A Complete Guide to 1st-Order Ordinary Differential Equation

🎓 Unlock the Secrets of First-Order Ordinary Differential Equations with Gina Chou!

Course Title: A Complete Guide to 1st-Order Ordinary Differential Equations 🚀

How This Course Works:

Differential Equations (DEs) are the stars of many real-world phenomena. They are equations that involve the derivatives of functions, modeling everything from population dynamics and continuous interest calculations to the motion of particles and beyond. In this course, you'll master the fundamentals of First-Order Ordinary Differential Equations (ODEs) with practical, real-life applications.

What You'll Cover:

📚 Section 2: Preliminaries

• Classification of DEs: Learn to distinguish between different types of equations based on their characteristics.
• Variables Separable: Discover how to approach and solve these common types of equations.
• Initial-Value Problems (IVP): Understand the crucial role IVPs play in solving ODEs.

🚀 Section 3: First-Order ODEs as Mathematical Models

• Model I - IV: Explore a variety of models, from simple population dynamics to complex systems like series circuits and mathematical descriptions of motion.
• Application: A Mixture Problem & Series Circuits: Apply your knowledge to solve practical problems.

🧠 Section 4: First-Order ODEs' Methods of Solution

• Variables Separable: Perfect your technique for this widespread method.
• First-Order Linear ODE, Homogeneous First-Order ODE: Learn to tackle linear and homogeneous equations with confidence.
• Exact First-Order Equation: Understand what it takes to make an equation exact.
• Bernoulli's Equation & Substitutions: Master these advanced techniques for solving first-order ODEs.

📈 Additional Topics (in the complete course)

• Second Order Equations and Linear Equations of Higher Order
• Laplace Transforms
• Linear Systems of ODEs

Inside Each Section:

🎥 Videos: Watch as Gina Chou breaks down each concept, demonstrates problem-solving techniques with real-world examples, and ensures you can handle any problem independently.

📝 Notes: Access downloadable notes from each section to complement your learning experience and review key points offline.

🔍 Assignments: Put your skills to the test with practice problems at the end of sections 3 and 4, complete with solutions for self-checking.

Included in the Course:

✅ An Instructor Who Cares: Gina Chou is committed to your success every step of the way.

🔄 Lifetime Access: Get unlimited access to this section of the course, A Complete Guide to First-Order Ordinary Differential Equations.

Highlights:

✨ #1: Downloadable Lectures
Access your course videos anytime, anywhere, on any device.

📄 #2: Downloadable Lecture Notes
Review lectures without needing an internet-connected device.

🔍 #3: Two Problem Sets
Test your skills with practice problems at the end of Sections 3 and 4, complete with solutions.

🧐 #4: Step-by-Step Problem Solving Guide
Follow a detailed guide to help you methodically solve complex problems.

Ready to Dive In?

Join Gina Chou for an enlightening journey into the world of First-Order ODEs, where you'll gain the skills and confidence needed to tackle real-world challenges. 🌟

• Gina Chou 🎉