MAT2500 06F homework and daily class log

Your homework will appear here each day as it is assigned, with occasional links to some MAPLE worksheets when helpful to illustrate some points where technology can be useful. [There are 56 class days in the semester, numbered consecutively below and labeled by the (first initial of the) day of the week.] Usually it will be summarized on the white board in class, but if not, it is your responsibility to check it here. You are responsible for any hyperlinked material here as well as requesting any handouts or returned tests or quizzes from classes you missed. Homework is understood to be done by the next class meeting (unless that class is a test).

Textbook technology: Red numbered homework problems have hints on your red TEC CD that comes inside your textbook [open the index.html file with internet explorer, go to homework hints in the Main Menu; if you like to play games, try the appropriate math modules when relevant to a section]. The green Video Skillbuilder CD has detailed video discussed examples from each section of the book as well as a video introduction by the author [click on the Start.html file to get the Main Menu]. There are also tutorials and on-line quizzes and web extras at the textbook website.

W (August 23, 2006): GETTING STARTED STUFF. By Friday, August 25, e-mail me [robert.jantzen@villanova.edu] from your OFFICIAL Villanova e-mail account (which identifies you with your full name) with the subject heading "[MAT2500-XX]", where XX is your section number 03 or 05, telling about your last math courses, your comfort level with graphing calculators and computers and math itself, [for sophomores only] how much experience you have with MAPLE (and Mathcad if appropriate) so far, why you chose your major, etc. Tell me what your previous math course was named (Mat1500 = Calc 1 or Mat1505 = Calc 2).
[In ALL email to me, include the string "mat2500" somewhere in the subject heading if you want me to read it. I filter my email.]

In class:
1) Log on to your computer and open Internet Explorer. (IE allows you to open MAPLE files linked to web pages automatically if MAPLE is already open or if it is available through the Start Menu Program listing under Math Applications, in Netscape you must save the file locally and then open in it MAPLE using the File Open task.)
2) Log on to the Villanova home page in Internet Explorer (click on the upper right "login" icon and use your standard VU email username and password) and check out our My Courses classroom site, and visit the link to my course homepage from it
[ http://www.homepage.villanova.edu/robert.jantzen/courses/mat2705/ ],
3) Open Maple 10 Standard (red not yellow icon) from the Windows Start Menu Program listing under Math Applications
[or click on this maple file link: cmdlist3.mw]
4) bob will quickly show you the computer environment supporting our class.
5) afterclass: log on to MyWebCT and look at the Grade book: you will find all your Quiz, Test and Maple grades here during the semester.
[This is the only part of WebCT we will use this semester.]

After class: check out the on-line links describing aspects of the course (no need yet to look at the MAPLE stuff). Fill out your paper schedule form (get a copy in class to fill out or print it out back-to-back earlier to fill out in advance and bring to your first class already done) to return in class Thursday.
[You can drop by my office St Aug 370 (third floor, Mendel side, by side stairwell) to talk with me about the course if you wish and to see where you can find me in the future when you need to.]

Read computer classroom etiquette.

Handouts:
student schedule sheet sections 05 , 03 (11:30, 12:30) [you can print these double-sided to fill out in advance]

Homework Problems: 12.1: 1, 2, 3, 5 (short list so you can check out our class website and read about the course rules, advice, bob FAQ, etc, respond with your email; freshmen who do not yet have the book: handouts/stewart5e-12-1.pdf). It is important that you read the section in the book from which homework problems have been selected before attempting them. Here is an example of a PDF problem solution: Stewart 12.1.42 [Okay, I cheated and looked at the answer manual to see how to get started. Then I made a nice Maple worksheet of the problem.]
Th: Return your schedule forms at the beginning of class;
REMEMBER DIFFERENT ROOM ON THURSDAYS!
algebra/calc background sheet;
12.1: 11, 13, 15, 19a [hint: show the distance from P₁ to M is the same as from P₂ to M and equal to half the total distance.], 21a, 23, 31, 33, 35;
12.2: 1, 2, 5, 7, 11, 13, 15, 19, 25.
F: don't forget the 1st day email assignment!
handout on course rules, syllabus;
12.2: 29, 31, 33 (tension result given in units of force; vertical component balances downward gravitational force F = mg, g = 9.8 N/kg, where m = 0.8kg), 37.

