"Education without values, as useful as it is, seems rather to make man a more
clever devil."- C.S. Lewis
"Geometry is the study of properties of space that are invariant under a given
group of transformations."- Felix Klein
My name is Jason Nightingale and I am a graduate student at the University of
Notre Dame. I am attempting to pursue a joint Ph.D. in mechanical engineering
and mathematics.
Advisors
- Dr. Bill Goodwine, Associate Professor, Department of Aerospace and
Mechanical Engineering
-
Personal Webpage
- Dr. Richard Hind,
Associate Professor, Department of Mathematics
-
Personal Webpage
Research
My research interests include nonlinear control theory, geometric mechanics,
affine differential geometry and Riemannian geometry.
Presentations
Here are several recent presentations.
Jason Nightingale, "A Tour of Differential Geometry," AME 57104 Engineering
Analysis, 07 November 2006. (pdf
)
Jason Nightingale, "Input Foliation and Control Quadratics for Simple
Mechanical Control Systems," 20th Aerospace and Mechanical Engineering Graduate
Student Conference, University of Notre Dame, 19 October 2006. (pdf)
Course Work
Here is a list of courses I have taken at the University of Notre Dame. One of
the most enjoyable parts of my course work has been learning from more than 15
different professors that teach in various departments including Aerospace and
Mechanical Engineering, Mathematics, Electrical Engineering and Chemical
Engineering. I am very thankful for each professor and there unique
contribution to my education.
| Semester
|
| 2003
|
| 2004
|
| 2005
|
| 2006
| |
| Fall
|
|
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Mathematical Methods I
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Numerical Methods
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Advanced Control Systems
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Nonlinear Control Theory
|
|
-
Linear Systems
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Optimal Control
|
|
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Nonlinear Dynamical Systems
-
Differential Geometry
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Differentiable Manifolds
|
|
-
Basic Complex Analysis I
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Numerical Analysis I
| |
| Spring
|
|
-
Mathematical Methods II
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Analytical Dynamics
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Topics in Applied Math: Optimization
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Advanced Kinematics
|
|
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Multivariable Control Systems
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Kinematics of Human Motion
|
|
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Topics: Riemannian Geometry
|
|
| |
Teaching Assistant
I have served as a teaching assistant for the following courses at the
University of Notre Dame. I have included a brief description of each course.
- Advanced Control Systems (Fall 2005)
-
This graduate course is an introduction to the basic ideas of control theory,
and with an emphasis on single-input, single-output (SISO), finite-dimensional,
time-invariant, linear systems.
- Senior Design (Fall 2005, Fall 2006)
-
This course represents the "capstone project" in the undergraduate mechanical
engineering education at the University of Notre Dame.
- Design Methodologies
(Spring 2006)
-
This undergraduate course focuses on modeling and analysis of mechanical
systems. Specifically, students taught automated design decision processes,
statistical methods, materials engineering, requirements definition and product
specifications.
- Computer Aided Design and Manufacturing (Fall 2003, Spring 2004,
Spring 2005, Fall 2005, Spring 2006)
-
This undergraduate course provides an introduction to the basic tools in
Computer-Aided Design and Computer-Aided Manufacturing. In addition,
undergraduates are introduced to basic concepts of computer aided manufacturing
and prototyping.
Hockey
My life prior to differential geometry and nonlinear control theory. Here are a
few hockey links. Hockey Links
WOW! Adam has delivered a few of these over his career.
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Jared and Adam, we will miss the road trips to Munn and the Joe.
| |
Last updated: November 3, 2006.
Jason Nightingale
(jnightin@nd.edu)
