GATE NET JRF SET COMPUTER SCIENCE (CS)

🌺😍🖊GATE 2026 Live Now 🖊Conducting Organisation - IIT GUWAHATI 🖊Registration - 25 Aug To 25 Sep Without Late Fees 🖊Admit Card - First Week Of January 2026 🖊Exam Date - 7 & 8 , 14 & 15 Feb 2026 🖊Result - 19 March 2026 🖊Direct Link For Apply Form - https://gate2026.iitg.ac.in 🖊Gate Score Using In - 😍Admission In M.tech 😍Admission In Phd Program 😍Gate Score Also Used In Many PSU Direct Recruitment Like As

After some days we start unit wise complete theory solution for Gate And Also Ugc net 😊 I also tell you about complete preparation details for ugc and gate and also about important topics and high marks units 😊 Wait for some suprising things If any query regarding your preparation then please ask Thanks Regard by Mr. Sk Regar (@Sk_Regar) [Assistant Professor, CSE]

⚠️अत्यंत महत्वपूर्ण सूचना: हमारे टेलीग्राम चैनल पर जो पैसे कमाने या इन्वेस्टमेंट को लेकर जो ऐड शो हो रहे है वो हमारे द्वारा नही दिखाए जा रहे है। कृपया ऐसे लिंक पर ध्यान ना दे।

😍Gate Computer Science 2026😍 🖥Mode of Exam - Online 🖥Number of Questions - 65 🖥Duration of Exam - 3 hours 🖥Pattern of Questions - 💎Multiple Choice Questions (MCQs) 💎Numerical Answer Type Questions (NAT) 💎Multiple Select Questions ( MSQ ) 📷Marking Scheme - 🧭For MCQ’s - Carry 1 mark and 2 marks for questions and also negative marking 0.33 for 1 mark question and 0.66 for 2 marks questions 🧭For NAT - No negative marking. 🧭For MSQ - No negative marking. 🖥Number of Sections - 💎Section 1- General Aptitude 💎Section 2 – Engineering Mathematics and Core Discipline Questions. 🖥Topic wise weightage - 💎General Aptitude – 15% 💎Engineering Mathematics – 15% 💎Core Discipline Questions – 70% 📷Top High Scoring Units - 💎General Aptitude - 15 💎Engineering Mathematics - 15 💎Computer Organisation & Architecture - 8 💎Programming And DSA - 22 💎Database And Computer Network - 18 😇Overall 78 +

😍🌺GATE Computer Science Detailed Syllabus And Estimated Weightage [Marks]😍 🎁Part 1 [ General Aptitude - 15 Marks ] 🗳Verbal Aptitude - English grammar ,Vocabularies ,Reading and comprehension ,Narrative sequencing 🗳Quantitative Aptitude - Data interpretation ,2 & 3-dimensional plots , Maps & tables ,Numerical computation & estimation that includes ratios, percentages, powers, exponents & logarithms Permutations & combinations Mensuration & geometry Elementary statistics & probability 🗳Analytical Aptitude Logic - Deduction & induction Analogy Numerical relations & reasoning 🗳Spatial Aptitude - Transformation of shapes like translation, mirroring , rotation & scaling Assembling & grouping Paper folding, cutting, and patterns (2 & 3 dimensions) 🎁Part 2 [ Core Subject - 70 Marks ] 🗳Section 1 - Engineering Mathematics [ 15 Marks ] Discrete Mathematics: Propositional and first order logic. Sets, relations, functions, partial orders and lattices. Monoids, Groups. Graphs: connectivity, matching, coloring. Combinatorics: counting, recurrence relations, generating functions. Linear Algebra: Matrices, determinants, system of linear equations, eigenvalues and eigenvectors, LU decomposition. Calculus: Limits, continuity and differentiability. Maxima and minima. Mean value theorem. Integration. Probability and Statistics: Random variables. Uniform, normal, exponential, poisson and binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem. Computer Science and Information Technology 🗳Section 2 - Digital Logic [ 6 - 7 Marks ] Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point). 🗳Section 3 - Computer Organization and Architecture [ 8 Marks ] Machine instructions and addressing modes. ALU, data‐path and control unit. Instruction pipelining, pipeline hazards. Memory hierarchy: cache, main memory and secondary storage; I/O interface (interrupt and DMA mode). 🗳Section 4 - Programming and Data Structures [ 13 - 15 Marks ] Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs. 🗳Section 5 - Algorithms [ 7 Marks ] Searching, sorting, hashing. Asymptotic worst case time and space complexity. Algorithm design techniques: greedy, dynamic programming and divide‐and‐conquer. Graph traversals, minimum spanning trees, shortest paths 🗳Section 6 - Theory of Computation [ 6 Marks ] Regular expressions and finite automata. Context-free grammars and push-down automata. Regular and contex-free languages, pumping lemma. Turing machines and undecidability. 🗳Section 7 - Compiler Design [ 4 Marks ] Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate code generation. Local optimisation, Data flow analyses: constant propagation, liveness analysis, common sub expression elimination. 🗳Section 8 - Operating System [ 8 - 9 Marks ] System calls, processes, threads, inter‐process communication, concurrency and synchronization. Deadlock. CPU and I/O scheduling. Memory management and virtual memory. File systems. 🗳Section 9 - Databases [ 7 - 8 Marks ] ER‐model. Relational model: relational algebra, tuple calculus, SQL. Integrity constraints, normal forms. File organization, indexing (e.g., B and B+ trees). Transactions and concurrency control. 🗳Section 10 - Computer Networks [ 10 Marks ] Concept of layering: OSI and TCP/IP Protocol Stacks; Basics of packet, circuit and virtual circuit-switching; Data link layer: framing, error detection, Medium Access Control, Ethernet bridging; Routing protocols: shortest path, flooding, distance vector and link state routing; Fragmentation and IP addressing, IPv4, CIDR notation, Basics of IP support protocols (ARP, DHCP, ICMP), Network Address Translation (NAT); Transport layer: flow control and congestion control, UDP, TCP, sockets; Application layer protocols: DNS, SMTP, HTTP, FTP, Email.

