6th Grade Regular Math: Course Scope & Sequence.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Liberty Public Schools
- Date Added:
- 08/15/2017

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6th Grade Regular Math: Course Scope & Sequence.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Liberty Public Schools
- Date Added:
- 08/15/2017

Conditional Remix & Share Permitted

CC BY-NC-SA
7th Grade Regular Math: Course Scope & Sequence.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Liberty Public Schools
- Date Added:
- 08/15/2017

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CC BY-NC-SA
8th Grade Regular Math: Course Scope & Sequence.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Liberty Public Schools
- Date Added:
- 08/15/2017

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This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.

- Subject:
- Algebra
- Material Type:
- Full Course
- Provider:
- The Saylor Foundation
- Date Added:
- 08/28/2013

Unrestricted Use

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In this course students gain proficiency in Linear Equations, Linear Inequalities, Graphing linear equations, Solving Systems of Equations, Simplifying with Polynomials, Division of Polynomials, Factoring Polynomials, Developing a Factoring Strategy, and Solving Other Algebraic Equations.

- Subject:
- Career and Technical Education
- Education
- Mathematics
- Material Type:
- Full Course
- Author:
- Boyoung Chae
- SBCTC Admin
- Date Added:
- 02/01/2018

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The College and Career Readiness Standards for Level E (High School) outline the outcomes for this course.In this course students gain proficiency in Functions, Linear Functions, Solving Quadratics, Quadratic Functions, Exponential Functions, and Logarithmic Functions.

- Subject:
- Career and Technical Education
- Education
- Mathematics
- Material Type:
- Full Course
- Author:
- Boyoung Chae
- SBCTC Admin
- Date Added:
- 02/01/2018

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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.

- Subject:
- Calculus
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Author:
- Dale Hoffman
- David Lippman
- Shana Calaway
- Date Added:
- 03/31/2016

Unrestricted Use

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This is a "first course" in the sense that it presumes no previous course in probability. The units are modules taken from the unpublished text: Paul E. Pfeiffer, ELEMENTS OF APPLIED PROBABILITY, USING MATLAB. The units are numbered as they appear in the text, although of course they may be used in any desired order. For those who wish to use the order of the text, an outline is provided, with indication of which modules contain the material.

- Subject:
- Statistics and Probability
- Material Type:
- Full Course
- Provider:
- Rice University
- Provider Set:
- OpenStax CNX
- Author:
- Paul E. Pfeiffer
- Date Added:
- 09/18/2009

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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; well 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.

- Subject:
- Statistics and Probability
- Material Type:
- Full Course
- Provider:
- UMass Boston
- Provider Set:
- UMass Boston OpenCourseWare
- Author:
- Eugene Gallagher
- Date Added:
- 10/14/2015

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This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers using an integrated geometry and statistics approach. The course uses the late integers modelintegers are only introduced at the end of the course.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Author:
- David Lippman
- Date Added:
- 03/31/2016

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Second course in a two-course sequence. Introduces and applies technical skills around beginning and managing a small business, including spreadsheets and the use of charts and graphs. Includes reflection and discussion of the application of concepts to a real-world example. Requires teamwork and collaboration to be exercised in completing a group project. Covers application of financial, legal, and administrative procedures in running a business.

Upon successful completion of this course, students will be able to:

Represent business models in spreadsheets including preparation of charts and graphs. Apply key business activities and the primary concepts and terms associated with these activities. Manage a business interacting with the external environment (through a simulation) and describe how this interaction impacts both business and the external environment. Implement the financial, legal, and administrative procedures involved in starting new business ventures. Identify ethical issues facing businesses. Effectively collaborate with team members and communicate professionally.

