This lesson is another demonstration of probability and combinations to determine the probability of making at least 3 out of 5 basketball free throws. [Probability playlist: Lesson 15 of 29]

This lesson uses playing cards and Venn Diagrams to explain the idea of probability [Probability playlist: Lesson 2 of 29]

Probability theory captures a number of essential characteristics of human cognition, including aspects of perception, reasoning, belief revision, and learning. Expressions of degree of belief were used in language long before people began codifying the laws of probability theory. This course explores the history and debates over codifying the laws of probability, how probability theory applies to specific cognitive processes, how it relates to the human understanding of causality, and how new computational approaches to causal modeling provide a framework for understanding human probabilistic reasoning. An introduction to the use of probability theory to capture aspects of cognitive processes. Emphasizes history of probability theory and computational approaches to probabilistic and causal inference. This class is suitable for advanced undergraduates or graduate students specializing in cognitive science, artificial intelligence, and related fields.

This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem.

Quantitative analysis of uncertainty and risk for engineering applications. Fundamentals of probability, random processes, statistics, and decision analysis. Random variables and vectors, uncertainty propagation, conditional distributions, and second-moment analysis. Introduction to system reliability. Bayesian analysis and risk-based decision. Estimation of distribution parameters, hypothesis testing, and simple and multiple linear regressions. Poisson and Markov processes. Emphasis on application to engineering problems.

Students apply what they have learned about the engineering design process to a real-life problem that affects them and/or their school. They chose a problem as a group, and then follow the engineering design process to come up with and test their design solution. This activity teaches students how to use the engineering design process while improving something in the school environment that matters to them. By performing each step of the design process, students can experience what it is like to be an engineer.

Students are introduced to a systematic procedure for solving problems through a demonstration and then the application of the method to an everyday activity. The unit project is introduced to provide relevance to subsequent lessons.

This textbook covers content relevant to COMS342 Problem Solving in Teams and Groups at the University of Kansas.

This course teaches students to conduct a systematic exploratory analysis for complex policy
problems in a multi-actor environment. The goal of such an exploratory analysis is to develop a
better understanding of the various dimensions involved in a complex problem, based on which an
agenda for meaningful further in-depth analysis activities can be developed.
The course consists of a part containing methods and applications, and a part containing theory to
provide insight into the capabilities and limitations of policy analyses within a multi-actor process.
Upon successful completion of the course, the student is able to structure complex policy problems
and set up an agenda for meaningful subsequent analysis.

This course introduces dynamic processes and the engineering tasks of process operations and control. Subject covers modeling the static and dynamic behavior of processes; control strategies; design of feedback, feedforward, and other control structures; model-based control; and applications to process equipment.

Building on their understanding of graphs, students are introduced to random processes on networks. They walk through an illustrative example to see how a random process can be used to represent the spread of an infectious disease, such as the flu, on a social network of students. This demonstrates how scientists and engineers use mathematics to model and simulate random processes on complex networks. Topics covered include random processes and modeling disease spread, specifically the SIR (susceptible, infectious, resistant) model.

The Process of Research Writing is a web-based research writing textbook (or is that textweb?) suitable for teachers and students in research oriented composition and rhetoric classes.

This activity is designed to give students an understanding of one aspect of what an engineer does and the ability to experience various steps in the engineering design process as it relates to a 3D printing task. Students transform into engineers as they work in teams to carry out a 3D printing task by using a blunt-tip needle syringe to print a line using a variety of colored liquid materials (shampoo, conditioner, aloe, and hand sanitizer) into a small plastic box filled with a gel base. Approximating the work of engineers, the teams observe the interactions between the printed material and the gel base at intervals of 10 minutes and iterate, or change, the ink base as necessary to achieve a goal. Using the dye to color the ink allows students to determine which material will permeate or diffuse throughout the base more effectively. Teams share their results to compare with their classmates. A real-world application for this investigation would be when engineers conduct research to develop new medicines, the goal is for the medicine to make its way through the body in the most effective way so that the body can heal.

Production of Educational Videos is an introduction to technical communication that is situated in the production of educational videos; the assignments are all focused on the production of videos that teach some aspect of MIT's first-year core curriculum. The objective of these assignments is improvement in both communication ability and communication habits; these improvements are effected by providing participants with instruction, practice, feedback, and the opportunity for reflection. In addition to improvements in communication skills, improvement is expected in students' attitude towards writing, oral presentations, and collaboration; as the semester progresses, students should feel confident of their ability to write, present, and collaborate.

Covers modern tools and methods for product design and development. The cornerstone is a project in which teams of management, engineering, and industrial design students conceive, design, and prototype a physical product. Class sessions employ cases and hands-on exercises to reinforce the key ideas. Topics include: product planning, identifying customer needs, concept generation, product architecture, industrial design, concept design, and design-for-manufacturing.

Students investigate the life cycles of engineered products and how they impact the environment. They use a basic life cycle assessment method that assigns fictional numerical values for different steps in the life cycle. Then they use their analyses to compare the impacts of their products to other products, and suggest ways to reduce environmental impact based on their analyses.

Subject engages a dialogue with architecture and urbanism from the perspective of the visual artist. Ideas investigated thematically from early modernist practices to the most recent examples of contemporary production. Art making as an adjunct to the design process is challenged by both synthetic and critical models of production. Visual art practice is examined as a conceptual prologue to architectural and urbanistic thinking, as an integrated part of the design process, and as a critical epilogue. Lectures and discussions lead to the development of realized projects to be coordinated with architectural studio. This seminar engages in the notion of space from various points of departure. The goal is first of all to engage in the term and secondly to examine possibilities of art, architecture within urban settings in order to produce what is your interpretation of space.

Digital accessibility skills are in high demand, as the world becomes more aware of barriers in digital content that prevent some people from participating in a digital society. These are essential skills for web developers, and essential knowledge for organizations that want to ensure their web content is reaching the broadest audience possible.

This task compares the usefulness of different forms of a quadratic expression. Students have to choose which form most easily provides information about the maximum value, the zeros and the vertical intercept of a quadratic expression in the context of a real world situation. Rather than just manipulating one form into the other, students can make sense out of the structure of the expressions.