MTH 221 Discrete Math for IT
RSaleemSYLLABUS
MTH/221 Discrete Math for
Information Technology
Week1 | Sep, 22 - Sep, 28 |
Combinatorics |
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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 |
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Participation | Individual |
| Sep 28, 2015 11:59 PM |
| 40 |
Instructions: |
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Participate in class discussion. |
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| Individual |
| Sep 28, 2015 11:59 PM |
| 130 |
Complete the Week One Connect Exercises. |
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Week2 | Sep, 29 - Oct, 05 |
Logic & Set Theory; Boolean Algebra; Relations & Functions |
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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 |
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Participation | Individual |
| Oct 05, 2015 11:59 PM |
| 40 |
Instructions:Participatein class discussion. |
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| Individual |
| Oct 05, 2015 11:59 PM |
| 130 |
Complete the Week Two Connect Exercises. |
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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 |
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Participation | Individual |
| Oct 12, 2015 11:59 PM |
| 40 |
Instructions:Participate in class discussion. |
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| Individual |
| Oct 12, 2015 11:59 PM |
| 130 |
Complete the Week Three Connect Exercises. |
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Week4 | Oct, 13 - Oct, 19 |
Graph Theory and Trees |
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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 |
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Participation | Individual |
| Oct 19, 2015 11:59 PM |
| 40 |
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Instructions:Participate in class discussion. |
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| Individual |
| Oct 19, 2015 11:59 PM |
| 130 |
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Complete the Week Four Connect Exercises. |
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Week5 | Oct, 20 - Oct, 26 |
Applications of Discrete Mathematics |
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Objectives/Competencies |
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5.1 Use discrete mathematics to analyze application problems. |
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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 | |
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Participation | Individual | Oct 26, 2015 11:59 PM | 40 | |
Instructions:Participate in class discussion. | ||||
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Case Study Application Paper | Individual Oct 26, 2015 11:59 PM 140 | |
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Choose one of the following Case Studies: |
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• Food Webs |
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• Coding Theory |
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• Network Flows |
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Write a 750- to 1,250-word paper in which you complete one of the |
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following options: |
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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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