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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, opeds, and webbased 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

Courseware
This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Number theory Algebraic number theory
 Resource Type:
 Courseware

Courseware
This graduatelevel course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Curves Elliptic
 Resource Type:
 Courseware

Courseware
This course discusses theoretical concepts and analysis of wave problems in science and engineering. Examples are chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications.
 Subjects:
 Mechanical Engineering and Physics
 Keywords:
 Wave mechanics Wavemotion Theory of
 Resource Type:
 Courseware

Courseware
How do populations grow? How do viruses spread? What is the trajectory of a glider? Many reallife problems can be described and solved by mathematical models. In this course, you will form a team with another student and work in a project to solve a reallife problem. You will learn to analyze your chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate your results. You will learn how to implement Euler’s method in a Python program. If needed, you can refine or improve your model, based on your first results. Finally, you will learn how to report your findings in a scientific way. This course is mainly aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it will suit anyone who would like to learn how mathematical modeling can solve realworld problems.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical models
 Resource Type:
 Courseware

Courseware
The focus of this course:  Applications of topology in condensed matter based on bulkedge correspondence.  Special attention to the most active research topics in topological condensed matter: theory of topological insulators and Majorana fermions, topological classification of “grand ten” symmetry classes, and topological quantum computation  Extensions of topology to further areas of condensed matter, such as photonic and mechanical systems, topological quantum walks, topology in fractionalized systems, driven or dissipative systems.
 Keywords:
 Condensed matter Topology
 Resource Type:
 Courseware

Courseware
In this nuclear energy course, we will tackle provocative questions such as: Is nuclear energy a good substitute for fossil fuels to reduce our CO2 emission or not? Can nuclear reactors operate safely without any harm to the public and environment? How much nuclear waste is produced and how long does it need to be stored safely? How can we make nuclear energy clean and more sustainable? How much are nuclear energy costs? You will learn the physics behind nuclear science, how to gain energy from nuclear fission, how nuclear reactors operate safely, and the life cycle of nuclear fuel: from mining to disposal. In the last part of the course, we will focus on what matters most in the public debate: the economic and social impact of nuclear energy but also the future of energy systems. Practically, we will: Teach you about nuclear science and technology (radiation and radioactivity, nuclear reactions, nuclear reactors and fuel cycle, economics of nuclear energy, and the sociality aspects) Show you short videos about the theory and practical implementation of nuclear energy Stimulate discussion and debate about nuclear energy Ask you to formulate your own opinion about nuclear energy and its role in society The GENTLE consortium has sponsored and prepared this course. GENTLE is focused on maintaining the current high level of nuclear safety, and developing a highly skilled and well informed nuclear workforce, following the conclusion of the Council of the EU that it “it is essential to maintain in the European Union a high level of training in the nuclear field” to deal with reactor fleet safely, decommission obsolete plants, be involved in new builds where policy dictates, and deal with the legacy and future radioactive wastes.
 Subjects:
 Physics and Electrical Engineering
 Keywords:
 Nuclear engineering Nuclear physics Nuclear energy
 Resource Type:
 Courseware

Video
A video showing how to read and interpret any ECG, and able to recognize the majority of heart rhythms.
 Subjects:
 Nursing
 Keywords:
 Heart  Diseases  Diagnosis Electrocardiography  Interpretation
 Resource Type:
 Video

Video
What is air pollution? Learn how greenhouse gasses, smog, and toxic pollutants effect climate change, and human health.
 Subjects:
 Environmental Sciences and Environmental Engineering
 Keywords:
 Air  Pollution Greenhouse gases  Environmental aspects Smog
 Resource Type:
 Video

