| Date | Materials | HW assignment |
| 12/19 | FINAL EXAM 9:00 am - 11:50 am at NI 203 | |
| 12/12 | Sample Final Exam:
finalExam_CSI35-Fall2018ZyBooks_Sample_.pdf Solutions: finalExam_CSI35-Fall2018ZyBooks_Sample_answers.pdf |
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| 12/10 | Review - Chapter 14 Cheat sheet: ZyBooksFormulasSheet-Trees.pdf, source file: ZyBooksFormulasSheet-Trees.odg CSI35ZyBooksChapter14Review.pdf Answers/Solutions: CSI35ZyBooksChapter14Review_answers.pdf |
no hw assignment |
| 12/05 | Review - Chapter 13 Cheat sheet: ZyBooksFormulasSheet-Graphs.pdf, source file: ZyBooksFormulasSheet-Graphs.odg CSI35ZyBooksChapter13Review.pdf Answers/Solutions: CSI35ZyBooksChapter13Review_answers.pdf |
no hw assignment |
| 12/03 | no meeting, instead: The Bronx Community College is hosting a visit by a team of scientists, post docs and graduate students from Princeton University. LOCATION: NL 136 TIME: 10:20 – 11:30 AM The scheduled discussion's goal is to facilitate collaboration between BCC and Princeton University students and scientists from the Cooperative Institute for Climate Science (CICS) and their partners Atmospheric and Oceanic Sciences Program and NOAA-Geophysical Fluid Dynamics Laboratory at Princeton University. Here is the flyer: Students Invite_Dec 3.pdf |
no hw assignment |
| 11/28 | Review - Chapter 12 Cheat sheet: Chapter12 Formulas Sheet, source file: Chapter12FormulasSheet.odg Chapter12Review (no partitions, no restoration of equiv. relation from partitions, no SQL) Some answers and solutions: CSI35ZyBooksChapter12Review_answers.pdf |
no hw assignment |
| 11/26 | Review - Chapter 11 Cheat sheet: Chapter11Cheat Sheet source file (Libre Office): Chapter11_cheatSheet.odg CSI35ZyBooksChapter11Review.pdf (no strong induction, no structural induction) We worked on questions 1-7, 13, 19, and 20 in class. Here are some answers/solutions to the reest of the questions: CSI35ZyBooksChapter11Review_q8.pdf, CSI35ZyBooksChapter11Review_q10.pdf, CSI35ZyBooksChapter11Review_someAnswers.pdf, CSI35ZyBooksChapter11Review_q9.pdf, CSI35ZyBooksChapter11Review_q17-1.pdf, CSI35ZyBooksChapter11Review_q17-2.pdf |
no hw assignment |
| 11/22-23 | College is closed. Thanksgiving Break. |
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| 11/21 | topic: Chapter 14 Section 14.6 Minimum Spanning Trees lecture slides: ZyBooksCSI35_Ch14-Sect6.pdf practice: ZyBooksCSI35_Ch14-Sect5Practice.pdf |
HW 19: due Tuesday, 11/27 - last HW assignment ZyBooks, HW18: Chapter 14: Sections 14.6/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: page 796 / 23, page 802 / 1, 3, 7, 9 Answers: CSI35_pages 796-802.pdf |
| 11/19 | topic: Chapter 14 Section 14.5 Spanning trees and graph traversals (DFS and BFS) lecture slides: SpanningTrees practice: ZyBooksCSI35_Ch14-Sect5Practice.pdf A short (~2mins) but very nice video of depth first search algorithm application: https://www.youtube.com/watch?v=mE_PCK0oFyo And Breadth-First Search from the same person and using the same graph: https://www.youtube.com/watch?v=YYHeXhfwg3g The next two videos are for the graph that is used in our lecture slides: Depth-First-Search Breadth-First Search |
HW 18: due Saturday, 11/24, by 11:59pm ZyBooks, HW18: Chapter 14: Sections 14.5/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 795-796 / 3, 11(c,d), 16(for #13 only), 17(b). Answers: CSI35_pages 795-796.pdf |
| 11/14 | topics: Chapter 14 Section 14.2 Tree application examples (more examples) Section 14.3 Properties of trees Section 14.4 Tree traversals lecture slides: TreesPropertiesAndTraversals practice: see lecture slides + ZyBooksCSI35_Ch14-Sect4Practice.pdf Here: https://youtu.be/dM6us854Jk0 you can find the video demonstration of the Huffman coding algorithm. One comment though: the way the trees are connected is a little bit different. We put the greatest weight tree as the left child, and the lower as the right, and they do it vice versa. It is not a big dial as long as you stick to one technique. |
HW 17: due Tuesday, 11/20, by 11:59pm ZyBooks, HW17: Chapter 14: Sections 14.3, 14.4/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 755-756 / 19, 20, 27, 29, 36 Answers: CSI35_pages 755-756.pdf pages 783-784 / 8, 11, 14, 16, 18, 22, 24 Answers: CSI35_pages 783-784.pdf |
| 11/12 | topics: Chapter 14 Section 14.1 Introduction to trees Section 14.2 Tree application examples lecture slides: TreesIntro practice: ZyBooksCSI35_Ch14-Sects1-2InClassPractice.pdf |
HW 16: due Saturday, 11/17, by 11:59pm ZyBooks, HW16: Chapter 14: Sections 14.1, 14.2/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 755-756 / 1, 3, 5, 7, 9(b), 11 Answers: CSI35_pages 755-756.pdf pages 769-770 / 1, 3, 11, 19, 21, 23 Answers: CSI35_pages 769-770.pdf |
| 11/07 | topics: Chapter 13 Shortest Paths Problems lecture slides: ShortestPathsProblems practice: ZyBooksCSI35_Ch13-AdditionPractice.pdf Chapter 13 overview (not finished): ZyBooksCSI35_Ch13-Overview.pdf |
Extra practice (not graded, do not submit): Rosen book: page 716-717 / 1, 3, 6, 25 Answers: CSI35_pages716-717.pdf |
| 11/05 | topics: Chapter 13 Section 13.8 Planar graphs Section 13.9 Graph coloring lecture slides: PlanarGraphsColoring (updated on 11/06) practice: ZyBooksCSI35_Ch13-Sects8-9Practice.pdf |
HW 15: due Saturday, 11/10, by 11:59pm ZyBooks, HW15: Chapter 13: Sections 13.8, 13.9/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 733 / 3, 8, 9, 13, 15, 17 Answers: CSI35_pages 733-734.pdf |
| 10/31 | topics: Chapter 13 Section 13.6 Euler circuits and trails Section 13.7 Hamiltonian cycles and paths lecture slides: EulerCircuitsTrailsAndHamiltonianCyclesPaths EulerCircuitsAndPathsInDirectedGraphs Mohammed's scimitars: Rosen_697.pdf Grey Codes: Rosen_702-703.pdf Terminology (ZyBooks -> Rosen): walk -> path circuit -> simple circuit trail -> simple path cycle -> N/A path -> N/A practice: ZyBooksCSI35_Ch13-Sects6-7Practice.pdf |
HW 14: due Tuesday, 11/06, by 11:59pm ZyBooks, HW14: Chapter 13: Sections 13.6, 13.7/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 703 - 704 / 1, 7, 10, 13, 21, 2,. pages 705 - 706 / 32, 33, 34, 40, 47 (a,d), Answers: CSI35_pages703-704.pdf, CSI35_page706.pdf |
| 10/29 | topics: Chapter 13 Section 13.4 Walks, trails, circuits, paths, and cycles Section 13.5 Graph connectivity lecture slides: Connectivity practice: ZyBooksCSI35_Ch13-Sects4-5Practice.pdf |
HW 13: due Saturday, 11/03, by 11:59pm ZyBooks, HW13: Chapter 13: Sections 13.4, 13.5/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 689-691 / 1, 4, 11(a), 21, 23 Answers: CSI35_pages689-690.pdf Suggested reading: Example 3 on page 680 |
| 10/24 | topic: Chapter 13 Section 13.2 Graph representations Section 13.3 Graph isomorphism lecture slides: ZyBooksCSI35_Ch13-Sects2_3.pdf practice: see lecture slides |
HW 12: due Tuesday, 10/30, by 11:59pm ZyBooks, HW12: Chapter 13: Sections 13.2-13.3/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 665-666 / 3, 5, 9, 17, 20 (a,b,d,e,f), 21, 23, 27 pages 675-677 / 1, 3, 7, 9(c), 11, 15, 17, 21, 35, 41, 57 (a,b) Answers: CSI35_HW11_pages 665-666.pdf, CSI35_pages 675-677.pdf Suggested reading: Some Applications of Special Types of Graphs (pages 661-663 in the book). |
| 10/22 | topic: Chapter 13 Section 13.1 Graphs introduction lecture slides: GraphsGraphModelsGraphTerminology Formula/Cheat Sheet: ZyBooksFormulasSheet-Graphs.pdf Practice: ZyBooksCSI35_Ch13-Sect1_Practice.pdf |
HW 11: due Saturday, 10/27, by 11:59pm ZyBooks, HW11: Chapter 13: Section 13.1/ all participation and challenge activities as well as additional exercises Extra practice (not graded, do not submit): Rosen book: pages 650-651 / 3, 5, 7, 11, 13, 33 Solutions: CSI35_pages 650-651.pdf Suggested to look at: Biological Neworks(page 648, Examples 11 and 12) |
| 10/17 | Midterm Exam The exam is closed book, closed notes, but you can use two pages of cheat sheets. will be based on material from Chapters 11 and 12 (Rosen Book: Chapters 5 and 9) The Midterm Grade will be composed of: Hws: 40% Midterm Exam: 60% |
