Differential Equations, Certificate | Part time online | edX - online learning platform | United States
Certificate Online

# Differential Equations

14 months
Duration
364 USD/year
364 USD/year
Unknown
Tuition fee
Anytime
Unknown
Apply date
Anytime
Unknown
Start date

EdX is an online learning platform trusted by over 12 million users offering the Differential Equations in collaboration with Massachusetts Institute of Technology (MIT) - Massachusetts Institute of Technology - MITx.

## Overview

Differential equations are the language of the models that we use to describe the world around us. In this series, we will explore temperature, spring systems, circuits, population growth, biological cell motion, and much more to illustrate how differential equations can be used to model nearly everything.

During this Differential Equations programme from Massachusetts Institute of Technology (MIT) Massachusetts Institute of Technology - MITx we will develop the  mathematical tools needed to solve linear differential equations, understand 2x2 systems of first-order linear and nonlinear differential equations.

We will use linear algebra to solve systems of more than two differential equations. As well as, explore the use of Fourier series to analyze the behavior of and solve ordinary differential equations (ODEs) and separable partial differential equations (PDEs). In the last course of the series, we will consider frequency domain and Laplace transform to help us appreciate their effects on mechanical and electrical systems.

#### What you will learn

• Use differential equations to model real-world phenomena
• How to solve linear differential equations as well as how to use matrix methods to solve systems of differential equations
• How to use graphical methods to understand the qualitative behavior of linear and nonlinear systems
• Formulate and solve eigenvalue and eigenvector problems
• How to solve ODEs and separable PDEs using Fourier series inputs and boundary conditions

#### XSeries Details

This is a series of five courses that are best taken in the following order: 18.031x, 18.032x, 18.033x, 18.03Fx, and 18.03Lx. 18.03Lx is the exception, as the course can be taken at any point after 18.031x.

## Programme Structure

Courses in this program

• Differential Equations

• Differential Equations: 2x2 Systems

• Differential Equations: Linear Algebra and NxN Systems of Differential Equations

• Differential Equations: Fourier Series and Partial Differential Equations

• Transfer Functions and the Laplace Transform

## Key information

• Part-time
• 14 months
• 4 hrs/week

### Start dates & application deadlines

You can apply for and start this programme anytime.

English

### Delivered

Online

We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.

## English requirements

We are not aware of any English requirements for this programme.

## Tuition Fee

To always see correct tuition fees
• ### International

364 USD/year
Tuition Fee
Based on the tuition of 425 USD for the full programme during 14 months.
• ### National

364 USD/year
Tuition Fee
Based on the tuition of 425 USD for the full programme during 14 months.

## Funding

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

## Our partners

Differential Equations
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