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- CPSC 124: Introduction to Programming

the week is Section 2 5 Section 3 1 and Section 3 2 We will finish up Chapter 2 by looking at some of the details of expressions and operators from Section 2 5 However there is a lot of detail there and we won t cover everything in class You should read the section carefully and use it as a reference when you need it We then move on to Chapter 3 which is about control structures We start with the while statement and basic if statement Section 3 2 introduces some basic ideas about how to develop algorithms Fourth Week February 11 13 and 15 We will continue talking about control structures this week The main ideas that we will cover are for loops using else if with if statements and using a break statement to end a loop The reading is Chapter 3 Section 3 Section 4 and Section 5 Fifth Week February 18 20 and 22 You should finish reading Chapter 3 There are a number of topics in that chapter that you are not responsible for such as the do while statement switch statement continue statement and any material on enums However that shouldn t stop you from reading about them The main new topic for the week will be exceptions and the try catch statement As an example we will look at how TextIO uses exceptions when you use it to read from a file The idea of using files with TextIO is from Section 2 4 5 so you will want to go back and read that section if you have not already done so Remember that there is a test coming up next Monday February 25 An information sheet about the test is available Sixth Week February 25 and 27 March 1 Posted late After the test on Monday we have moved on to Chapter 4 The reading is Sections 1 and 2 in that chapter We are starting a major new topic subroutines Seventh Week March 4 6 and 8 We will continue with Chapter 4 The reading for the week is Sections 4 3 4 4 and 4 5 We will be covering subroutines parameters the return statement and member variables Eighth Week March 11 13 and 15 We finish Chapter 4 this week with some last words about subroutines and member variables The reading is Section 4 6 and Section 4 7 but we will not do anything with the Mosaic example that takes up much of Section 4 6 I hope to begin Section 5 1 by the end of the week Note that at this point in the course I will mostly abandon the term subroutine and start using the near synonym method instead Next week is Spring Break Have fun and come back on March 25 ready to learn all about objects and object oriented programming Ninth Week March 25 27 and 29 We continue the study of objects and object oriented programming The reading for

Original URL path: http://math.hws.edu/eck/cs124/index_s13.html (2016-02-07)

Open archived version from archive - CPSC 124: Introduction to Programming

by step procedures for carrying out specific tasks We ll talk about how algorithms can be developed and how they can be expressed in Java There will be another quiz next Monday September 19 It will cover Sections 2 5 3 1 and 3 2 Fourth Week September 19 21 and 23 This week we will look at some other control structures The for loop the do while loop and multi way if statements We ll also continue our study of algorithm development The reading for the week is Chapter 3 Sections 3 4 and 5 As usual there will be a quiz next Monday September 26 On the Monday after that there will be a test Fifth Week September 26 28 and 30 As reading for the week you should finish Chapter 3 There are some topics in that chapter that we will not do at all such as anything related to enumerated types There are some things that you should know about but that you will not be forced to use in code such as do while loops the continue statement and switch statements The first test will be given in class next Monday October 3 It will cover Chapters 1 2 and 3 as well as Labs 1 though 4 An information sheet is available and will be handed out in class on Wednesday Sixth Week October 3 5 and 7 There is a test on Monday of this week Next week there is no class on Monday and hence no quiz After the test we will begin Chapter 4 which covers subroutines You should read sections 4 1 4 2 and 4 3 For the lab this Thursday you will write some subroutines but the main point of the lab will be to introduce the Eclipse IDE Seventh Week October 12 and 14 There in no class on Monday this week because of Fall Break Next Monday October 17 we will return to our custom of having a quiz at the beginning of class On Wednesday and Friday we will continue with Chapter 4 Subroutines You should read Sections 4 4 4 5 and 4 6 However we will not get to some of that material until next week There is no new programming exercise for this week s lab You can work on Lab 6 or on Project 2 However there is a new non programming assignment You are to think about ideas for a final project and write short proposals for two of your ideas Eighth Week October 17 19 and 21 We will finish up Chapter 4 this week You should read the rest of that chapter We still have to talk about Section 4 6 and Section 4 7 4 6 covers the use of subroutines and APIs in program development It introduces preconditions and postconditions 4 7 fills in some details about variables including scope named constants and combining initialization with declaration Ninth Week October 24 26 and 28 The reading

Original URL path: http://math.hws.edu/eck/cs124/index_f11.html (2016-02-07)

