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Video
Convex Matrix Optimization (MOP) arises in a wide variety of applications. The last three decades have seen dramatic advances in the theory and practice of matrix optimization because of its extremely powerful modeling capability. In particular, semidefinite programming (SP) and its generalizations have been widely used to model problems in applications such as combinatorial and polynomial optimization, covariance matrix estimation, matrix completion and sensor network localization. The first part of the talk will describe the primal-dual interior-point methods (IPMs) implemented in SDPT3 for solving medium scale SP, followed by inexact IPMs (with linear systems solved by iterative solvers) for large scale SDP and discussions on their inherent limitations. The second part will present algorithmic advances for solving large scale SDP based on the proximal-point or augmented Lagrangian framework In particular, we describe the design and implementation of an augmented Lagrangian based method (called SDPNAL+) for solving SDP problems with large number of linear constraints. The last part of the talk will focus on recent advances on using a combination of local search methods and convex lifting to solve low-rank factorization models of SP problems.
Event date: 11/10/2022
Speaker: Prof. Kim-Chuan Toh (National University of Singapore)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex programming Semidefinite programming
- Resource Type:
- Video
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Others
In this learning activity you'll review information on the neural synapse.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Neural transmission
- Resource Type:
- Others
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Video
In this archival footage from BBC TV, celebrated physicist Richard Feynman explains what fire, magnets, rubber bands (and more) are like at the scale of the jiggling atoms they're made of. This accessible, enchanting conversation in physics reveals a teeming nano-world that's just plain fun to imagine.
- Subjects:
- Physics
- Keywords:
- Physics -- Popular works Atoms
- Resource Type:
- Video
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Courseware
Vibrations and waves are everywhere. If you take any system and disturb it from a stable equilibrium, the resultant motion will be waves and vibrations. Think of a guitar string—pluck the string, and it vibrates. The sound waves generated make their way to our ears, and we hear the string’s sound. Our eyes see what’s happening because they receive the electromagnetic waves of the light reflected from the guitar string, so that we can recognize the beautiful sinusoidal waves on the string.
- Subjects:
- Physics
- Keywords:
- Waves Vibration
- Resource Type:
- Courseware
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Others
In this animated activity, learners view the following physics concepts in action: force, friction, horsepower, work, power, inefficiency, resistance, inertia, and energy.
- Subjects:
- Physics
- Keywords:
- Hydraulics Motion
- Resource Type:
- Others
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Courseware
This course will show you how to apply simple physics models to the motion of objects, UCI Physics 7C covers the following topics: force, energy, momentum, rotation, and gravity.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Mathematica and its applications to linear algebra, differential equations, and complex functions. Fourier series and Fourier transforms. Other topics in integral transforms.
- Subjects:
- Physics and Mathematics and Statistics
- Keywords:
- Physics Mathematical physics
- Resource Type:
- Courseware
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Courseware
This is the third and final course of the Physics 3 series. The course focuses primarily on waves but the concepts of force and energy will continue to be important, as well. Specific topics include waves and sound, optics, quantum concepts, atomic and nuclear physics, and relativity.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Second part of the Basic Physics 3 series. This course covers topics such as: fluid mechanics, thermodynamics,electrostatics (including dc circuits), magnetism (including eletromagnetic induction). The course assumes a working knowledge of calculus and trigonometry.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Introduction to basic physics. This course will introduce the conceptual and mathematical framework for kinematics and Newtonian dynamics, and also to teach problem solving techniques that are used in Physics. Other topics include: vectors; motion, force, and energy.
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Courseware
Have you ever wondered if Superman could really fly? What was Spiderman's spidey sense? How did Wonder Woman's invisible jet work? What does it really mean for something to be a scientific "fact"? Explore how science works and what constitutes "good" science through case studies drawn from a wide spectrum of people's experience, for example superheros, movies, and real world issues such as global warming. The case studies will provide the change to act as science critics as the students develop a better appreciation for science and the scientific method.
