MTH 306

Note: keep a journal of your activities, just as for the 1st project. 306B teams
306D teams
You can find your teammate email addresses in here.

Here are the options for your second project.
Sign-up will be in class, Friday, Nov 13. Teams of 4 students as in the First Projects. A maximum of 4 teams per option.

We're going to do this a little differently from last time. You're going to rank the project options from 1 (most preferred) thru 4 (least preferred) on these sheets:
preference sheet for 306B
preference sheet for 306D
If you wish, you can print these yourself and fill them out before class. I will also bring copies to class tomorrow.
You will notice that a maximum of 3 people can identify themselves as a team. This is so I have places to put other students who do not identify partners. (So if there are 4 of you, you should split yourselves into 2 teams of 2.)

Homework #1 due at the beginning of class, Wed, Sep 9. Solutions. The missing 1.2.2
Homework #2 due at the beginning of class, Wed, Sep 16. Solutions.
Homework #3 due at the beginning of class, Wed, Sep 23. Solutions.
Homework #4 due at the beginning of class, Wed, Sep 30. Animation of f as e varies in fishing problem (Maple code). Solutions
Homework #5 due at the beginning of class, Wed, Oct 7. Solutions
No homework due Wed, Oct 14: focus on 1st Projects
Homework #6 due at the beginning of class, Wed, Oct 21. Solutions: Lab assignment, Book problems.
Homework #7 due at the beginning of class, Wed, Oct 28, Book problems, skyscraper Lab, week 8
Homework #8 due at the beginning of class, Wed, Nov 4. Note that last week's lab problems were just for practice and are NOT part of HW 8. Solutions 3.5.2 missing page
Homework #9: Just the lab from last week (TD diagram).
Homework #10 due at the beginning of class, Wed, Nov 18. Solutions

Solutions

Pre-exam Office Hour: Tuesday, Nov 10, 5:00-6:00pm, Norton 112.

Exam 2 will be in-class on Wednesday, Nov 11. It covers Ch. 2.1-2.4, 3.1-3.7. You may bring one single-sided 5"x8" note card with you to the exam, and a scientific non-programmable non-graphing calculator if you wish.

Certain to be questions on:
1. Equilibria and phase portrait of a nonlinear or linear system using nullclines. Please note that this is in Section 5.2 of the text.
2. General solution and IVP solution for 2x2 linear system(s).
Could be distinct real, repeated, and/or complex eigenvalue cases. Also phase portrait, and sketch of x(t), y(t).

Chalkboards from review session

Wed, Sep 02 and Fri, Sep 04: Modeling exercise: coffee cooling
Wed, Sep 09 and Fri, Sep 11: Making and using slope fields
Mon, Sep 14 and Wed, Sep 16: Using Euler's method and controlling the error
Mon, Sep 21 and Wed, Sep 23: Phase lines and fishing
Wed, Sep 30 and Fri, Oct 2: Phase plane drawing
Mon, Oct 05 and Wed, Oct 7: MJ solutions, vector field, Euler method
Mon, Oct 12 and Wed, Oct 14: 2D systems vector field and numerical solution, cont'd
Mon, Oct 19 and Wed, Oct 21: Qualitative analysis of 2D autonomous system (Duffing skyscraper)
Mon, Oct 26 and Wed, Oct 28: Practice obtaining analytical solutions for 2D linear systems
Mon, Nov 2 and Wed, Nov 4: TD diagram for 2D linear systems
Mon, Nov 16 and Wed, Nov 18: The most comfortable shock

Mon, Aug 31: Asteroid, Smoke
Wed, Sep 02: First separable DE example: some solution curves (generated by this)
Fri, Sep 03: Slope field plots: slopefield.mws
Wed, Sep 9: Matching slope fields with DEs
Euler's method: varying the timestep.
Wed, Oct 21: Linear combination of 2 straight-line solutions of a linear system: linear.txt
Fri, Oct 23: Direction fields for some systems with 2 distinct real eigenvalues: eigen_demos.txt
Wed, Oct 28: Direction fields and 2 solutions for spiral source: spiral_source.txt
Mon, Nov 2: damped harmonic oscillator: 2ndorder.txt

Wed, Nov 4: TD diagram, char poly, eigenvalues, phase portrait: TDplane (32-bit Linux) TDplane (64-bit Linux)
Mon, Nov 9 Sum of multiples of sin and cos sinpluscos.mws, resonance_peak.mws
Fri, Nov 13, Sinusoidally forced damped oscillator: amplitude and phase: res_amp_and_phase.png, resonance_peak_f09.txt, undamped_forced_anim.mpl.txt Mon, Nov 23, linearization comparison: pendulum_linearized.mws, competing_species_linearized.mws

Chalkboards Section B
Chalkboards Section D

Pre-exam Office Hour: Tuesday, Oct 6, 5:00-6:00pm, Norton 112. Chalkboards

Exam 1 will be in-class on Wednesday, Oct 7. It covers all of Ch. 1. You may bring one single-sided 5"x8" note card with you to the exam, and a scientific non-programmable non-graphing calculator if you wish.

Solutions (both versions, both sections

B: Mon, Dec 21, 11:45am-02:45pm, Knox 110
D: Tues, Dec 15, 11:45am-02:45pm, Fronczak 422

Air project masses: my coffee filters 2.438g for 4, penny 2.493g, nickel 4.971g, dime 2.256g, 5.770g.
If you use your own filters and don't have a way of weighing them, I can do it for you - bring me a few ASAP.
Project now due Friday, Oct 16.
Note for chain and air-resistance project students
Help for air project students: in case you don't have a table of integrals handy,
integral of 1/(a^2-x^2) = arctanh(x/a)/a , and integral of tanh(ax) = log(cosh(ax))/a.
1st Project Information
Sign-ups at the beginning of class, Wed, Sep 30.
Section B groups
Section D groups
If you have not got in touch with all your partners, use the UB Online Directory to find their email addresses and contact them.
For discussion: judging criteria for a research project.

Me: Office hours: Fridays 3:30-4:30pm, Tuesdays 5:00-6:00pm.
Section B: Xinjuan Chen, xc5 at buffalo.edu, 125 Math Bldg, 645-6284 x 161. Office hours Thursday 12-2pm. Help Center* hours Mon & Wed 9:00-10:00am
Section D: Yingjie Miao, ymiao at buffalo.edu, 140 Math Bldg, 645-6284 x 171. CHANGES!: Office hours Tu Th 8-9am, Help Center* hours W 12-1pm, Fri 3-4pm
*The Math Help Center is on the 1st floor of the Mathematics Bldg.

Class Policies
Syllabus
Semester grid
If the following proposed revision to the lab schedule will cause you any difficulty, please let me know ASAP.

Operating system: You can use Linux, Mac or Windows as you prefer. My preference is for free software, so I use Linux. The machines in the Baldy lab run Linux.
Mathematical computing software: Maple13. UB has a site license: download from here.
Project report writing and spreadsheets: the free OpenOffice.org is recommended. Microsoft Office is OK, but you will still need OpenOffice to view some documents, such as lab assignments.
Image editing: GIMP. This may be useful in preparing figures for your project reports.