differential equations

math 251 - section 10

spring 09 - penn state

links:

• syllabus
• 1st day handout
• ANGEL
• old exams
• FERPA
• java applets

instructor:

vivek srikrishnan

office: 017 mcallister

email: srikrish@math.psu.edu

lectures:

mwf 12:20-1:10

303 Willard

r 12:20-1:10

305 Wagner

office hours:

mw 2:30-3:30p

t 11-12p

exams:

midterms

feb 26

apr 7

final

tba

text:

boyce/diprima 9e

• 5/6: Again, the final will be held today at 6:50. Not tomorrow.
• 5/4: If you're interested in picking up HW9 sometime, you'll be able to do so tomorrow or Wednesday in my office.
• 5/1: The final exam will be held ay 6:50pm on Wednesday in 100 Thomas.
• 4/4: The main exam will be at 6:30 in 010 Sparks. The conflict will be at 5:05 in 207 Henderson South.

lecture	topic	lecture notes	practice problems (book)	homework	comments
jan 12	welcome	pdf	§ 1.3: 1-5, 7, 9, 11, 14, 15, 21-23
jan 14	separable eqns	pdf	§ 2.2: 1, 2, 8, 10, 12, 16, 18, 19, 23, 25	review hw0
jan 15	integrating factors	pdf	§ 2.1: 1, 3, 4c, 7c, 8c, 12c, 13, 16, 19, 28, 29
jan 16	more integrating factors		§ 2.3: 2, 3, 5, 6, 8, 10, 13, 14
jan 21	modeling	pdf 1 pdf 2	§ 2.3: 2, 3, 5, 6, 8, 10, 13, 14, 15, 21-24, 29	hw1	hw0 sols
jan 22	exact eqns	pdf	§ 2.6: 1, 3, 9, 11, 15
jan 23	more exact eqns
jan 26	slope fields	none	tba
jan 28	autonomous eqns	pdf	§ 2.5: 1, 3, 4, 9, 10, 12, 22	hw2	hw1 sols
jan 29	existence/uniqueness	pdf	§ 2.4: 1, 3, 5, 7, 10
jan 30	second order eqns	pdf
feb 2	constant coeff eqns w/distinct real roots	pdf	§ 3.1: 1, 3, 5, 8, 10, 12, 15, 16, 20, 23, 24
feb 4	complex, repeated roots	pdf	§ 3.4: 7, 13, 17, 18, 20, 22	hw3
feb 5	reduction of order	pdf	§ 3.5: 1, 2, 4, 9, 11, 14, 18, 23, 25, 28
feb 6	fundamental solutions	pdf	§ 3.2: 1, 4, 7, 11, 18, 23, 25		hw2 sols
feb 9	more wronskian	pdf	§ 3.3: 1, 4, 15, 18
feb 11	undetermined coefficients	pdf	§ 3.6: 1, 2, 13
feb 12	undetermined coeffs 2	pdf	§ 3.6: 3, 16	hw4
feb 13	undetermined coeffs 3	pdf pdf 2	§ 3.6: 4, 5, 7, 8, 11, 13-18
feb 16	mechanical vibrations	pdf	§ 3.8: 6, 14
feb 18	more vibrations	pdf	§ 3.8: 11, 13, 15, 26, 31
feb 19	even more vibrations	pdf	§ 3.9: 5, 6, 10, 12, 15
feb 20	vibrations, again
feb 23	review				hw3 sols hw4 sols
feb 25	review
feb 26	review				exam tonight!
feb 27	laplace transforms	pdf	§ 6.1: 8, 10, 11, 15
mar 2	inverse transforms	pdf	§ 6.2: 1,3,5,7,8,9,12,16,22
mar 5	step functions	pdf	§ 6.3: 1, 2, 3, 4, 5, 7, 8, 9	hw5
mar 6	inverse step transforms	pdf	§ 6.3: 13, 15, 16
mar 7	laplace IVPs	pdf	§ 6.2: 1,3,5,7,8,9,12,16,22 § 6.4: 1,2,5,9,11
mar 16	dirac delta	pdf	§ 6.5: 1,2,4,11
mar 18	series solutions	pdf		hw6	hw5 sols
mar 19	more series solutions
mar 23	systems of des	pdf
mar 25	eigenvalues/vectors	pdf	§ 7.2: 2ac,3ac,4,8,10,13,18,22,25 § 7.3: 1,3,5,6,8,10,12,15,16,22,24
mar 26	systems w/real eigenvalues	pdf	§ 7.5: 1,3,5,11,14,15,17	hw7
mar 27	systems w/complex eigenvalues	pdf	§ 7.6:1,3,4,5,7,10,28
mar 30	systems w/repeated eigenvalues	pdf	§ 7.8: 1,3,5,9
apr 1	nonlinear systems	pdf	§ 9.2: 5a-14a
apr 2	linearization	pdf	§ 9,3: 1-16
apr 3	nonlinear system models	pdf	§ 9.4: 1,3,5,8
apr 6	review
apr 8	boundary values; eigenfunctions	pdf pdf 2	§ 10.1: 1,4,8,11,12,13	hw8
apr 9	heat eqn ivps	pdf	§ 10.5: 2,3,7,8 § 10.6: 12,13
apr 10	fourier series coeffs	pdf	§ 10.2: 13,14,18
apr 13	fourier series 2	pdf
apr 15	fourier series convergence	pdf		hw9
apr 16	more fourier convergence	pdf			hw8 sols
apr 17	heat ivps	pdf
apr 20	other bdry problems	pdf
apr 22	wave equation	pdf
apr 23	wave equation examples
apr 24	laplace equation on a rectangle
apr 27	laplace on a disk/td>
apr 29	review
apr 30	review
may 1	review