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Online Course

Discrete Mathematics (IITG)

Indian Institute of Technology Guwahati and NPTEL via Swayam

11

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Overview

Discrete Mathematics is the study of discrete objects as opposed to continuous objected like real numbers. The discrete objects like proofs, sets, graphs, colorings, algebraic structures, algorithms etc. These object arise naturally and frequently in many areas of mathematics and computer science and are fundamental in an undergraduate curriculum of computer science and mathematics. In this course, we will focus on Logic, Set Theory, Number Theory, Algebraic Structures, Combinatorics and Graph Theory. INTENDED AUDIENCE: UG students interested in computer science, combinatorics, etc. PRE-REQUISITES: NIL

Syllabus

COURSE LAYOUT

WEEK 1: Mathematical Logic
WEEK 2: Mathematical Logic
WEEK 3: Set Theory
WEEK 4: Set Theory,Number Theory
WEEK 5: Number Theory
WEEK 6: Algebraic Structures
WEEK 7: Algebraic Structures
WEEK 8: Recurrences
WEEK 9: Recurrences,Combinatorics
WEEK 10: Combinatorics
WEEK 11: Graph Theory
WEEK 12:Graph Theory

Taught by

Prof. Sajith Gopalan and Prof. Benny George K

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