MTH 221 Discrete Math for IT

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SYLLABUS

MTH/221 Discrete Math for

Information Technology

 

 

Week1

Sep, 22 - Sep, 28

Combinatorics

 

Tasks

• Attendance Policy for Weekly Connect Exercises

Objectives/Competencies

1.1Apply basic enumeration techniques.

1.2Apply basic permutation and combination techniques.

1.3Apply introductory probability techniques.

Required Learning Activities

• Watch the Week One Videos.

Support Material

Week One Videos

Read Sections 6.1 and 6.3-6.5 in Ch. 6 of Discrete Mathematics and its Applications.

Read Sections 7.1 in Ch. 7 of Discrete and its Applications.

Set up Connect software - Students

Support Material

How to Setup Connect - Students

See the student website for additional recommended learning activities that may help you learn this week's concepts.

Assignments

Title

Type

 

Due

 

Points

 

 

 

 

 

 

Participation

Individual

 

Sep 28, 2015 11:59 PM

 

40

Instructions:

 

 

 

 

 

 

 

Participate in class discussion.

 

 

 

 

 

 

Individual

 

Sep 28, 2015 11:59 PM

 

130

Complete the Week One Connect Exercises.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Week2

Sep, 29 - Oct, 05

Logic & Set Theory; Boolean Algebra; Relations & Functions

 

Objectives/Competencies

2.1Use truth tables for propositional logic.

2.2Simplify assertions and compound statements in first-order logic.

2.3Apply basic set-theoretic concepts.

2.4Use a Venn Diagram to visualize set relationships.

2.5Differentiate between relations and functions.

2.6Apply the basic concepts of Boolean algebra.

Required Learning Activities

• Watch the Week Two Videos.

Support Material

Week Two Videos

Read Sections 1.1-1.3 in Ch. 1 of Discrete Mathematics and its Applications.

Read Sections 2.1–2.3 in Ch. 2 of Discrete Mathematics and its Applications.

Read Section 9.1 in Ch. 9 of Discrete Mathematics and its Applications.

Read Sections 12.1–12.3 in Ch. 12 of Discrete Mathematics and its Applications.

See the student website for additional recommended learning activities that may help you learn this week's concepts.

Assignments

Title

Type

 

Due

 

Points

 

 

 

 

 

 

Participation

Individual

 

Oct 05, 2015 11:59 PM

 

40

Instructions:Participatein class discussion.

 

 

 

 

 

 

 

 

Individual

 

Oct 05, 2015 11:59 PM

 

130

Complete the Week Two Connect Exercises.

 

 

 

 

 

 

 

 

     

Required Learning Activities

• Watch the Week Three Videos.

Support Material

Week Three Videos

Read Ch. 3 of Discrete Mathematics and its Applications.

Read Section 5.1 in Ch. 5 of Discrete Mathematics and its Applications.

Read the Introduction and Recursively Defined Function in Section 5.3 in Ch. 5 of Discrete Mathematics and its Applications.

Read Section 5.4 in Ch. 5 of Discrete Mathematics and its Applications.

See the student website for additional recommended learning activities that may help you learn this week's concepts.

Assignments

Title

Type

 

Due

 

Points

 

 

 

 

 

 

Participation

Individual

 

Oct 12, 2015 11:59 PM

 

40

Instructions:Participate in class discussion.

 

 

 

 

 

 

 

 

Individual

 

Oct 12, 2015 11:59 PM

 

130

Complete the Week Three Connect Exercises.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Week4

Oct, 13 - Oct, 19

Graph Theory and Trees

 

Objectives/Competencies

4.1Apply properties of general graphs.

4.2Apply properties of trees.

Required Learning Activities

Read Sections 10.1–10.6 in Ch. 10 of Discrete Mathematics and its Applications.

Read Sections 11.1–11.3 in Ch. 11 of Discrete Mathematics and its Applications.

Watch the Week Four Videos.

Support Material

Week Four Videos

See the student website for additional recommended learning activities that may help you learn this week's concepts.

Assignments

Title

Type

 

Due

 

Points

 

 

 

 

 

 

 

 

Participation

Individual

 

Oct 19, 2015 11:59 PM

 

40

 

Instructions:Participate in class discussion.

 

 

 

 

 

 

 

 

 

 

Individual

 

Oct 19, 2015 11:59 PM

 

130

 

Complete the Week Four Connect Exercises.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Week5

Oct, 20 - Oct, 26

Applications of Discrete Mathematics

 

Objectives/Competencies

 

5.1 Use discrete mathematics to analyze application problems.

 

Required Learning Activities

• Read Food Webs, Coding Theory, and Network Flows Case Studies.

Support Material

Food Webs Case Study

Coding Theory Case Study

Network Flows Case Study

See the student website for additional recommended learning activities that may help you learn this week's concepts.

Assignments

 

Title

Type

Due

Points

 

 

 

 

 

 

Participation

Individual

Oct 26, 2015 11:59 PM

40

 

Instructions:Participate in class discussion.

 

 

 

 

 

 

 

 

 

 

Case Study Application Paper

Individual Oct 26, 2015 11:59 PM 140

 

Instructions:

 

 

 

Choose one of the following Case Studies:

 

 

• Food Webs

 

 

• Coding Theory

 

 

• Network Flows

 

 

Write a 750- to 1,250-word paper in which you complete one of the

 

 

following options:

 

Option 1: Food Webs Case Study

Explain the theory in your own words based on the case study and suggested readings.

Include the following in your explanation:

Competition

Food Webs

Boxicity

Trophic Status

Give an example of how this could be applied in other real-worldapplications.

Format your paper according to APA guidelines. All work must be properly cited and referenced.

Include at least 1 properly formatted citation from our class textbook

Option 2: Coding Theory Case Study

Explain the theory in your own words based on the case study and suggested readings.

Include the following in your explanation:

Error Detecting Codes

Error Correcting Codes

Hamming Distance

Perfect Codes

Generator Matrices

Parity Check Matrices

Hamming Codes

Give an example of how this could be applied in other real-worldapplications.

Format your paper according to APA guidelines. All work must be properly cited and referenced.

Include at least 1 properly formatted citation from our class textbook

Option 3: Network Flows Case Study

Explain the solutions for examples 1, 2 and 3 from the text.

Explain the theory developed including capacitated s,t graphs and the lexicographic ordering rule based on the case study and suggested readings.

Give an example of how this could be applied in other real-worldapplications.

Format your paper according to APA guidelines. All work must be properly cited and referenced.

Include at least 1 properly formatted citation from our class textbook

SupportingMaterial:Read Food Webs, Coding Theory, and Network

Flows Case Studies.

Complete the Final Exam in Connect.

Individual

Oct 26, 2015 11:59 PM

140

 

 

 

 

 

 

 

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