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Mathematics Textbooks and Full Courses

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Best Practices for Biomedical Research Data Management - Canvas Network
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Biomedical research today is not only rigorous, innovative and insightful, it also has to be organized and reproducible. With more capacity to create and store data, there is the challenge of making data discoverable, understandable, and reusable. Many funding agencies and journal publishers are requiring publication of relevant data to promote open science and reproducibility of research.

In order to meet to these requirements and evolving trends, researchers and information professionals will need the data management and curation knowledge and skills to support the access, reuse and preservation of data.

This course is designed to address present and future data management needs.

Subject:
Applied Science
Health, Medicine and Nursing
Information Science
Mathematics
Measurement and Data
Material Type:
Full Course
Provider:
Harvard University
Author:
Elaine Martin
Julie Goldman
Date Added:
01/05/2018
Blended Learning Open Source Science or Math Studies (BLOSSOMS)
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BLOSSOMS stands for Blended Learning Science or Math Studies. It is a project sponsored by MIT LINC (Learning International Networks Consortium) a consortium of educators from around the world who are interested in using distance and e-Learning technologies to help their respective countries increase access to quality education for a larger percentage of the population.
BLOSSOMS Online

Subject:
Applied Science
Education
Educational Technology
Engineering
Mathematics
Physical Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Larson, Richard
Date Added:
02/01/2010
Bootstrap: Data Science Pathway
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CC BY-NC-ND
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In Bootstrap:Data Science, students form their own questions about the world around them, analyze data using multiple methods, and write a research paper about their findings. The module covers functions, looping and iteration, data visualization, linear regression, and more. Social studies, science, and business teachers can utilize this module to help students make inferences from data. Math teachers can use this module to introduce foundational concepts in statistics, and it is aligned to state and national standards.

Subject:
Applied Science
Computer Science
Education
Mathematics
Social Science
Statistics and Probability
Material Type:
Activity/Lab
Assessment
Data Set
Full Course
Homework/Assignment
Lecture Notes
Lesson Plan
Teaching/Learning Strategy
Author:
Ben Lerner
Dorai Sitaram
Emma Youndtsmith
Emmanuel Schanzer
Flannery Denny
Jennifer Poole
Joe Politz
Nancy Pfenning
Shriram Krishnamurthi
Date Added:
08/31/2020
Brain and Cognitive Sciences Computational Tutorial Series
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This is a seminar series led by graduate students and postdocs in the MIT Department of Brain and Cognitive Sciences (BCS) from 2015 to the present, featuring tutorials on computational topics relevant to research on intelligence in neuroscience, cognitive science, and artificial intelligence. These tutorials are aimed at participants who have some computational background but are not experts on these topics.
A computational tutorial can consist of any method, tool, or model that is broadly relevant within neuroscience, cognitive science, and artificial intelligence. The goal is to bring researchers in brain and cognitive sciences closer to the researchers creating computational methods. 
Resources posted here include lecture videos, lecture slides, code and datasets for exercises, background references, and other supplementary material. Typically, each tutorial consists of a short lecture, and an interactive part with tutorials or "office hours" to work through practice problems and discuss how the material may be applied to participants’ research. 
This series was organized by Emily Mackevicius, Jenelle Feather, Nhat Le, Fernanda De La Torre Romo, and Greta Tuckute, with financial support from BCS. Videos were filmed, edited, and produced by Kris Brewer, Director of Technology at the Center for Brains, Minds, and Machines (CBMM).

Subject:
Biology
Life Science
Mathematics
Physical Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Date Added:
09/01/2023
Business Calculus
Read the Fine Print
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This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Date Added:
03/31/2016
Business Calculus (MATH 148)
Unrestricted Use
CC BY
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MATH&148 is a calculus course for business students. It is designed for students who want a brief course in calculus. Topics include differential and integral calculus of elementary functions. Problems emphasize business and social science applications. Translating words into mathematics and solving word problems are emphasized over algebra. Applications are mainly business oriented (e.g. cost, revenue, and profit). Mathematical theory and complex algebraic manipulations are not mainstays of this course, which is designed to be less rigorous than the calculus sequence for scientists and engineers. Topics are presented according to the rule of four: geometrically, numerically, analytically, and verbally. That is, symbolic manipulation must be balanced with graphical interpretation, numerical examples, and writing. Trigonometry is not part of the course.