- Subjects:
- Physics
- Keywords:
- Science Global warming Superheroes Science in popular culture
- Resource Type:
- Courseware
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Courseware
An overview of the scientific quest to discover life elsewhere in the universe. Topics include the origin of life on Earth, Mars, extra-solar planets, interstellar travel, and extra-terrestrial intelligence.
- Subjects:
- Physics and Cosmology and Astronomy
- Keywords:
- Life on other planets
- Resource Type:
- Courseware
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Courseware
Cook's Tour of the universe. Ancient world models. Evidence for universal expansion; the size and age of the universe and how it all began. The long-range future and how to decide the right model. Anthropic principle. Course may be offered online.
- Subjects:
- Physics and Cosmology and Astronomy
- Keywords:
- Cosmology
- Resource Type:
- Courseware
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e-book
Physical Geology is a comprehensive introductory text on the physical aspects of geology, including rocks and minerals, plate tectonics, earthquakes, volcanoes, mass wasting, climate change, planetary geology and much more. It has a strong emphasis on examples from western Canada. It is adapted from "Physical Geology" written by Steven Earle for the BCcampus Open Textbook Program.
- Subjects:
- Environmental Sciences
- Keywords:
- Textbooks Physical geology
- Resource Type:
- e-book
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e-book
Physical Geology is a comprehensive introductory text on the physical aspects of geology, including rocks and minerals, plate tectonics, earthquakes, volcanoes, glaciation, groundwater, streams, coasts, mass wasting, climate change, planetary geology and much more. It has a strong emphasis on examples from western Canada, especially British Columbia, and also includes a chapter devoted to the geological history of western Canada. The book is a collaboration of faculty from Earth Science departments at Universities and Colleges across British Columbia and elsewhere.
- Subjects:
- Environmental Sciences
- Keywords:
- Textbooks Physical geology
- Resource Type:
- e-book
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Others
In this interactive object, learners select the correct description of a child in the five stages of development in the following categories: pattern of growth, vital signs, organ development, vision and hearing, and developmental stage.
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Child development
- Resource Type:
- Others
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Others
Learners review normal conditions that are associated with aging. Changes are highlighted in the cardiovascular, musculoskeletal, respiratory, gastrointestinal, urinary, reproductive, endocrine, nervous, and sensory systems.
- Subjects:
- Health Sciences, Rehabilation Science, and Biology
- Keywords:
- Aging -- Physiological aspects
- Resource Type:
- Others
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e-book
This is a book about Phylogenetic Comparative Methods by Luke J. Harmon.
- Subjects:
- Biology
- Keywords:
- Comparative genomics Phylogeny Textbooks
- Resource Type:
- e-book
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Others
Learners examine how melting, vaporization, and sublimation require energy input while freezing and condensation release energy.
- Subjects:
- Chemistry
- Keywords:
- Thermodynamics Phase transformations (Statistical physics)
- Resource Type:
- Others
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Others
Learners examine phase diagrams that show the phases of solid, liquid, and gas as well as the triple point and critical point.
- Subjects:
- Chemistry
- Keywords:
- Phase diagrams
- Resource Type:
- Others
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Others
This animated object illustrates the events leading to the migration of phagocytes into areas of tissue damage and/or bacterial presence. Learners view bacterial cell phagocytosis, its subsequent enzymatic digestion, and exocytosis.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Phagocytes Chemotaxis
- Resource Type:
- Others
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e-book
Climate is also where we begin the design process in another tool referenced in the Permaculture design system. This is the Scale of Landscape Permanence, originated by P.A.Yeomans, the founder of Keyline™ Design. Yeomans asserts that the order of design is: Climate Landshape Water Supply Roads/Access Trees Structures Subdivision Fences Soil This book is predominantly about climate, and the macro influences of climate and climate change on design. As we get through the topics of climate analogues and climate change forecasting, we will end up moving down this list to see the climate’s influence on specific design choices.
