Differential Equations
$319.00
Master the art of solving differential equations with this advanced course covering ordinary and partial differential equations. Learn analytical and numerical methods used in physics, engineering, biology, and economics to model dynamic systems and predict behavior.
What You'll Learn:
- First and Second Order ODEs
- Systems of Differential Equations
- Laplace Transforms
- Partial Differential Equations
- Numerical Methods
- Applications in Science and Engineering
Course Description
Differential Equations is an advanced mathematics course that explores the mathematical tools used to describe and predict the behavior of dynamic systems. From population growth to electrical circuits, from heat transfer to quantum mechanics, differential equations are the language of change in the natural world.
This comprehensive course covers both analytical techniques for solving equations exactly and numerical methods for approximating solutions when exact methods fail. You'll work with real-world problems from physics, engineering, biology, and economics, learning to formulate problems, solve equations, and interpret results.
Perfect for engineering students, physics majors, applied mathematicians, and professionals in technical fields who need to model and analyze dynamic systems.
Course Curriculum
- Week 1-2: First Order Differential Equations
- Week 3-4: Second Order Linear Equations
- Week 5: Systems of Differential Equations
- Week 6: Laplace Transforms
- Week 7-8: Partial Differential Equations
- Week 9: Numerical Methods and Capstone Project
Your Instructor
Prof. David Anderson, Ph.D. Applied Mathematics
Professor Anderson is an expert in differential equations with 22 years of teaching experience. He has consulted for aerospace companies and research laboratories on mathematical modeling projects involving complex dynamic systems.