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Video
Physics doesn't just happen in a fancy lab -- it happens when you push a piece of buttered toast off the table or drop a couple of raisins in a fizzy drink or watch a coffee spill dry. Become a more interesting dinner guest as physicist Helen Czerski presents various concepts in physics you can become familiar with using everyday things found in your kitchen.
- Subjects:
- Physics
- Keywords:
- Physics -- Popular works
- Resource Type:
- Video
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e-book
It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
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Others
Learners examine how vapor pressure is calculated. The vapor pressure of a liquid increases with increasing temperature. If the heat of vaporization and the vapor pressure at one temperature are known, the vapor pressure at a second temperature can be calculated.
- Subjects:
- Chemistry
- Keywords:
- Vapor pressure
- Resource Type:
- Others
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Video
On March 17, 2014, a group of physicists announced a thrilling discovery: the “smoking gun” data for the idea of an inflationary universe, a clue to the Big Bang. For non-physicists, what does it mean? TED asked Allan Adams to briefly explain the results, in this improvised talk illustrated by Randall Munroe of xkcd.
- Subjects:
- Physics and Cosmology and Astronomy
- Keywords:
- Inflationary universe Gravitational waves
- Resource Type:
- Video
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Others
In this animated object, learners examine the major descending tracts of the nervous system. A matching exercise completes the activity.
- Subjects:
- Health Sciences, Rehabilation Sciences, and Biology
- Keywords:
- Pyramidal tract
- Resource Type:
- Others
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Others
Learners combine Boyle's Law and Charles's Law to solve for the pressure, volume, and temperature of a gas sample under two sets of conditions.
- Subjects:
- Chemistry
- Keywords:
- Boyle's law Charles' law Gas laws (Physical chemistry)
- Resource Type:
- Others
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Others
Welcome to the Coding Train with Daniel Shiffman! A community dedicated to learning creative coding with beginner-friendly tutorials and projects on YouTube and more.
- Subjects:
- Computing
- Keywords:
- Coding theory Computer programming
- Resource Type:
- Others
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Video
You stick cookie dough into an oven, and magically, you get a plate of warm, gooey cookies. Except it's not magic; it's science. Stephanie Warren explains via basic chemistry principles how the dough spreads out, at what temperature we can kill salmonella, and why that intoxicating smell wafting from your oven indicates that the cookies are ready for eating.
- Subjects:
- Chemistry and Food Science
- Keywords:
- Food -- Composition Food -- Analysis
- Resource Type:
- Video
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Others
In this animated object, learners examine water molecules moving through a semipermeable membrane.
- Subjects:
- Biology
- Keywords:
- Osmosis Cell membranes
- Resource Type:
- Others
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Video
Explore what passive transport diffusion is and how it moves water through a membrane.
- Subjects:
- Biology
- Keywords:
- Biological transport Cell -- Physiology
- Resource Type:
- Video
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Others
In this animated object, learners view molecules as they collide and move between two different solutions. They also observe what happens when the temperature of the solutions is raised or lowered.
- Subjects:
- Medical Laboratory Science and Biology
- Keywords:
- Cells
- Resource Type:
- Others
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Others
In this animated object, learners examine the different phases of a cell's life.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Cell cycle
- Resource Type:
- Others
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Video
In this lesson, we'll be looking at the cell cycle. This is the lifespan of a eukaryotic somatic cell. A somatic cell is any cell in the body of an organism, except for sex cells such as sperm and egg cells. The cell cycle describes the sequence of cell growth and division. A cell spends most of its life a state called interphase. Interphase has three phases, the G1, S, and G2 phases. Interphase is followed by cell division, which has one phase, the M phase. Together these four phases make up the entire cell cycle. G1 of interphase is sometimes called growth 1 or gap phase 1. In G1, a cell is busy growing and carrying out whatever function it's supposed to do. Note that some cells, such as muscle and nerve cells, exit the cell cycle after G1 because they do not divide again. A cell enters the S phase after it grows to the point where it's no longer able to function well and needs to divide. The S stands for synthesis, which means to make, because a copy of DNA is being made during this phase. Once DNA replication is complete, the cell enters the shortest and the last part of interphase called G2, also known as growth 2 or gap phase 2. Right now, it's enough to know that further preparations for cell division take place in the G2 phase. Now that interphase is over, the cell is ready for cell division, which happens in the M phase. The M phase has two events. The main one is mitosis, which is division of the cell's nucleus, followed by cytokinesis, a division of the cytoplasm. So, at the end of M phase, you have two daughter cells identical to each other and identical to the original cell. Let's review. The cell cycle describes the life cycle of an individual cell. It has four phases, three in interphase and one for cell division. Most cell growth and function happen during G1. The cell enters the S phase when it needs to divide. In this phase the cell replicates its DNA. Replication just means the cell makes a copy of its DNA. In G2, the cell undergoes further preparations for cell division. Finally, we have cell division in the M phase. The M phase consists of mitosis, which is nuclear division, and cytokinesis, or division of the cytoplasm. We'll explore the details of mitosis and cytokinesis separately
- Subjects:
- Biology
- Keywords:
- Cell cycle
- Resource Type:
- Video
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Others
The Biomics is an educational library site for Life Sciences providing a comprehensive knowledge to those students who are deeply involved in CSIR-UGC NET/JRF and other fellowship and PhD exam preparations.
