06 Feb Complete the following
MAT2051 Discrete Mathematics
Unit 5 Assignment 1
Graded Problem Set
Complete the following problems from your text. These problems are chosen to parallel the problems in The Practice Problem Sets study for this unit, so it is recommended to do those first, then post and discuss in the Practice Problem Set Review discussion so you are better prepared for this assignment.
Section 4.1, page 176, problem 5.
Section 4.2, page 183, problems 5, 9.
Section 4.3, page 198, problems 2, 15, 19, 21.
Appendix C, page 625, problems 2, 8.
MAT2051 Discrete Mathematics
Unit 5 Assignment 2
Algorithms and Time Complexity
In algorithm development, the time and space required for algorithm completion is paramount. As users, we know that when a computer process takes too long, we try to avoid it. This truth encourages all IT and computer-based companies to produce faster products and services.
For this assignment, write a one- to two-page paper that includes all required algorithms and pseudocode describing the time and space complexity of algorithms. Include the following:
Answer the following questions:
What is time complexity?
What is space complexity?
Compare and contrast polynomial time algorithms and nondeterministic polynomial (NP) time algorithms (one paragraph minimum).
Provide an example of an algorithm for each worst-case run times:
O( n).
O( nk). Note that this is called polynomial-time, where k is any number greater than 1.
NP-time.
Hint: Quick sort is an algorithm that runs in O( nlog n) time.
Review the Algorithms and Time Complexity Scoring Guide to understand how the assignment will be graded.
MAT2051 Discrete Mathematics
Unit 6 Assignment
Graded Problem Set
Complete the following problems from your text. These problems are chosen to parallel the problems in The Practice Problem Sets study for this unit, so it is recommended to do those first, then post and discuss in the Practice Problem Set Review discussion so you are better prepared for this assignment.
Section 4.4, page 210, problems 6, 12.
Section 7.1, page 335, problems 2, 6, 20.
Section 7.2, page 347, problems 3, 6.
Section 7.3, pages 360–362, problems 3, 43.
MAT2051 Discrete Mathematics
Unit 7 Assignment 1
Graded Problem Set
Complete the following problems from your text. These problems are chosen to parallel the problems in The Practice Problem Sets study for this unit, so it is recommended to do those first, then post and discuss in the Practice Problem Set Review discussion so you are better prepared for this assignment.
Section 8.1, page 382, problems 3, 10.
Section 8.2, pages 392–393, problems 3, 5, 21, 29.
Section 8.3, page 403, problem 5.
Section 8.4, page 410, problems 2, 7.
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