Subject:
Calculus
Mathematics
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
05/03/2013
Business Statistics
Unrestricted Use
CC BY
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0.0 stars

Introductory survey of quantitative methods (QM), or the application of statistics in the workplace. Examines techniques for gathering, analyzing, and interpreting data in any number of fieldsĺÎĺ from anthropology to hedge fund management.

Subject:
Business and Communication
Management
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Reading
Syllabus
Provider:
The Saylor Foundation
Date Added:
11/10/2011
CCGPS Algebra 1
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Full course of Algebra 1 is presented online by Georgia Virtual Learning. Audio, video, text, games and activities are included to engage ninth grade students in learning.

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Full Course
Reading
Provider:
Georgia Department of Education
Provider Set:
Georgia Virtual Learning
Date Added:
08/02/2013
CK-12 Geometry Honors Concepts
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This Geometry Concept Collection is a rigorous presentation of high school geometry. It is fully correlated with the Common Core State Standards.

Subject:
Geometry
Mathematics
Material Type:
Full Course
Homework/Assignment
Interactive
Lecture Notes
Lesson Plan
Textbook
Unit of Study
Provider:
CK-12 Foundation
Author:
Kaitlyn Spong
Date Added:
08/01/2014
CK-12 Middle School Math Concepts - Grade 8
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In CK-12 Middle School Math Concepts – Grade 8, the learning content is divided into concepts. Each concept is complete and whole providing focused learning on an indicated objective. Theme-based concepts provide students with experiences that integrate the content of each concept. Students are given opportunities to practice the skills of each concept through real-world situations, examples, guided practice and explore more practice. There are also video links provided to give students an audio/visual way of connecting with the content.

Subject:
Mathematics
Material Type:
Full Course
Lesson Plan
Textbook
Unit of Study
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
03/28/2016
Calculus
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CC BY-NC-SA
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Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Author:
Gilbert Strang
Date Added:
01/01/1991
Calculus I
Unrestricted Use
CC BY
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This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)

Subject:
Calculus
Functions
Mathematics
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation
Date Added:
04/16/2012
Calculus III
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CC BY
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This is the curriculum for a asynhronous Calculus III course implemented for an eight-week semester and based on courses, which the author taught in 2016-2021 at Middlesex Community College and MassBay Community College. 

Subject:
Mathematics
Material Type:
Full Course
Author:
Igor Baryakhtar
Date Added:
06/30/2021
Calculus III, Fall 2010
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This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.

Subject:
Calculus
Geometry
Mathematics
Material Type:
Full Course
Homework/Assignment
Syllabus
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Catalin Zara
Ph.D.
Date Added:
02/16/2011
Calculus II (full course).
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CC BY-NC-SA
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Complete course available at MyOpenMath. Course ID:142672
.   This work was supported in part by a Wright College grant to create ancillary materials to augment OER materials.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Author:
Hellen Colman
Date Added:
04/21/2022
Calculus I: Single Variable Calculus
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Master the calculus of derivatives, integrals, coordinate systems, and infinite series.
In this three-part series you will learn the mathematical notation, physical meaning, and geometric interpretation of a variety of calculus concepts. Along with the fundamental computational skills required to solve these problems, you will also gain insight into real-world applications of these mathematical ideas.

Part 1: Differentiation
Part 2: Integration
Part 3: Coordinate Systems & Infinite Series

This series of courses is part of the Open Learning Library, which is free to use. You have the option to sign up and enroll in the courses if you want to track your progress, or you can view and use all the materials without enrolling.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Jerison, David
Kamrin, Jennifer
Staffilani, Gigliola
Wang, Stephen
Date Added:
09/01/2020
Calculus I online
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CC BY-NC
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This is the curriculum for the asynchronous Calculus I course implemented for a ten-week semester and based on the courses, which the author taught in Summer 2020 and Summer 2021 at MassBay Community College.

Subject:
Mathematics
Material Type:
Full Course
Author:
Igor Baryakhtar
Date Added:
01/21/2022
Calculus Online Textbook
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CC BY-NC-SA
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First published in 1991 by Wellesley-Cambridge Press, this updated 3rd edition of the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online and a student .

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Strang, Gilbert
Date Added:
09/01/2023