Today We Discuss On Complete Syllabus And Detailed Topics For Gate CSE 2026 ✓ 😍

😍This Is The Syllabus Of UGC NET COMPUTER SCIENCE 👆 This is the special gift for you by SK Regar [ Assistant Prof. CS ] 👇 Now the students who are doing PG can become assistant professor by clearing NET along with PG or after PG or by clearing JRF along with PhD they can get 37k + scholarship per month, during that period they can get a job by preparing or after PhD they can become assistant professor by giving interview in any government university or colleges

😍This Is The Syllabus Of UGC NET COMPUTER SCIENCE 👆 This is the special gift for you by SK Regar [ Assistant Prof. CS ] 👇

Now the students who are doing PG can become assistant professor by clearing NET along with PG or after PG or by clearing JRF along with PhD they can get 37k + scholarship per month, during that period they can get a job by preparing or after PhD they can become assistant professor by giving interview in any government university or colleges

😍Unit – 10 Artificial Intelligence (AI) 🖊Approaches to AI - Turing Test and Rational Agent Approaches; State Space Representation of Problems, Heuristic Search Techniques, Game Playing, Min-Max Search, Alpha Beta Cutoff Procedures. 🖊Knowledge Representation - Logic, Semantic Networks, Frames, Rules, Scripts, Conceptual Dependency and Ontologies; Expert Systems, Handling Uncertainty in Knowledge. 🖊Planning - Components of a Planning System, Linear and Non Linear Planning; Goal Stack Planning, Hierarchical Planning, STRIPS, Partial Order Planning. 🖊Natural Language Processing - Grammar and Language; Parsing Techniques, Semantic Analysis and Prgamatics. 🖊Multi Agent Systems - Agents and Objects; Agents and Expert Systems; Generic Structure of Multiagent System, Semantic Web, Agent Communication, Knowledge Sharing using Ontologies, Agent Development Tools. 🖊Fuzzy Sets - Notion of Fuzziness, Membership Functions, Fuzzification and Defuzzification; Operations on Fuzzy Sets, Fuzzy Functions and Linguistic Variables; Fuzzy Relations, Fuzzy Rules and Fuzzy Inference; Fuzzy Control System and Fuzzy Rule Based Systems. 🖊Genetic Algorithms (GA) - Encoding Strategies, Genetic Operators, Fitness Functions and GA Cycle; Problem Solving using GA. 🖊Artificial Neural Networks (ANN) - Supervised, Unsupervised and Reinforcement Learning; Single Perceptron, Multi Layer Perceptron, Self Organizing Maps, Hopfield Network. 8

