DOREEN DE LEON
Department of Mathematics
5245 North Backer Avenue, M/S PB108
California State University, Fresno
Fresno, CA 93740
Phone: (559) 278-4009
E-mail: doreendl@csufresno.edu
Internet: http://zimmer.csufresno.edu/~doreendl

EDUCATION:

University of California, Los Angeles

• Doctor of Philosophy, Mathematics, Spring 2000
  • Dissertation advisor: Professor Bjorn Engquist
  • Specialization: Numerical Analysis
  • Dissertation: Wavelet Operators Applied to Multigrid Methods
• Master of Arts, Mathematics, Fall 1996
• Bachelor of Science, Electrical Engineering, Fall 1991
  • Graduated Summa Cum Laude.
  • Specialization: Control Systems

TEACHING EXPERIENCE:

Professor, 2004 – present
Department of Mathematics, California State University, Fresno

• Courses taught:
  • Math 75: Calculus I
  • Math 76: Calculus II
  • Math 81: Elementary Differential Equations with Linear Algebra
  • Math 111: Transition to Advanced Mathematics
  • Math 121: Numerical Analysis I
  • Math 123: Mathematical Modeling
  • Math 128: Applied Complex Analysis
  • Math 152: Linear Algebra
  • Math 181: Differential Equations
  • Math 182: Partial Differential Equations
  • Math 191T: Introduction to Scientific Research
  • Math 191T: Mathematical Modeling
  • Math 232: Mathematical Models with Technology
• Independent Studies Supervised
  • Spring 2020: Graduate student studying ordinary differential equations
  • Spring 2013: Graduate student studying numerical methods for sparse linear systems of equations.
  • Fall 2007: Undergraduate student studying numerical methods for solving differential equations.
  • Fall 2006-Spring 2007: Graduate student studying optimization (Fall 2006) and application to stocking problems (Spring 2007).
• Graduate Projects Supervised
  • Fall 2013: Preconditioned Multigrid.
  • Fall 2007-Spring 2008: The joint-replenishment problem with minimum order quantities and quantity discounts.

Adjunct Assistant Professor, 2000 – 2004
Department of Mathematics, Program in Computing, University of California, Los Angeles

• Courses taught:
  • Mathematics courses:
    • Math 33A: Linear Algebra and Applications
    • Math 115A: Linear Algebra
    • Math 142: Mathematical Modeling
    • Math 151A and Math 151B: Applied Numerical Methods
  • Computing courses:
    • PIC 1: Introduction to Computers and Computing
    • PIC 10A: Introduction to Programming
    • PIC 10B: Intermediate Programming
    • PIC 40(A): Programming for the Internet
    • PIC 197: Introduction to Scientific Research

PUBLICATIONS:

• De Leon, Doreen, Using Undetermined Coefficients to Solve Certain Classes of Variable-Coefficient Equations, The American Mathematical Monthly, Volume 122, No. 3 (2015), pp. 246-255.
• Doreen De Leon, A Wavelet Multigrid Method Using Symmetric Biorthogonal Wavelets, American Journal of Computational Mathematics, Volume 3, No. 2 (2013), pp. 127-136.
• Adnan Sabuwala and Doreen De Leon, Particular Solution to the Euler-Cauchy Equation with Polynomial Non-Homogeneities, Discrete and Continuous Dynamical Systems, 2011, Dynamical systems, differential equations and applications, 8th AIMS Conference, Suppl. Vol. II, pp. 1271–1278.
• Doreen De Leon, Euler-Cauchy and Undetermined Coefficients, a Classroom Capsule in The College Mathematics Journal, Volume 41, No. 3 (2010), pp. 236-237.
• Doreen De Leon, A Wavelet Multigrid Method Applied to the Stokes and Incompressible Navier-Stokes Problems, Journal of Mathematical Sciences: Advances and Applications, Volume 1, No. 3 (2008), pp. 601-622.
• Doreen De Leon, A new wavelet multigrid method, Journal of Computational and Applied Mathematics, 220 (2008), pp. 674-685.
• Doreen De Leon, Wavelet Techniques Applied to Multigrid Methods (UCLA Mathematics Department CAM Report 00-42, December 2000, latest revision: October 2003).
• Doreen De Leon, Wavelet Operators Applied to Multigrid Methods (Ph.D. Thesis), UCLA Mathematics Department CAM Report 00-22.

PRESENTATIONS:

• Doreen De Leon, Introduction to Wavelets, MATH 191T invited lecture, February 27, 2020.
• Doreen De Leon, Deterministic Compartmental Models of Disease, MATH 191T invited lecture, February 20, 2020.
• Doreen De Leon, Using Undetermined Coefficients to Solve Certain Classes of Variable-Coefficient Equations, 2015 MAA/CURM Intermountain Section Conference, March 20, 2015.
• Doreen De Leon, Introduction to Iterative Methods for Solving Sparse Linear Systems, Mathematics Department Seminar, April 19, 2013.
• Doreen De Leon, A Wavelet Multigrid Method Using Symmetric Biorthogonal Wavelets, Joint Mathematics Meetings, January 11, 2013.
• Doreen De Leon, Undetermined Coefficients – Not Just for Constant-Coefficient Equations Anymore, Joint Mathematics Meetings, January 9, 2011.
• Doreen De Leon, Euler-Cauchy and Undetermined Coefficients, Joint Mathematics Meetings, January 14, 2010
• Doreen De Leon, An Euler-Cauchy Surprise, MAA MathFest, August 6, 2009.
• Doreen De Leon, A Simple Solution to Euler-Cauchy Problems with Polynomial Right-Hand Sides, Mathematics Department Seminar, October 16, 2008.
• Doreen De Leon, An Euler-Cauchy Surprise, Mathematics Department Seminar, April 17, 2008.
• Doreen De Leon, A New Wavelet Multigrid Method Applied to the Incompressible Navier-Stokes Problem, Joint Mathematics Meetings, January 8, 2008.
• Doreen De Leon, A New Wavelet Multigrid Method, Joint Mathematics Meetings, January 8, 2007.
• Doreen De Leon, Introduction to Multigrid Methods I, II, and III Mathematics Department Seminar, May 2, 2006, October 10, 2006, November 7, 2006.
• Doreen De Leon, Integrating MAPLE into Mathematics Courses, poster, Regional Conference on Excellence in Teaching and Learning, March 24, 2006.
• Doreen De Leon, Warming Students Up to Mathematics, MAA Mathfest, August 6, 2005.
• Doreen De Leon, Uses of MATLAB and Maple in Mathematical Research and Instruction, Science II Grand Opening, CSU Fresno, March 11, 2005.
• Doreen De Leon and John J. Westman, Introduction to Scientific Research: A Group Approach to Individual Undergraduate Research, MAA Mathfest, August 1, 2002.
• Doreen De Leon, Wavelet Techniques Applied to Multigrid Methods, Joint Mathematics Meetings, January 12, 2001.
• John J. Westman and Doreen De Leon, An Introduction to Scientific Research: Modeling with Maple, MAA Mathfest, August 3, 2000.

PROFESSIONAL/COMMUNITY SERVICE:

• Wrote and proctored Mad Hatter exams for Math Field Day, 2005–present.
• Participated in Sonia Kovalevsky Day, 2013–present.
• Wrote/proofread questions for the Integration Bee, Spring 201–present.
• Moderated Session 3 at the 2015 Graduate Research and Creative Activities Symposium (May 7, 2015).
• Judge, Best Undergraduate Presentation in Mathematics, at the 36th Annual Central California Research Symposium (April 22, 2015).
• Moderated a morning session at the 2015 Spring MAA/CURM Intermountain Section Conference (March 20, 2015).
• Member of the CORE reviewers, reviewing community college courses to ensure compliance with C-ID descriptors, Fall 2013-present.
• Judge, Best Student Poster at the Joint Mathematics Meetings (2002-2008, 2010, 2011, 2013).
• Assistant Editor of International Journal of Applied Mathematics and Statistics, 2005–present.
• Reviewed the paper “Homotopy Method for the Eigenvalues of Symmetric Tridiagonal Matrices Journal of Computational and Applied Mathematics,” Journal of Computational and Applied Mathematics (November 2011, March 2012, April 2012, June 2012).
• Reviewed the paper “Multiscale computation with adaptive wavelet-hierarchical method,” International Journal for Numerical Methods in Engineering (December 2008-January 2009, June 2009).
• Reviewed “One-step 9-stage Hermite-Birkhoff-Taylor ODE Solver of order 10,” Journal of Applied Mathematics and Computing (July–September 2008).
• Reviewed “Wavelet-Galerkin Solutions of One Dimensional Elliptic Problems,” Journal of Computational and Applied Mathematics (February 2008).
• Judge, Senior Division, at the 52nd, 53rd, 55th, 56th, 58th, and 59th Annual Central California Regional Science, Mathematics and Engineering Fairs (2008–2009 – Head Math and Computer Science Judge; 2006 – Head Physics Judge).
• Moderated second half of the MAA Session on General Contributed Papers, VI, at the Joint Mathematics Meetings (January 14, 2010).
• Reviewed the online textbook A First Course in Linear Algebra for the Affordable Textbooks Campaign (July 2009).
• Member of the TCSU review pool, reviewing community college courses for CSU credit, Fall 2006-Fall 2009.
• Faculty mentor, California State University, Fresno, 2005-present.
• Assistant Editor of the International Journal of Applied Mathematics and Statistics.
• Member of various department, college, and university committess, chair of some of these committees.
• Wrote and proctored selected exams for Math Field Day, California State University, Fresno, 2005-present.
• Participated in Sonia Kovelvsky Day, 2013-present.
• Faculty mentor, Math 99, Math and Science Scholars Seminar, UCLA, Winter 2003.
• Panelist, Education 197J, Academic Success in the Undergraduate Experience, UCLA, Winter 2003.
• Facilitator, summer undergraduate research project in simulated annealing and genetic algorithms, Summer 2001.
• Panelist, Math 495, Teaching College Mathematics, UCLA, Fall 2001, Fall 2002.
• Chair, AMS Numerical Analysis Session at the Joint Mathematics Meetings, January 2001.

OTHER PROFESSIONAL ACTIVITIES:

• Membership in Southern California Section NExT, 2002-2008.
  • Goals:
    • Establish collaboration between individuals at different types of educational institutions.
    • Expose participants to new trends and innovations in undergraduate education.
    • Provide a forum for the open discussion of needs and concerns of new faculty.
    • Encourage participation in the activities of the Southern California section of the MAA.
    • Match a new faculty member with a mentor located at a similar institution.
    • Encourage the participation in training of future teachers.

RESEARCH INTERESTS:

• Investigation into solution methods for nonhomogeneous ordinary differential equations.
• Numerical methods, especially multigrid methods and applications of wavelets.

PROFESSIONAL SOCIETIES:

American Mathematical Society, 1995 – present
Association for Women in Mathematics, 1995 – 1996, 1998 – present
Mathematical Association of America, 1995 – 1996, 1999 – present
Tau Beta Pi (engineering society), 1990 – present