Section1: Engineering Mathematics
Discrete Mathematics: Propositional and first order logic. Sets, relations, functions, partial
orders and lattices. 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
Probability: Random variables. Uniform, normal, exponential, poisson and binomial
distributions. Mean, median, mode and standard deviation. Conditional probability and
Section 2: Digital Logic
- Boolean algebra
- Combinational and sequential circuits
- Number representations and computer arithmetic (fixed and floating point)
Section 3: Computer Organization and Architecture
- 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)
Section 4: Programming and Data Structures
- Programming in C
- Recursion Arrays
- linked lists
- binary search trees
- binary heaps
Section 5: Algorithms
- Asymptotic worst case time and space complexity.
- Algorithm design techniques: greedy, dynamic programming and divide‐and‐conquer.
- Graph search, minimum spanning trees, shortest paths.
Section 6: Theory of Computation
- 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
- Lexical analysis, parsing, syntax-directed translation
- Runtime environments
- Code generation
Section 8: Operating System
- Processes, threads, inter‐process communication, concurrency and synchronization
- CPU scheduling
- Memory management and virtual memory
- File systems
Section 9: Databases
- 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
- 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 public key and private key cryptography, digital signatures and certificates, firewalls.