Meet the Faculty | Pepperdine University | Seaver College

Meet the Faculty

Photo of Timothy Lucas

Timothy Lucas

Associate Professor of Mathematics

Division: Natural Science Division
Office: Rockwell Academic Center (RAC) 105
Phone: (310) 506-4479
E-mail: timothy.lucas@pepperdine.edu

  • Ph.D., Mathematics, Duke University, 2006
  • M.A., Mathematics, Duke University, 2001
  • A.B., Mathematics, Occidental College, 2000, With Honors
Courses:
  • Calculus I, II and III
  • Calculus for Business and Economics
  • Probability, Linear Systems, and Multivariable Optimization
  • Biostatistics
  • Linear Algebra
  • Differential Equations
  • Partial Differential Equations
  • Complex Variables
Key Awards/Affiliations:
  • Phi Beta Kappa Honor Society
  • L.P. and Barbara Smith Award for Teaching Excellence, Duke University Mathematics Department, August 2004
  • MAA Project NExT Fellow, 2008-2009
  • Member: Mathematical Association of America, American Mathematical Society, Society for Industrial and Applied Mathematics
Academic Interests:
  • Fire Ecology
  • Mathematical Biology
  • Numerical Analysis
  • Parallel Computing
  • Partial Differential Equations
  • Stochastic Differential Equations
Selected Works:
  • William R. Milligan, Marjorie T. Jones, Lee B. Kats, Courtney L. Davis, and Timothy A. Lucas. Predicting the effects of manual crayfish removal on California newt persistence in Santa Monica Mountain streams. Ecological Modelling, 352:139-151, 2017.
  • Marjorie T. Jones, William R. Milligan, Lee B. Kats, Thomas L. Vandergon, Rodney L. Honeycutt, Robert N. Fisher, Courtney L. Davis, and Timothy A. Lucas. A discrete stage-structured model of newt population dynamics during a period of drought. Journal of Theoretical Biology, 414:245-253, 2017.
  • Timothy A. Lucas, Reanna A. Doña, Wancen Jiang, Garrett C. Johns, Dayna J. Mann, Cassandra N. Seubert, Noah B.C. Webster, Charlotte H. Willens, and Stephen D. Davis. An individual-based model of chaparral vegetation response to frequent wildfires. Theoretical Ecology, 10:217-233, 2017.
  • Junyuan Lin and Timothy A. Lucas. A particle swarm optimization model of emergency airplane evacuations with emotion. Networks and Heterogeneous Media, 10(3):631-646, 2015.
  • Timothy A. Lucas, Garrett Johns, Wancen Jiang, and Lucie Yang. A population model of chaparral vegetation response to frequent wildfires. Bulletin of Mathematical Biology, 75(12):2324-2345, 2013.
  • Brian Fisher, Timothy A. Lucas, and Araksi Galstyan. The role of iPads in constructing collaborative learning spaces. Technology, Knowledge and Learning, 18(3):165-178, 2013.
  • Timothy A. Lucas. Numerical solutions of an immunology model using reaction-diffusion equations with stochastic source terms. SIAM J. Numer. Anal., 49(6), 2011
  • Timothy A. Lucas and Joseph Spivey. A transition course from advanced placement to college calculus. PRIMUS, 21(5):417-433, 2011
  • Timothy A. Lucas. Operator splitting for an immunology model using reaction-diffusion equations with stochastic source terms. SIAM J. Numer. Anal., 46(4), 2008
  • Faheem Mitha, Timothy A. Lucas, Feng Feng, Thomas B. Kepler, and Cliburn Chan. The multiscale systems immunology project: Software for cell-based immunological simulation. Source Code for Biology and Medicine, 3(6), 2008