
The Hong Kong University of Science and Technology
Skills you'll gain: Differential Equations, Engineering Analysis, Applied Mathematics, Calculus, Integral Calculus, Numerical Analysis, Mathematical Modeling, Advanced Mathematics, Linear Algebra, Vibrations, Electrical Engineering, Derivatives
Beginner · Course · 1 - 3 Months

Korea Advanced Institute of Science and Technology(KAIST)
Skills you'll gain: Differential Equations, Applied Mathematics, Mathematical Modeling, Calculus, Vibrations, Mechanics
Beginner · Course · 1 - 3 Months

The Hong Kong University of Science and Technology
Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Calculations, Engineering Analysis, Numerical Analysis, Finite Element Methods, Integral Calculus, Mathematical Software, Mechanical Engineering, Calculus, electromagnetics, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Simulation and Simulation Software, Advanced Mathematics, Geometry, Computational Thinking
Beginner · Specialization · 3 - 6 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Data Analysis, Computational Logic, Engineering Calculations, Trigonometry, Linear Algebra, Engineering Analysis, Logical Reasoning, Deductive Reasoning, Probability & Statistics, Statistical Analysis, Calculus, Analytical Skills, Bayesian Statistics, Differential Equations, Programming Principles, Statistical Inference, Theoretical Computer Science, Numerical Analysis, Descriptive Analytics, Applied Mathematics
Beginner · Specialization · 3 - 6 Months

University of Colorado Boulder
Skills you'll gain: Electrical Engineering, Numerical Analysis, Linear Algebra, Physics, Angular, Applied Mathematics, Advanced Mathematics, Mathematical Modeling, Engineering Analysis, Calculus, Differential Equations, Simulations, Physical Science
Build toward a degree
Intermediate · Specialization · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Control Systems, Mathematical Modeling, Engineering Analysis, Differential Equations, Diagram Design, Systems Analysis, Electrical Systems, Mechanics, Systems Thinking, Applied Mathematics, Performance Testing, Basic Electrical Systems
Build toward a degree
Intermediate · Course · 1 - 3 Months

Korea Advanced Institute of Science and Technology(KAIST)
Skills you'll gain: electromagnetics, Electrical Engineering, Electrical Systems, Differential Equations, Physics, Materials science, Engineering Analysis, Applied Mathematics, Electronic Components, Advanced Mathematics, Scientific Visualization, Visualization (Computer Graphics), Engineering Calculations, Mechanics, Energy and Utilities, Electronics, Mathematical Modeling, Calculus
Intermediate · Specialization · 3 - 6 Months

Universitat Politècnica de València
Skills you'll gain: Calculus, Algebra, Derivatives, Applied Mathematics, Mathematical Theory & Analysis, Trigonometry, Geometry, Graphing
Beginner · Course · 1 - 3 Months

Universitat Politècnica de València
Skills you'll gain: Linear Algebra, Algebra, Geometry, General Mathematics, Applied Mathematics, Arithmetic
Beginner · Course · 1 - 4 Weeks

Korea Advanced Institute of Science and Technology(KAIST)
Skills you'll gain: Differential Equations, Applied Mathematics, Advanced Mathematics, Linear Algebra, Calculus, Engineering Analysis, Mathematical Modeling
Intermediate · Course · 1 - 3 Months

Korea Advanced Institute of Science and Technology(KAIST)
Skills you'll gain: Differential Equations, Applied Mathematics, Advanced Mathematics, Calculus, Linear Algebra, Engineering Analysis, Mathematical Theory & Analysis
Beginner · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Biological Engineering, Bioinformatics, Simulation and Simulation Software, Mathematical Modeling, Mathematical Software, Biotechnology, Engineering Analysis, Simulations, Differential Equations, Computer-Aided Design, Algorithms, Chemistry
Build toward a degree
Intermediate · Course · 1 - 3 Months
A differential equation is a mathematical equation that relates a function with its derivatives. It plays a crucial role in various fields such as physics, engineering, biology, and economics, as it helps model dynamic systems and phenomena. Understanding differential equations is important because they provide insights into how systems change over time, allowing for predictions and optimizations in real-world applications.‎
Careers that involve differential equations are often found in fields like engineering, physics, data science, and finance. Positions such as systems engineer, data analyst, and quantitative researcher frequently require a solid understanding of differential equations. These roles leverage mathematical modeling to solve complex problems, making expertise in this area highly valuable.‎
To effectively learn differential equations, you should focus on developing a strong foundation in calculus and linear algebra. Key skills include problem-solving, analytical thinking, and familiarity with mathematical modeling. Additionally, proficiency in programming languages such as Python or MATLAB can be beneficial, as they are often used to implement solutions to differential equations.‎
Some of the best online courses for learning differential equations include Differential Equations for Engineers and Differential Equations Part I Basic Theory. These courses provide structured learning paths and practical applications, making them suitable for various learners.‎
Yes. You can start learning differential equation on Coursera for free in two ways:
If you want to keep learning, earn a certificate in differential equation, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎
To learn differential equations, start by taking foundational courses in calculus and algebra. Once you have a grasp of these concepts, you can progress to specialized courses. Practice is essential, so work on problem sets and real-world applications to reinforce your understanding. Engaging with online communities or study groups can also enhance your learning experience.‎
Typical topics covered in differential equation courses include first-order and higher-order differential equations, systems of equations, and applications in various fields. You may also explore numerical methods for solving differential equations and their role in modeling real-world phenomena.‎
For training and upskilling employees, courses like Differential Equations for Engineers are particularly beneficial. They focus on practical applications and problem-solving skills that can be directly applied in the workplace, making them ideal for professional development.‎