After the Preliminary Assignment, an assignment generally consists of

A q_a document,
A corresponding text assignment, and
A problem assignment with an accompanying Query document.
A link to an appropriate Class Notes document is included as an additional resource, as well as videos.

A reference to the general topics covered in the q_a_ and Query documents are also included.

You are expected to use the various resources to understand the material and solve the assigned problems. The Query document is submitted at the end of the assignment, after having worked out the assigned problems on paper, using methods appropriate to the course.

You are not expected to submit all the assigned problems, but you are expected to give good explanations in the Query document.

The q_a_ document is not required, but is recommended. In general the q_a_ document parallels the Class Notes. If you find that you can solve the problems in the Problems document without doing the q_a_'s then you probably don't need the q_a ' s; however it is expected that most students will need the q_a 's as well as many of the other resources provided here.

The only exceptions to this recommendation are qa_00 and qa_01, which are assigned both as qa's and as Queries (you need only submit each document once).

Symbols used in this course:

Note that symbols might not be correctly represented by your browser. For this reason the Greek letters will be spelled out, with ` in front of the spelling. You should substitute the appropriate symbol when making notes.

Asst Number, original date of creation during Spring Semester 2011	qa	Class Notes / QA Topics	Associated Text Section(s) First Edition	Query	Query Topic (note Query topic often runs 2 or even 3 assignments 'behind' qa topic)	class notes reference	video link
Preliminary	You should be working on the Orientation and Startup for your course. Preliminary Assignment and Assignment 0 are still being fine-tuned; will be available by 8/22. Some of the later links might not yet work, as of 110528. Section numbers are not yet correlated with the Second Edition. Some editing of linked documents will occur during the term. A document will be edited prior to the first date on which it is assigned. You will learn how to complete or submit assignments when you complete the Orientation and Startup.						initial videos
#0	qa 00	qa_00 is an assessment/review of some basic first-year calculus topics the document is in qa format but, so that it may function as an assessment tool, the document does not contain given solutions		qa 00
#1: View initial videos and take notes. Begin work on qa_01 See Spring 2012 link for Spring 2012 Class Notes		This assignment includes sufficient introductory material to be done before receiving the textbook. m x '' = f(t, x, x') and some solns basic terminology approx solns direction fields brief synopsis each asst	Ch 1	Recommended: Begin work on qa 01 Partial submission in permissible.		110110 See also Spring 2012
#2	qa 01	problems related to introduction	Ch 1	(query 00)	existence and uniqueness	110119	disk1
#3	qa 02	first-order linear homogeneous first-order linear nonhomogeneous	2.1, 2.2	Section 2.2 Problems Query 01	first-order linear homogeneous	110124
#4	qa 03	dP/dt = k P; dP/dt = k P + m as lin eqns first mixing problem	2.3	Section 2.3 Problems Query 02	first-order linear non-homogeneous	110131
#5	qa 04	direction field; scaling of direction field temp relaxation as lin equations separable equations implicit differentiation, exact equations	2.4	Section 2.4 Problems Query 03	exp growth/decay growth with migration	110202
#6	qa 05	effect of vertical asymptote in direction field form of equation exact eqns as differentials test for exactness	2.5	Section 2.5 Problems Query 04	mixing temperature relaxation	110207
#7	qa 06	existence air resistance quadratic in v exact bernoulli intro logistic intro	3.1, 3.2	Section 3.1, 3.2 Problems Query 05	separable(?) equations match graphs of solutions with equations	110209
#8	qa 07	logistic equation etc linear, quadratic drag force dv/dt = dv/dx * dx/dt etc	3.3	Section 3.3 Problems Query 06	exact equations	110214
