Differential Equations
Master the art of solving differential equations with our comprehensive course covering both ordinary and partial differential equations. Learn solution techniques, applications in physics and engineering, and numerical methods. This course is essential for advanced mathematics, physics, engineering, and applied science students.
What You'll Learn:
- First-Order Differential Equations
- Higher-Order Linear Equations
- Laplace Transforms
- Systems of Differential Equations
- Partial Differential Equations
- Numerical Solutions
Course Details
Differential equations are among the most powerful mathematical tools for modeling real-world phenomena. From describing the motion of planets to predicting population growth, from analyzing electrical circuits to understanding heat flow, differential equations provide the language for describing change and dynamics in natural and engineered systems.
This course takes you from the basics of first-order equations through to advanced topics in partial differential equations. You'll learn multiple solution techniques, develop intuition for qualitative behavior, and see how differential equations are applied across science and engineering. With extensive examples and problem-solving practice, you'll develop the skills needed to tackle complex problems in your field.