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- Math 131: Calculus II

other people on the homework but you should write up the solutions on your own in your own words The goal is not just to solve the problem but to present the solution in an organized clear mathematically correct way Your solutions will be graded for presentation and style as well as for correctness In no case will you get any points simply for stating a correct final answer In addition to the homework that I collect I will suggest additional problems for you to work on You should do all these problems and as many more as are necessary for you to master the material Math Department Speakers From time to time the Mathematics Department sponsors talks by various speakers from outside the Colleges As part of the requirements for this course you should attend at least one of the talks Attendance will count for ten percent of your homework grade a small part of your total grade for the course but one that could easily make a difference on your final letter grade Quizzes There will be occasional 10 minute quizzes in class In general they will not be announced in advance but you can expect the first one on Monday January 24 The quizzes are meant to check on your understanding of basic facts The questions will include such things as definitions true false questions and relatively straightforward exercises Some of the exercises will be taken from the labs or homework There will be about ten quizzes over the course of the term There are no make up quizzes but the lowest quiz grade will be dropped Tests There will be three in class tests plus a final exam The tests will be on Friday April 11 Wednesday March 9 and Friday April 15 The final exam will take place during the regularly scheduled exam period on Sunday May 8 in our regular classroom The first test will cover Chapter 4 the second will cover Chapters 5 and 6 and the third will cover Chapter 7 The final exam will be cumulative but will concentrate on Chapter 8 Grading Your grade for the course is based on labs homework quizzes three in class tests and a final exam These count for the following fractions of the grade Labs 1 8 Homework 1 8 Quizzes 1 8 Test 1 1 8 Test 2 1 8 Test 3 1 8 Final exam 2 8 Attendance and other Policies I do not take attendance but I assume that you understand the importance of being in class Note that I will give unannounced quizzes and that there are no make ups for these quizzes I will also collect work in the labs that cannot be made up but again I will drop your lowest lab grade You should make every effort to be present for tests If you are forced to miss a test because of circumstances that I agree are truly beyond your control I will give you a make

Original URL path: http://math.hws.edu/eck/courses/math131_s05.html (2016-02-07)

Open archived version from archive - Mat 131: Calculus II, Spring 2011

suggest additional problems for you to work on You should do all these problems and as many more as are necessary for you to master the material Note that answers to odd numbered problems are in the back of the book Homework will generally be collected on Wednesday of the week following the week when the homework is assigned Assignments will be announced in class and will also be posted on the course web site After collecting the homework I will post my solutions to the collected homework on the web site Labs There is a required lab component for this course In the lab you will work with in a group of three students Your group will work on some problems and will turn in one set of solutions to be graded Everyone in the group will get the same grade for the lab Unless you have a very good excuse you must be present at the lab to get a grade for it Each lab will consist of a few challenging problems There might also be a few warm up problems which won t be turned in The problems are not meant to be straightforward exercises In some cases they will be open ended problems without a single solution For each problem your group should turn in an essay explaining your solution and how you found it In cases where you don t find a solution you should explain what you did to try to solve the problem and you should present any partial results that you obtain There might be a few problems that don t have solutions just to keep you on your toes Problems from one lab will ordinarily be collected at the following lab I will post my solutions to the collected lab problems on the course web site Occasionally I will ask someone in the class to present a solution to one of the lab problems Everyone in your group should be prepared to present the group s solution to any lab problem Tests There will be three in class tests for this course which will be given on Friday February 11 Wednesday March 9 and Monday April 11 You should not miss a test without a very good excuse The final exam for this course will be given at the time scheduled by the Registrar s Office Monday May 9 from 8 30 to 11 30 AM It will be in our regular classroom Note that the exam covers the entire course though with some emphasis on material covered in the last part of the course I reserve the right to adjust your grade downwards if you miss more than one or two classes or labs without a good excuse In my grading scale an A corresponds to 90 100 B to 80 89 C to 65 79 D to 50 64 and F to 0 49 Grades near the endpoints of a range get a plus or minus Math Intern The

Original URL path: http://math.hws.edu/eck/courses/math131_s11.html (2016-02-07)

