Garces, Ian June L.

Status: 
Full Time
Email: 
ijlgarces@ateneo.edu
Contact No.: 
(+632) 426-6001 local 5681-83
 
Biography: 

PhD Mathematics (1998)
Ateneo de Manila University
 

Courses Taught: 

Undergraduate Courses
MA 18A/B: Principles of Modern Mathematics I & II
MA 20: Calculus for Economists
MA 21: Mathematical Analysis I
MA 22: Mathematical Analysis II
MA 151: Elementary Probability Theory
MA 186: Complex Analysis
MA 187: Real Analysis
MA 195G.1: Seminar in Problem Solving Techniques
MA 196.1: Undergraduate Research Seminar
MA 196.2: Undergraduate Research

Graduate Courses
MA 212: High School Geometry from an Advanced Viewpoint I
MA 245: Introduction to Research and Thesis Writing
MA 247: Fundamental Concepts of Analysis II
MA 248: Topics in Combinatorial Mathematics
MA 265: Modern Real Analysis I
MA 267: Modern Complex Analysis I
MA 295A.2: Seminar in Real Analysis II
MA 295J.2: Seminar on Graph Theory
MA 295U: Research Seminar in Mathematics
 

Research Interest: 

Graph Theory
Integration Theory
 

Research: 

Articles

A. A. Eniego, I. J. L. Garces. Characterization of Completely κ-Magic Regular Graphs. arXiV preprint (2016).

R. P. Ching, I. J. L. Garces. Characterizing 2-Distance Graphs and Solving the Equations T2(X)=kP2 or Km∪Kn. arXiV preprint (2015).

I. J. L. Garces, A. P. Racca. Cauchy extension of Mα-integral and absolute Mα-integrability. International Journal of Mathematical Analysis, 9 (27), 1323-1329 (2015). DOI: 10.12988/ijma.2015.5368.

A. A. Eniego, I. J. L. Garces. On completely κ-magic regular graphs. Applied Mathematical Sciences, 9 (103), 5139-5148 (2015). DOI: 10.12988/ams.2015.56438.

I. J. L. Garces, J. B. Rosario. Computing the Metric Dimension of Truncated Wheels. Applied Mathematical Sciences, 9 (56), 2761-2767 (2015). DOI: 10.12988/ams.2015.52115.

I. J. L. Garces, M. L. Loyola. Revisiting a Number-Theoretic Puzzle: The Census-Taker Problem. arXiV preprint (2012).

I. J. L. Garces, A. P. Racca. Characterizing Convergence Conditions for the Mα-Integral. Journal of the Chungcheong Mathematical Society, 24 (3), 469-480 (2011).

I. J. L. Garces, M. L. Loyola. Revising a Number-Theoretic Puzzle: The Census-Taker Problem. Intersection, 11, 28-38 (2010).

S. A. C. Baluyot, I. J. L. Garces. Linear Operators that Preserve the Edgesum of a Graph. The Loyola Schools Review, 8, 39-47, (2009).

S. R. Canoy, I. J. L. Garces. Convex Sets Under Some Graph Operations. Graphs and Combinatorics, 18 (4), 787–793 (2002). DOI: 10.1007/s003730200065.

A. D. Garciano, I. J. L. Garces, M. Ruiz. On Perfect Cayley Graphs. Electronic Notes in Discrete Mathematics: The Ninth Quadrennial International Conference on Graph Theory, Combinatorics, Algorithms and Applications, 11, 653-680 (2002). DOI: 10.1016/S1571-0653(04)00112-X.

Books

I. C. Coronel, F. F. Francisco, I. J. L. Garces. Math Challenge Questions, Volumes 1-4. Anvil: Pasig (2013).

E. P. Bautista, I. J. L. Garces. Mathematical Excursions: A Problem-Solving Primer for Trainers and Olympiad Enthusiasts. C & E Publishing (2010), ISBN 978-971-584-934-0.

E. A. Cabral, M. L. De Las Peñas, E. De Lara-Tuprio, F. Francisco, I. J. L. Garces, R. Marcelo, J. F. Sarmiento. Pre-calculus. Department of Mathematics, Ateneo de Manila University (2005).

Affiliations: 
National Research Council of the Philippines (Member), Mathematical Society of the Philippines (Member), K-12 Curriculum Coordinating Council Technical Panel - Department of Education (Member)