Precalculus

Precalculus PDF

Author: David Lippman

Publisher:

Published: 2022-07-14

Total Pages: 0

ISBN-13: 9781955576000

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This is an 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. The second portion of the book introduces trigonometry, 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. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

Introduction to Computation and Programming Using Python, second edition

Introduction to Computation and Programming Using Python, second edition PDF

Author: John V. Guttag

Publisher: MIT Press

Published: 2016-08-12

Total Pages: 466

ISBN-13: 0262529629

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The new edition of an introductory text that teaches students the art of computational problem solving, covering topics ranging from simple algorithms to information visualization. This book introduces students with little or no prior programming experience to the art of computational problem solving using Python and various Python libraries, including PyLab. It provides students with skills that will enable them to make productive use of computational techniques, including some of the tools and techniques of data science for using computation to model and interpret data. The book is based on an MIT course (which became the most popular course offered through MIT's OpenCourseWare) and was developed for use not only in a conventional classroom but in in a massive open online course (MOOC). This new edition has been updated for Python 3, reorganized to make it easier to use for courses that cover only a subset of the material, and offers additional material including five new chapters. Students are introduced to Python and the basics of programming in the context of such computational concepts and techniques as exhaustive enumeration, bisection search, and efficient approximation algorithms. Although it covers such traditional topics as computational complexity and simple algorithms, the book focuses on a wide range of topics not found in most introductory texts, including information visualization, simulations to model randomness, computational techniques to understand data, and statistical techniques that inform (and misinform) as well as two related but relatively advanced topics: optimization problems and dynamic programming. This edition offers expanded material on statistics and machine learning and new chapters on Frequentist and Bayesian statistics.

Advanced Mathematics

Advanced Mathematics PDF

Author: John H. Saxon, Jr.

Publisher: Saxon Pub

Published: 1999-07

Total Pages:

ISBN-13: 9781565771277

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Saxon math programs produce confident students who are not only able to correctly compute, but also to apply concepts to new situations. These materials gently develop concepts, and the practice of those concepts is extended over a considerable period of time. This is called "incremental development and continual review." Material is introduced in easily understandable pieces (increments), allowing students to grasp one facet of a concept before the next one is introduced. Both facets are then practiced together until another one is introduced. This feature is combined with continual review in every lesson throughout the year. Topics are never dropped but are increased in complexity and practiced every day, providing the time required for concepts to become totally familiar. Advanced Mathematics, second edition is made up of five instructional components: Introduction of the New Increment, Examples with complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. In Advanced Mathematics, topics from algebra, geometry, trigonometry, discrete mathematics, and mathematical analysis are interwoven to form a fully integrated text. A rigorous treatment of Euclidean geometry is also presented. Word problems are developed throughout the problem sets and become progressively more elaborate. With this practice, students will be able to solve challenging problems such as rate problems and work problems involving abstract quantities. A graphing calculator is used to graph functions and perform data analysis. Conceptually-oriented problems that prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets. This set contains a student text, answer key and test forms. A solutions manual is sold separately. Grade 11.

Pre-Calculus For Dummies

Pre-Calculus For Dummies PDF

Author: Yang Kuang

Publisher: John Wiley & Sons

Published: 2012-06-26

Total Pages: 408

ISBN-13: 1118168887

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Offers an introduction to the principles of pre-calculus, covering such topics as functions, law of sines and cosines, identities, sequences, series, and binomials.

More than a Moment

More than a Moment PDF

Author: Steven D. Krause

Publisher: University Press of Colorado

Published: 2020-01-02

Total Pages: 154

ISBN-13: 1607327872

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As recently as 2012, massive open online courses (MOOCs) looked poised to revolutionize higher education, but in just a few years their flaws and problems have made them into a less relevant model. In More than a Moment, Steven D. Krause explores MOOCs and their continuing impact on distance learning in higher education, putting them in the context of technical innovations that have come before and those that will be part of the educational future. Krause writes about his own experiences as a participant in several MOOCs and the experiences of faculty who developed and taught MOOCs. Contrary to many early claims from educational entrepreneurs, they were never entirely “new,” and MOOCs and their aftermath are still at the heart of the tensions between nonprofit universities and for-profit entities, particularly online program management firms, in delivering distance education. While MOOCs are no longer a threat to education in the United States, they are part of the ongoing corporatization of education and remain part of conversations about experienced-based credit, corporate training, and open education. Presenting historical, student, teacher, and administrative perspectives, More than a Moment is a well-rounded treatment that will be of interest to academics and entrepreneurs interested in distance education, online pedagogy, online program management, and public-private partnerships in higher education.

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