- Subject:
- Management
- Measurement and Data
- Material Type:
- Full Course
- Provider:
- Linn-Benton Community College
- Author:
- Mindy Bean
- Date Added:
- 07/09/2020

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Topics include signed numbers, decimal numbers, exponential notation, scientific notation, solving and graphing linear equations, an introduction to polynomials, and systems of linear equations and their graphs. Geometrical topics include lines and angles, closed curves and convex polygons, triangles and similarities, and symmetry and proportion in nature and art. Students may complete this course during the first three weeks of the semester by passing the MyMathLab modules. Students will then be eligible to take either MAT 099 Intermediate Algebra, MAT 114-Quantitative Reasoning or MAT 120-Intro to Statistics the following semester. This course does not satisfy degree requirements. Students may complete this course during the first three weeks of the semester by passing the MyOpenMath Acceleration assignments.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Roxbury Community College
- Author:
- Valerie Dietel-Brenneman
- Date Added:
- 05/15/2019

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BPCC Open Campus - Math 097: Basic Mathematics is a review of basic mathematics skills. Here's what's covered: -fundamental numeral operations of addition, subtraction, multiplication division of whole numbers, fractions, and decimals -ratio and proportion -percent -systems of measurement -an introduction to geometry NOTE: Open Campus courses are non-credit reviews and tutorials and cannot be used to satisfy requirements in any curriculum at BPCC.

- Subject:
- Education
- Mathematics
- Material Type:
- Assessment
- Full Course
- Lecture
- Lesson
- Unit of Study
- Author:
- Allison Martin
- Date Added:
- 10/11/2017

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This course is a continuation of MAT087, Basic Mathematics. Topics include signed numbers, decimal numbers, exponential notation, scientific notation, solving and graphing linear equations, an introduction to polynomials, and systems of linear equations and their graphs. Geometrical topics include lines and angles, closed curves and convex polygons, triangles and similarities, and symmetry and proportion in nature and art. Students may complete this course during the first three weeks of the semester by passing the MyMathLab modules. Students will then be eligible to take either MAT 099 Intermediate Algebra, MAT 114-Quantitative Reasoning or MAT 120-Intro to Statistics the following semester. This course does not satisfy degree requirements.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Roxbury Community College
- Author:
- John McColgan
- Date Added:
- 05/15/2019

Unrestricted Use

CC BY
- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Northern Essex Community College
- Author:
- Jim Sullivan
- Date Added:
- 05/15/2019

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This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. 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 001)

- Subject:
- Algebra
- Material Type:
- Full Course
- Provider:
- The Saylor Foundation
- Date Added:
- 04/16/2012

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This course covers a range of algebraic topics: Setting up and solving linear equations, graphing, finding linear relations, solving systems of equations, working with polynomials, factoring, working with rational and radical expressions, solving rational and radical equations, solving quadratic equations, and working with functions. More importantly, this course is intended to provide you with a solid foundation for the rest of your math courses. As such, emphasis will be placed on mathematical reasoning, not just memorizing procedures and formulas. There is enough content in this course to cover both beginning and intermediate college-level algebra.

- Subject:
- Algebra
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Author:
- Tyler Wallace
- Date Added:
- 03/31/2016

Unrestricted Use

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Companion Site for Harvard Medical School Canvas Network MOOC Best Practices for Biomedical Research Data Management. This Open Science Framework project site includes all the materials contained in the Canvas course including: readings and resources; slide presentations; video lectures; activity outlines; research case studies and questions; and quiz questions with answer guide.

- Subject:
- Health, Medicine and Nursing
- Information Science
- Measurement and Data
- Material Type:
- Full Course
- Author:
- Elaine Martin
- Julie Goldman
- Date Added:
- 03/01/2021

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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:
- Health, Medicine and Nursing
- Information Science
- Measurement and Data
- Material Type:
- Full Course
- Provider:
- Harvard University
- Author:
- Elaine Martin
- Julie Goldman
- Date Added:
- 01/05/2018

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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:
- Computer Science
- Education
- Mathematics
- Statistics and Probability
- Social Science
- Material Type:
- Activity/Lab
- Assessment
- Data Set
- Full Course
- Homework/Assignment
- Lecture Notes
- Lesson Plan
- Teaching/Learning Strategy
- Author:
- Ben Lerner
- Dorai Sitaram
- Emmanuel Schanzer
- Emma Youndtsmith
- Flannery Denny
- Jennifer Poole
- Joe Politz
- Nancy Pfenning
- Shriram Krishnamurthi
- Date Added:
- 08/31/2020

