What is differential equation?

A differential equation is a mathematical formula common in science and engineering that seeks to find the rate of change in one variable to other variables. Differential equations use derivatives, which are variables that represent change of a functional dependence of one variable upon another. In many differential equations, you will see the derivatives expressed in x and y terms. Differential equations are used in areas of quantitative study because they help scientists and engineers find solutions that may be used to predict the behavior of an original system. These solutions, called functions, show rates of change in matters that can be directly observed and measured.

Why is it valuable to learn differential equation?

It is valuable to learn differential equations as these are found and used in traditional sciences like physics, engineering, chemistry, and biology and numerical sciences like math, scientific computing, machine learning, and artificial intelligence. Differential equations are used in these areas to find rates of change in problems like circuit design, heat transfer, fluid mechanics, seismic waves, or in finance for options trading. Learning about differential equations can help you if you choose to study and eventually work in these fields.

What are typical career opportunities that use differential equation?

Some typical career opportunities for those who learn differential equations are in science and engineering jobs like control software engineer, computational fluid dynamics analyst, data scientist, meteorology scientist, and similar weather science roles. You may also find career opportunities in research science, electromagnetics, physics, and electrical engineering positions. Jobs in options trading are also possible if you know differential equations, as traders often use these formulas in software programs to assess a current value or volatility of a particular stock price.

How can online courses help me learn differential equation?

Taking online courses in differential equations might help you grasp the fundamentals of first-order differential equations, second-order linear differential equations, and mathematical modeling problems. When you study the key aspects of differential equations in online courses, you may also learn the basics of related scientific and mathematical disciplines of discrete mathematics, linear algebra, and statistical probability.

What are the benefits of taking an online Differential Equation course?

Online Differential Equation courses offer a convenient and flexible way to enhance your knowledge or learn new Differential Equation skills. Choose from a wide range of Differential Equation courses offered by top universities and industry leaders tailored to various skill levels.

What Differential Equation courses are best for training and upskilling employees or the workforce?

When looking to enhance your workforce's skills in Differential Equation, it's crucial to select a course that aligns with their current abilities and learning objectives. Our Skills Dashboard is an invaluable tool for identifying skill gaps and choosing the most appropriate course for effective upskilling. For a comprehensive understanding of how our courses can benefit your employees, explore the enterprise solutions we offer. Discover more about our tailored programs at Coursera for Business here .

Top Differential Equation Courses - Learn Differential Equation Online

Status: Free

Korea Advanced Institute of Science and Technology(KAIST)

Differential Equations Part I Basic Theory

Skills you'll gain: Differential Equations, Mathematical Modeling, Applied Mathematics, Calculus, Vibrations, Mechanics

The Hong Kong University of Science and Technology

Differential Equations for Engineers

Skills you'll gain: Differential Equations, Engineering Calculations, Engineering Analysis, Applied Mathematics, Calculus, Numerical Analysis, Mathematical Modeling, Advanced Mathematics, Linear Algebra, Algebra

Status: Free

The University of Sydney

Introduction to Calculus

Skills you'll gain: Calculus, Integral Calculus, Algebra, Advanced Mathematics, Geometry, Trigonometry, Arithmetic, Derivatives, Mathematical Modeling, Graphing

Johns Hopkins University

Differential Calculus through Data and Modeling

Skills you'll gain: Calculus, Applied Mathematics, Data Modeling, Estimation, Graphing, Mathematical Modeling, Data Analysis Software, Algebra, Trigonometry, Cost Estimation, Engineering Calculations, Linear Algebra, Data Analysis, Advanced Mathematics, Analysis, Derivatives, Mathematical Theory & Analysis, Geometry

The University of Sydney

Introduction to Advanced Calculus

Skills you'll gain: Advanced Mathematics, Integral Calculus, Calculus, Mathematical Theory & Analysis, Differential Equations, Applied Mathematics, Engineering Calculations, Mathematical Modeling, Linear Algebra, Physics, Derivatives

Korea Advanced Institute of Science and Technology(KAIST)

Differential Equations Part II Series Solutions

Skills you'll gain: Differential Equations, Applied Mathematics, Advanced Mathematics, Calculus, Linear Algebra, Algebra

The Hong Kong University of Science and Technology

Mathematics for Engineers

Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Calculations, Engineering Analysis, Numerical Analysis, Finite Element Methods, Integral Calculus, Mechanical Engineering, Calculus, Algebra, Applied Mathematics, Mathematical Modeling, Civil Engineering, Advanced Mathematics, Computational Thinking, Engineering, Mathematical Theory & Analysis, Simulation and Simulation Software, Geometry

Status: Free

University of Pennsylvania

Calculus: Single Variable Part 2 - Differentiation

Skills you'll gain: Calculus, Applied Mathematics, Derivatives, Engineering Calculations, Advanced Mathematics, Estimation

University of Colorado Boulder

Algebra and Differential Calculus for Data Science

Skills you'll gain: Algebra, Calculus, Graphing, Applied Mathematics, Data Science, Derivatives, Mathematical Theory & Analysis

Korea Advanced Institute of Science and Technology(KAIST)

Differential Equations Part III Systems of Equations

Skills you'll gain: Differential Equations, Applied Mathematics, Advanced Mathematics, Linear Algebra, Calculus, Engineering Analysis, Mathematical Modeling

University of Colorado Boulder

Control Systems Analysis: Modeling of Dynamic Systems

Skills you'll gain: Process Control, Mathematical Modeling, Engineering Analysis, Differential Equations, Engineering Calculations, Systems Analysis, Mechanical Engineering, Mechanics, Applied Mathematics, Performance Testing, Electrical Engineering, Basic Electrical Systems

Status: Free

Georgia Institute of Technology

Introduction to Engineering Mechanics

Skills you'll gain: Engineering Analysis, Mechanics, Torque (Physics), Engineering Calculations, Mechanical Engineering, Engineering, Civil Engineering, Structural Analysis, Physics

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