GATE CS 2026 Mastery Course

Evaluate propositional logic formulas for satisfiability, tautology, or contradiction using truth tables.

Classify relations based on their properties (reflexive, symmetric, transitive) and identify posets and lattices.

Compute the rank, determinant, and inverse of a matrix.

Evaluate definite and improper integrals using techniques like substitution, integration by parts, and partial fractions.

Decode machine instructions and differentiate between instruction formats and addressing modes.

Trace the data path for arithmetic and memory access instructions in a single-cycle processor design.

Compare hardwired and microprogrammed control units in terms of design, performance, and flexibility.

Define and use structures, unions, and enums to create complex data types in C.

Write C code to pass structures and arrays to functions by value and by reference (using pointers).

Perform insertion, deletion, and reversal operations on singly, doubly, and circular linked lists.

Implement and analyze non-comparison based sorting algorithms like Counting Sort and Radix Sort.

Trace the execution of algorithms for finding Minimum Spanning Trees (Kruskal's, Prim's) and single-source shortest paths (Dijkstra's, Bellman-Ford).

Construct a regular expression and a finite automaton (DFA/NFA) for a given regular language.

Design a Context-Free Grammar (CFG) for a given context-free language and convert it to Chomsky Normal Form (CNF).

Apply the Pumping Lemma for CFLs to prove a language is not context-free and identify closure properties of CFLs.

Explain the concept of undecidability and use reductions from the Halting Problem to prove that other problems are undecidable.

Construct an LL(1) parsing table and use it to parse an input string.

Compare file allocation methods (contiguous, linked, indexed) and disk scheduling algorithms (FCFS, SSTF, SCAN, C-SCAN).

Model data requirements using Entity-Relationship (ER) diagrams and translate them into relational database schemas.