This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied.

15.875 is a project-based course that explores how organizations can use system dynamics to achieve important goals. In small groups, students learn modeling and consulting skills by working on a term-long project with real-life managers. A diverse set of businesses and organizations sponsor class projects, from start-ups to the Fortune 500. The course focuses on gaining practical insight from the system dynamics process, and appeals to people interested in system dynamics, consulting, or managerial policy-making.

Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

The textbook is written as a series of Quarto Documents in RStudio and is aimed both as an educational resource on the topic of categorical data analysis and as an aid to the use of the R language for statistical computing. The rendered textbook is interactive with tasks and solution as well as a series of lab questions at the end of each chapter. It also includes OER resources for various introductory math and statistics courses.

Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this course, we will give seven sketches on real-world applications of category theory.

This course covers empirical strategies for applied micro research questions. Our agenda includes regression and matching, instrumental variables, differences-in-differences, regression discontinuity designs, standard errors, and a module consisting of 8–9 lectures on the analysis of high-dimensional data sets a.k.a. “Big Data”.

The fact of scarcity forces individuals, firms, and societies to choose among alternative uses – or allocations – of its limited resources. Accordingly, the first part of this summer course seeks to understand how economists model the choice process of individual consumers and firms, and how markets work to coordinate these choices. It also examines how well markets perform this function using the economist’s criterion of market efficiency.
Overall, this course focuses on microeconomics, with some topics from macroeconomics and international trade. It emphasizes the integration of theory, data, and judgment in the analysis of corporate decisions and public policy, and in the assessment of changing U.S. and international business environments.

László Tisza was Professor of Physics Emeritus at MIT, where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course “Applied Geometric Algebra” taught by Professor Tisza in the Spring of 1976.
Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza’s attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems.
The lecture notes came to MIT OpenCourseWare by way of Samuel Gasster, ‘77 (Course 18), who had taken the course and kept a copy of the lecture notes for his own reference. He dedicated dozens of hours of his own time to convert the typewritten notes into LaTeX files and then publication-ready PDFs. You can read about his motivation for wanting to see these notes published in his Preface. Professor Tisza kindly gave his permission to make these notes available on MIT OpenCourseWare.

15.012 Applied Macro- and International Economics uses case studies to investigate the macroeconomic environment in which firms operate. The first half of the course develops the basic tools of macroeconomic management: monetary, fiscal, and exchange rate policy. The class discusses recent emerging market and financial crises by examining their causes and considering how best to address them and prevent them from recurring in the future. The second half evaluates different strategies of economic development. Topics covered in the second half of this course include growth, the role of debt and foreign aid, and the reliance on natural resources.

This course seeks to establish understanding of the development processes of societies and economies by studying several dimensions of sustainability (environmental, social, political, institutional, economy, organizational, relational, and personal) and the balance among them. It explores the basics of governmental intervention, focusing on areas such as the judicial system, environment, social security, and health, and builds skills to determine what type of policy is most appropriate. We also consider implications of new technologies on the financial sector: Internationalization of currencies, mobile payment systems, and cryptocurrencies, and discuss the institutional framework to ensure choices are sustainable across all dimensions and applications.

7.003 is an experimental biology course. You will spend most of your time in the teaching laboratory practicing fundamental techniques in molecular biology, genetics, and cell biology, and working with the model organism Saccharomyces cerevisiae (budding yeast). In addition to learning how to accurately and safely perform these techniques, we want to help you understand how and why they work and what scientific questions they can address. The goal is for you to be able to design your own experiments to perform by the end of the semester.

The topics covered under this course include elements of nuclear physics for engineering students, basic properties of the nucleus and nuclear radiations, quantum mechanical calculations of deuteron bound-state wave function and energy, n-p scattering cross-section, transition probability per unit time and barrier transmission probability. Also explored are binding energy and nuclear stability, interactions of charged particles, neutrons, and gamma rays with matter, radioactive decays, energetics and general cross-section behavior in nuclear reactions.

This course explores elements of nuclear physics for engineering students. It covers basic properties of the nucleus and nuclear radiations; quantum mechanical calculations of deuteron bound-state wave function and energy; n-p scattering cross section; transition probability per unit time and barrier transmission probability. It also covers binding energy and nuclear stability; interactions of charged particles, neutrons, and gamma rays with matter; radioactive decays; and energetics and general cross section behavior in nuclear reactions.