Open archived version from archive - CPSC 124: Introduction to Programming

6 2 we will skip that section on HTML and applets at least for now Eleventh Week November 9 11 and 13 After the test on Monday we will cover topics from Sections 5 5 5 6 and 5 7 We will not cover everything in these sections and some of the topics that we do cover will be only lightly covered The material in Section 5 5 on subclasses and polymorphism is especially important You will also need to be familiar with interfaces the special variable this and the idea that classes can be nested Less important but still on the agenda are abstract classes the special variable super and possibly anonymous nested classes We will not cover static import or anything about enums Tenth Week November 2 4 and 6 Reminder There is a test coming up next Monday November 9 An information sheet is available We return to Chapter 5 this week to continue the study of objects and classes We will cover Sections 5 3 and 5 4 and we should begin 5 5 on Friday However the material from Section 5 5 will not be on the test on Monday The topic of the week is object oriented programming We will discuss how classes are designed and how they are used We will look at some of Java s standard classes as examples and we will design some classes from scratch By the end of the week we should start talking about class hierarchies inheritance polymorphism and abstract classes I will hand out a new and more complete programming style guide in class this week Ninth Week October 26 28 and 30 We will be taking a short detour from the original schedule of topics for this course this week We will look at the basics of arrays This material is needed for this week s lab and project Since arrays are just a special type of object this material fits in well at this point in the course You should find that working with strings and with the grid in a mosaic has prepared you for array processing The reading for this week can be found in Chapter 7 Sections 7 1 7 2 1 7 5 1 and 7 5 2 At the end of the semester we will return to Chapter 7 to cover some more advanced features of arrays and array processing Reminder There is a test coming up on Monday November 9 Eighth Week October 19 21 and 23 We will be wrapping up Chapter 4 this week and moving on to Chapter 5 The reading is Sections 4 7 5 1 and 5 2 Chapter 5 introduces objects and object oriented programming In the lab this week you will create and use some objects including some objects that represent events in a GUI program It is likely that after we do Sections 5 1 and 5 2 we will take a small detour in the course to cover the

Original URL path: http://math.hws.edu/eck/cs124/index_f09.html (2016-02-07)

Open archived version from archive - CPSC 124: Introduction to Programming

a one hour in class test A review sheet will be available here before the end of classes A review sheet for the final exam is available Thirteenth Week April 17 19 and 21 We will continue studying arrays and their applications this week The reading is Sections 8 4 and 8 5 Since there are so many projects coming due as the end of the term approaches the lab will be used as time for work on those projects You can work on the assignment that is due on Wednesday or if you have finished the assignment already on your final project You can even work on last week s lab if you didn t get it finished You will get some point for turning up for the lab Twelfth Week April 10 12 and 14 We will be continuing with arrays for this week and into next week The reading for the week is Sections 8 2 and 8 3 Don t forget that the second project is due next week and that you should be thinking about the final project and discussing your ideas with me Eleventh Week April 3 5 and 7 We still haven t done much in Chapter 6 we we will spend some time on that on Monday and Wednesday By Friday or before we will start Chapter 8 which covers arrays The new reading for the week is Chapter 8 Section 1 Arrays will be our major topic for the next few weeks Tenth Week March 27 29 and 31 There is a test on Friday of this week A review sheet is available Also the second programming project and information about the final project are also available The reading for this week is Chapter 6 We have already covered much of this material in the labs so we will be going through it rather quickly Any new material in Chapter 6 that is material that was not on the labs will not be on the test Ninth Week March 20 22 and 24 We will continue with Chapter 5 this week You should read Sections 5 2 and 5 3 We will also cover a few topics from the remaining sections of Chapter 5 including at least the following extending existing classes end of Section 5 4 the special variable this from Section 5 5 and interfaces from the beginning of Section 5 6 We have already encountered the idea of a class hierarchy so you should also be familiar with that in a general way We will cover all the details of Chapter 5 later in the course The second test is coming up next week on Friday March 31 Eighth Week March 6 and 8 We still have to finish up a few details from Chapter 4 on Monday However we will quickly be moving on to Chapter 5 on Object Oriented Programming In fact we have already encountered some of the ideas in Chapter 5 from time to

Original URL path: http://math.hws.edu/eck/cs124/index_s06.html (2016-02-07)

