Differential Equations Courses
What are Differential Equations?
Differential equations are equations that account for any function with its derivatives. These equations are often used to describe the way things change over time, helping us to make predictions and account for both initial conditions and the evolution of variables. Differential equations are used to describe all manner of natural occurrences but can be difficult to solve sometimes. In pure mathematics, we study differential equations from multiple perspectives, and for more complex equations, we use the power of computer processing to approximate a solution. Differential equations include many types: linear equations versus nonlinear equations, ordinary differential equations versus partial differential equations, and finally, homogeneous equations versus non-homogeneous equations. The general solutions or exploration depends on deciphering the type of equation at hand.
Learn about Differential Equations
Differential equations play a considerable role in our understanding of most fields of science. Learning about their functions could help in your research and aid in communicating complex natural occurrences. The different types of differential equations can be used to describe different rates of change in dynamical systems. Approximating these rates of change gives you an edge in discovery. EdX.org offers courses designed in partnership with leaders in the field of mathematics and sciences that can introduce you to these complex equations without ever leaving your home or office.
Differential Equation Courses and Certifications
MIT offers an introductory course in differential equations. You'll learn to solve first-order equations, autonomous equations, and nonlinear differential equations. You'll apply this knowledge using things like wave equations and other numerical methods. You can expand on this knowledge with MIT's 2x2 Systems course, designed to introduce coupled differential equations. You'll understand solving rates of change with first-order differential equations and linear differential equations. You can continue with the entire X-series, studying more and more complex equations, including second-order differential equations and partial derivatives. From there, you can take practical courses designed to integrate the usage of differential equations into practical applications. MISIS offers a course, Complex Analysis with Physical Applications designed to provide you with the chance to explore the world of complex equations. Or you could apply this knowledge to creative pursuits by using these equations for CGI with the University of Michigan.
Build a Career with Knowledge of Differential Equations
Understanding the complex nature of growth and change is a big part of research and development in many scientific fields. The rate of change can be challenging to predict, but with the right math fluency, you could make better predictions using the language of higher-order mathematics. EdX and partners can help you decipher this complex language and gain confidence in your skills.