Name: Spectrum Advanced Calculus 1 BA and BSc 3rd Semester PU Chandigarh
Brand: Amit Book Depot
Price: 270 INR
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Spectrum Advanced Calculus 1 BA and BSc 3rd Semester PU Chandigarh

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Spectrum Advanced Calculus-1 by D.R. Sharma and Amit Bhatia is an essential textbook for 2nd-year BA/BSc students at Panjab University, Chandigarh. Published by Sharma Publications, this book provides an in-depth exploration of advanced calculus, including vector differentiation, gradients, divergence, curl, partial derivatives, and more.

Are you a BA/BSc 2nd-year student at Panjab University, Chandigarh, gearing up for your 3rd-semester Advanced Calculus-1 course? Look no further than "Spectrum Advanced Calculus-1," expertly authored by D.R. Sharma and Amit Bhatia. Published by Sharma Publications and available in English, this pivotal textbook offers an in-depth exploration of advanced calculus, tailored specifically for your syllabus.

Comprehensive Coverage of Core Topics

This textbook sets the gold standard in mathematical education with its exhaustive coverage of critical topics:

Vector Differentiation

Begin your journey with a solid foundation in vector differentiation. Learn to maneuver through various vector fields and understand their applications in real-world scenarios.

Gradient, Divergence, and Curl

Next, delve into the pivotal concepts of gradient, divergence, and curl. These chapters will arm you with the tools necessary to understand vector fields, which are indispensable for physics and engineering.

Limit and Continuity of Functions of Two and Three Variables

Understand the principles of limits and continuity for functions involving two and three variables. These core concepts are explained clearly to help you build a robust understanding, which is essential for tackling more advanced topics.

Partial Derivatives

Partial derivatives form the backbone of many calculus problems. Gain mastery over calculating and interpreting partial derivatives, ensuring you're well-prepared for your coursework and beyond.

Jacobians

Jacobians are crucial when it comes to understanding multi-variable calculus and transformations. The textbook breaks down this complex topic into easily digestible sections.

Maxima and Minima

Optimization problems are at the heart of calculus. Learn techniques for finding maxima and minima, which are vital for solving a variety of real-world problems.

Envelopes and Evolutes

Finally, explore the intriguing concepts of envelopes and evolutes, essential for understanding the geometric properties of curves.

Aligned with the BA/BSc 2nd Year, 3rd Semester Curriculum:

This book is meticulously tailored to meet the curriculum requirements of Panjab University's BA /BSc 2nd-year, 3rd-semester Advanced Calculus-1 course.

Student-Friendly Language:

Written in clear, accessible English, this textbook ensures that complex concepts are easy to grasp for students at all levels of proficiency.

Practical Examples and Exercises:

Each chapter is supplemented with practical examples and exercises designed to reinforce your understanding and prepare you for exams.

Reliable Study Companion:

With precise explanations and a structured approach, this book is your reliable companion for mastering advanced calculus.

Have Doubts Regarding This Product ? Ask Your Question

Q1

What topics are covered in "Spectrum Advanced Calculus-1"?

A1

The book covers key topics including Vector Differentiation, Gradient, Divergence, Curl, Limits and Continuity of Functions of Two and Three Variables, Partial Derivatives, Jacobians, Maxima and Minima, and Envelopes and Evolutes.
Q2

Is the book suitable for students who are new to calculus?

A2

Yes, the book is written in clear and accessible English, making complex concepts manageable for students at various levels of proficiency, including those new to the subject.
Q3

How is the content structured in the book?

A3

The syllabus is divided into two units, with each unit covering specific topics. The material is explained in a logical and structured manner to facilitate understanding.
Q4

What is the exam format for this course?

A4

The exam consists of eight questions, four from each unit. Students must attempt five questions, selecting at least two from each unit, with each question carrying 6 marks.
Q5

Are there practical examples in the book?

A5

Yes, each chapter includes practical examples and exercises designed to reinforce understanding and help students prepare for their exams.
Q6

Who are the authors of this book?

A6

The book is authored by D.R. Sharma and Amit Bhatia, who bring their expertise to deliver high-quality content.
Q7

Are there any assessments included in the course?

A7

Yes, there will be internal assessments in the form of a written examination for the course, usually comprising one exam per semester.
Q8

What specific theorems are discussed in the book?

A8

The book includes discussions on Schwarz and Young's theorems, and statements of the Inverse and Implicit Function Theorems along with their applications.
Q9

Can this book help with real-world applications?

A9

Absolutely! The concepts covered are crucial for various applications in fields such as physics, engineering, and economics.
Q10

Does the book provide solutions to exercises?

A10

While there are practical examples and exercises included, it may vary whether solutions are provided. Students are encouraged to attempt the exercises independently to strengthen their understanding.

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1.Vector differentiation

2.Gradient,divergence and curl

3.Limit and continuity of functions of two and three variable

4.Partial derivatives

5.Jacobians

6.Maxima and minima

7.Envelopes and evolutes

B.A/B.Sc. Semester - lll

Time : 3 Hour

Marks : 30

Note :

1. The syllabus has been split into two Units : Unit - 1 and Unit - 2 . Four questions will be set from each Unit.

2. A student will be asked to attempt five questions, selecting at least two questions from each Unit . Each question will be carry 6 markds.

3. The teaching time shall be five periods ( 45 minutes each ) per paper per week including tutorial.

4. If internal assessment is to be conducted in the form of written examinations, then there will be only one written examination per paper in a Semester.

Unit - 1

Limit and continuity of functions of two and there variable. Partial differentiation. Change of variables. Partial derivation and differentiability of real-valued functions of two and three variables. Schwarz and Young's theorem. Statements of Inverse and implicit function theorems and applications.

Vector differentiation, Gradient, divergence and curl with their properties and applications.

Unit - 2

Euler's theorem on homogeneous functions. Taylor's theorem for functions of two and three variables. Jacobians, Envelopes. Evolutes. Maxima, minima and saddle points of functions of two and three variables. Lagrange's multiplier method.