Homework: Fall 2008, Math 241  (Finotti)

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General Guidelines

**On homework quizzes and exams, solutions need to be well written
and explained in order to obtain credit, answers only are not accepted.

**The purpose of the homework sets are for you to work through the understanding of the material and see what it is you do and do not understand so that you can fine tune your understanding from there -- please keep this viewpoint in mind when working through problems.

**Educational research shows that studying and learning in peer groups often leads to better comprehension of the material.  Get to know your classmates and form study groups.

**The other side of the coin is that just as beneficial to your learning is time spent grappling with the material alone.  Always do your final homework writeups on your own, and feel free to reach for help when you need it.  This helps you to know what it is that you really do or don't understand

**If you are suspected of plagerism (think solution manual), you will
get a zero for the homework set, and will be reported to University authorities.

*Please look at the following interesting graph of
material retention vs. time lapse from first exposure until review (retention curve) and the subsequent tips for textbook reading

Keep this in mind when writing up your homework solutions -- it IS as important for learning math to practice explaining your solutions as it is finding them!  Mathematics is a language.

 Homework Set # Done by Date Homework Assigment 1 8/26 (Tues) 9.1:  2,3,5,8(a,b,d),10,11,13,21,25,30,31 9.2:  1,2,4,6,9,13,17,19,23 2 8/28 (thurs) 9.3:  1(a-c),3,5,7,12,16,18,24,25,28,31,33 9.4:  1(a-c),4,5,8,12,16,17,33 Answers to Evens 3 9/2 (tues) 9.5:  3,14,15,16,22,23,27,30,40 9/4 (thurs) 9.6:  1,2,6,9,14,15,17,18,23,24 11.1:  1,6,7,10,15,17,19,23,25,31-36 Answers to Evens Answers to Evens 4 9/11 (thurs) 11.1: 37,39 11.2:  1,2,4,5,7,11,13,25,27,31 11.3:1,3(a,b only),5,8,9(do hand drawn),13-33 every other odd, 35,37,39,49,51,53,54,63,66(a-b),70 Answers to Evens 5 9/16 (tues) 11.4:  1,3,9,11,13,15,16,17 11.5:  3,7,9,18,21,29,31,33,35,37,39 Answers to Evens Answers to Evens 6 9/18 (thurs) 11.6: 1,3,5,7,9,11,15,19,21,23,26,30,32,37a,41 Answers to Evens 7 9/23 (tues) 11.7:  1,4,5,9,11,15, 25,27,33,35,37,39,44,45 Answers to Evens Exam 1 9/25 (thurs) Problems for 11.8: 11.8:  1,3,7,9,13,15,18,19,23,25,29,36,38 Answers to Evens Exam 1 Suggested Review Problems - (choose those that focus on areas where you are still unsure! These problems will not be considered obligatory...they are just more problems for you to get practice with if you want/need it) Chapter 9 Review (pg):   2,3,4,5,6,11,12,15,17,18,19,20,22,24,25,27,29,30,31,33,34,35,37,39,40,41,42,44 Answers to Evens Chapter 11:  (Exercises Pg 823) 1,3,4,5,7,9,10,11,12,13,15,17,19,21,23,25,27,31,33,34,35,37,40,43,45,47,49,51,53,55,56,59,61,63,64 I highly highly recommend doing the "Concept Check" on page 822.  Outlining the chapter like this is a great way to start your exam reviewing.  It encourages you to write down all the important concepts and formulas in one place before you start doing problems, which will help put the framework in your mind in a more orderly way. Answers to Evens 8 10/7 (Tues) 12.1:  1,3,6,9,11,14,17,18 12.2:  1,2,5,7,9,11,12,13,19(include explanation!),23,31 12.3:  1,5,7,11,15,17,21,23,33,35,37,39,41,43,50,53 Answers to Evens 9 10/14 (Tues) 12.4: 1,5,6,9,11,13,15,18,19,25,27,29,30 12.5:  1,5,7,11,15,18 Answers to Evens 10 10/23 (thurs) 12.7:  1,2,5,7,9,11,13,17,19,25,26,31,35,37,38,39,47 9.7:  3,5,7,9,13,14,21,23,27,31,32 12.8:  1,3,5,7,9,11,17,21,22,26,31,33  Answers to Evens Answers to Evens 11 10/30 (Thurs) 10.1:  2,5,7,10,15,17-22,23,24,25,38 10.2:  2,3,7,11,15,19,21,25,27,46 10.4:  1,6,8,13,14,17,20,23 Answers to Evens 12 11/4 (tues**) 10.5:  1,3,11-16,17,19,21,23  12.6:  1,3,5,9,11,23 Exam 2 11/6    (thurs) Chapter 12: Concept Check(page 898): 1-9, True-False:(pg 899) #2 (!!! this is an important one!!) Exercises:(pg899-901)1,2,3,5,7,9,10,11,12,13,14,15,19,21,23,25,27,28, 29,31,35 (no radii of gyration),38a,39, 41,42,47 Answers to Evens Suggested Review Problems - (choose those that focus on areas where you are still unsure! These problems will not be considered obligatory...they are just more problems for you to get practice with if you want/need it) Chapter 10 Review (pg): 1,2,3,5,6ab,9,11a,16,17,18,19,21 Answers to Evens 13 11/18 (Tues) 13.1:  3,5,9,11-14,15-18,23,25,29-32,35 13.2:  3,7,5,6,9,11,13,15,17,26(a), 28,35,37,42 13.3:  1,11,13,15,17 Answers to Evens Answers to Evens 14 11/25 (Tues) 13.3:  3,6,7,9,19,23,24,27,29-32,33 13.4:   1,3,4,7,9,11,13,15,19,21,27 Answers to Evens 15 12/2 (Tues) 13.5:  1,3,5,7,8,9,10(a-h),11,13,15,17,19,21-24,31 13.6:  1,3,5,11,17,19,21,23 Answers to Evens (8,10) Answers to 13.5 Problems 22/24,24/28,28 Answers to Evens Final Review See Homepage for Final Exam Date for your Section 13.6: 39,40,41 13.7:  1,3,5,7,9, 11(a), 13,17,19 13.8:  3,5,7,11,13, 17,19,20,23,25,27 Answers to Evens Answers to Evens: 13.8 - #20 (a)  p1 is a source (net outflow of F near p1 is positive for any small loop about p1), p2 is a sink (because net outflow of F near p2 is negative for any small loop about p2).  (b) div(F) = 1+2y, so since p1 has y coordinate positive, div(F) at p1 is greater than zero and there is a source at p1.   for p2, the y coordinate is negative and looks to be less than -1, so div(F) at p2 is negative and there is a sink at p2. Chapter 13:  1a,3,4,5,7,9,10,11,12,13,14,36 Answers to Evens: 4 - zero 10- (a) .5*(3*pi -9);  (b) -3*pi/4 12 - a potential for F is f(x,y,z) = x*sin(y) + cos(z) + K Chapter 13:  1,15,17,18,19,21,23,25,26,27,28,29,30,31,32,33,34,37