Open archived version from archive - Math 371 (Topics in Mathematics): Wavelet and Fourier Analysis

about both frequency and time Wavelet and Fourier analysis are big complicated fields that intersect with several areas of advanced mathematics We will cover only parts of these fields and we will do so with only linear algebra and basic calculus as prerequisites The principal textbook for the course is A Primer on Wavelets and Their Scientific Applications by James S Walker This book introduces many of the fundamental ideas about wavelets using very little mathematical background It also offers a pretty clear perspective on many real world applications The plan for the course is that we will work through this book with digressions to cover some additional mathematical background and additional aspects of the theory of wavelets and Fourier analysis I have not planned the course in complete detail but we will begin by reading Chapter 1 from Walker and then spend some time on complex numbers inner products on vector spaces and orthonormal bases Some of the additional readings for the course will be taken from the book Wavelets Made Easy by Yves Nievergelt Assignments and Projects I will assign homework problems from time to time and collect them for grading generally a week after they are assigned In addition to this regular homework there will be two longer projects For each project you will do some research and produce a paper or some other type of work to turn in You will also do a presentation on the project for the class You will select your project topics in consultation with me The first project will probably have to do with the history of signal analysis and will be due before Spring break The second will be on a specific application of wavelets and will be due at the end of the term More information about the

Original URL path: http://math.hws.edu/eck/courses/math371_s06.html (2016-02-07)

Open archived version from archive - Math 375: Abstract Algebra I

theory We will select several of these group theory topics to be covered during the last two weeks of the course Homework Assignments There will be weekly assignments which will be due the following week Most or all of the homework exercises will be taken from the textbook I will assign even numbered exercises since answers to odd numbered exercises are given at the end of the book However you will probably want to do some of the odd numbered exercises for practice I encourage people to work together on homework However everyone is responsible for writing up and turning in their own solutions and for understanding what they turn in Occasionally to ensure that everyone understands the work that they turn in I will set up meetings in my office where students will present some of their homework solutions to me and answer questions about them Since the class is so small it might be a good idea to set up a time when the entire class can meet to work on problems We will discuss this possibility in class Tests and Grading There will be three in class tests and a final exam The tests will be given on Friday September 24 Monday October 25 and Monday November 22 The final exam will be during the scheduled final examination period for this course 1 30 PM on Thursday December 16 It is possible that I will include a take home component in one or more of the tests The final exam will cover material from the entire course with some emphasis on the last two weeks of the course Your grade for the course will be computed as follows First Test 15 Second Test 15 Third Test 15 Final Exam 25 Assignments 30 Attendance I expect you to

Original URL path: http://math.hws.edu/eck/courses/math375_f04.html (2016-02-07)

Open archived version from archive - Math 375: Abstract Algebra I

weekly Most of the homework exercises will be taken from the textbook but I will add a few problems of my own from time to time Your solution to every homework exercise must include a justification for your answer This is obvious for exercises that ask you to show or prove something but it is true for every exercise even for questions that have a yes no answer You will find the answers to many of the textbook s exercises at the back of the book This will not necessarily stop me from assigning these exercises since what I expect from you is a justification not a simple one word answer I encourage people to work together on homework However everyone is responsible for writing up and turning in their own solutions and for understanding what they turn in In addition to the homework that I assign to the entire class I might occasionally assign a problem to an individual for that individual to work on and present in class Tests and Grading There will be three in class tests and a final exam The tests will be given on Monday September 26 Wednesday October 26 and Wednesday November 30 The final exam will be during the scheduled final examination period for this course 1 30 PM on Thursday December 15 It is possible that I will include a take home component in one or more of the tests The final exam will cover material from the entire course with some emphasis on the last two weeks of the course Your grade for the course will be computed as follows First Test 15 Second Test 15 Third Test 15 Final Exam 20 Assignments 35 Attendance I expect you to be present and on time for all classes There might be

Original URL path: http://math.hws.edu/eck/courses/math375_f05.html (2016-02-07)

