what is a discrete math course

by Jaunita Rippin 8 min read

Broadly speaking, discrete math is math that uses discrete numbers, or integers, meaning there are no fractions or decimals involved. In this course, you'll learn about proofs, binary, sets, sequences, induction, recurrence relations, and more! We'll also dive deeper into topics you've seen previously, like recursion.

Full Answer

Why should I learn discrete mathematics?

[Advice] Remember to focus on one resource or you’ll be overwhelmed.

  • I’ve learnt how to break down problems into smaller parts.
  • How important problem solving is to programming.
  • How to find answers or directions to my unknowns
  • The absolute joy, happiness and satisfaction of solving a problem.
  • How to learn from someones else code who wrote your programme in less code.
  • And most of all linking to number 5, I love it.

How to learn Discrete Math?

  • to recall numerous formulae,
  • to apply them within a split second to given problem, and
  • to play around with data by extrapolating and intrapolating values given in a data set.

How difficult is discrete math?

Ways to make discrete easier

  • Plan the schedule for the semester early on. It is important to plan the entire semester out during the first week of classes. ...
  • Make sure to do well on the homework. ...
  • Prepare for it ahead of time. ...
  • Pick a well-reviewed professor. ...
  • Read the book before skipping to the problems. ...
  • Prioritize the material given to you by the professor. ...

How to pass in discrete mathematics?

How to Pass Your Discrete Mathematics Exam Online Exams and Class Help Service. MAT340 Discrete Math is a hands-on course which will assist you to incorporate discrete math into calculus without using examples in real-life situations. MAT340 is actually a full course of up to 65 minutes devoted to discrete math.

What is discrete math?

What is EdX course?

Why is mathematical logic important?

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Is discrete math easy or hard?

Discrete math is considered difficult because it demands strong analytical and problem-solving skills. Discrete math relies heavily on logic and proof. Most students find discrete math hard because they have not experienced anything like it before. Discrete math is essentially logic and abstract math problems.

Is discrete math a college course?

Discrete mathematics is a course that is typically taken at the college level by mathematics and computer science majors, so students will use this information in future advanced mathematics classes like Abstract Algebra, Real Analysis, or Complex Analysis.

Is discrete math different from calculus?

Calculus is inherent in every other subject, even discrete structures. Discrete mathematics comes in mind. But calculus is already inherent in discrete mathematics. Combinatorics, set theory or graph theory are usually core elements in a discrete math course.

Is discrete math good for college?

This means that in order to learn the fundamental algorithms used by computer programmers, students will need a solid background in these subjects. Indeed, at most universities, a undergraduate-level course in discrete mathematics is a required part of pursuing a computer science degree.

Do you need calculus for discrete math?

Often undergraduate discrete math classes in the US have a calculus prerequisite. Here is the description of the discrete math course from my undergrad: A general introduction to basic mathematical terminology and the techniques of abstract mathematics in the context of discrete mathematics.

Is discrete math useful?

Discrete Mathematics provides an essential foundation for virtually every area of computer science, and its applications are correspondingly vast. At the most fundamental level, all of a computer's data is represented as bits (zeros and ones).

Is discrete math algebra?

"Discrete Math" is not the name of a branch of mathematics, like number theory, algebra, calculus, etc.

What is an example of discrete math?

One example is scheduling games for a professional sports league. An analog clock has gears inside, and the sizes/teeth needed for correct timekeeping are determined using discrete math. Wiring a computer network using the least amount of cable is a minimum-weight spanning tree problem.

What topics are covered in discrete math?

Subjects in discrete mathematicsLogic – a study of reasoning.Set theory – a study of collections of elements.Number theory –Combinatorics – a study of Counting.Finite mathematics – a course title.Graph theory – a study of graphs.Digital geometry and digital topology.Algorithmics – a study of methods of calculation.More items...

Is discrete math harder than linear algebra?

Linear algebra is harder than discrete math. Discrete math is typically a first-year course and is not as abstract or complex as linear algebra. Linear algebra is usually taught in the second year of most STEM majors and requires strong analytical and reasoning skills which makes it harder than discrete math.

