Niels Otani
Associate Professor
School of Mathematics and Statistics
College of Science
585-475-5140
Office Location
Niels Otani
Associate Professor
School of Mathematics and Statistics
College of Science
Education
BA, University of Chicago; Ph.D., University of California at Berkeley
585-475-5140
Areas of Expertise
Applied and Computational Mathematics
Biomechanical Imaging
Cardiac Electrical Dynamics
Cardiac Electrophysiology
Chaos
Computational Biology
Computational Modeling
Differential Equations
Dynamical Systems
Image Processing
Inverse Problems
Linear Algebra
Mathematical Biology
Mathematical Modeling
Modeling and Simulation
Partial and Ordinary Differential Equations
Partial Differential Equations
PDE
Scientific Computing
Visualization and Simulation
Currently Teaching
MATH-241
Linear Algebra
3 Credits
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.
MATH-331
Dynamical Systems
3 Credits
The course revisits the equations of spring-mass system, RLC circuits, and pendulum systems in order to view and interpret the phase space representations of these dynamical systems. The course begins with linear systems followed by a study of the stability analysis of nonlinear systems. Matrix techniques are introduced to study higher order systems. The Lorentz equation will be studied to introduce the concept of chaotic solutions.
MATH-790
Research & Thesis
0 - 9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.
In the News
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May 29, 2019
![Two head-and-shoulder shots of male researchers.]()
RIT researchers receive NSF award to develop new diagnostic tool for cardiac disease
Researchers at RIT are providing a better map to the human heart. They are developing a critical tool that will help clinicians identify damaged areas in the heart to more accurately diagnose cardiac disease.