Open archived version from archive - MATH 135 - Spring 2016

the steps to the final answers Complete problem 11 in Section 2 9 page 54 Be sure to justify your solution The end of my office hours on Wednesday will be shifted My hours will be 2 00 3 30pm and 4 00 4 30pm Journal Homework for class Thursday February 4 Add the answer to your question in your journal for Tuesday s or plan to come to an office hour if you haven t figured the answer out yet Continue working on the groupwork sheets from Tuesday s class Make sure exercises 11 13 on the first sheet make sense and or write down questions you have about them Also write a proof for problem 2 on the second worksheet and solve problem 3 We will spend a short time on this at the beginning of class and you should come to class with work to share with your group Each group will present something from the worksheet This work need not go in your journal but can stay on the worksheet or in your class notes Reread Sections 2 2 and 2 3 in the text This covers pages 26 44 There is a lot of information here Any new questions Does it make more sense now that we have spent a couple of days on 2 2 in class Recall that Prof belcastro recommends checking out Richard Hammack s book Book of Proof which is free online as a supplement Read in full or at least some of his chapter on Logic Then do the following exercises from his text Section 2 6 numbers 3 and 13 this is on page 51 of his text which is page 19 of the pdf and Section 2 10 numbers 1 2 4 and 8 this is on pages 60 61 of his text which are pages 28 29 of the pdf Put these in your journal Remember to include a question you have about the reading or something else relevant to class in your journal COLLABORATIVE Collected Homework Due Friday February 5 at 3 00pm Remember that although you may discuss this assignment with others your write up should be your own Be sure to note with whom you collaborate if you do Prove Let A B and X be sets If X subseteq A and X subseteq B then X subseteq A cap B Read Example 2 3 5 on page 38 of our text I claim that Prof belcastro makes an assumption in the example that is not proven in the text Prove it That is prove the following theorem bf Theorem Let A B and C be sets Then A cap B cup C A cap B cup A cap C In other words show that intersection distributes over union using an element argument Hint Reread Section 2 2 3 on page 29 of our text Note that there are two parts to a proof that proves two sets are equal much like there are two parts to a proof of a biconditional statement Complete problem 10 in Section 2 9 page 54 Your solution should include truth tables AND an explanation with full sentences describing how the truth table answers the question The explanation need not be long but must be complete WEEK 2 January 25 29 Remember to keep your appointments Note that due to introductory appointments with you all some of my open office hours are shortened this week The open hours for Monday are 1 30 2 30 If you cannot make these times and need to see me please make an appointment Journal Homework for class Tuesday January 26 Review our work in Thursday s class and make any revisions to your journal you think necessary Read Sections 1 5 1 6 in the text This covers pages 14 20 Complete the Check Yourself problems at the end of Section 1 5 page 19 Complete problem 17 in Section 1 7 page 21 On page 18 Prof belcastro introduces existence proofs theorems that I referred to a couple of times in class on Thursday In your journal describe what they are and what makes them different from other proofs theorems Here is an existence theorem There exists an integer whose cube equals its square Try writing a nice proof of this theorem Remember to follow the journal guidelines in the syllabus including highlighting etc Work from the exercises mentioned above a vocabulary list and a question you have about the reading should be in your journal Be sure to leave some space after your question where you can put the answer once you figure out what that is You might be able to answer the question just from our work in class the next time or you might ask the question specifically during class or you might figure out the answer by coming to office hours to ask me INDIVIDUAL Collected Homework Due Tuesday January 26 at 4 00pm Remember that this assignment should be done on your own Of course you are welcome to ask me questions Prove or disprove The sum of three even numbers is even Remember Prof belcastro s first step Prove or disprove The sum of the squares of three consecutive integers is even Remember Prof belcastro s first step Keep your appointments If you haven t met with me and do not yet have an appointment email me ASAP with your schedule If you have met with me and forgot to bring your picture remember to bring one with you to class Journal Homework for class Thursday January 28 Review our work in Tuesday s class and continue working on the group work sheet Be ready to share your work with your groupmates especially on questions 1 4 In fact go directly to your groups when you get to class and start discussing You do not need to put this work in your journal you can keep it in your class notes Be sure

Original URL path: http://math.hws.edu/eking/FirstSteps/math135.html (2016-02-07)

Open archived version from archive - MATH 313 - Spring 2016

above Please be prepared to present it to the class You may speak with me ahead of time about these and you may bring your notes though not your text to the board Collected Assignment Due Friday February 5 by 3 00PM Exercises 1 24 and 1 26 be sure to explain your answer on pages 25 26 in our text Prove or disprove the following statements Assume u and v are vertices in an arbitrary graph G Note that distinct does not necessarily mean disjoint The union of the edge sets of two distinct u v walks must contain a cycle The union of the edge sets of two distinct u v paths must contain a cycle Prove that every graph with n vertices and k edges has at least n k components Notebook Problems A graph is called self complementary if the graph and its complement are the same graph we will learn that this means they are isomorphic Prove that if a graph is self complementary then it has 4k or 4k 1 vertices where k is an integer Without using the theorem you proved for part one find all self complementary graphs on 6 vertices Explain your work There are at least two ways to prove this withOUT the above theorem Can you derive both of them Remember 1 Turn these in on a separate piece of paper from your other homework and 2 notebook problems must be done on your own You may also resubmit the Notebook problem that was due Friday January 29 Remember that you must turn in your first draft with any resubmission Also remember that if you wish to resubmit this problem you must do so no later than Monday February 9th at 4 00pm This is an exception to the usual policy because I would like to give you a sample proof sooner rather than later WEEK 2 January 25 29 Remember to keep your appointments Note that due to introductory appointments with you and my 135 students some of my open office hours are shortened this week The open hours for Monday are 1 30 2 30 If you cannot make these times and need to see me please make an appointment Quiz 1 will be on Tuesday January 26th covering last week s material Sections 1 1 1 2 Reading and Practice Problems for class Tuesday January 26 Finish and review the Walks Trails Paths worksheet from class and make sure that the concepts make sense Jot down any questions you have and bring them to office hours and or class Reread Section 1 2 pages 9 17 in your text focusing especially on the proofs Read Section 1 3 pages 19 25 in your text Remember to keep track of vocabulary and jot down partial or example graphs to help you understand the concepts Ask yourself the kinds of questions I included on the reading guide for section 1 2 Complete the following exercises 1 13 and

Original URL path: http://math.hws.edu/eking/GraphTheory/math313.html (2016-02-07)

