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Cesar O. Aguilar

Associate Professor
South 325A
585-245-5398
aguilar@geneseo.edu

Cesar Aguilar has been a member of the Geneseo faculty since 2016. Visit his personal website.

Curriculum Vitae

Education

  • Ph.D. in Applied Mathematics - Queen’s University (Canada), 2010

  • M.Sc. in Electrical & Computer Engineering - University of Alberta, 2005

  • B.Sc. in Mathematics & Engineering - Queen’s University, 2003

Employment

  • 2020-Present - Associate Professor, Mathematics, State University of New York, Geneseo, NY

  • 2016-2020 - Assistant Professor, Mathematics, State University of New York, Geneseo, NY

  • 2013–2016 - Assistant Professor, Applied Mathematics - California State University, Bakersfield, CA

  • 2010–2013 - National Research Council Postdoctoral Fellow in Applied Mathematics - Naval Postgraduate School, Monterey, CA, Advisor: Arthur Krener

  • Spring 2010 - Postdoctoral Fellow in Mathematics - Queen’s University, Kingston, ON

Research Interests

  • Control theory and ordinary differential equations: nonlinear control, optimal stabilization, output trajectory tracking, graph-theoretic methods in control theory

  • Computational methods: Hamilton–Jacobi PDEs, center manifolds of ODEs, networked control systems

  • Applications: Electrical and mechanical systems, multi-agent dynamical systems

Professional Memberships

  • Society for Industrial and Applied Mathematics (SIAM)

  • Mathematical Association of America (MAA)

Classes

  • MATH 222: Calculus II

    Topics studied are methods of integration, applications of definite integrals, sequences, improper integrals, and series, parametric equations and polar coordinates.

  • MATH 230: Programming & Math Prob Solvin

    This course serves as an introductory programming course for Mathematics majors. Basic programming techniques for solving problems typically encountered by mathematicians will be developed. The course covers basic procedural techniques such as algorithms, variables, input/output, data types, selection, iteration, functions and graphing. Good programming and commenting practices will be emphasized. The programming language for the course will be a mathematical programming language.

  • MATH 324: Real Analysis I

    A study of the underlying theory of elementary calculus. Topics include the structure and properties of the real numbers, sequences, functions, limits, continuity, the derivative, the Riemann integral, and Taylor's theorems.