Courseware
Are you an engineer, scientist or technician? Are you dealing with measurements or big data, but are you unsure about how to proceed? This is the course that teaches you how to find the best estimates of the unknown parameters from noisy observations. You will also learn how to assess the quality of your results. TU Delft’s approach to observation theory is world leading and based on decades of experience in research and teaching in geodesy and the wider geosciences. The theory, however, can be applied to all the engineering sciences where measurements are used to estimate unknown parameters. The course introduces a standardized approach for parameter estimation, using a functional model (relating the observations to the unknown parameters) and a stochastic model (describing the quality of the observations). Using the concepts of least squares and best linear unbiased estimation (BLUE), parameters are estimated and analyzed in terms of precision and significance. The course ends with the concept of overall model test, to check the validity of the parameter estimation results using hypothesis testing. Emphasis is given to develop a standardized way to deal with estimation problems. Most of the course effort will be on examples and exercises from different engineering disciplines, especially in the domain of Earth Sciences. This course is aimed towards Engineering and Earth Sciences students at Bachelor’s, Master’s and postgraduate level.
 Keywords:
 Observers (Control theory) Mathematical statistics
 Resource Type:
 Courseware

Courseware
Are you fascinated by Geosciences and willing to take the challenge of predicting the nature and behavior of the Earth subsurface? This is your course! In a voyage through the Earth, Geoscience: the Earth and its Resources will explore the Earth interior and the processes forming mountains and sedimentary basins. You will understand how the sediments are formed, transported, deposited and deformed. You will develop knowledge on the behavior of petroleum and water resources. The course has an innovative approach focusing on key fundamental processes, exploring their nature and quantitative interactions. It will be shown how this acquired knowledge is used to predict the nature and behavior of the Earth subsurface. This is your ideal first step as a future Geoscientists or professional to upgrade your knowledge in the domain of Earth Sciences.
 Subjects:
 Environmental Sciences and Land Surveying and GeoInformatics
 Keywords:
 Plate tectonics Earth sciences Petroleum  Geology Geology Hydrology
 Resource Type:
 Courseware

ebook
Precalculus: An Investigation of Functions is a free, open textbook covering a twoquarter precalculus 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 selfstudy 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:
 ebook

ebook
Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most nonalgebraic, appropriate for a collegelevel topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for inclass, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics Textbooks
 Resource Type:
 ebook

ebook
In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach andmove them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the oddnumbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecturelength sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thoughtprovoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapterbychapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most evennumbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes atCasper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics Textbooks Computer science  Mathematics
 Resource Type:
 ebook

ebook
Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 34 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Calculus Textbooks
 Resource Type:
 ebook

ebook
This text, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course in linear algebra for science and engineering students who have an understanding of basic algebra. All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text. Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides contentspecific formative online assessment, a wide variety of supplements, and inhouse support available 7 days/week for both students and instructors.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Textbooks Algebras Linear
 Resource Type:
 ebook

ebook
Applied Combinatorics is an opensource textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusionexclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics. Applied Combinatorics began its life as a set of course notes we developed when Mitch was a TA for a larger than usual section of Tom's MATH 3012: Applied Combinatorics course at Georgia Tech in Spring Semester 2006. Since then, the material has been greatly expanded and exercises have been added. The text has been in use for most MATH 3012 sections at Georgia Tech for several years now. Since the text has been available online for free, it has also been adopted at a number of other institutions for a wide variety of courses. In August 2016, we made the first release of Applied Combinatorics in HTML format, thanks to a conversion of the book's source from LaTeX to MathBook XML. An inexpensive printondemand version is also available for purchase. Find out all about ways to get the book. Since Fall 2016, Applied Combinatorics has been on the list of approved open textbooks from the American Institute of Mathematics. Applied Combinatorics is open source and licensed under the Creative Commons AttributionShareAlike 4.0 International License (CCBYSA).
 Subjects:
 Mathematics and Statistics
 Keywords:
 Combinatorial analysis Graph theory Textbooks
 Resource Type:
 ebook

ebook
Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses. To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome. Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides contentspecific formative online assessment, a wide variety of supplements, and inhouse support available 7 days/week for both students and instructors.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Calculus Textbooks
 Resource Type:
 ebook

ebook
This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. Approximately onethird of the material used to be covered in high school, but not any more.The present book is based on the courses given by the author at the Pennsylvania State University as an introduction to the foundations of geometry. The lectures were oriented to sophomore and senior university students. These students already had a calculus course. In particular,they are familiar with the real numbers and continuity. It makes it possible to cover the material faster and in a more rigorous way than it could be done in high school.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Geometry Plane Textbooks
 Resource Type:
 ebook

