Math 341: Differential Equations (Spring 2005)
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You're Invited To Lunch: Every Monday between 12:30-1:30 the Math faculty and others get together for lunch at the Johnson Student Center. Please join us!
Fri Apr 29: Provisional grades are available on Blackboard starting at 9:30am. 100+=A. 90+=A- are eligible NOT to take the take-home final exam. All others have to do the take-home final exam.
Mon Apr 25: My office hours will be 1:30-4:30 on Tuesday. HW #11 and HW #12 will be available for pick up.
Fri Apr 22: If you attend Professor Erika Camacho's talk
Mon Apr 18: Class is cancelled on Fri Apr 22. Exam 2 is on Wed Apr 27. There will be a review in class on  Mon Apr 25 and in office hours Tue Apr 26 1-4pm.
Fri Apr 15: Quiz 10 and BONUS QUIZ 7 are now available. BONUS QUIZ HINT: You don't have to use Laplace Transforms to solve EVERY IVP.
QUIZ 10 HINT: Apply the Convolution Theorem.
Wed Apr 13: Exam #2 is now re-scheduled for Wed Apr 27, since class is cancelled on Fri Apr 22 (I'm at a conference) and I may be on jury duty on Mon Apr 25. NOTE: If you have an A or A- prior to The Final Exam you can elect not to take the final, which will be take-home and cumulative.
Fri Apr 8: Quiz 9 and BONUS QUIZ 6 are now available. HINT: The bonus quiz is easier than the regular quiz. HINT on Quiz 9: use your answer in part (b) to compute part (c).
Fri Apr 1: Quiz 8 is now available. HINT: use the CD-rom to assist you with sketching the phase portraits and detecting the bifurcations.
Fri Mar 25: Quiz 7 and BONUS Quiz 5 are now available
Wed Mar 23: HW #8 will be due in class on Mon Mar 28.
Tue Mar 22: We will be in FN 4 on Wed Mar 23.
Mon Mar 7: I will have extra office hours from 1pm-5pm tomorrow to answer questions before the mid-term exam. (Class is cancelled on Fri Mar 11).

Added a very cool new resource for visualizing solutions of DEs using Matlab.
Fri Mar 4: Quiz 6 is out. Quiz 6 HINT: All cubics have three roots, though some of these roots may not be REAL. If a cubic only has one root which is repeated 3 times then it must be able to factored as (x-c)3.

BONUS Quiz 4 HINT: You can use Quiz 6 to confirm that your general solution in part (c) has the correct form.

Wed Mar 2: Please attend Angela Gallegos' talk today for extra credit.

HW #7 will be due on Mon Mar 7 (along with Quiz 6). Exam 1 will be in-class on Wed Mar 9. Class is cancelled on Fri Mar 11. Enjoy Spring Break! See ya on Mon Mar 21 @8:30am.
Mon Feb 28: Please attend Chad Topaz's talk today for extra credit.
Fri Feb 25: No quiz today. Hand in HW #6 on Monday.
Wed Feb 23: Class is cancelled today (due to rain)! Quizzes will be due on Friday. HW on Monday.
Fri Feb 18: There is a regular Quiz and a Bonus Quiz available this weekend. 

Quiz 5 Hint:
This is basically a reduction of order problem without the fancy formula given to you.

Bonus Quiz Hint:
Recall that a determinant of a 2x2 matrix [a b; c d] is simply ad-bc.
Fri Feb 11: There is a regular Quiz and a Bonus Quiz available this weekend. Monday's class we're in Fowler North 4. Bring Laptops if you have them.

Quiz 4 Hint:
You can think of the bifurcation geometrically as well as algebraically. How do the values of y which are the roots of the right hand side of the DE (which turn into the equilibrium solutions of the DE) change as the parameter alpha changes? Don't forget that you have to satisfy f(y;a)=0 and f'(y;a) simultaneously.

Bonus Quiz Hint:
This is the same DE as last week's Quiz 3, but you must use a different solution technique (substitution, this time) to solve it.
Fri Feb 4: There is a regular Quiz and a Bonus Quiz available this weekend. 
Quiz 3 Hint:
in part (a) algebraically change the DE into M dx + N dy = 0. Note you do not have to find the integrating factor in part (b), just use it!

Bonus Quiz Hint:
Choose simple value of C in part (b), like -1,0,1 and 2. Recall a Clairault Equation has the form y=xy'+g(y') and has solution y(x)=Cx+G(C).
Mon Jan 31: The AIM names of the students in the class are now available from the Resources page
Fri Jan 28: Here's the HINT for Quiz 2: Think about what the sign of P' and P'' tell you about the shape of the solution curve P(t). Note: both P and t must be non-negative.
Thu Jan 27: We are back in our new regular classroom from now on: Fowler North 2.
Tue Jan 25: We will have class again in Fowler North 4 on Wed Jan 26 so we can access the computers.
Fri Jan 21: Hint posted on Blackboard.oxy.edu discussion board for Quiz 1