Reflective writing is be a valuable communication tool between instructor and student …

Reflective writing is be a valuable communication tool between instructor and student that fosters critical thinking. When combined with a better model of the scientific method (the AMI) than the "standard" linear model, learners gain a better understanding of the process of science.

László Tisza was Professor of Physics Emeritus at MIT, where he began …

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.

This applied mathematics textbook covers Matrices and Pathways, Statistics and Probability, Finance, …

This applied mathematics textbook covers Matrices and Pathways, Statistics and Probability, Finance, Cyclic, Recursive and Fractal Patterns, Vectors, and Design. The approach used is primarily data driven, using numerical and geometrical problem-solving techniques.

Applied Mathematics, Third Edition. This textbook was written for the math component …

Applied Mathematics, Third Edition. This textbook was written for the math component for Associate of Applied Science degrees at the College of Southern Nevada.

NSCC MATH 1020 Short Description: Applied Math for Food Service is an …

NSCC MATH 1020

Short Description: Applied Math for Food Service is an adapted open textbook created by Amy Savoury. This new open textbook remixes content from two open textbooks published by BC Campus under CC BY licences: Basic Kitchen & Food Service Management by The BC Cook Articulation Committee, and Math for Trades by Chad Flinn and Mark Overgaard.

Word Count: 26676

ISBN: 978-1-990641-68-8

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Business math is the study of mathematics required by the field of …

Business math is the study of mathematics required by the field of business. Business professionals will work with taxes, gross earnings, product prices, and currency exchange; they will be offered loans, lines of credit, mortgages, leases, savings bonds, and other financial tools. This textbook covers all of these topics and how these financial tools can maximize their earnings and minimize their costs. It also discusses how to execute smart monetary decisions both personally and for their business.

Word Count: 21752 (Note: This resource's metadata has been created automatically by …

Word Count: 21752

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

This is an undergraduate course on differential calculus in one and several …

This is an undergraduate course on differential calculus in one and several dimensions. It is intended as a one and a half term course in calculus for students who have studied calculus in high school. The format allows it to be entirely self contained, so that it is possible to follow it without any background in calculus.

Short Description: This book was gathered to use in a 100-level mathematics …

Short Description: This book was gathered to use in a 100-level mathematics course at the College Algebra level. Students are expected to begin at an intermediate algebra level. It is geared primarily toward business majors, it can also be useful for social science and other majors as a quantitative studies course.

Word Count: 85748

Included H5P activities: 7

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The following Problem Based Learning (PrBL) curriculum maps are based on the …

The following Problem Based Learning (PrBL) curriculum maps are based on the Math Common Core State Standards and the associated scope and sequences. The problems and tasks have been scoured from thoughtful math bloggers who have advanced math educator practice by posting their materials online.

Math in Real Life (MiRL) supports the expansion of regional networks to …

Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning. The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students. MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics. The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Math in Real Life (MiRL) supports the expansion of regional networks to …

Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning. The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students. MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics. The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Math in Real Life (MiRL) supports the expansion of regional networks to …

Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning. The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students. MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics. The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

This course introduces finite element methods for the analysis of solid, structural, …

This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear and nonlinear analyses are presented using largely physical arguments. The homework and a term project (for graduate students) involve use of the general purpose finite element analysis program ADINA. Applications include finite element analyses, modeling of problems, and interpretation of numerical results.

This video lesson shows students that math can play a role in …

This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled. During this lesson, students will see and use both deterministic and probabilistic models and will learn by doing through role-playing exercises. The primary exercises between video segments of this lesson are class-intensive simulation games in which members of the class 'infect' each other under alternative math modeling assumptions about disease progression. Also there is an occasional class discussion and local discussion with nearby classmates.

This course examines classical and modern developments in graph theory and additive …

This course examines classical and modern developments in graph theory and additive combinatorics, with a focus on topics and themes that connect the two subjects. The course also introduces students to current research topics and open problems. This course was previously numbered 18.217.

This set of three videos illustrates how math is used in satellite …

This set of three videos illustrates how math is used in satellite data analysis. The videos feature NASA senior climate scientist Claire Parkinson. Parkinson explains how the Arctic and Antarctic sea ice covers are measured from satellite data and how math is used to determine trends in the data. In the first video, she leads viewers from satellite data collection through obtaining a time series of monthly average sea ice extents for November 1978 – December 2012, for the Arctic and Antarctic. In the second video, she begins with the time series from the first video, removes the seasonal cycle by calculating yearly averages, and proceeds to calculate the slopes of the lines to get trends in the data, revealing decreasing sea ice coverage in the Arctic and increasing sea ice coverage in the Antarctic. In the third video, she uses a more advanced technique to remove the seasonal cycle and shows that the trends are close to the same, whichever method is used. She emphasizes the power of math and that the techniques shown for satellite sea ice data can also be applied to a wide range of data sets.

This course emphasizes concepts and techniques for solving integral equations from an …

This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.

This class uses revolutionary programmable interactivity to combine material from three fields …

This class uses revolutionary programmable interactivity to combine material from three fields – Computer Science + Mathematics + Applications – creating an engaging, efficient learning solution to prepare students to be sophisticated and intuitive thinkers, programmers, and solution providers for the modern interconnected online world. Upon completion, students are well trained to be scientific “trilinguals,” seeing and experimenting with mathematics interactively as math is meant to be seen, and ready to participate and contribute to open source development of large projects and ecosystems.

This series of lessons focuses on exposing high school math students to …

This series of lessons focuses on exposing high school math students to relevant applications in the aviation industry. This is the first in the series for the Integrated Math 2 level. This can be taught in conjunction with Unit 1 Lesson 2 Reading Airline Maintenance Graphs but can also be a stand-alone lesson. In this lesson, students will explore the use of a Flight Computer (E-6B) to solve Time-Speed-Distance (TSD) problems.

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