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e-book
Writing for Success is a text that provides instruction in steps, builds writing, reading, and critical thinking, and combines comprehensive grammar review with an introduction to paragraph writing and composition. Beginning with the sentence and its essential elements, this book addresses each concept with clear, concise and effective examples that are immediately reinforced with exercises and opportunities to demonstrate, and reinforce, learning. Each chapter allows your students to demonstrate mastery of the principles of quality writing. With its incremental approach, it can address a range of writing levels and abilities, helping each student in your course prepare for their next writing or university course. Constant reinforcement is provided through examples and exercises, and the text involves students in the learning process through reading, problem-solving, practicing, listening, and experiencing the writing process. Each chapter also has integrated examples that unify the discussion and form a common, easy-to-understand basis for discussion and exploration. This will put your students at ease, and allow for greater absorption of the material. Tips for effective writing are included in every chapter, as well. Thought-provoking scenarios provide challenges and opportunities for collaboration and interaction. These exercises are especially helpful if you incorporate group work in your course. Clear exercises teach sentence and paragraph writing skills that lead to common English composition and research essays. Features: Exercises are integrated in each segment. Each concept is immediately reinforced as soon as it is introduced to keep students on track. Exercises are designed to facilitate interaction and collaboration. This allows for peer-peer engagement, development of interpersonal skills, and promotion of critical thinking skills. Exercises that involve self-editing and collaborative writing are featured. This feature develops and promotes student interest in the areas and content. There are clear internal summaries and effective displays of information. This contributes to ease of access to information and increases the ability of your students to locate desired content. Rule explanations are simplified with clear, relevant, and theme-based examples. This feature provides context that will facilitate learning and increase knowledge retention. There is an obvious structure to the chapter and segment level. This allows for easy adaptation to your existing and changing course needs or assessment outcomes.
- Subjects:
- English Language
- Keywords:
- Report writing Textbooks English language -- Rhetoric
- Resource Type:
- e-book
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Video
Explore the technique known as the Socratic Method, which uses questions to examine a person’s values, principles, and beliefs.
- Keywords:
- Critical thinking Socrates Questioning
- Resource Type:
- Video
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Others
Learners examine strategies for evaluating new ideas and accepting change. They consider a list of various reactions to change and a list of actions that enhance teamwork, and check those statements that apply to themselves.
- Keywords:
- Creative thinking Problem solving Critical thinking
- Resource Type:
- Others
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e-book
Think Raku is an introduction to computer science and programming intended for people with little or no experience. This aim of this book is not primarily to teach Raku, but instead to teach the art of programming, using the Raku language. After having completed this book, you should hopefully be able to write programs to solve relatively difficult problems in Raku, but my main aim is to teach computer science, software programming, and problem solving rather than solely to teach the Raku language itself. Think Raku is a free book available under a Creative Commons license. Readers are free to copy and distribute the text; they are also free to modify it, which allows them to adapt the book to different needs, and to help develop new material.
- Subjects:
- Computing
- Keywords:
- Computer programming Programming languages (Electronic computers) Textbooks
- Resource Type:
- e-book
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e-book
Think Java is a hands-on introduction to computer science and programming used by many universities and high schools around the world. Its conciseness, emphasis on vocabulary, and informal tone make it particularly appealing for readers with little or no experience. The book starts with the most basic programming concepts and gradually works its way to advanced object-oriented techniques. In this fully updated and expanded edition, authors Allen Downey and Chris Mayfield introduce programming as a means for solving interesting problems. Each chapter presents material for one week of a college course and includes exercises to help you practice what you’ve learned. Along the way, you’ll see nearly every topic required for the AP Computer Science A exam and Java SE Programmer I certification.
- Subjects:
- Computing
- Keywords:
- Java (Computer program language) Computer programming Programming languages (Electronic computers) Textbooks
- Resource Type:
- e-book
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Video
Imagine you were asked to invent something new. It could be whatever you want, made from anything you choose, in any shape or size. That kind of creative freedom sounds so liberating, doesn’t it? Or ... does it? if you're like most people you’d probably be paralyzed by this task. Why? Brandon Rodriguez explains how creative constraints actually help drive discovery and innovation.
- Keywords:
- Creative ability Inventions Problem solving
- Resource Type:
- Video
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Video
Often people make decisions that are not "rational" from a purely economical point of view — meaning that they don't necessarily lead to the best result. Why is that? Are we just bad at dealing with numbers and odds? Or is there a psychological mechanism behind it? Sara Garofalo explains heuristics, problem-solving approaches based on previous experience and intuition rather than analysis.
