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Advanced Stochastic Processes, Fall 2013
Conditions of Use:
Remix and Share
Rating

This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability, martingales, filtration, and stopping theorems, elements of large deviations theory, Brownian motion and reflected Brownian motion, stochastic integration and Ito calculus and functional limit theorems. In addition, the class will go over some applications to finance theory, insurance, queueing and inventory models.

Subject:
Business and Communication
Finance
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Gamarnik, David
Date Added:
01/01/2013
Beginning Algebra (BPCC Open Campus: Math 098)
Rating

In this beginning algebra course, you'll learn about
fundamental operations on real numbers
exponents
solving linear equations and inequalities
applications
functions
graphing linear equations
slope
systems of linear equations

Subject:
Algebra
Material Type:
Full Course
Lecture
Lesson
Module
Provider:
Bossier Parish Community College
Author:
Gail Hendrix
Date Added:
10/16/2017
A Computational Introduction to Number Theory and Algebra
Rating

All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well.

The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces). It also includes an introduction to discrete probability theory—this material is needed to properly treat the topics of probabilistic algorithms and cryptographic applications. The treatment of all these topics is more or less standard, except that the text only deals with commutative structures (i.e., abelian groups and commutative rings with unity) — this is all that is really needed for the purposes of this text, and the theory of these structures is much simpler and more transparent than that of more general, non-commutative structures.

Subject:
Mathematics
Algebra
Material Type:
Textbook
Author:
Victor Shoup
Date Added:
01/01/2008
El mundo del trabajo / The workplace, Spanish intermediate mid
Conditions of Use:
Remix and Share
Rating

Students will discuss their future career preferences. They will practice how to be persuasive with their speech to achieve something or to be convincing. Students will decide appropriate ways to talk about themselves and their talents in a formal setting.

Subject:
Languages
Material Type:
Activity/Lab
Author:
Amber Hoye
Gabby Bates
Abby Cain
Alejandra Garcia
Sue Juarez
Mardy Morales
Borja Aguilera
Camille Daw
Mimi Fahnstrom
Date Added:
03/10/2020
Forces in 1 Dimension
Conditions of Use:
No Strings Attached
Rating

Explore the forces at work when you try to push a filing cabinet. Create an applied force and see the resulting friction force and total force acting on the cabinet. Charts show the forces, position, velocity, and acceleration vs. time. View a Free Body Diagram of all the forces (including gravitational and normal forces).

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Danielle Harlow
Kathy Perkins
Sam Reid
Trish Loeblein
Date Added:
10/03/2006
Gas Properties
Conditions of Use:
No Strings Attached
Rating

Pump gas molecules to a box and see what happens as you change the volume, add or remove heat, change gravity, and more. Measure the temperature and pressure, and discover how the properties of the gas vary in relation to each other.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Jack Barbera
Kathy Perkins
Linda Koch
Michael Dubson
Ron LeMaster
Date Added:
10/05/2006
Gas Properties (AR)
Conditions of Use:
Read the Fine Print
Rating

Pump gas molecules to a box and see what happens as you change the volume, add or remove heat, change gravity, and more. Measure the temperature and pressure, and discover how the properties of the gas vary in relation to each other.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Jack Barbera
Kathy Perkins
Linda Koch
Michael Dubson
Ron LeMaster
Date Added:
07/02/2009
Geometry - Pythagoreom Theorem (Student's Edition)
Conditions of Use:
Remix and Share
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This stand-alone module examines the history, applications, and various proofs of the Pythagorean Theorem. The module also includes student activities and exercise problems. The module assumes the reader has a basic geometry background.

