## Resources

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Resource Type (243)

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Differential Equation Type (243)

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Vision and Change Core Competencies - Ability (137)

Create and develop models(134) Use quantitative reasoning(122) Design simulations(27) Tap into interdisciplinary study(19) Communicate and collaborate with mathematics community(3) Communicate and collaborate with other disciplines(12) Understand the relationship between material and society(1)

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Motivates student to learn material(128) Focuses student on the material to be learned(120) Develops supportive community of learners(1) Leverages differences among learners(4) Reveals prior knowledge(6) Requires student to do the bulk of the work(6)

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Bloom's Cognitive Level (131)

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Includes clear efforts on Issues (0)

###### Applied Filters

Free Online Textbook

##### 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.Potential Scenario

##### 2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus

I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.Potential Scenario

##### 2006-Chaachoua-Saglam-Modelling by differential equations

This paper aims to show the close relation between physics and mathematics taking into account especially the theory of differential equations.Free Online Textbook

##### 2011-Richard_Fitzpatrick-Newtonian_Dynamics

This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of motion.Potential Scenario

##### 2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations

Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.Article or Presentation

##### 2020-TeachingModule-ModelingFallingColumnOfWater

We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.Potential Scenario

##### 2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms

In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.Potential Scenario

##### 2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics

This is an article from the authorâ€™s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.Potential Scenario

##### 2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve

Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.Potential Scenario

##### 1980-Peastrel-Lynch-Armenti-Terminal velocity of a shuttlecock in vertical fall

We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important and directly measurable.Modeling Scenario

##### 3-011-EulerBallThrowing-ModelingScenario

If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the...Potential Scenario

##### 2018-W_Hohenauer-Physical modelling based on first order ODEs

An introduction in techniques to solve first order ODEÂ´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth effects are discussed.Potential Scenario

##### 2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators

We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier analysis or using expensive apparatus.Potential Scenario

##### 1987-MS_Greenwood-Using videotapes to study underdamped motion of a pendulum

Using a video camera to study the effects of air resistance acting on pendulum bob, ping-pong ball, styrofoam spheres, and brass spheres.Modeling Scenario