- Course related:
- HTI34014 Molecular Biology in Medicine
- Subjects:
- Medical Laboratory Science and Biology
- Keywords:
- Biotechnology Life sciences
- Resource Type:
- Others
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Video
Margaret Wertheim leads a project to re-create the creatures of the coral reefs using a crochet technique invented by a mathematician -- celebrating the amazements of the reef, and deep-diving into the hyperbolic geometry underlying coral creation.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Crocheting Coral reef ecology
- Resource Type:
- Video
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Video
Scott Rickard set out to engineer the ugliest possible piece of music, devoid of repetition, using a mathematical concept known as the Costas Array. In this surprisingly entertaining talk, he shares the math behind musical beauty ... and its opposite.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Repetition in music Mathematics Composition (Music)
- Resource Type:
- Video
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e-book
The Basics of General, Organic, and Biological Chemistry by David W. Ball, John W. Hill, and Rhonda J. Scott is for the one-semester General, Organic and Biological Chemistry course. The authors designed this textbook from the ground up to meet the needs of a one-semester course. It is 20 chapters in length and approximately 350-400 pages; just the right breadth and depth for instructors to teach and students to grasp. In addition, The Basics of General, Organic, and Biological Chemistry is written not by one chemist, but THREE chemistry professors with specific, complimentary research and teaching areas. David W. Ball's specialty is physical chemistry, John W. Hill's is organic chemistry, and finally, Rhonda J. Scott's background is in enzyme and peptide chemistry. These three authors have the expertise to identify and present only the most important material for students to learn in the GOB Chemistry course. These experienced authors have ensured their text has ample in-text examples, and ”Test Yourself“ questions following the examples so students can immediately check their comprehension. The end-of-chapter exercises will be paired, with one answered in the back of the text so homework can easily be assigned and self-checked. The Basics of General, Organic, and Biological Chemistry by David W. Ball, John W. Hill, and Rhonda J. Scott is the right text for you and your students if you are looking for a GOB textbook with just the right amount of coverage without overdoing the concepts and overwhelming your students.
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Others
In this animated object, learners examine the eight cranial bones, the fourteen facial bones, and the ribs.
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Facial bones Ribs Skull -- Anatomy
- Resource Type:
- Others
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Video
In this screencast, learners examine the bones of the appendicular skeleton.
- Subjects:
- Health Sciences, Rehabilitation Science, and Biology
- Keywords:
- Human skeleton Human anatomy
- Resource Type:
- Video
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Video
We are two sisters on a mission to demystify science with humor and relevance by creating videos, GIFs, comics, and resources. Our content is focused on high school biology (Pinky is a former high school biology teacher), though we do receive comments that some of our content is useful for intro biology courses at the college level as well. We're for anyone wanting to learn biology! We frequently remind viewers that we cannot include all of the fascinating exceptions and details in a video under 10 minutes. We like to create memorable visuals to the content, but they're not scientific illustrations. Meaning, nitrogen and carbon don't tap dance. Our illustrated cell and molecule cartoons are definitely not to scale. DNA is usually a right-handed double helix (well...there are exceptions) and it doesn't have eyes...a face...or a top hat...
- Subjects:
- Health Sciences and Biology
- Keywords:
- Biology
- Resource Type:
- Video
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Video
Inventor, entrepreneur and visionary Ray Kurzweil explains in abundant, grounded detail why, by the 2020s, we will have reverse-engineered the human brain and nanobots will be operating your consciousness.
- Subjects:
- Technology
- Keywords:
- Technological innovations Bioengineering Information Technology
- Resource Type:
- Video
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Others
In this interactive and animated object, learners read a description of the number, name, and function of the cranial nerves. A matching quiz completes the activity.
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Nerves Cranial
- Resource Type:
- Others
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Video
In this wide-ranging, thought-provoking talk, Kevin Kelly muses on what technology means in our lives -- from its impact at the personal level to its place in the cosmos.
- Subjects:
- Technology
- Keywords:
- Technology -- Social aspects Technological innovations -- Social aspects
- Resource Type:
- Video
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Video
In our tech-driven, interconnected world, we've developed new ways and rules to court each other, but the fundamental principles of love have stayed the same, says anthropologist Helen Fisher. Our faster connections, she suggests, are actually leading to slower, more intimate relationships. At 12:20, couples therapist and relationship expert Esther Perel steps in to make an important point -- that while love itself stays the same, technology has affected the way we form and end relationships.
- Subjects:
- Anthropology, Sociology, and Technology
- Keywords:
- Love Courtship Communication technology Interpersonal communication
- Resource Type:
- Video
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Courseware
Companies and governments have to decide upon technological strategies, i.e. which products are to be developed and which processes and infrastructures are required for the future. Several tools to consider technological strategies are dealt with in this course.
- Subjects:
- Technology
- Keywords:
- Sustainable development Technological forecasting Technological innovations -- Forecasting Technological innovations -- Management
- Resource Type:
- Courseware
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e-book
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present. This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching (Secondary)
- Resource Type:
- e-book
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Video
From rockets to stock markets, many of humanity's most thrilling creations are powered by math. So why do kids lose interest in it? Conrad Wolfram says the part of math we teach -- calculation by hand -- isn't just tedious, it's mostly irrelevant to real mathematics and the real world. He presents his radical idea: teaching kids math through computer programming.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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e-book
This textbook was born of a desire to contribute a viable, free, introductory Numerical Analysis textbook for instructors and students of mathematics. The ultimate goal of Tea Time Numerical Analysis is to be a complete, one-semester, single-pdf, downloadable textbook designed for mathematics classes. Now includes differential equations. Over 350 pages Over 1000 lines of code Over 200 figures Open source
- Subjects:
- Mathematics and Statistics
- Keywords:
- Numerical analysis -- Data processing Textbooks
- Resource Type:
- e-book
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e-book
"This book is a polished version of the author's notes for a course entitled Several Complex Variables. It should be suitable for a semester-long topics course or for self-study as an introduction to the subject. The prerequisites are decent knowledge of vector calculus, basic real analysis, and a working knowledge of complex analysis in one variable. It should be accessible to beginning graduate students after a complex analysis course, and perhaps even very advanced undergraduates. This is enough material for a semester-long course, including quite a few exercises sprinkled throughout the text, all of which the reader should at least be attempting. It is not meant as an exhaustive reference, but simply as a whirlwind tour of several complex variables"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Functions of complex variables
- Resource Type:
- e-book
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e-book
Contains freely accessible academic books in Chinese in the area of humanities, social sciences, philosophy, medicine, economy & finance.
- Keywords:
- Science Engineering
- Resource Type:
- e-book
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e-book
Contains freely accessible academic books in Chinese in the area of agriculture.
