1) **Probability, Statistics and Combinatorics:** Conditional Probability, Random Variables; Mean, Median, Mode and Standard Deviation. Distributions: uniforms, normal, Exponential, Poisson, Binomial, Counting. Summation, generating functions, Permutations, Combinations, Recurrence relations, Asymptotic. 2) **Digital Logic:** Logic functions, Minimization, Design and synthesis of combinational and sequential circuits. Number representation and computer arithmetic (fixed and floating-point). 3) **Computer Organization and Architecture:** Machine instructions and addressing modes, ALU and data-path. CPU control design, Memory interface, I/O interface (interrupt and DMA mode), instruction pipelining. Cache and main memory, Secondary Storage. 4) **Electrical Engineering:** Power Electronics, Signals and Systems, Electromagnetic Fields, Network graph, KCL, KVL, Node and Mesh Analysis. Transient response of DC and AC Networks, Sinusoidal steady-state analysis, Resonance, Superposition theorem. Maximum Power transfer theorem, Three Phase Circuits, Power and Power factor in AC Circuits. 5) **Analog and Digital Communication:** Autocorrelation and power spectral density, properties of white noise, filtering of random signals through LTI systems. Amplitude modulation and demodulation, angle modulation and demodulation, spectra of AM and FM. Superheterodyne receivers, Circuits for Analog communications, information theory, entropy, mutual information and channel capacity theorem. Digital communications, PCM, DPCM, digital modulation schemes, amplitude, phase and frequency shift keying (ASK, PSK, FSK), QAM, MAP and ML decoding. Matched filter receiver, calculation of bandwidth, SNR and BER for digital modulation. Fundamentals of error correction, Hamming codes. 6) **Programming and Data Structures:** Programming in modern languages viz., Java, .Net, Open Source (PHP), Python, GoLang, NodeJS, etc. Functions, Recursion, Parameter passing, Scope, Binding. Abstract data types Arrays, Stacks, Queues, Linked Lists, Trees, Binary search trees, Binary heaps. Object-Oriented Programming Concepts – Object, Class, inheritance, Polymorphism, Abstraction and Encapsulation. 7) **Algorithms:** Analysis, Asymptotic, notation, Notions of space and time complexity, Worst and average case analysis. Design: Greedy approach, Dynamic programming, Divide-and-conquer, Tree and graph traversals, Connected competent, Spanning trees. Shortest paths: Hashing, Sorting, Searching, Asymptotic analysis (best, worst, average cases) of time and space, upper and lower bounds. The basic concept of complexity classes – P, NP, NP-hard, NP-complete. 8) **Compiler Design:** Lexical analysis, Parsing, Syntax directed translation. Runtime environments, intermediate and target code generation, Basics of code optimization. 9) **Operating System:** Processes, Threads, Inter-Process communication, Concurrency, Synchronization. Deadlock, CPU scheduling, Memory management and virtual memory. File systems, I/O systems, Protection and security. 10) **Databases: **ER-model, Relational Model (relational algebra, tuple calculus). Database design (integrity constraints, normal forms), Query languages (SQL). File structures (sequential files, indexing, B and B+ trees). Transactions and concurrency control, NoSQL Databases, questions on the internals of Postgres SQL. 11) **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. 12) **Computer Networks:** ISO/OSI stack, LAN technologies, Flow and error control techniques, Routing algorithms, Congestion control, TCP/UDP and sockets, IP(v4), IP(v6), Application layer protocols, (ICMP, DNS, SMTP, POP, FTP, HTTP, HTTPS), Basic concepts of hubs, switches, gateways and routers. Wireless technologies, Network security -basic concepts of public key and private key cryptography, digital signature, firewalls. 13) **Web Technologies: **HTML5, CSS3, XML, Basic concept of client-server computing, web server, proxy server, web application development, MVC Architecture, web services, frontend technologies. 14) **Cyber Security and Emerging Technologies:** Secure programming techniques, OWASP top 10 vulnerabilities, concepts on IoT, Blockchain, AI etc. 15) **Cloud Technology:** Compute, Network, Storage Management Technologies, Edge Computing etc. |