01:640:244 Differential Equation for Physics and Engineering, Sections 23 - 25, Spring 2015

Please find Dr. Goonetilleke's syllabus, schedule and homework assignments either on sakai or here.

Please find the information concerning maple labs here.

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You may find the following resource useful for this course:

Recitation Materials:

For 244 students, I have two requirements

If you have difficulties in these algebra issues, a series of link is provided for help.

• If you don't know how to manipulate logarithm, please find
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch10_SE.pdf
Please read Section 10.5 on page 45 in the pdf file (page 733 in the book), try all example problems, and do Exercise 44 - 61 on page 51 in the pdf file (Page 740 in the book).

• If you are not very fluent with the quadratic equations (e.g. always use the root formula), please find
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch08_SE.pdf
Read Section 8.1, 8.2, try all example problems, and do Exercise 66 - 83 on page 23 in the pdf file (Page 573 in the book). Make sure you understand all the related methods

In particular, if you have never seen criss-cross factorization before, please check the youtube videos
Criss-Cross Method 1, Criss-Cross Method 2, Criss-Cross Method 3 and Criss-Cross Method 4.

• If you have never seen matrices before, please find
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch03_SE.pdf
Read Section 3.6, try all example problems, and do Exercise 15 - 23, 46 - 49 on page 51 - 52 in the pdf file (page 227 - 228 in the book).
Read Section 3.7, try all example problems, and do Exercise 2 - 7, 20 - 25, 35 - 40 on page 63 - 64 in the pdf file (page 239 - 240 in the book).
After you work on this topic, try the problems of the attendence quiz at Lecture 15 and you will find it easy to play.

• If you keep on making mistakes on exponentials, please find
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch01_SE.pdf
Read Section 1.8, try all example problems, and do Exercise 59 - 84 on page 88 in the pdf file (page 88 in the book).

• If you don't know how to divide a polynomial, please find
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch05_SE.pdf
Read Section 5.3, try all example problems, and do Exercise 27 - 42 on page 31 in the pdf file (page 339 in the book).
After you have done the work, please compare to the technique I used on dealing with t/(t+1) or -2-t/(t+1) in class. You will see that this is actually the simplest example of division.

• If you are not fluent on simplifications of rational functions, please find
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch06_SE.pdf
Read Section 6.1 - 6.4, try all example problems, and do Exercise 29 - 48 on page 61 - 62 in the pdf file (page 463 - 464 in the book).

• If you are not fluent on playing with trigonometric functions, please find
http://www.eht.k12.nj.us/~staffoch/Textbook/chapter04.pdf
Read Section 4.3, make sure you memorize the table of the values of sine, cosine and tangent on usual special angles on page 23 of the PDF file (page 279 in the book)
and do Exercise 17 - 26 on page 28 of the pdf file (page 284 in the book)
Read Section 4.5, make sure you can recognize, distinguish different graphs of the trignometric functions and manipulate them by scaling and translation, and do Exercise 3 - 14, 23 - 16 on page 48 in the pdf file (page 304 in the book)

• If you are not fluent on factorizing polynomials, please find
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch05_SE.pdf
Read Section 5.4, try all example problems and do Exercise 51 - 70 on page 40 of the pdf file (page 348 of the book) .
Read Section 5.5, try all example problems and do Exercise 9 - 46 on page 52 of the pdf file (page 360 of the book).
Read Section 5.6, try all example problems and do Exercise 43 - 70 on page 61 of the pdf file (page 369 of the book).
Read Section 5.7, try all example problems and do Exercise 1 - 66 on page 67 of the pdf file (page 375 of the book).
If you really do all the exercises, then after that you may probably find yourself addicted to playing such a game. I don't recommend to resist such an addiction. Just do all other exercises and it will accelerate your speed greatly in solving problems in homogeneous ODEs.

Notice: The books seem to be developing and page numbering might change. But the section number together with the exercise numbering will be invariant. If you did not find the exercise and the reading materials at the pages I told you, just scroll around, or use Ctrl+F to find sections.

Fei Qi
Room 624, Hill Center
Department of Mathematics
Rutgers University