Open. Adaptable. Free.

1991-Carmine_Chicone-Ordinary Differential Equations with Applications

2023-04-01 19:03:01 | Teaching Materials | Contributor(s): Carmine Chicone | doi:10.25334/8AY0-FA19

This is a complete text for a graduate level course. Hence there is much theory, but there is a chapter on applications with some sophisticated approaches and high level modeling of motion.

2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations

2023-04-01 19:03:50 | Teaching Materials | Contributor(s): K D Eriksson | doi:10.25334/G45M-KC45

Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation.

2016-Langtangen-Pedersen - Scaling of Differential Equations

2023-04-01 19:04:38 | Teaching Materials | Contributor(s): Hans Petter Langtangen | doi:10.25334/4HKR-9K10

Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations results more widely applicable.

2016-Rob_deBoer-Population Dynamics  A Graphical Approach

2023-04-01 19:05:25 | Teaching Materials | Contributor(s): Rob deBoer | doi:10.25334/9733-P985

This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.

2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction

2023-04-01 19:06:15 | Teaching Materials | Contributor(s): Brian Ingalls, Brian Winkel | doi:10.25334/FWBX-WC34

This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

2012-Vivek_Patel-Chemical Kinetics

2023-04-01 19:07:03 | Teaching Materials | Contributor(s): Vivek Patel | doi:10.25334/T6C6-7702

The book is designed to help the reader, particularly students, researchers, research scholars, scientists, chemists and industry fraternity of chemistry and allied fields; understand the mechanics and reactions rates.

2017-Craig_Tracy-Lectures on Differential Equations

2023-04-01 19:07:55 | Teaching Materials | Contributor(s): Tracy Craig | doi:10.25334/KJZQ-M572

These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.

2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems

2023-04-01 19:08:41 | Teaching Materials | Contributor(s): H Sayama | doi:10.25334/E4QB-1F11

Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.

2014-Andre_De Ross-Modeling Population Dynamics

2023-04-01 19:09:25 | Teaching Materials | Contributor(s): Andre De Ross | doi:10.25334/77ND-C606

This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.

2015-Dan_Sloughte-Notes on Diffy Qs Differential Equations for Engineers

2023-04-01 19:10:20 | Teaching Materials | Contributor(s): Dan Sloughter | doi:10.25334/E6J9-3E34

This is a calculus book with the last chapter devoted to ordinary differential equations topics. The effort begins with a study of numerical methods and goes through traditional technique strategies.

1999-Lomen-Lovelock-Data Sets from text Differential Equations Graphics-Models-Data

2023-04-01 04:13:13 | Teaching Materials | Contributor(s): David Lomen | doi:10.25334/92MD-4W77

Data selected by field is presented, e.g., chemistry, electricity, growth, motion, population, miscellaneous.

1999-Leonid_Hanin-Which tank empties first

2023-04-01 04:14:06 | Teaching Materials | Contributor(s): Leonid Hanin | doi:10.25334/MQ15-B223

Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?

Manuscript 101: A Data-Driven Writing Exercise for Beginning Scientists

2023-03-31 21:38:40 | Teaching Materials | Contributor(s): Michael A. Halbisen, Tera Levin*, Amy Ralston*

Learning to write a scientific manuscript is one of the most important and rewarding scientific training experiences, yet most young scientists only embark on this experience relatively late in graduate school after gathering sufficient data in the lab. Familiarity with the process of writing...

1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data

2023-03-31 19:56:29 | Teaching Materials | Contributor(s): Robert Kowalczyk | doi:10.25334/9SC3-2254

With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.

1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation

2023-03-31 19:57:13 | Teaching Materials | Contributor(s): Farhad Khorasheh | doi:10.25334/GMPT-A991

For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not be used used for more complex multi-compartment models.

1997-Bonnie_Shulman-Using Original Sources to Teach the Logistic Equation

2023-03-31 19:58:05 | Teaching Materials | Contributor(s): Bonnie Shulmlan | doi:10.25334/E69C-V777

This Module uses original data, diagrams, and texts from three original sources to develop the logistic model of growth in natural systems with limited resources.

1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint

2023-03-31 19:55:33 | Teaching Materials | Contributor(s): Paul Blanchard | doi:10.25334/K43Z-7G89

This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.

1967-JG-Wagner-Computers in pharmacokinetics

2023-03-31 05:06:49 | Teaching Materials | Contributor(s): J G Wagner | doi:10.25334/TD1E-RS83

This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a variety of material here.

2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge

2023-03-31 04:59:53 | Teaching Materials | Contributor(s): W J Chivers | doi:10.25334/40E9-KB85

We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.

2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings

2023-03-31 04:53:40 | Teaching Materials | Contributor(s): John Cain | doi:10.25334/TQ85-N938

The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.