Is discrete math taught in high school?

Sadly, despite its application in higher education and many careers and fields, Discrete Mathematics is seldom taught in the USA high schools, for the unfortunate reason that it is not covered in the SAT examinations.

What are the reasons of studying discrete mathematics?

Here are a few reasons why we study discrete mathematics:To develop our ability to understand and create mathematical arguments.To provide the mathematical foundation for advanced mathematics and computer science courses.

Free Discrete Mathematics Course

Free Online Course: Discrete Mathematics From Coursera . Mathematical 1600+ Coursera Courses That Are Still Completely Free Discrete mathematics forms the mathematical foundation of computer and information science. It is also a fascinating subject in itself. Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent ...

10 Best Discrete Mathematics Courses [2022 JUNE] [UPDATED]

A global team of 20+ experts have conducted research and compiled this comprehensive list of 5 best discrete mathematics courses, tutorial, classes,

Where can I learn discrete math online? - Quora

Answer: I recently answered a similar question so I will just repeat myself here: The best resource to learn math online (or anywhere in my opinion) is Khan Academy where you can learn anything from kindergarden math to advanced applied university math (like multivariable calculus, differential ...

Discrete Mathematics Part 1 | Great Learning

Discrete mathematics is the branch of Mathematics concered with non continous values. It forms the basis of various concepts such as compiler programming,machine learning, AI etc,. But in order to understand those we first need to familiarize ourselves with the basics of discrete mathematics. SO to achieve that goal, let us take our first foray into this field and look into Set, Relation, and ...

Discrete Mathematics - Course

Neeldhara Misra is an Assistant Professor of Computer Science and Engineering at the Indian Institute of Technology, Gandhinagar. Her primary research interest involves the design and analysis of efficient algorithms for “hard” problems in general, and parameterized algorithms in particular.

Discrete Mathematics | Udemy

Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach.

What is discrete math?

Discrete Mathematics is a branch of mathematics that deals with separable and distinct numbers. Combinations, graph theory, and logical statements are included, and numbers can be finite or infinite. It's used in computer science to design the apps and programs we use every day.

What is EdX course?

EdX offers courses in partnership with leaders in the mathematics fields so that you have the skills you need to get started on your career path. Explore what edX has to offer and reignite your love of mathematics.

Why is mathematical logic important?

If you're working in the tech field or are merely interested in mathematics, courses designed to improve your skills are critical. Understanding continuous mathematics and discrete helps you develop programs for the real world.

Why is discrete mathematics important?

With the growth of digital devices, especially computers, discrete mathematics has become more and more important. Discrete structures can be counted, arranged, placed into sets, and put into ratios with one another.

What makes discrete mathematics interesting and challenging?

Often, what makes discrete mathematics problems interesting and challenging are the restrictions that are placed on them. Although the field of discrete mathematics has many elegant formulas to apply, it is rare that a practical problem will fit perfectly to a specific formula.

What is discrete distribution?

A discrete probability distribution is a function that takes a numerical outcome as an argument and gives a probability as a result. Discrete probability distributions can be created using the rules and guidelines described above. There are also some discrete probability distributions that show up in many problems: 1 Geometric Distribution: Given repeated trials in which the probability of success is the same each time, this gives the probability that the first success will occur on a certain trial. Example: You roll a dice until you roll a 6. What is the probability that the first 6 will occur on the third roll? 2 Binomial Distribution: Given a certain number of trials in which the probability of success is the same each time, this gives the probability of a certain number of successes. Example: You flip a coin 10 times. What is the probability that there will be exactly 5 heads? 3 Poisson Distribution: Given a time period in which an event occurs a certain average number of times, this gives the probability that the event will occur a specific number of times. Example: A fast food drive-through gets 3 customers per minute. What's the probability they will get 4 customers in the next minute?

What is the difference between a probability and a discrete probability?

Discrete probability is a probability based on discrete sets of outcomes. The most basic type of probability is a uniform probability.

What is an arrangement in math?