ebook
Elementary Algebra is designed to meet the scope and sequence requirements of a onesemester elementary algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on 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.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Algebra Textbooks
 Resource Type:
 ebook

ebook
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:
 ebook

ebook
Permaculture Design is a method of land planning that can be applied at scales from the home garden to city block to village to farm. It is an ethically based wholesystems design approach that uses concepts, principles, and methods derived from ecosystems, indigenous technologies, and other timetested practices to create sustainable human settlements and institutions. Although rooted in horticulture and agriculture, Permaculture design is interdisciplinary, touching on a wide range of subjects including regional planning, ecology, animal husbandry, appropriate technology, architecture, social justice, and international development. This open text book is derived from the content of the Massive Open Online Course “Intro to Permaculture”. The original course also included interactive mapping and design tools that accompanied this content. The course and book provide a general overview of the Permaculture design system. The book can be downloaded as a print version. However, there are many accompanying videos and content pages that are linked to throughout the text, so it is best viewed online where the links can be accessed.
 Keywords:
 Permaculture Textbooks
 Resource Type:
 ebook

ebook
Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 34 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Calculus Functional analysis Textbooks
 Resource Type:
 ebook

ebook
Intermediate Algebra 2e is designed to meet the scope and sequence requirements of a onesemester intermediate algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses. 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 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.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Algebra Textbooks
 Resource Type:
 ebook

ebook
This brief book provides a noncomprehensive introduction to GNU Octave, a free open source alternative to MatLab. The basic syntax and usage is explained through concrete examples from the mathematics courses a math, computer science, or engineering major encounters in the first two years of college: linear algebra, calculus, and differential equations.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Programming (Mathematics) Textbooks GNU Octave Computer science  Mathematics
 Resource Type:
 ebook

ebook
Microbiology for Allied Health Students is designed to cover the scope and sequence requirements for the single semester Microbiology course for nonmajors and allied health students. The book presents the core concepts of microbiology with a focus on applications for careers in allied health. The pedagogical features of Microbiology for Allied Health Students make the material interesting and accessible to students while maintaining the careerapplication focus and scientific rigor inherent in the subject matter. The scope and sequence of Microbiology for Allied Health Students has been developed and vetted with input from numerous instructors at institutions across the U.S. It is designed to meet the needs of most microbiology courses allied health students. With these objectives in mind, the content of this textbook has been arranged in a logical progression from fundamental to more advanced concepts. The opening chapters present an overview of the discipline, with individual chapters focusing on cellular biology as well as each of the different types of microorganisms and the various means by which we can control and combat microbial growth. The focus turns to microbial pathogenicity, emphasizing how interactions between microbes and the human immune system contribute to human health and disease. The last several chapters of the text provide a survey of medical microbiology, presenting the characteristics of microbial diseases organized by body system.
 Subjects:
 Biology
 Keywords:
 Allied health personnel Microbiology Textbooks
 Resource Type:
 ebook

ebook
Business Mathematics was written to meet the needs of a twentyfirst century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a stepbystep problemsolving approach. This textbook simplifies and integrates annuity types and variable calculations, utilizes relevant algebraic symbols, and is integrated with the Texas Instruments BAII+ calculator. It also contains structured exercises, annotated and detailed formulas, and relevant personal and professional applications in discussion, guided examples, case studies, and even homework questions.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Business mathematics Textbooks
 Resource Type:
 ebook

ebook
This is a first draft of a free (as in speech, not as in beer, [Sta02]) (although it is free as in beer as well) textbook for a onesemester, undergraduate statistics course. It was used for Math 156 at Colorado State University–Pueblo in the spring semester of 2017.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Statistics Textbooks
 Resource Type:
 ebook

