Math 331, Section 1, Fall 2016
Mon-Wed-Fri 11:15 AM – 12:05 PM in LGRT 121
Professor Richard S. Ellis
Class Number 74718
• Course syllabus

• Homework assignments are to be completed on the WeBWorK system. Detailed instructions for using WeBWorK are available online. General information about WeBWorK is also available online.

• My WeBWorK solutions discussed in class
• Homework Set 6 on the method of undetermined coefficients in section 2.7 of the textbook
• Homework Set 7 on the application of second order ODEs to mass-spring systems discussed in sections 2.4 and 2.8 of the textbook. As I explained in class, I deleted problems 3 and 5 from this assignment.

• Practice problems

• Information on quizzes and exams
• Six quizzes will be given in class. The coverage of each quiz will be announced in advance.
• Solutions of quizzes
• The midterm exam is scheduled for Monday, October 17, 2016 from 7:00 to 8:30 PM in Goessmann 64. The exam will consist of a number of straightforward problems that will test your understanding of the material in chapters 1 and 2 that was covered in class. You should also review the homework assignments and the quizzes. The coverage of the exam is outlined online.
• The final exam is scheduled for 10:30 AM – 12:30 PM on Monday, December 19, in Goessmann Laboratory room 20. The exam will consist of a number of straightforward problems that will test your understanding of the material in chapters 1, 2, 4, and 6 that was covered in class. You should also review the homework assignments and the quizzes. The coverage of the exam is outlined online.

• Teaching Assistants and Additional Help

• Handouts
• Notes on lecture 1
• Notes on homogeneous linear ODEs of 2nd order. I wrote these notes because the definition of the key concept of a fundamental set (or fundamental system) of solutions on page 50 of the textbook is non-standard and confusing. The standard definition appears in part (a) of Definition 3 in this document.
• Method of undetermined coefficients
• The method of undetermined coefficients presented on pages 81–84 of the textbook has a serious error, which I correct in this file. The problem arises, for example, when one tries to use the method of undetermined coefficients to solve y'' = x^2. Since 1 and x both solve the homogeneous equation y'' = 0, the Modification Rule in part (b) of the Choice Rules for the Method of Undetermined Coefficients on page 81 indicates that the modified choice for y_p should be the cubic polynomial K_2 x^2 + x^2(K_1 x + K_0). However, this is not correct since y_p = x^4/12. The correct modified choice for y_p should be the fourth-order polynomial x^2(K_2 x^2 + K_1 x + K_0).
• Method of variation of parameters
• Laplace transforms
• Linear algebra and Y' = AY in R^2

• Integrate using Mathematica

• Visualize solution curves using ODE Software.