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1. 10 Sep 2017

Sousa, James. mathispower4u Differential Equations Videos.http://www.mathispower4u.com/diff-eq.php . Accessed 10 September 2017. Here is a list of just the Introduction to Differential Equations videosIntroduction to Differential Equation TerminologyDifferential Equations:  Find the...

2. 10 Sep 2017

Yamaguti, M. 1994. Discrete Models in Social Sciences. Computers Math. Applic. 28(10-12):   263-267.Abstract: Behaviors of solutions of a differential equation and its discretization sometimes differ greatly from each other. For example, even if a differential equation has no chaotic...

3. 10 Sep 2017

Chapter Nine – Mathematical Models with Differential Equations. From unknown text. pp. 582-622. http://higheredbcs.wiley.com/legacy/college/anton/0470183454/add_materials/mathematical_modeling_with_diff_equations.pdfThis is a rich chapter from unknown text with rich text and...

4. 10 Sep 2017

Kerckhove, Michael.  2012. From Population Dynamics to Partial Differential Equations. The Mathematica Journal. 14: 1-18.Abstract: Differential equation models for population dynamics are now standard fare in single-variable calculus. Building on these ordinary differential equation (ODE)...

5. 10 Sep 2017

Katul, Gabriel G. ENV264 Applied Differential Equations in Environmental Sciences. Notes.Many environmental problems require the construction and solution to equations (or systems of equations) that involve relations between rates and states of environmental variables. The objective of this...

6. 09 Sep 2017

Blanchard, Paul. 1993.  2011. Teaching Differential Equations With a Dynamical Systems Viewpoint. Notes. 11 pp.This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.Keywords:  differential equations, model,...

7. 09 Sep 2017

Davis, Mark. E. 1984. Numerical Methods and Modeling for Chemical Engineers.  NewYork:  John Wiley & Sons.  264 pp.From the PrefaceThis book is an introduction to the quantitative treatment of differential equations that arise from modeling physical phenomena in the...

8. 09 Sep 2017

Shafer, Steven. The Pharmacokinetic and  Pharmacodynamic Basis of Target Controlled Infusion. 60 pp. https://web.stanford.edu/~sshafer/LECTURES.DIR/Notes/CCIP.DOC . Accessed on 7 September 2017. From the introduction of the paper, “Pharmacokinetics and pharmacodynamics provide the...

9. 09 Sep 2017

Lutzer, Carl V.  2015. Using Expected Value to Introduce the Laplace Transform. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 339-348.Abstract: We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the...

10. 08 Sep 2017

Upreti,  Sandhya  and Ms. Piyali Sarkar.  2015. Laplace Transforms and its Applications. IJIRT. 1(6): 1943-1945. http://ijirt.org/master/publishedpaper/IJIRT101182_PAPER.pdf . Accessed 7 April 2017.Abstract: Laplace transform is applied in various areas of engineering and science....

11. 08 Sep 2017

Boucher, Randy.  2010.  Determining Dissolved Oxygen Levels. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies.20(4):  362-368.ABSTRACT: This project was used in a mathematical modeling and introduction to differential equations course for first-year...

12. 08 Sep 2017

Wood, W. 2011. Squigonometry. Mathematics Magazine.  84(4): 257-265.The differential equations used to define a unit circle, namely          x’(t) = - y(t),     y’(t) = (t),      x(0) =...

13. 08 Sep 2017

Reid, Thomas F.  and Stephen C. King. 2009. Pendulum Motion and Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 19(2): 205-217,Abstract: A common example of real-world motion that can be modeled by a differential equation, and one easily...

14. 08 Sep 2017

HELM - University of Southampton. 2008. Applications of Differential Equations. Chapter 19.https://nile.northampton.ac.uk/bbcswebdav/courses/CFAP02R/Guest%20access%20files/HELM_new/pages/workbooks_1_50_jan2008/Workbook19/19_1_modling_with_diffrntl_eqns.pdf . Accessed 5 September 2017.The sections...

15. 08 Sep 2017

Fay, T. 2001.The Pendulum Equation.  Int. J. Math. Educ. Sci. Technology.  33(4): 505-519.Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it. On the one hand, we suggest that the third and fifth-order Taylor series...

16. 07 Sep 2017

Martinez-Luaces, Victor. 2009.  Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference.  pp. 159-170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...

17. 07 Sep 2017

Eriksson, K., D. Estep, P. Hansho, C. Johnson. 2009. Computational Differential Equations. 521 pp. http://www.thebookishblog.com/computational-differential-equations.pdf . Accessed 7 September 2017.From the Preface, “This book, together with the companion volumes Introduction to...

18. 07 Sep 2017

Koss, L.  2015. Differential equations in literature, poetry and film. Journal of Mathematics and the Arts. 9(1-2): 1-16.Abstract: This paper investigates how differential equations models have been used to study works in literature, poetry and film. We present applications to works by...

19. 06 Sep 2017

De Boer, Rob J. 2016 Modeling Population Dynamics:  A Graphical Approach.  http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...

20. 06 Sep 2017

Ramsay, J. O., G. Hooker, D. Campbell and J. Cao. Parameter Estimation for Differential Equations: A Generalized Smoothing Approach.  http://faculty.bscb.cornell.edu/~hooker/ODE_Estimation.pdf . Accessed 6 September 2017.Summary:  We propose a new method for estimating parameters in...