- Keywords:
- Agriculture
- Resource Type:
- e-book
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Video
This mini-lecture on the topic of "Tailoring The Smallest Machinery into Future Robotic Systems". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Nanotechnology
- Keywords:
- Robotics Robots -- Design construction Nanotechnology
- Resource Type:
- Video
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Video
Students read brief descriptions of atoms, molecules, elements, and compounds, and complete a matching exercise that pictures these particles and molecules as pieces of taffy.
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Video
Synthetic biology can be used in industrial biotechnology to engineer metabolic pathways to create high-value chemicals using model microorganisms such as yeast. During the Synthetic Biology in Action course, participants engineered yeast to produce beta-caretone for industrial biotechnology purposes. In this talk, they describe the steps they took to engineer an existing yeast pathway to produce the new chemical. These steps include modeling the metabolic pathway outputs, DNA design, amplification, and assembly, and analysis of the final result.
- Subjects:
- Electronic and Information Engineering, Biochemistry, and Biology
- Keywords:
- Synthetic biology Biochemistry Yeast fungi -- Biotechnology
- Resource Type:
- Video
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Courseware
Energy storage will be of major importance when more and more energy is produced using fluctuating renewable sources like wind and solar power. This course concerns two energy storage methods: storage in the form of the artificial fuel hydrogen, and storage in the form of batteries. In the transition to a sustainable-energy future, both hydrogen and batteries will likely play increasingly important roles. Hydrogen has the advantage of effectively limitless scale up potential while batteries have the advantage of high energy efficiency. Methods for sustainable and renewable hydrogen production include solar, wind power, direct photo-electrolysis of water, thermal and nuclear methods as well as biological options. The students will learn about such production methods of hydrogen using renewable energy sources, and separation technologies for clean hydrogen. The application of hydrogen requires cheap, safe, lightweight and easy to handle storage of hydrogen. The course presents current options for storage of hydrogen, including light metal hydrides, large adsorption surface, and nanostructured materials, as well as gaseous and liquid hydrogen storage. It will be explained that the ultimate solution still needs to be found. Students will get an overview of most recent advances and bottlenecks, synthesis and characterization techniques. The electrical energy storage in batteries concerns the principles of (rechargeable) batteries, mainly Li-ion, and the relation of the performance with material properties. The relation between properties at the atomic level with the real life battery performance will be displayed. The principles will be explained in terms of basic electrochemistry and thermodynamics. The course will present recent advantage in the field of Li ion batteries. In addition super-capacitors, allowing fast (dis)charge and based on similar principles, are part of the course.
- Subjects:
- Building Services Engineering, Chemistry, and Environmental Engineering
- Keywords:
- Storage batteries Renewable energy sources Hydrogen as fuel Energy storage Hydrogen -- Storage
- Resource Type:
- Courseware
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Others
In this screencast, learners read descriptions of the actions of the superficial skeletal muscles and see their locations.
- Keywords:
- Muscles Musculoskeletal system
- Resource Type:
- Others
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Others
Learners review a graphic summary of the three series of reactions that occur during cellular respiration and the net energy (ATP) yield of that process.
- Subjects:
- Biochemistry and Biology
- Keywords:
- Cell respiration Adenosine triphosphate
- Resource Type:
- Others
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Others
In this interactive lesson, students examine the quantitative relationship between chemicals in a balanced mathematical equation.
- Subjects:
- Chemistry
- Keywords:
- Stoichiometry
- Resource Type:
- Others
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Courseware
The lectures are at a beginning graduate level and assume only basic familiarity with Functional Analysis and Probability Theory. Topics covered include: Random variables in Banach spaces: Gaussian random variables, contraction principles, Kahane-Khintchine inequality, Anderson’s inequality. Stochastic integration in Banach spaces I: γ-Radonifying operators, γ-boundedness, Brownian motion, Wiener stochastic integral. Stochastic evolution equations I: Linear stochastic evolution equations: existence and uniqueness, Hölder regularity. Stochastic integral in Banach spaces II: UMD spaces, decoupling inequalities, Itô stochastic integral. Stochastic evolution equations II: Nonlinear stochastic evolution equations: existence and uniqueness, Hölder regularity.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Stochastic partial differential equations Evolution equations
- Resource Type:
- Courseware
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Courseware
Provides students with the basic tools for analyzing experimental data, properly interpreting statistical reports in the literature, and reasoning under uncertain situations. Topics organized around three key theories: Probability, statistical, and the linear model. Probability theory covers axioms of probability, discrete and continuous probability models, law of large numbers, and the Central Limit Theorem. Statistical theory covers estimation, likelihood theory, Bayesian methods, bootstrap and other Monte Carlo methods, as well as hypothesis testing, confidence intervals, elementary design of experiments principles and goodness-of-fit. The linear model theory covers the simple regression model and the analysis of variance. Places equal emphasis on theory, data analyses, and simulation studies.
- Subjects:
- Mathematics and Statistics and Biology
- Keywords:
- Statistics Cognitive science
- Resource Type:
- Courseware
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Courseware
This course offers an in-depth the theoretical foundations for statistical methods that are useful in many applications. The goal is to understand the role of mathematics in the research and development of efficient statistical methods.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematical statistics
- Resource Type:
- Courseware
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MOOC
This course teaches the R programming language in the context of statistical data and statistical analysis in the life sciences. We will learn the basics of statistical inference in order to understand and compute p-values and confidence intervals, all while analyzing data with R code. We provide R programming examples in a way that will help make the connection between concepts and implementation. Problem sets requiring R programming will be used to test understanding and ability to implement basic data analyses. We will use visualization techniques to explore new data sets and determine the most appropriate approach. We will describe robust statistical techniques as alternatives when data do not fit assumptions required by the standard approaches. By using R scripts to analyze data, you will learn the basics of conducting reproducible research. Given the diversity in educational background of our students we have divided the course materials into seven parts. You can take the entire series or individual courses that interest you. If you are a statistician you should consider skipping the first two or three courses, similarly, if you are biologists you should consider skipping some of the introductory biology lectures. Note that the statistics and programming aspects of the class ramp up in difficulty relatively quickly across the first three courses. We start with simple calculations and descriptive statistics. By the third course will be teaching advanced statistical concepts such as hierarchical models and by the fourth advanced software engineering skills, such as parallel computing and reproducible research concepts.
