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Video
Mathematics is not about following rules, it's about playing—and exploring, fighting, looking for clues, and sometimes even breaking things, according to Dan Finkel. In this playful, inspiring talk, the founder of Math for Love offers teachers and parents alike a five-step guide to sharing the beauty and playfulness of mathematical thinking with children.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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e-book
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Determinants and eigenvalues are covered along the way. A unique feature of this book is that chapters, sections and theorems are labeled rather than numbered. For example, the chapter on vectors is labeled "Chapter V" and the theorem that elementary matrices are nonsingular is labeled "Theorem EMN." Another feature of this book is that it is designed to integrate SAGE, an open source alternative to mathematics software such as Matlab and Maple. The author includes a 45-minute video tutorial on SAGE and teaching linear algebra. This textbook has been used in classes at: Centre for Excellence in Basic Sciences, Westmont College, University of Ottawa, Plymouth State University, University of Puget Sound, University of Notre Dame, Carleton University, Amherst College, Felician College, Southern Connecticut State University, Michigan Technological University, Mount Saint Mary College, University of Western Australia, Moorpark College, Pacific University, Colorado State University, Smith College, Wilbur Wright College, Central Washington U (Lynwood Center), St. Cloud State University, Miramar College, Loyola Marymount University.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Algebras Linear
- Resource Type:
- e-book
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e-book
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable. It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
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e-book
Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra & Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs.Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned. OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Trigonometry Algebra Textbooks
- Resource Type:
- e-book
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e-book
Veterinary nurses need to have a firm grasp of the normal structure of an animal's body and how it functions before they can understand the effect diseases and injuries have and the best ways to treat them. This book describes the structure of the animal body and the way in which it works. Animals encountered in normal veterinary practice are used as examples where possible.
- Subjects:
- Biology
- Keywords:
- Physiology Textbooks Anatomy
- Resource Type:
- e-book
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e-book
"Published by OpenStax College, Chemistry is designed for the two-semester general chemistry course. For many students, this course provides the foundation to a career in chemistry, while for others, this may be their only college-level science course. As such, this textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The text has been developed to meet the scope and sequence of most general chemistry courses. At the same time, the book includes a number of innovative features designed to enhance student learning. A strength of Chemistry is that instructors can customize the book, adapting it to the approach that works best in their classroom."--BC Campus website.
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Courseware
The focus of this guided inquiry laboratory is to foster critical thinking that allows students to design, perform, and interpret experiments. In addition, the student acquires technical skills that are required for further advancement in experimental sciences. Although an ability to collect and analyze data in a quantitative manner is developed, the emphasis of the course is to provide a qualitative understanding of the basic concepts of chemistry. This is accomplished by demonstrating that chemical principles are derived from experimental data. The goal is to provide students both with a more accurate picture of the scientific process and with skills that are relevant to solving real life problems.
- Subjects:
- Laboratory Techniques and Safety and Chemistry
- Keywords:
- Chemical laboratories Chemical laboratories -- Technique Chemistry
- Resource Type:
- Courseware
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Courseware
CHEM 216 builds on the experimental approach started in CHEM 211. Students participate in planning exactly what they are going to do in the laboratory by being given general goals and directions that have to be adapted to fit the specific project they will be working on. They use microscale equipment, which requires them to develop manual dexterity and care in working in the laboratory. They also evaluate the results of their experiments by checking for identity and purity using various chromatographic and spectroscopic methods.
- Subjects:
- Laboratory Techniques and Safety and Chemistry
- Keywords:
- Chemical laboratories Chemistry Organic Chemical laboratories -- Technique Organic compounds -- Synthesis
- Resource Type:
- Courseware
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e-book
College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs.College Algebraguides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned. OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebra Textbooks
- Resource Type:
- e-book
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e-book
"In this survey text, directed at those not majoring in biology, we dispel the assumption that a little learning is a dangerous thing. We hope that by skimming the surface of a very deep subject, biology, we may inspire you to drink more deeply and make more informed choices relating to your health, the environment, politics, and the greatest subject that are all of us are entwined in, life itself."--BCcampus website.
