Aerospace Engineering

Analyze how liquids and gases flow through pipes, over wings, and around objects.

Work with matrices, vectors, and systems of equations used in graphics, AI, and engineering.

Calculate stress, strain, and deformation to predict when beams and shafts will break.

Extend single-variable calculus into 3D with multivariable functions, vectors, and surface integrals.

Solve equations describing how systems change over time, from circuits to population growth.

Analyze forces on objects at rest and in motion to predict how structures and machines behave.

Study heat, energy, and work — how engines, refrigerators, and power plants operate.

Calculate lift, drag, and airflow patterns around wings, aircraft, and high-speed vehicles.

Analyze airflow at high speeds where shock waves and density changes become significant.

Analyze stress and weight in fuselages, wings, and landing gear to keep planes lightweight and strong.

Study how jet engines, rockets, and turbines generate thrust for flight and space travel.

Model how aircraft respond to pilot inputs and design autopilot stability systems.

Compute satellite orbits, spacecraft trajectories, and planetary transfer maneuvers using physics.

Integrate power, thermal, structural, and communication subsystems into a complete spacecraft.

Use software to simulate stress, heat, and vibration in complex 3D engineering parts.