle  


Chapter 13 Section 1: Dirichlet Problem in Polar Coordinates  

Formula Sheet for Test 3  

Test 3 questions types  


Solving PDEs using Laplace transforms  


Problem Review for Final  


<david.gilliam@ttu.edu>