CSIT  Discrete Structure Notes  Tu Bsc.Csit Notes & Solutions
CSIT  Discrete Structure Notes  Tu Bsc.Csit Notes & Solutions
Overview
Title: Discrete Structures and Mathematics  Course Contents Overview
Notes for Discrete Structures Notes
Unit 1: Basic Discrete Structures

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

Exploring Integers and Matrices (6 Hrs)
 Integers: Division, Number Theory Applications, Algorithms
 Matrices: ZeroOne 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

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

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

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 NonHomogeneous Equations
Notes and Resources:
 PDF Document: [Link to Counting and Discrete Probability PDF]
Unit 6: Relations and Graphs

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 FlowMin Cut Theorem
Notes and Resources:
 PDF Document: [Link to Relations and Graphs PDF]
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