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MTH 221 UOP Course Material - mth221dotcom

MTH 221 is an online course which makes the students to score more marks in the academic year....

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MTH 221 UOP Course Material - mth221dotcom

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  1. MTH 221 UOP Course Material - mth221dotcom

  2. MTH 221 UOP Course Material MTH 221 Entire Course (UOP) MTH 221 Week 1 DQ 1 (UOP) • MTH 221 Week 1 Individual and Team Assignment Selected Textbook Exercises • MTH 221 Week 2 Individual and Team Assignment Selected Textbook Exercises • MTH 221 Week 3 Individual and Team Assignment Selected Textbook Exercises • MTH 221 Week 4 Individual and Team Assignment Selected Textbook Exercises • Consider the problem of how to arrange a group of n people so each person can shake hands with every other person. How might you organize this process

  3. MTH 221 UOP Course Material MTH 221 Week 1 DQ 2 (UOP) MTH 221 Week 1 DQ 3 (UOP) • There is an old joke that goes something like this: “If God is love, love is blind, and Ray Charles is blind, then Ray Charles is God.” Explain, in the terms of first-order logic and predicate calculus, why this reasoning is incorrect. • Relate one of the topics from this week's material to a situation in your professional or personal life and discuss how you would solve the issue with the recently acquired knowledge.

  4. MTH 221 UOP Course Material MTH 221 Week 1 Individual and Team Assignment MTH 221 Week 1 Individual Assignment Selected Textbook Exercises (UOP) • o Exercise 2.1, problems 2, 3, 10, & 13, • o Exercise 2.2, problems 3, 4, & 17 • o Exercise 2.3, problems 1 & 4 • o Exercise 2.4, problems 1, 2, & 6 • o Exercise 2.5, problems 1, 2, & 4 • Exercise 2.1, problem 10; p 54 • o Exercise 2.2, problem 4; p 66 • o Exercise 2.3, problem 4; p 84

  5. MTH 221 UOP Course Material MTH 221 Week 2 DQ 1 (UOP) MTH 221 Week 2 DQ 2 (UOP) • Describe a situation in your professional or personal life when recursion, or at least the principle of recursion, played a role in accomplishing a task • Describe a favorite recreational activity in terms of its iterative components, such as solving a crossword or Sudoku puzzle or playing a game of chess or backgammon. Also, mention any recursive elements that occur.

  6. MTH 221 UOP Course Material MTH 221 Week 2 DQ 3 (UOP) HCS MTH 221 Week 2 DQ 4 (UOP) 475 Week 4 Discussion Question 1 • Using a search engine of your choice, look up the term one-way function. This concept arises in cryptography. Explain this concept in your own words, using the terms learned in Ch. 5 regarding functions and their inverses • A common result in the analysis of sorting algorithms is that for nelements, the best average-case behavior of any sort algorithm—based solely on comparisons—is O(n log n). How might a sort algorithm beat this average-case behavior based on additional prior knowledge

  7. MTH 221 UOP Course Material MTH 221 Week 2 Individual and Team Assignment Selected Textbook Exercises (UOP) MTH 221 Week 2 Individual Assignment Selected Textbook Exercises (UOP) • MTH 221 Week 2 Individual Assignment and Team Selected Textbook Exercises • Mathematics - Discrete Mathematics • Complete12 questions below by choosing at least three from each section. • Complete the 4 questions below and submit on the worksheet provided by Deb. • · Ch. 4 of Discrete and Combinatorial Mathematics • o Exercise 4.1, problems 4; p 208 • o Exercise 4.3, problems 4; p 230 • · Ch. 5 of Discrete and Combinatorial Mathematics

  8. MTH 221 UOP Course Material MTH 221 Week 2 Team Assignment Selected Textbook Exercises (UOP) MTH 221 Week 3 DQ 1 (UOP) • In week 2 we reviewed relations between sets. We will continue that topic this week too. With definitions and examples discuss at least 3 different types of relations. • · Ch. 4 of Discrete and Combinatorial Mathematics • o Exercise 4.1, problem 18; p 209 • o Exercise 4.5, problems 2; p 241 • · Ch. 5 of -Discrete and Combinatorial Mathematics