WEEK 2 [-1]:
M: 12.3: 1, 3, 5, 9, 11, 15, 21 (it is enough to find just one angle), 23, 29;
optional fun problems if you like math: 51 (geometry), 53 (chemical geometry).
W: on sign-up sheet fill out dorm abbreviation and contact telephone number to share with my two classes for learning partnerships;
handout on resolving a vector;
12.3: 35, 42 [ans: b_perp = orth_a b = <-3.6,1.8>], 45.
Th: 12.4: 1, 5, 8, 9, 11 (move u right so initial points coincide), 15, 17, 23 (find 2 edge vectors from mutual corner first), 27, 29, 31, 33 (zero triple scalar product => zero volume => coplanar), 35 (first redo diagram with same initial points for F and r).
> with(Student[LinearAlgebra]):
> <2,1,1>.(<1,-1,2> × <0,-2,3>) [times sign from operators palette, period for dot product]
> <2,1,1>.<2,1,1> then take sqrt (Expressions palette) to get length [example worksheet]
F: Quiz 1 thru 12.3;
it is not very useful to try to draw parametrized curves based on what the graphs of x and y look like: technology is meant for visualizing math!;
10.1: 1, 9, 13, 17, 19, 21, 28 [it does not hurt to use technology if you cannot guess them all]
[textbook example curves][curve tutorial];
try to save these files locally on your c: drive and then open citrix maple and then open them and execute them by hitting the !!! icon on the toolbar.

> plot([t^3-2*t,t^2-t,t=-2..2])
plots the first two expressions for x and y as a parametrized curve in the xy plane
> plot([t^3-2*t,t^2-t],t=-2..2,color=[red,blue])
plots the first two expressions versus t as two graphs, the color option helps distinguish them

WEEK 3 [-2]:

M: Labor Day, no classes

Weeks 3, 4 and 5 (better early than late but NEVER TOO LATE!): come by and find me in my office, tell me how things are going. This is a required visit. Only takes 5 minutes or less.

Read email about homework hints and Java JRE 6 beta download.
W: handout on lines and planes;
never use the symmetric equations of a line: they are useless for all practical purposes!;
quiz 1 answer key published (see also the maple worksheet if you are interested);
12.5: 1 (draw a quick sketch to understand each statement), 3, 5, 9 (parametric only), 13, 16 [ans: a: x=5+2t, y=1-t, z=t, b: (5,1,0), (0,7/2,-5/2),(7,0,1)], 17, 19; 23, 25, 31, 39, 45, 49. [HW for Friday]
Th: Maple lab, read the Maple Tips and Maple FAQ on our home page before coming to class;
bring your laptop if you want to make sure you can access citrix maple on it;
HOMEWORK: play a little bit with Standard Maple, do the "10 minute tour" and then "symbolic and numerical calculations" from the HELP menu, look at the mathematical dictionary link there if you wish. Download the quiz answer key worksheet, execute it and look at how the work was documented and set up. Or you can download and execute input by input the command list files for calc1 and calc2 from the Maple Tips page.
Fall 2006 Citrix Maple Alert.
Opening Maple in Citrix does not always automatically connect to the Kernel (Maple's engine for doing calculations), and if so some of the Help menu options will be inactive (grayed out). By simple typing any number in the input region (worksheet mode) and then the Enter key to evaluate it forces Maple to try to reconnect to the kernel. This make take from 30 seconds to a minute during which the kernel connection warning appears and a time bar shows its progress towards reconnecting. Then Maple should work fine.
F: Quiz 2 on cross-products;
handout on geometry of lines and planes (distances between);
12.5: 53 (also find angle between planes: 78º), 57, 65 (find pt on plane, project the 2 point difference vector along the normal), 67 (find pt on each plane, project their difference vector along the normal---do not just plug into a formula: this is practice in vector projection geometry];
optional problem if extra time and bored with routine problems: 72 [ans: D = 2].

WEEK 4 [-2]: Maple assignments start: note asterisks
M: 13.1: 1, 3, 5, 7, 11, 13, 19-24 (quickly, note technology is not necessary here to distinguish the different formulas), 25, 31* [refer back to similar problem 25: what is z^2-(x^2+y^2)? plot the spacecurve and the surface together as in the template], 35 [eliminate z first by setting: z^2 (cone) = z^2 (plane) and solve for y in terms of x, then use x to express y and then in turn z, finally let x be t], read 41;
12.5.53*: using the answer in the back of the book and the example in the command list file cmdlist3.mw in the section "visualizing lines and planes", plot the two planes and the line of intersection and confirm that visually it looks right. Adjust your plot to be pleasing.
W: check quiz grades in WebCT for correct entry;
paper only class roster info handout for learning partnerships; make sure you turn on your wildcard photo;
notify bob orally in class Friday if you have not been able to identify one or two partners for Maple assignments;
13.2: 1, 2, 3, 7 [recall: exp(3t) = (exp(t))^(3)], 9, 13, 15, 19, 21, 29, 27a (by hand), 27b*.

