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  1. 1991-Carmine_Chicone-Ordinary Differential Equations with Applications

    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.

  2. 2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations

    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.

  3. 2016-Langtangen-Pedersen - Scaling of Differential Equations

    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.

  4. 2016-Rob_deBoer-Population Dynamics  A Graphical Approach

    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.

  5. 2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction

    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.

  6. 2012-Vivek_Patel-Chemical Kinetics

    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.

  7. 2017-Craig_Tracy-Lectures on Differential Equations

    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.

  8. 2015-H_Sayama-Intro to Modeling and Analysis of Complex 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.

  9. 2014-Andre_De Ross-Modeling Population Dynamics

    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.

  10. 2015-Dan_Sloughte-Notes on Diffy Qs  Differential Equations for Engineers

    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.

  11. 1999-Lomen-Lovelock-Data Sets from text Differential Equations Graphics-Models-Data

    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.

  12. 1999-Leonid_Hanin-Which tank empties first

    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?

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

    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...

  14. 1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data

    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.

  15. 1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation

    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.

  16. 1997-Bonnie_Shulman-Using Original Sources to Teach the Logistic Equation

    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.

  17. 1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint

    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.

  18. 1967-JG-Wagner-Computers in pharmacokinetics

    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.

  19. 2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge

    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.

  20. 2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings

    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.