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Math 250.003 Spring '04

MWF 11:15 - 12:05 112 Osmond
Webpage: http://www.math.psu.edu/emeliane/math250
                  (also at ANGEL)
Instructor: Maria Emelianenko
Email: emeliane@math.psu.edu
Office: 407 McAllister
Office hours: Tuesday 4-5pm, Thursday 4-6pm


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 Section-by-section correspondence chart between 6th and 7th edition of Boyce-DiPrima

 Site contents:  Syllabus  Exams  Announcements  Lecture notes  Projects  Schedule and homeworks  Links  Help info  Gradelist

Exams
Midterm 1: Thursday, February 26 6:30 - 7:45 pm 100 Thomas.   Review sheet for Exam I (pdf)   Answer key for Exam I (pdf)
Midterm 2: Monday, March 29 6:30 -7:45 pm 100 Thomas.   Review sheet for Exam II (pdf)  
Final Exam Tuesday, May 4 2:30 - 4:20 pm 026 Hosler. Review sheet for the Final Exam(pdf)
Announcements
Look for Angel-related announcements in the Angel "In Touch/Announcements" section!

[01/12/04]  Welcome to class! Hope you'll enjoy it!

[01/13/04]  There will be a 20-minute quiz in class on Friday. Part of the questions will be on your knowledge of calculus formulae (from this list), these are given as review. They will not count towards your final score.

I also highly recommend doing the "Are you ready for ODE?" quizzes from the U.Arizona website. If you need help with those, feel free to ask me.

[01/19/04]  Quiz 2 is going to be online at ANGEL (Friday 12am - Monday 12am). Material: 1.3, 2.1

[01/21/04]  First study session (HW2) is going to be held Thursday (Jan 22) 4-6pm at 407 McAllister.

[01/27/04]  Quiz 3 is scheduled for Friday, Jan 30 in class (<=15min). Material: 2.1-2.3. Second study session (HW3) will be held on Thursday (Jan 29) 4-6pm 407 McAllister.

[01/30/04]  HW3 deadline has been extended till Monday. Penalty of 2pts will be applied if submitted on Tuesday and 5pts on Wednesday, so please submit it on time!

[02/04/04]  Quiz 4 is going to be on Angel Fri-Sun. Material: 2.3,2.4. Third study session is scheduled for Thursday night (4-6pm) in my office.
[02/09/04]  HW5 is online and is due on Friday. Quiz 5 will in class on Friday, material: 2.5. Study session Thursday night will be held in room 212 McAllister (coffee lounge) this time. Please check in my office too just in case.

[02/10/04]  Some changes have been made to HW5 (due Friday Feb 13), please check out the new version!

[02/16/04]  HW6 is online and is due on Friday. Quiz 6 on Angel Fri-Sun. Material: 3.1-3.2. Study session Thursday night is in room 212 McAllister (coffee lounge) 4-6pm.

[02/22/04]  One more practice exam has been added as well as several tutorials (see Links).

[02/24/04]  Review session for Exam 1 is scheduled for Wednesday 5-7pm in 127 Sackett

[02/27/04]  HW7 is due Friday 03/05. If you're planning on leaving earlier, please make sure to submit it to me in class on Wednesday or at OH Thursday night. No extensions please! Quiz 7 is going to be online Wed-Fri. Material: 3.3-3.5

[03/01/04]  Check out the answer key for Exam I. I'll be assigning time slots this week to meet with all of you to discuss the results of the midterm. If there are any times which you know will be best for you, please let me know. Otherwise I'll email you with my suggestions.

[03/02/04]  Appointment schedule is available now. Those of you who need to see me about the exam have to email me with preferred time slot as soon as possible.

[03/16/04]  HW8 is due Friday 03/19. In-class Quiz8 is scheduled for Friday, material: 3.5-3.6

[03/20/04]  HW9 is due Friday 03/26. Quiz 9 is going to be online Fri-Sun. Material: 3.5,3.6,3.8,3.9. Review session for Exam 2 is scheduled for Sunday March 28, 5-7pm, 109 Osmond.

