Schaum's Outlines
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Schaum's Outlines
Schaum's Outlines () is a series of supplementary texts for American high school, AP, and college-level courses, currently published by McGraw-Hill Education Professional, a subsidiary of McGraw-Hill Education. The outlines cover a wide variety of academic subjects including mathematics, engineering and the physical sciences, computer science, biology and the health sciences, accounting, finance, economics, grammar and vocabulary, and other fields. In most subject areas the full title of each outline starts with ''Schaum's Outline of Theory and Problems of'', but on the cover this has been shortened to simply ''Schaum's Outlines'' followed by the subject name in more recent texts. Background and description The series was originally developed in the 1930s by Daniel Schaum (November 13, 1913 – August 22, 2008), son of eastern European immigrants. McGraw-Hill purchased Schaum Publishing Company in 1967. Titles are continually revised to reflect current educational standards in thei ...
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Advanced Placement Program
Advanced Placement (AP) is a program in the United States and Canada created by the College Board which offers college-level curricula and examinations to high school students. American colleges and universities may grant placement and course credit to students who obtain high scores on the examinations. The AP curriculum for each of the various subjects is created for the College Board by a panel of experts and college-level educators in that field of study. For a high school course to have the designation, the course must be audited by the College Board to ascertain that it satisfies the AP curriculum as specified in the Board's Course and Examination Description (CED). If the course is approved, the school may use the AP designation and the course will be publicly listed on the AP Course Ledger. History After the end of World War II, the Ford Foundation created a fund that supported committees studying education. The program, which was then referred to as the "Kenyon Plan", ...
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Problem Solving
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles. Another classification is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is troublesome but it is not clear what kind of resolution to aim for. Similarly, one may distinguish formal or fact-based problems requiring psychometric intelligence, versus socio-emotional problems which depend on the changeable emotions of individuals or groups, such as tactful behavior, fashion, or gift choices. Solutions require sufficient resources and knowledge to attain the goal. Professionals such as ...
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CliffsNotes
CliffsNotes are a series of student study guides. The guides present and create literary and other works in pamphlet form or online. Detractors of the study guides claim they let students bypass reading the assigned literature. The company claims to promote the reading of the original work and does not view the study guides as a substitute for that reading. Company history CliffsNotes was started by Nebraska native Clifton Hillegass in 1958. He was working at Nebraska Book Company of Lincoln, Nebraska, when he met Jack Cole, the co-owner of Coles, a Toronto book business. Coles published a series of Canadian study guides called Coles Notes, and sold Hillegass the U.S. rights to the guides. Hillegass and his wife, Catherine, started the business in their basement at 511 Eastridge Drive in Lincoln, with sixteen William Shakespeare titles. By 1964 sales reached one million Notes annually. CliffsNotes now exist for hundreds of works. The term "Cliff's Notes" has now become a ...
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Barron's Educational Series
Kaplan, Inc. is an American for-profit corporation that provides educational and training services to colleges, universities, businesses and individuals around the world. Founded in 1938 by Stanley Kaplan, the company offers a variety of test preparation, certifications and student support services. The company is headquartered in Fort Lauderdale, Florida, and is a wholly owned subsidiary of Graham Holdings Company. History Kaplan, Inc. was founded in 1938 by Stanley H. Kaplan, who started the business by tutoring students for the New York State Regents Exam in the basement of his parents' Brooklyn home. He eventually opened locations around the country. In 1984, Kaplan sold the company to The Washington Post Company. The company grew significantly in the 1990s by expanding its business and purchasing other test preparation and educational companies. The company's leader during this expansion period was Jonathan Grayer. In 2017, Purdue University announced the acquisition of K ...
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Topology
In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such as Stretch factor, stretching, Twist (mathematics), twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set (mathematics), set endowed with a structure, called a ''Topology (structure), topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity (mathematics), continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopy, homotopies. A property that is invariant under such deformations is a topological property. Basic exampl ...
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Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear engineering, nuclear, aerospace engineering, aerospace, mechanical engineering, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is Analyticity of holomorphic functions, analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical ...
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Calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including (ε, δ)-definition of limit, codify ...
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Chemistry
Chemistry is the science, scientific study of the properties and behavior of matter. It is a natural science that covers the Chemical element, elements that make up matter to the chemical compound, compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a Chemical reaction, reaction with other Chemical substance, substances. Chemistry also addresses the nature of chemical bonds in chemical compounds. In the scope of its subject, chemistry occupies an intermediate position between physics and biology. It is sometimes called the central science because it provides a foundation for understanding both Basic research, basic and Applied science, applied scientific disciplines at a fundamental level. For example, chemistry explains aspects of plant growth (botany), the formation of igneous rocks (geology), how atmospheric ozone is formed and how environmental pollutants are degraded (ecology), the properties ...
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Community College
A community college is a type of educational institution. The term can have different meanings in different countries: many community colleges have an "open enrollment" for students who have graduated from high school (also known as senior secondary school or upper secondary school). The term usually refers to a higher educational institution that provides workforce education and college transfer academic programs. Some institutions maintain athletic teams and dormitories similar to their university counterparts. Australia In Australia, the term "community college" refers to small private businesses running short (e.g. 6 weeks) courses generally of a self-improvement or hobbyist nature. Equivalent to the American notion of community colleges are Technical and further education, Tertiary and Further Education colleges or TAFEs; these are institutions regulated mostly at state and territory level. There are also an increasing number of private providers colloquially called "col ...
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Statistics
Statistics (from German language, German: ''wikt:Statistik#German, Statistik'', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of statistical survey, surveys and experimental design, experiments.Dodge, Y. (2006) ''The Oxford Dictionary of Statistical Terms'', Oxford University Press. When census data cannot be collected, statisticians collect data by developing specific experiment designs and survey sample (statistics), samples. Representative sampling as ...
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Exercise (mathematics)
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition, subtraction, multiplication, and division of integers. Extensive courses of exercises in school extend such arithmetic to rational numbers. Various approaches to geometry have based exercises on relations of angles, segments, and triangles. The topic of trigonometry gains many of its exercises from the trigonometric identities. In college mathematics exercises often depend on functions of a real variable or application of theorems. The standard exercises of calculus involve finding derivatives and integrals of specified functions. Usually instructors prepare students with worked examples: the exercise is stated, then a model answer is provided. Often several worked examples are demonstrated before students are prepared to attempt exercises on their own. ...
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