Open archived version from archive - MATH 110 - Fall 2014

Check out the cardinality of the points in the square versus the cardinality of points on a line segment Wow Work Mindscapes 3 4 5 6 9 and 20 from Section 3 5 pages 200 203 in your journal Journal Homework for class Thursday November 20 Read through the comments I wrote in your journal Rework any of the Mindscapes for which you did not earn full credit Let me know if you have any questions Continue working on the handout from class Particularly work on coming up with conjectures that sound something like If a graph has this property then it contains a Hamiltonian cycle or If a graph contains a Hamiltonian cycle then it has this property Can you prove or disprove any of your conjectures This is question 6 from the groupwork sheet Be sure to bring your handout with you to class on Thursday Read Section 6 1 in the textbook pages 385 395 Make sure the idea of why we need vertices of even degree to have an Eulerian graph really makes sense Work Mindscapes 1 2 3 8 11 and 19 from Section 6 1 pages 395 398 in your journal Collected Homework Due Friday November 21 3 00PM Remember that your solutions should be typed or neatly written include your class section number in the heading that is are you in Section 1 which meets at 10 20 or Section 2 which meets at 11 55 stapled if more than one page and if you discuss the Mindscapes with anyone else they should be noted Also remember that although you are allowed to discuss these questions with others you should write them up individually Your write ups must be your own work Write up solutions to Mindscapes 7 and 10 at the end of Section 3 5 pages 200 201 The solution for Mindscape 7 should include both a clear diagram and an explanation with full sentences For Mindscape 10 you need only include one brief sentence describing your procedure which should be visualized in a clear diagram Write up solutions to Mindscapes 10 if you need to add edges justify you have used the fewest possible 12 note that just putting arrows on your graph is not clear enough you need to write out the order in which you traverse the edges if you can and 20 this is about Eulerian paths at the end of Section 6 1 pages 397 398 Use theorems and definitions to justify your answers In a previous class a student made the following conjecture If a graph has all vertices of odd degree then it is Hamiltonian Is this true Give a detailed description of your answer If you are having trouble work some examples and give details into your explorations for the answer WEEK 11 November 10 November 14 Exam 2 will be in class on Thursday November 13th covering Sections 2 7 and 3 1 3 4 of the text Remember to bring your journal to be turned in Due to the exam there will be no collected homework due this week Journal Homework for class Tuesday November 11 Catch up on all your journal homework Remember you need to turn in your journal on Thursday at the beginning of the exam Review the journal guidelines in your syllabus to make sure that your journal conforms to these standards Review for the exam read class notes homeworks and the text Read Section 3 4 in the textbook pages 174 185 Work Mindscapes 8 11 14 19 and 22 from Section 3 4 pages 186 188 in your journal Be sure to follow the directions especially for 11 and 14 where you are looking for a set using Cantor s method Prepare for your exam Read the review sheet found here I will only have a few copies of this in class so if you wish to look at it during our review you may want to bring your own copy Bring questions to class And as mentioned above catch up on journal work Preparing for the exam Thursday November 13 Work through the review sheet and practice problems these do not need to go in your journal Review past journal work and reread all comments on past homeworks Remember to bring your journal to the exam to be turned in Don t forget to highlight properly Check out this list for a condensed version of what should be in your journal WEEK 10 November 3 November 7 Due to a doctor s appointment my office hours on Thursday November 6th will be changed to 1 45 2 45 Journal Homework for class Tuesday November 4 Read Section 3 3 in the textbook pages 163 168 REALLY read it This reviews what we have been discussing in the last week Note that the author s version of Cantor s argument is a bit different from what we did in class Be sure you understand it It will help you especially with Mindscape 17 if you do Work Mindscapes 5 11 17 and 20 from Section 3 3 pages 169 171 in your journal Remember Exam 2 is next week Make sure that you are up to date on your journal work This is a great way to review AND get credit for your efforts Use my office hours if you have questions Journal Homework for class Thursday November 6 Review the ideas we were discussing in class especially about Cantor s Power Set Theorem Start reading Section 3 4 in the textbook especially pages 174 178 Work Mindscapes 3 5 6 and 10 from Section 3 4 page 186 in your journal Collected Homework Due Friday November 7 3 00PM Remember that your solutions should be typed or neatly written include your class section number in the heading that is are you in Section 1 which meets at 10 20 or Section 2 which meets at 11 55 stapled if more than one page and if you discuss the Mindscapes with anyone else they should be noted Also remember that although you are allowed to discuss these questions with others you should write them up individually Your write ups must be your own work Write up a solution to Mindscapes 13 and 17 at the end of section 3 2 pages 157 158 Remember that complete solutions include explanations with full sentences Write up solutions to Mindscapes 4 10 and 14 at the end of section 3 3 pages 169 170 Remember that complete solutions include explanations with full sentences Write up solutions to Mindscapes 1 and 4 at the end of section 3 4 pages 185 186 Be sure to briefly explain your work WEEK 9 October 27 October 31 The group Coding Project is due Friday October 31st at 3 00pm Thus there is no collected homework this week Happy Halloween Journal Homework for class Tuesday October 28 Meet with your Project Group Finalize all calculations and make a list of questions you can bring to office hours if there is anything about which you are confused Start writing up introductions and explanations Remember to think about creativity These should be very high quality papers Here is a rubric I will use to grade your projects Be sure to read your notes from last Wednesday s class Let me know if you have any questions on the material Work Mindscapes 3 4 6 9 and 14 from Section 3 2 pages 157 158 in your journal Journal Homework for class Thursday October 30 Read Section 3 2 in the textbook pages 147 156 Welcome to the wild and wonderful world of infinity Work Mindscapes 16 30 31 32 and 36 from Section 3 2 pages 158 160 in your journal WEEK 8 October 20 October 24 Journal Homework for class Tuesday October 21 Read the Project Handout carefully Then meet with your Project Group to make sure you understand how ISBN codes work start the first few exercises and set a schedule for completing the project Read Section 2 7 in the textbook pages 124 133 Work Mindscapes 2 7 13 19 and 24 given what we did in class you should have an intuition of what this last one is but be sure that you prove it from Section 2 7 pages 134 135 in your journal Journal Homework for class Thursday October 23 Read ALL the Project Handouts carefully Then meet with your Project Group to make sure you understand how ISBN codes work finish the exercises in Part I start on PartII and set a schedule for completing the project Figure out who will start writing up which parts Read Section 3 1 in the textbook pages 140 142 Work Mindscapes 4 7 9 10 and 12 from Section 3 1 pages 143 144 in your journal Collected Homework