Name: Problems In Calculus of One Variable
Brand: Amit Book Depot
Price: 275 INR
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Problems In Calculus of One Variable

by Madhurima

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23 Customer Review

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Q1

What is the primary focus of I.A. Maron’s book?

A1

Extensive problem-solving in single-variable calculus including limits, differentiation, integration, and physical applications. Ideal for undergraduate mathematics.
Q2

Does the book cover L'Hôpital's rule?

A2

Yes. Chapter 3 includes L'Hôpital's rule to evaluate indeterminate forms with solved examples and graded exercises.
Q3

Are improper integrals discussed?

A3

Yes. Chapter 8 covers improper integrals with infinite limits, unbounded functions, and geometric/physical applications.
Q4

Which integration methods are explained?

A4

Direct integration, substitution, parts, reduction formulas, Euler's substitutions, rational functions, trigonometric and hyperbolic functions.
Q5

Are physical applications included?

A5

Yes. Pressure, work, static moments, moments of inertia, and centre of gravity via definite integrals.
Q6

What is covered under differentiation of implicit functions?

A6

Chapter 2 covers differentiation of inverse, implicit, and parametrically represented functions with Leibnitz formula.
Q7

Are area computations included?

A7

Yes. Areas in rectangular, polar coordinates, and parametrically represented boundaries using definite integrals.
Q8

Does the book cover equivalent infinitesimals?

A8

Yes. Chapter 1 explains equivalent infinitesimals to find limits of functions.
Q9

Can I find arc length problems?

A9

Yes. Arc length of plane curves in rectangular, parametric, and polar coordinates in Chapter 7.
Q10

Does it include reduction formulas?

A10

Yes. Chapter 4 on indefinite integrals and Chapter 6 on definite integrals include reduction formulas.

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Have Doubts Regarding This Product ? Ask Your Question

Q1

What is the primary focus of I.A. Maron’s book?

A1

Extensive problem-solving in single-variable calculus including limits, differentiation, integration, and physical applications. Ideal for undergraduate mathematics.
Q2

Does the book cover L'Hôpital's rule?

A2

Yes. Chapter 3 includes L'Hôpital's rule to evaluate indeterminate forms with solved examples and graded exercises.
Q3

Are improper integrals discussed?

A3

Yes. Chapter 8 covers improper integrals with infinite limits, unbounded functions, and geometric/physical applications.
Q4

Which integration methods are explained?

A4

Direct integration, substitution, parts, reduction formulas, Euler's substitutions, rational functions, trigonometric and hyperbolic functions.
Q5

Are physical applications included?

A5

Yes. Pressure, work, static moments, moments of inertia, and centre of gravity via definite integrals.
Q6

What is covered under differentiation of implicit functions?

A6

Chapter 2 covers differentiation of inverse, implicit, and parametrically represented functions with Leibnitz formula.
Q7

Are area computations included?

A7

Yes. Areas in rectangular, polar coordinates, and parametrically represented boundaries using definite integrals.
Q8

Does the book cover equivalent infinitesimals?

A8

Yes. Chapter 1 explains equivalent infinitesimals to find limits of functions.
Q9

Can I find arc length problems?

A9

Yes. Arc length of plane curves in rectangular, parametric, and polar coordinates in Chapter 7.
Q10

Does it include reduction formulas?

A10

Yes. Chapter 4 on indefinite integrals and Chapter 6 on definite integrals include reduction formulas.

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