[03/25/04]  Midterm 2 review sheet is posted online. HW9 deadline is postponed till Monday for those who need more time to work on vibrations. Project 2 will be accepted till Friday April 2, so you can work on it after the midterm if you wish.

[04/06/04]  HW10 is due Friday 04/09. Quiz 10 is online Fri-Sun. Material: 6.1-6.3. Study session is going to be in my office Thursday 4-6pm.

[04/10/04]  HW11 is now available and is due Friday 04/16. 20-min Quiz 11 will be in class on Friday. Material: 6.1-6.4.

[04/19/04]  HW12 is posted and is due Friday 04/23. Quiz 12 will be online Fri-Sun. Material: 7.1-7.6

[04/24/04]  HW13(last one) is due Friday 04/30. Quiz 13 will be online Wed-Sun. Review session for the Final Exam is scheduled for Monday May 3, 7-9pm, 105 Osmond. I will be available for help on Sunday as well for those who can't attend the Review. You should let me know if you need an individual appointment. Project 3 is due on Monday at the Review session, but can be submitted in class on Friday.

[04/27/04] I have to cancel my regular office hours this Thursday due to an exam. There is still an office hour this Tuesday at 4pm and I will be available for help most other days except for Thursday. Just drop me a line in case you want to see me and I'll be there.

[04/30/04] I posted answer keys for the practice exam and sample exam questions, so have a look. I remind you that hw13 and project3 will be accepted till Monday 7pm at the Review session and I'm going to post solutions for them the same evening. Quiz13 is due by Sunday midnight. Remember that in case you started doing the quiz before Wednesday evening, you'll have an incorrect version of question 4 answers until you actually hit "submit" and make a fresh start. I've added an extra attempt to all of you because of the typos in the original version.
Lecture notes
Chapter I. Introduction (slides)

Chapter II. First order DE

      Model flow problem is here
      Model falling body problem is here
      Model rising body problem is here

      Read some notes on equilibria classification here
      Class handout: classification of critical points (pdf)

Chapter III. Second order DE

Chapter VI. Laplace transform

      Class handout: Laplace transform and Translation theorems (pdf)
      Read some notes on step functions here
      Model IVP problem on discontinuous forcing functions is here
Team projects (bonus)
- There will be approximately 3 group projects available.
- These are completely voluntary and are designed mostly for your practice before each of the exams. Bonus points will be added to your HW/quiz score for each of the problems you solve
- You may work in groups of no more than 4 people and submit your work either separately or in one group report.
- If you do submit it individually, be sure to mention the names of your team members on the front page of your report.
- The problems in these projects might be a little more challenging than the hw or exam questions, so don't be discouraged if you encounter difficulties. Don't hesitate to seek my help with these problems as well as with any other questions about the course.

Team project 1 - due Wednesday Feb 25.  Solution set: (pdf)

Team project 2 - due Friday April 2.  Solution set: (pdf)