Due Friday October 24 3 00PM Remember that your solutions should be typed or neatly written include your class section number in the heading that is are you in Section 1 which meets at 10 20 or Section 2 which meets at 11 55 stapled if more than one page and if you discuss the Mindscapes with anyone else they should be noted Also remember that although you are allowed to discuss these questions with others you should write them up individually Your write ups must be your own work Write up solutions to Mindscapes 10 use the hint if you need to but explain why it works 18 20 and 22 at the end of Section 2 7 pages 133 134 Be sure to explain your answers carefully Added Tuesday Write up a solution to Mindscape 18 at the end of Section 3 1 page 144 Be sure to explain your answer carefully using sentences WEEK 7 October 15 October 17 Have a great fall break Important You should have done this for LAST Thursday If you have not yet please do so ASAP Emailing your group list is acceptable Your project assignment will be handed out soon You will be working in groups of three on the project Find a group of three agree to work together and turn in a piece of paper with your team members listed one paper per group Bring this with you to class on Thursday October 9 to hand in Journal Homework for class Thursday October 16 Review Section 2 6 in the textbook pages 113 120 Work Mindscapes 16 19 22 and 29 from Section 2 6 pages 121 122 in your journal Some of you do not have your journals in which case you can work these on separate pages that may be stapled or taped neatly into your journal later Collected Homework Due Friday October 17 3 00PM Remember that your solutions should be typed or neatly written include your class section number in the heading that is are you in Section 1 which meets at 10 20 or Section 2 which meets at 11 55 stapled if more than one page and if you discuss the Mindscapes with anyone else they should be noted Also remember that although you are allowed to discuss these questions with others you should write them up individually Your write ups must be your own work Write up solutions to Mindscapes 13 18 and 26 at the end of Section 2 6 pages 121 122 Be sure to explain your answers carefully Hints Use proof by contradiction and the definition of rational For Problem 13 you may assume that you have already proved that the square root of 15 is irrational WEEK 6 October 6 October 10 Exam 1 will be in class on Thursday October 9th covering Chapters 1 and 2 through Section 2 6 of the text Remember to bring your journal to be turned in Important Your project assignment will be handed out soon You will be working in groups of three on the project Find a group of three agree to work together and turn in a piece of paper with your team members listed one paper per group Bring this with you to class on Thursday to hand in Due to our exam there will be no collected homework due this week Journal Homework for class Tuesday October 7 Catch up on all your journal homework There are a bunch of new Mindscapes below but many of them are shorter exercises Remember you need to turn in your journal on Thursday at the beginning of the exam Review the journal guidelines in your syllabus to make sure that your journal conforms to these standards Review for the exam read class notes homeworks and the text Read Section 2 5 in the textbook pages 98 109 Carefully work through the details of how the public key coding scheme works Try to explain it to a friend Read pages 113 118 of Section 2 6 in the textbook Try proving that the square root of five is irrational and prepare to present it at the beginning of class Work Mindscapes 1 2 4 5 7 16 and 17 from Section 2 5 pages 109 111 in your journal Work Mindscapes 2 3 4 6 7 8 11 and 12 from Section 2 6 pages 120 121 in your journal Prepare for your exam Read the review sheet found here Bring questions to class And as mentioned above catch up on journal work Check out this list for a condensed version of what should be in your journal Preparing for the exam Thursday October 9 Work through the review sheet and practice problems these do not need to go in your journal When doing modular arithmetic remember to look for opportunities when Fermat s Little Theorem might be helpful In what situations does it apply Reread Section 2 6 in the textbook including the last two pages pages 113 120 You do not need to put these in your journal but for some extra practice you can work Mindscapes 15 16 17 and 26 from Section 2 6 pages 121 122 WEEK 5 September 29 October 3 Please use office hours whenever you have questions Journal Homework for class Tuesday September 30 Bring something to class that has a UPC symbol on it You probably do this every day already but feel free to get creative Try to bring something that is not food Read Section 2 3 in the textbook pages 68 80 and start reading Section 2 4 pages 86 89 Work Mindscapes 16 and 27 from Section 2 3 pages 81 82 in your journal Work Mindscapes 2 5 7 and 8 from Section 2 4 pages 92 93 in your journal Journal Homework for class Thursday October 2 Read Section 2 4 in the textbook pages 86 92 Review what we discussed in class Work Mindscapes 9 13 16 and 38 from Section 2 4 pages 92 96 in your journal Collected Homework Due Friday October 3 3 00PM Remember that your solutions should be typed or neatly written include your class section number in the heading that is are you in Section 1 which meets at 10 20 or Section 2 which meets at 11 55 stapled if more than one page and if you discuss the Mindscapes with anyone else they should be noted Also remember that although you are allowed to discuss these questions with others you should write them up individually Your write ups must be your own work Write up a solution to Mindscape 28 at the end of section 2 3 page 82 Be sure to explain your answers carefully accompanying your words with examples Write up solutions to Mindscapes 3 and 4 at the end of section 2 4 page 92 Be sure to explain your answers carefully and clearly show each step of your work Write up a solution to Mindscapes 15 note that doing journal homework first might help and 24 at the end of section 2 4 page 91 Be sure to explain your answers carefully BONUS 5 points Suppose you are playing a round of Fibonacci nim with a friend The game begins with 809 sticks You start by removing 55 sticks your friend then takes 100 you take 2 your friend takes 3 you take 2 your friend takes 3 and then you take 6 You realize that you made a mistake Where was your mistake Can your friend win now Why or why not Remember to use the strategy from class or be sure to prove a new strategy you propose will always work A thorough and clear explanation is required for full credit WEEK 4 Please use office hours whenever you have questions Journal Homework for class Tuesday September 23 Thoroughly read pages 68 73 of Section 2 3 in the textbook You might want to take a peek at what is beyond as well Pages 72 73 review the idea behind the proof of the infinitude of primes that we discussed in class on Thursday Work through your class notes and this reading carefully and see if it makes sense Try to explain it to someone else not in the class Write down any questions you have about it so that we can discuss it at the beginning of class on Tuesday Work Mindscapes 1 2 3 8 24 and 35 from Section 2 3 pages 80 83 in your journal Journal Homework for class Thursday September 25 Review our work from class on Tuesday We proved that there are an infinite number of primes Make sure the proof makes sense to you Read pages 68 up to the top of page 79 of Section 2 3 in the textbook Pay special attention to the story of Fermat s Last Theorem on the last two pages A lesson to be learned Have patience Work Mindscapes 11 19 22 and 37 from Section 2 3 pages 81 84 in your journal Collected Homework Due

Original URL path: http://math.hws.edu/eking/Discovering/math110.html (2016-02-07)

Open archived version from archive - MATH 130 - Fall 2013

Exercises Section 4 1 pages 230 231 27 33 47 51 53 64 and 71 It is not necessary for you to complete the graphing calculator portion of these problems Note that these problems include a nice review of things like product rule and logarithmic differentiation Need some extra practice Try these optional problems Section 3 10 page 215 216 21 and 30 Section 4 1 pages 230 231 37 45 and 73 There will be a colloquium on Wednesday November 6th at 4 30pm in Napier 201 Two Computer Science majors are going to talk to us about their summer internship experiences with Apple and Markit Bonus points will be awarded for attendance Homework due Wednesday November 6 at the beginning of class Complete Homework 27 Warm Up Exercises Section 4 2 page 243 14 15 21 24 27 33 and 37 It is not necessary for you to complete the graphing calculator portion of these problems Need some extra practice Try these optional problems Section 4 2 page 243 29 and 35 Homework due Friday November 8 at the beginning of class Complete Week 11 Main Exercises on this handout Remember that this should be your own work and this assignment is graded for correctness as well as completeness Your score is on the A B C D F scale Complete Homework 28 Warm Up Exercises Section 4 2 pages 243 245 39 46 49 51 66 70 and 75 Complete Section 4 3 Reading Assignment on this handout Need some extra practice Try these optional problems Section 4 2 pages 243 245 42 54 55 63 65 67 and 73 WEEK 10 Due to an appointment I have on Wednesday afternoon I will need to change my Wednesday office hours They will be 2 00 3 00 As usual if you cannot make these hours and need to speak with me please make an appointment Homework due Monday October 28 at the beginning of class In class on Friday we worked through a bunch of problems in 3 8 You should be sure the five we put on the board make sense to you as well as the additional problems I asked you to look at These are Section 3 8 page 200 27 33 41 45 47 51 55 and 63 Also check out these Section 3 8 pages 201 202 71 79 and 83 Complete Section 3 10 Reading Assignment on this handout Complete Homework 23 Warm Up Exercises Before completing the warm ups reread Section 3 9 Pay special attention to Example 4 on page 207 to get the idea of why a function and its inverse have derivatives related by reciprocals Then work through Example 5 on page 208 to see how to apply Theorem 3 23 Section 3 9 pages 209 210 12 14 17 20 23 25 31 try applying Theorem 3 23 Section 3 8 page 200 50 There will be a colloquium on Thursday Oct 31th at 4 45pm in Napier 201 about the actuarial career Bonus points will be awarded for attendance Homework due Wednesday October 30 at the beginning of class Complete Homework 24 Warm Up Exercises on this handout Complete Section 4 1 Reading Assignment on this handout Need some extra practice Try these optional problems Section 3 9 page 209 33 37 39 41 and 43 Homework due Friday November 1 at the beginning of class Complete Week 10 Main Exercises on this handout Remember that this should be your own work and this assignment is graded for correctness as well as completeness Your score is on the A B C D F scale Complete Homework 25 Warm Up Exercises Section 3 10 page 215 15 Section 4 1 pages 229 230 10 12 13 16 18 20 22 and 23 Note that there is more than one way to draw the graphs for 20 and 22 As usual it is not necessary for you to complete the graphing calculator portion of these problems Note that I may call on people to present these problems at the beginning of class so be prepared Need some extra practice Try these optional problems Section 3 10 page 215 11 13 and 21 Note that it is expected that you can figure these problems out WEEK 9 Remember that our second exam is Thursday October 24th in lab I will hand out a review sheet in class on Monday The exam will cover sections 2 6 and 3 1 3 7 Remember that labs are due Monday in class One from each group I will roll the die to see which group member will turn in his her paper Be sure you send your lab to class with someone else if there is a reason you cannot be there Homework due Monday October 21 at the beginning of class Week 8 Lab Each lab group will turn in one lab write up see above Complete Section 3 8 Reading Assignment on this handout Complete Homework 21 Warm Up Exercises Section 3 7 page 189 190 5 7 11 13 and 19 When differentiating implicitly to find frac dy dx differentiate terms involving only x as usual when differentiating terms involving y use the chain rule thinking of y as some unknown function of x In Friday s class I asked you to think about the different steps you would do in order to differentiate implicitly Here is one way to organize your approach when finding frac dy dx 1 differentiate both sides of your equation with respect to x 2 collect all terms involving frac dy dx on one side and all terms not involving frac dy dx on the other 3 factor out frac dy dx 4 solve for frac dy dx Homework due Wednesday October 23 at the beginning of class Complete Homework 22 Warm Up Exercises There are eight problems total