## MySkill Academy |

CS GATE Course Topics

Engineering Mathematics | |||

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. |

Digital Logic | Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point). | ||

Computer Organization and Architecture | 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). | ||

Programming and Data Structures | Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps,graphs. | ||

Algorithms | 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 | ||

Theory of Computation | Regular expressions and finite automata. Context-free grammars and push-down automata. Regular and contexfree languages, pumping lemma. Turing machines and undecidability | ||

Compiler Design | Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate code generation.Local optimisation, Data flow analyses: constant propagation, liveness analysis, common subexpression elimination | ||

Operating System | System calls, processes, threads, inter?process communication, concurrency and synchronization.Deadlock. CPU and I/O scheduling. Memory management and virtual memory. File systems. | ||

Databases | 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. | ||

Computer Networks | 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. |

CS GATE Course Plan