- Subjects:
- Environmental Sciences
- Keywords:
- Permaculture Agricultural ecology Textbooks
- Resource Type:
- e-book
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Video
Learners examine the method used to calculate the mass percent of an element in a compound. Three examples and one problem illustrate the method.
- Subjects:
- Chemistry
- Keywords:
- Chemistry -- Notation Chemical elements
- Resource Type:
- Video
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Courseware
How do we sense hunger? How do we sense pain? What causes growth in our bodies? How are we protected from pathogens? The answer to many of these questions involves small polymers of amino acids known as peptides. Peptides are broadly used as signal molecules for intercellular communication in prokaryotes, plants, fungi, and animals. Peptide signals in animals include vast numbers of peptide hormones, growth factors and neuropeptides. In this course, we will learn about molecular bases of peptide signaling. In addition, peptides potentially can be used as potent broad-spectrum antibiotics and hence might define novel therapeutic agents.
- Subjects:
- Biology
- Keywords:
- Peptides
- Resource Type:
- Courseware
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Others
In this animated object, learners examine the formation of peptide bonds through dehydration synthesis.
- Subjects:
- Chemistry
- Keywords:
- Peptides -- Synthesis Amino acids
- Resource Type:
- Others
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Others
In this animated object, learners examine processes that do not use ATP directly including hydrostatic pressure and facilitated diffusion with carrier proteins.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Biological transport Cell -- Physiology
- Resource Type:
- Others
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Video
This video playlist covers the topic of: 1. PDE 1 | Introduction 2.PDE 2 | Three fundamental examples 3.PDE 3 | Transport equation: derivation 4.PDE 4 | Transport equation: general solution 5. PDE 5 | Method of characteristics 6. PDE 6 | Transport with decay and nonlinear transport 7.PDE 7 | Wave equation: intuition 8.PDE 8 | Wave equation: derivation 9.PDE 9 | Wave equation: general solution 10.PDE 10 | Wave equation: d'Alembert's formula 11.PDE 11 | Wave equation: d'Alembert examples 12.PDE 12 | Wave equation: characteristics 13.PDE 13 | Wave equation: separation of variables 14.FA 1 | Fourier series introduction 15.FA 2 | Computing Fourier series 16.PDE | Heat equation: intuition 17.PDE | Finite differences: introduction
- Course related:
- AMA3723 Further Mathematical Methods for Finance
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations Partial
- Resource Type:
- Video
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Video
香港理工大學高等研究院於2023年4月21日成功舉辦以「綠色化工與分子篩催化」為題的公開講座(混合模式)。講座由中國工程院院士、中國石化上海石油化工研究院院長楊為民教授主講,吸引了來自亞洲、歐洲、北美10多個國家和地區的120多名現場及網上參加者。講座亦在嗶哩嗶哩、微博等多個社交媒體平台進行直播,在線觀看人數超過11,000人次。
講座由理大協理副校長(研究與創新)王鑽開教授以歡迎辭及講者介紹揭開序幕。楊教授介紹了其團隊在綠色化工領域的研究進展,包括基於分子篩催化材料的綠色化工技術開發與實踐,以及新型分子篩催化材料的應用,並分享了他對行業未來趨勢的展望。 隨後的問答環節由應用物理系客座教授曾適之教授主持,一眾參加者與楊教授進行了富有成果的交流。
- Subjects:
- Chemistry
- Keywords:
- Zeolites Catalysis Zeolite catalysts Green chemistry
- Resource Type:
- Video
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Video
Water shortage is one of the biggest challenges that humanity faces. Novel technologies to tackle the challenge of water scarcity are urgently needed. However, all the existing studies are based on bare fibers with diameter in the order of mm. This talk introduces a novel fog collection technology using microfibers fabricated by near-field electrospinning. The collection efficiency reaches a record high level. Systematic investigation reveals that the waterdrops are “visible” to fog droplets in the incoming air flow because of the relatively small size of the microfibers. Thus, the large waterdrops deflect the fog-carrying airflow to the satellite small waterdrops, which effectively intercept the fog droplets.
