Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

OYH Multimedia Anthologies anthologies collect a range of materials for exploring OYH topics. They parallel and supplement the OYHL school modules, available as Open Education Resources. . Groups of all ages can explore & discuss these rich and varied collections for sharing reflections on aspects of U.S. history and deepening historical knowledge. They are also available through the OYH website, https://www.ownyourhistory.us/multimediaresourcesIn US history, land  ownership provides family security and cohesion, wealth accumulation, and social advancement. American law supports  these goals for most Americans, but often not for Black Americans or other communities of color. The 1960s Civil Rights Movement led to some positive changes, but  inequality continues. This module primarily examines housing and financing discrimination affecting urban Black families, in urban areas, it briefly considers rural Black property ownership.The resource focuses on housing and real property ownership because of the important role of a home as a basis for economic security, wealth creation, family relationships and stability.

In US history, land  ownership provides family security and cohesion, wealth accumulation, and social advancement. The American law supports  these goals for most Americans, but often not for Black Americans or other communities of color. The 1960s Civil Rights Movement led to some positive changes, but  inequality continues. This module primarily examines housing and financing discrimination affecting urban Black families, in urban areas, it briefly considers rural Black property ownership.The module focuses on housing and real property ownership because of the important role of a home as a basis for economic security, wealth creation, family relationships and stability. The country has a substantial social investment in existing housing and the color-based housing patterns that still result in significant segregation in most cities. It asks how to move toward a legal system, housing policies and practices of  genuine equality, opportunity, and freedom for all without separation by color in our cities and communities. While not addressing reparations for inequalities from enslavement and segregation, it  asks students to develop proposals addressing such inequalities.

This course introduces students to some of the major social theories and debates that inspire and inform anthropological analysis. Over the course of the semester, we will investigate a range of theoretical propositions concerning such topics as agency, structure, subjectivity, history, social change, power, culture, and the politics of representation. Ultimately, all theories can be read as statements about human beings and the worlds they create and inhabit. We will approach each theoretical perspective or proposition on three levels: (1) in terms of its analytical or explanatory power for understanding human behavior and the social world; (2) in the context of the social and historical circumstances in which they were produced; and (3) as contributions to ongoing dialogues and debate.

Christopher Hammond, Professor of Mathematics at Connecticut College, published The Art of Analysis, an introductory textbook in real analysis. This resource is freely available for anyone to use, either individually or in a classroom setting.

The primary innovation of this text is a new perspective on teaching the theory of integration. Most introductory analysis courses focus initially on the Riemann integral, with other definitions discussed later (if at all). The paradigm being proposed is that the Riemann integral and the “generalized Riemann integral” should be considered simultaneously, not separately – in the same manner as uniform continuity and continuity. Riemann integrability is simply a special case of integrability, with particular properties that are worth noting. This point of view has implications for the treatment of other topics, particularly continuity and differentiability.

Different types of new data may be created in the course of a project, for instance visualizations, plots, statistical outputs, a new dataset created by integrating multiple datasets, etc. Whenever possible, document your workflow (the process used to clean, analyze and visualize data) noting what data products are created at each step. Depending on the nature of the project, this might be as a computer script, or it may be notes in a text file documenting the process you used (i.e. process metadata). If workflows are preserved along with data products, they can be executed and enable the data product to be reproduced.

Understand the input geospatial data parameters, including scale, map projection, geographic datum, and resolution, when integrating data from multiple sources. Care should be taken to ensure that the geospatial parameters of the source datasets can be legitimately combined.

This resource is a place to house OSPI's briefs and infographics on content integration anchored in science.  The collection will grow over time as resources are developed.

CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

This module is about the foundational information of content integration. You will first read and watch videos about the general defintion of content integration. Next you will see common misconceptions and why they aren't displaying content integration alsong with the fixes you can make for those misunderstandings. Finally you will read and watch a video that are sample lesson plans that incorporate content integration. After reading this module you should have a basic understanding of content integration and an idea of how you can incorporate it into a classroom environment.

This article describes how to use art projects to help students learn science concepts and how this integration helps students with language-based learning disabilities.

This workbook is primarily for students taking a first-year single variable integral calculus course. Topics covered include integration, techniques of integration, differential equations, and infinite series. The book is divided into two parts, with the first part featuring a diverse set of problems with some practical applications. The second part includes the solutions (each problem has a very detailed solution). Summaries of concepts are also included to make the workbook self-contained. OER Description: This problem bank was developed to support undergraduate lower-division students in integral calculus. Using practice problems with detailed solutions, solution prompts, examples, and concept summaries, this open educational resource supports students in building the problem-solving skills needed to master calculus.

This article discusses how the study of weather can meet the NCTM Data Analysis and Probability standard. Links to lessons for grades K-2 and 3-5 are provided.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"Molecular signaling pathways are crucial for cellular function and communication. In order to work properly, the pathways must be sensitive, adaptable, and tunable to specific stimuli and situations. These essential qualities are made possible by intrinsically disordered proteins (IDPs). IDPs can’t fold into stable, defined structures on their own, but many IDPs can gain at least some structure when they bind with specific partners. These and other interactions change the IDPs’ conformations to enable specific and reversible binding, giving the signaling pathways the sensitivity and flexibility they need to function correctly. Algorithms and other computational tools can help identify IDPs and predict their functions. So far, such tools have revealed that IDPs are pervasive in all kingdoms of life. In addition, they’ve shown that IDPs help relay signals from diverse stimuli, such as ions, lipids, proteins, chemicals, and environmental cues in every category of cell signaling pathway and at every step..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space.
MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication.

This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations and direct and iterative methods in linear algebra.

This course is offered to undergraduates and introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems. Topics covered include: fundamental principles of digital computing and the implications for algorithm accuracy and stability, error propagation and stability, the solution of systems of linear equations, including direct and iterative techniques, roots of equations and systems of equations, numerical interpolation, differentiation and integration, fundamentals of finite-difference solutions to ordinary differential equations, and error and convergence analysis. The subject is taught the first half of the term.
This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.002J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject was renumbered 2.993J.

This module is an introduction to integrating technology in K-12 classrooms for the pre-service and in-service teacher. The goal of this module is to give teachers an overview of the basic considerations concerning integrating technology in the classroom to meet the needs of all learners. The learner will assess their access to technology and their personal beliefs and attitudes about technology The learner will examine two models of technology integration. TPACK - Technological Pedagogical Content Knowledge SAMR Model of Technology Integration The Common Core Standards that are related to technology and digital media will be examined. Learners will choose a common core standard that suggests using technology and/or digital sources of information and identify technology(s) that will support the standard and enhance the learning environment. The focus will be on selecting technology for the content area (TK and CK) and determine the level of SAMR addressed in the application of the technology Learners will reflect on best practices for maximizing using technology Learners will use a technology evaluation rubric to evaluate a technology tool selected to meet a specific learning goal. Learners will examine the important considerations regarding ethical and safe use of technology and Internet use. Learners will examine and evaluate the “Privacy Policy” of two educational game companies. Learners will develop a Technology Integration Professional Development Plan that will include their areas of need and a timeline and resources (network/PLC).