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Last updated:

September 23, 2023

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

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Certificate of completion

Unlimited Duration

Description

Higher Engineering Mathematics (Prof. P. N. Agrawal, IIT Roorkee). Instructor: Prof. P. N. Agrawal, Department of Mathematics, IIT Roorkee.

This course is a basic course offered to UG/PG students of Engineering/Science background. It consists of four main topics : 1) Discrete mathematics, 2) Graph theory, 3) Linear programming problems, and 4) Queuing theory. (from nptel.ac.in)

Course Curriculum

  • Lecture 01 – Symbolic Representation of Statements I Unlimited
  • Lecture 02 – Symbolic Representation of Statements II Unlimited
  • Lecture 03 – Tautologies and Contradictions Unlimited
  • Lecture 04 – Predicates and Quantifiers I Unlimited
  • Lecture 05 – Predicates and Quantifiers II Unlimited
  • Lecture 06 – Validity of Arguments Unlimited
  • Lecture 07 – Language and Grammars I Unlimited
  • Lecture 08 – Language and Grammars II Unlimited
  • Lecture 09 – Language and Grammars III Unlimited
  • Lecture 10 – Finite-State Machines Unlimited
  • Lecture 11 – Partially Ordered Sets I Unlimited
  • Lecture 12 – Partially Ordered Sets II Unlimited
  • Lecture 13 – Partially Ordered Sets III Unlimited
  • Lecture 14 – Lattices I Unlimited
  • Lecture 15 – Lattices II Unlimited
  • Lecture 16 – Lattices III Unlimited
  • Lecture 17 – Lattices IV Unlimited
  • Lecture 18 – Lattices V Unlimited
  • Lecture 19 – Boolean Algebra I Unlimited
  • Lecture 20 – Boolean Algebra II Unlimited
  • Lecture 21 – Boolean Algebra III Unlimited
  • Lecture 22 – Boolean Algebra IV Unlimited
  • Lecture 23 – Logic Gates Unlimited
  • Lecture 24 – Karnaugh Map I Unlimited
  • Lecture 25 – Karnaugh Map II Unlimited
  • Lecture 26 – Various Types of Graphs I Unlimited
  • Lecture 27 – Various Types of Graphs II Unlimited
  • Lecture 28 – Paths and Connectivity Unlimited
  • Lecture 29 – Subgraphs and Traversable Multigraphs Unlimited
  • Lecture 30 – Undirected and Directed Graphs Unlimited
  • Lecture 31 – Eulerian and Hamiltonian Graphs Unlimited
  • Lecture 32 – Planar Graphs Unlimited
  • Lecture 33 – Representation of Graphs Unlimited
  • Lecture 34 – Isomorphic and Homeomorphic Graphs Unlimited
  • Lecture 35 – Kuratowski’s Theorem Unlimited
  • Lecture 36 – Dual of a Graph Unlimited
  • Lecture 37 – Coloring of Graphs I Unlimited
  • Lecture 38 – Coloring of Graphs II Unlimited
  • Lecture 39 – Trees I Unlimited
  • Lecture 40 – Trees II Unlimited
  • Lecture 41 – Graphical Method I Unlimited
  • Lecture 42 – Graphical Method II Unlimited
  • Lecture 43 – General Linear Programming Problem Unlimited
  • Lecture 44 – Simplex Method I Unlimited
  • Lecture 45 – Simplex Method II Unlimited
  • Lecture 46 – Big-M Method I Unlimited
  • Lecture 47 – Big-M Method II (Special Cases) Unlimited
  • Lecture 48 – Two Phase Method I Unlimited
  • Lecture 49 – Two Phase Method II Unlimited
  • Lecture 50 – Duality I Unlimited
  • Lecture 51 – Duality II Unlimited
  • Lecture 52 – Dual Simplex Method Unlimited
  • Lecture 53 – Transportation Problem I Unlimited
  • Lecture 54 – Transportation Problem II Unlimited
  • Lecture 55 – Assignment Problem I Unlimited
  • Lecture 56 – Assignment Problem II Unlimited

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