> with(Student[VectorCalculus]):
> <1,2,-3> × <1,1,1>
5 e_x - 4 e_y - e_z [new notation for unit vectors i, j, k; > BasisFormat(false): returns to column notation]
> F := t → <t, t² , t³> : F(t)
> F '(t)
> ∫ F(t) dt
> with(plots):
> spacecurve(F (t), t=0..1, axes=boxed)
Th: 13.2: 22, 31 [angle between tangent vectors], 35 [use technology to do the integrals, then repeat using u-substitution on each simple integral and compare results], 39, 45, 47 [use cross product differentiation rule 5 on page 859].
F: Quiz 3 thru 13.2 W HW;
13.3: 3 (note the input of the sqrt in the integrand is a perfect square in this problem);
do 7 instead by numerical integration either with your graphing calculator or Maple (right-click on output, choose approximate);
handout on dot and cross products and length, area, volume.

WEEK 5[-2]: don't forget the office visit!
M: 13.3: 11, 13, 21, 23 [do not use formula 11: instead use the parametrized curve form r = <t,t³,0> ], 39 [perfect square!], 41;
> with(Student[VectorCalculus]):
SpaceCurveTutor(<t,t²,0>,t=-1..1) from the Tools Menu, Tutors, Vector Calculus, Space Curves [choose animate osculating circles]
parabola osculating circle zoom.
W: Ask bob about Maple partners!!!!!!!!!!!!
MLRC Problem session 5:30pm;
handouts on geometry of spacecurves and space curve curvature and acceleration; read after the test;
Quiz 3 back with answer key;
HW for Friday:
13.4: 1, 2 [avg velocity = vector displacement / time interval], 5, 11 [recall v = exp(t)+exp(-t) since v² is a perfect square], 17, 17b*[pick an appropriate time interval starting at 0], 31 [note that v² = 3²(1+t²)² is a perfect square], 35 [also perfect square, see 11] .
Th: Test 1 thru 13.2. The archived Test 1 from 05f is a good study aid.
F: No quiz since test week; try to work on Maple HW this weekend;
on-line only: projections revisited just for those who like vector geometry;
13.4: 19 (minimize function when its derivative is zero!);
13.R (p.882):
14a [use parametrized curve r = [t,t^4-t^2,0], evaluate T '(0) before simplifying derivative (i.e., set t = 0 before simplifying the expressions after differentiating) to find N(0) easily, find osc circle: x^2 + (y+1/2)^2 = 1/4], 14b*; edit the template with your hand results including comments and also do the zoom plot];
This is the most interesting one: Problems Plus (p.884): 2. [Note b) has answer 52 ft/sec = 37 mph].

WEEK 6[-2]: maple13.mw is due this week M-F Sep 25-29 [earlier submission means better chance of immediate feedback]
maple14.mw problems begin.
M: 14.1: 1, 3, 7, 9, 11, 13, 19, 25, 29, 31, 35, 43,
51*, just do a single appropriate plot3d and contourplot after loading plots and defining the maple function f(x,y)],
71a (read only b,c; if you are interested to see how the data is fit see example 3);
after finishing the preceding, for fun look at 53-58 and try to first match contour plots with the 3d plots (not all are so easy!) and then think about which formulas might go with which pairs [see plots].
W: 14.2: 1, 2, 5, 7, 11, 15, 17, 21*[toolbar plot option: contour, or "style=patchcontour" or right-click style patch+contour, explain in comment], 23, 27, 35 (does a 3d plot of the expression support your conclusion? before looking at the back of the book obviously).
Th: 14.3: 1, 3, 5, 13, 15, 17, 25, 29, 35, 45 [in class if time: 18, 20, 37, 38].
F: Quiz 4 on 13.3,4; please finish up your maple13.mw this weekend if not already done;
14.3: 41, 43, 47, 49, 53, 57, 59; 65 [just average the adjacent secant line slopes on either side of the point where the partial derivative is to be evaluated, as in the opening example: pdf], 77, 78.