  9. MTH 221 UOP Course Material MTH 221 Week 3 DQ 2 (UOP) MTH 221 Week 3 DQ 3 (UOP) • Read through section 8.1-8.2 and discuss your findings. • Sections 8.1 and 8.2 illustrate the principle of inclusion and exclusion based on conditions for inclusion. • Read through sections 7.2 and 7.3 for topics on 0-1 matrices, directed graphs and partial orders. Pick any of the topics (definitions and theorems) that was not already covered by your fellow students and present your understanding. Please provide examples as you discuss.

  10. MTH 221 UOP Course Material MTH 221 Week 3 DQ 4 (UOP) MTH 221 Week 3 Individual and Team Assignment Selected Textbook Exercises (UOP) • o Exercise 7.1, problems 5, 6, 9, & 14 • o Exercise 7.2, problems 2, 9, &14 (Develop the algorithm only, not the computer code.) • o Exercise 7.3, problems 1, 6, & 19 • Disucss how the principle of inclusion and exclusion is related to the rules of manipulation and simplification of logic predicates from chapter 2.

  11. MTH 221 UOP Course Material MTH 221 Week 3 Individual Assignment Selected Textbook Exercises (UOP) MTH 221 Week 3 Team Assignment Selected Textbook Exercises (UOP) • Complete the 4 questions below and submit on the worksheet provided by Deb. • · Ch. 7 • o Exercise 7.2, problems 2 &14 (Develop the algorithm only, not the computer code.); pp 354 • Exercise 7.1, problems 6, ; pp 343-344 • o Exercise 7.3, problems 6; p 364 • o Exercise 7.4, problems 2; p 370

  12. MTH 221 UOP Course Material MTH 221 Week 4 DQ 1 (UOP) MTH 221 Week 4 DQ 2 (UOP) • Review sections 11.2-11.4 of the text and discuss topics (that were not already covered by your colleagues) from the section. Don't forget the examples. • Review section 11.1 of the text and discuss here at least 2 topics from the section along with one exercise problem.

  13. MTH 221 UOP Course Material MTH 221 Week 4 DQ 3 (UOP) MTH 221 Week 4 DQ 4 (UOP) • Trees occur in various venues in computer science: decision trees in algorithms, search trees, and so on. In linguistics, one encounters trees as well, typically as parse trees, which are essentially sentence diagrams, such as those you might have had to do in primary school • Random graphs are a fascinating subject of applied and theoretical research. These can be generated with a fixed vertex setV and edges added to the edge set E based on some probability model, such as a coin flip. Speculate on how many connected components

  14. MTH 221 UOP Course Material MTH 221 Week 4 Individual and Team Assignment Selected Textbook Exercises (UOP) MTH 221 Week 5 DQ 1 (UOP) • Week 5 DQ1 • In your own words, discuss examples of at least 3 of the ten laws of Boolean algebra. • MTH 221 Week 4 Individual and Team Assignment Selected Textbook Exercises • Mathematics - Discrete Mathematics • Complete12 questions below by choosing at least four from each section.

  15. MTH 221 UOP Course Material MTH 221 Week 5 DQ 2 (UOP) MTH 221 Week 5 DQ 3 (UOP) • How does the reduction of Boolean expressions to simpler forms resemble the traversal of a tree, from the Week Four material? What sort of Boolean expression would you end up with at the root of the tree? • With an example, discuss the basic concepts of boolean algebra.

  16. MTH 221 UOP Course Material MTH 221 Week 5 Individual and Team Assignment Selected Textbook Exercises (UOP) MTH 221 Week 5 Learning Team Assignment Research Paper & Presentation (UOP) • MTH 221 Week 5 Learning Team Assignment Research Paper & Presentation • Mathematics - Discrete Mathematics • Submit the final Research Presentation. • MTH 221 Week 5 Individual and Team Assignment Selected Textbook Exercises • Mathematics - Discrete Mathematics • Complete 12 questions below.

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