Introduction to Dynamical System Theory for Engineers

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Space Mission Design: Starship Test and Rendezvous Techniques

Discusses SpaceX's Starship test flight and the principles of rendezvous in space missions.

Continuous Functions: Definitions and Criteria

Covers the definition and criteria for continuous functions and explores the intermediate value theorem.

Dynamical Systems for Engineers

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Bifurcations: Fold Bifurcation

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

Multivariable Integral Calculus

Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.

Transcritical Bifurcation in Dynamical Systems

Explores transcritical bifurcation in dynamical systems, with a focus on SIS epidemics and their mathematical analysis.

Stellar Orbits: Integrals of Motion and Phase Space Visualization

Covers integrals of motion and surfaces of section in stellar dynamics.

Learning and Adaptive Control for Robots: Extensions to DS

Explores coupled and uncoupled dynamical systems, stability, hand-arm coupling, and adaptation in robotics.

Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.