The typical introductory real analysis text starts with an analysis of the …
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.
This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context. However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context.
This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.
Technical writing courses introduce you to some of the most important aspects …
Technical writing courses introduce you to some of the most important aspects of writing in the worlds of science, technology, and business—in other words, the kind of writing that scientists, nurses, doctors, computer specialists, government officials, engineers, and other professionals do as a part of their regular work. The skills learned in technical writing courses can be useful in other fields as well, including education and social sciences.
When workers are unemployed, they, their families, and the country as a …
When workers are unemployed, they, their families, and the country as a whole lose. Workers and their families lose wages, and the country loses the goods or services that could have been produced. In addition, the purchasing power of these workers is lost, which can lead to unemployment for yet other workers.
Addressing the issue of unemployment requires information about the extent and nature of the problem. How many people are unemployed? How did they become unemployed? How long have they been unemployed? Are their numbers growing or declining? Are they men or women? Are they young or old? Are they White, or Black, or Asian, or of Hispanic ethnicity? How much education do they have? Are they concentrated in one area of the country more than another? These statistics—together with other economic data—can be used by policymakers to determine whether measures should be taken to influence the future course of the economy or to aid those affected by joblessness.
How to Learn Like a Pro! features the “big six” effective learning/study …
How to Learn Like a Pro! features the “big six” effective learning/study skills topics:
- Learning styles and preferences - Time and materials management - Critical thinking and reading - Note-taking - Memory principles and techniques - Test-taking
Each of the six units featuring a total of twenty-three lessons and accompanying exercises (with a dash of humor here and there) were developed with the diverse student body of the community college in mind as well as learners in other educational venues.
When they’re used well, graphs can help us intuitively grasp complex data. …
When they’re used well, graphs can help us intuitively grasp complex data. But as visual software has enabled more usage of graphs throughout all media, it has also made them easier to use in a careless or dishonest way — and as it turns out, there are plenty of ways graphs can mislead and outright manipulate. Lea Gaslowitz shares some things to look out for.
The goal of this book is to teach you to think like …
The goal of this book is to teach you to think like a computer scientist. I like the way computer scientists think because they combine some of the best features of Mathematics, Engineering, and Natural Science. Like mathematicians, computer scientists use formal languages to denote ideas (specifically computations). Like engineers, they design things, assembling components into systems and evaluating trade offs among alternatives. Like scientists, they observe the behavior of complex systems, form hypotheses, and test predictions.The single most important skill for a computer scientist is problem-solving. By that I mean the ability to formulate problems, think creatively about solutions, and express a solution clearly and accurately. As it turns out, the process of learning to program is an excellent opportunity to practice problem-solving skills. That’s why this chapter is called “The way of the program.”
Python is a fun and extremely easy-to-use programming language that has steadily …
Python is a fun and extremely easy-to-use programming language that has steadily gained in popularity over the last few years. Developed over ten years ago by Guido van Rossum, Python's simple syntax and overall feel is largely derived from ABC, a teaching language that was developed in the 1980's. However, Python was also created to solve real problems and it borrows a wide variety of features from programming languages such as C++, Java, Modula-3, and Scheme. Because of this, one of Python's most remarkable features is its broad appeal to professional software developers, scientists, researchers, artists, and educators. 278 page pdf file.
Stress. It makes your heart pound, your breathing quicken and your forehead …
Stress. It makes your heart pound, your breathing quicken and your forehead sweat. But while stress has been made into a public health enemy, new research suggests that stress may only be bad for you if you believe that to be the case. Psychologist Kelly McGonigal urges us to see stress as a positive, and introduces us to an unsung mechanism for stress reduction: reaching out to others.
How do you remember where you parked your car? How do you …
How do you remember where you parked your car? How do you know if you're moving in the right direction? Neuroscientist Neil Burgess studies the neural mechanisms that map the space around us, and how they link to memory and imagination.
