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"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.
- "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
- 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).
- Basic Linear Algebra for Vector Calculus. Download
- 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