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Precize Differential Equations For Msc Mathematics of Panjab University Chandigarh

by Madhurima
₹445 ₹445.00(-/ off)

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23 Customer Review

Precise Differential Equations by Dr. G. S. Sandhu is the definitive book for MSc Mathematics students at Panjab University, Chandigarh, for the course Math 603S. This publication from First World Publications offers complete, syllabus-specific coverage of advanced topics in ordinary and partial differential equations. It provides a rigorous treatment of Existence and Uniqueness Theorems, Sturm-Liouville Theory, Boundary Value Problems, and the classification of Second-Order PDEs. Designed for exam success, this book is an essential resource for building a strong theoretical foundation and mastering the problem-solving techniques required for the university examinations.

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Is this book strictly aligned with the Panjab University MSc Mathematics syllabus for Math 603S?
    A1

    Yes, this book is specifically authored and structured to provide 100% coverage of the Panjab University syllabus for the Math 603S: Differential Equations course.

  • Q2
    Does the book cover both units of the syllabus, including ODEs and PDEs?
    A2

    Absolutely. The book is comprehensively divided into sections that cover all topics from Unit-I (ODEs, Existence Theorems, Sturm-Liouville) and Unit-II (First and Second-Order PDEs) as prescribed.

  • Q3
    Are solution methods for Partial Differential Equations with constant coefficients explained in detail?
    A3

    Yes, the book dedicates a significant portion to PDEs of higher order with constant coefficients, providing systematic methods for finding their solutions, which is a key part of the syllabus.

  • Q4
    Is the content theoretical, or does it also include solved examples and applications?
    A4

    While the focus is on delivering precise theoretical understanding as required for an MSc level, the book explains solution methodologies in a clear, application-oriented context relevant to the theorems.

  • Q5
    Does the book include exercises or practice problems for self-assessment?
    A5

    The product description highlights its focus on theoretical exposition and syllabus coverage. For a wide range of practice problems, students might need to supplement it with additional problem books, as this text is designed for conceptual mastery.

  • Q6
    Is the classification of second-order partial differential equations covered?
    A6

    Yes, the classification of second-order PDEs into parabolic, hyperbolic, and elliptic types is covered in detail, as it is a critical component of the syllabus.

  • Q7
    Is the language used in the book suitable for postgraduate-level study?
    A7

    Yes, the language is academic and rigorous, perfectly suited for MSc-level students, ensuring clarity while maintaining the depth required for advanced mathematics.

  • Q8
    Does this book cover the "Existence and Uniqueness" theorems in a standalone manner?
    A8

    Yes, the first chapter is entirely dedicated to the Existence and Uniqueness of Solutions for first-order ODEs, providing a solid foundation before moving on to more advanced topics.

  • Q9
    Is the topic of 'ODEs in more than two variables' explained clearly?
    A9

    Yes, this often-challenging topic is addressed in a dedicated chapter, explaining the concepts and solution techniques for ordinary differential equations involving multiple variables.

  • Q10
    How does this book help in exam preparation specifically?
    A10

    The content is organized per the exam structure, emphasizing key areas from which questions are frequently drawn. Its precise nature aids in efficient revision and tackling both short and long-answer questions.

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1. Existence and Uniqueness of Solutions of First-Order Ordinary Differential Equations
2. Boundary Value Problems and Sturm-Liouville Theory
3. Ordinary Differential Equations in More Than Two Variables
4. Partial Differential Equations of First Order
5. Partial Differential Equations of Second and Higher Order

Latest Syllabus Of Differential Equations For Msc Mathematics of Panjab University (PU) Chandigarh


Math 603S: Differential Equations

Total Marks: 100
Theory: 80 Marks
Internal Assessment: 20 Marks
Time: 3 hrs.

Note: 
1. The question paper will consist of 9 questions. Candidates will attempt a total of five questions.
2. Question No. 1 is compulsory and will consist of short answer-type questions covering the whole syllabus.
3. There will be four questions from each unit, and the candidates will be required to attempt two questions from each unit.
4. All questions carry equal marks.