- Subjects:
- Statistics and Research Methods and Mathematics and Statistics
- Keywords:
- Life sciences -- Statistical methods Mathematical statistics -- Data processing R (Computer program language)
- Resource Type:
- MOOC
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Courseware
Statistics is the science that turns data into information and information into knowledge. This class covers applied statistical methodology from an analysis-of-data viewpoint. Topics covered include frequency distributions; measures of location; mean, median, mode; measures of dispersion; variance; graphic presentation; elementary probability; populations and samples; sampling distributions; one sample univariate inference problems, and two sample problems; categorical data; regression and correlation; and analysis of variance. Use of computers in data analysis is also explored.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics
- Resource Type:
- Courseware
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e-book
This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics 101 college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations and visualizations easier.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematical statistics Textbooks
- Resource Type:
- e-book
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Video
Statistics, Machine Learning and Data Science can sometimes seem like very scary topics, but since each technique is really just a combination of small and simple steps, they are actually quite simple. My goal with StatQuest is to break down the major methodologies into easy to understand pieces. That said, I don't dumb down the material. Instead, I build up your understanding so that you are smarter.
- Course related:
- HTI34016 Introduction to Clinical Research
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Statistics Mathematical analysis Data mining Machine learning
- Resource Type:
- Video
-
Others
Learners observe that the volume of one mole of any gas is 22.4 L at standard temperature and pressure. An illustration shows that only the mass of the molar volume differs with the identity of the gas.
- Subjects:
- Chemistry
- Keywords:
- Gases Molecular volume
- Resource Type:
- Others
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Video
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
- Course related:
- AMA1110 Basic Mathematics I – Calculus and Probability & Statistics and BRE2031 Environmental Science
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential calculus
- Resource Type:
- Video
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e-book
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students' problem-solving and writing skills.Open SUNY Textbooks is an open access textbook publishing initiative established by State University of New York libraries and supported by SUNY Innovative Instruction Technology Grants. This initiative publishes high-quality, cost-effective course resources by engaging faculty as authors and peer-reviewers, and libraries as publishing service and infrastructure. The pilot launched in 2012, providing an editorial framework and service to authors, students and faculty, and establishing a community of practice among libraries. Participating libraries in the 2012- 2013 pilot include SUNY Geneseo, College at Brockport, College of Environmental Science and Forestry, SUNY Fredonia, Upstate Medical University, and University at Buffalo, with support from other SUNY libraries and SUNY Press. More information can be found at http://textbooks.opensuny.org.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks Computer science -- Mathematics
- Resource Type:
- e-book
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Others
Learners view movie clips to determine the solubility of two ionic compounds. They also examine a solubility chart and predict the solubility of compounds.
- Subjects:
- Chemistry
- Keywords:
- Chemical reactions Solubility
- Resource Type:
- Others
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Courseware
In electrical engineering, solid-state materials and the properties play an essential role. A thorough understanding of the physics of metals, insulators and semiconductor materials is essential for designing new electronic devices and circuits. After short introduction of the IC fabrication process, the course starts with the crystallography. This will be followed by the basic principle of the quantum mechanics, the sold-state physics, band-structure and the relation with electrical properties of the solid-state materials. When the material physics has been throughly understood, the physics of the semiconductor device follows quite naturally and can be understood quickly and efficiently.
- Subjects:
- Physics and Electrical Engineering
- Keywords:
- Semiconductors Solid state physics Matter -- Properties
- Resource Type:
- Courseware
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Courseware
This course is intended for students enrolling for BSc with Education and BEd degrees. Solid state physics forms the backborn of physics. The module has four units: Introduction to solid state physics; Crystal defects and mechanical properties ; Thermal and electrical properties; and Band theory & Optical properties.In the first unit/activity i.e. introduction to solid state physics. The student is expected to explain the atomic structure, describe the various atomic bonds such as ionic bonds and covalent bonds. The learning will also require students to distinguish between crystalline and amorphous solids; polycrystalline and amorphous solids and to explain the production and use of X-ray diffraction. In the second unit i.e. crystal defects and mechanical properties, the learning includes, differentiating between the different types of crystal defects: the point defects (vacancy, interstitials, and substitutional) and dislocations (screw and edge). Here, the student learns that point defects are very localised and are of atomic size, while dislocation is a disorder which extend beyond the volume of one or two atoms. The effects of the defects on mechanical, and electrical properties of these defects are also part of the learning that will take place. In unit three the learning outcomes include definitions of heat capacity, and explanations of variation of heat capacity with temperature based on the classical, Einstein and Debye models. The students will be required to use the free electron theory to explain high thermal and electrical conductivities of metals and also be able to derive and apply the Wiedermann-Frantz law. Finally, in activity four, the expected learning should enable the students to use the band theory to explain the differences between conductors, semiconductors and insulators; explain the differences between intrinsic and extrinsic semiconductors in relation to the role of doping. At the end of it all, the students use the concepts of the interaction of electromagnetic waves (light) with materials to explain optical absorption, reflectivity and transmissivity.
- Subjects:
- Physics
- Keywords:
- Solid state physics
- Resource Type:
- Courseware
-
Others
Learners examine the structure and function of skin including the production of melanin.
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Skin -- Physiology
- Resource Type:
- Others
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Video
In this animated and interactive object, learners observe how two, three, or four groups of electrons around the central atom cause the shape of the molecule to be linear, trigonal planar, bent, tetrahedral, or pyramidal. Seven examples and eight interactive questions are provided.
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Video
In this lecture, we consider strategies for adversarial games such as chess. We discuss the minimax algorithm, and how alpha-beta pruning improves its efficiency. We then examine progressive deepening, which ensures that some answer is always available.
