Differential Equations

Differential equations are the language engineering and the physical sciences use to describe anything that changes, from a cooling cup of coffee to an oscillating circuit, and this course teaches you how to actually solve them rather than just admire the notation. You'll work through first- and second-order ODEs by hand, pick up systematic tools like undetermined coefficients, variation of parameters, Laplace transforms, and power-series solutions, and prove your fluency through a midterm, a final, and a quiz built around problem-solving. Sitting right after Calculus II, it's the bridge that makes later courses in physics, control, signals, and PDEs legible, so the techniques you grind through here become reflexes you'll lean on for the rest of your degree.