The Access to Justice Legal Apps Challenge Modules intend to get participants to think of new ways to use technology to better increase access to justice, and to ultimately design a concept for a legal app to address an access to justice issue.

The set of five modules are intended to operate as a “mini-course” for Ontario high-school students. Each module contains background information on the topic to help instructors prepare for the lessons. The background information has sources to support instructors and students delving further into topics of interest. The modules are designed so that they can be used in either an in-person or virtual learning environment.

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.

Play with objects on a teeter totter to learn about balance. Test what you've learned by trying the Balance Challenge game.

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.

This course explores electromagnetic phenomena in modern applications, including wireless communications, circuits, computer interconnects and peripherals, optical fiber links and components, microwave communications and radar, antennas, sensors, micro-electromechanical systems, motors, and power generation and transmission. Fundamentals covered include: quasistatic and dynamic solutions to Maxwell’s equations; waves, radiation, and diffraction; coupling to media and structures; guided and unguided waves; resonance; and forces, power, and energy.
Acknowledgments
The instructors would like to thank Robert Haussman for transcribing into LaTeX the problem set and Quiz 2 solutions.

This course introduces the theory of error-correcting codes to computer scientists. This theory, dating back to the works of Shannon and Hamming from the late 40’s, overflows with theorems, techniques, and notions of interest to theoretical computer scientists. The course will focus on results of asymptotic and algorithmic significance. Principal topics include:

Construction and existence results for error-correcting codes.
Limitations on the combinatorial performance of error-correcting codes.
Decoding algorithms.
Applications in computer science.

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).

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.

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.

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.

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.

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.This OER Lancaster Spanish Level 4, Activity 07: El mundo del trabajo / The workplace (Face-To-Face) was remixed by Jill Camargo and as part of the 2024 World Language OER Summer work and training. Educators worked with Chrystal Liu, Nick Ziegler and Dorann Avey to create OER Learning Plans and materials. The attached Lesson/Activity is designed for 9 - 12 World Language Arts teachers for Novice Learners of Spanish. Students will analyze and evaluate the elements of literary text, build background knowledge to clarify text and deepen understanding, and use relevant evidence from a variety of sources to assist in analysis and reflection of complex text. This Lesson Plan addresses the following NDE World Language Standard(s): NE.WL.1.1.D, NE.WL.1.3.D, NE.WL.4.1.D  It is expected that this Lesson Plan will take students 90 minutes to complete

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.

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).

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.

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.

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.

Les modules du Défi des apps juridiques d’accès à la justice ont pour but d'amener les participants à réfléchir à de nouvelles façons d'utiliser la technologie pour améliorer l'accès à la justice et, en fin de compte, à concevoir un concept d'application juridique pour résoudre les problèmes d'accès à la justice.

L'ensemble des cinq modules est destiné à fonctionner comme un "mini-cours" pour les élèves du secondaire de l'Ontario. Chaque module contient des informations générales sur le sujet afin d'aider les instructeurs à préparer les leçons. Les informations générales contiennent des sources permettant aux instructeurs et aux élèves d'approfondir les sujets qui les intéressent. Les modules sont conçus de manière à pouvoir être utilisés dans un environnement d'apprentissage en personne ou virtuel.

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).

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).