Event Date: 12/10/2023
Speaker: Prof. TAN Zhongchao (Founding Chair Professor, Vice Provost and Dean of Academic Affairs of the Eastern Institute of Technology in Ningbo, China)
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Environmental Sciences and Mechanical Engineering
- Keywords:
- Fog Hydrology Water harvesting Water-supply
- Resource Type:
- Video
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Video
In the presentation, Prof. Chan shared Singapore’s long-term energy plan and research focus, as well as a few major initiatives on hydrogen application. He then introduced turquoise hydrogen and the catalytic decomposition of methane for hydrogen production, followed by an overview of the research activities on hydrogen and fuel cells at NTU over the last 30 years.
Event Date: 13/6/2023
Speaker: Prof. CHAN Siew Hwa (Nanyang Technological University)
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Electrical Engineering
- Keywords:
- Clean energy Hydrogen as fuel
- Resource Type:
- Video
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Video
The lecture commenced with a warm welcome address by Prof. CHEN Qingyan, Director of PAIR, followed by a brief speaker introduction by Prof. WANG Zuankai, Associate Vice President (Research and Innovation) of PolyU. In his presentation, Prof. Yang highlighted that urgent need for tissue/organ biomanufacturing owing to the shortage of donation for organ transplantation. He pointed out some challenges in the in vitro manufacturing of tissues/organs, particularly in relation to accurate design, precise fabrication, and functional induction, which underscore the imperative need for new methods for tissue/organ manufacturing. Next, Prof. Yang outlined the development roadmap of biomanufacturing and shared specific examples demonstrating the research progress in 3D bioprinting. In concluding his presentation, Prof. Yang shared his insights on the future direction for biomanufacturing, as well as some significant accomplishments by him and his team at Zhejiang University in the field.
A question-and-answer session moderated by Prof. Wang was followed. Both the online and on-site audience had a fruitful discussion with Prof. Yang.
Event date: 2/1/2024
Speaker: Prof. Huayong Yang (Zhejiang University)
Moderator: Prof. Zuankai Wang (Hong Kong Polytechnic University)
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Biomedical Engineering and Biology
- Keywords:
- Biomedical engineering Tissue engineering Regenerative medicine Three-dimensional printing
- Resource Type:
- Video
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Video
The lecture commenced with a welcome speech and speaker introduction by Prof. WANG Zuankai, Associate Vice President (Research and Innovation). In his presentation, Prof. Chen first gave a brief introduction to the United Nations’ 17 Sustainable Development Goals (SDGs) as well as the SDG monitoring practices in Mainland China. He pointed out that the Nation has adopted the high quality sustainable development concept, which emphasises harmonising the social, economic and environmental aspects in national development. Next, he elaborated on a pilot project that he led to measure Deqing County’s progress towards SDGs using geospatial and statistical information. The project was selected by the UN Department of Economic and Social Affairs as one of the first 16 good SDGs’ practices in 2020. After that, Prof. Chen shared that the achievement of sustainable development requires holistic and systematic research to build a digital governance system that can provide the basis for the scientific and orderly development of national territorial space. He also explained how territorial space sustainability studies can help unveil and analyse various patterns, such as the distributions of population, enterprises and public service facilities, and the relationships between them. To conclude, Prof. Chen introduced the national program on the development of the Realistic Geospatial Landscape Model (3dRGLm), which can generate digital description and representation of the real 3D geospatial spaces. This new geographic information system can support the Nation in achieving natural resources management and high quality sustainable development.
A question-and-answer session moderated by Prof. DING Xiaoli, Director of the Research Institute for Land and Space (RILS) and Prof. WENG Qihao, Associate Director of RILS, followed. The online and on-site audience engaged in a productive discussion with Prof. Chen.
