what is a discrete structures course about

The discrete mathematical structure course will help you to deal with complex puzzles that you will face in corporate life. In this course, we have included the introduction to discrete structure from the basics and you will reach up to intermediate modules. You will learn how to think and write mathematically.

Full Answer

What is the importance of discrete structures?

• A. Purkiss 2014, Lecture 1: Course Introduction and Numerical Representation, Birkbeck University.
• B. Miller and D. Ranum 2013. ...
• Berztiss, A. (1987). ...
• Copi, I. M. ...
• Core-Plus Mathematics Project 2014: Discrete Mathematics available at http://www.wmich.edu/cpmp/parentresource/discrete.html [accessed on 25.01.14]

What are discrete structures?

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete spaces in topology in which all points are isolated from each other) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic.

What are discrete structures in Computer Science?

discrete structure A set of discrete elements on which certain operations are defined. The term discrete structure covers many of the concepts of modern algebra, including integer arithmetic, monoids, semigroups, groups, graphs, lattices, semirings, rings, fields, and subsets of these. What is discrete in computer science?

What are discrete math structures?

• About Applied Discrete Stuctures: Applied Discrete Stuctures by Al Doerr and Ken Levasseur is a free open content textbook. ...
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• Blog: Subscribe to the Applied Discrete Structures Blog to keep up to date on the progress of this project.

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What do you learn in a discrete structures class?

The major topics we cover in this course are single-membership sets, mathematical logic, induction, and proofs. We will also discuss counting theory, probability, recursion, graphs, trees, and finite-state machines. Understanding the terms "single-membership" and "discrete" are important as you begin this course.

What is taught in discrete structures computer science?

CS 0441 Discrete Structures for Computer Science is a mathematics course which focuses on the study of mathematical structures that are discrete rather than continuous. This means that the objects within the mathematical structures that you'll learn about are distincly separated values.

What are discrete structures used for?

In recent decades, discrete mathematics has numerous applications in computer science, it is used in programming languages, software development, cryptography, algorithms etc. It includes various topics such as graph theory, set theory, probability theory and many more.

What is meant by discrete structure?

discrete structure A set of discrete elements on which certain operations are defined. Discrete implies noncontinuous and therefore discrete sets include finite and countable sets but not uncountable sets such as the real numbers.

Are discrete structures easy?

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.

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 computer science hard?

Computer science is a relatively unforgiving field; especially when it comes to programming. As you're creating a program, you'll need to pay extremely close attention to detail, because any little mistakes you make can cause the program to fail.

What kind of math is discrete math?

Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values.

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.

What do you study in discrete mathematics?

Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry.

What level is discrete math?

undergraduate levelDiscrete math — together with calculus and abstract algebra — is one of the core components of mathematics at the undergraduate level. Students who learn a significant quantity of discrete math before entering college will be at a significant advantage when taking undergraduate-level math courses.

What is taught in discrete mathematics?

Discrete Mathematics. Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. Logic. Logic is the formal mathematical study of the methods, structure, and validity of mathematical deduction and proof.

Academic Integrity

You are responsible for reading and understanding the DCS Academic Integrity Policy. Read the overview as well as the specific policies for exams. Instances of cheating will be punished by a zero grade, a failing grade for the course, and/or referral to your dean, at the discretion of the course staff.

Regrades

For written assignments, quizzes and exams, you have one week after the grades are released to ask for a regrade. Only ask for a regrade if you think there was a grading error, do not request a regrade simply because you think you deserve more partial credit.

Canvas

Canvas is a course management tool that will be used to keep students scores and send out announcements. Once registered to the course you will be automatically added to Canvas. Use your Rutgers credentials to login.

Exams

There will be 1 section midterm (250 points) and 1 common final exam (250 points) for all sections.

Grading

Your grade is computed out of 1000 points. The donut chart to the right has the distribution of the 1000 points among problem sets/homework/quizzes (500 points), midterm (250 points) and final exam (250 points). There will be 100 points for extra credit as determined by each section instructor.

This free online course introduces you to the elements of mathematics that form the basis of computer science

This free online course introduces you to the elements of mathematics such as sets, functions and relations that form the basis of computer science.

Certification

All Alison courses are free to enrol, study and complete. To successfully complete this Diploma course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment.

Course Administration

We are using the course management system, CMS . Please login to http://cms.csuglab.cornell.edu/ and check whether you are registered. There will be a list of courses you are registered for, and Com S 2800 should be one of them. If not, please send your full name and Cornell netid to Maria so he can register you. You can check your grades in CMS.

Homework Policy

You are free to collaborate with other students on the homework, but you must turn in your own individually written solution and you must specify the names of your collaborators. It is a violation of this policy to submit a problem solution that you are unable to explain orally to a member of the course staff.

What is the most distinguishing characteristic of mathematics?

Perhaps the most distinguishing characteristic of mathematics is its reliance on logic.Explicit training in mathematical logic is essential to a mature understanding ofmathematics. Familiarity with the concepts of logic is also a prerequisite to studyinga number of central areas of computer science, including databases, compilers, andcomplexity theory.

What is the most intuitive proof technique?

We should not forget perhaps the most intuitive proof technique of all: the directone. Direct proofs start out with our shared knowledge base and, by a sequence oflogical derivations, reach the conclusion that needs to be proved. Such proofs areoften particularly ingenious and surprising.

Can negation be pushed inside?

This means that in a negated implication, the negation can be “pushed inside”,somewhat like with quantifiers. In fact, similar equivalences exist for other negatedcompound statements, as can be verified using truth tables (do it!):