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Advanced Calculus
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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.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Harvard University
Provider Set:
Individual Authors
Author:
Sternberg Shlomo and Lynn Loomis
Date Added:
02/16/2011
Beginning Algebra
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CC BY
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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
Mathematics
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
04/16/2012
Beginning and Intermediate Algebra
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CC BY
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Beginning and Intermediate Algebra by Tyler Wallace is a textbook licensed under a Creative Commons Attribution 3.0 Unported License. There is also a student guide and supplemental videos for each section.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
Big Bend Community College
Author:
Tyler Wallace
Date Added:
01/29/2014
Bracing for Heat
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Building on lessons learned over several summers, Kristin Raab—Health Impact Assessment and Climate Change Program Director in the Environmental Health Division of Minnesota’s Department of Health—packaged information from diverse communities into a cohesive toolkit that communities of all sizes can use to prepare for heat waves. The Minnesota Extreme Heat Toolkit describes changing weather conditions in Minnesota, the magnitude of potential health consequences from extreme heat, and key steps communities can take to prevent heat-related illnesses and deaths. The toolkit acknowledges that extreme heat response plans will vary with the size of the community and the habits of its residents: examples from the mostly rural Olmsted County and the urban centers of Saint Paul and Minneapolis illustrate a range of community plans that could be useful in Minnesota and beyond.

Subject:
Atmospheric Science
Physical Science
Material Type:
Case Study
Provider:
National Oceanic and Atmospheric Administration
Provider Set:
U.S. Climate Resilience Toolkit
Date Added:
09/22/2016
CTE Agribusiness & Food Products and Processes: Corn & Oats
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This task was developed by high school and postsecondary mathematics and agriculture sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
07/26/2012
CTE Health Sciences: BMI Calculations
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CC BY-NC-SA
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This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Algebra
Applied Science
Health, Medicine and Nursing
Mathematics
Ratios and Proportions
Statistics and Probability
Material Type:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
07/27/2012
CTE Health Sciences: Spread of Disease
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CC BY-NC-SA
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This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Algebra
Applied Science
Functions
Health, Medicine and Nursing
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
07/26/2012
The Effects of Changing the Parameters of a Linear Equation
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Students, in partners, will use an online graphing program to complete this discovery lesson. Each pair will change one component of an equation at at time and then complete a worksheet to describe the effect of the change.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
06/17/2016
Electrostatics
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Use a series of interactive models and games to explore electrostatics. Learn about the effects positive and negative charges have on one another, and investigate these effects further through games. Learn about Coulomb's law and the concept that both the distance between the charges and the difference in the charges affect the strength of the force. Explore polarization at an atomic level, and learn how a material that does not hold any net charge can be attracted to a charged object. Students will be able to:

Subject:
Applied Science
Chemistry
Education
Physical Science
Physics
Technology
Material Type:
Activity/Lab
Data Set
Game
Lecture Notes
Provider:
Concord Consortium
Provider Set:
Concord Consortium Collection
Author:
The Concord Consortium
Date Added:
12/13/2011
Elementary Algebra
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It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
The Saylor Foundation
Provider Set:
Saylor Textbooks
Author:
John Redden
Date Added:
02/22/2011
High School Calculus
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CC BY-NC
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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
Date Added:
06/01/2018
Integers:   Introduction to the concept, with activities comparing temperatures and money.
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CC BY
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This lesson will be the first of six lessons guiding students in constructing the abstract concepts necessary to understand adding positive and negative integers.
It is designed for adult learners (or middle school or older) who are not fluent with using numbers.

Subject:
Mathematics
Material Type:
Lesson Plan
Date Added:
04/14/2016
Introduc
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CC BY-SA
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Accounting is the process of identifying, measuring, recording, and communicating an organization’s economic activities to users. Users need information for decision making. With an emphasis on the corporate form of business organization, this lesson will examine how financial transactions are analyzed and then reported using four financial statements: the income statement, statement of changes in equity, balance sheet, and statement of cash flows. This lesson introduces each statement using an example based on a fictitious corporate organization called Big Dog Carworks Corp.

Subject:
Business and Communication
Career and Technical Education
Mathematics
Material Type:
Activity/Lab
Assessment
Date Added:
01/22/2018