#9	qa 08	euler method overestimate or underestimate effect of step size airsoft BB shot	3.4	Section 3.4 Problems Query 07	Bernoulli equations	110216
#10	qa 09	second order sub y = e^(rt) Wronskian span of set of functions Euler identity linear independence	3.5	Section 3.5 Problems Query 08	logistic	110221
#11	qa 10	more second order region of definition 2d order nonconst coeff more Wronskian where Wronskian comes from implications if y = u e^(r t) two lin ind solns for simple pend	3.6	Section 3.6 Problems Query 09	drag vertical projectiles	110223
#12	qa 11	repeated root: y = u e^(r t) etc. LRC homogeneous LRC nonhomogeneous LRC analogous to spring with air drag	3.7	Section 3.7 Problems Query 10	resisted motion	110228
#13	qa 12	undetermined coefficients try y = u1 y1 + u2 y1 etc (var param) then with y_1 u_1 ' + y_2 u_2 ' = 0	3.8	Section 3.8 Problems Query 11	Euler's method	110302
#14	qa 13	interpret same eqn as damped pend, LRC	4.1	Section 4.1 Problems Query 12	floating cylinder intervals of solution nature of solution	110307
#15	qa 14	2d order eqns anticipating applications, interp	4.2	Section 4.2 Problems Query 13	(largely but not wholly redundant with 12)	10309
#16	qa 16	systems of equations systems and matrices eigenvalue problem	4.3	Section 4.3 Problems Query 14	llin ind solutions Wronskian	110321
#17	qa 17	from 0323; not yet in qa form?		Query 15	fund sets Wronskians	(0323 saved over with physics; locate photos)
#18	qa 18	qualitative rabbits and wolves impossible problem posed (should be fixed) mixing problem	4.4	Section 4.4 Problems Query 16	solns to equations solns as t -> infinity	110328
#19	qa 19	rabbits and wolves, phase plane two-spring system RC, response to sine-wave voltage LRC, response to sine-wave voltage Laplace Transform	4.5, 4.6	Section 4.5, 4.6 Problems Query 17	solve equations solve nonconst coeff given one soln	110330
#20	qa 20	higher order eqn as system mixing problem	4.7	Section 4.7 Problems Query 18	mass on spring spring-dashpot system	110404
#21	qa 21	more Laplace Transforms find fn from transform mixing problem with slight modification	4.8, 4.9	Section 4.8, 4.9 Problems Query 19	undetermined coefficients	110406
#22	qa 22	Abel's Theorem, start Laplace to solve simple 1st order eqn (exp xc Heaviside fn beginning square wave more properties of Laplace transform	4.10	Section 4.10 Problems Query 20	variation of parameters	110411
#23	qa 23	verify Abel's theorem for specific example geometric series and Laplace Transform more Laplace Transforms	4.11	Section 4.11 Problems Query 21	driven systems	110413
#24	qa 24	solve system, use Wronskian Laplace Tranform of periodic function	6.1	Section 6.1 Problems Query 22	properties of matrices matrices and systems of diff eq vector form of system	110418
#25	qa 25	Dirac delta solve system	6.2	Section 6.2 Problems Query 23	intervals of solution system represents what higher-order eqn	110420
#26	qa 26	psi matrix change of basis	6.3	Section 6.3 Problems Query 24	verify Abel's Theorem psi matrix	110425
#27	qa 27	transformation expressed in eigenvector basis	6.4	Section 6.4 Problems Query 25	properties of psi matrix	110427
#28	qa 28	propagator matrix exponential of matrix variation of parameters for systems	6.5, 6.6	Section 6.5, 6.6 Problems Query 26	solve system solve mixing equation	110502
#29	qa 29	summary of psi matrix, propagator, diagonalization	6.7, 6.8	Section 6.7, 6.8 Problems Query 27	solve system to find eigenvalues, eigenvectors find particular solution apply to motion in force field	110504
#30			6.10	Section 6.10 Problems Query 28	diagonalize find algebraic, geometric multiplicity solve systems using above
#31			6.11	Section 6.11 Problems Query 29	propagator matrix functions of a matrix
#32			7.1	Section 7.1 Problems Query 30	find Laplace Transform for given fns using definition
#33			7.2, 7.3	Section 7.2, 7.3 Problems Query 31	using table if needed find Laplace Transform of given fn
#34			7.4	Section 7.4 Problems Query 32	use Laplace Transform to solve given eqn, including periodic fns

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