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- Propositional and first-order logic.
- Sets, relations, functions, partial orders and lattices.
- Graphs: connectivity, matching, colouring.
- Combinatory: counting, recurrence relations, generating functions.
- Matrices, determinants, the system of linear equations, eigenvalues and eigenvectors, LU decomposition.
- Limits, continuity, and differentiability. Maxima and minima. Mean value theorem.
- Random variables.
- Uniform, normal, exponential, Poisson and binomial distributions.
- Mean, median, mode and standard deviation. Conditional probability and Bayes theorem.
- Boolean algebra.
- Combinational and sequential circuits.
- Number representations and computer arithmetic (fixed and floating point).
- Machine instructions and addressing modes.
- ALU, data path, and control unit.
- Instruction pipelining.
- Memory hierarchy: cache, main memory, and secondary storage; I/O interface (interrupt and DMA mode).
- Programming in C.
- Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs.
- Searching, sorting, hashing. Asymptotic worst case time and space complexity.
- Algorithm design techniques: greedy, dynamic programming and divide and conquer.
- Graph search, minimum spanning trees, and shortest paths.
- Regular expressions and finite automata.
- Context-free grammars and push-down automata.
- Regular and contex-free languages, pumping lemma.
- Turing machines and undecidability.
- Lexical analysis, parsing, syntax-directed translation. Runtime environments.
- Intermediate code generation.
- Processes, threads, inter process communication, concurrency and synchronization.
- CPU scheduling. Memory management and virtual memory.
- File systems.
- 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.
- Concept of layering.
- LAN technologies (Ethernet).
- Flow and error control techniques, switching. IPv4/IPv6, routers and routing algorithms (distance vector, link state).
- TCP/UDP and sockets, congestion control.
- Application layer protocols (DNS, SMTP, POP, FTP, HTTP). Basics of Wi-Fi. Network security: authentication, basics of a public key and private key cryptography, digital signatures and certificates, firewalls.