Classical analytical dynamics from a modern mathematical viewpoint: Newton's laws, dynamical variables, many particle systems; the Lagrangian formulation, constraints and configuration manifolds, tangent bundles, differential manifolds; variational principles, least action; …
Topics include free and forced vibrations of undamped and damped single- and multi-degree-of-freedom systems; modal analyses; continuous systems; matrix formulations; finite element equations; direct integration methods; and eigenvalue solution methods. …
Analytical and computational treatment for modeling and simulation of 3-Dimensional multibody mechanical systems. Provide a systematic and consistent basis for analyzing the interactions between motion constraints, kinematics, static, dynamic, and …
Principles of robotic autonomy for navigating unstructured environments using mathematical principles. Basic probability theory, numerical techniques for recursive Bayesian estimation and multi-sensor data fusion, Simultaneous Localization and Mapping, quantification of …
Mechanical design and build of a robot complete with sensors and actuators. Install Robot Operating System (ROS) and operate. Communication using ROS. Integration of microcontrollers and onboard computers. Object recognition. …
Discussion of turbulence in engineering and natural systems; turbulent flow physics and statistical properties for velocity, kinetic energy, and dissipation; turbulent length, velocity, and time scales; turbulence governing equations and …
Fundamentals of modern wind turbines with emphasis on mechanical and aerospace engineering aspects as well as design and economic considerations. Topics include wind resources, aerodynamics and performance, control of turbine …
The topics covered are: dimensional analysis; physical properties of fluids; kinematic descriptions of flow; streamlines, path lines and streak lines; stream functions and vorticity; hydrostatics and thermodynamics; Euler and Bernoulli …
Analyzes the theory and solution methods applicable to multi-dimensional compressible inviscid gas flows at subsonic, supersonic, and hypersonic speeds; similarity and scaling rules from small-petrurbation theory, introduction to transonic and …
Review of ordinary differential equations, initial/boundary value problems. Linear algebra including systems of linear equations, matrices, eigenvalues, eigenvectors, diagonalization. Solution of partial differential equations that govern physical phenomena in science …
Further and deeper understanding of partial differential equations that govern physical phenomena in science and engineering. Solution of linear partial differential equations by eigenfunction expansion techniques. Green's functions for time-independent …
Role of statistics in science, hypothesis tests of significance, confidence intervals, design of experiments, regression, correlation analysis, analysis of variance, and introduction to statistical computing with statistical software libraries. Cross-listed …
Special Topics in Distance Learning
Study of a specialized, advanced, or exploratory topic relating to mechanical or aerospace engineering science, at the first-graduate-course level. May be offered on a seminar or a team-taught basis. Subjects …
A design or research project for a first-year graduate student under the supervision of a faculty member. A written report must be submitted and an oral report presented. Up to …
This course has been developed for general graduate students and advanced undergraduate students in engineering. Assuming only basic knowledge of matrix operations, differential equations and electric circuits, the course aims …
Studies the dynamics of linear, closed-loop systems. Analysis of transfer functions; stability theory; time response, frequency response; robustness; and performance limitations. Design of feedback controllers. Cross-listed as ECE 6851. Prerequisite: …
A comprehensive treatment of the theory of linear state space systems, focusing on general results which provide a conceptual framework as well as analysis tools for investigation in a wide …
The topics covered are: review of vectors, matrices, and numerical solution techniques; discrete systems; variational formulation and approximation for continuous systems; linear finite element method in solid mechanics; formulation of …
Numerical solution techniques for the partial differential equations governing fluid dynamics; model equations; numerical error analysis using theories in ordinary differential equations and ordinary difference equations; eigensystem analysis; stability, convergence, …