Pillar 1: THEORY (The Foundations)

• Fundamental Mechanics
  • Continuum-Solid Mechanics
  • Quantum Mechanics
  • Elasticity-Plasticity
  • Contact Mechanics
  • Ductility-Metal Forming
  • Fracture – Failure Mechanics
  • Fatigue & Durability – Damage Tolerance
  • Penetration Mechanics & Terminal Ballistics
  • Biomechanics
• Applied Mathematics, PDEs & Algorithms
  • Mathematics & Computing for Engineers
  • Integral Equations & Transformations
  • Functional Analysis
  • Linear & Multilinear Algebra (Matrix Theory)
  • Differential Geometry
  • Algebraic Topology & Geometry
  • Non-Linear Analysis
  • Mathematics for Finance
• Pedagogy
  • Engineering Education
  • Simulation-Based Engineering Sciences
  • CDIO – Conceive-Design-Implement-Operate
  • AI in Education
  • Ethics
• Mathematical Optimization
  • Global Optimization
  • Topology Optimization
  • Multi-Objective Optimization
  • Linear & Nonlinear Programming
  • Integer & Mixed Integer Programming
  • Heuristic Methods
  • Convex & Discrete Geometry
  • Game Theory
• Computational & Generative Arts:
  • AI Data Sculpture
  • Machine Hallucinations
  • Latent Space Exploration
  • Immersive Environments
  • Neuro-Aesthetics
• Uncertainty Quantification & Risk
  • Risk Analysis
  • Threat Assessment
  • Probability Theory & Statistical Analysis
  • Stochastic Processes
  • Reliability and Maintenance
  • Survivability-Vulnerability-Lethality