Schedule for Ma241-003 Summer 2007

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 241-003 homework forum. You may also email me reasonable questions.

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. 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 based on a required homework problem, unless I explicitly say otherwise.

Section # My Notes Due Date Assignment Description / Hints / Maple helps
Event . July 2 . First day of classes
Sec. 5.3 . July 3 1-28, 37-38, 41-44, 55, 57 basic integration
Sec. 5.5 91 & 98-104 July 3 1-34, 35-38 (graphs not required), 39-54, 59, 63-66 u-substitution / M.Help
Sec. 5.7a 105-106 July 3 1-8 integrals of trig functions
Sec. 5.7a 107-111 July 3 9-11, 12( due Jan 24 ), 13-14, 1-8 supplemental: click here to download trig substitution
Event . July 4 no lecture Independence Day
Sec. 5.6 112-115 July 5 1-28, 29-32(graphs not required), 37-42, 44a integration by parts (IBP), L.I.A.T.E.
Appdx. G 116-122 July 6 1-34, 35-38 partial fractions / what not to do
Sec. 5.7b . July 6 17-27, 29-32 more partial fractions / M.Help
Sec. 5.8 . . skip integration tables
Sec. 5.9 123-125 skip 1, 2, 9-10( use Maple ), 17-18, 28, 30, 36 (saw already in ma 141 and have Maple on this) numerical integration and error / M.Help
Sec. 5.10 127-131 July 6 1-2, 5-32, 34-35, 49, 54, 57, 61, 62 improper integration / M.Help
Test I . July 9 Test I covers 5.3, 5.5, 5.6, 5.7, 5.10 integration(75%), 5.10(25%)
Sec. 6.1 132-139c July 11 1-16, 17, 20, 27-29, 37-38 area bounded by curves
Sec. 6.2 140-146g July 11 1-12, 25-30, 39(ignore b, but calc. volume), 46, 52, 54 volume (washers, shells and more)
Sec. 6.3 147-150 July 11 1, 5-10, 14, 19, 20, 23, 25, 26(circle becomes a square) arclength
Sec. 6.4 151-153 July 11 1-8, 10, 14-16 average of a function
Sec. 6.5 154-165 July 13 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 July 13 3, 4, 5a, 6 probability (skipped normal distributions)
Test II . July 16 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 July 18 1-5, 9-10, 12 basic concepts for differential equations
Sec. 7.2 167-170 July 18 1-2, 9-10 (maple), 21, 23 Euler's method and direction fields / M.Help
Sec. 7.3 171-177 July 18 1-16, 23-26, 32, 39, 40, 42 separation of variables
Sec. 7.3+ 177a-177d July 18 7.3+#'s 5-20,27,35 integrating factor method
Sec. 7.4 178 July 18 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 July 19 1-32 homogeneous 2nd order ODEs / M.Help
Sec. 7.8 188-190k July 20 1-10, 13-16, 17a, 18a, 19a, 20a inhomogeneous 2nd order ODEs, including variation of parameters
Sec. 7.9 192-195 July 20 1-10, 15 applications of 2nd order ODEs
Test III . July 23 covers 7.1, 7.3,7.3+, 7.4, 7.7, 7.8, 7.9 7.3(20%),7.3+(10%), 7.4(10%), 7.7(25%), 7.8(25%), 7.9(10%)
Sec. 8.1 196-200 July 25 5-6, 9-26, 41-43 sequences, limits of sequence
Sec. 8.2 201-203 July 25 1-37, 45, 51-52 series
Sec. 8.3 204-210 July 25 2, 5, 6-8, 11-14, 23 p-series, integral, and comparison test
Sec. 8.4 211-213 July 25 1-8, 11-14, 18, 33-35 ratio test and error in alternating series
Sec. 8.5 214-216 July 26 3-16 (don't worry about endpoints), 26, 28 power series
Sec. 8.6 217-218 July 27 3-11, 13-16, 21, 24-25, 28, 30, 33a power series expansions via geometric series tricks
Test IV . July 30 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 Aug. 2 3-16, 19-26, 33-36, 40, 42, 48-54(easier than they look) Taylor series / M.Help
Sec. 8.8 227-228 Aug. 2 1-6, 9, 10a, 14 Binomial series
Sec. 8.9 229-235 Aug. 3 3, 7, 11a, 12a, 14a, 15a, 17a, 23-24, 27 Messy Taylor series and applications to physics
Event . Aug. 3 . Last day of classes
Final . Aug. 7
8-11am
comprehensive, covers everything tested before and sections 8.7, 8.8, 8.9 85% Tests I-IV and 15% material after Test IV













































































Maple Schedule

Listed below are the tentative Maple dates. Please take note of their due dates and plan accordingly. 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. In the summer the schedule is pretty simple, the assignment appears on Monday and it is due on Friday. You can go to the Maple webpage at NCSU and look for "Maple help and FAQ", it will tell you about when the optional Maple help sessions meet as well as the schedule of the Maple tutor in Ha 244 ( the Math Learning Center ). You can ask me questions as well if they are about math, if they are about syntax and/or Maple I'm not likely to be of much use to you.

  • Maple [July 2] Assignments 0 and 1 (Review & Illustration of Definite Integrals) : Appears Online
  • Maple [July 6] Assignments 0 and 1 (Review & Illustration of Definite Integrals) : Due Date
  • Maple [July 9] Assignment 2 (Numerical Integration) : Appears Online
  • Maple [July 13] Assignment 2 (Numerical Integration) : Due Date
  • Maple [July 16] Assignment 3 (Euler's Method and Scalar Equations) : Appears Online
  • Maple [July 20] Assignment 3 (Euler's Method and Scalar Equations) : Due Date
  • Maple [July 23] Assignment 4 (Differential Equations) : Appears Online
  • Maple [July 27] Assignment 4 (Differential Equations) : Due Date
  • Maple [July 30] Assignment 5 (Taylor Approximation to Functions) : Appears Online
  • Maple [August 3] Assignment 5 (Taylor Approximation to Functions) : Due Date


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    Last Updated: 7-1-06