Lectures: MWF 11-12AM,

• Monday and Wednesday, Bowen Hall Auditorium (Princeton Material Institute),
• Friday, C-207, E.Q.

• Prof. Harvey S. H. Lam, D302c EQuad, ext. 8-5133;

Email: lam@princeton.edu

• Omer Alis, Fine Hall, ext. 3683.
• Vincent Chiravalle, G04, Energy Wing;  ext. 5213.
• Jonathan Mattingly, Fine Hall, ext. 3682.
• Qian Wang, D309A, E.Q. ext. 1152.
• Pingfan Wu, J224, E.Q. ext. 0305.
• Wei Zhou, J-232, E.Q. ext. 0313.

• 4-6PM, D=321, E.Q. Wednesday and Thursday in any normal school week (except first and second week).
• The second week of MAE 305 is computer week. On Wednesday and Thursday (September 24 and 25) of that week, the office hours will be 8-10PM, (by popular request) to be held in E-217 and E-423, the SGI (Silicon Graphics) workstation cluster.

Please subscribe to newsgroup (or Collabra Discussion Group), pu.mae.305. You can ask questions there, read my answers to questions that other students asked.

To be announced here.

Course Description

First order ODEs, existence and uniqueness; second and higher order linear ODE's, series solutions; Laplace transform; system of first order ODE's, eigen-analysis; numerical methods; Nonlinear differential equations and stability, phase portraits and singular point analysis; PDE with separation of variables, Fourier Series; Sturm-Liouville Theory and boundary value problems. Prerequisites: Math 201/203 and Math 202/204.

Home Works

Assigned on Friday, due the next Friday, 2PM. There are 11 weekly homeworks, and the lowest homework grade will be discarded.

Grades

Homeworks 30%, Mid-Term#1 20%, Mid-Term#2 20%, Final 30%.

Additional reference books

Student Edition of Matlab, The Math Works, the latest edition.

Mathematica, Wolfram Research Inc., the latest edition.

Outline and Assignments

• September 12.
• Assignment#1.
• Graders: Pingfan Wu and Vincent Chiravalle.
• September 15, 17, 19.
• Assignment#2.
• Supplementary Notes on Picard Iteration and Matlab.
• Graders: Qian Wang and Omer Alis.
• September 22, 24, 26.
• Assignment#3.
• Graders: Wei Zhou and Jonathan Mattingly.
• September 29, October 1, 3.
• Assignment#4
• Graders: Pingfan Wu and Vincent Chiravalle
• October 6, 8, 10.
• Assignment#5
• Graders: Qian Wang and Omer Alis
• October 13, 15, 17.
• Assignment#6 (Study hints for the first Mid-Term)
• Last year's first mid-term
• This year's first mid-term
• Answers to this year's mid-term
• October 20, 22, 24 (1st Mid-Term)
• Review, review, Mid-Term.
• Fall Break.
• November 3, 5, 7.
• Assignment#7
• November 10, 12, 14.
• Assignment#8
• November 17, 19, 21.
• Assignment#9
• November 24, 26(2nd Mid-Term). No homework to be handed in!
• Review, 2nd Mid-Term, then Thanksgiving.
• Study hints for the second mid-term.
• Last year's second mid-term.
• Answers to this year's second mid-term. The phase portrait here is plotted not by hand, but by computer. For the exam, your are expected to draw it by hand, using N(x,y)=0 and D(x,y)=0 to help you in the sketching process.
• December 1, 3, 5.
• Assignment#10
• December 8, 10, 12.
• Assignment#11
• Final Tips
• Last Year's FInal
• Some practice problems posted January 15th, 1998
• Christmas and New Year Holidays.
• January 5 ...Reading Period.
• Review Session by Lam on Wednesday, 11AM, in PMI Auditorium. Bring questions!