What are Beta and Gamma Functions and Laplace Transforms?

Hi, I am Suman Mathews, math educator, teaching mathematics for over 2 decades. I welcome each of you to learning Beta and Gamma functions in Integral Calculus. You are in one of the best teaching platforms.

Beta and Gamma functions is extensively used in Calculus and in various branches of Mathematics. This course introduces you to Beta and Gamma functions, teaches you the important properties and prepares you for problem solving. As an add on, there is also an introduction to Laplace's Transforms.

Beta and Gamma functions are used in Bessel functions and Graph Theory to name a few. You'll start with the basic definitions of Beta and Gamma functions.

You will start with the basic definition of Beta and Gamma functions, their important properties and how they are inter related. You'll learn the Duplication formula and it's applications.

Moving on to Gamma functions, you will be introduced to important concepts and properties . These involve a knowledge of integral Calculus, which is explained in detail here. You will then proceed to work out problems applying these concepts.

Problems are systematically explained with all the calculations. Towards the end of the course, I have introduced Laplace's transforms. You learn what is a Laplace transform and how to calculate it.

Learn simple formulas to help you evaluate Laplace Transforms. Learn how to evaluate Laplace transforms of product functions. Learn advanced problem solving techniques in Laplace Transforms.

You'll learn about radius of curvature and how to calculate the radius of curvature for the intrinsic and Cartesian form.