Differential Equations

First- and second-order ODEs, Laplace transforms and systems, applied to vibrations, circuits and heat.

MATH-201 Year 2 3 credits 5 lessons · 2 h 54 min

Offered by HSM University · Engineering Core

What you'll learn

Solve first-order separable and linear equations and model cooling, decay, draining, mixing, RC circuits and drag
Solve second-order linear equations with constant coefficients, including forced response, resonance and beam deflection
Analyze mass-spring-damper and RLC systems using natural frequency, damping ratio and dynamic amplification
Use Laplace transforms, step and impulse functions and transfer functions to solve initial value problems
Solve linear systems with eigenvalues, find vibration modes, classify equilibria and solve systems numerically

5 lessons · 2 h 54 min total · final exam

Recommended background. You can start any course at any time.

First- and second-order ODEs, Laplace transforms and systems, applied to vibrations, circuits and heat.

Part of the Engineering stream, typically taken in year 2.