- Subjects:
- Psychology
- Keywords:
- Decision making
- Resource Type:
- Video
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Presentation
This video was recorded at MIT World Series: Back to the Classroom 2009. Cooperation may be making us "a little bit too nice" when it comes to innovation, suggests Fiona Murray. She believes there's nothing like competition for injecting energy into the process of solving key innovation problems, whether in business or society. Murray is convinced competition make ventures "more effective, more global, more inclusive and more democratic," all important dimensions for business in a flattening world. She describes the rapidly expanding R&D expenditures of India and China, including the vast numbers of Ph.D.s these nations are producing in science and engineering. The corporate sector has found building global R&D organizations and collaborations difficult. In this challenging environment, where the advantage goes to those firms snagging the best scientists, Murray believes "prizes are complementary mechanisms" for attracting global talent. Just like historic rivalries among great artists (Nb., Titian, Tintoretto, Veronese), or the race to discover the structure of DNA, "fierce competition" can yield "dramatic productivity" and innovation, especially when the right rewards are at stake. Murray cites the 18th century competition to invent a mechanism for determining a ship's longitude, which offered a 20 thousand-pound prize. She jumps to the present, with the X Prize Foundation and its various competitions to solve engineering challenges and societal problems, such as the three-person reusable spaceship, and a 100-mpg car -- each with a $10 million prize purse. But it's not just the money. Recent studies show that prizes prove alluring when they focus efforts and resources on a problem that people are already studying, offering fame and "putting fun back into innovation." The fascination skews rational calculations, with competitors often spending well beyond the amount offered to the winner. Corporations should adopt the prize mechanism, believes Murray, to help generate new ideas (such as new applications for Google's phone); or to help solve very specific problems. Campus competitions are up markedly, she notes, which might be a distraction for students at places like MIT. Start small and inside the organization first, creating a shared bulletin board and offering small prizes, she advises, which will "generate energy." Then take competition beyond the company. And don't forget, "the work must be fun" in order to "get a richer set of people to participate.
- Subjects:
- Management
- Keywords:
- Competition
- Resource Type:
- Presentation
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Others
Students read how the Plan-Do-Check-Act Cycle is used in problem-solving and process improvement. In an interactive exercise, students organize process improvement steps following this model.
- Subjects:
- Management
- Keywords:
- Process control Industrial management
- Resource Type:
- Others
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Others
In this interactive object, learners determine the limiting reagent and the excess reagent in chemical reactions. Learners test their knowledge by solving three problems.
- Subjects:
- Chemistry
- Keywords:
- Chemical processes Chemical reactions
- Resource Type:
- Others
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Others
The learner will explore the techniques used to identify cause-and-effect relationships of a particular problem.
- Subjects:
- Management
- Keywords:
- Root cause analysis Problem solving
- Resource Type:
- Others
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Video
Design Thinking is a 5-step process to come up with meaningful ideas that solve real problems for a particular group of people. The process is taught in top design and business schools around the world. It has brought many businesses lots of happy customers and helped entrepreneurs from all around the world, to solve problems with innovative new solutions
- Keywords:
- Creative thinking Thought thinking Problem solving Creative ability
- Resource Type:
- Video
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Video
EDC presents a series of showcases that share project deliverables and innovations in TEL, promoting sustainable and impactful practices that resonate across PolyU and beyond. Showcase One proudly presents two departmental interventions funded by PolyU’s Quality Incentive Scheme Stage 1, which promotes eLearning, Teaching and Assessment (eLTA) by grooming and rewarding outstanding performance:
APSS on the Move: Incubation of L&T Strategies before, during and beyond the Pandemic Era.
AAE: Using an online platform, Github, to shape and build the students' problem-solving and learning-to-learn abilities through a flip-class project teaching approach.