- Course related:
- COMP4431 Artificial Intelligence
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Artificial intelligence
- Resource Type:
- Video
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e-journal
In this journal platform, you can find the articles which published under the open license. The journal including the disciplines:
Biomedical & Life Science
Business & Economics
Chemistry & Materials Science
Computer Science & Communication
Earth & Environmental Science
Engineering
Medicine & Healthcare
Physics & Mathematics
Social Science & Humanities
- Subjects:
- Health Sciences, Environmental Sciences, Physics, Economics, Chemistry, Computing, Mathematics and Statistics, and Biology
- Keywords:
- Science Periodicals Industrial management Computer science Physics Mathematics Life sciences Economics Technology Chemistry Social sciences Environmental sciences Engineering Materials science Medicine
- Resource Type:
- e-journal
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Video
Naming science as his chief inspiration, Mathieu Lehanneur shows a selection of his ingenious designs -- an interactive noise-neutralizing ball, an antibiotic course in one layered pill, asthma treatment that reminds kids to take it, a living air filter, a living-room fish farm and more.
- Keywords:
- Creative ability in science Creative ability in technology Inventions
- Resource Type:
- Video
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Courseware
This class addresses the craft of writing about science in and for contemporary society, both its pleasures and its challenges. We will read essays, reportage, op-eds, and web-based articles on a variety of topics concerning science, technology, medicine and nature. Readings by contemporary writers such as Elizabeth Kolbert, Atul Gawande, and Michael Pollan will serve as examples of the craft and sources of ideas for our own writing.
- Subjects:
- English Language
- Keywords:
- Technical writing
- Resource Type:
- Courseware
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Courseware
Like other scientists, medical researchers and clinicians must be capable of presenting their work to an audience of professional peers. Unlike many scientists, however, physicians must routinely translate their sophisticated knowledge into lay terms for their own patients and for the education of the public at large. A surprising number of physicians write for less utilitarian reasons as well, choosing the narrative essay as a means of exploring the non-technical issues that emerge in their clinical practice. Over the course of the semester, we will explore the full range of writings by physicians and other health practitioners.
- Subjects:
- English Language
- Keywords:
- Medical writing
- Resource Type:
- Courseware
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Video
In this screencast we are introduced to the lab equipment used to contain and dispense chemicals.
- Subjects:
- Laboratory Techniques and Safety and Chemistry
- Keywords:
- Chemical laboratories Laboratories
- Resource Type:
- Video
-
Others
Built on the widest range of trusted, high-quality, interdisciplinary research and scholarly literature, ScienceDirect helps uncover answers to the world’s most pressing questions. Whether you’re a teacher, student, librarian or researcher, ScienceDirect will help you build a solid knowledge foundation, stay on top of your field and gain in-depth insights into trending topics as you take your next steps in discovery. Physical Sciences & Engineering publications cover a range of disciplines, from the theoretical to the applied. Health Sciences collections — covering education, reference information and decision support — keep you up-to-date on medical developments to stimulate research and improve patient care. Life Sciences journal articles and book chapters feature original research, insightful analysis, current theory and more. Social Sciences & Humanities journals and books highlight historical context, current developments, theories, applications, trends and more.
- Keywords:
- Science Medical sciences Life sciences Technology Social sciences Physical sciences
- Resource Type:
- Others
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e-journal
Science has been at the center of important scientific discovery since its founding in 1880—with seed money from Thomas Edison. Today, Science continues to publish the very best in research across the sciences, with articles that consistently rank among the most cited in the world. In the last half century alone, Science published: The entire human genome for the first time Never-before seen images of the Martian surface The first studies tying AIDS to human immunodeficiency virus
- Keywords:
- Science Science -- Periodicals
- Resource Type:
- e-journal
-
Video
Every week, SciShow Psych digs into the science of...us! SciShow Psych is all about the human brain and how we humans interact with the world. Hosts Anthony Brown, Brit Garner, and Hank Green explain ground-breaking studies, contextualize psychology throughout history, and help us understand how we understand the world. For more science, check out SciShow and SciShow Space as well. And for young thinkers, visit SciShow Kids!
- Course related:
- ITC4206M Fashion Advertising and Promotion
- Subjects:
- Psychology
- Keywords:
- Psychology
- Resource Type:
- Video
-
e-journal
"SciDoc Publishers" is an Open Access publisher established with a sole motive to disseminate knowledge among the scientific community. The journal including the disciplines:
Aerospace Research
Health Science & Medicine
Behavioral Research & Psychology
Food Science
- Subjects:
- Health Sciences, Environmental Sciences, Medicine, Chemistry, Food Science, Biology, Physics, and Aeronautical and Aviation Engineering
- Keywords:
- Science Periodicals Medicine Technology
- Resource Type:
- e-journal
-
Others
In this animated object, learners examine the mechanisms for gas exchange among the lungs, blood, and tissues.
- Subjects:
- Health Sciences
- Keywords:
- Pulmonary gas exchange Respiratory organs
- Resource Type:
- Others
-
Others
In this animated and interactive object, learners examine ventilation, external and internal respiration, and gas transport.
- Subjects:
- Health Sciences and Human biology
- Keywords:
- Pulmonary gas exchange Respiratory organs
- Resource Type:
- Others
-
e-book
Relativity Lite is designed for courses like my 100-student General Astronomy sequence. Relativity Lite translates the mathematical equations conventional relativity texts rely upon into pictures that are readily understood and contain within them the mathematical essentials. This new book would provide the comprehensive coverage needed to understand, in sufficient depth, these three linked areas of our reality.
- Subjects:
- Physics
- Keywords:
- General relativity (Physics) Special relativity (Physics) Textbooks Astronomy
- Resource Type:
- e-book
-
e-book
"Red Seal Landscape Horticulturist Identify Plants and Plant Requirements is an adaptation of KPU HORT 1155 Introduction to Plant Materials Lecture Notes. It is an editable, open access learning resource with interactive web-based experiences customized for horticulture students studying plant identification. This edition supports student achievement of the Level 1, 2, 3, and 4 learning goals for Red Seal Landscape Horticulturist Line F2"--BCcampus website.