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

ebook
Game theory is an excellent topic for a nonmajors quantitative course as it develops mathematical models to understand human behavior in social, political, and economic settings. The variety of applications can appeal to a broad range of students. Additionally, students can learn mathematics through playing games, something many choose to do in their spare time! This text also includes an exploration of the ideas of game theory through the rich context of popular culture. It contains sections on applications of the concepts to popular culture. It suggests films, television shows, and novels with themes from game theory. The questions in each of these sections are intended to serve as essay prompts for writing assignments. Ancillary material are available to verified course instructors by emailing jfirkins@linfield.edu
 Subjects:
 Mathematics and Statistics
 Keywords:
 Textbooks Game theory
 Resource Type:
 ebook

ebook
A Primer for Computational Biology aims to provide life scientists and students the skills necessary for research in a datarich world. The text covers accessing and using remote servers via the commandline, writing programs and pipelines for data analysis, and provides useful vocabulary for interdisciplinary work. The book is broken into three parts: Introduction to Unix/Linux: The commandline is the “natural environment” of scientific computing, and this part covers a wide range of topics, including logging in, working with files and directories, installing programs and writing scripts, and the powerful “pipe” operator for file and data manipulation. Programming in Python: Python is both a premier language for learning and a common choice in scientific software development. This part covers the basic concepts in programming (data types, ifstatements and loops, functions) via examples of DNAsequence analysis. This part also covers more complex subjects in software development such as objects and classes, modules, and APIs. Programming in R: The R language specializes in statistical data analysis, and is also quite useful for visualizing large datasets. This third part covers the basics of R as a programming language (data types, ifstatements, functions, loops and when to use them) as well as techniques for largescale, multitest analyses. Other topics include S3 classes and data visualization with ggplot2.
 Subjects:
 Biology
 Keywords:
 Computational biology Textbooks
 Resource Type:
 ebook

ebook
The pedagogical approach is anchored in formal definitions/proof of security, but in a way that I believe is more accessible than what is "traditional" in crypto. All security definitions are written in a unified and simplified "gamebased" style. For an example of what security definitions look like in this style, see the index of security definitions (which will make more sense after reading chapters 2 & 4).
 Subjects:
 Mathematics and Statistics
 Keywords:
 Textbooks Cryptography
 Resource Type:
 ebook

ebook
In this textbook the focus will be on the bacteria and archaea (traditionally known as the “prokaryotes,”) and the viruses and other acellular agents.
 Subjects:
 Biology
 Keywords:
 Microbiology Textbooks
 Resource Type:
 ebook

ebook
This book describes how Earth's climate is changing, how it has been changing in the recent geological past and how it may change in the future. It covers the physical sciences that build the foundations of our current understanding of global climate change such as radiation, Earth's energy balance, the greenhouse effect and the carbon cycle. Both natural and human causes for climate change are discussed. Impacts of climate change on natural and human systems are summarized. Ethical and economical aspects of humancaused climate change and solutions are presented.
 Subjects:
 Environmental Sciences
 Keywords:
 Climatology Textbooks Climatic changes
 Resource Type:
 ebook

ebook
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:
 ebook

Video
This video introduces the 2D materials; photonics & plasmonics in metallic graphene; semiconducting transition metal dichalcogenides (TMDCs) with large bandgap; and bridging the gap black phosphorus for nanophotonics.
 Course related:
 AP618 Science and Technology of Micro and Nano systems
 Subjects:
 Nanotechnology
 Keywords:
 Nanophotonics Twodimensional materials
 Resource Type:
 Video

Video
Take a look inside the optical bench of an Ocean Optics miniature spectrometer. In spectroscopy, photons encounter many components and undergo a variety of processes before registering as a spectrum. Let's see what happens to these photons once they enter the spectrometer!
 Course related:
 HTI24004 Clinical Laboratory instrumentation
 Subjects:
 Medical Laboratory Science
 Keywords:
 Spectrometer
 Resource Type:
 Video

ebook
"This is a calculusbased book meant for the first semester of a first year survey course taken by engineering and physical science majors. It has a traditional order of topics whereby force is discussed before energy. It is divided into 17 chapters that cover a review of high school physics, scaling and estimation, vectors, velocity, acceleration, forces, circular motion, gravity, conservation of energy, work, conservation of momentum and angular momentum, vibrations, and resonance. A treatment of relativity is interspersed with the Newtonian mechanics, in optional sections"BC Campus website.