Event Date: 13/10/2022
Presenter(s): Chui, Eric; Chu, Rodney; Hsu, Li Ta
Facilitator: Harbutt, Darren
- Subjects:
- Lesson Design, Student Engagement, and Good Practices
- Keywords:
- Internet in education Educational technology Web-based instruction
- Resource Type:
- Video
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e-book
Welcome to the exciting world of technical theatre. Studying this topic can lead to many different careers in several different sectors of the economy. The general skills needed for any of the careers or sectors have many things in common. Workers need to be dead-line oriented, as most productions have firm timelines that cannot be altered. Critical thinking and analysis are much needed skills. Almost every project in the field is unique and technicians and designers alike must discover the best way of reaching a project’s goal. Creative problem solving is trait successful practitioners have in common. With every project being unique, there are no guaranteed solutions to the problems that are presented. Technicians draw on their vast experience of what worked in the past that can be adapted to be a solution to the current problems. Clear communication and collaboration round out the necessary skills. No technical theatre project is ever handled by one person on their own. Collaboration with many people is the norm, and successful collaboration requires clear written and verbal communication skills.
- Subjects:
- Performing Arts
- Keywords:
- Theaters--Stage-setting scenery Stage management Theater -- Production direction Textbooks
- Resource Type:
- e-book
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MOOC
Recently revised and updated! Effective teamwork and group communication are essential for your professional and personal success. In this course you will learn to: make better decisions, be more creative and innovative, manage conflict and work with difficult group members, negotiate for preferred outcomes, improve group communication in virtual environments, develop a better overall understanding of human interaction, and work more effectively as a team. Our goal is to help you understand these important dynamics of group communication and learn how to put them into practice to improve your overall teamwork.
- Keywords:
- Interpersonal communication Project management Communication in small groups Group problem solving
- Resource Type:
- MOOC
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MOOC
In today’s workplace, professionals don’t work alone, and rarely work with just one other person. More often, we are required to work in groups to strategize, design solutions, ideate, motivate, manage, and execute. This course, part of the Leadership Essentials Professional Certificate program, complements business communication skills and expands those competencies to provide a foundation for decision-making, consensus-building, and problem-solving within a group environment.
In this course, learners will analyze and evaluate their own experiences of leading and participating in teams, and will relate them to industry examples.
Topics in the course also include:
Team formation and development
Building, leading, organizing, and motivating teams
Managing conflict in groups to build productive professional relationships
Collaboration among cross-functional teams
Interpersonal relationship dynamics in small groups
- Keywords:
- Interpersonal communication Teams in the workplace Business communication
- Resource Type:
- MOOC
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MOOC
This award-winning course aims to sharpen your competitive edge in work and life. It empowers you with positive values and practical problem-solving skills, including creative strategies for addressing challenges from COVID-19. Enriched with interesting animations, a new success story and breakthrough pedagogies, this updated version (2.5) effectively helps you master knowledge and skills requisite for a successful life.
- Keywords:
- Creative thinking Learning ability Critical thinking
- Resource Type:
- MOOC
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MOOC
Whether you are a university student trying to make sense of a difficult major course project or struggling to add value during your internship placement; or you are practicing manager struggling to find a resolution to a complex problem, issue or challenge, this course will guide you through a framework designed to help you open up the alternatives. Through this structured framework designed to help you better deal with your unstructured problems, you will learn BETTER, learn FASTER and learn MORE than you are used to. In essence, this short course will help you “HOW” to learn to (un)learn during knowledge transfer.
- Subjects:
- Management
- Keywords:
- Problem solving Dice games
- Resource Type:
- MOOC
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Video
Staying F.O.C.U.S.E.D!
Learn BETTER. Learn FASTER. Learn MORE than you are used to.
To learn more about the idea of the “ecosystem” that we built around the FOCUSED philosophy and its accompanying 7 colourful dice framework, please visit the FOCUSED homepage.
Most problems, issues, and challenges remain unsolved because we end up resorting to our past habitual attempts without being mindful of new ways of thinking and new ways of doing. This video will showcase an innovative new strategic thinking framework that is designed to make you think more deeply and peripherally about your organization's unsolved problems, and in the process, open up alternatives not contemplated before.
