Teaching Materials (1-20 of 25)

1. 2018-Vajravelu-Teaching Large DE Classes

   05 Feb 2024 | Teaching Materials | Contributor(s):

   By Kuppalapalle Vajravelu

   University of Central Florida

   Practical problem solving in science and engineering programs require proficiency in mathematics. Improving student performance and retention in mathematics classes requires inventive approaches.

   https://qubeshub.org/publications/4634/?v=1

2. 2011-Brian_Winkel-Cross_coursing_in_mathematics-physical_modeling_in_differential_equations_crossing_to_discrete_dynamical_systems

   13 Mar 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course.

   https://qubeshub.org/publications/3816/?v=1

3. 2015-Differential_Equations-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences

   13 Mar 2023 | Teaching Materials | Contributor(s):

   By CUPM MAA

   Washington DC USA

   This is a report from the working group charged with making recommendations for the undergraduate curriculum in differential equations.

   https://qubeshub.org/publications/3809/?v=1

4. 1994-Brian_Winkel-Ant_Tunnels_and_Calculus

   12 Mar 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.

   https://qubeshub.org/publications/3797/?v=1

5. 1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models

   12 Mar 2023 | Teaching Materials | Contributor(s):

   By Francois Nielsen

   NA

   The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.

   https://qubeshub.org/publications/3793/?v=1

6. 2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow

   12 Mar 2023 | Teaching Materials | Contributor(s):

   By Mark McCartney

   NA

   A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is solved and...

   https://qubeshub.org/publications/3792/?v=1

7. 1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom

   11 Mar 2023 | Teaching Materials | Contributor(s):

   By T. Gruszka

   NA

   The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a...

   https://qubeshub.org/publications/3784/?v=1

8. 2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island

   11 Mar 2023 | Teaching Materials | Contributor(s):

   By Lorelei Koss

   NA

   Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to...

   https://qubeshub.org/publications/3781/?v=1

9. 2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick

   10 Mar 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and...

   https://qubeshub.org/publications/3777/?v=1

10. 2017-Brian_Winkel-Let_Us_Do_It_Using_Modeling_in_the_Classroom

    10 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    In this article the author, Brian Winkel, Director of SIMIODE, attempts to make the case for modeling in the differential equations classroom by giving both rationale and examples.

    https://qubeshub.org/publications/3775/?v=1

11. 2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Andrew Lewis

    Queen's University, Kingston Ontario CANADA,

    The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.

    https://qubeshub.org/publications/3770/?v=1

12. 2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Chern I-Liang

    NA

    We let the author's Table of Contents speak for itself.

    https://qubeshub.org/publications/3764/?v=1

13. 2012-Gerald_Teschl-Ordinary_Differential_Equations_and_Dynamical_Systems

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Gerald Teschl

    NA

    This 364 page text is a quite theoretical approach and uses Mathematica code to illustrate the study.

    https://qubeshub.org/publications/3761/?v=1

14. 2014-Jeffrey_Chasnov-Lecture_Notes_on_Introduction_to_Differential_Equations

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Jeffrey Chasnov

    NA

    The differential equations text is 128 pages and develops and motivates the theory of the material nicely, with links to YouTube lectures to assist.

    https://qubeshub.org/publications/3760/?v=1

15. 2021-G_Nagy-Ordinary_Differential_Equations

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By G Nagy

    NA

    This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and...

    https://qubeshub.org/publications/3759/?v=1

16. 2014-William_Trench-Elementary_Differential_Equations-Books_and_Monographs

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By William Trench

    NA

    This is the most widely cited and referenced free online text for differential equations and is very complete. These two books are exactly what they say they are.

    https://qubeshub.org/publications/3758/?v=1

17. 2014-Jiri_Lebl-Notes_on_Diffy_Qs_Differential_Equations_for_Engineers

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Jiri Lebl

    NA

    There is a pdf and html version of the text as well as a purchasable paperback version. The text has pretty much all the basics, but has only a few exercises and there is very little modeling.

    https://qubeshub.org/publications/3755/?v=1

18. 2013-Marcel_Finan-A_Second_Course_in_Differential_Equations

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Marcel Finan

    NA

    Location: http://faculty.atu.edu/mfinan/nnotes.html . Accessed 9 March 2023. Here you will find a whole collection of differential equations texts:

    https://qubeshub.org/publications/3754/?v=1

19. 2010-Bruce-Conrad-Ordinary_Differential_Equations_A_Systems_Approach

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Bruce Conrad

    NA

    This is an author posted second edition to the text which was originally published by Prentice Hall in 2003.

    https://qubeshub.org/publications/3753/?v=1

20. 2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics

    07 Mar 2023 | Teaching Materials | Contributor(s):

    By Tracy L. Stepien¹, Eric J. Kostelich¹, Yang Kuang¹

    NA

    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.

    https://qubeshub.org/publications/3730/?v=1