- Subjects:
- Biology
- Keywords:
- Plants -- Identification Horticulture
- Resource Type:
- e-book
-
e-book
Red Seal Landscape Horticulturist Identify Plants and Plant Requirements is an adaptation of KPU HORT 1155 Introduction to Plant Materials Lecture Notes. It is an editable, open access learning resource with interactive web based experiences customized for horticulture students studying plant identification. This first edition supports student achievement of the Level 1 and 2 learning goals for Red Seal Landscape Horticulturist Line F2: Identify plant and plant requirements for a range of plants commonly used in horticulture Employ correct naming and plant identification terminology Identify morphological characteristics, growing requirements, use and availability Use a dichotomous key for plant identification Explain plant hardiness Identify weedy and invasive plants
- Subjects:
- Environmental Sciences
- Keywords:
- Plants -- Identification Horticulture Textbooks
- Resource Type:
- e-book
-
Others
Students identify the parts of a triple beam balance and practice measuring the mass of objects.
- Subjects:
- Chemistry
- Keywords:
- Weights measures Balances (Weighing instruments)
- Resource Type:
- Others
-
Courseware
8.06 is the third course in the three-sequence physics undergraduate Quantum Mechanics curriculum. By the end of this course, you will be able to interpret and analyze a wide range of quantum mechanical systems using both exact analytic techniques and various approximation methods. This course will introduce some of the important model systems studied in contemporary physics, including two-dimensional electron systems, the fine structure of Hydrogen, lasers, and particle scattering.
- Subjects:
- Physics
- Keywords:
- Quantum theory
- Resource Type:
- Courseware
-
Courseware
This is the first course in the undergraduate Quantum Physics sequence. It introduces the basic features of quantum mechanics. It covers the experimental basis of quantum physics, introduces wave mechanics, Schrödinger's equation in a single dimension, and Schrödinger's equation in three dimensions. This presentation of 8.04 by Barton Zwiebach (2016) differs somewhat and complements nicely the presentation of Allan Adams (2013). Adams covers a larger set of ideas; Zwiebach tends to go deeper into a smaller set of ideas, offering a systematic and detailed treatment. Adams begins with the subtleties of superpostion, while Zwiebach discusses the surprises of interaction-free measurements. While both courses overlap over a sizable amount of standard material, Adams discussed applications to condensed matter physics, while Zwiebach focused on scattering and resonances. The different perspectives of the instructors make the problem sets in the two courses rather different.
- Subjects:
- Physics
- Keywords:
- Quantum theory
- Resource Type:
- Courseware
-
Courseware
6.453 Quantum Optical Communication is one of a collection of MIT classes that deals with aspects of an emerging field known as quantum information science. This course covers Quantum Optics, Single-Mode and Two-Mode Quantum Systems, Multi-Mode Quantum Systems, Nonlinear Optics, and Quantum System Theory.
- Subjects:
- Electronic and Information Engineering and Physics
- Keywords:
- Quantum optics Quantum theory Nonlinear optics
- Resource Type:
- Courseware
-
Courseware
Quantum Information Processing aims at harnessing quantum physics to conceive and build devices that could dramatically exceed the capabilities of today’s “classical” computation and communication systems. In this course, we will introduce the basic concepts of this rapidly developing field.
- Subjects:
- Physics
- Keywords:
- Quantum computing Quantum theory -- Data processing
- Resource Type:
- Courseware
-
e-book
This text is intended to support courses that bridge the divide between mathematics typically encountered in U.S. high school curricula and the practical problems that natural resource students might engage with in their disciplinary coursework and professional internships.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Problem solving Applied mathematics Textbooks Numerical analysis
- Resource Type:
- e-book
-
e-book
Quantitative Ecology introduces and discusses the principles of ecology from populations to ecosystems including human populations, disease, exotic organisms, habitat fragmentation, biodiversity and global dynamics. The book also reformulates and unifies ecological equations making them more accessible to the reader and easier to teach.
- Subjects:
- Biology
- Keywords:
- Ecology -- Mathematics Textbooks
- Resource Type:
- e-book
-
e-book
This 125-page course textbook, entitled Quality Assurance & Regulatory Affairs for the Biosciences, was created by Jack O'Grady, M.S., professor at Austin Community College. This textbook accompanies the course BITC 1340: Quality Assurance for the Biosciences.
- Subjects:
- Biology
- Keywords:
- Biotechnology Textbooks
- Resource Type:
- e-book
-
Image
Created by a Working Group at the Centers for Disease Control and Prevention (CDC), the PHIL offers an organized, universal electronic gateway to CDC's pictures. Public health professionals, the media, laboratory scientists, educators, students, and the worldwide public can use this material for reference, teaching, presentation, and public health messages. Most images are for free use.
- Keywords:
- Digital images Public health Medical photography
- Resource Type:
- Image
-
Others
PubMed is a free resource supporting the search and retrieval of biomedical and life sciences literature with the aim of improving health–both globally and personally. The PubMed database contains more than 32 million citations and abstracts of biomedical literature. It does not include full text journal articles; however, links to the full text are often present when available from other sources, such as the publisher's website or PubMed Central (PMC). Available to the public online since 1996, PubMed was developed and is maintained by the National Center for Biotechnology Information (NCBI), at the U.S. National Library of Medicine (NLM), located at the National Institutes of Health (NIH).
- Course related:
- RS3731 Neurological Physiotherapy II
- Subjects:
- Rehabilitation Sciences, Medical Imaging, Biology, Health Sciences, Nursing, and Medicine
- Keywords:
- Dentistry Clinical medicine Biology Nursing Medicine
- Resource Type:
- Others
-
e-book
This textbook provides standard introduction to psychology course content with a specific emphasis on biological aspects of psychology. This includes more content related to neuroscience methods, the brain and the nervous system. This book can be modified: feel free to add or remove modules to better suit your specific needs. Please note that the publisher requires you to login to access and download the PDF.
- Subjects:
- Psychology and Biology
- Keywords:
- Psychophysiology Textbooks
- Resource Type:
- e-book
-
Others
In this learning activity you'll review how every protein molecule of an organism is synthesized by that organism in a prescribed process. This activity helps students understand the fundamental life process of making protein.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Protein -- Synthesis
- Resource Type:
- Others
-
e-book
This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
-
Video
Learners examine the meaning of theoretical yield, actual yield, and percent yield. They test their knowledge by solving two problems.
