Understanding Partial Differential Equations for AI
What you'll learn
- You will learn how to solve Partial Differential equations
- Partial derivative formulas are discussed
- You will learn how to use direct integration to solve a non homogeneous partial differential equation
- Learn how to differentiate between homogeneous and non homogeneous PDE
- Learn about polar coordinates and basic identities involving these
- Learn how to calculate nth order derivatives
- You'll learn what are non linear Differential equations and how to solve them
- Exact Differential equations is introduced
Requirements
- Elementary knowledge of Differentiation and Integration
- You could take my course on Continuity and Differentiability to sharpen your differentiation skills
Description
Solving PDE's can be classified into the following parts
Introduction to Partial Differential Equations
You learn what is a homogeneous PDE, Both degree 1 and 2 are discussed here
Formation of PDE is taught , equation of the form f(u,v) =0 is discussed. Chain Rule is also taught when z is expresses as the sum of 2 functions. First order partial differential equations are discussed.
PDE math teaches you how to solve a non homogeneous partial differential equation by direct integration.
Steps to solve a homogeneous PDE is also discussed. An ideal partial differential equations solver.
What trends are occurring in Mathematics? The study of Partial Differential equations is definitely one which will take you long in your field of study.
This course introduces you to PDE, explains the difference between homogeneous and non homogeneous equations and how to solve each of them. You are also taught techniques on how to form a PDE. A simple course which promises you a depth of knowledge! A little knowledge of solving linear differential equations with constant coefficients is needed. This is discussed in my lecture on important tips and formulas.
There is an assignment at the end. All the formulas learnt in this course are also compiled together for you.
Don't miss out on partial differential equations examples.
Learn about polar coordinates and the relationship between rectangular and polar coordinates. Also learn basic formulas for these.
Also learn how to go beyond second order derivatives and evaluate nth order derivatives. You'll be introduced to non linear differential equations and how to solve them. Get a basic understanding of Exact Differential equations.
Explore Orthogonal Trajectories of a Curve. Newton's Law of Cooling is also explained here. Learn about the Inverse Differential Operator and how to use it in problem solving.
Understand the basics of the Reduction formula and how to use it in problem solving.
Who this course is for:
- College students learning Mathematics
- Students of Multivariable Calculus
Instructor
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!