ebook
"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 chapterend questions were added in this revision"BC Campus website.
 Subjects:
 Biology
 Keywords:
 Molecular genetics Textbooks
 Resource Type:
 ebook

ebook
"Calculus arose as a tool for solving practical scientific problems through the centuries. However, it is often taught as a technical subject with rules and formulas (and occasionally theorems), devoid of its connection to applications. In this textbook, the applications form an important focal point, with emphasis on life sciences. This places the techniques and concepts into practical context, as well as motivating quantitative approaches to biology taught to undergraduates. While many of the examples have a biological flavour, the level of biology needed to understand those examples is kept at a minimum. The problems are motivated with enough detail to follow the assumptions, but are simplified for the purpose of pedagogy"BC Campus website.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Life sciences Differential calculus Textbooks
 Resource Type:
 ebook

ebook
"Combinatorics provides an introduction to enumeration, graph theory, and design theory. It is aimed at upperlevel undergraduate students and the exercises expect some mathematical sophistication, including a reasonable ability to construct proofs. The text is designed to be used in an undergraduate course, but could be suitable for independent study by a student with some mathematical background and understanding of proofs. It does not assume any background knowledge of combinatorics"BC Campus website.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Combinatorial analysis  Textbooks
 Resource Type:
 ebook

Video
The concepts behind linear regression, fitting a line to data with least squares and Rsquared, are pretty darn simple, so let's get down to it
 Course related:
 BRE366 Analytical Skills and Methods (Quantitative Research Methods)
 Subjects:
 Mathematics and Statistics
 Keywords:
 Regression analysis R (Computer program language)
 Resource Type:
 Video

Video
Jakob Magolan is here to change your perception of organic chemistry. In an accessible talk packed with striking graphics, he teaches us the basics while breaking the stereotype that organic chemistry is something to be afraid of.
 Subjects:
 Chemistry
 Keywords:
 Chemistry Organic
 Resource Type:
 Video

Video
As quantum computing matures, it's going to bring unimaginable increases in computational power along with it  and the systems we use to protect our data (and our democratic processes) will become even more vulnerable. But there's still time to plan against the impending data apocalypse, says encryption expert Vikram Sharma. Learn more about how he's fighting quantum with quantum: designing security devices and programs that use the power of quantum physics to defend against the most sophisticated attacks.
 Subjects:
 Electronic and Information Engineering, Physics, and Computing
 Keywords:
 Quantum computing Data encryption (Computer science)
 Resource Type:
 Video

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

Video
Mohamad Jebara loves mathematics  but he's concerned that too many students grow up thinking that this beautiful, rewarding subject is difficult and boring. His company is experimenting with a bold idea: paying students for completing weekly math homework. He explores the ethics of this model and how it's helping students  and why learning math is crucial in the era of fake news.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Study teaching
 Resource Type:
 Video

Video
During the Cold War, Soviet educators were tasked with raising citizens who could outinnovate and outbuild their American counterparts. One of their primary tools for doing so? Math. Educator Masha Gershman describes how the adaptive, highly social Soviet approach to teaching math can be deployed to prep new generations for an evershifting future.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Study teaching
 Resource Type:
 Video

Video
Irina Kareva translates biology into mathematics and vice versa. She writes mathematical models that describe the dynamics of cancer, with the goal of developing new drugs that target tumors. "The power and beauty of mathematical modeling lies in the fact that it makes you formalize, in a very rigorous way, what we think we know," Kareva says. "It can help guide us to where we should keep looking, and where there may be a dead end." It all comes down to asking the right question and translating it to the right equation, and back.
 Subjects:
 Health Sciences and Mathematics and Statistics
 Keywords:
 Cancer  Mathematical models Cancer cells  Mathematical models
 Resource Type:
 Video

Video
What if we looked at Parkinson's as an neurological electrical problem? Brain researcher Eleftheria Pissadaki and her team study dopamine neurons, the neurons that selectively die during Parkinson's. They discovered that the bigger a neuron is, the more vulnerable it becomes because it simply requires more energy. This new insight is reframing the disease  and by "finding the fuse box for each neuron" and figuring out how much energy it needs, may help us neuroprotect our brain cells.
 Subjects:
 Health Sciences and Mathematics and Statistics
 Keywords:
 Brain  Diseases  Research Brain  Mathematical models
 Resource Type:
 Video