UNIT-I

Differential Equations
Existence and uniqueness of solution of first-order equations. Boundary value problems and Sturm-Liouville theory. ODE in more than 2 variables.
[Scope as in Chapter V of the book ‘An Introduction to Ordinary Differential Equations’ by E.A. Coddington and Chapters X & XI of the book ‘Elementary Differential Equations and Boundary Value Problems’ by W.E. Boyce and R.C. DiPrima.]

UNIT-II

Partial differential equations of the first order. Partial differential equations of higher order with constant coefficients. Partial differential equations of second order and their classification. [Scope as in Chapters I, II & III of the book ‘Elements of Partial Differential Equations’ by I.N. Sneddon]. 

Product Name: Precise Differential Equations for MSc Mathematics
Author: Dr. G. S. Sandhu
Publisher: First World Publications
Target Course: MSc Mathematics (Math 603S: Differential Equations), Panjab University, Chandigarh

Master Your MSc in Mathematics with "Precise Differential Equations" by Dr. G. S. Sandhu.

This comprehensive book, "Precise Differential Equations," is meticulously authored by Dr. G. S. Sandhu and published by First World Publications. It serves as the definitive academic resource for students pursuing a Master of Science in Mathematics at Panjab University, Chandigarh, specifically tailored for the course Math 603S: Differential Equations. The book is engineered to provide a rigorous, in-depth, and syllabus-centric understanding of both ordinary and partial differential equations, which are foundational pillars of advanced mathematical studies and their applications.

The content is strategically structured to align perfectly with the university's prescribed syllabus, ensuring complete coverage of all mandatory topics. The book begins with a thorough exploration of the existence and uniqueness of solutions for first-order ordinary differential equations, establishing a solid theoretical foundation. It then progresses into Boundary Value Problems and Sturm-Liouville Theory, a critical area for understanding eigenvalue problems and their applications in mathematical physics. The unit on Ordinary Differential Equations in More Than Two Variables further expands the student's capability to handle more complex systems.

The second half of the book is dedicated to the powerful domain of Partial Differential Equations (PDEs). It provides a clear and systematic treatment of first-order partial differential equations, followed by an extensive study of partial differential equations of second and higher order. This includes their classification into parabolic, hyperbolic, and elliptic types, a crucial skill for solving problems related to heat conduction, wave propagation, and potential theory. The book meticulously covers PDEs with constant coefficients, offering methodical solution techniques.

"Precise Differential Equations" is designed with the student's success in mind. The presentation of concepts is both clear and logically sequenced, moving from fundamental theories to advanced applications. Each chapter is reinforced with precise explanations, relevant theorems, and solution methodologies that are directly applicable to the university examination pattern. The organization of the content mirrors the unit-wise breakdown of the syllabus, making it an indispensable tool for structured study and effective revision.

Key Features and Benefits:

1. Syllabus-Specific Content: Directly mapped to the Panjab University MSc Math 603S syllabus, leaving no topic uncovered.
2. Theoretical Rigor: Provides a deep dive into the existence theorems and uniqueness proofs essential for a strong theoretical grounding.
3. Comprehensive Coverage: Encompasses all critical areas, from Sturm-Liouville theory to the classification of second-order PDEs.
4. Exam-Oriented Approach: The structure and content are tailored to help students tackle the specific format of university examinations, including short-answer and long-answer questions.
5. Clear and Methodical Presentation: Complex topics are broken down into a logical, step-by-step learning progression, enhancing comprehension.
6. Authoritative Resource: Written by an experienced academic, Dr. G. S. Sandhu, ensuring accuracy and pedagogical effectiveness.

This book is not just a book; it is an essential companion for any MSc Mathematics student at Panjab University aiming for academic excellence. It bridges the gap between standard reference texts and the specific requirements of the course, providing a focused, precise, and reliable pathway to mastering differential equations and achieving top marks.