In this context, an arrangement is a way objects could be grouped. The most basic rules regarding arrangements are the rule of product and the rule of sum. These rules govern how to count arrangements using the operations of multiplication and addition, respectively. Submit your answer.

Can probability be extended to continuous sets?

Although basic probabilities are based on discrete sets, the concept of probability can be extended to continuous sets by using concepts from calculus. Submit your answer. A point is marked at random on a unit line segment. Find the expected value of the sum of the squares of the lengths of the two parts.

Is discrete math finite?

Discrete structures can be finite or infinite. Discrete mathematics is in contrast to continuous mathematics, which deals with structures which can range in value over the real numbers, or have some non-separable quality.

What is discrete object?

Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as the natural numbers). However, there is no exact definition of the term "discrete mathematics.".

Why are graphs considered discrete?

Graphs like this are among the objects studied by discrete mathematics, for their interesting mathematical properties, their usefulness as models of real-world problems, and their importance in developing computer algorithms. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.

What is the difference between analytic and enumerative combinatorics?

the twelvefold way provides a unified framework for counting permutations, combinations and partitions . Analytic combinatorics concerns the enumeration (i.e., determining the number) of combinatorial structures using tools from complex analysis and probability theory. In contrast with enumerative combinatorics which uses explicit combinatorial formulae and generating functions to describe the results, analytic combinatorics aims at obtaining asymptotic formulae . Design theory is a study of combinatorial designs, which are collections of subsets with certain intersection properties. Partition theory studies various enumeration and asymptotic problems related to integer partitions, and is closely related to q-series, special functions and orthogonal polynomials. Originally a part of number theory and analysis, partition theory is now considered a part of combinatorics or an independent field. Order theory is the study of partially ordered sets, both finite and infinite.

What is finite mathematics?

The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business.

What is the study of complexity in computer science?

Complexity studies the time taken by algorithms, such as this sorting routine. Theoretical computer science includes areas of discrete mathematics relevant to computing. It draws heavily on graph theory and mathematical logic. Included within theoretical computer science is the study of algorithms and data structures.

What is set theory?

Set theory is the branch of mathematics that studies sets, which are collections of objects, such as {blue, white, red} or the (infinite) set of all prime numbers. Partially ordered sets and sets with other relations have applications in several areas.

Is graph theory discrete or algebraic?

In mathematics, they are useful in geometry and certain parts of topology, e.g. knot theory. Algebraic graph theory has close links with group theory. There are also continuous graphs; however, for the most part, research in graph theory falls within the domain of discrete mathematics.

1. Discrete Mathematics Certification Course (Coursera)

Designed by UC San Diego and Higher School of Economics, this program will teach you Discrete Mathematics techniques and ideas that are used in interactive puzzles. It is useful for all those who are financial analysts, security analysts, data scientists, and software engineers. To join this class, there is no experience required.

2. Master Discrete Mathematics: Sets, Math Logic, and More (Udemy)

If you want to master discrete mathematics, then look no further. Available on Udemy, this comprehensive program will help you learn and master the complex problems of discrete maths – combinatorics, set theory, proofs, logic and more. In this course, more than 1000 students have already enrolled.

3. Discrete Math Series : Set Theory & Algebra Masterclass (Udemy)

This online course available on Udemy has been created by Vignesh Sekar who is a good computer science instructor and software engineer. Throughout this training, he will teach you how to master discrete mathematics, algebra and set theory. This program covers a range of advanced topics of Discrete mathematics like functions and group theory.

4. Master Discrete Mathematics: Set Theory (Udemy)

If you want to learn set theory fundamentals, then this online course will help you to enhance your skills that are needed to do well in Mathematics. It is specially designed for maths majors, undergraduate computer scientists, and all those having keen interest in maths fundamentals.

5. Programming Foundations: Discrete Mathematics (LinkedIn Learning)

Perfect for intermediate learners, this free online training will help you learn the basics of discrete mathematics. It is designed by Peggy Fisher who is a full-time author at Lynda. Throughout this course, she will teach you how to analyze data sequences, write truth tables and proof, manipulate data sets, and visualize data using graph theory.

