This week we will examine the concept of a function, a fundamental …

This week we will examine the concept of a function, a fundamental concept underlying all of modern mathematics. You’re undoubtedly already familiar with functions in an intuitive sense: a function is something which, given an input, produces an output. But you’ve probably never seen the formal definition of a function as it relates to set theory, which is what we’ll look at this week.

Description: Students play with an AI that can react to their movement, …

Description: Students play with an AI that can react to their movement, and choreograph something that uses this tool. They can show off their choreography to the rest of the class Skills/knowledge you'll gain: Movement, collaboration Length: 1-4 hours

Curriculum aligns to: - NGSS Engineering standards - ISTE standards - Common Core ELA/Literacy standards - Also maps to CSTA standards

Description: AI can create realistic-looking images and videos that were never actually …

Description: AI can create realistic-looking images and videos that were never actually filmed or taken as a photo. These images and videos are called deepfakes. This is a quick lesson requiring no background where students learn about deepfakes, as well as ways to verify information that they see Skills/knowledge you'll gain: Critical thinking Length: 1 hour

Curriculum aligns to: - NGSS Engineering standards - ISTE standards - Common Core ELA/Literacy standards - Also maps to CSTA standards

Description: A quick and fun way to become familiar with some core …

Description: A quick and fun way to become familiar with some core ideas of modern AI while playing with Google Quick, Draw Skills/knowledge you'll gain: Understanding of what AI is, privacy and bias concerns Length: 1 hour

Curriculum aligns to: - NGSS Engineering standards - ISTE standards - Common Core ELA/Literacy standards - Also maps to CSTA standards

Description: Learn how conservationists use AI image recognition to save time identifying …

Description: Learn how conservationists use AI image recognition to save time identifying how and where to protect endangered species. Build your own species-identifying AI system Skills/knowledge you'll gain: Conservation Length: 1-2 hours

Curriculum aligns to: - NGSS Engineering standards - ISTE standards - Common Core ELA/Literacy standards - Also maps to CSTA standards

Upon completing this course students should be able to: Find derivatives and …

Upon completing this course students should be able to:

Find derivatives and integrals of transcendental functions. Apply techniques to evaluate integrals. Use tests to determine series convergence. Determine Taylor series for common functions. Describe curves in parametric form and polar coordinates.

Upon completing this course students should be able to: Find derivatives and …

Upon completing this course students should be able to:

Find derivatives and integrals of transcendental functions. Apply techniques to evaluate integrals. Use tests to determine series convergence. Determine Taylor series for common functions. Describe curves in parametric form and polar coordinates.

APEX Calculus is a calculus textbook written for traditional college/university calculus courses. …

APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

This text was written as a prequel to the APEXCalculus series, a …

This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text. This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size.

This is a quick guide to help students differenciate the terms APR …

This is a quick guide to help students differenciate the terms APR and APY. There are formulas presented to help students calculate APY given certain parameters of investments. The guide also presents formulas to allow students to calculate APY outside of the traditional one year examples.

This book is designed to make "Abstract Algebra" as down-to-earth as possible. …

This book is designed to make "Abstract Algebra" as down-to-earth as possible. Using concrete examples such as the complex numbers, integers mod n, polynomials, symmetries, and permutations. We also introduce some of the beautifully general ideas of the theory of groups, rings, and fields. Along the way, we give applications to signal processing, cryptography and coding theory, as well as making connections with other branches of mathematics such as geometry and number theory.

The textbook is provided in three different formats: hyperlinked online version, pdf, and spiral bound copy (printme1.com is recommended for on-demand printing).

This text is intended for a one- or two-semester undergraduate course in …

This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

Active Calculus is different from most existing calculus texts in at least …

Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. …

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

This text is designed for college students who aspire to take calculus …

This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus. This text is written in the spirit of Active Calculus and is especially ideal for students who will eventually study calculus from that text. The reader will find that the text requires them to engage actively with the material, to view topics from multiple perspectives, and to develop deep conceptual understanding of ideas.

Many courses at the high school and college level with titles such as “college algebra”, “precalculus”, and “trigonometry” serve other disciplines and courses other than calculus. As such, these prerequisite classes frequently contain wide-ranging material that, while mathematically interesting and important, isn't necessary for calculus. Perhaps because of these additional topics, certain ideas that are essential in calculus are under-emphasized or ignored.

To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components …

To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.

This is book one in a six-book series on fundamental mathematics for …

This is book one in a six-book series on fundamental mathematics for adult learners. These books include glossaries, self tests, practice requests, grades records, and unit tests. Ancillary Resources include the Instructor's Manual. Topics in this book include: number and number operations, patterns, functions and relations, real life applications, geometry, and time.

: Fundamental mathematics for adult learners. Book 1 includes a Table of …

: Fundamental mathematics for adult learners. Book 1 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

: Fundamental mathematics for adult learners. Book 2 includes a Table of …

: Fundamental mathematics for adult learners. Book 2 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

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