In this chapter, we shall discuss several applications of differential calculus such as curvature, radius of
curvature, mean value theorems including Taylor's and Maclaurin's series expressions for function of
single variable, evaluation of limits by L'Hospital's rule, Taylor's and Maclaurin's series for functions of
two variables, maxima and minima for function of two variables and constrained
......

A large number of basic laws of nature in science and technology appear
mathematically in the form of differential equations. The problem of
solving differential equations is one of the most important tools for
engineers and scientists. The readers are already familiar in solving the
differential equations of first order and first degree. In this chapter we
discuss some standard methods of so
......

In the first semester we have discussed the basic principles of integral
calculus. In this chapter we shall discuss multiple integrals, their
applications, special functions like Beta and Gamma functions and
simple problems with standard limits.

The theory of Laplace transform is an essential part of the mathematical
background required by engineers, physicists and mathematicians.
It gives an easy and effective means for solving certain types of
differential equations and integral equations. It is foundation of the
modern form of operational calculus, which was originated from the
operational methods used by an English electrical eng
......

We come across two types of quantities in physics, mechanics and other branches of applied mathematics,
one characterized by both magnitude and direction such as displacement, velocity, force, acceleration etc
and the other characterized by only magnitude and no direction such as mass, speed and density etc. The
former is known as vector while the later is known as scalar. In this chapter we di
......

A large number of basic laws of nature in science and technology appear
mathematically in the form of differential equations. The problem of
solving differential equations is one of the most important tools for
engineers and scientists. The readers are already familiar in solving the
differential equations of first order and first degree. In this chapter we
discuss some standard methods of so
......

A large number of basic laws of nature in science and technology appear
mathematically in the form of differential equations. The problem of
solving differential equations is one of the most important tools for
engineers and scientists. The readers are already familiar in solving the
differential equations of first order and first degree. In this chapter we
discuss some standard methods of so
......

In this chapter, we shall discuss several applications of differential calculus such as curvature, radius of
curvature, mean value theorems including Taylor's and Maclaurin's series expressions for function of
single variable, evaluation of limits by L'Hospital's rule, Taylor's and Maclaurin's series for functions of
two variables, maxima and minima for function of two variables and constrained
......

In this chapter, we shall discuss several applications of differential calculus such as curvature, radius of
curvature, mean value theorems including Taylor's and Maclaurin's series expressions for function of
single variable, evaluation of limits by L'Hospital's rule, Taylor's and Maclaurin's series for functions of
two variables, maxima and minima for function of two variables and constrained
......

A large number of basic laws of nature in science and technology appear
mathematically in the form of differential equations. The problem of
solving differential equations is one of the most important tools for
engineers and scientists. The readers are already familiar in solving the
differential equations of first order and first degree. In this chapter we
discuss some standard methods of so
......

In the first semester we have discussed the basic principles of integral
calculus. In this chapter we shall discuss multiple integrals, their
applications, special functions like Beta and Gamma functions and
simple problems with standard limits.

We come across two types of quantities in physics, mechanics and other branches of applied mathematics,
one characterized by both magnitude and direction such as displacement, velocity, force, acceleration etc
and the other characterized by only magnitude and no direction such as mass, speed and density etc. The
former is known as vector while the later is known as scalar. In this chapter we di
......

A large number of basic laws of nature in science and technology appear
mathematically in the form of differential equations. The problem of
solving differential equations is one of the most important tools for
engineers and scientists. The readers are already familiar in solving the
differential equations of first order and first degree. In this chapter we
discuss some standard methods of so
......

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