Subject:
Geometry
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Sheng, Joy (Editor)
Swenson, Laura
Date Added:
11/08/2010
Ladybug Revolution
Conditions of Use:
No Strings Attached
Rating

Join the ladybug in an exploration of rotational motion. Rotate the merry-go-round to change its angle, or choose a constant angular velocity or angular acceleration. Explore how circular motion relates to the bug's x,y position, velocity, and acceleration using vectors or graphs.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Kathy Perkins
Mindy Gratny
Sam Reid
Wendy Adams
Date Added:
10/28/2008
Ladybug Revolution (AR)
Conditions of Use:
Read the Fine Print
Rating

Join the ladybug in an exploration of rotational motion. Rotate the merry-go-round to change its angle, or choose a constant angular velocity or angular acceleration. Explore how circular motion relates to the bug's x,y position, velocity, and acceleration using vectors or graphs.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Kathy Perkins
Mindy Gratny
Sam Reid
Wendy Adams
Date Added:
08/02/2011
Linear Algebra with Applications
Conditions of Use:
Remix and Share
Rating

After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.

Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.

The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).

Subject:
Algebra
Material Type:
Textbook
Provider:
Lyryx Learning
Author:
W. Keith Nicholson
Date Added:
01/17/2018
Masses & Springs
Conditions of Use:
No Strings Attached
Rating

A realistic mass and spring laboratory. Hang masses from springs and adjust the spring stiffness and damping. You can even slow time. Transport the lab to different planets. A chart shows the kinetic, potential, and thermal energy for each spring.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Kathy Perkins
Michael Dubson
The Mortenson Family Foundation
Wendy Adams
Date Added:
04/26/2006
Masses & Springs (AR)
Conditions of Use:
Read the Fine Print
Rating

A realistic mass and spring laboratory. Hang masses from springs and adjust the spring stiffness and damping. You can even slow time. Transport the lab to different planets. A chart shows the kinetic, potential, and thermal energy for each spring.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Kathy Perkins
Michael Dubson
Wendy Adams
Date Added:
08/02/2009
Maze Game
Conditions of Use:
No Strings Attached
Rating

Learn about position, velocity, and acceleration in the "Arena of Pain". Use the green arrow to move the ball. Add more walls to the arena to make the game more difficult. Try to make a goal as fast as you can.

Subject:
Physical Science
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Mindy Gratny
Sam Reid
Wendy Adams
Date Added:
10/30/2006
Motion in 2D
Conditions of Use:
No Strings Attached
Rating

Try the new "Ladybug Motion 2D" simulation for the latest updated version. Learn about position, velocity, and acceleration vectors. Move the ball with the mouse or let the simulation move the ball in four types of motion (2 types of linear, simple harmonic, circle).

Subject:
Mathematics
Physics
Material Type:
Activity/Lab
Interactive
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Sam Reid
Date Added:
11/15/2007
Motion in 2D (AR)
Conditions of Use:
Read the Fine Print
Rating

Try the new "Ladybug Motion 2D" simulation for the latest updated version. Learn about position, velocity, and acceleration vectors. Move the ball with the mouse or let the simulation move the ball in four types of motion (2 types of linear, simple harmonic, circle).

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Sam Reid
Date Added:
07/02/2009
Moving Man
Conditions of Use:
No Strings Attached
Rating

Learn about position, velocity, and acceleration graphs. Move the little man back and forth with the mouse and plot his motion. Set the position, velocity, or acceleration and let the simulation move the man for you.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Kathy Perkins
Sam Reid
Wendy Adams
Date Added:
10/04/2005
Multimedia Design and Applications
Conditions of Use:
No Strings Attached
Rating

Computers and information technology have changed the world and affected millions of lives in ways that no one could have foreseen. There is a general agreement that computer technology is a crucial resource in education today. Computers and ICT can bring benefits such as : use of productivity tools; in- teractive teaching packages available on CD for different subjects; access to internet and thousands of online databases; distance learning facilities; links to other schools or colleges; and special facilities available for students with disa- bilities- for example partially-sighted students may be able to change text sizes and background colour. The list is long.

This module picks on some of these benefits and provides a basic platform to multi-media applications in the teaching and learning of mathematics and Science at secondary school level.

Subject:
Computer Science
Material Type:
Module
Provider:
African Virtual University
Provider Set:
OER@AVU
Author:
Elijah I. Omwenga
Date Added:
08/20/2018
Multivariable Calculus, Fall 2010
Conditions of Use:
Remix and Share
Rating

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

Subject:
Calculus
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Auroux, Denis
Date Added:
01/01/2010