what subjects are taught in an intro discrete math course

Discrete Mathematics Course description This course is an introduction to finite groups finite fields logic finite topology combinatorics and graph theory. A recurring theme of the course is the symmetry group of the regular icosahedron.

Full Answer

What subjects do I need to study in Discrete Math?

Discrete Mathematics Course description This course is an introduction to finite groups finite fields logic finite topology combinatorics and graph theory. A recurring theme of the course is the symmetry group of the regular icosahedron. Elementary category theory is introduced as a unifying principle.

What is discrete mathematics Coursera?

Dec 18, 2020 · Almost every CS program requires students to take a Discrete Mathematics course. The textbook covers most of the topics usually discussed in a Discrete Mathematics course such as Counting Techniques, Recurrence Relations, Set Theory, Logic, Graph Theory. There is a short section on Number Theory, too.

What are the topics covered in the book Discrete Math?

Discrete Math discusses a wide range of subjects. Some subjects you may want to review before you begin include number theory, graph theory, factorials, and proofs. If you have a understanding of mathematics through high school Algebra II, you should have the foundation of what is being studied. Prof. Benjamin will fill in the rest.

What is the best book to start with discrete mathematics?

The goal of this course is to build the mathematical foundation for computer science courses such as data structures, algorithms, relational and database theory, and for mathematics courses such as linear and abstract algebra, combinatorics, probability, logic and set theory, and number theory. Discrete Mathematics gives students the ability to understand Math language and …

What topics come under discrete mathematics?

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...

What is Intro to discrete math?

Discrete mathematics is mathematics that deals with discrete objects. Discrete objects are those which are separated from (not connected to/distinct from) each other. Integers (aka whole numbers), rational numbers (ones that can be expressed as the quotient of two integers), automobiles, houses, people etc.

What is covered in a discrete math course?

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 are the topics in discrete structures?

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.

Is discrete math like calculus?

"Discrete Math" is not the name of a branch of mathematics, like number theory, algebra, calculus, etc. Rather, it's a description of a set of branches of math that all have in common the feature that they are "discrete" rather than "continuous".Jun 29, 2013

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.Jun 4, 2010

What level of math is discrete mathematics?

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.

Where can you use apply discrete mathematics?

Principles of discrete mathematics are utilized in many courses in the MPCS, including Algorithms, Computer Architecture, Computer Systems, Databases, Distributed Systems, Functional Programing, Machine Learning, Networks, Computer Security, and Operating Systems.

What are examples of discrete mathematics?

Discrete mathematics is the study of mathematical structures that are countable or otherwise distinct and separable. Examples of structures that are discrete are combinations, graphs, and logical statements.

What are the two categories of discrete mathematics?

The various research domains included by Discrete Mathematics are graph and hypergraph theory, coding theory, block designs, the combinatorics, set theory, matroid theory, discrete geometry, matrices, discrete probability, and parts of cryptography.Nov 18, 2020

What is a discrete introduction?

Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado.

Where is the Discrete Mathematics textbook?

The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource.

What is discrete math?

Welcome to Discrete Mathematics, a subject that is off the beaten track that most of us followed in school but that has vital applications in computer science, cryptography, engineering, and problem solving of all types. Most of the mathematics taught after elementary school is aimed at...

What is the topic of Professor Benjamin's lecture?

In this introductory lecture, Professor Benjamin introduces you to the entertaining and accessible field of discrete mathematics. Survey the main topics you'll cover in the upcoming lectures—including combinatorics, number theory, and graph theory—and discover why this subject is off the beaten track of the continuous mathematics you studied in ...

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.

What is a CI-M course?

This is a Communication Intensive in the Major (CI-M) course, and thus includes a writing component.

What is MIT OpenCourseWare?

MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward.