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

2. 30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

3. 30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

4. 03 Jun 2015 | Technique Narratives | Contributor(s): FR Gabriel Costa

5. 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. 17 Sep 2015 | Technique Narratives | Contributor(s): Brian Winkel

7. 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. 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. 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. 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...