Discrete Mathematical Structure for BCA 5th Semester PU
Discrete Mathematical Structure for BCA 5th Semester PU
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Precize Discrete Mathematical Structure, authored by G.S. Sandhu, Sukhpal Singh, and Daljit Kaur, is an essential book for BCA 3rd Year students at Panjab University, Chandigarh. This comprehensive guide delves into key concepts of discrete mathematics, including set theory, graph theory, recursion, and algorithm analysis. Written with clarity and precision, the book features illustrative examples and practical applications that enhance learning and comprehension. With its student-centered approach, this book not only prepares you for academic success but also equips you with vital skills applicable in computer science and software development.
Discover the intricate world of discrete mathematics with Precize Discrete Mathematical Structure, a definitive book tailored for BCA 3rd Year students at Panjab University, Chandigarh. Authored by renowned scholars G.S. Sandhu, Sukhpal Singh, and Daljit Kaur, this book serves as a comprehensive guide designed to enhance your understanding of core concepts essential for your academic and professional journey in computer science.
In today’s technologically driven world, a solid foundation in discrete mathematics is crucial for success in various fields, including algorithm design, data analysis, and computer programming. Precize Discrete Mathematical Structure empowers students with the analytical skills needed to navigate complex mathematical challenges. The authors have meticulously crafted each chapter to provide clarity and coherence, ensuring that even the most challenging topics are accessible.
At the heart of this book lies a deep dive into essential topics such as set theory, relations and functions, recursion, graph theory, automata theory, and algorithm analysis. Each of these areas is interwoven to demonstrate their interdependencies and applications in real-world problems. For instance, understanding set theory not only lays down the groundwork for operations involving logical constructs but also prepares students for exploring functions and relations, which are pivotal in programming and database management.
As students delve deeper into the text, they will encounter recursion and recurrence relations, concepts that are essential for algorithmic thinking. The authors provide numerous examples and practical applications to illustrate how these concepts can be utilized in coding and software development, making this book an indispensable resource for any BCA student.
The exploration of graph theory offers a fascinating insight into how data is structured and navigated, enabling students to grasp the importance of vertices and edges in solving complex problems related to network design and connectivity. Automata theory further enhances this understanding by introducing students to computational models, which are crucial for understanding programming languages and the limits of computation.
One of the standout features of Precize Discrete Mathematical Structure is its focus on the analysis of algorithms. Students will learn how to evaluate the efficiency and performance of algorithms, a vital skill in today’s fast-paced technological landscape where effective data management and problem-solving are paramount.
What sets this book apart is not just its rigorous academic content but also its commitment to student comprehension. The authors have employed a reader-friendly approach, integrating illustrations, examples, and practice problems throughout each chapter.
This book is specifically designed for BCA 3rd Year students at Panjab University, Chandigarh, focusing on discrete mathematics concepts essential for their academic success in computer science.
Q2
What topics are covered in this book?
A2
The book delves into a variety of topics including Set Theory, Relations and Functions, Recursion and Recurrence Relations, Graph Theory, Automata Theory, and Analysis of Algorithms.
Q3
How does this book facilitate understanding of complex topics?
A3
The authors have crafted the content in a reader-friendly manner, incorporating illustrations, examples, and practice problems that break down complex concepts into more digestible parts.
Q4
Are there practical applications included in the book?
A4
Yes! The book provides numerous examples and practical applications, particularly in coding and software development, making it easier for students to see the real-world relevance of the mathematical principles discussed.
Q5
What are the internal and external marking schemes for assessments?
A5
The syllabus includes external marks totaling 65, and internal marks of 10, for a comprehensive assessment of students' understanding.
Q6
How is the examination structured?
A6
The question paper will include four sections with a total of nine questions: two from each section and one compulsory short answer question covering the entire syllabus.
Q7
What are the types of questions students can expect?
A7
Students will encounter a mix of theoretical questions and practical problem-solving that requires applying the concepts learned throughout the course.
Q8
Can this book be used for self-study?
A8
Absolutely! While it is targeted at BCA students, the structured approach and clarity of explanations make it suitable for anyone interested in enhancing their understanding of discrete mathematics.
Q9
How does this book connect discrete mathematics to programming?