four from Section 3 7 and four from Section 3 8 They are Section 3 7 page 189 190 29 32 41 and 53 and Section 3 8 page 199 11 13 15 and 19 Complete Section 3 9 Reading Assignment on this handout Work on making sure your questions on all the material we have covered since the last exam are all answered Come to office hours Bring questions to class on Wednesday Need some extra practice Try these optional problems Section 3 7 page 189 24 27 31 and 47 Preparing for lab Thursday October 24 Remember to bring at least one pencil preferably two or more to the exam Read through all my comments on graded work Work through optional problems listed on the website as well as review problems This is a great way to review Here are the final answers for the problems on the review sheet UPDATE There is actually an error in the answer for the last question The numerator should read 25y 3x 3 3xy 2 Sorry about that BREATHE Homework due Friday October 25 at the beginning of class Since your exam is on Thursday I am not going to ask you to turn in anything on Friday but I do still expect to have an active productive and fun class about Sections 3 8 and 3 9 on Friday Re read Section 3 8 Check out the proof of the Power Rule on page 196 Aren t inverse functions valuable If you haven t been doing the Quick Checks highlighted in the margins in the readings start now They are great for checking if you are beginning to understand the concepts as you go The answers to the Quick Checks are at the end of the exercises for that section After you have reread the section try a few exercises like 27 51 55 and 63 on page 200 Again I won t be collecting these but you should attempt them so that you are ready for lively conversation in class WEEK 8 Have a great fall break Remember that labs are due Wednesday in class One from each group Note that there will be no TA hours on Sunday or Monday but there WILL be regular TA hours on Tuesday Homework due Wednesday October 16 at the beginning of class Week 7 Lab Each lab group should turn in one lab write up Complete Homework 19 Warm Up Exercises Section 3 4 pages 161 163 13 55 and 71 and Section 3 6 page 180 13 14 15 25 and 27 The first three problems give us a little more practice with the trigonometric limits and derivatives For Section 3 6 note you do not need to worry about following the directions about Version 1 and Version 2 Choose the approach that works best for you For problems 13 15 DO be sure to identify the inner and outer functions For the remaining exercises you are not required to explicitly identify these Rework your exam Make sure all of it makes sense now Come to office hours to see me to go over your corrections and discuss strategies for a better or even better outcome next time Need some extra practice Try these optional problems Section 3 6 page 180 11 21 22 26 and 28 Homework due Friday October 18 at the beginning of class Complete Week 8 Main Exercises on this handout Remember that this should be your own work and this assignment is graded for correctness as well as completeness Your score is on the A B C D F scale Complete Section 3 7 Reading Assignment on this handout Complete Homework 20 Warm Up Exercises Section 3 6 pages 180 181 30 32 39 41 45 47 51 and 57 Need some extra practice Try these optional problems Section 3 6 pages 180 181 29 31 35 43 49 and 61 WEEK 7 Remember that labs are due Monday in class One from each group Homework due Monday October 7 at the beginning of class Week 6 Lab Each lab group should turn in one lab write up Complete Homework 16 Warm Up Exercises Section 3 2 pages 142 144 18 19 24 25 30 32 36 38a 41 44 47 58 and 67 Shortcuts Make sure you solve these only using the shortcuts from this section power rule constant multiple rule sum rule derivative of e x and your algebra skills Be sure to show some work for these problems and not just the final answers Although there are a few more problems in this assignment than in previous homeworks as you practice many of these should become relatively quick Complete Section 3 3 Reading Assignment on this handout Homework due Wednesday October 9 at the beginning of class Complete Homework 17 Warm Up Exercises Section 3 3 pages 152 153 11 15 19 22 30 52 53 55 and 64 Complete Section 3 4 Reading Assignment on this handout Need some extra practice Try these optional problems Section 3 2 pages 143 145 43 48 50 51 59 and 75 Homework due Friday October 11 at the beginning of class Complete Week 7 Main Exercises on this handout Remember that this assignment is graded for correctness as well as completeness and your score is on the A B C D F scale Complete Section 3 6 Reading Assignment on this handout Complete Homework 18 Warm Up Exercises Section 3 4 page 161 7 9 10 11 21 28 34 37 47 and 53 The first four are working with the new limits in this section Look carefully at Example 1 on pages 156 157 to work on tackling these Since our special limits are in terms of sine and cosine you should make the functions you are taking the limits of in terms of those two functions Remember that we haven t done Section 3 6 yet so you should attempt to work out the derivative questions without using the Chain Rule WEEK 6 Homework