- Subjects:
- Chemistry
- Keywords:
- Chemical reactions
- Resource Type:
- Video
-
e-book
You are probably asking yourself the question, "When and where will I use statistics?". If you read any newspaper or watch television, or use the Internet, you will see statistical information. There are statistics about crime, sports, education, politics, and real estate. Typically, when you read a newspaper article or watch a news program on television, you are given sample information. With this information, you may make a decision about the correctness of a statement, claim, or "fact." Statistical methods can help you make the "best educated guess."
- Subjects:
- Management and Mathematics and Statistics
- Keywords:
- Industrial management -- Statistical methods Commercial statistics Textbooks
- Resource Type:
- e-book
-
Others
Students examine standard pressure in this interactive object.
- Subjects:
- Chemistry
- Keywords:
- Boyle's law Gas laws (Physical chemistry)
- Resource Type:
- Others
-
Others
In this interactive and animated object, learners use solubility rules to predict when an insoluble ionic compound will precipitate in a double replacement reaction. Step-by-step examples are given.
- Subjects:
- Chemistry
- Keywords:
- Chemical reactions Solution (Chemistry)
- Resource Type:
- Others
-
e-book
Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. In addition to the paper homework sets, algorithmetically generated online homework is available as part of a complete course shell package, which also includes a sample syllabus, teacher notes with lecture examples, sample quizzes and exams, printable classwork sheets and handouts, and chapter review problems. If you teach in Washington State, you can find the course shell in the WAMAP.org template course list. For those located elsewhere, you can access the course shell at MyOpenMath.com. A self-study version of the online course exercises is also available on MyOpenMath.com for students wanting to learn the material on their own, or who need a refresher.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Trigonometry Algebra Textbooks
- Resource Type:
- e-book
-
e-book
A casual glance through the Table of Contents of most of the major publishers' College Algebra books reveals nearly isomorphic content in both order and depth. Our Table of Contents shows a different approach, one that might be labeled “Functions First.” To truly use The Rule of Four, that is, in order to discuss each new concept algebraically, graphically, numerically and verbally, it seems completely obvious to us that one would need to introduce functions first. (Take a moment and compare our ordering to the classic “equations first, then the Cartesian Plane and THEN functions” approach seen in most of the major players.) We then introduce a class of functions and discuss the equations, inequalities (with a heavy emphasis on sign diagrams) and applications which involve functions in that class. The material is presented at a level that definitely prepares a student for Calculus while giving them relevant Mathematics which can be used in other classes as well. Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. The answers to nearly all of the computational homework exercises are given in thetext and we have gone to great lengths to write some very thought provoking discussion questions whose answers are not given. One will notice that our exercise sets are much shorter than the traditional sets of nearly 100 “drill and kill” questions which build skill devoid of understanding. Our experience has been that students can do about 15-20 homework exercises a night so we very carefully chose smaller sets of questions which cover all of the necessary skills and get the students thinking more deeply about the Mathematics involved.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Trigonometry Algebra Textbooks
- Resource Type:
- e-book
-
e-book
Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing College Algebra and Algebra and Trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses. 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
-
e-book
These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems. This course in precalculus has the overarching theme of “functions.” This means that many of the often more algebraic topics studied in the previous courses are revisited under this new function theoretic point of view. However, in order to keep this text as self contained as possible we always recall all results that are necessary to follow the core of the course even if we assume that the student has familiarity with the formula or topic at hand. After a first introduction to the abstract notion of a function, we study polynomials, rational functions, exponential functions, logarithmic functions, and trigonometric functions with the function viewpoint. Throughout, we will always place particular importance to the corresponding graph of the discussed function which will be analyzed with the help of the TI-84 calculator as mentioned above. These are in fact the topics of the first four (of the five) parts of this precalculus course. In the fifth and last part of the book, we deviate from the above theme and collect more algebraically oriented topics that will be needed in calculus or other advanced mathematics courses or even other science courses. This part includes a discussion of the algebra of complex numbers (in particular complex numbers in polar form), the 2-dimensional real vector space R 2 sequences and series with focus on the arithmetic and geometric series (which are again examples of functions, though this is not emphasized), and finally the generalized binomial theorem.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Trigonometry Algebra Textbooks
- Resource Type:
- e-book
-
e-book
Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind: A review of the essential mathematics needed to succeed in calculus. An emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical tools. This text was created to achieve these goals and the 2004-05 academic year marks the eleventh year in which it has been used. Several thousand students have successfully passed through the course. This book is full of worked out examples. We use the the notation “Soluion.” to indicate where the reasoning for a problem begins; the symbol ?? is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you find a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the final examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with ”answers” to most of the problems in the text. It should be emphasized these are ”answers” as opposed to ”solutions”. Any homework problems you may be asked to turn in will require you include all your work; in other words, a detailed solution. Simply writing down the answer from the back of the text would never be sufficient; the answers are intended to be a guide to help insure you are on the right track.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Textbooks
- Resource Type:
- e-book
-
e-book
"Precalculus (was College Algebra) is an introductory text. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended). Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. Note: this book was updated on the BC Open textbook Project site on February, 17, 2015 to include the version of the textbook with chapters on Trigonometry."--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Textbooks
- Resource Type:
- e-book
-
e-book
Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra or basic math course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. The second edition contains detailed updates and accuracy revisions to address comments and suggestions from users. Dozens of faculty experts worked through the text, exercises and problems, graphics, and and solutions to identify areas needing improvement. Though the authors made significant changes and enhancements, exercise and problem numbers remain nearly the same in order to ensure a smooth transition for faculty. The first edition of Prealgebra by OpenStax is available in web view in the ancillaries.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Arithmetic Algebra Textbooks
- Resource Type:
- e-book
-
e-book
"The author designed this book for students and professionals who want to understand and apply basic meteorological concepts, but who don't need to derive equations. To make this book accessible to more people, the author converted the equations into algebra. With algebraic approximations to the atmosphere, you can see the physical meaning of each term and you can plug in numbers to get usable answers. No previous knowledge of meteorology is needed - the book starts from the basics. Your background should include algebra, trig, and classical physics. This book could serve the fields of Atmospheric Science, Meteorology, Environmental Science, Engineering, Air Quality, Climatology, and Geography. Readers like you asked to see solved examples, to enhance your understanding and speed your ability to apply the concepts to your own situations. To fill this need, the author added "Sample Application" boxes for almost every equation in the book. This book is designed to be both a textbook and a reference. As a textbook, the end of each chapter includes extensive homework exercises in categories inspired by Bloom's taxonomy of learning actions: "Broaden Knowledge & Comprehension"
- Subjects:
- Geography and Environmental Sciences
- Keywords:
- Meteorology Meteorology -- Mathematical models Textbooks
- Resource Type:
- e-book
-
Video
We investigate reversal and recirculation for the stationary Prandtl equations. Reversal describes the solution after the Goldstein singularity, and is characterized by regions in which u > O and u < 0. The classical point of view of regarding the Prandtl equations as an evolution equation in x completely breaks down since u changes sign. Instead, we view the problem as a quasilinear, mixed-type, free-boundary problem. This is a joint work with Sameer Iyer.
