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.

This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions.
This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.024. In 2005, ocean engineering subjects became part of Course 2 (Department of Mechanical Engineering), and this course was renumbered 2.29.

Mathematics is the language of Science, Engineering and Technology. Calculus is an elementary Mathematical course in any Science and Engineering Bachelor. Pre-university Calculus will prepare you for the Introductory Calculus courses by revising four important mathematical subjects that are assumed to be mastered by beginning Bachelor students:

functions,
equations,
differentiation,
integration.

Preuniversity Calculus has been awarded with the Award for Open Education Excellence in the Open MOOC category in 2016.

This article discusses Project FeederWatch, a real-time citizen science project, and how elementary teachers can use this bird data to integrate math lessons and concepts.

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:

"In 2015, the United Nations laid out 17 Sustainable Development Goals for the world. The goals aim to improve the lives of millions through actions such as ending poverty, protecting the planet, and assuring prosperity for all. Their success, however, depends on whether leaders can effectively mobilize to meet them. A team of researchers argues that this mobilization is unlikely without greater focus on implementing the goals in an integrated way. Finding connections among means of implementation, they say, will avoid wasted efforts and maximize efficiency. One of the biggest risks in overlooking these connections is contradictory efforts. Boosting industrial output, for example, could reduce the availability of clean drinking water. In this case, working towards one goal makes it harder to meet another. By understanding these connections between goals, however, leaders can tackle one target in a way that benefits many others..."

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

Students will learn about the water cycle, watersheds, and point and non-point source pollution. Students will then apply this knowledge to take a position in the debate about the proposed development at Hawn's Bridge Peninsula at Raystown Lake and write a letter to the editor expressing their opinion. Pairs well with an Engineering Design Challenge or a Meaningful Watershed Educational Experience (MWEE).

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.

This article reviews the book "Using Science Notebooks in Elementary Classrooms" by Michael Klentschy and provides basic information about the role of notebooks in instruction and assessment.

"Sinergia Científica: Integrando las Ciencias desde una Perspectiva Multidisciplinaria" es un compendio de estudios que abarcan diversas disciplinas, uniendo la ciencia en un esfuerzo colectivo para resolver problemas complejos. El primer capítulo presenta una innovación en la cuyicultura sostenible, explorando la suplementación alimenticia con harina de amaranto y cúrcuma en cuyes. El segundo capítulo se adentra en el ámbito social, analizando los Derechos Humanos desde la perspectiva de las poblaciones vulnerables. En el tercer capítulo, se introduce un enfoque innovador en ingeniería civil, utilizando polímeros reciclados para el diseño de revestimientos de cunetas. El cuarto capítulo examina el impacto económico de la facturación electrónica en el sector de imprentas, un avance tecnológico crucial en la era digital. Finalmente, el quinto capítulo explora la influencia del neuromarketing en la rentabilidad de las PYMES, uniendo la neurociencia y el marketing para optimizar las estrategias comerciales. Este libro es un testimonio de cómo la integración multidisciplinaria puede conducir a soluciones innovadoras y sostenibles.

Single Variable Calculus: An Introduction to Integration is a free and open textbook and is a great introduction to integration for students who have already taken courses in differential calculus. The book explains Calculus II concepts adequately, comprehensively, and concisely, and its topics are reflective of the content areas in other published Calculus textbooks. Problems in the textbook do not only test computational skills, but are also applicable and related to real-life problems and areas that students are interested in. The text gives an adequate picture of Calculus II – Integral Calculus and prepares students for other disciplines like Engineering and Physics, as well as higher-level Mathematics courses.

This course explores how social theories of urban life can be related to the city's architecture and spaces. It is grounded in classic or foundational writings about the city addressing such topics as the public realm and public space, impersonality, crowds and density, surveillance and civility, imprinting time on space, spatial justice, and the segregation of difference. The aim of the course is to generate new ideas about the city by connecting the social and the physical, using Boston as a visual laboratory. Students are required to present a term paper mediating what is read with what has been observed.

This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Applications include mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, and differential equations. (No epsilons or deltas are harmed by taking this course.) This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

This article summarizes and links to two Science and Children articles that modify the KWL chart to include literacy skills and evidence-based claims.

This article describes ways to supplement a science unit on the water cycle with the book Water Dance by Thomas Locker. Ideas for art, writing, poetry, and creative movement are included.