Course Modules: CMSC250-0101,0102,0103,0104,0201,0202,0203,0204,0205,0301,0302,0303,0304: Discrete Structures-Spring 2016 tomr55

MH Campus (Connect Software, Instructional Support, etc.)

MH Campus (Connect Software, Instructional Support, etc.) MH Campus (Connect Software, Instructional Support, etc.)

External Url

Registering For This Course Through this Elms Module Registering For This Course Through this Elms Module 0

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External Tool

McGraw-Hill (Connect Software Link) McGraw-Hill (Connect Software Link) 1

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Attachment

UMD Rosen FDOC.pptx UMD Rosen FDOC.pptx 2

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External Url

Shared LaTeX Webpage Shared LaTeX Webpage 3

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Introductory Materials/Propositional Logic

Introductory Materials/Propositional Logic Introductory Materials/Propositional Logic

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Slides_Introductory_Comments.pdf Slides_Introductory_Comments.pdf 0

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Attachment

Textbook Introduction(Slides) Textbook Introduction(Slides) 1

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Slides_PropositionalLogic_modified.pdf Slides_PropositionalLogic_modified.pdf 2

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Attachment

Table of Common Logical Laws Table of Common Logical Laws 3

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Topical Review of Propositional Logic Topical Review of Propositional Logic 4

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Attachment

Chapter1p1.pptx Chapter1p1.pptx 5

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Application of Logic: Circuits

Application of Logic: Circuits Application of Logic: Circuits

Prerequisites: Introductory Materials/Propositional Logic

Attachment

Topical Review: Boolean Logic & Circuits (Slideshow) Topical Review: Boolean Logic & Circuits (Slideshow) 0

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(Summary) Circuits (Slides) (Summary) Circuits (Slides) 1

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External Url

Notes on Converting between Bases Notes on Converting between Bases 2

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External Url

Notes of 2's Complements Notes of 2's Complements 3

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Boolean Algebra & Circuits (Slideshow--Optional material) Boolean Algebra & Circuits (Slideshow--Optional material) 4

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Drawing: Half Adder Drawing: Half Adder 5

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Quantifiers, Predicates and Patterns of Proof

Quantifiers, Predicates and Patterns of Proof Quantifiers, Predicates and Patterns of Proof

Attachment

Quantifiers & Intro to Sets (Lecture Slides) Quantifiers & Intro to Sets (Lecture Slides) 0

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Attachment

Department (Legacy) Slides: Quantifiers Department (Legacy) Slides: Quantifiers 1

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Attachment

Recitation Slides: Quantifiers, etc. Recitation Slides: Quantifiers, etc. 2

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Attachment

Common patterns of proof (Slideshow) Common patterns of proof (Slideshow) 3

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Attachment

Background: Mathematical Proofs Background: Mathematical Proofs 4

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External Url

Overview of Proof (Remote Video Content from MIT) Overview of Proof (Remote Video Content from MIT) 5

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Attachment

Handout of Definitions, Axioms, etc. to accompany HW & video Handout of Definitions, Axioms, etc. to accompany HW & video 6

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Attachment

Slides to accompany Intro to Proofs lecture/video Slides to accompany Intro to Proofs lecture/video 7

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Set Theory, Introduction to Functions

Set Theory, Introduction to Functions Set Theory, Introduction to Functions

Prerequisites: Quantifiers, Predicates and Patterns of Proof

Attachment

Background on Sets Background on Sets 0

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Slides_Basic_Proofs_w_Sets.pdf Slides_Basic_Proofs_w_Sets.pdf 1

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Properties of Functions (Slideshow) Properties of Functions (Slideshow) 2

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Recitation Slides (Textbook) Recitation Slides (Textbook) 3

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Recitation Slides---Set Theory Recitation Slides---Set Theory 4

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Slides on Functions (Recitations slides) Slides on Functions (Recitations slides) 5

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Functions, worksheet Functions, worksheet 6

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Supplement: Summation and Product Syntax (Slideshow) Supplement: Summation and Product Syntax (Slideshow) 7

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Introductory to Number Theory: Elementary Proof Schemes

Introductory to Number Theory: Elementary Proof Schemes Introductory to Number Theory: Elementary Proof Schemes

Prerequisites: Quantifiers, Predicates and Patterns of Proof, Introductory Materials/Propositional Logic

Attachment

Introduction-Number-Theory.pdf Introduction-Number-Theory.pdf 0

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Attachment

Thurson's Essay on Proof where he compares mathematical proof with programming Thurson's Essay on Proof where he compares mathematical proof with programming 1

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External Url

An Introduction to Modular Arithmetic An Introduction to Modular Arithmetic 2

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External Url

Introduction to Number Theory: Die-Hard, and friends (Remote Video from MIT) Introduction to Number Theory: Die-Hard, and friends (Remote Video from MIT) 3

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More Division & Summation Problems More Division & Summation Problems 4

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Note: Proof using congruences explored Note: Proof using congruences explored 5

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Midterm 1 & 2, Review Materials

Midterm 1 & 2, Review Materials Midterm 1 & 2, Review Materials

Attachment

Review_CMSC250_MTerm1.pdf Review_CMSC250_MTerm1.pdf 0

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Review_CMSC250_Mterm1-Key.pdf Review_CMSC250_Mterm1-Key.pdf 1

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Attachment

Recitation Slides: Review Topics for Midterm 1 Recitation Slides: Review Topics for Midterm 1 2

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Induction

Induction Induction

Prerequisites: Quantifiers, Predicates and Patterns of Proof, Introductory to Number Theory: Elementary Proof Schemes

Attachment

induction.pdf induction.pdf 0

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Induction-Style-Guide-fall15.pdf Induction-Style-Guide-fall15.pdf 1

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External Url

Overview of Proof Techniques, emphasizing Induction (Remote Video Content from MIT) Overview of Proof Techniques, emphasizing Induction (Remote Video Content from MIT) 2

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Java Application (JAR file) Java Application (JAR file) 3

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Focus on Strucutural Induction (Slideshow) Focus on Strucutural Induction (Slideshow) 4

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External Url

Strong Induction Strong Induction 5

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Review Slides from Recitation for Midterm 2 Review Slides from Recitation for Midterm 2 7

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ReviewProblems-Midterm2.pdf ReviewProblems-Midterm2.pdf 8

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Counting

Counting Counting

Attachment

Basic Counting (Slideshow) Basic Counting (Slideshow) 1

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Old Slides: Counting Old Slides: Counting 2

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External Url

Counting Lecture 1 Counting Lecture 1 3

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External Url

Counting, Lecture 2 Counting, Lecture 2 4

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Worksheet, Combinatorics Worksheet, Combinatorics 5

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Chapter6-from-textbook.pdf Chapter6-from-textbook.pdf 6

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Attachment

Chapter7.pdf Chapter7.pdf 7

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Final Exam Materials

Final Exam Materials Final Exam Materials

Attachment

Spring2016-Final-Exam-Review-Questions.pdf Spring2016-Final-Exam-Review-Questions.pdf 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Attachment

Some solutions to Review Questions Some solutions to Review Questions 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete