Foundations of Beta and Gamma Functions for Machine Learning
What you'll learn
- You will learn about Beta and Gamma functions, their properties and applications.
- You will learn the relation between Beta and Gamma functions
- Learn how to derive the Duplication formula and its applications
- Bonus-Learn about Laplace Transforms and how to evaluate them
- Dive deeper into learning Laplace functions
Requirements
- You will need a basic knowledge of integration.
Description
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 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.
Who this course is for:
- Graduate mathematics students will find this course useful
- Computer Science graduates will also use Beta and Gamma functions
Instructor
- 3.9 Instructor Rating
- 16 Reviews
- 3,197 Students
- 18 Courses
I have been a mathematics educator for over 25 years teaching mathematics both at the high school and graduate level. Presenting a set of courses on Class 11 and 12 maths and College maths.
These courses are designed to help you understand the basic nuances of Mathematics. Each topic in mathematics is like a language which makes sense, only if it is understood. My mission in each of these courses is to help any student understand the subject better and develop a liking for Mathematics.
The courses are self explanatory. A lot of importance is given to problem solving
You can contact me for any feedback about course topics. I would love to hear from you!