**Discrete Structures Notes:** It is a pleasure informing all of the BTech and Bachelor of computer applications (BCA) aspirants that RGPV notes have bought one other fantastic series ever produced online for their text students, who are stumbling upon all the Internet for best quality lecture notes to help them with their daily routine studies and online and offline exam preparation.

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- Discrete Structures Notes
- Discrete Structures Reference Books
- Discrete Structures Curriculum
- List of Discrete Structures Important Questions
- Most Common FAQs on Discrete Structures
- A Final Conclusion

## A Brief Introduction to Discrete Structures

In the definition itself, Discrete mathematics and structures deal with the objects that come in discrete bundles and groups, for example, one or two items. Discrete Structure is the study of analytical and mathematical structures that are fundamentally discrete, or well said that is not continuous.

Discrete Structures are the first mathematical course for a computer science student in the graduation of BTech and BCA, that slingshots them to begin thinking and creating real-life situations about the hurdles and problems in a way that human-made computer scan analysis and solve them.

It is no doubt known to every student that computers in every field deal in various creation objects and perform tasks in discrete steps. If a student gets an accurate knowledge of the Discrete Structures of the computer world and in the mathematical world, it will automatically help them analyze and solve algorithms and understand a wide area and range of computer science like programming languages and cryptography itself.

Speaking sarcastically, if any student hates them functioning and formulas and mechanics of mathematics. Many of the programmers in the outer world say yes to the students that higher-level mathematics is not required in programming.

It is where Discrete Structures in mathematics or computer science come into its work. It revolves around the areas of computers’ logical problems in today’s world and its relationship with mathematics. It hence deals with only that kind of mathematics that is useful for a programmer to work with it.

BTech- Discrete Structures notes and study material PDF free download. It brings us immense pleasure in informing the students who are pursuing their Bachelor and Computer Applications (BCA) and Bachelors and Technology (BTech). They can freely download and avail of the Discrete Structures notes and study material regularly updated in this itself.

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The details of the Discrete Structures program are brief as under:

The Discrete Structures course program

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### Discrete Structures Reference Books

Following is the list of highly rich books with information to the candidates who are looking out for a rich source of information and consulting books. These books are going to provide them with an excellent conceptual background in a straightforward way.

- Discrete mathematics: An Open Introduction (Oscar Leaf Inn,2015)
- Introductory Discrete Mathematics: V Balakrishnan, 1991
- Discrete Structures Logic and Computability: James Alhind, 1994
- Discrete Mathematics and its Application: Kenneth H Rosen, 1984
- Discrete Mathematics with Applications: usana ES Piuo,l 1990
- Discrete Structures: Satinder Bal Gupta, 2010
- Discrete Mathematics and Structures: Satinder Bal Gupta, 2008
- A short Course in Discrete Mathematics: S Gill Williamson, 2004

It is advised to the aspirants that they can freely avail of the best books according to their choice for Discrete Structures as per their tutors’ recommendation.

The following is a list of best and highly recommended books for Discrete Structures preparation. The aspirants can select the text according to their choice, which suits the best to their knowledge and desired preparation methods accordingly.

### Discrete Structures Detailed Curriculum

As per the most common suggestion by the experts in the field of Discrete Structures, the most accurate and suggested way of preparing for any target and aim in the area of Discrete Structures is to make your preparation effective by starting thought an initial idea of what are you going to do and keep the outline of the Discrete Structures syllabus on your fingertips.

RGPV notes, after keeping in their mind, the basic requirements of the students prepared a detailed view of the curriculum of Discrete Structures, which is very well organized in the table underneath

Unit |
Topics |

UNIT I | ● Set Theory
● Relation ● Function ● Theorem Proving Techniques: Set Theory ● Definition of Sets ● Countable and Uncountable Sets ● Venn Diagrams ● Proofs of some General Identities on Set Relations ● Description and Types of Relations ● Composition of Relations ● Pictorial Representation of Relation ● Equivalence Relation ● Partial Ordering Relation ● Job Scheduling Program Function and its Definition ● Types of Functions ● One to Two and into and onto Function ● Inverse Function ● Composition of Functions ● Recursively defined Functions ● Pigeon Hole Principle ● Theorem Proving Techniques of Mathematical Induction and Proof by Contradiction. |

UNIT II | ● Algebraic Structures Definitions, properties and types of Relations
● Semigroups ● Monoid ● Groups ● Abelian Group ● Properties of Groups ● Sub Group ● Cyclic Groups ● Cossets ● Factor Group ● Permutation Groups ● Normal SubGroup ● Homomorphism and Isomorphism of Groups ● Example and Standard Results ● Rings and fields and its definition and standard results |

UNIT III | ● Propositional logic
● A preposition and first-order logic ● Basic logical operation ● Truth tables ● Tautologies ● Contradictions ● Algebra of preposition ● Logical implications ● Logical equivalence ● Predicates ● Normal forms ● Universal and existential quantifiers ● Introduction to finite state machine finite state machines as models of physical system equivalence machines ● Finite state machines as language recognizers |

UNIT-IV | ● Graph theory and introduction and basic terminology of graphs
● Planar graphs ● Multigraphs and weighted graphs ● Isomorphic graphs ● Paths ● Cycles and connectivity ● Shortest path in the weighted graph ● Introduction to eulerian parts and circuits ● Hamiltonian paths and circuits ● Graph coloring ● Chromatic number ● Isomorphism and homomorphism of graphs |

UNIT V | ● Pockets
● Hassle diagram and lattices an introduction ● Ordered set ● Hassle diagram of partially an ordered set ● Isomorphic ordered set ● Well ordered set ● Properties of lattices ● Bounded and complemented lattices ● Combinatorics and its introduction ● Permutation and Combination ● Binomial theorem ● Multi Molien coefficients recurrence relation and generating function ● Introduction to recurrence relation and recursive algorithms ● Linear recurrence relations with constant coefficients ● Homogeneous solutions ● Particular solutions ● Total solutions ● Generating functions ● Solution by a method of generating functions |

The curriculum, which is regularly updated on the website, helps students get a clear vision of what they are preparing and what they will study. The unit-wise breakup gives them the topics they have to prepare for in every particular unit.

The aspirants are advised to go through all the topics in a broke down manner so that every unit seems easy at the end because the team is more significant. Still, if we break the issues into valid points, then it can be effortless and mind soothing to sit for the exam confidently.

The students who prepare from the free expert-written notes for Discrete Structures benefit from other students to prevent themselves from wasting unnecessary time on the same topics again and again on every other book.

The updated unit wise breakup of the Discrete Structures syllabus is as under:

### List of Discrete Structures Essential Questions

The aspirants pursuing their degree in Bachelor of Technology (BTech) are advised to go through this detailed list of most essential questions from the examination point of view in the Discrete Structures course program.

All of the mentioned questions are provided to the aspirants to boost their knowledge of the question paper pattern and help them excel in the real examination.

- State the principle of Strong Induction.
- How many permutations are there in the word MISSISSIPPI?
- State the PigeonHole principle.
- What is the number of arrangements of all the six letters in the word PEPPER?
- How many can all the letters in MATHEMATICAL be arranged?
- How many different bit strings are there of length SEVEN?
- Twelve students want to place an order of different ice creams in an ice cream parlor with six types of ice creams. Find the number of orders that twelve students can place.
- Find the recurrence relation for the Fibonacci sequence.
- How many permutations are there in the word MALAYALAM?

### FAQs on Discrete Structures notes

**Question 1**

What are the Discrete Structures?

**Answer:**

The Discrete Structure is the study of analytical and mathematical structures that are fundamentally discrete, or well said that is not continuous.

Discrete Structures are the first mathematical course for a computer science student in the graduation of BTech and BCA, that slingshots them to begin thinking and creating real-life situations about the hurdles and problems in a way that human-made computer scan analysis and solve them.

**Question 2.
**Can you help with a recommended list of books for Discrete Structures course ready-made notes?

**Answer:**

The following list of books are highly recommended authors for Discrete Structures program preparation. The aspirants are advised to select the books as per their convenience and level of preparation.

- Discrete mathematics: An Open Introduction (Oscar Leaf Inn,2015)
- Introductory Discrete Mathematics: V Balakrishnan, 1991
- Discrete Structures Logic and Computability: James Alhind, 1994
- Discrete Mathematics and its Application: Kenneth H Rosen, 1984
- Discrete Mathematics with Applications: usana ES Piuo,l 1990
- Discrete Structures: Satinder Bal Gupta, 2010
- Discrete Mathematics and Structures: Satinder Bal Gupta, 2008
- A short Course in Discrete Mathematics: S Gill Williamson, 2004

**Question 3.**

What is the importance of studying the Discrete Structures course program?

**Answer:
**As per most of the experts in this field, Discrete Structures help students who are average or outstanding in the mathematics field but do not find anything similar to the higher-level mathematics the same in the mathematics subject and similarity in computer science.

Discrete Structures knowledge comes in. It helps to make aspirants understand the practical concept of mathematics in computer science, and it has a positive influence on several industries in the market and the world.

People who get a professional degree in Discrete Structures can analyze and read any new system’s algorithms and provide the right solutions to even the programmers who don’t know about Discrete Structures.

Professionals in Discrete Structures can also help manage different networks for better livelihood in the field.

**Question 4.**

List a few of the essential and most important questions for Discrete Structures.

- State the principle of Strong Induction.
- How many permutations are there in the word MISSISSIPPI?
- State the PigeonHole principle.
- What is the number of arrangements of all the six letters in the word PEPPER?
- How many can all the letters in MATHEMATICAL be arranged?
- How many different bit strings are there of length SEVEN?
- Twelve students want to place an order of different ice creams in an ice cream parlor with six types of ice creams. Find the number of orders that twelve students can place.
- Find the recurrence relation for the Fibonacci sequence.
- How many permutations are there in the word MALAYALAM?

**Question 5.**

Where can I get Discrete Structures notes and study materials free PDF?

**Answer:**

The students can surely avail their Discrete Structures notes and study material in a very well-organized PDF with the help of direct links available on this page and our websites.

**Question 6.**

Yes, Discrete Structures notes are essential from the exam preparation point of view?

**Answer:**

Discrete Structures lecture notes and Discrete Structures reference books are essential for all computer science and technical students 2 to secure most of the marks in their respective exams.

It includes many essential questions from each concept and topic, model question papers prepared by experts, last year’s question papers from our archives, and topics explained well by our experts, and many more.

Right now, go and at the download button for the pdfs of Discrete Structures for BTech and BCA courses.

### Conclusion

With a proper grip in the subject of Discrete Structures and the respective information on this field, it is very much clear to our readers that how Discrete Structures is very much genuine and reliable, and above listed books and study materials helps aspirants to enhance their knowledge and understanding of this Jim subject during their preparation and also at the peak time of the examination.

The students are firmly advised to refer and practice from the above listed Discrete Structures books, Discrete Structures Study Materials, and Important Questions of Discrete Structures from this article.