😍Unit – 9 Data Communication and Computer Networks 🖊Data Communication - Components of a Data Communication System, Simplex, HalfDuplex and Duplex Modes of Communication; Analog and Digital Signals; Noiseless and Noisy Channels; Bandwidth, Throughput and Latency; Digital and Analog Transmission; Data Encoding and Modulation Techniques; Broadband and Baseband Transmission; Multiplexing, Transmission Media, Transmission Errors, Error Handling Mechanisms. 🖊Computer Networks - Network Topologies, Local Area Networks, Metropolitan Area Networks, Wide Area Network, Wireless Networks, Internet. 🖊Network Models - Layered Architecture, OSI Reference Model and its Protocols; TCP/IP Protocol Suite, Physical, Logical, Port and Specific Addresses; Switching Techniques. 🖊Functions of OSI and TCP/IP Layers - Framing, Error Detection and Correction; Flow and Error Control; Sliding Window Protocol, HDLC, Multiple Access – CSMA/CD, CSMA/CA, Reservation, Polling, Token Passing, FDMA, CDMA, TDMA, Network Devices, Backbone Networks, Virtual LANs. 🖊IPv4 Structure and Address Space - Classful and Classless Addressing; Datagram, Fragmentation and Checksum; 🖊IPv6 Packet Format, Mapping Logical to Physical Address (ARP), Direct and Indirect Network Layer Delivery; Routing Algorithms, TCP, UDP and SCTP Protocols; Flow Control, Error Control and Congestion Control in TCP and SCTP. 🖊World Wide Web (WWW) - Uniform Resource Locator (URL), Domain Name Service (DNS), Resolution - Mapping Names to Addresses and Addresses to Names; Electronic Mail Architecture, SMTP, POP and IMAP; TELNET and FTP. 🖊Network Security - Malwares, Cryptography and Steganography; Secret-Key Algorithms, Public-Key Algorithms, Digital Signature, Virtual Private Networks, Firewalls. 🖊Mobile Technology - GSM and CDMA; Services and Architecture of GSM and Mobile Computing; Middleware and Gateway for Mobile Computing; Mobile IP and Mobile Communication Protocol; Communication Satellites, Wireless Networks and Topologies; Cellular Topology, Mobile Adhoc Networks, Wireless Transmission and Wireless LANs; Wireless Geolocation Systems, GPRS and SMS. 🖊Cloud Computing and IoT - SaaS, PaaS, IaaS, Public and Private Cloud; Virtualization, Virtual Server, Cloud Storage, Database Storage, Resource Management, Service Level Agreement, Basics of IoT.

😍Unit – 8 Theory of Computation and Compilers 🖊Theory of Computation - Formal Language, Non-Computational Problems, Diagonal Argument, Russels’s Paradox. 🖊Regular Language Models - Deterministic Finite Automaton (DFA), Non-Deterministic Finite Automaton (NDFA), Equivalence of DFA and NDFA, Regular Languages, Regular Grammars, Regular Expressions, Properties of Regular Language, Pumping Lemma, NonRegular Languages, Lexical Analysis. 🖊Context Free Language - Pushdown Automaton (PDA), Non-Deterministic Pushdown Automaton (NPDA), Context Free Grammar, Chomsky Normal Form, Greibach Normal Form, Ambiguity, Parse Tree Representation of Derivation Trees, Equivalence of PDA’s and Context Free Grammars; Properties of Context Free Language. 🖊Turing Machines (TM) - Standard Turing Machine and its Variations; Universal Turing Machines, Models of Computation and Church-Turing Thesis; Recursive and RecursivelyEnumerable Languages; Context-Sensitive Languages, Unrestricted Grammars, Chomsky Hierarchy of Languages, Construction of TM for Simple Problems. 🖊Unsolvable Problems and Computational Complexity - Unsolvable Problem, Halting Problem, Post Correspondence Problem, Unsolvable Problems for Context-Free Languages, Measuring and Classifying Complexity, Tractable and Intractable Problems. 🖊Syntax Analysis - Associativity, Precedence, Grammar Transformations, Top Down Parsing, Recursive Descent Predictive Parsing, LL(1) Parsing, Bottom up Parsing, LR Parser, LALR(1) Parser. 🖊Semantic Analysis - Attribute Grammar, Syntax Directed Definitions, Inherited and Synthesized Attributes; Dependency Graph, Evaluation Order, S-attributed and L-attributed Definitions; Type-Checking. 🖊Run Time System - Storage Organization, Activation Tree, Activation Record, Stack Allocation of Activation Records, Parameter Passing Mechanisms, Symbol Table. 🖊Intermediate Code Generation - Intermediate Representations, Translation of Declarations, Assignments, Control Flow, Boolean Expressions and Procedure Calls. 🖊Code Generation and Code Optimization - Control-flow, Data-flow Analysis, Local Optimization, Global Optimization, Loop Optimization, Peep-Hole Optimization, Instruction Scheduling.

😍Unit – 7 Data Structures and Algorithms 🖊Data Structures - Arrays and their Applications; Sparse Matrix, Stacks, Queues, Priority Queues, Linked Lists, Trees, Forest, Binary Tree, Threaded Binary Tree, Binary Search Tree, AVL Tree, B Tree, B+ Tree, B* Tree, Data Structure for Sets, Graphs, Sorting and Searching Algorithms; Hashing. 🖊Performance Analysis of Algorithms and Recurrences - Time and Space Complexities; Asymptotic Notation, Recurrence Relations. 🖊Design Techniques - Divide and Conquer; Dynamic Programming, Greedy Algorithms, Backtracking, Branch and Bound. 🖊Lower Bound Theory - Comparison Trees, Lower Bounds through Reductions. Graph Algorithms: Breadth-First Search, Depth-First Search, Shortest Paths, Maximum Flow, Minimum Spanning Trees. 🖊Complexity Theory - P and NP Class Problems; NP-completeness and Reducibility. 🖊Selected Topics - Number Theoretic Algorithms, Polynomial Arithmetic, Fast Fourier Transform, String Matching Algorithms. 🖊Advanced Algorithms - Parallel Algorithms for Sorting, Searching and Merging, Approximation Algorithms, Randomized Algorithms.

😍Unit – 6 Software Engineering 🖊Software Process Models - Software Process, Generic Process Model – Framework Activity, Task Set and Process Patterns; Process Lifecycle, Prescriptive Process Models, Project Management, Component Based Development, Aspect-Oriented Software Development, Formal Methods, Agile Process Models – Extreme Programming (XP), Adptive Software Development, Scrum, Dynamic System Development Model, Feature Driven Development, Crystal, Web Engineering. 🖊Software Requirements - Functional and Non-Functional Requirements; Eliciting Requirements, Developing Use Cases, Requirement Analysis and Modelling; Requirements Review, Software Requirment and Specification (SRS) Document. 🖊Software Design - Abstraction, Architecture, Patterns, Separation of Concerns, Modularity, Information Hiding, Functional Independence, Cohesion and Coupling; Object-Oriented Design, Data Design, Architectural Design, User Interface Design, Component Level Design. 🖊Software Quality - McCall’s Quality Factors, ISO 9126 Quality Factors, Quality Control, Quality Assurance, Risk Management, Risk Mitigation, Monitoring and Management (RMMM); Software Reliability. 🖊Estimation and Scheduling of Software Projects - Software Sizing, LOC and FP based Estimations; Estimating Cost and Effort; Estimation Models, Constructive Cost Model (COCOMO), Project Scheduling and Staffing; Time-line Charts. 🖊Software Testing - Verification and Validation; Error, Fault, Bug and Failure; Unit and Integration Tesing; White-box and Black-box Testing; Basis Path Testing, Control Structure Testing, Deriving Test Cases, Alpha and Beta Testing; Regression Testing, Performance Testing, Stress Testing. 🖊Software Configuration Management - Change Control and Version Control; Software Reuse, Software Re-engineering, Reverse Engineering.

