Aerospace Engineer Course

Lesson 1 • Mathematics for Aerospace Applications

Covers vector calculus, differential equations, and linear algebra essential for modeling aerospace systems. Bridges abstract math to physical engineering problems.

Lesson 2 • Thermodynamics and Heat Transfer

Introduces thermodynamic laws, cycles, and heat transfer modes critical to propulsion and thermal management. Connects energy concepts to engine and vehicle thermal analysis.

Lesson 3 • Classical Mechanics and Dynamics

Applies Newton's laws, energy methods, and rigid-body dynamics to aerospace structures and vehicles. Provides the mechanical foundation for later flight and propulsion analysis.

Lesson 4 • Introduction to Materials Science

Surveys metallic, composite, and ceramic materials used in aerospace structures. Establishes material selection criteria based on strength, weight, and thermal properties.

Lesson 1 • Subsonic Airfoil and Wing Theory

Analyzes lift generation, pressure distribution, and induced drag for wings in subsonic flow. Connects thin-airfoil theory to practical wing design parameters.

Lesson 2 • Compressible Flow and Shock Waves

Extends flow analysis to transonic and supersonic regimes including normal and oblique shocks. Prepares students for supersonic vehicle and inlet design challenges.

Lesson 3 • Aerodynamic Performance Estimation

Applies drag polar models and aerodynamic coefficients to estimate vehicle performance. Integrates aerodynamic data into preliminary aircraft sizing and trade studies.

Lesson 4 • Fluid Properties and Flow Regimes

Defines viscosity, compressibility, and Reynolds number to classify flow behavior. Establishes the physical basis for all subsequent aerodynamic analysis.

Lesson 1 • Static and Dynamic Stability

Evaluates longitudinal and lateral-directional stability derivatives and their physical meaning. Links stability margins to handling qualities and control surface sizing.

Lesson 2 • Equations of Motion for Aircraft

Derives six-degree-of-freedom equations governing aircraft translation and rotation. Establishes the mathematical framework for all performance and stability calculations.

Lesson 3 • Flight Envelope and Operational Limits

Defines structural, aerodynamic, and propulsive boundaries of the operational flight envelope. Connects certification requirements to design constraints.

Lesson 4 • Takeoff, Landing, and Maneuvering

Analyzes ground roll, rotation, and obstacle clearance for takeoff and landing phases. Extends to turning flight, load factor, and V-n diagrams.

Lesson 1 • Combustion and Fuel Systems

Covers combustion chemistry, flame stability, and combustor design for gas turbine engines. Addresses emissions, fuel types, and alternative propellants.

Lesson 2 • Nozzle Design and Propulsion Integration

Applies isentropic nozzle theory to design convergent-divergent nozzles for optimal thrust. Integrates propulsion with airframe for inlet and exhaust system compatibility.

Lesson 3 • Rocket Propulsion Principles

Derives rocket thrust equation, specific impulse, and Tsiolkovsky's equation for mission delta-V. Compares liquid, solid, and hybrid propellant systems.

Lesson 4 • Air-Breathing Engine Fundamentals

Introduces turbojet, turbofan, turboprop, and ramjet operating principles using Brayton cycle analysis. Establishes specific thrust and fuel consumption as key performance metrics.

Lesson 1 • Fatigue, Fracture, and Damage Tolerance

Applies S-N curves, fracture mechanics, and crack growth models to predict structural life. Connects damage tolerance philosophy to inspection intervals and certification.

Lesson 2 • Stress, Strain, and Elasticity

Introduces stress and strain tensors, Hooke's law, and elastic deformation for isotropic materials. Provides the analytical foundation for all structural sizing tasks.

Lesson 3 • Bending, Shear, and Torsion

Analyzes beams and shafts under bending moments, shear forces, and torsional loads. Applies these results to wing spars, fuselage frames, and drive shafts.

Lesson 4 • Buckling and Structural Instability

Evaluates column buckling, panel buckling, and crippling failure modes critical to thin-walled aerospace structures. Introduces reserve factor and margin of safety concepts.

Lesson 1 • Inertial and Satellite Navigation

Analyzes inertial measurement units, GPS, and sensor fusion algorithms for position and attitude estimation. Evaluates accuracy, drift, and integrity for different mission profiles.

Lesson 2 • Avionics Architecture and Data Buses

Surveys federated and integrated modular avionics architectures and their data communication standards. Addresses real-time processing, latency, and cybersecurity considerations.

Lesson 3 • Autopilot and Guidance Law Design

Designs inner-loop attitude and outer-loop guidance laws for autonomous and semi-autonomous flight. Applies optimal control and trajectory optimization to mission scenarios.

Lesson 4 • Control System Fundamentals

Introduces transfer functions, block diagrams, and feedback control theory for dynamic systems. Establishes stability criteria used in autopilot and flight control design.

Lesson 1 • Communications and Telemetry Systems

Applies link budget analysis to design spacecraft communication systems for data downlink and command uplink. Covers antenna types, modulation, and ground station requirements.

Lesson 2 • Orbital Mechanics and Trajectory Design

Derives Kepler's laws, orbital elements, and maneuver equations for Earth and interplanetary orbits. Provides the foundation for mission design and launch window analysis.

Lesson 3 • Spacecraft Attitude Determination and Control

Analyzes attitude sensors, actuators, and control algorithms for three-axis stabilized spacecraft. Connects attitude accuracy requirements to sensor selection and control law design.

Lesson 4 • Space Environment and Mission Design

Characterizes radiation, microgravity, and debris environments and their effects on spacecraft design. Integrates environmental constraints into mission concept development.

Lesson 1 • Weight, Balance, and Center of Gravity

Estimates component weights using statistical and analytical methods and tracks center-of-gravity travel. Ensures stability and control margins across all loading conditions.

Lesson 2 • Preliminary Design and Trade Studies

Refines the conceptual design through aerodynamic, structural, and propulsion trade studies. Uses sensitivity analysis to identify critical design drivers.

Lesson 3 • Systems Integration and Interface Management

Manages mechanical, electrical, and data interfaces between subsystems using interface control documents. Applies model-based systems engineering tools to track requirements flow.

Lesson 4 • Conceptual Design and Sizing Methods

Applies constraint analysis, mission-weight fractions, and carpet plots to size a new vehicle concept. Translates mission requirements into initial geometry and weight estimates.