WEEK 7[-2]:
M: 14.4: (tangent planes, linear approximation: plain, fancy; differentiability illustrated): 1, 3, 7, 11, 15, 21.
7*[calculate by hand, then do two plots: first > plot3d( [f(x,y),L(x,y)],x=a...b,y=c..d); (choose appropriate ranges to show a good part of the surface behavior with the plane), then zoom in by choosing a smaller window about the point of tangency as instructed by the textbook, check that they agree, make a comment)],
[optional 9*].
W: 14.4 (differentials): 17, 19; 23, 25, 27 [simpler to first use: ln(A^1/2)=(1/2) ln A (yes!)], 29, 33, 37 [remember partials from 14.3.77].
Th: W: 14.5: 1, 7, 11, 15, 17, 21, 31, 35, 39a, 47;
optional: 51 [use answer only to check work after an honest try: maple, pdf; note this "coordinate transformation" of this second order derivative expression is extremely important for gravitational, electromagnetic, quantum mechanical and heat transfer problems, among many others].
F: Quiz 5 thru 14.4 (explicit and implicit partial diff; linear approximation);
14.5: 43[pdf].

FALL BREAK :-) Enjoy. Be safe in your travels.

WEEK 8[-2]:
M: if you did not take your Quiz 5, today/tomorrow is the day to make it up; see bob in before/after class;
midterm grades due in Wed noon: for Maple upgrades; current midterm grades without quiz 5 are posted in WebCT;
14.6 (thru p.946): 1, 3, 5, 7, 9, 11, 15, 19, 23, 29.
W: handout on derivatives of 2d and 2d functions;
14.6: 27b, 31, 38, 45 (derive equations of plane and line by hand), 47, 53;
45* [plot your results in an appropriate window, i.e., adjust windows of function, plane, line to be compatible, after doing problem by hand];
head start in class with any partner? f(x,y,z) = xy+yz+zx = 3 at (1,1,1) -> tan plane, normal line
Th: 14.7: 1, 3, 5, 7, 13, 15, 17, 19 (do by hand, including second derivative test and evaluation of f at critical points); 19* [template shows how to narrow down your search to find extrema by trial and error, record your tweaked image or images confirming your hand results, include commentary];
optional: if you are interested in the more realistic case of example 4 where numerical root finding is required, read this worksheet.
F: Quiz 6 thru 14.6;
14.7: boundaries, word problems: 27 (or 29), 37 [minimize square of distance], 41, 45 (or 47) [except for different constants these 3 problems are the same!], 52 [use constraint to eliminate r, max resulting function of 2 variables, consider triangular boundary];
read 53 [this explains least squares fitting of lines to data].

WEEK 9[-2]: Maple14.mw due during following week: Wed-Wed
M: 14.R (review problems; note some of the last problems refer to 14.8, which we did not do): some in class if time: 1, 7, 17, , 21, 25, 29, 33, 34a, 39, 53,
14.7: 48 [ans: the height is 2.5 times the square base; obviously cost of materials is not the design factor in this case, no?];
MLRC 5:30 problem session today;
handout on multivariable derivative and differential notation and 2nd derivative test;
W: 5.1: HW for Friday:
15.1: 1, 3 [do by hand first], 3 [after doing this by hand, before next class: repeat this problem using the MAPLE Approximate Integration Tutor with midpoint evaluation for (m,n) = (2,2), then (20,20), then (200,200), comparing it with the exact value given by the Tutor],
5, 6 [midpoint sampling: (m,n)=(2,3), x along 20 ft side, y along 30 ft side: answer = 3600], 7, 9;
15* [note: (m,n) = (1,1), (2,2), (4,4), (8,8), (16,16), (32,32) = (2^p,2^p) for p = 0..5 is what the problem is asking for] .
Th: Test 2 on chapter 14 (If you have problems with this time slot see bob. You can come early if you feel you need more time in general: the room is free before class, I will be there 15 minutes early.)
F: 15.2: 1, 3, 7, 11 [factor the exponential first: exp(2x) exp(-y)], 19, 21, 27, 31*.
Try to meet with Maple partners to complete maple14.mw.
Begin class by opening Maple and entering from palette: ∫₀² ∫₀^π y sin(x y) dy dx .
[upper limits not quite typeset in right position, but you understand]

step by step checking of multiple integration (worksheet):
> x + y
> ∫ % dx
> eval(%,x=b) - eval(%,x=a)
> ∫ % dy
> eval(%,y=d) - eval(%,y=c)
> etc... if triple integral