Open archived version from archive - Math 436: Topology

point set topology This is what we will spend most of our time on this term Towards the end of the course though I would like to spend a little time on algebraic topology which combines ideas from topology and from abstract algebra I would at least like to introduce the basic idea of the fundamental group of a topological space The text for the course if Foundations of Topology by C Wayne Patty I have not developed a definite schedule of readings we will cover as much of the book as time permits Homework There will be weekly homework problem sets Most or all of the problems will be assigned from the text You can talk over the homework problems with other people in the class but you should write up your own solutions I will expect you to turn in homework problems on time Tests There will be two tests Each test will have an in class part and a take home part The in class part will cover definitions statements of theorems short essays and some simple proofs The take home part will be given out in class on the day of the in class part It will consist mostly of more advanced proofs You should not discuss problems on the take home tests with anyone but me The tests are tentatively scheduled for Wednesday April 24 with the take home part due the following Monday and for Wednesday May 29 with the take home part due on Monday May 3 during the officially scheduled final exam period Presentations I will ask each person in the class to do several presentations These might cover sections of the text homework problems or special topics Ideally I would prefer to devote one day a week to this but we

Original URL path: http://math.hws.edu/eck/courses/math436_s96.html (2016-02-07)

Open archived version from archive - Math 448, Complex Analysis, Fall 2014

from time to time I will ask you to present material from the book or solutions of problems I will assign some problems to be collected for grading including both problems from the book and problems that I make up myself All answers will be graded on presentation as well as correctness Most of the problems in the textbook have solutions at the back of the book but the solutions are brief When I assign a problem whose solution is in the book the assignment is to present a detailed clear solution Tests Final Presentation and Grading There will be two tests during regular class periods Each test will have an in class part and a take home part The in class part will consist mainly of definitions statements of theorems computational problems and general ideas There might also be a couple of straightforward proofs on the in class part The take home part will consist of longer problems and proofs The main difference between homework and take home tests is that students can work together on homework but are required to do take home tests on their own The in class parts of the tests are tentatively scheduled for Friday October 17 and Wednesday December 3 We can discuss changes to that schedule In addition to the two tests there will be a final presentation which you will give during the scheduled final exam period on Thursday December 18 at 1 30 PM The presentation will be on some aspect of complex analysis You will choose your topic in consultation with me The topic will probably be something that we have covered in class but should in any case be something that will be accessible to other students I am hoping that I can get one or two other

Original URL path: http://math.hws.edu/eck/courses/math448_f14.html (2016-02-07)

Open archived version from archive - CPSC 100: Principles of Computer Science

teaching responsibilities for a year I decided to write my own textbook for the course As is usually the case with professors who write textbooks I did this because I was not satisfied with existing texts The result is the book The Most Complex Machine A Survey of Computers and Computing which will be published this summer I have taught CPSC 100 twice before using the first eight chapters of this book it is now complete at twelve chapters We will use most of the book in this course omitting two complete chapters and parts of several others You will receive a photocopied preliminary version of the text The cost of reproducing the text is covered by the 25 course fee as noted in the registration booklet for this term Note on fulfilling requirements This course fulfills a distribution requirement in the natural sciences It does not however fulfill the lab requirement in the natural sciences Even though the course has a lab it is not an experimental science lab in the usual sense Computer Labs Every Friday the class will meet in the Macintosh computing lab in the basement of Rosenberg Hall Friday classes will be labs in which students will work with computer programs that I have written to supplement the textbook Each lab is based on a worksheet you will receive a book of worksheets along with the text The worksheet includes exercises to be handed in as homework These exercises are always due on the Wednesday following the lab Many of the exercises ask you to do more than just mechanically follow directions They ask you to think about what you have done reflect on what you have learned and express your thoughts in a short essay type answer You are expected to answer these questions with the same care that you would give to any writing assignment and your answers will be graded accordingly During labs each student will work with a partner When you turn in the homework from the lab you and your partner have two choices Either you can turn in one lab report and both get the same grade or you can turn in separate reports to be graded separately Note It might often happen that you do not have enough time to finish the entire lab during class That s the way it is supposed to be Finishing the lab is homework The Rosenberg lab will be open from 7 00 to 11 00 weeknights and from 1 00 to 5 00 on Saturday and Sunday In addition you can use the Macintosh computing lab in Lansing 312 for out of class work The Lansing computing lab is open daily from 9 00 AM 12 00 noon on weekends to 12 00 midnight You are also free to copy the programs to use on your own computer Quizzes and Tests Every Wednesday starting with April 5 there will be either a fifteen minute quiz or a test The tests will

Original URL path: http://math.hws.edu/eck/courses/cpsc100_s95.html (2016-02-07)

Open archived version from archive