This is a lab manual for a college-level human anatomy course. Mastery …
This is a lab manual for a college-level human anatomy course. Mastery of anatomy requires a fair amount of memorization and recall skills. The activities in this manual encourage students to engage with new vocabulary in many ways, including grouping key terms, matching terms to structures, recalling definitions, and written exercises. Most of the activities in this manual utilize anatomical models, and several dissections of animal tissues and histological examinations are also included. Each unit includes both pre- and post-lab questions and six lab exercises designed for a classroom where students move from station to station. The vocabulary terms used in each unit are listed at the end of the manual and serve as a checklist for practicals.
The overall purpose of this preparatory course textbook is to help students …
The overall purpose of this preparatory course textbook is to help students familiarize with some terms and some basic concepts they will find later in the Human Anatomy and Physiology I course.
The organization and functioning of the human organism generally is discussed in terms of different levels of increasing complexity, from the smallest building blocks to the entire body. This Anatomy and Physiology preparatory course covers the foundations on the chemical level, and a basic introduction to cellular level, organ level, and organ system levels. There is also an introduction to homeostasis at the beginning.
That’s what we are here to find out – Human Behavior and …
That’s what we are here to find out – Human Behavior and the Social Environment (HBSE) – How do they connect? How does it shape us? Why do we think and feel the way we do?
This will be explored throughout this course by examining human behavior throughout life stage developments and our interactions with the social environment. This course will explore theoretical perspectives in Social Work to help provide a foundation for organizing thoughts about client needs and issues they are seeking supports for. Theories will then be connected to important developmental, social, and cultural issues that present throughout each stage of life to create an overall picture of a client’s experience and how we can use this information to have a better understanding of how people we work with are influenced and why. Knowledge of typical development in each stage of life will also inform the Social Worker if any other supports, resources, or services may be needed.
These materials will help students and instructors alike explore human behavior and …
These materials will help students and instructors alike explore human behavior and how it is shaped and impacted by both traditional and non-traditional paradigms. This text will also support the reader in having a deeper understanding of how the environment, in all of its complexity, can affect individuals, families, groups, and communities.
This textbook has been created with several goals in mind: accessibility, customization, …
This textbook has been created with several goals in mind: accessibility, customization, and student engagement—all while encouraging students toward high levels of academic scholarship. Students will find that this textbook offers a strong introduction to human biology in an accessible format.
This open textbook is designed for Human Development, a core Psychology course. …
This open textbook is designed for Human Development, a core Psychology course. This course provides a bird’s eye view of major milestones and developmental tasks during each age period, starting at conception and ending with old age.
This textbook serves as an introduction to nutrition for undergraduate students and …
This textbook serves as an introduction to nutrition for undergraduate students and is the OER textbook for the FSHN 185 The Science of Human Nutrition course at the University of Hawai'i at Mānoa. The book covers basic concepts in human nutrition, key information about essential nutrients, basic nutritional assessment, and nutrition across the lifespan.
Human Relations by Laura Portolese-Dias addresses all of the critical topics to …
Human Relations by Laura Portolese-Dias addresses all of the critical topics to obtain career success as they relate to professional relationships.
Knowing how to get along with others, resolve workplace conflict, manage relationships, communicate well, and make good decisions are all critical skills all students need to succeed in career and in life.
Human Relations is not an organizational behavior; rather, it provides a good baseline of issues students will deal with in their careers on a day-to-day basis. It is also not a professional communications, business English, or professionalism textbook, as its focus is much broader — on general career success and how to effectively maneuver in the workplace.
From communication challenges to focusing on one's own emotional intelligence, the examples throughout Human Relations will help students understand the importance of the human side in their career.
This book's easy-to-understand language and tone is written to convey practical information in an engaging way. Every chapter opens with a realistic example which introduces a concept to be explained in detail later. Each chapter contains relevant examples, YouTube videos, figures, learning objectives, key takeaways, exercises, and a chapter-ending case that offer different ways to promote learning. Many of the end-of-section exercises offer self-assessment quizzes, so students may engage in self-understanding and development.
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