1. Existence and Uniqueness of Solutions of First-Order Ordinary Differential Equations
2. Boundary Value Problems and Sturm-Liouville Theory
3. Ordinary Differential Equations in More Than Two Variables
4. Partial Differential Equations of First Order
5. Partial Differential Equations of Second and Higher Order

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Is this book strictly aligned with the Panjab University MSc Mathematics syllabus for Math 603S?
    A1

    Yes, this book is specifically authored and structured to provide 100% coverage of the Panjab University syllabus for the Math 603S: Differential Equations course.

  • Q2
    Does the book cover both units of the syllabus, including ODEs and PDEs?
    A2

    Absolutely. The book is comprehensively divided into sections that cover all topics from Unit-I (ODEs, Existence Theorems, Sturm-Liouville) and Unit-II (First and Second-Order PDEs) as prescribed.

  • Q3
    Are solution methods for Partial Differential Equations with constant coefficients explained in detail?
    A3

    Yes, the book dedicates a significant portion to PDEs of higher order with constant coefficients, providing systematic methods for finding their solutions, which is a key part of the syllabus.

  • Q4
    Is the content theoretical, or does it also include solved examples and applications?
    A4

    While the focus is on delivering precise theoretical understanding as required for an MSc level, the book explains solution methodologies in a clear, application-oriented context relevant to the theorems.

  • Q5
    Does the book include exercises or practice problems for self-assessment?
    A5

    The product description highlights its focus on theoretical exposition and syllabus coverage. For a wide range of practice problems, students might need to supplement it with additional problem books, as this text is designed for conceptual mastery.

  • Q6
    Is the classification of second-order partial differential equations covered?
    A6

    Yes, the classification of second-order PDEs into parabolic, hyperbolic, and elliptic types is covered in detail, as it is a critical component of the syllabus.

  • Q7
    Is the language used in the book suitable for postgraduate-level study?
    A7

    Yes, the language is academic and rigorous, perfectly suited for MSc-level students, ensuring clarity while maintaining the depth required for advanced mathematics.

  • Q8
    Does this book cover the "Existence and Uniqueness" theorems in a standalone manner?
    A8

    Yes, the first chapter is entirely dedicated to the Existence and Uniqueness of Solutions for first-order ODEs, providing a solid foundation before moving on to more advanced topics.

  • Q9
    Is the topic of 'ODEs in more than two variables' explained clearly?
    A9

    Yes, this often-challenging topic is addressed in a dedicated chapter, explaining the concepts and solution techniques for ordinary differential equations involving multiple variables.

  • Q10
    How does this book help in exam preparation specifically?
    A10

    The content is organized per the exam structure, emphasizing key areas from which questions are frequently drawn. Its precise nature aids in efficient revision and tackling both short and long-answer questions.

Latest Syllabus Of Differential Equations For Msc Mathematics of Panjab University (PU) Chandigarh


Math 603S: Differential Equations

Total Marks: 100
Theory: 80 Marks
Internal Assessment: 20 Marks
Time: 3 hrs.

Note: 
1. The question paper will consist of 9 questions. Candidates will attempt a total of five questions.
2. Question No. 1 is compulsory and will consist of short answer-type questions covering the whole syllabus.
3. There will be four questions from each unit, and the candidates will be required to attempt two questions from each unit.
4. All questions carry equal marks.

UNIT-I

Differential Equations
Existence and uniqueness of solution of first-order equations. Boundary value problems and Sturm-Liouville theory. ODE in more than 2 variables.
[Scope as in Chapter V of the book ‘An Introduction to Ordinary Differential Equations’ by E.A. Coddington and Chapters X & XI of the book ‘Elementary Differential Equations and Boundary Value Problems’ by W.E. Boyce and R.C. DiPrima.]

UNIT-II

Partial differential equations of the first order. Partial differential equations of higher order with constant coefficients. Partial differential equations of second order and their classification. [Scope as in Chapters I, II & III of the book ‘Elements of Partial Differential Equations’ by I.N. Sneddon]. 

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Author name | 10 jan, 2025
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