😍Unit – 5 System Software and Operating System 🖊System Software - Machine, Assembly and High-Level Languages; Compilers and Interpreters; Loading, Linking and Relocation; Macros, Debuggers. 🖊Basics of Operating Systems - Operating System Structure, Operations and Services; System Calls, Operating-System Design and Implementation; System Boot. 🖊Process Management - Process Scheduling and Operations; Interprocess Communication, Communication in Client–Server Systems, Process Synchronization, Critical-Section Problem, Peterson’s Solution, Semaphores, Synchronization. 🖊Threads - Multicore Programming, Multithreading Models, Thread Libraries, Implicit Threading, Threading Issues. 🖊CPU Scheduling - Scheduling Criteria and Algorithms; Thread Scheduling, MultipleProcessor Scheduling, Real-Time CPU Scheduling. 🖊Deadlocks - Deadlock Characterization, Methods for Handling Deadlocks, Deadlock Prevention, Avoidance and Detection; Recovery from Deadlock. 🖊Memory Management - Contiguous Memory Allocation, Swapping, Paging, Segmentation, Demand Paging, Page Replacement, Allocation of Frames, Thrashing, Memory-Mapped Files. 🖊Storage Management - Mass-Storage Structure, Disk Structure, Scheduling and Management, RAID Structure. 🖊File and Input/Output Systems - Access Methods, Directory and Disk Structure; FileSystem Mounting, File Sharing, File-System Structure and Implementation; Directory Implementation, Allocation Methods, Free-Space Management, Efficiency and Performance; Recovery, I/O Hardware, Application I/O Interface, Kernel I/O Subsystem, Transforming I/O Requests to Hardware Operations. 🖊Security - Protection, Access Matrix, Access Control, Revocation of Access Rights, Program Threats, System and Network Threats; Cryptography as a Security Tool, User Authentication, Implementing Security Defenses. 🖊Virtual Machines - Types of Virtual Machines and Implementations; Virtualization. 🖊Linux Operating Systems - Design Principles, Kernel Modules, Process Management, Scheduling, Memory Management, File Systems, Input and Output; Interprocess Communication, Network Structure. 🖊Windows Operating Systems - Design Principles, System Components, Terminal Services and Fast User Switching; File System, Networking. 🖊Distributed Systems - Types of Network based Operating Systems, Network Structure, Communication Structure and Protocols; Robustness, Design Issues, Distributed File Systems.

😍Unit – 4 Database Management Systems Database System 🖊Concepts and Architecture - Data Models, Schemas, and Instances; Three-Schema Architecture and Data Independence; Database Languages and Interfaces; Centralized and Client/Server Architectures for DBMS. 🖊Data Modeling - Entity-Relationship Diagram, Relational Model - Constraints, Languages, Design, and Programming, Relational Database Schemas, Update Operations and Dealing with Constraint Violations; Relational Algebra and Relational Calculus; Codd Rules. 🖊SQL - Data Definition and Data Types; Constraints, Queries, Insert, Delete, and Update Statements; Views, Stored Procedures and Functions; Database Triggers, SQL Injection. 🖊Normalization for Relational Databases - Functional Dependencies and Normalization; Algorithms for Query Processing and Optimization; Transaction Processing, Concurrency Control Techniques, Database Recovery Techniques, Object and Object-Relational Databases; Database Security and Authorization. 🖊Enhanced Data Models - Temporal Database Concepts, Multimedia Databases, Deductive Databases, XML and Internet Databases; Mobile Databases, Geographic Information Systems, Genome Data Management, Distributed Databases and Client-Server Architectures. 🖊Data Warehousing and Data Mining - Data Modeling for Data Warehouses, Concept Hierarchy, OLAP and OLTP; Association Rules, Classification, Clustering, Regression, Support Vector Machine, K-Nearest Neighbour, Hidden Markov Model, Summarization, Dependency Modeling, Link Analysis, Sequencing Analysis, Social Network Analysis. 🖊Big Data Systems - Big Data Characteristics, Types of Big Data, Big Data Architecture, Introduction to Map-Reduce and Hadoop; Distributed File System, HDFS. 🖊NOSQL - NOSQL and Query Optimization; Different NOSQL Products, Querying and Managing NOSQL; Indexing and Ordering Data Sets; NOSQL in Cloud.

😍Unit - 3 Programming Languages and Computer Graphics 🖊Language Design and Translation Issues - Programming Language Concepts, Paradigms and Models, Programming Environments, Virtual Computers and Binding Times, Programming Language Syntax, Stages in Translation, Formal Transition Models. 🖊Elementary Data Types - Properties of Types and Objects; Scalar and Composite Data Types. 🖊Programming in C - Tokens, Identifiers, Data Types, Sequence Control, Subprogram Control, Arrays, Structures, Union, String, Pointers, Functions, File Handling, Command Line Argumaents, Preprocessors. 🖊Object Oriented Programming - Class, Object, Instantiation, Inheritance, Encapsulation, Abstract Class, Polymorphism. 🖊Programming in C++ - Tokens, Identifiers, Variables and Constants; Data types, Operators, Control statements, Functions Parameter Passing, Virtual Functions, Class and Objects; Constructors and Destructors; Overloading, Inheritance, Templates, Exception and Event Handling; Streams and Files; Multifile Programs. 🖊Web Programming - HTML, DHTML, XML, Scripting, Java, Servlets, Applets. 🖊Computer Graphics - Video-Display Devices, Raster-Scan and Random-Scan Systems; Graphics Monitors, Input Devices, Points and Lines; Line Drawing Algorithms, Mid-Point Circle and Ellipse Algorithms; Scan Line Polygon Fill Algorithm, Boundary-Fill and FloodFill. 🖊2-D Geometrical Transforms and Viewing - Translation, Scaling, Rotation, Reflection and Shear Transformations; Matrix Representations and Homogeneous Coordinates; Composite Transforms, Transformations Between Coordinate Systems, Viewing Pipeline, Viewing Coordinate Reference Frame, Window to View-Port Coordinate Transformation, Viewing Functions, Line and Polygon Clipping Algorithms. 🖊3-D Object Representation, Geometric Transformations and Viewing- Polygon Surfaces, Quadric Surfaces, Spline Representation, Bezier and B-Spline Curves; Bezier and B-Spline Surfaces; Illumination Models, Polygon Rendering Methods, Viewing Pipeline and Coordinates; General Projection Transforms and Cipping.