Event date: 14/3/2023
Speaker: Prof. Nader Masmoudi (New York University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Fluid dynamics -- Mathematical models
- Resource Type:
- Video
-
Video
In the context of hyperbolic systems of balance laws with dissipative source manifesting relaxation, recent pr"Ogress will be reported in the program of passing to the limit, in 1he BV setting, as the relaxation lime tends to zero.
Event date: 16/2/2023
Speaker: Prof. Constantine Dafermos (Brown University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Equilibrium -- Mathematical models Relaxation Differential equations Hyperbolic
- Resource Type:
- Video
-
Video
In this lecture I consider the fundamental, challenging and largely unsolved problem of deriving rigorously the most popular kinetic equations, starting from the laws governing the dynamics of microscopic systems. I plan to present classical and recent results, discussing also some present perspectives.
Event date: 30/3/2023
Speaker: Prof. Mario Pulvirenti (University of Roma La Sapienza)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematical models Kinetic theory of gases -- Mathematical models
- Resource Type:
- Video
-
Video
Models arising in biology are often written in terms of Ordinary Differential Equations. The celebrated paper of Kermack-McKendrick (19271, founding mathematical epidemiology, showed the necessity to include parameters in order to describe the state of the individuals, as time elapsed after infection. During the 70s, many mathematical studies were developed when equations are structured by age, size, more generally a physiological trait. The renewal, growth-fragmentation are the more standard equations. The talk will present structured equations, show that a universal generalized relative entropy structure is available in the linear case, which imposes relaxation to a steady state under non-degeneracy conditions. In the nonlinear cases, it might be that periodic solutions occur, which can be interpreted in biological terms, e.g., as network activity in the neuroscience. When the equations are conservation laws, a variant of the Monge-Kantorovich distance (called Fortet-Mourier distance) also gives a general non-expansion property of solutions.
Event date: 19/1/2023
Speaker: Prof. Benoît Perthame (Sorbonne University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Biology and Mathematics and Statistics
- Keywords:
- Biomathematics Equations
- Resource Type:
- Video
-
Video
Before the advent of computers around 1950, optimization centered either on small-dimensional problems solved by looking at zeroes of first derivatives and signs of second derivatives, or on infinite-dimensional problems about curves and surfaces. In both cases, "variations" were employed to understand how a local solution might be characterized. Computers changed the picture by opening the possibility of solving large-scale problems involving inequalities, instead of only equations. Inequalities had to be recognized as important because the decisions to be optimized were constrained by the need to respect many upper or lower bounds on their feasibility. A new kind of mathematical analysis, beyond traditional calculus, had to be developed to address these needs. It built first on appealing to the convexity of sets and functions, but went on to amazingly broad and successful concepts of variational geometry, subgradients, subderivatives, and variational convergence beyond just that. This talk will explain these revolutionary developments and why there were essential.
Event date: 1/11/2022
Speaker: Prof. Terry Rockafellar (University of Washington)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex functions Convex sets Mathematical optimization Computer science -- Mathematics
- Resource Type:
- Video
-
Video
Adaptive computation is of great importance in numerical simulations. The ideas for adaptive computations can be dated back to adaptive finite element methods in 1970s. In this talk, we shall first review some recent development for adaptive methods with some application. Then, we will propose a deep adaptive sampling method for solving PDEs where deep neural networks are utilized to approximate the solutions. In particular, we propose the failure informed PINNs (FI-PINNs), which can adaptively refine the training set with the goal of reducing the failure probability. Compared with the neural network approximation obtained with uniformly distributed collocation points, the proposed algorithms can significantly improve the accuracy, especially for low regularity and high-dimensional problems.
Event date: 18/10/2022
Speaker: Prof. Tao Tang (Beijing Normal University-Hong Kong Baptist University United International College)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Sampling (Statistics) Differential equations Partial -- Numerical solutions Mathematical models Adaptive computing systems
- Resource Type:
- Video
-
Video
We introduce a Dimension-Reduced Second-Order Method (DRSOM) for convex and nonconvex (unconstrained) optimization. Under a trust-region-like framework, our method preserves the convergence of the second-order method while using only Hessian-vector products in two directions. Moreover; the computational overhead remains comparable to the first-order such as the gradient descent method. We show that the method has a local super-linear convergence and a global convergence rate of 0(∈-3/2) to satisfy the first-order and second-order conditions under a commonly used approximated Hessian assumption. We further show that this assumption can be removed if we perform one step of the Krylov subspace method at the end of the algorithm, which makes DRSOM the first first-order-type algorithm to achieve this complexity bound. The applicability and performance of DRSOM are exhibited by various computational experiments in logistic regression, L2-Lp minimization, sensor network localization, neural network training, and policy optimization in reinforcement learning. For neural networks, our preliminary implementation seems to gain computational advantages in terms of training accuracy and iteration complexity over state-of-the-art first-order methods including SGD and ADAM. For policy optimization, our experiments show that DRSOM compares favorably with popular policy gradient methods in terms of the effectiveness and robustness.
Event date: 19/09/2022
Speaker: Prof. Yinyu Ye (Stanford University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex programming Nonconvex programming Mathematical optimization
- Resource Type:
- Video