Storms can have devastating impacts on coastal communities. Typically, tropical storms like hurricanes get the most attention, but there are other types of storms that occur at more northern latitudes that can be just as destructive. For example, in January of 2018, Winter Storm Grayson caused more than 300,000 power outages and $1.1 billion in damage, and resulted in 22 confirmed casualties along the eastern seaboard. In this module, students will learn how barometric pressure changes during a storm, analyze the effect of storms on oceanographic variables, classify a storm as a bomb cyclone, and compare a bomb cyclone to a hurricane. Ultimately students will use their quantitative reasoning skills to manipulate and visualize data during storms in the northeastern United States.

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This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics.

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.

Preparation requires lecture and/or reading material on stereonet methods in plotting small circles, and on making stereonet rotations along small circles. In lab, students are given a description of the problem, along with a schematic cross section on the blackboard showing how the dip of the eastern fold limb is not constrained, but how the orientation of cross beds in an unoriented core are the only data available to help constrain the dip of the fold limb. Students are then given a while (~20 minutes) to think about and discuss how a solution can be made. An open class discussion follows, and then I guide the students through the answer. An alternative method is to let the students take a week to think about and solve the problem with little or no help.

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Question In many high-grade metamorphic belts around the world, rocks were buried 20-30 km beneath the surface during deformation and metamorphism. How deep is that relative to the cruising altitude of a typical commercial airplane flying across the country?

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Question
Over the last 70 million years or so, the Hawaiian Hot Spot has been pumping out lava, a total of about 775,000 km3 worth. As the Pacific Plate has moved over the hot spot, the volcanic peaks and plateaus of the Hawaiian-Emperor seamount chain have formed. If all of that lava had erupted in California, how deeply would California be buried in lava?

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Question Suppose that you are building a new house. It will take about 90 kg (198 pounds) of copper to do the electrical wiring. In order to get the copper in the first place, someone needs to mine solid rock that contains copper, extract the copper minerals, throw away the waste rock, and smelt the copper minerals to produce copper metal. Rocks mined for copper typically contain only very small percentages of copper -- about 0.7% in the case of most of the big porphyry copper deposits of the world. How much rock would someone have to mine in order to extract enough copper to wire your new house?

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Question In 1983, an eruption began at Kilauea Volcano in Hawaii that has proved to be the largest and longest-lived eruption since records began in 1823. Lava has poured out of the volcano at an average rate of about 160 million m3 per year. To put those flow rates into perspective, let's suppose that the volcano was erupting directly into your classroom. At these flow rates, how long would it take to fill your classroom with lava?

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Question Let's suppose that you have a shoe box full of water (the box is waterproof, of course). The shoe box weighs about 9 kg (19.8 pounds). Suppose you emptied the box and filled it completely with rock (little or no air space). How much would it weigh? Let's empty the box again and fill it completely with pure gold. How much would the box weigh now?

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This Project has been completed as part of a standard Calculus 3 synchronous online course during Spring 2021 Semester at MassBay Community College, Wellesley Hills, MA. 

This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Lab 1: the students begin by describing on a worksheet their own ideas
of delta formation using concept sketches and written descriptions of
the stages of formation, with only broad guidance from the instructor.
They are also asked to describe the key features of their concept
sketches, and to hypothesize how those features might develop (the
processes). The students have all been exposed to deltas in Physical
Geology, but likely only have rudimentary knowledge of them. Once they
have completed the worksheet, the entire class moves to a lab with a
stream table in it, preset to run a "model delta." The model has both a
web cam and a time-lapse web cam set up over the table to record the
development. The students help start the water flowing and the cameras
recording, then watch as it develops over the next 2-3 days.

Lab 2: In the second lab, we use grain-size analysis of the
stream-table delta as a means of testing some of their ideas from lab
1. The students as a class develop a strategy to sample the
stream-table delta for grain size, using a laser grain-size analyzer.
Each pair of students collect one sample, but are also asked to predict
the changes in grain size distribution for samples elsewhere in the
delta. The particle size analyzer rapidly provides results to the
students near the end of lab.

Lab 3: the final lab is a field trip to a pair of gravel pits that
expose the guts of two natural stranded deltas, including topset and
foreset beds. The students are asked to assess the landforms on a topo
map before arriving, and to describe the deposits at each site we
visit. On the final writeup, the students need to synthesize all the
elements of the three labs, along with input from our readings in the
textbook (Easterbrook) and McPhee's "Control of Nature."Â

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Building Oscillation Seismic Simulation, or BOSS, is an opportunity for learners to explore the phenomenon of resonance for different building heights while performing a scientific experiment that employs mathematical skills. They experience how structures behave dynamically during an earthquake.

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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.

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.

This is an online textbook for a one semester calculus course aimed at business students.
The material covered is fairly standard: differentiation and integration without trigonometry, partial derivatives and optimization of functions of several variables.
There are several characteristics that differentiate the text from other texts:
Excel is used as the main computational engine throughout the text and the needed Excel skills are taught rather than assumed.
Examples, exercises, and vocabulary are tailored to uses in a business curriculum.
There is a modeling thread throughout the text.
Webwork versions of exercises are available on request.

This textbook was written to meet the needs of a twenty-first century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a step-by-step problem-solving approach.

This textbook simplifies and integrates annuity types and variable calculations, utilizes relevant algebraic symbols, and is integrated with the Texas Instruments BAII+ calculator. It also contains structured exercises, annotated and detailed formulas, and relevant personal and professional applications in discussion, guided examples, case studies, and even homework questions.

Short Description:
This book provides an introduction to a variety of topics in business math including simple and compound interest, annuities, payment schedules, mortgages, and more. This supplemental textbook covers topics from Chapters 8 to 13 inclusive, adapted from the original Business Math: A Step-by-Step Handbook by J. Olivier and Lyryx Learning Inc. providing extra resources, examples, and storytelling activities.

Long Description:
This book provides an introduction to a variety of topics in business math including simple and compound interest, annuities, payment schedules, mortgages, and more. This supplemental textbook covers topics from Chapters 8 to 13 inclusive, adapted from the original Business Math: A Step-by-Step Handbook by J. Olivier and Lyryx Learning Inc. providing extra resources, examples, and storytelling activities.

Word Count: 75298

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Instructor Resources

Short Description:
This book serves as a companion to Business Math: A Step-by-Step Handbook Abridged, featuring instructor resources centered on storytelling techniques and case studies that align with the examples in the companion OER.

Long Description:
This book serves as a companion to Business Math: A Step-by-Step Handbook Abridged, featuring instructor resources centered on storytelling techniques and case studies that align with the examples in the companion OER.

Word Count: 5870

Included H5P activities: 54

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Word Count: 82950

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