Capella MAT2051 Unit 1 Discussion (dq1+dq2) Latest 2019 October

MAT2051 Discrete Mathematics

Unit 1 Discussion

DQ1 Logic
and Reasoning

Logic and
reasoning play important roles in computer applications, systems management,
database management, and error management. In this discussion, you will examine
logic and deductive reasoning, symbols and definitions, and an application
involving database and error logging.

Deductive
Reasoning, Part 1

Given the
following true logical statement:

If inputs
x1, x2, and x3 are all true, then output y is true.

Write this
statement as a logical statement using the appropriate logic symbols for
conjunction and implication.

Write the
converse and contrapositive of this statement.

Is the
converse true? Explain why or why not.

Is the
contrapositive true? Explain why or why not.

Deductive
Reasoning, Part 2

Assume you
are a systems manager and that you know a server will log an error message if a
database has a retrieval error. With that, complete the following:

Why is it
important for errors to be logged?

What is a
database retrieval error, and what might cause this type of error?

If you
notice that there is an error logged, can you infer that a retrieval error has
occurred without reading the log? Explain why or why not. (Hint: This is a
question about reasoning.)

Prior to
posting your response, review the Discussion Participation Scoring Guide. This
is the recommendation for all discussions in this course.

Response
Guidelines

Read your
peers’ posts and respond to two. Do you agree with your peer’s assessment of
the problem? Explain.

DQ2 Practice
Problem Set Review

The problem
sets are assigned to help you practice solving problems and prepare for the
corresponding quiz and the final exam. As mentioned in the studies, the problem
sets are not graded or collected.

Each unit
you will have an opportunity to discuss the problem sets with your fellow
learners. Use this discussion to ask questions, make comments, ask for help,
and assist your peers with the problem sets. Teamwork is encouraged.

Four posts
are required in this discussion: two initial and two response. Additional posts
are optional and recommended, but not required for your grade:

For the
first post, select a problem from this unit’s problem set, write it out fully,
solve it fully, and post it.

The second
post can be a problem you cannot solve or another fully solved problem from the
problem set. If there is a problem in the assigned problem set that you are
confused about, write it out fully and show any work you have started. Note
that you are stuck and ask for help. If you are able to solve every problem in
the set without difficulty, post at least one other fully solved problem from
the set as your second post.

The third
and fourth posts are response posts. Response guidelines are provided below and
in every discussion.

Take advantage
of this discussion area to work together as a class on the problem set. Post as
many problems as you can and review as many of your peers’ posts as you can.
Ask questions. Offer answers. If you are stuck on a problem, post your
question. Working as a team will help each person gain a better understanding
of the problem set and the concepts covered in this unit.

Response
Guidelines

The third
and fourth posts, the response posts, are your chance to help your peers.
Explore the posts made by your peers and find people who are stuck. Help at
least two peers through the problems they are stuck on. If you are unable to
locate a peer who is stuck, you may instead choose a peer post, write out your
solution to the same problem, and compare solutions and methods. The goal of
this area is for the entire class to work together as a group on the entire
problem set. You are also expected to complete and understand the problem set
on your own in preparation for the quizzes and final exam.