A9
The book emphasizes the importance of concepts like recursion, complexity analysis, and graph theory in programming and algorithm design, equipping students with the analytical skills necessary for the tech world
Q10
Is there any supplementary material available with the book?
A10
This information isn’t specified in the provided description, so it would be best to check with the publisher or on the sale platform if supplementary materials, like exercise solutions or online resources, are included.
Q11
Who are the authors of this book?
A11
The authors are renowned scholars G.S. Sandhu, Sukhpal Singh, and Daljit Kaur, known for their expertise in discrete mathematics and computer science education.
Q12
Where can I purchase this book?
A12
The book is published by VK Global Publishers, and it may be available at major bookstores, online platforms, or through academic institutions affiliated with the BCA program.
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1.Set theory (Page no.1-58)
2.Relations and functions (Page no. 59-197)
3.Recursion and Recurrence Relations (Page no.198-287)
4.Graph Theory (Page no.288-437)
5.Automata theory (Page no. 438-522)
6.Analysis of Algorithm (Page no. 523-546)
External Marks : 65
Internal marks : 10
Number of Lectures : 60
Note :
(i) The Question paper will consist of four sections.
(ii) Examiner will set total of NINE questions comprising TWO questions from each section and ONE Compulsory question of short answer type covering whole syllabi.
(iii) The students are required to attempt ONE question from each section and the compulsory question.
(iv) All questions carry equal marks unless specified.
Section - A
Set theory : Relations and functions : Set Notation and Description, Subset, basic, set operations, Venn Diagrams, laws of set theory, partitions of sets, duality principle, basic definitions of relations and functions, graphics of relations, of relations : injectives, surjective and bijective functions compositions.
Section - B
Recurrence : Recurrence relations and recursive algorithms - linear-recurrence relations with constant coefficients ; Homogeneous solutions : Particular solutions : Particular solution, total solution, solution by the method of Generating functions.
Section - C
Graph theory : Graph and planar graphs - Basic terminology, Multi-graphs, Weighted graphs, Paths and circuits, Shortest paths, Eulerian paths and circuits. Traveling salesman problem, planar graphs.
Section - D
Automata Theory : Finite state machines-Equivalent machines, Finite state machines as language recognizers; Analysis of algorithms - Time Complexity of Problems.
Discover the intricate world of discrete mathematics with Precize Discrete Mathematical Structure, a definitive book tailored for BCA 3rd Year students at Panjab University, Chandigarh. Authored by renowned scholars G.S. Sandhu, Sukhpal Singh, and Daljit Kaur, this book serves as a comprehensive guide designed to enhance your understanding of core concepts essential for your academic and professional journey in computer science.
In today’s technologically driven world, a solid foundation in discrete mathematics is crucial for success in various fields, including algorithm design, data analysis, and computer programming. Precize Discrete Mathematical Structure empowers students with the analytical skills needed to navigate complex mathematical challenges. The authors have meticulously crafted each chapter to provide clarity and coherence, ensuring that even the most challenging topics are accessible.
At the heart of this book lies a deep dive into essential topics such as set theory, relations and functions, recursion, graph theory, automata theory, and algorithm analysis. Each of these areas is interwoven to demonstrate their interdependencies and applications in real-world problems. For instance, understanding set theory not only lays down the groundwork for operations involving logical constructs but also prepares students for exploring functions and relations, which are pivotal in programming and database management.
As students delve deeper into the text, they will encounter recursion and recurrence relations, concepts that are essential for algorithmic thinking. The authors provide numerous examples and practical applications to illustrate how these concepts can be utilized in coding and software development, making this book an indispensable resource for any BCA student.
The exploration of graph theory offers a fascinating insight into how data is structured and navigated, enabling students to grasp the importance of vertices and edges in solving complex problems related to network design and connectivity. Automata theory further enhances this understanding by introducing students to computational models, which are crucial for understanding programming languages and the limits of computation.
One of the standout features of Precize Discrete Mathematical Structure is its focus on the analysis of algorithms. Students will learn how to evaluate the efficiency and performance of algorithms, a vital skill in today’s fast-paced technological landscape where effective data management and problem-solving are paramount.
What sets this book apart is not just its rigorous academic content but also its commitment to student comprehension. The authors have employed a reader-friendly approach, integrating illustrations, examples, and practice problems throughout each chapter.