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| 10/15 | Preparation for Midterm Exam Review questions are posted on the Midterm and Final Exam page. You can also find more information about the Midterm Exam there. |
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| 10/10 | topics: Chapter 12 Section 12.9 Equivalence relations Section 12.10 N-ary relations and relational databases Practice: ZyBooksCSI35_Ch12-Sect9_Practice.pdf lecture slides: ZyBooksCSI35_Ch12-Sect9_10.pdf |
HW10: due Monday, 10/15, by 11:59pm ZyBooks, HW7: Chapter 12: Sections 12.9-12.10/ all participation and challenge activities as well as exercises |
| 10/08 | Columbus Day College is closed |
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| 10/03 | topics: Chapter 12 Section 12.7 Partial orders Section 12.8 Strict orders and directed acyclic graphs lecture slides: PartialOrder-StrictOrder-DAGs |
HW9: due Tuesday, 10/09, by 11:59pm ZyBooks, HW7: Chapter 12: Sections 12.7-12.8/ all participation and challenge activities as well as exercises |
| 10/01 | topic: Chapter 12 Section 12.5 Graph powers and the transitive closure, Section 12.6 Matrix multiplication and graph powers lecture slides: GraphPowersMatrices (corrected on 10/02 10:20 pm) in-class practice: will be posted |
HW8: due Saturday, 10/06, by 11:59pm ZyBooks, HW6: Chapter 12: Sections 12.5-12.6/ all participation and challenge activities as well as exercises |
| 09/26 | topics: Chapter 12 Section 12.3 Directed graphs, paths, and cycles Section 12.4 Composition of relations lecture slides: DirectedGraphs_Composition (corrected on 09/26 4:15 pm) |
HW7: due Tuesday, 10/02, by 11:59pm ZyBooks, HW7: Chapter 12: Sections 12.3-12.4/ all participation and challenge activities as well as exercises |
| 09/24 | topic: Chapter 12 Section 12.1 Introduction to binary relations, Section 12.2 Properties of binary relations lecture slides: RelationsIntro |
HW6: due Saturday, 09/29, by 11:59pm ZyBooks, HW6: Chapter 12: Sections 12.1-12.2/ all participation and challenge activities as well as exercises Extra practice (not graded, do not submit): Rosen book: pages 581-582 /1 (a-d), 3, 7 (a, e, f), 18, 27, 35 (a,c,e,g) Solutions: CSI35_HW06_page 581N1.pdf, CSI35_HW06_page 581N3.pdf CSI35_HW06_page 581N7.pdf, CSI35_HW06_page 582N18_27.pdf, CSI35_HW06_page 582N35.pdf Suggested to look at: Examples 5 and 6 on pages 363-364 |
| 09/17 | topic: Chapter 11 Section 11.10 Recursive algorithms Section 11.11 Induction and recursive algorithms the rest of the sections are optional lecture slides:Recursive algorithms practice: recAlgsPractice No classes are scheduled on Tuesday and Wednesday, September 18-19th (Yom Kippur) |
HW5: due Sunday, 09/23, by 11:59 pm ZyBooks, HW5: Chapter 11: Sections 11.10-11.11/ all participation and challenge activities as well as exercises Extra practice (not graded, do not submit): Rosen book: pages 370-371 / 3, 7, 11, 44 Solutions: CSI35_HW05_page370N3.pdf, CSI35_HW05_page370N7_11.pdf CSI35_HW05_page371N44.pdf Suggested to look at (not for grade): Examples 5 and 6 on pages 363-364 |
| 09/12 | topic: Chapter 11 Section 11.7 Loops invariants Section 11.8 Recursive definitions Section 11.9 Structural induction lecture slides:Recursive definitions and structural induction practice: recDefsPractice Greek alphabet letters names: http://www.rapidtables.com/math/symbols/greek_alphabet.htm |
HW4: due Wednesday, 09/19, by 11:59 pm ZyBooks, HW4: Chapter 11: Sections 11.7-11.9/ all participation and challenge activities as well as exercises Extra practice (not graded, do not submit): Rosen book: pages 357-358 / 3 (c), 5(e), 7(c), 13, 25, 27 Solutions: CSI35_HW04_pages357_358N3_5_7.pdf, CSI35_HW04_page358N13.pdf, CSI35_HW04_page358N25.pdf, CSI35_HW04_page358N27.pdf Suggested to look at (not for grade): Ackermann's function: page 359 / 47, 48, 49, 51 |
| 09/10 | no classes (Rosh Hashanah)
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| 09/05 |
Wednesday runs on Monday schedule! topics: Chapter 11 Section 11.5 Mathematical induction (finishing up) Section 11.6 Strong induction and well-ordering (most likely won't cover in class) lecture slides: Mathematical induction and Strong Induction practice: 3-cent and 10-cent stamps Recommended additional resources (proofs): 1) Cardinality of a finite powerset (video) 2) a proof that postage of 12 cents or more can be made with just 4c and 3c stamps (strong induction) 3) winning strategy for game NIM (~20 mins, for fun) |
HW3: due Tuesday, 09/11, by 11:59 pm ZyBooks, HW3: Chapter 11: Sections 11.5 and 11.6/ all participation and challenge activities as well as exercises Extra practice (not graded, do not submit): Rosen book: pages 329-330 / exercises 33, 49, 77, pages 341-342 / exercises 3, 11 Solutions: CSI35_HW03_page330N33.pdf, CSI35_HW03_page331N49-page333N77.pdf, CSI35_HW03_page341N3.pdf, CSI35_HW03_page342N11.pdf |
| 09/03 | College is closed. Labor Day! |
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| 08/29 |
topics: Chapter 11 Section 11.4 Mathematical induction lecture slides:Mathematical induction, Part 1 practice: Practice (Mathematical induction, Part 1) cheat sheet for Chapter 5 (to be completed later): Chapter5 Cheat Sheet Recommended additional resources (video/non-video links): 1) proof of summation 1+2+3+...+n = n(n+1)/2 (video) 2) proof of summation Σni=1 (3i-2)= n(3n-1)/2 3) proof of summation Σni=1 1/(2i-1)(2i+1)= n/(2n+1) 4) justification of geometric sequence partial sum formula (not using induction, worth checking out!) |
HW2: due Tuesday, 09/04, by 11:59 pm ZyBooks, HW2: Chapter 11: Section 11.4 / all participation and challenge activities as well as exercises Extra practice (not graded, do not submit): Rosen book: pages 329-330 / exercises 1, 5, 11, 19, 23 Solutions: CSI35_HW02_page326N1.pdf, CSI35_HW02_page329N5.pdf, CSI35_HW02_page330N11.pdf, CSI35_HW02_page330N19.pdf, CSI35_HW02_page330N23.pdf |
| 08/27 |
Welcome to CSI35! topics: Chapter 11 11.1 Sequences 11.2 Recurrence relations 11.3 Summations lecture slides: Sequences and Summations practice: Practice Video resources from Khan Academy: 1) Sequences (a bunch of short videos and guided practices) note that you don't need to go over all videos, becuase they cover more than we did in class 2) Sigma notation and summations (a bunch of short videos and guided practices) note that it covers more than we did in class 3) geometric sequence sigma notation 4) Partial sums (consider only first two videos and a guided practice that follows them) Announcements: 1) The main book for our class is ZyBooks Discrete Mathematics (online book). The HW assignment will be given in this book. The price is $37. Here are the details on how to subscribe to it: 1. Sign in or create an account at learn.zybooks.com 2. Enter zyBook code: CUNYCSI35NovakFall2018 3. Subscribe (Subscriptions will last until Jan 12, 2019) You can also get the Discrete Mathematics and its Applications, Seventh Edition, by Kenneth H. Rosen, McGraw Hill, 2012 and use is as a suplementary textbook. First chapter of this book is available through e-reserves: http://bcc-libweb.bcc.cuny.edu/electronic-course-reserves/ choose CSI35 from the drop-down menu 2) Math and CS club meets on Thursdays, 12-1:50pm at CP 308 or ME 328 |
HW1: due Sunday, 09/02, by 11:59 pm ZyBooks, HW1: Chapter 11: Sections 11.1 - 11.3 / all participation and challenge activities as well as exercises Extra practice (not graded, do not submit): page1, page2, page3 (pdf files) Solutions: CSI35_HW01_pages1-5.pdf, CSI35_HW01_page6.pdf Suggested guided exercises for practice (not graded, not for submission): 1) arithmetic sequences 2) arithmetic sequences 2 3) geometric sequences 4) geometric sequences 2 5) geometric sequences 3 6) sigma notation 7) summation (arithmetic series) 8) summation (geometric sequence) 9) general summation |