Event date: 27/03/2024
Speaker: Prof. Jun CHEN (National Geomatics Center of China)
Hosted by: PolyU Academy for Interdisciplinary Research
- Keywords:
- Sustainable development Geospatial data China Sustainable Development Goals Geographic information systems
- Resource Type:
- Video
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Video
Universities conduct research for three reasons: to educate students, to contribute to society, and to understand the world. While society often holds a view of the scholar as a solitary and singular genius, in reality scholars today participate in a highly collaborative, worldwide search for shared understandings that stand the test of time and the scrutiny of others. The problems in the 21st century often demand effort by teams of researchers with resources at scale: laboratories and equipment, compute resources, and expert staffing. Working with faculty, students, and other stakeholders to identify the greatest opportunities and the resources needed to address them is both a privilege and a challenge for modern academic administrators. In this talk, I will share three examples: fostering collaborative proposal-writing; planning for shared capabilities in experimental facilities, data, and computation; and transforming academic structures.
Event date: 12/4/2023
Speaker: Prof. Kathryn Ann Moler
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Statistics and Research Methods
- Keywords:
- Research Science
- Resource Type:
- Video
-
Video
More than one hundred years ago, Albert Einstein published his Theory of General Relativity (GR). One year later, Karl Schwarzschild solved the GR equations for a non-rotating, spherical mass distribution; if this mass is sufficiently compact, even light cannot escape from within the so-called event horizon, and there is a mass singularity at the center. The theoretical concept of a 'black hole' was born, and was refined in the next decades by work of Penrose, Wheeler, Kerr, Hawking and many others. First indirect evidence for the existence of such black holes in our Universe came from observations of compact X-ray binaries and distant luminous quasars. I will discuss the forty-year journey, which my colleagues and I have been undertaking to study the mass distribution in the Center of our Milky Way from ever more precise, long-term studies of the motions of gas and stars as test particles of the space time. These studies show the existence of a four million solar mass object, which must be a single massive black hole, beyond any reasonable doubt.
Event date: 09/02/2023
Speaker: Prof. Reinhard GENZEL
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Cosmology and Astronomy and Physics
- Keywords:
- Astrophysics Astronomy Deep space -- Milky Way Nobel Prize winners General relativity (Physics) Black holes (Astronomy)
- Resource Type:
- Video
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Others
Learners examine the meaning of oxidation, reduction, and half-reaction, and watch a film showing the deposition of copper metal from the reduction of copper (II) ion by aluminum. A brief quiz completes the activity.
- Subjects:
- Chemistry
- Keywords:
- Reduction (Chemistry) Chemical reactions Oxidation Oxidation-reduction reaction
- Resource Type:
- Others
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Others
Learners examine the periodic table to identify metallic elements that have either fixed or variable oxidation states.
- Subjects:
- Chemistry
- Keywords:
- Reduction (Chemistry) Chemical reactions Oxidation Oxidation-reduction reaction
- Resource Type:
- Others
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Others
Learners assign oxidation numbers to atoms in neutral compounds and in polyatomic ions. Six examples are worked through in detail, and three problems are provided.
- Subjects:
- Chemistry
- Keywords:
- Reduction (Chemistry) Chemical reactions Oxidation Oxidation-reduction reaction
- Resource Type:
- Others
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Video
Learners conduct an experiment to illustrate how a greater number of particles in a "vessel" increases osmotic pressure.
- Subjects:
- Medical Laboratory Science and Biology
- Keywords:
- Cytology Osmoregulation
- Resource Type:
- Video
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e-book
"A free, open-access organic chemistry textbook in which the main focus is on relevance to biology and medicine. This is a PDF version of a wiki project called Chemwiki at the University of California, Davis. There are also supplementary materials, such as PowerPoint slides and a solutions manual available for this textbook at the Chemwiki website"--BCcampus website.
