Resources: Technique Narratives

The Technique Narratives are organized to roughly follow the topics found in a traditional differential equations course. Hence, the numbering system reflects chapter sequencing in a standard differential equations text.

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  1. 1-009-S-Text-Bifurcation

    31 May 2015 | Technique Narratives | Contributor(s): Edward Swim

  2. 1-001-S-Text-SeparationOfVariables

    30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

  3. 1-002-S-Text-IntegratingFactor

    30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

  4. 3-090-S-Text-ChebyshevPolynomialSolution

    03 Jun 2015 | Technique Narratives | Contributor(s): FR Gabriel Costa

  5. 8-002-S-Text-TrigSumRepresentation

    04 Jun 2015 | Technique Narratives | Contributor(s): Brian Winkel

    Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields.

  6. 5-012-S-Text-LinearSystemConjecture

    17 Sep 2015 | Technique Narratives | Contributor(s): Brian Winkel

  7. 7-005-S-Text-LaplaceTransformOverview

    06 Jun 2015 | Technique Narratives | Contributor(s): Brian Winkel

    The Laplace Transform is a mathematical construct that has proven very useful in both solving and understanding differential equations. We introduce it and show its power here. This is done in a Mathematica notebook with pdf provided. 

  8. 7-006-S-Text-LaplaceTransformBirth

    24 Feb 2016 | Technique Narratives | Contributor(s): Sania Qureshi

    We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.

  9. 5-030-S-Text-LinNonHomoSystemSol

    26 Aug 2016 | Technique Narratives | Contributor(s): Brian Winkel

    We offer strategies for solving linear systems of nonhomogeneous differential equations of the form  X'(t) = A X(t) + G(t) using a conjectured solution strategy for a system of constant coefficient, linear, nonhomogeneous, differential equations.

  10. 9-001-Text-S-SkinBurnModelNumericalMethods

    18 Aug 2018 | Technique Narratives | Contributor(s): Suruchi Singh

    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so...

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