Discrete Structure
Discrete Structure
CSIT - Discrete Structure Notes - Tu Bsc.Csit Notes & Solutions
Introduction to Discrete Structure
Title: Discrete Structures and Mathematics - Course Contents Overview
Notes for Discrete Structures Notes
Unit 1: Basic Discrete Structures
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Understanding Sets, Functions, Sequences (7 Hrs)
- Sets: Definitions, Operations, Representations
- Functions: Types, Graphs, Functions in Computer Science, Fuzzy Sets
- Sequences and Summations: Basics, Progressions, Summation Concepts
Notes and Resources:
- PDF Document: [Link to Basic Discrete Structures PDF]
Unit 2: Integers and Matrices
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Exploring Integers and Matrices (6 Hrs)
- Integers: Division, Number Theory Applications, Algorithms
- Matrices: Zero-One Matrices, Boolean Operations
Notes and Resources:
- PDF Document: [Link to Integers and Matrices PDF]
[Continue the pattern for Units 3 through 6]
Unit 3: Logic and Proof Methods
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Understanding Logic and Proofs (6 Hrs)
- Logic: Propositional Logic, Quantifiers, Rules of Inferences
- Proof Methods: Terminology, Direct/Indirect Proofs, Mistakes in Proofs
Notes and Resources:
- PDF Document: [Link to Logic and Proof Methods PDF]
Unit 4: Induction and Recursion
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Exploring Induction and Recursion (5 Hrs)
- Induction: Mathematical Induction, Well Ordering
- Recursive Definitions, Algorithms, Proving Correctness
Notes and Resources:
- PDF Document: [Link to Induction and Recursion PDF]
Unit 5: Counting and Discrete Probability
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Understanding Counting and Probability (9 Hrs)
- Counting: Principles, Pigeonhole, Permutations, Combinations
- Discrete Probability: Introduction, Hashing, Expected Value, Randomized Algorithms
- Advanced Counting: Recurrence Relations, Solving Homogeneous and Non-Homogeneous Equations
Notes and Resources:
- PDF Document: [Link to Counting and Discrete Probability PDF]
Unit 6: Relations and Graphs
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Exploring Relations, Graphs, and Trees (12 Hrs)
- Relations: Properties, Representations, Equivalence, Partial Ordering
- Graphs: Basics, Types, Connectivity, Algorithms (Dijkstra’s Algorithm)
- Trees: Traversals, Spanning Trees, Minimum Spanning Trees
- Network Flows: Commodity Flow Models, Max Flow-Min Cut Theorem
Notes and Resources:
- PDF Document: [Link to Relations and Graphs PDF]
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