1.Set theory (Page no.1-58)
2.Relations and functions (Page no. 59-197)
3.Recursion and Recurrence Relations (Page no.198-287)
This book is specifically designed for BCA 3rd Year students at Panjab University, Chandigarh, focusing on discrete mathematics concepts essential for their academic success in computer science.
Q2
What topics are covered in this book?
A2
The book delves into a variety of topics including Set Theory, Relations and Functions, Recursion and Recurrence Relations, Graph Theory, Automata Theory, and Analysis of Algorithms.
Q3
How does this book facilitate understanding of complex topics?
A3
The authors have crafted the content in a reader-friendly manner, incorporating illustrations, examples, and practice problems that break down complex concepts into more digestible parts.
Q4
Are there practical applications included in the book?
A4
Yes! The book provides numerous examples and practical applications, particularly in coding and software development, making it easier for students to see the real-world relevance of the mathematical principles discussed.
Q5
What are the internal and external marking schemes for assessments?
A5
The syllabus includes external marks totaling 65, and internal marks of 10, for a comprehensive assessment of students' understanding.
Q6
How is the examination structured?
A6
The question paper will include four sections with a total of nine questions: two from each section and one compulsory short answer question covering the entire syllabus.
Q7
What are the types of questions students can expect?
A7
Students will encounter a mix of theoretical questions and practical problem-solving that requires applying the concepts learned throughout the course.
Q8
Can this book be used for self-study?
A8
Absolutely! While it is targeted at BCA students, the structured approach and clarity of explanations make it suitable for anyone interested in enhancing their understanding of discrete mathematics.
Q9
How does this book connect discrete mathematics to programming?
A9
The book emphasizes the importance of concepts like recursion, complexity analysis, and graph theory in programming and algorithm design, equipping students with the analytical skills necessary for the tech world
Q10
Is there any supplementary material available with the book?
A10
This information isn’t specified in the provided description, so it would be best to check with the publisher or on the sale platform if supplementary materials, like exercise solutions or online resources, are included.
Q11
Who are the authors of this book?
A11
The authors are renowned scholars G.S. Sandhu, Sukhpal Singh, and Daljit Kaur, known for their expertise in discrete mathematics and computer science education.
Q12
Where can I purchase this book?
A12
The book is published by VK Global Publishers, and it may be available at major bookstores, online platforms, or through academic institutions affiliated with the BCA program.
External Marks : 65
Internal marks : 10
Number of Lectures : 60
Note :
(i) The Question paper will consist of four sections.
(ii) Examiner will set total of NINE questions comprising TWO questions from each section and ONE Compulsory question of short answer type covering whole syllabi.
(iii) The students are required to attempt ONE question from each section and the compulsory question.
(iv) All questions carry equal marks unless specified.
Section - A
Set theory : Relations and functions : Set Notation and Description, Subset, basic, set operations, Venn Diagrams, laws of set theory, partitions of sets, duality principle, basic definitions of relations and functions, graphics of relations, of relations : injectives, surjective and bijective functions compositions.
Section - B
Recurrence : Recurrence relations and recursive algorithms - linear-recurrence relations with constant coefficients ; Homogeneous solutions : Particular solutions : Particular solution, total solution, solution by the method of Generating functions.
Section - C
Graph theory : Graph and planar graphs - Basic terminology, Multi-graphs, Weighted graphs, Paths and circuits, Shortest paths, Eulerian paths and circuits. Traveling salesman problem, planar graphs.
Section - D
Automata Theory : Finite state machines-Equivalent machines, Finite state machines as language recognizers; Analysis of algorithms - Time Complexity of Problems.
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Classic Literature Reimagined: Discuss modern twists on classic novels.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed
do
eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim
veniam, quis nostrud exercitation ullamco Lorem ipsum dolor sit amet,
consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et
dolore magna aliqua. Utenim ad minim veniam, quis nostrud exercitation
ullamco
Lorem ipsum dolor sit amet, consecte...
Classic Literature Reimagined: Discuss modern twists on classic novels.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed
do
eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim
veniam, quis nostrud exercitation ullamco Lorem ipsum dolor sit amet,
consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et
dolore magna aliqua. Utenim ad minim veniam, quis nostrud exercitation
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