- Faculty of Engineering
- Department of Mathematics
- Senior Lecturer Grade I
Contact information
Department of Mathematics
Faculty of Engineering
University of Moratuwa
Moratuwa
10400
Teaching and Administrative Activities
Calculus -Undergraduate -2016
Calculus for System Medelling -Undergraduate -2016
Methods of Mathematics -Undergraduate -2015
Numerical Methods for Computer Science -Undergraduate -2015
Differential Equations -Undergraduate -2015
Calculus for System Medelling -Undergraduate -2015
-Faculty Academic Committee ( To date)
Research Activities
Pure Mathematics
Applied and Engineering Mathematics
Mathematical Physics and Engineering
Education and Professional Affiliations
Bachelor's, University of Moratuwa ,2004 Electronics and Telecommunications Engineering
PhD, Texas Tech University ,2013 Mathematics
Masters, Texas Tech University ,2010 Mathematics
Masters, University of Moratuwa ,2006 Mathematics
Bachelors, University Of Moratuwa ,
Bachelors, University Of Moratuwa ,
SLAAS( To date)
AMS, Member/American Mathematical Society( To date)
MAA, Member/Mathematical Association of America( To date)
SLAAS, Life Member/Sri Lanka Association of Advancement of Science( To date)
SIAM, Society for Industrial and Applied Mathematics(2010 To date)
SLAIHEE Sri Lanka Association for Improving Higher Education Effectiveness(2008 To 2009)
ASASL, Applied Statistics Association of Sri Lanka(2008 To 2009)
Career
Honours and Awards
Best Speaker-Master?s Category (Title: Brannan Conjecture for Initial Coefficients), Graduate Students? Research Day, SIAM, Texas Tech University (Received 2010)
Publications*
Saba Nafees,".Making Polyhedra: a Hands-on Experience.", MOVES Conference,Museum of Mathematics, New York,2013,
Roger W. Barnard, Alexander Yu. Solynin,".Brannan Conjecture and Trigonometric Sums.",Proceedings of the American Mathematical Society,143,2015
,".Brannan Conjecture for Initial Coefficients.",Complex Variables and Elliptic Equations,58,2013
,".Calculations on Face and Vertex Regular Polyhedra.",The Mathematical Gazette,89,2005
Journal Publications:
Jayatilake U.C./Calculations on Face and Vertex Regular Polyhedra/Mathematical Gazette-UK/March 2005.
Jayatilake U.C., A New Relation in Golden Ratio. http://www.mathworld.wolfram.com (accepted for publication), 2003.
Jayatilake U.C., Problems in the Duality Theorem. Carrier Magazine-University of Moratuwa, Sri Lanka, 2003.
Conference Publications:
Jayatilake U.C., Epsilon and Delta Distributions in Random Variables and Stochastic Processes. 13th ERU Symposium-University of Moratuwa, Sri Lanka, 2007.
Pesentations:
Brannan Conjecture: General Method and Particular Results, Analysis Seminar, Department of Mathematics and Statistics, Texas Tech University, March 24(part 1); March31(part II), 2010.
Brannan Conjecture for Initial Coefficients, Graduate Students’ Research Day, SIAM, Texas Tech University, 8th April, 2010.
Face and Vertex Regular Polyhedra, 9.05 television program, Sri Lanka Rupavahini Corporation, 1999.
Colour Matching Device , Presentation, IEE young members’ forum-Sri Lanka, 2002.
My Findings in Mathematics, Departmental Seminar, Department of Mathematics, University of Moratuwa, Sri Lanka, 2001.
Face and Vertex Regular Polyhedra, Annual Sessions, SLAAS (Sri Lanka Association for Advancement of Science), 2000.
Volume of N-Dimensional Ball and Sum of Volumes, Annual Sessions, SLAAS (Sri Lanka Association for Advancement of Science), 2001.
Use of Scientific Calculators for Teaching Engineering Mathematics, CTHE course, University of Colombo, Sri Lanka, 2007.
Some Innovative Practices in Teaching, Department of Mathematics, Faculty of Engineering, University of Moratuwa, Sri Lanka, Quality Assurance and Accreditation (QAA) Council of University Grants Commission’s visit to the Department, 2008.
Books
Answers to Assignments with Explanations, Book, ISBN 995-99018-0-X, 2005