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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
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Date Added:
- 03/31/2016

Unrestricted Use

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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
- 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

Unrestricted Use

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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
- Statistics and Probability
- Material Type:
- Activity/Lab
- Full Course
- Homework/Assignment
- Reading
- Syllabus
- Provider:
- The Saylor Foundation
- Date Added:
- 11/10/2011

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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
- Material Type:
- Activity/Lab
- Full Course
- Reading
- Provider:
- Georgia Department of Education
- Provider Set:
- Georgia Virtual Learning
- Date Added:
- 08/02/2013

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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
- 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

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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

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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:
- Mathematics
- Calculus
- Material Type:
- Full Course
- Provider:
- MIT
- Author:
- Gilbert Strang
- Date Added:
- 01/01/1991

Read the Fine Print

Calculus is the mathematics of CHANGE and almost everything in our world is changing. In this course, you will investigate limits and how they are used to calculate rate of change at a point, define the continuity of a function and how they are used to define derivatives. Definite and indefinite integrals and their applications are covered, including improper integrals. Late in the course, you will find Calculus with parametric equations and polar coordinates, sequences and series, and vectors.

- Subject:
- Calculus
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Author:
- Dale Hoffman
- David Lippman
- Jeff Eldridge
- Melonie Rasmussen
- Date Added:
- 03/31/2016

Unrestricted Use

CC BY
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_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_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_ĺĚĺ_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
- Material Type:
- Assessment
- Full Course
- Reading
- Syllabus
- Textbook
- Provider:
- The Saylor Foundation
- Date Added:
- 04/16/2012

Unrestricted Use

CC BY
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

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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
- 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

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CC BY-NC-SA
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:
- Mathematics
- Calculus
- Material Type:
- Full Course
- Author:
- Hellen Colman
- Date Added:
- 04/21/2022

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CC BY-NC
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

Unrestricted Use

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This course is a brief introduction to sequences and infinite series. We begin with a discussion of power series and develop tests for convergence and non-convergence. Taylor series are introduced and lead to an analysis of power series in general. This is a 1-credit course that can be taken any time after the student has completed Calculus I.

- Subject:
- Calculus
- Material Type:
- Full Course
- Provider:
- Roxbury Community College
- Author:
- Javad Moulai
- Date Added:
- 05/15/2019

Unrestricted Use

CC BY
We believe that calculus can be for students what it was for Euler and the Bernoullis: a language and a tool for exploring the whole fabric of science. We also believe that much of the mathematical depth and vitality of calculus lies in connections to other sciences. The mathematical questions that arise are compelling in part because the answers matter to other disciplines. We began our work with a "clean slate," not by asking what parts of the traditional course to include or discard. Our starting points are thus our summary of what calculus is really about. Our curricular goals are what we aim to convey about the subject in the course. Our functional goals describe the attitudes and behaviors we hope our students will adopt in using calculus to approach scientific and mathematical questions.

- Subject:
- Calculus
- Material Type:
- Full Course
- Student Guide
- Textbook
- Provider:
- Smith College
- Author:
- David Cox
- Donal O'Shea
- Harriet Pollatsek
- James Callahan
- Kenneth Hoffman
- Lester Senechal
- The Five College Calculus Project
- Date Added:
- 04/16/2020

Only Sharing Permitted

CC BY-NC-ND
The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET).

UC Irvine Extension's online test-preparation courses correspond with the 10 CSET science subtests and three CSET mathematics subtests.