This video illustrates the F.O.C.U.S.E.D. Dice framework, to help open your thinking about complex issues. Each letter represents different key behaviors:
"F" - Bring Fresh Perspective
"O" - Think, feel and act like an Owner/ Manager
"C" - Show Connected-thinking
"U" - Have a Sense of Urgency
"S" - Show Team SPIRIT
"E" - Always Engage
"D" - Exercise Deliberate Practice
- Subjects:
- Management
- Keywords:
- Problem solving Dice games
- 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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e-book
Social Problems: Continuity and Change is a realistic but motivating look at the many issues that are facing our society today. As this book's subtitle, Continuity and Change, implies, social problems are persistent, but they have also improved in the past and can be improved in the present and future, provided that our nation has the wisdom and will to address them. It is easy for students to read a social problems textbook and come away feeling frustrated by the enormity of the many social problems facing us today. Social Problems: Continuity and Change certainly does not minimize the persistence of social problems, but neither does it overlook the possibilities for change offered by social research and by the activities of everyday citizens working to make a difference. Readers the book will find many examples of how social problems have been improved and of strategies that hold great potential for solving them today and in the future. You will find several pedagogical features help to convey the “continuity and change” theme of this text and the service sociology vision in which it is grounded: Each chapter begins with a “Social Problems in the News” story related to the social problem discussed in that chapter. These stories provide an interesting starting point for the chapter's discussion and show its relevance for real-life issues. Three types of boxes in each chapter provide examples of how social problems have been changed and can be changed. In no particular order, A first box, “Applying Social Research,” discusses how the findings from sociological and other social science research have either contributed to public policy related to the chapter's social problem or have the potential of doing so. A second box, “Lessons from Other Nations,” discusses how another nation or nations have successfully addressed the social problem of that chapter. A third box, “People Making a Difference,” discusses efforts by individuals, non-profit organizations or social change groups, or social movements relating to the chapter's social problem. Students will see many examples in this box of how ordinary people can indeed make a difference. A fourth box in each chapter, “Children and Our Future,” examines how the social problem discussed in that chapter particularly affects children, and it outlines the problem's repercussions for their lives as adolescents and adults. This box reinforces for students the impact of social problems on children and the importance of addressing these problems for their well-being as well as for the nation's well-being.Each chapter ends with a “Using What You Know” feature that presents students with a scenario involving the social problem from the chapter and that puts them in a decision-making role. This feature helps connect the chapter's theoretical discussion with potential real-life situations. Each chapter also ends with a “What You Can Do” feature that suggests several activities, strategies, or other efforts that students might undertake to learn more about and/or to address the social problem examined in the chapter. Like other aspects of the book, this feature helps counter “doom and gloom” feelings that little can be done about social problems. Other pedagogical features in each chapter include Learning Objectives at the beginning of a major section that highlight key topics to be learned; Key Takeaways at the end of a major section that highlight important points that were discussed in the section; For Your Review questions, also at the end of a major section, that have students think critically about that section's discussion; and a Summary that reviews the major points made in the chapter. The founders of American sociology a century or more ago in cities like Atlanta and Chicago wanted to reduce social inequality, to improve the lives of people of color, and more generally to find solutions to the most vexing social problems of their times. A former president of the Society for the Study of Social Problems, A. Javier Treviño, has used the term service sociology to characterize their vision of their new discipline. Social Problems: Continuity and Change is grounded in this vision by offering a sociological understanding of today's social problems and of possible solutions to these problems.
- Subjects:
- Sociology
- Keywords:
- Textbooks Social problems Social change
- Resource Type:
- e-book
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Others
In this interactive object, learners examine the five problem-solving steps of Define, Measure, Analyze, Improve, and Control. Some of the most common measures and tools are listed for each step.
- Subjects:
- Management
- Keywords:
- Production management -- Quality control Process control Six sigma (Quality control stard)
- Resource Type:
- Others
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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
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Others
In this learning activity you'll be introduced to the cause and effect diagram.
- Subjects:
- Management
- Keywords:
- Root cause analysis Problem solving
- Resource Type:
- Others
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Others
Testing your prototype is an essential step in Design Thinking. Not only to see if they work but to see if the user is utilizing the product the same way designers think. Learn about the guidelines and types of prototypes you can use in your process.
- Subjects:
- Design Elements
- Keywords:
- Design Communication in design Prototypes Engineering
- Resource Type:
- Others
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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
-
Others
You'll understand how to use a run chart to describe a manufacturing problem.
- Subjects:
- Management
- Keywords:
- Process control Problem solving Production management
- Resource Type:
- Others
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Others
The learner will understand how to use brainstorming and a decision matrix to find the best solution to a problem.
- Keywords:
- Problem solving
- Resource Type:
- Others
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e-book
This textbook covers content relevant to COMS342 Problem Solving in Teams and Groups at the University of Kansas.