6. Discrete Mathematics Online College Course (University of North Dakota)

This area of mathematics plays an important role in computer science, game theory, and more. In this program, you will go through the key topics that form the building blocks of repeatedly appearing problems throughout your career.

7. Discrete Mathematics Courses (edX)

Check out the certifications on this platform to find learning materials taught by some top academic experts worldwide. If you are a novice to the subject, you can begin by familiarizing yourself with these mathematical structures and the core concepts behind them.

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You have actually simply come across one of the most thorough Discrete Mathematics program collection online. With over 15,000 trainees signed up and also countless 5 celebrity assesses to day in the location of computer technology, my computer technology programs are appreciated by pupils from 130 nations.

What is discrete math?

Discrete Mathematics is a branch of mathematics that deals with separable and distinct numbers. Combinations, graph theory, and logical statements are included, and numbers can be finite or infinite. It's used in computer science to design the apps and programs we use every day.

What is EdX course?

EdX offers courses in partnership with leaders in the mathematics fields so that you have the skills you need to get started on your career path. Explore what edX has to offer and reignite your love of mathematics.

Why is mathematical logic important?

If you're working in the tech field or are merely interested in mathematics, courses designed to improve your skills are critical. Understanding continuous mathematics and discrete helps you develop programs for the real world.

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What Is Discrete Mathematics?

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Discrete Mathematics is a branch of mathematics that deals with separable and distinct numbers. Combinations, graph theory, and logical statements are included, and numbers can be finite or infinite. It's used in computer science to design the apps and programs we use every day. While there are no hard and fast definition…
See more on edx.org

Learn Discrete Mathematics

  • You may have already studied discrete probability and not known how important it is to tech development. Applied mathematics can be a critical skill for employers who design the technology we use every day, so brushing up on that number theory could improve your problem-solving skills and make you highly marketable. EdX offers courses in partnership with leaders in …
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Discrete Mathematics Courses and Certifications

  • EPFL offers an introduction to discrete mathematics modeling designed to get you started with these mathematical structures. You'll learn how to predict behavior using mathematics with proof techniques and probability theory. You can also study probability more in-depth with courses from MIT and Purdue. You'll take probability theory even further within concrete mathematics and us…
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Enhance Your Career with Discrete Mathematics

  • The world of mathematical logic is wide open to help with technological advancement. If you're working in the tech field or are merely interested in mathematics, courses designed to improve your skills are critical. Understanding continuous mathematics and discrete helps you develop programs for the real world. Your career prospects improve as your understanding expands. The…
See more on edx.org

Overview

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes to…

Grand challenges, past and present

The history of discrete mathematics has involved a number of challenging problems which have focused attention within areas of the field. In graph theory, much research was motivated by attempts to prove the four color theorem, first stated in 1852, but not proved until 1976 (by Kenneth Appel and Wolfgang Haken, using substantial computer assistance).

Topics in discrete mathematics

Theoretical computer science includes areas of discrete mathematics relevant to computing. It draws heavily on graph theory and mathematical logic. Included within theoretical computer science is the study of algorithms and data structures. Computability studies what can be computed in principle, and has close ties to logic, while complexity studies the time, space, and other resourc…

See also

• Outline of discrete mathematics
• Cyberchase, a show that teaches Discrete Mathematics to children

Further reading

• Norman L. Biggs (2002-12-19). Discrete Mathematics. Oxford University Press. ISBN 978-0-19-850717-8.
• John Dwyer (2010). An Introduction to Discrete Mathematics for Business & Computing. ISBN 978-1-907934-00-1.
• Susanna S. Epp (2010-08-04). Discrete Mathematics With Applications. Thomson Brooks/Cole. ISBN 978-0-495-39132-6.

External links

• Media related to Discrete mathematics at Wikimedia Commons
• Discrete mathematics at the utk.edu Mathematics Archives, providing links to syllabi, tutorials, programs, etc.
• Iowa Central: Electrical Technologies Program Discrete mathematics for Electrical engineering.