# InfoCoBuild

## Higher Engineering Mathematics

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)

 Introduction

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

 References Higher Engineering Mathematics 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.