- Subjects:
- Chemistry
- Keywords:
- Chemistry Organic Textbooks
- Resource Type:
- e-book
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e-book
The traditional approach to teaching Organic Chemistry, taken by most of the textbooks that are currently available, is to focus primarily on the reactions of laboratory synthesis, with much less discussion - in the central chapters, at least - of biological molecules and reactions. This is despite the fact that, in many classrooms, a majority of students are majoring in Biology or Health Sciences rather than in Chemistry, and are presumably taking the course in order to learn about the chemistry that takes place in living things. In an effort to address this disconnect, I have developed a textbook for a two-semester, sophomore-level course in Organic Chemistry in which biological chemistry takes center stage. For the most part, the text covers the core concepts of organic structure, structure determination, and reactivity in the standard order. What is different is the context: biological chemistry is fully integrated into the explanation of central principles, and as much as possible the in-chapter and end-of-chapter problems are taken from the biochemical literature. Many laboratory synthesis reactions are also covered, generally in parallel with their biochemical counterparts - but it is intentionally the biological chemistry that comes first.
- Subjects:
- Chemistry
- Keywords:
- Chemistry Organic Textbooks
- Resource Type:
- e-book
-
e-book
The traditional approach to teaching Organic Chemistry, taken by most of the textbooks that are currently available, is to focus primarily on the reactions of laboratory synthesis, with much less discussion - in the central chapters, at least - of biological molecules and reactions. This is despite the fact that, in many classrooms, a majority of students are majoring in Biology or Health Sciences rather than in Chemistry, and are presumably taking the course in order to learn about the chemistry that takes place in living things.In an effort to address this disconnect, I have developed a textbook for a two-semester, sophomore-level course in Organic Chemistry in which biological chemistry takes center stage. For the most part, the text covers the core concepts of organic structure, structure determination, and reactivity in the standard order. What is different is the context: biological chemistry is fully integrated into the explanation of central principles, and as much as possible the in-chapter and end-of-chapter problems are taken from the biochemical literature. Many laboratory synthesis reactions are also covered, generally in parallel with their biochemical counterparts - but it is intentionally the biological chemistry that comes first.
- Subjects:
- Chemistry
- Keywords:
- Chemistry Organic Textbooks
- Resource Type:
- e-book
-
e-book
This resource was created by Lisa Nichols (chemistry faculty at Butte Community College in Northern California) as a result of an academic sabbatical leave in the Fall-2015 to Spring 2016 term. The target audience are undergraduate students in organic chemistry. In this resource you will find theory and procedures on the main organic lab techniques (chromatography, crystallization, extraction, distillation) as well as general concepts on how to set up and heat apparatuses (see the Table of Contents tab for a more complete listing of topics). All procedures are accompanied by step-by-step pictures, and graphics are heavily utilized throughout the resource.
- Subjects:
- Laboratory Techniques and Safety and Chemistry
- Keywords:
- Chemistry Organic Textbooks
- Resource Type:
- e-book
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Courseware
This subject deals primarily with the basic principles to understand the structure and reactivity of organic molecules. Emphasis is on substitution and elimination reactions and chemistry of the carbonyl group. The course also provides an introduction to the chemistry of aromatic compounds.
- Subjects:
- Chemistry
- Keywords:
- Carbonyl compounds Molecular structure Chemistry Organic Aromatic compounds
- Resource Type:
- Courseware
-
e-book
This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long. Each chapter is covered in a week, and in the remaining two weeks I summarize the entire course, answer lots of questions, and prepare the students for the exam. I do not cover the material in the appendices in the lectures. Some of it is basic material that the students have already seen that I include for completeness and other topics are "tasters" for more advanced material that students will encounter in later courses or in their project work. Students are very curious about the notion of chaos, and I have included some material in an appendix on that concept. The focus in that appendix is only to connect it with ideas that have been developed in this course related to ODEs and to prepare them for more advanced courses in dynamical systems and ergodic theory that are available in their third and fourth years.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations Textbooks Differential equations Partial
- Resource Type:
- e-book
-
Courseware
This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. Graduate students are required to complete assignments with stronger analytical content, and an advanced design project.