WEEK 10 [-2]: Maple14.mw due this week
M: 15.3: handout on double integrals;
1, 5, 9, 15, 17, 21, 23; 3 3*, 41, 43, 47, 51.
W: 15.7: 1, 3, 5, 9, 11 [like example 2, but first write eqn of plane (result: x/a +y/b +z/c=1, where a,b,c are intercepts), then solve for z], 19, 25, 29 [see handout setup], 31 [two projections onto coordinate planes are faces of the solid, the third has a border obtained by eliminating y from the two equations given in the figure to describe the condition on x and z for that edge];
use the standard maple expression palette icon for the definite integral to check at least one problem triple integral of your choice, then include in maple15 hw.*
Th: review polar coordinate trig (no paper handout);
handout on polar coordinates and polar coordinate integration;
10.3 pp.669-674 (stop midpage: tangents unnecessary in polar coords), last subsection midpage 676-677:
10.3: 1, 3, 5, 7, 9, 11, 15, 17, 21, 25, 29, 31, 35,
69* [Nephroid of Freeth: starting at 0 how far does theta have to go for the sine to undergo one full cycle? this is the plotting interval];
keep in mind that our most important curves for later use are circles centered at the origin or passing through the origin with a center on one of the coordinate axes, and vertical and horizontal lines, and lines passing through the origin, as in the handout examples.
F: Quiz 7 on multiple integration (not reordering triple integrals, only double integrals);
15.4: (areas but no lengths): 1, 3, 5, 7, 9, 21, 23 [twice the volume under the hemisphere z = sqrt(a²- x²- y²) above the circle x²+ y² ≤ a²], 25 [integrand is difference of z values from cone (below) to sphere (above) expressed in polar coordinates].

WEEK 11[-2]:
M: Recall 15.7.ex3 and re-express in polar coordinates: ∫_r<=2 ∫ ∫_{x^{^2}+z^{^2}}⁴ x²+z² dy dA;
15.4: 17 [at what acute angular values of theta does cos(3 theta) =0? these are the starting and stopping values of theta for one loop],
29, 31, 33 [what is the average depth? (integral of depth divided by area of region)], 34 [ans: a): 2π(1-(1+R) e^-R)], 35;
Optional: Read 36 [this enables one to sum the probability under a normal curve in statistics]
W: 12.7: 1, 2, 3, 5, 9, 15, 19, 21, 23, 27, 31, 33, 37, 39;
3(!) handouts on cylindrical and spherical coordinates and using them to describe regions of space and bounding surfaces.
Th: handout on triple integrals in cyl/sph coords;
12.7: 55, 61;
15.8: 1, 3, 5, 6, 7, 11, 17, 23.
F: Quiz 8 on polar coordinate integration (region of plane with hor/vert line or circular boundary curves, convert Cartesian double integral into polar coordinate version);
15.8: 24 [ans: 8 sqrt(2) Pi/3], 31 [set up integral by hand], 31* (do this for class to check your answer), 33, 35; optional 37*.

WEEK 12[-2]
M: handout on distributions/density/center of stuff;
handout summarizing 2d 3d integration regions in all coordinates;
15.5 (center of mass, centroids p.1014): 5, 7, 11 [see example 3];
15.7: 15 [use cylindrical coordinates about the x axis, i.e., polar coordinates in the yz plane, see example 3];
15.8: 29.
W: 15.5 (probability, recall section 8.5 of calc2 probability theory, read and understand as an application):
23, 25, 26a [P(x<=1000,y<=1000) = .3996], 26b [P(x+y<=1000) = .2642].
Th: 15.R(eview): [PDF if you do not have your textbook in class]
7, 9, 13, 25 (use cylindrical coords with polar coords in yz plane), 27,
31; 37a,b [for b) see page 1028: I_z = ∫∫∫ (x²+y²) dV]; 41, 42 [ans: 64π/9]; 47.
F: Quiz 9 on spherical/cylindrical coordinate integration;
handout on calc3: where we've been, where we will end;
complete Maple15.mw for submission next week this weekend
if you don't want to be overwhelmed the week after Thanksgiving.
[did you vote?]

