Basic Mathematics
Mathematical Logic
Propositional Logic, First Order Logic
Probability
Random Variables And Expectation, Conditional Probability, Independent Random Variables, Distributions - Uniform, Normal, Exponential, Binomial
Discrete Mathematics
Sets, Relations, Functions, Boolean Algebra, Induction, Recurrence Relations
Combinatorics
Permutations, Combinations, Counting Summations
Graph Theory
Elementary Concepts, Planarity, Matching
Algebra
Elementary Concepts Of Linear And Matrix Algebra
Numerical Methods
Classical Algorithms For Interpolation And Root Finding
Formal Languages and Automata Regular languages
Finite Automata, Regular Expressions, Regular Grammar Context Free Languages Push Down Automata, Context Free Grammars
Computer Hardware
Digital Logic
Logic Functions, Minimization, Design And Synthesis Of Combinatorial And Sequential Circuits, Number Representation And Computer Arithmetic (Fixed And Floating Point)
Computer organization
Machine Instructions And Addressing Modes, Alu And Data Path, Hardwired And Microprogrammed Control, Memory Interface, I/O Interface (Interrupt And Dma Mode), Serial Communication Interface, Instruction Pipelining, Cache, Main And Secondary Storage
Software Systems
Data structures and Algorithms
The Notion Of Abstract Data Types, Stack, Queue, List, Set, String, Tree, Binary Search Tree, Heap, Graph, Tree And Graph Traversals, Connected Components, Spanning Trees, Shortest Paths, Hashing, Sorting, Searching, Design Techniques (Greedy, Dynamic, Divide And Conquer), Asymptotic Analysis (Best, Worst, Average Cases) Of Time And Space, Upper And Lower Bounds, Intractability
Programming Methodology
C Programming, Program Control (Iteration, Recursion, Functions), Scope, Binding, Parameter Passing, Elementary Concepts Of Object Oriented Programming
Operating Systems (in the context of Unix)
Classical Concepts (Concurrency, Synchronization, Deadlock), Processes, Threads And Interprocess Communication, Cpu Scheduling, Memory Management, File Systems, I/O Systems, Protection And Security
Information Systems and Software Engineering
Information Gathering, Requirement And Feasibility Analysis, Data Flow Diagrams, Process Specifications, Input/Output Design, Process Life Cycle, Planning And Managing The Project, Design, Coding, Testing, Implementation, Maintenance.
Databases
Relational Model, Database Design, Integrity Constraints, Normal Forms, Query Languages (SQL), File Structures (Sequential, Indexed), B-trees, Transaction And Concurrency Control
Data Communication
Data Encoding And Transmission, Data Link Control, Multiplexing, Packet Switching, Lan Architecture, Lan Systems (Ethernet, Token Ring), Network Devices Switches, Gateways, Routers
Networks
ISO/OSI Stack, Sliding Window Protocols, Routing Protocols, TCP/UDP, Application Layer Protocols and Systems (HTTP, SMTP, DNS, FTP), Network Security
Web technologies
Three Tier Web Based Architecture; JSP, ASP, J2EE, .NET Systems; HTML, XML
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