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. 1-001-T-Text-SeparationOfVariables

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

    We discuss  strategies  to solve first order, ordinary differential equations with  mathematical models when the variables may be separated.

  4. 1-002-T-Text-IntegratingFactor

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

    A strategy to solve first order differential equations is to transform one side of the differential equation to become the  derivative of a product of two functions, thereby making it easy to antidifferentiate that side. This will also transform the other side of  the differential...

  5. 1-002-S-Text-IntegratingFactor

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

  6. 1-009-T-Text-Bifurcation

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

    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.

  7. 3-090-T-Text-ChebyshevPolynomialSolution

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

    The Chebyshev equation, (1 - x2) y" + A x y' + B y = 0, presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients. This project requires the student to investigate properties enjoyed by special...

  8. 3-090-S-Text-ChebyshevPolynomialSolution

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

  9. 8-002-T-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. This is an introduction to the study of Fourier Series.

  10. 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.