APPLIED MATHEMATICS – I

As the name suggests, Applied mathematics is the branch of mathematics which deals with the application of mathematics to solve problems which arise in various areas such as, science, engineering or other diverse areas, and/or the development of new or improved methods to meet the challenges of new everyday problems.

Unlike, the traditional branches of mathematics such as, algebra, real analysis etc. which deal with conceptual aspects of mathematics Applied mathematics is concentrated on real-world problems with the dual goal of explaining observed phenomena and predicting new, as yet unobserved, phenomena.

Applied Mathematics will help one understand the concepts of complex numbers, successive differentiation, partial differentiation etc.

Ekeeda offers great online courses for budding mathematicians. Our course structure is comprehensive and following are the chapters of our Applied Mathematics 1 course –

1.      Complex numbers-

One learns the elementary concepts of real numbers and complex numbers. The concept of the one-dimensional number line is extended to the two-dimensional complex plane. One learns about complex numbers as ordered pairs, geometrical representation of complex numbers, curves and regions in complex planes, Extended complex plane, stereographic projections, complex-valued functions etc.

2. The logarithm of complex numbers -

The branch of mathematics which deals with the study of non-zero complex numbers as logarithmic functions. One also learns about

Complex numbers have applications in several scientific sectors like signal processing, control theory, electromagnetism, fluid dynamics, quantum mechanics, cartography, and vibration analysis.

3. Successive differentiation –

This chapter will enable us to differentiate a given function successively n times and the results of such differentiation are called successive derivatives. One also learns “The Leibnitz theorem” and the rules followed while doing successive differentiation. The higher order differential coefficients hold a lot of importance in scientific and engineering applications.

4. Matrices –

This chapter focuses on using matrices for plotting graphs, statistics, seismic surveys and in representing data's like the population of people, infant mortality rate, etc

5. Partial differentiation and its applications –

This unit will help one understand what partial differentiation is, how to do partial differentiation of a function(s), rules followed while doing partial differentiation of a function(s) and the need of partial differentiation. One also learns to form partial differential equations and find their solutions. Partial derivatives are used in vector calculus and differential geometry.

6. Expansion of functions –

Representing a particular function as a sum of powers in one of its variables, or by a sum of powers of another function is called Expansion of that function. This chapter deals with the expansion of functions using various series (Taylor series, Maclaurin series etc.) expansion.

7. Indeterminate forms –

This unit will enable the learner to understand tricky situations when the ratio of two functions tends to zero and an indeterminate form is created. One learns to apply L’Hospital’s rule in finding limits of indeterminate functions.

8. Numerical Solutions of Transcendental Equations –

One learns about transcendental functions (i.e., functions which are not algebraic) and about methods of solving transcendental functions.

9. The system of Linear Equations –

One learns to formulate linear equations, a solution of linear equations(using substitution method etc.) and representation of linear equations on the positive and negative X, Y axes(Euclidean plane) etc.

The industry veterans were the mind behind creating these amazing and detailed chapters on Applied Mathematics-I. For further details or queries, you can reach out to us anytime.

The outcome of the course EKeeda provides a comprehensive online learning resource for mathematics enthusiasts and our online course ensures a perfect learning environment for the individual. All the concepts are backed by good examples that will help you to learn the most complex theory in the simplest way possible. Develop a knack towards online learning and enjoy reading the chapters at the comfort of your home.

So, Stay foolish! Keep growing!

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