- Subject:
- Biology
- Algebra
- Trigonometry
- Astronomy
- Physics
- Material Type:
- Assessment
- Full Course
- Homework/Assignment
- Reading
- Provider:
- U.C. Irvine
- Provider Set:
- U.C. Irvine OpenCourseWare
- Author:
- University of California, Irvine
- Date Added:
- 02/16/2011

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Students will take active roles in learning the game of chess and improving their skills, ability, and knowledge of the game. Students will read the course material, complete practice drills for each module, complete and submit all assessments and submit properly recorded (notated) games that they played. Course content includes: rules, strategy, tactics and algebraic notation (the 'language' of chess).

- Subject:
- Mathematics
- Material Type:
- Full Course
- Author:
- Keith Martin
- Date Added:
- 01/28/2016

Read the Fine Print

This course covers relations and functions, specifically, linear, polynomial, exponential, logarithmic, and rational functions. Additionally, sections on conics, systems of equations and matrices and sequences are also available.

- Subject:
- Algebra
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Author:
- Carl Stitz
- Jeff Zeager
- Date Added:
- 03/31/2016

Read the Fine Print

It is often said that mathematics is the language of science. If this is true, then the language of mathematics is numbers. The earliest use of numbers occurred 100 centuries ago in the Middle East to count, or enumerate items. Farmers, cattlemen, and tradesmen used tokens, stones, or markers to signify a single quantitya sheaf of grain, a head of livestock, or a fixed length of cloth, for example. Doing so made commerce possible, leading to improved communications and the spread of civilization.

- Subject:
- Algebra
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Date Added:
- 08/18/2016

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CC BY-NC
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.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Syllabus
- Author:
- Emergent Math
- Geoff Krall
- Date Added:
- 04/13/2021

Unrestricted Use

CC BY
Full course on Contemporary Mathematical Applications.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Springfield Technical Community College
- Author:
- Ann Simao
- Date Added:
- 05/15/2019

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CC BY-NC-SA
Course Description: This course will assist learners to find the math that is used in the real-world. Learners will learn how to solve real-life problems using mathematical stills they will acquire as they work through these lessons. By the end of this course, learners will be able to design their own project and discuss the math in it with their classmates.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Author:
- Brooke Istas
- Date Added:
- 05/24/2018

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CC BY-NC-SA
Are you ready to leave the sandbox and go for the real deal? Have you followed Data Analysis: Take It to the MAX() and Data Analysis: Visualization and Dashboard Design and are ready to carry out more robust data analysis?

In this project-based course you will engage in a real data analysis project that simulates the complexity and challenges of data analysts at work. Testing, data wrangling, Pivot Tables, sparklines? Now that you have mastered them you are ready to apply them all and carry out an independent data analysis.

For your project, you will pick one raw dataset out of several options, which you will turn into a dashboard. You will begin with a business question that is related to the dataset that you choose. The datasets will touch upon different business domains, such as revenue management, call-center management, investment, etc.

- Subject:
- Engineering
- Measurement and Data
- Material Type:
- Full Course
- Provider:
- Delft University of Technology
- Provider Set:
- Delft University OpenCourseWare
- Author:
- Dr. Felienne Hermans
- Date Added:
- 07/31/2018

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In an increasingly data-driven world, data and its use aren’t always all it’s cracked up to be. This course aims to address the critical lack of any or appropriate data in many areas where complex decisions need to be made.

For instance, how can you predict volcano activity when no eruptions have been recorded over a long period of time? Or how can you predict how many people will be resistant to antibiotics in a country where there is no available data at national level? Or how about estimating the time needed to evacuate people in flood risk areas?

In situations like these, expert opinions are needed to address complex decision-making problems. This course, aimed at researchers and professionals from any academic background, will show you how expert opinion can be used for uncertainty quantification in a rigorous manner.

Various techniques are used in practice. They vary from the informal and undocumented opinion of one expert to a fully documented and formal elicitation of a panel of experts, whose uncertainty assessments can be aggregated to provide support for complex decision making.

In this course you will be introduced to state-of-the-art expert judgment methods, particularly the Classical Model (CM) or Cooke’s method, which is arguably the most rigorous method for performing Structured Expert Judgment.

