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Giáo trình, tài liệu tham khảo và tài nguyên học tập mở.
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Trigonometry
Katherine Yoshiwara · Los Angeles Pierce College
This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.
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TMCC: Precalculus I and II
OpenStax · LibreTexts
This precalculus textmap is intended for college-level Precalculus students and is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text.
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Arithmetic and Algebra
Samar ElHitti, Marianna Bonanome, Holly Carley, Thomas Tradler, & Lin Zhou · CUNY New York City College of Technology & NYC College of Technology
Arithmetic | Algebra provides a customized open-source textbook for the math developmental students at New York City College of Technology. The book consists of short chapters, addressing essential concepts necessary to successfully proceed to credit-level math courses. Each chapter provides several solved examples and one unsolved “Exit Problem”. Each chapter is also supplemented by its own WeBWork online homework assignment.
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MAT 1160: Data & Chance
Andy D. Jones · Prince George's Community College
This textbook supports a semester‑long statistics and probability course for future elementary and middle school teachers. It includes ideas from general education statistics but doesn't emphasize inferential statistics. It focuses on concepts essential for teaching math in the lower grades and covers topics beyond the primary curriculum, including interpreting assessment measures, understanding statistics used in professional practice, and developing informed perspectives about data and chance.
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Active Prelude to Calculus
Matthew Boelkins, David Austin & Steven Schlicker · Grand Valley State University
This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus. The reader will find that the text requires them to engage actively with the material.
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Relativity Lite - A Pictorial Translation of Einstein’s Theories of Motion and Gravity
Jack C. Straton · Portland State University
Relativity Lite is designed for courses like my 100-student General Astronomy sequence. Relativity Lite translates the mathematical equations conventional relativity texts rely upon into pictures that are readily understood and contain within them the mathematical essentials. This new book would provide the comprehensive coverage needed to understand, in sufficient depth, these three linked areas of our reality.
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Applied Calculus
Shana Calaway, Dale Hoffman, & David Lippman · LibreTexts
An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.
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Intermediate Algebra and Precalculus
Margaret H. Dean · Borough of Manhattan Community College
This course integrates Intermediate Algebra and Trigonometry with Precalculus. Topics include properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and trigonometric functions.
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Multivariable Calculus Text (Supplement to Open Stax Text)
Karla Westphal · Saddleback College
This is a supplement to OpenStax Calculus V3. It is meant to substitute for section 4.2, limits of functions of more than 1 variable, placing less emphasis on using the definition directly and more on techniques like substitution, changing coordinate systems, and paths.
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Calculus for Business and Social Sciences Corequisite Workbook
Victoria Dominguez, Cristian Martinez, & Sanaa Saykali · Citrus College
This text serves as a Corequisite Workbook for an Applied Calculus course. It is vitally important for students who take this course (and its corequisite) to have a thorough and complete refresher of Algebra skills needed for Calculus. These problems may be assigned as in-class practice problems, and can be also assigned as homework, to be graded and counted toward the Applied Calculus corequisite final grade.
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Partial Differential Equations
Erich Miersemann · Universität Leipzig
Partial differential equations are differential equations that contains unknown multivariable functions and their partial derivatives
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Matrix Algebra with Computational Applications
Dirk Colbry · Michigan State University
Có trong mục lục: 42.2: Review of Python Math Package · 42.5: LaTeX Math · 44.2: Review of Python Math Package
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Differential Equations for Engineers
Jiří Lebl · Oklahoma State University
A one semester first course on differential equations, aimed at engineering students. This course covers techniques of solving ordinary differential equations including exact, separable, and linear equations; integrating factors; the method of undetermined coefficients; variation of parameters; Laplace transforms; series solutions; systems of differential equations; and applications.
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Introduction to the Modeling and Analysis of Complex Systems
Hiroki Sayama · Binghamton University, State University of New York
Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways.
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Abstract Algebra: Theory and Applications
Thomas W. Judson · Stephen F. Austing State University
Có trong mục lục: 2.01: Mathematical Induction
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Linear Algebra
Isaiah Lankham, Bruno Nachtergaele, & Anne Schilling · University of California, Davis
Có trong mục lục: 13.03: Some Common Mathematical Symbols and Abbreviations
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Biological Statistics
John H. McDonald · University of Delaware
The goal in that class is to teach biology students how to choose the appropriate statistical test for a particular experiment, then apply that test and interpret the results. In my class and in this textbook, I spend relatively little time on the mathematical basis of the tests; for most biologists, statistics is just a useful tool, like a microscope, and knowing the detailed mathematical basis of a statistical test is as unimportant to most biologists as knowing which kinds of glass were used
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Agent-Based Evolutionary Game Dynamics
Luis R. Izquierdo, Segismundo S. Izquierdo, & William H. Sandholm · University of Wisconsin - Madison
A guide to implement and analyze Agent-Based Models within the framework of Evolutionary Game Theory, using NetLogo
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Physics Formulas
Johan Wevers · Eindhoven University of Technology
This formulary is written at advanced undergraduate/postgraduate level. It is intended to be a short reference for anyone who works with physics and often needs to look up equations.
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Elementary College Geometry
Henry Africk · CUNY New York City College of Technology
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems.