
2022KalmanImproved Approaches to Discrete and Continuous Logistic Growth
18 Mar 2022  Contributor(s):: Brian Winkel
2022. Kalman, Dan, Improved Approaches to Discrete and Continuous Logistic Growth. PRIMUS. Preprint at https://maa.tandfonline.com/doi/abs/10.1080/10511970.2022.2040664#.YjUMVurMI_U .Abstract: In the precalculus curriculum, logistic growth generally appears in either a discrete...

1190SIntroClass
05 Mar 2022  Modeling Scenarios  Contributor(s):: Bill Skerbitz
Students are led step by step through the development of introductory ideas in mathematical modeling with differential equations. They will encounter the fundamental ideas underlying unlimited population growth (exponential models), limited population growth (logistic models), and a coupled...

Sullivan, Eric. 2015. Numerical Methods  An InquiryBased Approach with Python
21 Feb 2022  Free Online Texts  Contributor(s):: Brian Winkel
Sullivan, Eric. 2015. Numerical Methods  An InquiryBased Approach with Python. Available at numericalmethodssullivan.github.io/ .Eric Sullivan of Carroll College, Helena MT USA has authored an exceptional numerical methods textbook. Numerical Methods  An InquiryBased...

1145SFastPitch
23 Jan 2022  Modeling Scenarios  Contributor(s):: Erich McAlister
Pitch velocity is one of the most fascinating statistics in baseball, as documented in the 2015 documentary Fastball. Modern measurements of pitch velocity are taken as the maximum velocity achieved at any point between the pitcher's hand and home plate. However, the velocity of the ball...

4036SAltitudeDependentGravity
22 Jan 2022  Modeling Scenarios  Contributor(s):: Jakob Kotas
Basic projectile motion without air resistance typically assumes gravity is constant. In reality, the acceleration due to gravity is proportional to the inversesquare of the distance between the centers of mass of the Earth and the projectile. When projectiles are near to Earth's surface,...