A solar system, a simulation made with Excel
An Excel simulation of the solar system. You can see how things are recursively computed: the mutual gravity force from the locations, the accelerations, the velocities, and finally the updated locations. The solar eclipse is also shown. This is clip is intended to illustrate Chapter 24 Ap
From playlist Physics simulations
What is Math Modeling? Video Series Trailer
In summer 2016, we launched a 7-episode video series called Math Modeling: Getting Started and Getting Solutions - a how-to video guide. It will be an instructional, episodic treatment of the math modeling process as described in our modeling handbook (https://m3challenge.siam.org/resource
From playlist M3 Challenge
What is Math Modeling? Video Series Part 4: Defining Variables
Mathematical modeling uses math to represent, analyze, make predictions, or otherwise provide insight into real world phenomena. After defining the problem statement and making assumptions, defining variables tells modelers exactly the units they are looking for. This creates the basis for
From playlist M3 Challenge
What is Math Modeling? Video Series Part 5: Getting a Solution
Mathematical modeling uses math to represent, analyze, make predictions, or otherwise provide insight into real world phenomena. This episode, number five in this new seven-part series, guides you through the process of finding a solution to your mathematical model. Here’s where you’ll fi
From playlist M3 Challenge
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Plotting Points (x,y,z) in 3-Space
I really wish more math curricula had Ss working in 3D. If we live in a 3D world, why do most of their math modeling experiences occur only in 2D? 🤔 A simple start: https://www.geogebra.org/m/swfn4vb4 #GeoGebra
From playlist Algebra 1: Dynamic Interactives!
What is Math Modeling? Video Series Part 3: Making Assumptions
Mathematical modeling uses math to represent, analyze, make predictions, or otherwise provide insight into real world phenomena. After defining the problem statement, modelers must make assumptions to reduce the number of factors affecting the model. This episode brings us one step closer
From playlist M3 Challenge
1. Introduction, Financial Terms and Concepts
MIT 18.S096 Topics in Mathematics with Applications in Finance, Fall 2013 View the complete course: http://ocw.mit.edu/18-S096F13 Instructor: Peter Kempthorne, Choongbum Lee, Vasily Strela, Jake Xia In the first lecture of this course, the instructors introduce key terms and concepts rela
From playlist MIT 18.S096 Topics in Mathematics w Applications in Finance
Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically
Description: We look at the geometric picture given by systems of linear equations. In particular, we will be able to: *Sketch what the solution to a SINGLE 2D or 3D linear equation looks like (including special cases like 0x+0y=0) * Sketch the solution to a system or 2D or 3D linear equat
From playlist Linear Algebra (Full Course)
Delta-gamma value at risk (VaR) with the Taylor Series Approximation (FRM T4-4)
[here is my xls https://trtl.bz/2rlVj7H] The Taylor Series lets us approximate a smooth function with a polynomial. Here we apply it to both an option position (where the second term captures gamma) and a bond position (where the second term captures convexity). 💡 Discuss this video here
From playlist Valuation and RIsk Models (FRM Topic 4)
Student Competition: Best of 8ECM
From playlist 8ECM Accompanying events
Fixed Income: Hedging the DV01 (FRM T4-33)
The DV01 is dollar change in the position for a one basis point (1 bps) decline in the interest rate (typically, yield). The DV01 is expressed per $100 face amount; for example, $0.035 implies that when rates drop by one basis point, the bond will increase in value by $0.035 per $100 face
From playlist Valuation and RIsk Models (FRM Topic 4)
Yale AIDS Colloquium Series (YACS) -- Professor Ann Kurth
Presented by the Center for Interdisciplinary Research on AIDS at Yale University, the Yale AIDS Colloquium Series (YACS) is an interdisciplinary academic forum for discussion of HIV/AIDS-related research and policy.
From playlist Center for Interdisciplinary Research on AIDS
What is Math Modeling? Video Series Part 6: Analysis
By the time you’ve reached the analysis step of the math modeling process, you’ve built a mathematical model -congratulations! Now it’s time to analyze and assess the quality of the model. In this step and number six in this seven-part series, modelers take an honest look at the body of wo
From playlist M3 Challenge
Yonina Eldar - Model Based Deep Learning with Application to Super Resolution - IPAM at UCLA
Recorded 27 October 2022. Yonina Eldar of the Weizmann Institute of Science presents "Model Based Deep Learning with Application to Super Resolution" at IPAM's Mathematical Advances for Multi-Dimensional Microscopy Workshop. Abstract: Deep neural networks provide unprecedented performance
From playlist 2022 Mathematical Advances for Multi-Dimensional Microscopy
Gianpaolo Scalia Tomba: Estimating parameters in the initial phase of an epidemic
In recent years, new pandemic threats have become more and more frequent (SARS, bird flu, swine flu, Ebola, MERS, nCoV...) and analyses of data from the early spread more and more common and rapid. Particular interest is usually focused on the estimation of $ R_{0}$ and various methods, es
From playlist Probability and Statistics
Within-host modeling of viral diseases - basic model with examples by Daniel Coombs
Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o
From playlist Dynamics of Complex Systems - 2017
Amy Herring: Centered partition processes: lumping versus splitting in sparse health data
Abstract: In many health studies, interest often lies in assessing health effects on a large set of outcomes or specific outcome subtypes, which may be sparsely observed, even in big data settings. For example, while the overall prevalence of birth defects is not low, the vast heterogeneit
From playlist Probability and Statistics
What is Math Modeling? Video Series Part 1: What is Math Modeling?
Mathematical modeling provides answers to real world questions like “Which recycling program is best for my city?” “How will a flu outbreak affect the US,” or “Which roller coaster is the most thrilling?” In math modeling, you’ll use math to represent, analyze, make predictions or otherwis
From playlist M3 Challenge
Application of Time Series Analysis to Finance by Sankarshan Basu
Program Summer Research Program on Dynamics of Complex Systems ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE : 15 May 2019 to 12 July 2019 VENUE : Madhava hall for Summer School & Ramanujan hall f
From playlist Summer Research Program On Dynamics Of Complex Systems 2019