- Subjects:
- Management
- Keywords:
- Group decision making Problem solving Textbooks Teams in the workplace
- Resource Type:
- e-book
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e-book
Principles of Microeconomics is an adaptation of the textbook, Microeconomics: Markets, Methods, and Models by D. Curtis and I. Irvine, which provides concise yet complete coverage of introductory microeconomic theory, application and policy in a Canadian and global environment. This adaptation employs methods that use equations sparingly and do not utilize calculus. The key issues in most chapters are analyzed by introducing a numerical example or case study at the outset. Students are introduced immediately to the practice of taking a data set, examining it numerically, plotting it, and again analyzing the material in that form. The end-of-chapter problems involve numerical and graphical analysis, and a small number of problems in each chapter involve solving simple linear equations (intersecting straight lines). However, a sufficient number of questions is provided for the student to test understanding of the material without working through that subset of questions. This textbook is intended for a one-semester course, and can be used in a two-semester sequence with the companion textbook, Principles of Macroeconomics. The three introductory chapters are common to both textbooks.
- Subjects:
- Economics
- Keywords:
- Microeconomics Textbooks
- Resource Type:
- e-book
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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
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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
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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
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
-
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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Others
The learner will identify ways to overcome barriers to critical thinking and problem-solving including false memories, personal biases and prejudices, and physical and emotional hindrances.
- Keywords:
- Critical thinking Critical thinking -- Study teaching
- Resource Type:
- Others
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Others
Continuous improvement programs are sprouting up all over as organizations strive to better themselves and gain an edge. The topic list is long and varied, and sometimes it seems as though a program a month is needed just to keep up. Unfortunately, failed programs far outnumber successes, and improvement rates remain distressingly low. Why? Because most companies have failed to grasp a basic truth. Continuous improvement requires a commitment to learning. How, after all, can an organization improve without first learning something new? Solving a problem, introducing a product, and reengineering a process all require seeing the world in a new light and acting accordingly. In the absence of learning, companies—and individuals—simply repeat old practices. Change remains cosmetic, and improvements are either fortuitous or short-lived.
- Course related:
- MM4311 Strategic Management
- Subjects:
- Management
- Keywords:
- Organizational learning
- Resource Type:
- Others
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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
-
Video
We are on a mission to provide free and subsidized education. We believe that the real world exists beyond the walls of costly institutions. We are here to help you in all the possible ways. A small step to educate the world. Join us and be a part of our creative community. "Every individual is different and talented, what you need are passion and curiosity."
- Course related:
- EE4004A Power Systems, EE2003A Electronics, EE3008A Linear Systems and Signal Processing, and EE3001A Analogue and Digital Circuits
- Subjects:
- Electronic and Information Engineering, Electrical Engineering, and Computing
- Keywords:
- Engineering Engineering -- Data processing Computer science
- Resource Type:
- Video
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e-book
My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebra Textbooks
- Resource Type:
- e-book
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MOOC
Most professions these days require more than general intelligence. They require in addition the ability to collect, analyze and think about data. Personal life is enriched when these same skills are applied to problems in everyday life involving judgment and choice. This course presents basic concepts from statistics, probability, scientific methodology, cognitive psychology and cost-benefit theory and shows how they can be applied to everything from picking one product over another to critiquing media accounts of scientific research. Concepts are defined briefly and breezily and then applied to many examples drawn from business, the media and everyday life.
What kinds of things will you learn? Why it’s usually a mistake to interview people for a job. Why it’s highly unlikely that, if your first meal in a new restaurant is excellent, you will find the next meal to be as good. Why economists regularly walk out of movies and leave restaurant food uneaten. Why getting your picture on the cover of Sports Illustrated usually means your next season is going to be a disappointment. Why you might not have a disease even though you’ve tested positive for it. Why you’re never going to know how coffee affects you unless you conduct an experiment in which you flip a coin to determine whether you will have coffee on a given day. Why it might be a mistake to use an office in a building you own as opposed to having your office in someone else’s building. Why you should never keep a stock that’s going down in hopes that it will go back up and prevent you from losing any of your initial investment. Why it is that a great deal of health information presented in the media is misinformation.