😍Unit - 2 Computer System Architecture 🖊Digital Logic Circuits and Components - Digital Computers, Logic Gates, Boolean Algebra, Map Simplifications, Combinational Circuits, Flip-Flops, Sequential Circuits, Integrated Circuits, Decoders, Multiplexers, Registers and Counters, Memory Unit. 🖊Data Representation - Data Types, Number Systems and Conversion, Complements, Fixed Point Representation, Floating Point Representation, Error Detection Codes, Computer Arithmetic - Addition, Subtraction, Multiplication and Division Algorithms. 🖊Register Transfer and Microoperations - Register Transfer Language, Bus and Memory Transfers, Arithmetic, Logic and Shift Microoperations. 🖊Basic Computer Organization and Design - Stored Program Organization and Instruction Codes, Computer Registers, Computer Instructions, Timing and Control, Instruction Cycle, Memory-Reference Instructions, Input-Output, Interrupt. 🖊Programming the Basic Computer - Machine Language, Assembly Language, Assembler, Program Loops, Subroutines, Input-Output Programming. 🖊Microprogrammed Control - Control Memory, Address Sequencing, Design of Control Unit. 🖊Central Processing Unit - General Register Organization, Stack Organization, Instruction Formats, Addressing Modes, RISC Computer, CISC Computer. 🖊Pipeline and Vector Processing - Parallel Processing, Pipelining, Arithmetic Pipeline, Instruction Pipeline, Vector Processing Array Processors. 🖊Input-Output Organization - Peripheral Devices, Input-Output Interface, Asynchronous Data Transfer, Modes of Transfer, Priority Interrupt, DMA, Serial Communication. 🖊Memory Hierarchy - Main Memory, Auxillary Memory, Associative Memory, Cache Memory, Virtual Memory, Memory Management Hardware. 🖊Multiprocessors - Characteristics of Multiprocessors, Interconnection Structures, Interprocessor Arbitration, Interprocessor Communication and Synchronization, Cache Coherence, Multicore Processors.

😍Unit - 1 Discrete Structures and Optimization 🖊Mathematical Logic - Propositional and Predicate Logic, Propositional Equivalences, Normal Forms, Predicates and Quantifiers, Nested Quantifiers, Rules of Inference. 🖊Sets and Relations - Set Operations, Representation and Properties of Relations, Equivalence Relations, Partially Ordering. 🖊Counting, Mathematical Induction and Discrete Probability - Basics of Counting, Pigeonhole Principle, Permutations and Combinations, Inclusion- Exclusion Principle, Mathematical Induction, Probability, Bayes’ Theorem. 🖊Group Theory - Groups, Subgroups, Semi Groups, Product and Quotients of Algebraic Structures, Isomorphism, Homomorphism, Automorphism, Rings, Integral Domains, Fields, Applications of Group Theory. 🖊Graph Theory - Simple Graph, Multigraph, Weighted Graph, Paths and Circuits, Shortest Paths in Weighted Graphs, Eulerian Paths and Circuits, Hamiltonian Paths and Circuits, Planner graph, Graph Coloring, Bipartite Graphs, Trees and Rooted Trees, Prefix Codes, Tree Traversals, Spanning Trees and Cut-Sets. 🖊Boolean Algebra - Boolean Functions and its Representation, Simplifications of Boolean Functions. 🖊Optimization - Linear Programming - Mathematical Model, Graphical Solution, Simplex and Dual Simplex Method, Sensitive Analysis; Integer Programming, Transportation and Assignment Models, PERT-CPM - Diagram Representation, Critical Path Calculations, Resource Levelling, Cost Consideration in Project Scheduling.

🌺Complete Syllabus And Detailed Topics For UGC NET