CM, developed at TU Delft by Roger Cooke, has been successfully applied for over 30 years in areas as diverse as climate change, disaster management, epidemiology, public and global health, ecology, aeronautics/aerospace, nuclear safety, environment and ecology, engineering and many others.

- Subject:
- Engineering
- Statistics and Probability
- Material Type:
- Full Course
- Provider:
- Delft University of Technology
- Provider Set:
- Delft University OpenCourseWare
- Author:
- Dr. A.M. Hanea
- Dr. ir. G.F. Nane
- Prof. dr. R.M. Cooke
- Date Added:
- 02/14/2020

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CC BY-SA
This course covered the mathematical topics most directly related to computer science. Topics included: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, graph theory, combinatorics, discrete probability, recursion, recurrence relations, and number theory. Emphasis will be placed on providing a context for the application of the mathematics within computer science. The analysis of algorithms requires the ability to count the number of operations in an algorithm. Recursive algorithms in particular depend on the solution to a recurrence equation, and a proof of correctness by mathematical induction. The design of a digital circuit requires the knowledge of Boolean algebra. Software engineering uses sets, graphs, trees and other data structures. Number theory is at the heart of secure messaging systems and cryptography. Logic is used in AI research in theorem proving and in database query systems. Proofs by induction and the more general notions of mathematical proof are ubiquitous in theory of computation, compiler design and formal grammars. Probabilistic notions crop up in architectural trade-offs in hardware design.

- Subject:
- Computer Science
- Mathematics
- Material Type:
- Assessment
- Full Course
- Homework/Assignment
- Lecture
- Lecture Notes
- Reading
- Syllabus
- Provider:
- ArsDigita University
- Provider Set:
- ArsDigita University
- Author:
- Shai Simonson
- Date Added:
- 02/16/2011

Unrestricted Use

CC BY
Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

- Subject:
- Algebra
- Material Type:
- Full Course
- Textbook
- Provider:
- Rice University
- Provider Set:
- OpenStax CNX
- Author:
- Denny Burzynski
- Wade Ellis
- Date Added:
- 08/16/2010

Read the Fine Print

Mathematics

- Subject:
- Mathematics
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Date Added:
- 03/31/2016

Unrestricted Use

CC BY
In this course, you will cover some of the most basic math applications, like decimals, percents, and even fractions. You will not only learn the theory behind these topics, but also how to apply these concepts to your life. You will learn some basic mathematical properties, such as the reflexive property, associative property, and others. The best part is that you most likely already know them, even if you did not know the proper mathematical terminology.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Full Course
- Homework/Assignment
- Reading
- Syllabus
- Provider:
- The Saylor Foundation
- Date Added:
- 08/28/2013

Conditional Remix & Share Permitted

CC BY-NC-SA
As taught in 2006-2007 and 2007-2008.

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions.

This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include:

– norm topology and topological isomorphism;

– boundedness of operators;

– compactness and finite dimensionality;

– extension of functionals;

– weak*-compactness;

– sequence spaces and duality;

– basic properties of Banach algebras.

Suitable for: Undergraduate students Level Four

Dr Joel F. Feinstein

School of Mathematical Sciences

Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras.

Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Lecture
- Module
- Syllabus
- Provider:
- University of Nottingham
- Author:
- Dr Joel Feinstein
- Date Added:
- 03/23/2017

Unrestricted Use

CC BY
Introductory Statistics Course covering hypothesis testing, confidence interval, sampling, probability, counting techniques, correlation, linear regression, data collection and more.

- Subject:
- Statistics and Probability
- Material Type:
- Full Course
- Provider:
- Bristol Community College
- Author:
- Dan Avedikian
- Date Added:
- 05/01/2019

Conditional Remix & Share Permitted

CC BY-NC
Download GeoGebra Illustrative Mathematics LMS course files. All of GeoGebra's Illustrative Mathematics apps have been placed via links into Moodle courses - each unit is one course. There are twenty save middles school courses and more for high school (the list is growing.) These course files can then be uploaded into Moodle, Schoology, Canvas or D2L.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Author:
- Dan MGuire
- Diana Fisher Ph.D.
- Date Added:
- 04/07/2021

Conditional Remix & Share Permitted

CC BY-NC-SA
Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.

