SIMIODE: Resources

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2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses

Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering Mathematics course, have been created.

solutionsclass projectsphysical phenomenon

Article or Presentation

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2018-Vajravelu-Teaching Large DE Classes

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

differential equationsLarge classlarge classroom

Article or Presentation

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2013-Brian_Winkel-Browsing_Your_Way_to_Better_Teaching

We describe the use of browsing and searching (in libraries, on-line, inside sources, at meetings, in abstracts, etc.) as a way to stimulate the teacher of undergraduate mathematics, specifically in differential equations.

resourcesmodelingteachingbrowsesources

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2004-Charalampos_Toumasis-A mathematical diet model

This article describes an application of simple differential equations in the field of dietetics as it may be presented to a calculus class or a high school mathematics club.

dietdietetics

Article or Presentation

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2011-Brian_Winkel-Cross_coursing_in_mathematics-physical_modeling_in_differential_equations_crossing_to_discrete_dynamical_systems

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.

differential equationsmathematical modeldifference equationcross courseconvert

Article or Presentation

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2015-Technology_and_the_Mathematics_Curriculum-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences

What role should technology play in teaching and learning undergraduate mathematics? This issue is addressed.

classroomcurriculumtechnologyCUPM

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1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance

Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.

financesavingsgrowth fundinterestmortgageannuitydepreciation

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2012-Bech-EtAl-Resources For Engineering Applications Of Math

Illustrations of applied mathematics including statics, truss, heat equation, column analysis, coupled oscillators, feedback control, AC circuit, chemical reactions, kinetics.

kineticsheat equationcolumn analysiscoupled oscillatorsfeedback controlAC circuitchemical reactions

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2011-Kurt_Kreith-The Mathematics of Global Change

The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay.

exponential growthlogistic growth

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1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits

Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of the RLC circuit.

datacollectionslaboratorycircuitRLC

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2001-Cheng-Teaching mathematical modelling in Singapore schools

The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.

teachinglogisticsecondary school mathematicsBarnacle GeeseSingapore

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2015-Dios-EtAl-How Engineers deal with Mathematics solving Differential Equations

The students of fourth course, of the bachelor’s degree in Computer Sciences or Industrial Engineering at the University of Salamanca (Spain), they learn mathematics solving real problems with the help of the acquired interdisciplinary knowledge.

assessmentengineering educationSimulink

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2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1

We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak across campus in fall 2009.

H1N1pandemicspreadoutbreakpH1N1

Free Online Textbook

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2017-Craig_Tracy-Lectures on Differential Equations

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.

physicsoscillation

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2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum

We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.

projectstechnical writinginterdisciplinary skills

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