CV and Pubs

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C.v.

2016 download

Pubs

Please do not distribute the drafts as there may be minor differences between a draft ms. and the published article.

  • "The Power of Two ... in Poetry?" (with Amy Shell-Gellasch) Math Horizons (Nov 2015), pp.28--29.
    Draft ms.


  • "Binary powering in ancient India," MathAMATYC Educator. 4:3 (May 2013), pp.4--7.
    Draft ms.


  • "On the weakly nonlinear Kelvin-Helmholtz instability of tangential discontinuities in MHD" (joint with J. K. Hunter), J. Hyp. Diff. Eqn. 8 (2011), pp.691--726.
    Draft ms.


  • "The number of real roots of a cubic equation" (joint with Richard Kavinoky), The AMATYC Review 29:2 (Spring 2008), pp.3--8.
    Draft ms.


  • "The normals to a parabola and the real roots of a cubic" (joint with Manjinder S. Bains), Coll. Math. J. 38:4 (Sep 2007), pp.272--277.
    Draft ms.


  • "Food for thought: a few numerical delicacies" (joint with L. Hong), PRIMUS XIV:4 (Dec 2004), pp.369--383.
    Draft ms.


  • "Nonlinear hyperbolic wave propagation in a one-dimensional random medium" (joint with J. K. Hunter), Wave Motion 37 (2003), pp.381--405.
    Draft ms.


  • "Some derivatives of Newton's method," PRIMUS XII:2 (Jun 2002), pp.165--180.
    Draft ms.


  • "Nonlinear waves in random media," Ph.D. thesis (2000), Univ. Calif. Davis, advisor Dr. John Hunter.
    Draft ms.


  • "A picture is worth a thousand words," Coll. Math. J. 29:5 (1998), pp.408--411.
    Draft ms.


  • "Divergent series wear white hats too," Int. J. Math. Educ. Sci. Technol. 28:6 (1997), pp.911--914.
    Draft ms.


  • "Compositions and the chain rule using arrow diagrams," PRIMUS, V:3 (1995), pp.291--295.
    Draft ms.


  • "On the geometry of Halley's method" (joint with T. R. Scavo), Amer. Math. Monthly 102:5 (1995), pp.417--426.
    Draft ms.


  • "Mr. Simpson, meet Monsieur Lagrange," PRIMUS II:3 (1992), pp.278--288.
    Draft ms.


  • "Timing is everything," Coll. Math. J. 23:4 (1992), pp.308--309.
    Draft ms.


  • "Introduction to homogenization theory applied to the study of composite materials," undergrad. honors thesis (1990), Univ. Calif. Berkeley, advisor Dr. Robert Lipton.
    Draft ms.


  • Talks

    • "Quantitative Reasoning: Global Numeracy, Global Change," 2017 CMC3 Annual Fall Conference, Monterey, CA.
      PPT


    • "Quantitative Reasoning: Global Numeracy, Global Change," 2017 AMATYC Annual Conference, San Diego, CA.
      PPT


    • "Quantitative Literacy on the Global Stage," Spring 2017 CSU Chico Mathematics Colloquium.
      PPT


    • "The Joy of Sets," 2017 CMC3-South Annual Spring Conference, Pomona, CA.
      PDF


    • "Division: Thinking Inside the Box and Out" (an Ignite talk), 2017 CMC3-South Annual Spring Conference, Pomona, CA.
      PDF


    • "Teaching Differential Equations the SIMIODE Way," 2016 CMC3-South Annual Spring Conference, Pomona, CA.
      PDF


    • "History of Mathematics in Developmental Courses" (an Ignite talk), 2016 CMC3-South Annual Spring Conference, Pomona, CA.
      ZIP


    • "Experiences in Using HOM in Community College Prealgebra and Algebra Courses," 2016 Joint Mathematics Meeting, Seattle, WA.
      PDF


    • "Teaching Differential Equations the SIMIODE Way," 2016 Joint Mathematics Meeting, Seattle, WA.
      PDF


    • "Teaching Differential Equations the SIMIODE Way," 2015 CMC3 Annual Fall Conference, Monterey, CA.
      PDF   handouts (ZIP archive)


    • "Making Waves in Multivariable Calculus," 2015 CMC3-South Annual Spring Conference, Orange, CA.
      PDF


    • "Waves" (an Ignite talk), 2015 CMC3-South Annual Spring Conference, Orange, CA.
      ZIP


