What you will learn In Differential Equations Part I Basic Theory Course
Understand the foundational concepts of ordinary differential equations (ODEs).
Learn methods for solving first-order differential equations, including separable and exact equations.
Explore the theory behind initial value problems and uniqueness of solutions.
Study linear second-order differential equations and their applications.
Apply learned concepts to model real-world phenomena in science and engineering.
Program Overview
Introduction to Ordinary Differential Equations
⏳ 3 hours
- Introduction to ODEs, their importance, and basic terminologies.
- Overview of first-order differential equations and methods of solving them.
First-Order Differential Equations
⏳ 4 hours
- Detailed study of separable and exact equations.
- Applications of first-order ODEs in modeling real-world problems.
Linear Second-Order Differential Equations
⏳ 4 hours
- Introduction to linear second-order differential equations with constant coefficients.
- Understanding the general solution and method of undetermined coefficients.
Applications of Second-Order Differential Equations
⏳ 4 hours
- Application of ODEs in mechanical and electrical systems, including mass-spring systems and RLC circuits.
- Discussion of damped and undamped oscillations.
Final Project and Review
⏳ 4 hours
- Application of ODEs to real-world scenarios.
- Hands-on problem-solving and comprehensive review.
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Job Outlook
Enhances mathematical proficiency for careers in engineering, physics, and applied mathematics.
Provides a solid foundation for advanced studies in differential equations and mathematical modeling.
Completing this course can bolster qualifications for roles requiring strong analytical and problem-solving skills.
Specification: Differential Equations Part I Basic Theory
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