News

• Using Matlab for autonomous systems is now available
• New: Use tap matlab instead of tap matlab51 . To start Matlab, type tap matlab and matlab -nosplash .
• Deadline for Assignment 3 is extended to Thursday, Dec. 4
• Assignment 3, problem 2: You should use the procedure explained on the web page Solving ODEs using the Laplace Transform in Matlab, and not the procedure explained in Chapter 11 which was handed out in class.

  Problem 2(c): You don't have to plot f(t) since ezplot does not work with Dirac.

• Common Problems with Matlab is updated (Nov. 5)
• A Matlab version of Chapter 9 of ``Differential Equations with Maple'' (PS,6 p.) is now available. It does not contain all of Chapter 9 in the book. You only have to read the introduction and the section ``Second Order Equations with Matlab'', and not the section ``Comparison Methods'' or anything after that in the book.
• Practice Problems for Numerical Methods are now available. Please do these problems to prepare for the exam. Note: I will not ask about numerical methods for second order equations or systems of ODEs in the exam.
• Using Matlab for Higher Order ODEs and Systems of ODEs is now available. Contents: Solving ODEs numerically and symbolically, plotting the solutions, phase plane plots, vector fields.

Course Outline

Information about time & place, instructor, textbooks, syllabus, grading policy, Matlab assignments, final exam. This was handed out in the first class.

Assignments

• Problem Set A (PS, 3 p.): Problem set for practicing Matlab. Will not be collected or graded. Must be completed by each student by Thu, Sept. 11.
  Solutions for Problem Set A: You should study this to see how to hand in homework problems (printouts of file prob.m, prob.txt and graphics for each problem).
• Assignment 1 was handed out on Sept. 18 and was due on Sept. 30.
• Assignment 2 was handed out on Oct. 23 and is due Fri, Nov. 7 (not Oct.31, not Nov. 6).

  Typo in 2(b): perform 20 steps (not 32 steps) with h=0.125.

  Hint for making tables in 2(b): Generate a column vector y of Euler values as explained on page 8 of the handout ``Numerical Methods'' (PS). Generate a column vector yval of values of the exact solution as explained at the end of ``Using Matlab for First Order ODEs''. Then generate a table with three columns for t, Euler values, and errors using [tval,y,abs(y-yval)] .