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:

Associate Professor, 2009 – present (Assistant Professor, 2004 – 2009)
Department of Mathematics, California State University, Fresno

• Duties performed:
  • Preparing and delivering weekly lectures
  • Holding weekly office hours
  • Maintaining a course web page (see links on my home page)
  • Creating examples and homework assignments
  • Writing and grading exams
  • Determining grading standards and student letter grades
• Courses taught:
  • Math 81: Applied Analysis
    • Introduced students to linear ordinary differential equations and techniques for solving them, including solution using Laplace transforms
    • Discussed solution of linear systems of equations using matrices.
    • Introduced eigenvalue theory and its use in solving systems of linear differential equations.
    • Revised course to include more linear algebra, due to the natural relationship between many topics in linear algebra and differential equations
  • Math 121: Numerical Analysis I
    • Discussed numerical methods for finding roots of a nonlinear function; polynomial interpolation; numerical differentiation and integration; direct and iterative solution of linear systems of equations; least squares approximations; and finding approximate eigenvalues.
  • Math 181: Differential Equations
    • Reviewed and elaborated on basic techniques for solving linear ordinary differential equations
    • Discussed power series solutions of differential equations.
    • Developed basic existence and uniqueness theory of ordinary differential equations
    • Introduced students to stability analysis and phase portraits
  • Math 182: Partial Differential Equations
    • Discussed classical methods for solving partial differential equations, including: separation of variables; Fourier series; and method of characteristics
    • Introduced analysis of Sturm-Liouville eigenvalue problems
  • Math 191T: Introduction to Scientific Research
    • Introduced students to the process of doing scientific research, including choosing a topic, finding sources, and presenting work orally and in a paper.
    • Instructed students on the basics of Maple (for numerical investigation), and LaTeX and PowerPoint (for presentation of results).
  • Math 232: Mathematical Models with Technology
    • Introduced students to the process of modeling.
    • Instructed students on the basics of Maple (for investigation of models) and Excel (to solve optimization problems).

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

• Duties performed:
  • Writing course syllabi
  • Preparing and delivering weekly lectures
  • Holding weekly office hours
  • Maintaining a course web page (see links on my home page)
  • Creating examples and homework assignments (posted on course web pages)
  • Writing and grading exams
  • Determining grading standards and student letter grades
• Courses taught:
  • Mathematics courses:
    • Math 33A: Linear Algebra and Applications
      • Introduced students to concepts in linear algebra, including vector spaces and matrices, and linear differential equations.
    • Math 115A: Linear Algebra
      • Elaborated on some topics discussed in lower division linear algebra, including abstract vector spaces, linear independence, and bases; linear transformations and matrices; and eigenvector theory.
      • Introduced students to other topics in linear algebra, including inner product spaces, orthogonality, the Gram-Schmidt process, and the spectral decomposition for self-adjoint matrices.
      • Emphasized techniques for proofs.
    • Math 142: Mathematical Modeling
      • Introduced students to the development of mathematical models through analysis of oscillators, population biology, and traffic flow.
      • Used examples generated with Maple.
    • Math 151A: Applied Numerical Methods
      • Discussed methods for finding the roots of a nonlinear function; polynomial interpolation; numerical differentiation and integration; and direct solution of linear systems of equations.
    • Math 151B: Applied Numerical Methods
      • Instructed students in: numerical methods for solving ordinary differential equations; iterative methods for solving systems of equations; and least squares and discrete Fourier approximations.
  • Computing courses:
    • PIC 1: Introduction to Computers and Computing,
      • Discussed basic hardware and software concerns, what to think about when buying a computer, basic network and Internet structure, and other relevant topics.
    • PIC 10A: Introduction to Programming
      • Instructed students in the basics of programming in C++, including syntax issues, program design and development, and procedural problem solving, using complementary explanations and examples.
    • PIC 10B: Intermediate Programming
      • Discussed abstract data types and their implementation via C++; dynamic data structures, including linked lists, stacks, queues, and trees; recursion; sorting and searching algorithms; and efficiency.
    • PIC 40(A): Programming for the Internet
      • Guided students in the use of Perl, HTML, CGI, CGI.pm, and JavaScript, through explanations and examples.
      • Introduced students to cascading style sheets, XML, and server side includes.
    • PIC 197: Introduction to Scientific Research
      • Continued developing this course, which is aimed at introducing students to the process of doing research.
      • Instructed students in basics of LaTeX, Maple, and PowerPoint.

Teaching Assistant, 1995 – 2000
Department of Mathematics, University of California, Los Angeles

• Duties performed:
• Preparing weekly or twice-weekly presentations of theoretical material and concrete examples
• Posting examples on my web page
• Holding weekly office hours to assist students
• Writing and distributing homework solutions
• Proctoring and grading exams (except for the graduate course)
• Courses taught:
• Math 31C: Infinite Series
• Math 33A: Introductory Matrices and Differential Equations
• Math 135A, Math 135B: Ordinary Differential Equations
• Math 136: Partial Differential Equations
• Math 151A: Applied Numerical Methods
• Math 266A: Ordinary Differential Equations (graduate level)
• PIC 1: Introduction to Computers and Computing
• PIC 10A: Introduction to Programming (in C++)
• PIC 10B: Intermediate Programming (in C++)
• PIC 197: Mathematical Research Using Symbolic Computation

Workshop Leader, 1999 Campuswide Teaching Assistant Training Conference
Office of Instructional Development, University of California, Los Angeles

• Held workshop entitled "Evaluation as a Feedback Loop"
• Designed a workshop using an existing outline and handouts.
• Created a midterm evaluation handout and a grading exercised.
• Led discussion regarding grading, dealing with academic dishonesty, and obtaining daily feedback in the classroom.