- Keywords:
- Reasoning Problem solving Critical thinking Decision making
- Resource Type:
- MOOC
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e-book
Russell Cooper and Andrew John have written an economics text aimed directly at students from its very inception. You're thinking, ”Yeah, sure. I've heard that before.“ This textbook, Microeconomics: Theory Through Applications, centers around student needs and expectations through two premises: … Students are motivated to study economics if they see that it relates to their own lives. … Students learn best from an inductive approach, in which they are first confronted with a problem, and then led through the process of solving that problem. Many books claim to present economics in a way that is digestible for students; Russell and Andrew have truly created one from scratch. This textbook will assist you in increasing students' economic literacy both by developing their aptitude for economic thinking and by presenting key insights about economics that every educated individual should know. How? Russell and Andrew have done three things in this text to accomplish that goal: 1. Applications Ahead of Theory: They present all the theory that is standard in Principles books. But by beginning with applications, students get to learn why this theory is needed. The authors take the kind of material that other authors put in ”applications boxes“ and place it at the heart of their book. Each chapter is built around a particular business or policy application, such as minimum wages, the stock exchange, and auctions. Why take this approach? Traditional courses focus too much on abstract theory relative to the interests and capabilities of the average undergraduate. Students are rarely engaged and the formal theory is never integrated into the way students think about economic issues. And traditional books are organized around theoretical constructs that mean nothing to students. The authors' applications-first approach ensures that students will not see chapters with titles like ”Cost Functions“ or ”Short-Run Fluctuations“. They introduce tools and ideas as and when they are needed. Each chapter is designed with two goals. First, the application upon which the chapter is built provides a ”hook“ that gets students' attention. Second, the application is a suitable vehicle a vehicle for teaching the principles of economics. 2. Learning through Repetition: Important tools appear over and over again, allowing students to learn from repetition and to see how one framework can be useful in many different contexts. Each piece of economic theory in this text is first introduced and explained in the context of a specific application. Most are re-used in other chapters, so students see them in action on multiple occasions. As students progress through the book, they accumulate a set of techniques and ideas. These are collected separately in a ”toolkit“ that provides students with an easy reference and also gives them a condensed summary of economic principles for examination preparation. 3. A Student's Table of Contents vs. An Instructor's Table of Contents: There is no further proof that Russell and Andrew have created a book aimed specifically at educating students about economics than their two tables of contents. The Student's Table of Contents speaks to students, piquing their interest to involve them in the economics, and a Instructor's Table of Contents with the economics to better help you organize your teaching—and frankly, you don't need to get excited by economics, you already are.
- Subjects:
- Economics
- Keywords:
- Microeconomics Textbooks
- Resource Type:
- e-book
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Video
This video playlist covers the topic of: 1.Microeconomics with Calculus 2: Demand and Supply. 2. Microeconomics with Calculus 3: Elasticities. 3. Microeconomics with Calculus 4: Consumer Preferences. 4. Microeconomics with Calculus 5: The Consumer’s Problem. 5. Microeconomics with Calculus 6: Solving the Consumer’s Problem. 6. Microeconomics with Calculus 7. Deriving Demand Functions. 7. Microeconomics with Calculus 8: The Hicks Decomposition. 8. Microeconomics with Calculus 9: The Slutsky Equation. 9. Microeconomics with Calculus 10: Consumer Welfare Analysis. 10.Microeconomics with Calculus 11: Short-Run Production. 11.Microeconomics with Calculus 12: Long-Run Production. 12.Microeconomics with Calculus 13: Short-Run Costs. 13. Microeconomics with Calculus 14: Long-Run Costs.
- Course related:
- AF3620 Intermediate Microeconomics
- Subjects:
- Economics
- Keywords:
- Calculus Microeconomics Economics Mathematical
- Resource Type:
- Video
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e-book
This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will:• Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more.• Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).• Construct viable arguments and critique the reasoning of others. You will be expected to create both written and verbal explanations for your solutions to problems. The most important questions in this class are “Why?” and “How do you know you're right?” Practice asking these questions of yourself, of your professor, and of your fellow students.Throughout the book, you will learn how to learn mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.
- Keywords:
- Mathematics -- Study teaching (Elementary) Textbooks
- Resource Type:
- e-book
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e-book
Mathematical Reasoning: Writing and Proofis designed to be a text for the ?rst course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students: Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting. Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples. Develop the ability to read and understand written mathematical proofs. Develop talents for creative thinking and problem solving. Improve their quality of communication in mathematics. This includes improving writing techniques, reading comprehension, and oral communication in mathematics. Better understand the nature of mathematics and its language. This text also provides students with material that will be needed for their further study of mathematics.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
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Video
Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. Dan Meyer shows classroom-tested math exercises that prompt students to stop and think.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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MOOC
Gone are the days when Problem Solving and Decision Making often happened within the four walls of a top boss’s cabin. In the beginning of this century - As we blinked our eyes, the world changed, cabins broke down to give way to open offices, traditional management hierarchy collapsed and saw a horizontal spread. With delegation and authority batons being passed to the executive and trainee levels, Problem Solving and Decision Making skills became a must have quality at all levels in an organization. In simple words it is – have it or leave it.
