Courses
Welcome to Differential Equations Course
About Course
This is the fundamental language of change and motion in modeling dynamic systems and solving real-world problems. At MathWise, we offer Differential Equations courses to empower your mathematical skills.
What will you Learn in Differential Equations Course?
This course addresses fundamental subjects like polynomials, functions, and linear and quadratic equations, and is intended to provide students with a solid foundation in algebraic principles and problem-solving techniques. We will learn:
i. Ordinary Differential Equations (ODEs)
iii. 1st Order Differential Equations
v. Laplace Transform
vii. Euler’s Method
ix. shooting Methods
x. Finite Difference Methods
ii. Partial Differential Equations (PDEs)
iv. 2nd Order Differential Equations
vi. Numerical Methods
viii. Runge-Kutta Method
Course Content
UNIT 1:Ordinary Differential Equations
A function and its derivative are related by differential equations. Thus, rather than being a value or collection of values, the solution set is one or more functions. In this unit , we will learn about ordinary differential equations and find ways to solve multiple types of ODEs.
UNIT 2: Partial Differential Equations
In second order linear equations, the equations include second derivatives. Exploring Partial Differential Equations and learn techniques to solve different types of PDEs.
UNIT 3: 1st-order ODEs
In this unit, you'll delve into the fundamental principles and techniques used to solve differential equations of the first order. From understanding the basic concepts to mastering solution methods such as separation of variables and integrating factors, our comprehensive lessons will enable you to tackle a wide range of mathematical problems.
UNIT 4: 2nd-order ODEs
In this subject, discover the world of second-order Ordinary Differential Equations (ODEs). Explore mathematical ideas as we walk you through the complexities of solving second-order differential equations. Our comprehensive lessons will help you to tackle challenging mathematical issues confidently.
UNIT 5: Laplace transformation
A mathematical method called the Laplace transform converts a function of time into a function in the frequency domain. An algebraic approach can frequently be used to solve the differential equation that results from transforming both of its sides.
UNIT 6: Numerical approximation Methods
This section will teach you effective methods for estimating solutions to mathematical problems when exact solutions are impractical.In our lessons, we will cover everything from numerical integration to root-finding methods, various type of numerical method like Euler’s Method, R-K Method, shooting Methods and Finite Difference Methods.
Importance
Why Choose Our Differential Equations Course?
Differential equations are not just theoretical; they are practical tools for solving real-world problems and understanding dynamic systems.Our instructors are seasoned mathematicians with expertise in differential equations, dedicated to making complex concepts understandable.
Join us on this journey to master differential equations and equip yourself with valuable mathematical skills for modeling and analysis.
Contact us for online learning about Differential-equation