Summer Teaching Assistanceships, 1998 and 1999
Department of Mathematics, University of California, Los Angeles

• PIC 10B: intermediate programming:
• Math 135A: ordinary differential equations
• Math 151A: applied numerical methods

Tutor/Individualized Instructor, 1991 – 2000
Academic Guidance Services, Los Angeles, California

• Taught various high school and junior high school courses, one-on-one, including biology, chemistry, general science, and math.
• Wrote course syllabi
• Created and graded exams and quizzes
• Assigned and graded homework problems
• Assigned final grades based on performance on exams, quizzes, and homework assignments.
• Tutored students of all grade levels in a variety of subjects, including high school biology, chemistry, physics, and Spanish, and mathematics of all grade levels (through first year Calculus); coached students for test preparation (high school and college entrance exams, Graduate Record Exam, etc.)

PROFESSIONAL ACTIVITIES:

• Membership in Southern California Section NExT, 2002-present.
  • 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.
• Judge, Best Student Poster at the Joint Mathematics Meetings, January 2002-January 2007.
• Chair, AMS Numerical Analysis Session at the Joint Mathematics Meetings, January 2001.

PROFESSIONAL/COMMUNITY SERVICE:

• Judge, Best Student Poster at the Joint Mathematics Meetings, 2000-.
• Moderated second half of the MAA Session on General Contributed Papers, VI, at the Joint Mathematics Meetings (January 14, 2010).
• 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.
• Member of department catalog and curriculum committee at California State University, Fresno, 2005-present (chair 2006-2009).
• Member of college catalog and curriculum committee at California State University, Fresno, Fall 2006.
• Wrote and proctored selected exams for Math Field Day, California State University, Fresno, 2005-present.
• Mathematics head judge, Senior Division, in the 55th and 56th Annual Central California Regional Science, Mathematics, and Engineering Fair, March 2008, March 2009
• Physics head judge and mathematics judge, Senior Division, in the 53rd Annual Central California Regional Science, Mathematics and Engineering Fair, March 2006.
• Mathematics judge, Senior Division, in the 52nd Annual Central California Regional Science, Mathematics and Engineering Fair, March 2005.
• 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.

PUBLICATIONS:

• Doreen De Leon, Euler-Cauchy and Undetermined Coefficients, to appear as a Classroom Capsule in the May 2010 edition of The College Mathematics Journal.
• Doreen De Leon, A Wavelet Multigrid Method Applied to the Stokes and Incompressible Navier-Stokes Problems, submitted for publication.
• Doreen De Leon, A new wavelet multigrid method, Journal of Computational and Applied Mathematics, 220 (2008), pp. 674-685.

PRESENTATIONS:

• 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, Wavelet Techniques Applied to Multigrid Methods (UCLA Mathematics Department CAM Report 00-42, December 2000, latest revision: October 2003).
• 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.
• Doreen De Leon, Wavelet Operators Applied to Multigrid Methods (Ph.D. Thesis), UCLA Mathematics Department CAM Report 00-22.

RESEARCH EXPERIENCE:

• Current resarch: CSU Fresno Department of Mathematics, 2004 – present
  • Investigation into alternate approaches to solving nonhomogeneous Euler-Cauchy equations.
  • Evaluation and implementation of possible numerical methods for doctoral research, with the goal of improving the performance in solving second order differential equations.
  • Evaluation and implementation of doctoral research to Navier-Stokes equations.
• Post-doctoral research: UCLA Department of Mathematics, 2000 – 2004
  • Applied dissertation research to solve anisotropic diffusion problems and to Stokes equations with various boundary conditions.
  • Investigated application of dissertation research to problems in computational fluid mechanics.
  • Research into image processing techniques, especially applications of multigrid methods to image denoising and segmentation.
• Doctoral Research: UCLA Department of Mathematics, 1997 – 2000
  • Advisor: Professor Bjorn Engquist
  • Applied wavelet operators to multigrid methods in two dimensions, specifically the V-cycle, to improve their performance in solving second order partial differential equations, such as elliptic problems with discontinuous or highly oscillatory coefficient functions, as well as advection-dominated advection-diffusion problems.

RESEARCH INTERESTS:

• Multigrid methods and the application of wavelet transforms to improve the performance of multigrid methods.
• Image processing techniques, particularly the application of multigrid methods to image denoising and image segmentation.

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

ADDITIONAL ACTIVITIES:

• Graduate Student Outreach, UCLA, 1995 – 2000
• Vice-president January 2000 – June 2000.
• Involved in recruiting and mentoring in 1998 and 1999; participated in grading for the American Regions Mathematical League (ARML) meet in 1999 and 2000; co-moderated the Spring 1999 and moderated the Spring 2000 discussion on choosing an advisor.