That’s less said - Just learning the skill of solving problems and taking good decisions isn’t enough. Today, the modern workplace demands the new age executives and managers to expand their potential of creative thinking and bring it to the table while solving problems and making decisions. There is one more news for you, Creativity, Problem Solving and Decision Making skills are no more confined to the management and leadership levels, students who aspire for their dream jobs to be a reality, also will have to bring these skills along with their candidature.
That is why, we decided to offer this practical and highly researched course with all these 3 skills clubbed into 1 course so that you may not have to search anywhere - anymore.
If at any point of your life, you ever felt the need to work upon your creative thinking ability or your problem solving skills or even your decision making capability, look no further, this course is just the right one for you.
- Course related:
- SD5131 Interdisciplinary Project
- Keywords:
- Problem solving Creative thinking Critical thinking
- Resource Type:
- MOOC
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e-book
Russell Cooper and Andrew John have written an economics text aimed directly at students from its very inception. You're thinking, ”Yeah, sure. I've heard that before.“ This textbook, Macroeconomics: Theory Through Applications, centers around student needs and expectations through two premises: … Students are motivated to study economics if they see that it relates to their own lives. … Students learn best from an inductive approach, in which they are first confronted with a problem, and then led through the process of solving that problem. Many books claim to present economics in a way that is digestible for students; Russell and Andrew have truly created one from scratch. This textbook will assist you in increasing students' economic literacy both by developing their aptitude for economic thinking and by presenting key insights about economics that every educated individual should know. How? Russell and Andrew have done three things in this text to accomplish that goal: 1. Applications Ahead of Theory: They present all the theory that is standard in Principles books. But by beginning with applications, students get to learn why this theory is needed. The authors take the kind of material that other authors put in ”applications boxes“ and place it at the heart of their book. Each chapter is built around a particular business or policy application, such as social security, globalization, and the wealth and poverty of nations. Why take this approach? Traditional courses focus too much on abstract theory relative to the interests and capabilities of the average undergraduate. Students are rarely engaged and the formal theory is never integrated into the way students think about economic issues. And traditional books are organized around theoretical constructs that mean nothing to students. The authors' applications-first approach ensures that students will not see chapters with titles like ”Cost Functions“ or ”Short-Run Fluctuations“. They introduce tools and ideas as and when they are needed. Each chapter is designed with two goals. First, the application upon which the chapter is built provides a ”hook“ that gets students' attention. Second, the application is a suitable vehicle a vehicle for teaching the principles of economics. 2. Learning through Repetition: Important tools appear over and over again, allowing students to learn from repetition and to see how one framework can be useful in many different contexts. Each piece of economic theory in this text is first introduced and explained in the context of a specific application. Most are re-used in other chapters, so students see them in action on multiple occasions. As students progress through the book, they accumulate a set of techniques and ideas. These are collected separately in a ”toolkit“ that provides students with an easy reference and also gives them a condensed summary of economic principles for examination preparation. 3. A Student's Table of Contents vs. An Instructor's Table of Contents: There is no further proof that Russell and Andrew have created a book aimed specifically at educating students about economics than their two tables of contents. The Student's Table of Contents speaks to students, piquing their interest to involve them in the economics, and a Instructor's Table of Contents with the economics to better help you organize your teaching—and frankly, you don't need to get excited by economics, you already are.
- Subjects:
- Economics
- Keywords:
- Macroeconomics Textbooks
- Resource Type:
- e-book
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Courseware
This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:
A complete set of Lecture Videos by Professor Gilbert Strang.
Summary Notes for all videos along with suggested readings in Prof. Strang’s textbook Linear Algebra.
Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
Problem Sets to do on your own with Solutions to check your answers against when you’re done.
A selection of Java® Demonstrations to illustrate key concepts.
A full set of Exams with Solutions, including review material to help you prepare.
- Course related:
- AMA1120 Basic Mathematics II
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Courseware
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