Learn differential equations with online courses and programs
What are differential equations?
Differential equations are mathematical equations that involve derivatives and describe relationships between an unknown function and its derivatives. They are used to represent dynamic systems and their behavior over time or in response to certain inputs.
When you solve differential equations, you can gain insights into how systems change and enable predictions of future behavior in disciplines such as physics, engineering, and biology. They play an important role in understanding and predicting complex processes and phenomena, from the motion of celestial bodies to the spread of diseases or the behavior of electrical circuits.
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Differential equations course curriculum
Differential equations are considered intermediate mathematics and are usually taught after initial calculus courses. A course that begins covering differential equations could teach learners about:
Differential equations and their solutions.
Qualitative analysis via directional fields.
Linear algebra and matrices.
Start building the knowledge you need to work with differential equations with edX. From accelerated boot camps to comprehensive programs that allow you to earn a bachelor’s degree or (for more advanced learners) a master’s degree, there are many different learning formats available to fit your needs. Busy professionals can even take advantage of executive education courses tailored to those in leadership and management positions. Find the right course for you.
Explore jobs related to differential equations
A range of career fields use knowledge of differential equations for mathematical modeling, analysis, and problem-solving skills. Some examples of jobs that involve working with differential equations include:
Mathematical modeler: Creates mathematical models that simulate and predict real-world phenomena, such as population dynamics, climate change, or financial markets.
Research scientist: Conducts research and development in scientific fields, applying differential equations to study complex systems, analyze data, and develop mathematical models.
Data scientist: Utilizes differential equations in data analysis and machine learning to extract insights, build predictive models, and solve complex problems in various industries.
Financial analyst: Employs differential equations in financial modeling, risk assessment, and derivative pricing to support investment decisions and portfolio management.
Each of these roles will have different education and skills requirements. Some employers may seek candidates with a degree in mathematics or computer science depending on the role. Before deciding on a specific learning path, research the positions you hope to pursue and align your coursework with your career goals.