**Table Of Contents**

The Discrete Structures and Theory of Logics course includes key ideas in computer science and mathematics, including logic, set theory, combinatorics, and graph theory. This blog presents a high-level summary of the program, highlighting its use in computational and logical contexts.

Dudes 🤔.. You want more useful details regarding this subject. Please keep in mind this as well.Important Questions For Discrete Structures and Theory of Logics:*Unit-01 *Unit-02 *Unit-03 *Unit-04 *Unit-05 *Short-Q/Ans *Question-Paper with solution 21-22

**UNIT – 1: SETS, FUNCTIONS & NATURAL NUMBERS**

- Set Theory:
- Introduction,
- Combination of sets,
- Multisets; Ordered pairs.
- Proofs of some general identities on sets.

- Relations:
- Definition,
- Operations on relations,
- Properties of relations,
- Composite Relations,
- Equality of relations,
- Recursive definition of relation,
- Order of relations.

- Functions:
- Definition,
- Classification of functions,
- Operations on functions,
- Recursively defined functions.
- Growth of Functions.

- Natural Numbers:
- Introduction,
- Mathematical Induction,
- Variants of Induction,
- Induction with Nonzero Base cases.
- Proof Methods, Proof by counter – example,
- Proof by contradiction.

**UNIT – 2 : ALGEBRAIC STRUCTURES**

- Definition, Groups, Subgroups and order,
- Cyclic Groups, Cosets, Lagrange’s theorem,
- Normal Subgroups, Permutation and Symmetric groups,
- Group Homomorphisms,
- Definition and elementary properties of Rings and Fields.

**UNIT – 3 : LATTICES & BOOLEAN ALGEBRA**

- Lattices: Definition, Properties of lattices – Bounded, Complemented, Modular and Complete lattice.
- Boolean Algebra: Introduction, Axioms and Theorems of Boolean algebra, Algebraic manipulation of Boolean expressions.
- Simplification of Boolean Functions, Karnaugh maps, Logic gates,
- Digital circuits and Boolean algebra.

**UNIT – 4: PROPOSITIONAL & PREDICATE LOGIC**

- Propositional Logic: Proposition,
- well formed formula, Truth tables,
- Tautology, Satisfiability, Contradiction,
- Algebra of proposition,
- Theory of Inference.
- Predicate Logic: First order predicate,
- well formed formula of predicate, quantifiers,
- Inference theory of predicate logic.

**UNIT – 5: TREES, GRAPHS & COMBINATORICS**

- Trees:
- Definition,
- Binary tree,
- Binary tree traversal,
- Binary search tree.

- Graphs:
- Definition and terminology,
- Representation of graphs,
- Multigraphs,
- Bipartite graphs,
- Planar graphs,
- Isomorphism and Homeomorphism of graphs,
- Euler and Hamiltonian paths,
- Graph coloring,

- Recurrence Relation & Generating function:
- Recursive definition of functions,
- Recursive algorithms, Method of solving recurrences.

- Combinatorics:
- Introduction,
- Counting Techniques,
- Pigeonhole Principle.

**Important Question with solutions | AKTU Quantums | Syllabus | Short Questions**

** Discrete Structures and Theory of Logics** Btech Quantum PDF, Syllabus, Important Questions

**Discrete Structures and Theory of Logics**Btech

Label | Link |
---|---|

Subject Syllabus | Syllabus |

Short Questions | Short-question |

Important Unit-1 | Unit-1 |

Important Unit-2 | Unit-2 |

Important Unit-3 | Unit-3 |

Important Unit-4 | Unit-4 |

Important Unit-5 | Unit-5 |

Question paper – 2021-22 | 2021-22 |

**Discrete Structures and Theory of Logics** Quantum PDF | AKTU Quantum PDF:

Quantum Series | Links |

Quantum -2022-23 | 2022-23 |

## AKTU Important Links | Btech Syllabus

Link Name | Links |
---|---|

Btech AKTU Circulars | Links |

Btech AKTU Syllabus | Links |

Btech AKTU Student Dashboard | Student Dashboard |

AKTU RESULT (One VIew) | Student Result |