Team project 3 - due Monday May 2 at the Review session.  Solution set: (pdf)
Tentative schedule
  Adobe reader needed to view .pdf files is available here
[01/12/04]
Section 1.1 		[01/14/04]
Section 1.2 		[01/16/04]
Section 1.2    HW1 is due!  HW1-sol  quiz1  quiz1-sol
[01/19/04]
Section 1.3-2.1 		[01/21/04]
Section 2.1   HW1, quiz1 results 		[01/23/04]
Section 2.2    HW2 is due!  HW2-sol  quiz2 on ANGEL
[01/26/04]
Section 2.2-2.3   quiz2 results 		[01/28/04]
Section 2.3   HW2 results 		[01/30/04]
Section 2.3    HW3 is due!  HW3-sol  quiz3  quiz3-sol
[02/02/04]
Section 2.4     quiz3 results 		[02/04/04]
Section 2.4 		[02/06/04]
cancelled        quiz4 on ANGEL
[02/09/04]
Section 2.5   quiz4 results; HW4 is due!  HW4-sol  		[02/11/04]
Section 2.5   HW3 results 		[02/13/04]
Section 3.1    HW5 is due!(note changes!)  HW5-sol  quiz5  quiz5-sol
[02/16/04]
Section 3.1-3.2   HW4 results 		[02/18/04]
Section 3.2   quiz5 results 		[02/20/04]
Section 3.3    HW6 is due!  HW6-sol  quiz6 on ANGEL
[02/23/04]
Section 3.3   quiz 6 results
Conflict midterm I deadline is Tuesday 02/24! 		[02/25/04]
Review: Midterm I  Project 1 due
Midterm I is on Thursday 02/26 at 6:30pm! 		[02/27/04]
Section 3.4   HW6 results
[03/01/04]
Section 3.5   Exam 1 results 		[03/03/04]
Section 3.5-3.6     quiz7 on ANGEL 		[03/05/04]
Section 3.6   HW7 is due!  HW7-sol 
Final Exam Conflict filing deadline
[03/08/04]
Spring break - no class 		[03/10/04]
Spring break - no class 		[03/12/04]
Spring break - no class
[03/15/04]
Section 3.6 		[03/17/04]
Section 3.6   HW7 results 		[03/19/04]
Section 3.6    HW8 is due!  HW8-sol  quiz8 in class   quiz8-sol
[03/22/04]
Section 3.8   quiz8 results 		[03/24/04]
Section 3.8-3.9   HW8 results 		[03/26/04]
Section 3.9    HW9 is due!  HW9-sol  quiz9 on ANGEL
[03/29/04]
Review: Midterm II  quiz9 results
Midterm II is on Monday 03/29 at 6:30pm! 		[03/31/04]
Section 6.1  Exam 2 results 		[04/02/04]
Section 6.2  HW9 results   Project 2 due
[04/05/04]
Section 6.2 		[04/07/04]
Section 6.3 		[04/09/04]
Section 6.3    HW10 is due!  HW10-sol  quiz10 on ANGEL
Late drop deadline
[04/12/04]
Section 6.3-6.4   quiz10 results 		[04/14/04]
Section 6.4-7.1   HW10 results 		[04/16/04]
Section 7.1-7.4    HW11 is due!  HW11-sol  quiz11 in class   quiz11-sol
[04/19/04]
Section 7.1-7.4   quiz11 results 		[04/21/04]
Section 7.5   HW11 results 		[04/23/04]
Section 7.5    HW12 is due!  HW12-sol  quiz12 on ANGEL
[04/26/04]
Section 7.6   quiz12 results 		[04/28/04]
Section 7.6   HW12 results 		[04/30/04]
Review: Final Exam
HW13 is due!  HW13-sol  quiz13 on ANGEL
Project 3 is due Monday 7pm at the Review session
Help info and contacts
If you are looking for help, these are some of your options:
  • Try coming to my office hours: T 4-5pm, R 4-6pm. Thursdays are usually busier because of HW deadline, so try coming on Tuesday if you need more individualized attention.
  • If you have conflict with my OH or OH seems too crowded, talk to me after class or email me, I'll try to make an appointment for you at a different time. Or you can try to stop by my office at any time (I'm usually there all day MWF and TR evenings)
  • You can join Math Club in their weekly meetings at 212 McAllister. Tutoring is offered after each meeting.
  • Math Center provides some free tutoring for math courses (located in 222 Boucke)
  • If you feel you might benefit from private tutoring, look at the Private tutor list
If you have concerns or suggestions that you'd rather leave anonymous, please use the anonymous feedback form. I need to know what you think in order to make the learning process effective, so any feedback is valuable to me.