- Subject:
- Geometry
- Material Type:
- Full Course
- Provider:
- The Open University
- Provider Set:
- Open University OpenLearn
- Date Added:
- 12/15/2008

Unrestricted Use

CC BY
In this course students gain proficiency in basic geometric concepts, including properties of triangles, circles, and polygons; transformations including translations, rotations, reflections, and dilations; and working with surface area and volume of solids.

- Subject:
- Career and Technical Education
- Education
- Mathematics
- Material Type:
- Full Course
- Author:
- Boyoung Chae
- SBCTC Admin
- Date Added:
- 02/01/2018

Unrestricted Use

CC BY
In this course, you will study the relationships between lines and angles. You will learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and other relationships between shapes, objects, and the mathematics that govern them.

- Subject:
- Geometry
- Material Type:
- Activity/Lab
- Full Course
- Homework/Assignment
- Reading
- Syllabus
- Provider:
- The Saylor Foundation
- Date Added:
- 08/28/2013

Conditional Remix & Share Permitted

CC BY-NC-SA
In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in P-12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes. The full year of Grade 7 Mathematics curriculum is available from the module links.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Homework/Assignment
- Lesson Plan
- Textbook
- Unit of Study
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 05/09/2014

Conditional Remix & Share Permitted

CC BY-NC-SA
Grades 9-12 Personalized Learning Plan Algebra I, Algebra II, and Geometry Scope & Sequence

- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Liberty Public Schools
- Date Added:
- 07/11/2022

Conditional Remix & Share Permitted

CC BY-NC
Calculus is a year-long course that is comparable to calculus courses at the college or university level. In this course, the technological tools required for exploring, learning, and communicating calculus concepts include Microsoft Word with Microsoft Equation (or its equivalent) for typing math assignments, an approved graphing calculator (see a list of acceptable calculators at College Board AP Central) for the AP Calculus exam, and some type of grapher for creating graphs online such as Graphmatica (Windows) or Grapher (MAC) or an online graphing utility of your choice.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Author:
- Deanna Mayers
- Date Added:
- 06/01/2018

Conditional Remix & Share Permitted

CC BY-NC-SA
Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.

- Subject:
- Calculus
- Material Type:
- Full Course
- Provider:
- MIT
- Provider Set:
- High School Highlights
- Author:
- Gilbert Strang
- Date Added:
- 09/04/2019

Only Sharing Permitted

CC BY-NC-ND
This “How To….” Manual is intended to assist the new user in implementing standard statistical methods, both parametric and non-parametric, using R statistical software. Its focus is on R implementation, not statistical theory. It includes the R commands, with examples, for the following: proportion tests, t-tests, ANOVA, variance tests, several correlation measures and regression models, Mann-Whitney-Wilcoxon tests, Kruskal-Wallis tests, chi-squared tests, multiple pairwise comparisons and effect sizes. Basic graphical methods are also illustrated.

- Subject:
- Mathematics
- Statistics and Probability
- Material Type:
- Data Set
- Full Course
- Textbook
- Provider:
- Fontbonne University
- Author:
- Elizabeth Newton
- Date Added:
- 06/02/2020

How to Learn Math is a free self-paced class for learners of all levels of mathematics. It combines really important information on the brain and learning with new evidence on the best ways to approach and learn math effectively. Many people have had negative experiences with math, and end up disliking math or failing. This class will give learners of math the information they need to become powerful math learners, it will correct any misconceptions they have about what math is, and it will teach them about their own potential to succeed and the strategies needed to approach math effectively.

Permitted use: the texts, exams, video, images, and other instructional materials provided with the courses and programs offered on the edX Site are for your personal use in connection with those courses and programs only.

- Subject:
- Mathematics
- Material Type:
- Full Course
- Author:
- Stanford Graduate School of Education
- YouCubed
- Date Added:
- 03/16/2020