Welcome to our Differential Equations class! This course is designed to help you build a strong understanding of differential equations from the ground up. We will begin by learning what differential equations are, why they are important, and where they are used in mathematics, science, and engineering. You will learn the definitions, basic concepts, classifications, and various methods used to solve different types of differential equations.
My teaching approach focuses on conceptual understanding rather than rote memorization. Instead of simply applying formulas, we will discuss the logic behind every method and understand why a particular technique works. Each topic will be explained step by step with clear examples, followed by plenty of practice questions to strengthen your problem-solving skills and improve your confidence.
To get the most out of this course, please bring a rough notebook to every class. We will solve many examples, work through exercises together, and write down important concepts, shortcuts, and key observations. Active participation, regular practice, and asking questions whenever you have doubts are highly encouraged. By the end of this course, you will have a solid conceptual foundation and the confidence to solve differential equation problems independently.