WEEK 12[-1]: maple15.mw due by midweek after Thanksgiving
M: MLRC problem session for Test 3 on multiple integration, max-min; TODAY! 5:30pm
16.1: 1, 5, 9; 21, 25;
comparison shopping:
11-14: <y,x>, <2x-3y,2x+3y>, <sin x, sin y>, <ln(1+x^2+y^2),.x> ;
15-18, <1,2,3>, <1,2,z>, <x,y,3>, <x,y,z> ;
29-32: xy, x²-y², x²+y², (x²+y²)^1/2;
19*; just try the template, no need to submit [check here for result].

Thanksgiving Recess. watch out for those turkeys!

WEEK 13[-1]:
M: Take home Test 3 out, due back one week Monday evening (Tuesday morning);
get a head start before Wednesday when normal homework resumes.
W: 16.2 (f ds integrals: pp.1062-1065 midpage): 1, 3, 9, 11 [vector eq of line, t=0..1]; 31;
34 [ans: <4.60,0.14,-0.44>, worksheet compares with centroid]
Th: handout on line integrals;
16.2 (F • dr = F • (dr/dt) dt integrals):
7 [ ∫_C <xy,x-y>•<dx,dy>], 17, 19, 21, 23, 25a.
F: quiz on line integrals, NOT!
only a few HW problems to allow you time to finish up test 3:
16.2: 40 [ans: K(1/2-1/sqrt(30)], 41, 45; optional 44.

WEEK 14[-1]:
M: Test 3 due by end of today [which means Tuesday morning] under bob's office door [sign sheet] or in class Monday if done;
handout on potential functions;
16.3: 1, 3, 5, 11 (b: find potential function and take difference, or do straight line segment line integral), 15 (again); 23, 33.
W: 16.4: 1, 2 [ans: -2 π], 17 [do the line integral too], 18 [convert double integral to polar coordinates; ans: 12 π];
the line integral technique for integrating areas of regions of the plane is cute but we just don't have time for it.
Th: handout on divergence and curl, Gauss and Stokes versions of Green's Theorem.
16.5: 1, 5, 9, 11, 12, 15, 17, 31 [but read 35, 36 and look at identities 23-29].
F: handout on interpretation of divergence and curl (2d);
Test 3 answer key out: hand work and maple worksheet, test copy on-line; go over this weekend;
[I am not be able to have the graded Test back to you before the final exam but you may come to my office to go over it if you wish]

optional handout on surface integrals, Gauss and Stokes in 3D (look at summary 16.10 on p.1134); read 16.6-9 if interested when you have some time (Christmas break?).

Week 14:
M: Final Class day;
how big is the moon in the sky?;
CATS evaluation forms;
final exam (weighted as fourth test) on line integrals, potential functions, double integrals and Green's theorem, div, curl and grad, polar, cylindrical and spherical coords;
upgrade any maple worksheets you wish full credit on by end of exam period;
MLRC 5:30 problem session today.

Final exam on Thursday of this same week:
FINAL EXAM:
11:30MWF/1:30R Mendel G90 class: 2500-05 Thu, Dec 14 10:45 - 1:15
12:30MWF/12:00R Mendel G90 class: 2500-03 Thu, Dec 14 1:30 - 4:00

Weeks 3, 4 and 5 (NEVER TOO LATE!): come by and find me in my office, tell me how things are going. This is a required visit. Only takes 5 minutes or less. [Well, now it IS too late, learn to take advantage of your professors' time in the future.]

Current MAPLE file :
maple13.mws due: M-F Sep 25-29
maple14.mws due: W-W Oct 25-Nov 1 .
maple15..mws due: extended week M-W Nov 20-29.

*MAPLE homework log and instructions [asterisk "*" marked homework problems]

Test 1: Week 5: Th Sept 21; MLRC 5:30 problem session W Sept 20.
Test 2: Week 9: Th Oct 27; MLRC 5:30 problem session M Sept 23.
Test 3: Take home out ; in ; MLRC problem session

FINAL EXAM:
     11:30MWF/1:30R Mendel G90 class: 2500-05 Thu, Dec 14 10:45 - 1:15
     12:30MWF/12:00R Mendel G90 class: 2500-03 Thu, Dec 14 1:30 - 4:00

                          Graphing Calculator / Maple Checking ALLOWED FOR ALL QUIZZES/EXAMS

11-dec-2006 [course homepage] [log from last time taught, with .mws worksheet links]