Learning and Understanding Mathematical Concepts in the Areas of Water Distribution and Water Treatment. From College of the Canyons.

Table of Contents
Section 1: Unit Dimensional Analysis
Section 2: Geometric Shapes
Section 3: Density and Specific Gravity
Section 4: Chemical Dosage Analysis
Section 5: Weir Overflow Rate
Section 6: Water Treatment Math Detention Time
Section 7: CT Calculations
Section 8: Pressure, Head Loss, and Flow
Section 9: Well Yield, Specific Capacity, and Drawdown
Section 10: Horsepower and Efficiency
Section 11: Per Capita Water Usage
Section 12: Blending and Diluting
Section 13: Scada and the Use of mA
Section 14: Water Utility Management

North American ecosystems have fundamentally changed over the late Pleistocene and Holocene; from a system dominated by mammoths, to bison, to domestic livestock. Given the very different body size and herd formation of these 'ecosystem engineers', it is likely that animals influence soil structure, water tables, vegetation and other animals in the ecosystems. What has been the ecological influence of the continued 'downsizing' of the largest animals in the ecosystem?

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This is a learning module that uses data to investigate trends in attitudes regarding the rights of homosexuals in the United States from the early 1990s through 2007.

This online set of activities help students learn properties of ocean waves, wind-wave relationships and properties of tsunamis.

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This activity introduces students to high precision GPS as it is used in geoscience research. Students build "gumdrop" GPS units and study data from three Alaska GPS stations from the Plate Boundary Observatory network. They learn how Alaska's south central region is "locked and loading" as the Pacific Plate pushes into North America and builds up energy that will be released in the future in other earthquakes such as the 1964 Alaska earthquake.

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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.

In this video, we explore some concepts fundamental to algebra. To streamline the discussion of relationships between physical quantities, we introduce variables, functions, composition, and inverse. By thinking about the concept of an inverse function, we obtain our first glimpse of the imaginary root (i.e. square-root of -1) and the complex plane.

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.

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.

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

Algebra II is the second semester of a year-long introduction to modern algebra. The course focuses on group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.
These notes, which were created by students in a recent on-campus 18.702 Algebra II class, are offered here to supplement the materials included in OCW’s version of 18.702. They have not been checked for accuracy by the instructors of that class or by other MIT faculty members.

This lab is generally the first lab for this course. It introduces students to desmos.com and helps them become familiar with it.
The lab investigates the visual changes to a line as the slope and y-intercept change.

Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.Attribution: This work "Algebra and Trigonometry, 2e" by Jay Abramson is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.  

Short Description:
Note: This OpenStax book was imported into Pressbooks on August 7, 2019, to make it easier for instructors to edit, build upon, and remix the content. The OpenStax import process isn't perfect, so there are a number of formatting errors in the book that need attention. As such, we don't recommend you use this book in the classroom. This also means that, while the original version of this book is accessible, this Pressbooks copy is not. For information about how to get your own copy of this book to work on, see the Add Content part in the Pressbooks Guide. You can access the original version of this textbook here: Algebra and Trigonometry: OpenStax.

Long Description:
Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Word Count: 374323

ISBN: 978-1-947172-10-4

(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 course covers the applications of algebra to combinatorics. Topics include enumeration methods, permutations, partitions, partially ordered sets and lattices, Young tableaux, graph theory, matrix tree theorem, electrical networks, convex polytopes, and more.

This textbook is an introductory coverage of algorithms and data structures with application to graphics and geometry.

Analysis I covers fundamentals of mathematical analysis: metric spaces, convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations.

This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds.