Schedule for Ma241-006 Spring 2006

Homework Schedule

 It is important to both complete and understand the homework. I encourage you to form study groups, however, it is very important that in the end you come to an understanding of the material for yourself. You will most likely find the homework in this course challenging at times, so it is important to begin early and give yourself a chance to talk to others (for example me) before the due date. Note that I have set up a discussion board through wolfware at ma 241-006 homework forum.

It is not enough to find the answer - you must be able to justify each step. Imagine that you are writing the solution for a person who doesn't know calculus. On our tests I will expect you to explain your work since presentation and proper notation are arguably as important as the answer itself. In my lectures I strive to present calculations in a coherent and logical manner and I will expect you to do the same. So, take some time to notice what the notation means and don't just scribble the bare amount to get the answer. It's a bad habit and it will most likely knock a letter grade or two off of your tests. I am always happy to look over your derivations of homework during office hours or at the tutorial center. Additionally, most days (time permitting), I'll answer a question about the homework. I try to give you all the tools you need to do the homework, but it is you who must put those tools to work. Think.

The required homework is posted below. Notice I have indicated which portion of my lecture notes as well as which part of the textbook is most relevant to the assigment. Beware, sometimes the homework is not exactly matched up with the lecture notes link, sometimes you need to look at the next few pages. It would be wise to print out a copy of the lecture notes - you will find them helpful for certain homework problems. It is your responsibility to finish the homework assigned by the due date (before class). Anytime after the due date, any problem is fair game for a quiz (unless otherwise instructed by me).

The homework quizzes will be on the odd problems, unless I explicitly say otherwise.