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Video
In 46 episodes, Phil Plait (aka The Bad Astronomer) teaches you astronomy! This course starts with the astronomical observations we can make with the naked eye and expands out to cover the solar system, stars, galaxies, and the universe itself. The content is loosely based on an introductory university-level curriculum. By the end of this course, you will be able to: * Define the components of the universe, from the planets in the Solar System to dark energy and gamma rays * Understand how astronomers collect and analyze data to study the past and current state of the universe * Explain the difference between asteroids, comets, and meteors * Contextualize observed phenomena within scientific theories about the history and physics of space, such as the Big Bang theory
- Subjects:
- Cosmology and Astronomy
- Keywords:
- Astronomy
- Resource Type:
- Video
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Video
Designer and architect Neri Oxman is leading the search for ways in which digital fabrication technologies can interact with the biological world. Working at the intersection of computational design, additive manufacturing, materials engineering and synthetic biology, her lab is pioneering a new age of symbiosis between microorganisms, our bodies, our products and even our buildings.
- Subjects:
- Biotechnology and Chemical and Bioprocess Technology
- Keywords:
- Biotechnology Biosynthesis -- Industrial applications
- Resource Type:
- Video
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Video
In 1997, Brazilian football player Roberto Carlos set up for a 35 meter free kick with no direct line to the goal. Carlos's shot sent the ball flying wide of the players, but just before going out of bounds it hooked to the left and soared into the net. How did he do it? Erez Garty describes the physics behind one of the most magnificent goals in the history of football.
- Subjects:
- Physics
- Keywords:
- Soccer -- Kicking Physics
- Resource Type:
- Video
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e-book
The word biology means, "the science of life", from the Greek bios, life, and logos, wordor knowledge. Therefore, Biology is the science of Living Things. That is why Biology issometimes known as Life Science.
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Video
Why is there something rather than nothing? Why does so much interesting stuff exist in the universe? Particle physicist Harry Cliff works on the Large Hadron Collider at CERN, and he has some potentially bad news for people who seek answers to these questions. Despite the best efforts of scientists (and the help of the biggest machine on the planet), we may never be able to explain all the weird features of nature. Is this the end of physics? Learn more in this fascinating talk about the latest research into the secret structure of the universe.
- Subjects:
- Physics
- Keywords:
- Particles (Nuclear physics) -- Research
- Resource Type:
- Video
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e-book
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.
- Subjects:
- Biology
- Keywords:
- Human anatomy Textbooks Human physiology
- Resource Type:
- e-book
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e-book
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.
- Subjects:
- Human Biology
- Keywords:
- Human biology Textbooks
- Resource Type:
- e-book
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e-book
This textbook is a comprehensive lab manual for the core curriculum Introductory Geosciences classes with both informational content and laboratory exercises. Topics include basic laws and theories in Geology, the Earth's interior and plate tectonics, water and climate change, igneous rocks and volcanoes, and earthquakes.
- Subjects:
- Environmental Sciences
- Keywords:
- Geology -- Study teaching Laboratory manuals Textbooks
- Resource Type:
- e-book
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Video
This channel contains the complete 8.01x (Physics I: Classical Mechanics), 8.02x (Physics II: Electricity and Magnetism) and 8.03 (Physics III: Vibrations and Waves) lectures as presented by Walter Lewin in the fall of 1999, spring of 2002 and fall of 2004. The 8.01x and 8.02x edX lectures are high resolution (480p) versions of the more commonly seen OCW versions. Some edits were also made by Lewin. 8.03 is the OCW version, also in a 480p resolution. Links to lecture notes, assignments/solutions and exams/solutions are added. Playlists with Help Sessions for 8.01x, 8.02x and 8.03 are also available. They are "mini lectures". The problems discussed in these videos should be apparent after watching the first few minutes. Other playlists show Lewin in various appearances and his Bi-Weekly Physics problems/solutions and several excellent lectures by Feynman and others.
- Subjects:
- Physics and Electrical Engineering
- Keywords:
- Waves Vibration Magnetism Mechanics Electricity Physics
- Resource Type:
- Video
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Courseware
Math 679 is a graduate level mathematics course whose purpose is to prove Mazur's theorem (link is external). Mazur's theorem is a well-known and important result, however it is not often taught in classroom settings. The course is divided into three parts: elliptic curves and abelian varieties, moduli of elliptic curves, and proof of Mazur’s theorem.
- Keywords:
- Abelian varieties Curves Algebraic Curves Elliptic
- Resource Type:
- Courseware