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Downloads
Views
Date
Relevance
Potential Scenario
196
views
56
downloads
0
comments
2006-Michelle_LeMasurier-Nonstandard Topics for Student Presentations in Differential Equations
An interesting and effective way to showcase the wide variety of fields to which differential equations can be applied is to have students give short oral presentations on a specific application.
Presentation
student presentation
Article or Presentation
166
views
44
downloads
0
comments
1994-Brian_Winkel-Designated_Student_Grading _as_a_Learning_Device
We describe how we engaged students in the course to grade regular homework assignments of that same class and the added learning opportunities in doing so.
student grader
Article or Presentation
203
views
59
downloads
0
comments
2017-Brian_Winkel-Let_Us_Do_It_Using_Modeling_in_the_Classroom
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.
differential equations
modeling
classroom
Article or Presentation
711
views
117
downloads
0
comments
SIMIODE Spring 2024 Webinars - Ethics Modeling
A Practical Guide for Incorporating Ethical Reasoning into Mathematics Courses through Modeling Problems
modeling
interdisciplinary
guide
ethics
group work
ethical reasoning
Article or Presentation
283
views
571
downloads
0
comments
2020-Teaching Module-Applying Separation Of Variables
This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODE’s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how a modeling activity can be offered including...
modules
Ebola
separation of variables
Teaching Modules
Separation
Article or Presentation
241
views
59
downloads
0
comments
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 equations
mathematical model
difference equation
cross course
convert
Article or Presentation
184
views
53
downloads
0
comments
2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity
We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.
optimization
discovery
Fourier
Fourier seris
Article or Presentation
245
views
46
downloads
0
comments
2015-Differential_Equations-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences
This is a report from the working group charged with making recommendations for the undergraduate curriculum in differential equations.
differential equations
curriculum
CUPM
Article or Presentation
155
views
48
downloads
0
comments
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.
classroom
curriculum
technology
CUPM
Article or Presentation
207
views
67
downloads
0
comments
2010-Scott_Carrell-James_West-Does_Professor_Quality_Matter-Evidence_from_Random_Assignment_of_Students_to_Professors
In the postsecondary environment, scores on student evaluations of professors are typically used to measure teaching quality. We possess unique data that allow us to measure relative student performance in mandatory follow-on classes.
teaching
evaluation
follow-on course
student achievement
Article or Presentation
175
views
56
downloads
0
comments
1990-Winkel_Brian-First-year_calculus_students_as_in-class_consultants
We demonstrate how we use traditional text book calculus problems to involve first year calculus students as consultants. Students are asked to solve a “real world” problem after interviewing a “guest” client –a printer.
optimization
calculus
Consultant
printer
client
Article or Presentation
200
views
76
downloads
0
comments
1994-Brian_Winkel-Ant_Tunnels_and_Calculus
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.
differential equations
difference equation
first order
derivative definition
ant tunnel
Article or Presentation
174
views
58
downloads
0
comments
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 equations
Large class
large classroom
Free Online Textbook
143
views
70
downloads
0
comments
2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
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.
Galerkin
Article or Presentation
200
views
60
downloads
0
comments
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.
resources
modeling
teaching
browse
sources
Article or Presentation
506
views
100
downloads
0
comments
2007-John_Jungck-Ten_Equations_that_Changed_Biology-Mathematics_in_Problem-Solving_Biology_Curricula The author
These equations were selected upon the basis of wide-spread recognition of the value of the models.
biology
equations
ten equations
Article or Presentation
172
views
47
downloads
0
comments
2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
circuit
Laplace transform
transfer function
mystery circuit
voltage frequency
two loop circuit
Article or Presentation
134
views
53
downloads
0
comments
2001-A_Tsoularis-Analysis_of_logistic_growth_models
The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.
logistic
population
growth curve
limited growth
Gompertz
history
logistic equation
Verhulst
Pearl and Reed
Bertalanffy
Richards
Article or Presentation
248
views
68
downloads
0
comments
2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
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 investigation by students in an ordinary differential course.
differential equations
sustainability
population
Easter Island
collapse
environmental collapse
Article or Presentation
140
views
50
downloads
0
comments
2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of resistance.
resistance
projectile motion
projectile
fluid
Mersenne
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