Ciprian Stefan Mancas

Professor of Mathematics and Associate Chair of the Department of Mathematics
Mathematics Department
Daytona College of Arts & Sciences

Office Hours

M,W,F 12:00-1:00 and T 11:00-12:00

Areas of Expertise

1. PDEs: nonlinear evolution equations, water waves, soliton interactions, hydrodynamics and fluid mechanics

2. ODEs: nonlinear dynamical systems, bifurcation theory, integrability of Riccati and Abel equations, special functions

3. Mathematical physics, differential geometry, cosmology and inflation, nonlinear optics

Ciprian Stefan Mancas

Dr. Mancas  received a Ph.D. in Applied Mathematics from the University of Central Florida in May 2007 under the supervision of Dr. Roy S. Choudhury, with the dissertation topic "Dissipative Solitons in the cubic-quintic Complex Ginzburg Landau equation: Bifurcations and Spatiotemporal Structure" for which he received the Outstanding Dissertation Award in 2008.

Currently, Dr. Mancas is a full Professor and Associate Chair in the Department of Mathematics at Embry-Riddle Aeronautical University.  His current areas of research activities involve finding analytical solutions to nonlinear evolution equations and dynamical systems. The methods used are based primarily on bifurcation theory for dynamical systems, and techniques involving special functions and complex analysis with applications to water waves, soliton theory, biological systems, cosmology and inflation for evolution equations.

He is the co-founder of the nonlinear Waves Lab which contains a 10 m. long water tank used for research in water waves, solitons in shallow water, vortex solitons, soliton ships, surface waves and wind-wave interaction, microcavitation, design and optimization, submarine currents, autonomous underwater vehicles, tractor beams, etc. He is also the organizer of national and international conferences in applied mathematics, and holds a strong record of publications with over forty articles in refereed journals, and many invited conferences and seminars.

  • Ph.D. - Doctor of Philosophy in Mathematics, University of Central Florida
  • M.S. - Master of Science in Mathematical Science, University of Central Florida
  • B.S. - Bachelor of Science in Mathematics, University of Central Florida

  • MA 243: Calculus & Analytical Geom III
  • MA 348: Numerical Analysis I

Graduate courses

Boundary Value Problems (MA 502), Numerical Methods in Fluids (MA 595)

Honors courses

Calculus with Analytic Geometry III (MA 243 H), Differential Equations and Matrix Methods (MA 345H)

4th year courses

Linear Algebra (MA 432), Advanced Engineering Mathematics I (MA 441), Advanced Engineering Mathematics II (MA 442), Complex Analysis (MA 443), Numerical Methods in Fluids (MA 488), Special Topics (Capstone) (MA 499)

3rd year courses

Differential Equations and Matrix Methods (MA 345), Numerical Analysis I (MA 348/MA 438), Special Topics (MA 399)

2nd year courses

Calculus with Analytic Geometry I, II and III (MA 241, MA 242 and MA 243), Business Statistics (MA222)

1st year courses

College Mathematics for Aviation I (MA 111), College Mathematics for Aviation II (MA 112), Analytic Trigonometry (MA 142)

Study Abroad Program: Greece and Germany

A Stardust Odyssey June 20019- July 2019

Embry-Riddle Aeronautical University, Daytona-Beach, USA

Professor August 2018 - present

Associate Chair August 2017 - present

Associate Professor August 2013 - July 2018

Hochschule Munchen/ Munich University of Applied Sciences, Munich, Germany

UAS7 Research Professor Fellowship March 2015 - August 2015

Diefferentiation in Rn and Ordinary Diefferential Equations

Logic & Proof (new class developed for the Computer Science majors)

Tribhuvan University, Kathmandu, Nepal

Summer School July 2013

Advanced Partial Differential  Equations: Theory of Water Waves

Embry-Riddle Aeronautical University, Daytona-Beach, USA

Assistant Professor August 2007 - July 2013

1. ESA, European Space Agency, EAC Summer Showcase, Koln, Germany, July 2019

2. IPICyT, Instituto Potosino de Investigation Cientifica y Tecnologica, San Luis Potos, Mexico, July 2017

3. LeCosPA, Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, December 2014

4. ICTP, International Centre for Theoretical Physics, Summer School on Cosmology, Trieste, Italy, August 2014

5. IMECC-UNICAMP, Workshop on Nonlinear Dispersive Equations, Institute of Mathematics, State University of Campinas, Brazil, October 2013

6. IPICyT, Instituto Potosino de Investigation Cientifica y Tecnologica, San Luis Potos, Mexico, August 2013

7. Secondary Calculus, Levi-Civita Institute, Diffiety School, July 2011

8. Classical and Quantum Integrable Models, EPSRC/ London Mathematical Society, University of Kent, UK, July 2010

9. Universita degli Studi di Milano, Italy, Dipartimento di Filologia Moderna, Italian language and culture summer scholarship,

May - July 2006

10. NSF-UCF, 3D Optical Memory, Ecole Normale Superieur, Paris, France, May - September 2001

1. External (funded) (total $104,000)

#1 MUAS, Hochschule Munchen/Munich University of Applied Sciences -- Visiting Research Fellowship, March-August 2015, $18,000
#2 GFS Corp, Efficiency of a Diffuser -- CoPI, Summer 2012-2013, $31,000, with A. Ludu (PI)
#3 NASA-FSGC, Florida Space Grant Consortium, Aerodynamic Stability of Satellites in Elliptic Low Earth Orbits -- PI, Fall 2009 -- Spring 2010, $20,000, with B. Udrea (CoPI)
#4 UCF,  Undergraduate to graduate fellowship,  Fall 2002 -- Fall 2004, $20,000
#5 NSF/REU International research fellowship -- College of Optics and Photonics, (CREOL) and Ecole Normale Superieur, Paris, France, May -- August 2001, $15,000

2. Internal (funded) (total $233,500)

#1 IGNITE-ERAU, Soliton Ship -- Faculty adviser to build an efficient soliton ship with Honors College students, Summer 2014, $10,000
#2 ERAU, Nonlinear Waves Lab (NLWL3) -- to build a wave tank 32' x 4' x 4', President's Office, Spring 2014, $136,000, with A. Ludu
#3 ERAU Faculty Internal Research Award,  An Investigation on the Nature of MicroCavitation Bubbles on the Movement of Undersea Vessels --  Summer 2013 -- Summer 2014, $5,500
#4 CNLS-2013, Summer Conference and Summer School --  Kathmandu, Nepal, Summer 2013, $15,000, with H. Khanal (CoPI)
#5 ERAU, Nonlinear Waves Lab (NLWL2) -- to build a wave tank 16' x 4' x  4'  President's Office, Summer 2011-Summer 2012, $35,000, with A. Ludu
#6 ERAU, Faculty Development Funding,  President's Office, Summer 2011, $3,500
#7 ERAU, Educational Technology", March 2011 to develop the Computational Math Lab (LB 120) with 8 Linux computers, and expanded later to 15 Linux computers in COAS 301.39, $10,500
#8 ERAU Faculty Internal Research Award, Chaotical and Erupting Solitons in the Ginzburg--Landau Equation -- July 2009 -- June 2010, $7,500
#9 ERAU Faculty Internal Research Award, Spatiotemporal Structure of Dissipative Solitons in the cubic--quintic Ginzburg--Landau equation -- July 2008 -- June 2009, $10,500