    • "Making Waves in Multivariable Calculus," 2014 CMC3 Annual Fall Conference, Monterey, CA. (Somewhat of a revision of the "Making Waves in Vector Calculus" talk.)
      PDF


    • "Making Waves in Vector Calculus," 2014 MAA MathFest, Portland, OR. (This is a 1/6 subset with some revision of previous talks of the same title.)
      PDF


    • "Making Waves in Vector Calculus," Spring 2014 CSU Chico Mathematics Colloquium.
      PDF


    • "How Cubic Equations (and Not Quadratic) Led to Complex Numbers," 2014 CMC3 Annual Spring Conference, Stateline, NV.
      PDF


    • "How Cubic Equations (and Not Quadratic) Led to Complex Numbers," 2013 AMATYC Annual Conference, Anaheim, CA.
      PDF


    • "Making Waves in Vector Calculus," 2013 AMATYC Annual Conference, Anaheim, CA.
      PDF


    • "Lattices, Dust Boards, and Galleys," 2012 CMC3-South Annual Spring Conference, Orange, CA.
      PDF


    • "Look Ma: No Equations!," 2010 CMC3 Annual Spring Conference, Stateline, NV.
      QuickTime (manual advance)


    • "Look Ma: No Equations!," 2010 CMC3-South Annual Spring Conference, Orange, CA.
      QuickTime (manual advance)


    • "Apollonius and normals to parabolas," 2009 AMATYC Annual Conference, Las Vegas, NV.
      PDF


    • "Normals to parabolas," 2008 CMC3 Annual Fall Conference, Monterey, CA.
      QuickTime (manual advance) or PDF (better if the files are saved to disc instead of played in a Web browser)


    • "Using history of math in teaching prealgebra and other courses," 2006 CMC3-South Annual Spring Conference, Orange, CA.
      PDF


    • "Using history of math to enliven prealgebra and other courses," 2005 CMC3 Annual Fall Conference, Monterey, CA.
      PDF


    • "Nonlinear wave propagation random layered media," Fall 2003 CSU Chico Mathematics Colloquium.
      ZIP archive


    • "Nonlinear wave propagation random layered media," Spring 2003 UC Davis Applied Math Seminar.
      ZIP archive


    • "Newton's method, a simplified Newton's method, and Halley's method," 2003 CMC3-South 18th Annual Conference, Orange, CA.
      ZIP archive


    • "Food for thought: a numerical delicacy," 2002 CMC3 Annual Fall Conference, Monterey, CA.
      PDF slides or print version


    • "Nonlinear wave propagation in 1D random media," Winter 2002 UC Irvine Computational and Applied Math Seminar.
      PDF


    • "Newton's method, a simplified Newton's method, and Halley's method," 2001 CMC3 Annual Fall Conference, Monterey, CA.
      ZIP archive


    • "Nonlinear wave propagation in random layered media," 2001 AMS Spring Western Section Meeting, session on waves in heterogeneous media, UNLV.
      PDF


    Books

    • Algebra in Context: Introductory Algebra from Origins to Applications, with Amy Shell-Gellasch, Johns Hopkins University Press (2015). Click here for information, or click here.


    • The Mathematics Language: An Introduction, a prealgebra textbook, 2001.   Downlaod a PDF (1.8 MB).


    Notes

    • Basic Linear Algebra for Vector Calculus. Download


    Drafts

    • College Algebra: Preparing for Calculus
      • Preface (6/16/18)
      • Chapter 1: Logic, Sets, Real Numbers, Complex Numbers (3/12/18)
        • Logic
        • Methods of Proof
        • Sets
        • Real Numbers
        • Complex Numbers
        • Exercises
      • Chapter 2: Functions, Graphs, Equations (6/16/18)
        • Functions
        • Graphs
        • Solving Equations
        • Exercises
      • Chapter 3: Absolute Value Function (6/16/18)
        • Solving Equations
        • Solving Inequalities
        • Challenge-response Game
        • Exercises
      • Chapter 4: Polynomial Functions (6/16/18)
        • Polynomials
        • Continuity
        • Solving Equations
        • Rate of Change
        • Graphs
        • Area of a Planar Region
        • Substitution as an Aid to Solving Equations
        • Exercises
      • Chapter 5: Rational Functions (not complete; 7/24/18)
        • Holes and Vertical Asymptotes
        • Rational Functions
        • Solving Equations and Inequalities
        • Partial Fraction Decomposition
        • Systems of Linear Equations
        • Exercises
      • Chapter 6: Exponential and Logarithmic Functions
      • Chapter 7: Conic Sections

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