Office hours: Mondays 5:00PM - 6:00PM, Tuesdays 6:00PM - 8:00PM, Hill 624 or by appointment.
Email: cl.volkov at rutgers dot edu (for friends) / fq15 at scarletmail dot rutgers dot edu (for teaching)
In the Spring of 2017 I taught 640:244 (Differential Equation for Physics and Engineering) for Sections 20 - 22.
I taught the same class in the past. Here are the materials I taught in Summer 2015. And here are the materials I used for teaching recitations of 244 in Spring 2015, Fall 2014, Spring 2014 and Fall 2013.
Please find Dr. Shtelen's syllabus, schedule and homework assignments here.
Please find the information concerning maple labs here.
All announcements are to be posted on sakai. Please make sure that you have a working email address registered to the system.
Week 1 (Jan. 18): Law of Algebra, Review Slides of basic formula, Review of Technique of Integration
Surveillance Quiz, Solutions
Here are my own notes for Section 1.1 and 1.2, Section 1.3 and 2.1
Week 2 (Jan. 25): Recitation Notes, Quiz 1.
In case you have time, please also watch MIT Lecture 1 to further understand the geometric interpretation of ODE.
Regarding the first order linear ODE, you can also check MIT Lecture 3 and read Dr. Z's notes for 2.1 for further understanding.
Here are my own notes for Section 2.2 and 2.4
Week 3 (Feb. 1): Recitation Notes, Quiz 2, Solutions.
In case you have time, please also read Dr. Z's notes for 2.2 and Dr. Z's notes for 2.4 for further understanding.
More modeling examples with ODE is available in MIT Lecture 7 and MIT Lecture 8.
Here are my own notes for Section 2.3, Section 2.5 and Section 2.6
Maple Lab 1 has been assigned and will be due on Feb. 24, 2017. Please find the instructions here and the seed file here. Please submit your work on sakai.
Week 4 (Feb. 8): Recitation Notes (Part 1), Recitation Notes (Part 2) (allow me to reuse the notes in the past). Quiz 3
In case you have time, please also watch MIT Lecture 5 and read Dr. Z's Notes on 2.5 (Note that Dr. Z used a different method).
Here are my own notes for Section 2.7 and Section 3.1.
Week 5 (Feb. 15): Recitation Notes, Quiz 4
As we won't have time to go over the problems assigned this week, here is the old recitation notes for everything in 3.1 - 3.4 and solution to some tricky problems.
Please make sure that you can answer all the Review Questions.
In case you have time, please watch the MIT Lecture 2 for a much better understanding to numerical methods, and MIT Lecture 9, MIT Lecture 10 and MIT Lecture 11 for a better understanding to 3.1 - 3.4.
Here are my own notes for Section 3.3 and 3.4 and Section 5.4 (starting from Page 7). You can also read Dr. Z's notes on 2.7, 3.1, 3.2, 3.3 and 3.4
In case you are not familiar to complex numbers, please watch MIT Lecture 6 to get acquainted.
Some old study guides, midterm exams and solutions can be found in the websites of my past teaching: Summer 2015, Spring 2015, Fall 2014. Hopefully they help.
Week 6 (Feb. 22): No recitation notes this week. Aside from those exam problems, I just went over the notes I announced in the previous week.
The Quiz this week is take-home. Please carefully review Section 2.6 and 3.4.
Week 7 (Mar. 1): Recitation Notes, Yet another take-home Quiz
The principle I talked about in the recitation notes applies to Chapter 4 as well. You should keep in mind that
1. First try templates, as well as exponential powers, are determined ONLY by the right hand side of the ODE.
2. To determine how many times your template fails, you have to look at the characteristic roots, which are determined ONLY by the left hand side of the ODE.
Please understand this set of recitation notes thoroughly.
For 3.5 and 3.6, Dr. Z's notes may also be helpful: Notes on 3.5, Notes on 3.6
My own notes on 3.5 (Part 1), 3.5 (Part 2), 3.5 (Part 3), 3.6, 3.4 and 3.7 (Course Plan), 3.4 and 3.7 (Notes Part 1), 3.7, 5.4 (Notes Part 2), 3.6, 3.8
Week 8 (Mar. 8): Recitation Notes, Quiz 7
Basically all the related materials were posted last week. So nothing more here.
Week 9 (Mar. 15): Spring break. No recitation today. Enjoy!
Week 10 (Mar. 22): Recitation Notes, Quiz 8, Quiz 8 Make-up
Maple Lab 3 is due next week. Late submissions are allowed up to next Friday (Mar. 31, 2017).
In case you have time, please read Dr. Z's notes on Section 4.1, Section 4.2, Section 4.3.
My own notes on 4.1, 4.2, 4.3. Please find my notes on 3.8 above.
Week 11 (Mar. 29): Recitation Notes for Linear Algebra, Quiz 9, Recitation Notes for 7.5, 7.6 and 7.8
(Although these notes were written a while ago, it should be able to help)
For the linear systems, Dr. Z's notes on 7.1, 7.4, 7.5, 7.6 and 7.8 should also be helpful.
Please go over the (updated) Review Questions and make sure you are comfortable on everyone of it. I think it would help you better than any practice exam.
Week 12 (Apr. 5): Recitation Notes Part I: Phase Portraits (real eigenvalues), Part II: Phase Portraits (repeated and complex eigenvalues), Quiz 10
Maple Lab 4 is due on next Tuesday (Apr. 11). Late submissions are accepted until next Friday (Apr. 14).
Related MIT Lectures: Lecture 24, Lecture 25, Lecture 26, Lecture 27
Week 13 (Apr. 12): Quiz 11
Aside from exam problems, all I talked about in class are in the recitation notes or previous week. Please go over it and especially make sure you know how to deal with complex eigenvalues.
Week 14 (Apr. 19): Quiz 12
Here are my summer course notes on Chapter 9: 9.1, 9.2, 9.3, 9.4, 9.4 leftovers (Shared by Ms. Shawnie Caslin). Also please watch MIT Lecture 31 for how to deal with nonlinear systems.
I wasn't able to type up the notes for finding global trajectories. In case you have taken neat notes, please don't hesitate to share.
Maple Lab 5 is supposed to due yesterday. Late submissions are accepted until next Tuesday (Apr. 25).
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.