6.728 is offered under the department’s “Devices, Circuits, and Systems” concentration. The course covers concepts in elementary quantum mechanics and statistical physics, introduces applied quantum physics, and emphasizes an experimental basis for quantum mechanics. Concepts covered include: Schrodinger’s equation applied to the free particle, tunneling, the harmonic oscillator, and hydrogen atom, variational methods, Fermi-Dirac, Bose-Einstein, and Boltzmann distribution functions, and simple models for metals, semiconductors, and devices such as electron microscopes, scanning tunneling microscope, thermonic emitters, atomic force microscope, and others.

I designed the course for graduate students who use statistics in their research, plan to use statistics, or need to interpret statistical analyses performed by others. The primary audience are graduate students in the environmental sciences, but the course should benefit just about anyone who is in graduate school in the natural sciences. The course is not designed for those who want a simple overview of statistics; we’ll learn by analyzing real data. This course or equivalent is required for UMB Biology and EEOS Ph.D. students. It is a recommended course for several of the intercampus graduate school of marine science program options.

This course provides a phenomenological approach to superconductivity, with emphasis on superconducting electronics. Topics include: electrodynamics of superconductors, London’s model, flux quantization, Josephson Junctions, superconducting quantum devices, equivalent circuits, high-speed superconducting electronics, and quantized circuits for quantum computing. The course also provides an overview of type II superconductors, critical magnetic fields, pinning, the critical state model, superconducting materials, and microscopic theory of superconductivity.

Applied Technical Mathematics for Horticulture and Diesel Mechanics is intended for a one-semester class with students who enter the semester with a good working-level of math skills.  High school algebra and geometry are the only prerequisites,The technical math course at Kishwaukee College is unique in that the class combines students in horticulture with those from diesel mechanics.  The course materials apply to both areas, as much as possible.  The intent is to provide a solid foundation for solving job-related math problems for all students in the class.  For this reason, the focus is on "how to solve" more than "why does this work?"Feedback, comments, etc. would be greatly appreciated!Robert E. Brownrbrown3@kish.edu

Apprenticechip is a course on case studies in and techniques for creating digital libraries for apprentice learners.

The goals of this course are: 1. Learn a 10 step approach to digital library design, creation, curation, operation and evaluation. 2. Through the lens of this 10 step approach, review case studies of over 20 digital libraries of various sizes, encompassing a variety of disciplines, addressing diverse missions, utilizing a variety of technologies and learn how they succeeded and failed. 3. Use this 10 step approach to create your own small digital library to help apprentice learners in your area of professional expertise or personal passion.

We also wish to provide an introduction to digital libraries and to explore the questions 1) What is the history of digital libraries and learning? 2) What is the future of digital libraries and learning? 3) How can we create digital libraries that help apprentice learners? and 4) What role do professional + amateur librarians have to play in the future of digital libraries and learning?

Each lecture in this series focuses on a single play by Shakespeare, and employs a range of different approaches to try to understand a central critical question about it. Rather than providing overarching readings or interpretations, the series aims to show the variety of different ways we might understand Shakespeare, the kinds of evidence that might be used to strengthen our critical analysis, and, above all, the enjoyable and unavoidable fact that Shakespeare's plays tend to generate our questions rather than answer them.

This course details the quantitative treatment of chemical processes in aquatic systems such as lakes, oceans, rivers, estuaries, groundwaters, and wastewaters. It includes a brief review of chemical thermodynamics that is followed by discussion of acid-base, precipitation-dissolution, coordination, and reduction-oxidation reactions. Emphasis is on equilibrium calculations as a tool for understanding the variables that govern the chemical composition of aquatic systems and the fate of inorganic pollutants.
This course is offered through The MIT/WHOI Joint Program. The MIT/WHOI Joint Program is one of the premier marine science graduate programs in the world. It draws on the complementary strengths and approaches of two great institutions: the Massachusetts Institute of Technology (MIT) and the Woods Hole Oceanographic Institution (WHOI).