If you like what you see in the course and would care to give me a token of appreciation, you can drop a line to my teaching supervisor Prof. Regina Rotman to let her know how I'm doing.
Useful links
Every now and then I find interesting information on the web or in press. I'll be putting this stuff here, since it could help some of you with the general understanding of the course. If you find something useful yourself, please let me know, I'll be really happy to expand this list with your suggestions.

Useful links for use with HW assignments:
Partial fractions tutorial
Integration tutorial
Partial derivative examples
A concise Integral Table from Mathwords
Calculus review - formulae you have to remember!
Huge collection of Math related info at Wolfram Mathworld

Software tools available online (for use with HW assignments):
ODE Software: powerful Dfield and PPlane Matlab tools (read instructions!)
DFDEMO: Direction field Java applet
One more direction field Java applet
Phase portrait generator (applet by Prof. Mansfield, PSU)
Studying ODE (applets for dir. fields, solving systems and more, by M. Rychlik)
Differential Equations and Initial Value Problems, applet
Systems of ODEs, applet
ODE solver Solutia (script for solving DE in standard form)

Course notes from different sources
ODE modules from Duke Univ. (TRY THESE!)
S.O.S. Math - nice short Differential Equations course online
S.O.S. Mathematics - CyberExam - sample exams online
Nagle's ODE book: Interactive Differential Equations supplement
1st Order ODEs (nice introductory notes by I. Blank, in .ps format)
Differential Equations Notes (good notes w/lots of examples by B. Ikenaga, in .ps format)
GATech DE course (great notes, by Jason Metcalfe)

Miscellaneous links
You might need to install current version of Ghostview to be able to view .ps files!

ODE Lecture Notes (handwritten notes, more advanced material, by M. Pemberton)
Advanced Differential Equations (extended source of notes on DE by S. Newhouse, in .ps format)
ODE course for Engineers (nice application examples, by J.R. White)
ODE notes (in .pdf, by Peter Wolenski, LSU)
Numerical Solution of ODEs (CSEP electronic book)
Numerical Solution of ODEs (Advanced course on theory of ODE, .ps file)
Numerical Methods (S. Dalziel)
Partial Differential Equations Notes (html notes on PDEs by A. Hood)
Course Notes: ODE, PDE etc (J. Labute at McGill, in .pdf)
Topics in Calculus (has some ODE notes too, by L. Lady)
ODE Notes and Exercises (Maple-based exercises, by P. Monk)
ODE course: lectures, problem sets, exams etc (by J.N. Kutz, U. Wash)
ODE Exams, Worksheets, ... (R.L. Devaney)
Mathematical Notes (.pdf notes on ODE by M. Malek, more theoretical)
PDE & Vector Calculus Lecture Notes (by W. Zakrzewski, Durham UK)
Complex Analysis and Differential Equations (by S.G. Rajeev, Rochester)
Difference Equations to Differential Equations (D. Sloughter)
Linear Methods ... (E.M. Harrell, J.V. Herod)
Hilbert Space Methods for PDEs (R.E. Showalter)
Topics in Integral and Differential Calculus (T. Kawasaki)
ODE Projects (A.C. Heinricher)
Maple Worksheet Repository
Graphical Tools (applets)
Taylor polynomial applets:   1, 2, 3, 4
Java Examples etc. (J. Feldman)
Damped Harmonic Motion, applet
Interactive Math Programs (calculus and DE applets from Dartmouth)
Kepler's Laws, applet
Fourier Synthesis, applet
The Lorenz Equations, applet
Nonlinear Klein-Gordon wave equation (applet by Paul Garrett)
Heat equation, applet
Java calculus, applets
MathServ DE Toolkit
Math Archives: ODEs, PDEs
Math Forum - Differential Equations (notes, problems, puzzles, discussions etc)
Differential Equations and more (calculus.net project)
ODE Project at BU
Sampler of applets (performance analysis, by Paul Garrett, UMN)
Famous Curves Applet Index (spirals, involutes and more)
Math Reference Tables




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