due Monday September 30 at the beginning of class Complete Homework 13 Warm Up Exercises Section 2 6 pages 103 106 24 32 34 37 38 48 67 another cool application of the Squeeze Theorem Do you remember what the range of f x arctan x is 85 and 88 Remember that we have lots of theorems about different kinds of functions now To justify that a function is continuous or where a function is continuous utilize these theorems For example polynomials are continuous everywhere by Theorem 2 10 and the sine function is continuous everywhere since its domain is all real numbers and by Theorem 2 14 Thus f x sin 2x 3 15x 11 is continuous everywhere by Theorem 2 11 on the continuity of compositions of functions a What is the Intermediate Value Theorem Write down the statement of the theorem as part of your warm up exercises b Then draw a picture illustrating a function that satisfies the theorem c Lastly draw a function that does not What property is your second function missing Complete Section 3 1 Reading Assignment on this handout Homework due Wednesday October 2 at the beginning of class Complete Homework 14 Warm Up Exercises Section 2 6 pages 104 106 54a 58 As it says in the directions you may should use the new theorem proved in exercise 56 The absolute value function x is continuous for all values of x and 92 Also Section 3 1 page 132 7 10 12 20 and 27 Note that this is a total of eight problems Be careful to include your limit signs in the appropriate places and to follow the directions In Section 3 1 we are using the definition of the derivative Need some extra practice Try these optional problems Section 2 6 pages 104 106 63 87 89 Homework due Friday October 4 at the beginning of class Complete Week 6 Main Exercises on this handout Remember that this assignment is graded for correctness as well as completeness and your score is on the A B C D F scale Complete Section 3 2 Reading Assignment on this handout Complete Homework 15 Warm Up Exercises Section 3 1 pages 132 135 33 37 40 This is an example of a function where you can find the exact values for f x 44 46 51 57 I am especially interested in your thought process for this one so use sentences to describe your approach 66 and 69 For those of you who know shortcuts make sure you are using the definitions here that means limits Need some extra practice Try these optional problems Section 3 2 pages 132 135 41 43 47 49 53 and 65 WEEK 5 Remember that our first exam is Thursday September 26th in lab I will hand out a review sheet in class on Monday The exam will cover sections 1 1 1 4 2 1 2 5 and 2 7 Homework due Monday September 23 at the beginning of class Complete Homework 11 Warm Up Exercises Section 2 5 pages 92 93 11 Apply the Squeeze Theorem It works for limits at infinity as well 17 18 22 24 26 33 37 and 54 Need some extra practice Try these optional problems Section 2 5 page 92 4 5 and 43 Homework due Wednesday September 25 at the beginning of class Complete Homework 12 Warm Up Exercises Section 2 5 pages 92 93 27 28 45 and 52 Complete Section 2 6 Reading Assignment on this handout Work on making sure your questions on all the material we have covered are all answered Come to office hours Bring questions to class on Wednesday Need some extra practice Try these optional problems Section 2 5 page 92 29 39 and 44 Homework due Friday September 27 at the beginning of class Since your exam is on Thursday I am not going to ask you to turn in anything on Friday but I do still expect to have an active productive and fun class about continuity on Friday Re read Section 2 6 If you haven t been doing the Quick Checks highlighted in the margins in the readings start now They are great for checking if you are beginning to understand the concepts as you go The answers to the Quick Checks are at the end of the exercises for that section After you have reread the section try a few exercises like 9 11 13 and 15 on page 103 Again I won t be collecting these but you should attempt them so that you are ready for lively conversation in class WEEK 4 Office hours will now be as announced on the syllabus above etc Please use them Remember that labs are due Monday in class One from each group Homework due Monday September 16 at the beginning of class Lab 3 Each lab group should turn in one lab write up Complete Section 2 4 Reading Assignment on this handout Complete Homework 9 Warm Up Exercises Section 2 3 pages 73 74 7 16 19 29 32 39 42 45 60 and 61 For exercises 21 and 29 be sure to apply only one limit law at a time and explicitly show how you have done so in each step like in Example 2 pages 66 67 and as shown for the limit of the polynomial small p x on page 67 in the text Need some extra practice Try these optional problems Section 2 3 pages 73 75 6 22 44 47 55 77 and 85 Homework due Wednesday September 18 at the beginning of class Complete Homework 10 Warm Up Exercises Section 2 3 page 74 53b and 54b These two problems apply the Squeeze Theorem The bounding functions are already given to you that is you may assume that the inequalities hold that are given at the beginning of the problem and or in part a You need not do part a

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