- Subjects:
- Physics
- Keywords:
- Optics Geometrical optics
- Resource Type:
- Courseware
-
MOOC
Operations management deals with operational planning and control issues, and is needed in all sectors of the society. One of the challenges to operations manager is how to make use of the available resources in the best way for meeting a certain objective. Quantitative approaches are inevitably needed in tackling many of such problems. Operations Research (OR) deals with problem formulation and application of analytical methods to assist in decision-making of operational problems in planning and control. The techniques of OR are useful quantitative tools to assist operations managers, and has a wide applicability in engineering, manufacturing, construction, financial and various service sectors. Operations Research is an applied mathematics subject and is also a course in many engineering and management programmes. This course is designed for both students learning OR and learners who are practitioners in their respective professionals. The mathematical procedures for the OR techniques are introduced in details in the examples provided in the course. This helps learners to master the methodology and the techniques and apply them to achieve their goals through active learning. This course introduces two prominent OR techniques and their extended topics. The Simplex Method for Linear Programming (LP) has been considered one of the top 10 algorithms of the 20th century. LP is an optimization technique for solving problems such as finding the optimal product mix, production plan, and shipment allocation, in order to maximize the profir or minimize the cost. The Critical Path Method (CPM) is a popular technique employed by project managers in scheduling project activities. Some extended topics of CPM are also introduced to deal with certain special situations in project management. In reality, many systems operate under stochastic environment and the operational problems cannot be solved by the known analytical methods. To this end, the simulation approach is introduced in the last chapter of this course. Simulation is a powerful technique for tackling OR problems under such situations.
- Subjects:
- Statistics and Research Methods
- Keywords:
- Operations research
- Resource Type:
- MOOC
-
e-book
"In Australia and internationally much still needs to occur to promote inclusive practices in education and society with many educators not feeling equipped to recognise or appreciate diversity or cater effectively for inclusion. With embedded audio-visual components, this open textbook is designed to enhance the quality of the reader's experience with each chapter posing key understandings underpinning inclusion and diversity. Readers are encouraged to answer questions on culture, special learning needs, varied educational contexts, gender diversity and more. The key expected outcome of this open textbook is to engage readers in making meaning of inclusion and diversity and applying their learning to their own individual contexts."--BCcampus website.
- Subjects:
- Environmental Sciences
- Keywords:
- Early childhood education Multicultural education Australia Inclusive education Educational equalization
- Resource Type:
- e-book
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e-book
OpenIntro Statistics covers a first course in statistics, providing a rigorous introduction to appliedstatistics that is clear, concise, and accessible. This book was written with the undergraduate levelin mind, but it’s also popular in high schools and graduate courses.We hope readers will take away three ideas from this book in addition to forming a foundationof statistical thinking and methods. • Statistics is an applied field with a wide range of practical applications.• You don’t have to be a math guru to learn from real, interesting data.• Data are messy, and statistical tools are imperfect. But, when you understand the strengthsand weaknesses of these tools, you can use them to learn about the world.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics Textbooks
- Resource Type:
- e-book
-
Image
Open Access Biomedical Image Search Engine
- Keywords:
- Diagnostic imaging Medical photography Digital images
- Resource Type:
- Image
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e-book
"The first edition of this textbook, called Open Genetics, was produced in January 2009 as an instructional material for students in Biology 207 at the University of Alberta. Since then, the book has been built upon and redesigned by numerous adapting authors. Open Genetics Lectures (OGL) is an alternative approach to an open source textbook with much of its content being derived from the original Open Genetics textbook. The 13 chapters in OG were cut up and distributed into 41 shorter chapters that parallel the current lecture topics in BIOL 207 (Molecular Genetics and Heredity) at the University of Alberta. More text content, figures, and chapter-end questions were added in this revision"--BC Campus website.
- Subjects:
- Biology
- Keywords:
- Molecular genetics Textbooks
- Resource Type:
- e-book