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Discrete Mathematics

by

Coursera

This course on Discrete Mathematics teaches Discrete Mathematics fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile, it’s available in language.

#1

See all ranking

Discrete Mathematics

by

Coursera

This course on Discrete Mathematics teaches Discrete Mathematics fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile. This complete course is available in language.

#1

See all ranking

2 Modules

with Certifications

41+ Hours

of Recorded Content

3.2 Rated

by 52311 Learners

Language

2 Modules

with Certifications

41 + Hours

of Recorded Content

3.2 Rated

by 52311Learners

Read all Reviews

Language

What's in it for You?

Key Features:

Learn new concepts from professionals in the field.
Acquire a basic understanding of a topic or skill
Gain practical project experience to enhance employability.
Obtain a career certificate that can be shared.

Topics you will learn

  • Introduction - Basic Objects in Discrete Mathematics
    • 2 videos
      1. Introduction to the course
      2. Sets, Relations, Functions
    • 1 quiz
      1. Sets, relations, and functions
    • 2 peer reviews
      1. Exercises for introduction lesson
      2. Sets, Relations, Functions
  • Partial Orders
    • 2 videos
      1. Partial orderings: basic notions
      2. Mirsky's and Dilworth's Theorem
    • 1 quiz
      1. Partial orders, maximal and minimal elements, chains, antichains
    • 1 peer review
    • Enumerative Combinatorics
      • 3 videos
        1. How to Count Functions, Injections, Permutations, and Subsets
        2. Evaluating Simple Sums
        3. Pascal's Triangle
      • 1 quiz
        1. Counting Basic Objects
      • 1 peer review
      • The Binomial Coefficient
        • 3 videos
          1. Combinatorial Identities
          2. Estimating the Binomial Coefficient
          3. Excursion to Discrete Probability: Computing the Expected Minimum of k Random Elements from {1,...,n}
        • 1 quiz
          1. An Eagle's View of Pascal's Triangle
        • 2 peer reviews
          1. Combinatorial Identities
          2. Digging Into Pascal's Triangle
      • Asymptotics and the O-Notation
        • 1 video
          1. Asymptotics and the O( )-Notation
        • 1 quiz
          1. The Big-O-Notation
        • 2 peer reviews
          1. Basic Facts
          2. Classes that often occur in complexity theory
      • Introduction to Graph Theory
        • 3 videos
          1. Basic Notions and Examples
          2. Graph Isomorphism, Degree, Graph Score
          3. Graph Score Theorem
        • 1 quiz
          1. Graphs, isomorphisms, and the sliding tile puzzle
        • 2 peer reviews
          1. Graphs and Isomorphisms
          2. The Graph Score Theorem
      • Connectivity, Trees, Cycles
        • 3 videos
          1. Graphs and Connectivity
          2. Cycles and Trees
          3. An Efficient Algorithm for Isomorphism of Trees
        • 1 quiz
          1. Cycles and Trees
        • 2 peer reviews
          1. Cycles and Trees
          2. Spanning Tree Exchange Graph
      • Eulerian and Hamiltonian Cycles
        • 2 videos
          1. Eulerian Cycles
          2. Hamilton Cycles - Ore's and Dirac's Theorem
        • 1 quiz
          1. Hamiltonian Cycles and Paths
        • 1 peer review
        • Spanning Trees
          • 2 videos
            1. Minimum Spanning Trees
            2. The Number of Trees on n Vertices
          • 1 quiz
            1. Spanning Trees
          • 2 peer reviews
            1. Minimum Spanning Trees
            2. Counting Trees on n Vertices
        • Maximum flow and minimum cut
          • 2 videos
            1. Flow Networks, Flows, Cuts: Basic Notions and Examples
            2. Flow Networks: The Maxflow - Mincut Theorem
          • 1 quiz
            1. Network flow
          • 1 peer review
            1. Network Flows
        • Matchings in Bipartite Graphs
          • 3 videos
            1. Matchings in Bipartite Graphs - Basic Notions and an Algorithm
            2. Matchings in Bipartite Graphs: Hall's and König's Theorem
            3. Partial Orders: Dilworth's Theorem on Chains and Antichains
          • 1 peer review
            1. Matchings in Bipartite Graphs

        Course Offerings

        Certificate you will get

        Certificate Features

        Your certificate can be embedded on your own website or shared on social networking sites like LinkedIn.
        Employers can verify the legitimacy of each certificate using the special verification URL that is included with it.

        Pre Requsites

        Curious Mind to learn new concepts
        Strong internet connection

        After this Course

        Course is for

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        FAQ's

        • When will I have access to the lectures and assignments?
          Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option: The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
        • What will I get if I purchase the Certificate?
          When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
        • What is the refund policy?
          You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policyOpens in a new tab.
        • Is financial aid available?
          Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
        The course focuses on Discrete Mathematics. It covers fundamentals through 2 interactive modules designed for s.
        The course offers over 41 hours of recorded content.

        Yes, upon completing the course, you will receive a certification

        The course is currently available in .
        Curious Mind to learn new concepts & Strong internet connection

        The course is accessible on both web and mobile platforms.

        The original price of the course is ₹, but it’s currently available at a discounted price of ₹.
        To purchase this course you can click on the Enroll Now button it will redirect you to course page, and on that page you can buy Discrete Mathematics course.

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