Section # My Notes Due Date Assignment Description / Hints / Maple helps
Event . Jan. 9 . First day of classes
Sec. 5.3 . Jan 11 1-28, 37-38, 41-44, 55, 57 basic integration
Sec. 5.5 91 & 98-104 Jan 13 1-34, 35-38 (graphs not required), 39-54, 59, 63-66 u-substitution / M.Help
Event . Jan. 16 no lecture Martin Luther King, Jr. Day
Sec. 5.7a 105-106 Jan 17 1-8 integrals of trig functions
Sec. 5.7a 107-111 Jan 20 9-11, 12( due Jan 24 ), 13-14, 1-8 supplemental: click here to download trig substitution
Sec. 5.6 112-115 Jan 23 1-28, 29-32(graphs not required), 37-42, 44a integration by parts (IBP), L.I.A.T.E.
Appdx. G 116-122 Jan 25 1-34, 35-38 partial fractions / what not to do
Sec. 5.7b . Jan 26 17-27, 29-32 more partial fractions / M.Help
Sec. 5.8 . . skip integration tables
Sec. 5.9 123-125 Jan 27 1, 2, 9-10( use Maple ), 17-18, 28, 30, 36 numerical integration and error / M.Help
Sec. 5.10 127-131 Jan 30 1-2, 5-32, 34-35, 49, 54, 57, 61, 62 improper integration / M.Help
Test I . Feb 1 Test I covers 5.3, 5.5, 5.6, 5.7, 5.9, 5.10 integration(75%), 5.9(10%), 5.10(15%)
Sec. 6.1 132-139c Feb 8 1-16, 17, 20, 27-29, 37-38 area bounded by curves
Sec. 6.2 140-146g Feb 13 1-12, 25-30, 39(ignore b, but calc. volume), 46, 52, 54 volume (washers, shells and more)
Sec. 6.3 147-150 Feb 15 1, 5-10, 14, 19, 20, 23, 25, 26(circle becomes a square) arclength
Sec. 6.4 151-153 Feb 17 1-8, 10, 14-16 average of a function
Sec. 6.5 154-165 Feb 23 2, 3, 6, 7, 8, 10, 13, 15, 17, 18(use density = 1000 kg/m^3), 21-26, 30, 32, 34, 35-40 applications to physics
Sec. 6.6 . . skip applications to biology
Sec. 6.7 165b-165c Feb 24 3, 4, 5a, 6 probability (skipped normal distributions)
Test II . Feb 27 covers 6.1, 6.2, 6.3, 6.4, 6.5, 6.7 6.1(20%), 6.2(20%), 6.3(10%), 6.4(10%), 6.5(30%), 6.7(10%)
Sec. 7.1 166 Mar 1 1-5, 9-10, 12 basic concepts for differential equations
Sec. 7.2 167-170 Mar 2 1-2, 9-10 (maple), 21, 23 Euler's method and direction fields / M.Help
Sec. 7.3 171-177 Mar 3 1-16, 23-26, 32, 39, 40, 42 separation of variables
Event . Mar 6-10 no lecture (the holidays) Spring Break
Sec. 7.4 178 Mar 13 8, 12-14 exponential growth and Newton's law of cooling
Sec. 7.5 179-182 . skip population models and logistic growth
Sec. 7.6 . . skip predator-prey models
Sec. 7.7 183-187 Mar 16 1-32 homogeneous 2nd order ODEs / M.Help
Sec. 7.8 188-190k Mar 20 1-10, 13-16, 17a, 18a, 19a, 20a inhomogeneous 2nd order ODEs, no variation of parameters
Sec. 7.9 192-195 Mar 23 1-10, 15 applications of 2nd order ODEs
Test III . Mar 29 covers 7.1, 7.3, 7.4, 7.7, 7.8, 7.9 7.3(30%), 7.4(10%), 7.7(25%), 7.8(25%), 7.9(10%)
Sec. 8.1 196-200 Mar 31 5-6, 9-26, 41-43 sequences, limits of sequence
Sec. 8.2 201-203 Apr 3 1-37, 45, 51-52 series
Sec. 8.3 204-210 Apr 4 2, 5, 6-8, 11-14, 23 p-series and integral test (no comparison)
Sec. 8.4 211-213 Apr 5 1-8, 11-14, 18, 33-35 ratio test and error in alternating series
Sec. 8.5 214-216 Apr 6 3-16 (don't worry about endpoints), 26, 28 power series
Sec. 8.6 217-218 Apr 11 3-11, 13-16, 21, 24-25, 28, 30, 33a power series expansions via geometric series tricks
Event . Apr. 13-14 no lecture Easter Break
Test IV . Apr 21 covers 8.1, 8.2, 8.3, 8.4, 8.5, 8.6 8.1(10%), 8.2(10%), 8.3(10%), 8.4(10%), 8.5(10%), 8.6(50%)
Sec. 8.7 219-226 Apr 25 3-16, 19-26, 33-36, 40, 42, 48-54(easier than they look) Taylor series / M.Help
Sec. 8.8 227-228 Apr 26 1-6, 9, 10a, 14 Binomial series
Sec. 8.9 229-235 Apr 27 3, 7, 11a, 12a, 14a, 15a, 17a, 23-24, 27 Messy Taylor series and applications to physics
Event . Apr. 28 . Last day of classes
Final . May 8
8-11am		 comprehensive, covers everything tested before and sections 8.7, 8.8, 8.9 90% Tests I-IV and 10% material after Test IV











































































Maple Schedule

Listed below are the tentative Maple dates. Please take note of their due dates and plan accordingly. If you plan to do these (they are in some sense optional, see the grading scheme for details) assignments beware that it is common that it will take you several days to sucessfully submit a given assignment.It is your responsibility to work out the technical details before the due date. Do not ask me for an extension, there is enough time to finish these if you start early.

  • Maple [Jan 9] Assignments 0 and 1 (Review & Illustration of Definite Integrals) : Appears Online
  • Maple [Jan 20] Assignments 0 and 1 (Review & Illustration of Definite Integrals) : Due Date
  • Maple [Jan 20] Assignment 2 (Numerical Integration) : Appears Online
  • Maple [Jan 27] Assignment 2 (Numerical Integration) : Due Date
  • Maple [Feb 17] Assignment 3 (Euler's Method and Scalar Equations) : Appears Online
  • Maple [Feb 21] Assignment 4 (Differential Equations) : Appears Online
  • Maple [Feb 27] Assignment 3 (Euler's Method and Scalar Equations) : Due Date
  • Maple [Mar 24] Assignment 4 (Differential Equations) : Due Date
  • Maple [Apr 10] Assignment 5 (Taylor Approximation to Functions) : Appears Online
  • Maple [Apr 28] Assignment 5 (Taylor Approximation to Functions) : Due Date


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    Last Updated: 1-20-06