This book will help you to understand elementary mathematics more deeply, gain …
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.
Short Description: The Math for Trades: Volume 1 textbook represents the building …
Short Description: The Math for Trades: Volume 1 textbook represents the building blocks for math training. The book includes whole numbers, fractions, decimals, and percents. The material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. The goal of this volume is to get students prepared for the more advanced topics that they will encounter during their trades math education.
Word Count: 23344
ISBN: 978-1-77420-061-2
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Short Description: The Math for Trades: Volume 2 textbook continues where the …
Short Description: The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units and working with equations, perimeter, area, and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.
Long Description: The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units, working with equations, perimeter, area and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.
Word Count: 29113
ISBN: 978-1-77420-113-8
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
Math in Society is a free, open textbook. This book is a …
Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level 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 in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).
Matrix Algebra with Computational Applications is a collection of Open Educational Resource …
Matrix Algebra with Computational Applications is a collection of Open Educational Resource (OER) materials designed to introduce students to the use of Linear Algebra to solve real-world problems. These materials were developed specifically for students and instructors working in a "flipped classroom" model that emphasizes hands-on problem-solving activities during class meetings, with students watching lectures and completing readings and assignments outside of the classroom. To access the Matrix Algebra with Computational Applications website, please go to http://colbrydi.github.io/MatrixAlgebra
Modeling, Functions, and Graphs covers the content of a typical college algebra …
Modeling, Functions, and Graphs covers the content of a typical college algebra course with an emphasis on functions and modeling; when combined with a trigonometry text or supplement, this text can be used in a precalculus course.
The text employs a variety of applications to motivate mathematical thinking. Each chapter opens with a problem of historical or contemporary significance highlighting the material in the chapter, and includes by an Investigation that previews the skills to be introduced. These Investigations can be used in class as guided explorations or as projects for small groups. We have also provided a set of more challenging Projects at the end of each chapter.
Mathematics, as we all know, is the language of science, and fluency …
Mathematics, as we all know, is the language of science, and fluency in algebraic skills has always been necessary for anyone aspiring to disciplines based on calculus. But in the information age, increasingly sophisticated mathematical methods are used in all fields of knowledge, from archaeology to zoology. Consequently, there is a new focus on the courses before calculus. The availability of calculators and computers allows students to tackle complex problems involving real data, but requires more attention to analysis and interpretation of results. All students, not just those headed for science and engineering, should develop a mathematical viewpoint, including critical thinking, problem-solving strategies, and estimation, in addition to computational skills. Modeling, Functions and Graphs employs a variety of applications to motivate mathematical thinking.
This text is for an introductory level probability and statistics course with …
This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE). Software examples provided for Microsoft Excel, TI-84 & TI-89 calculators. A formula packet and pdf version of the text are available on the website http://mostlyharmlessstatistics.com. Students new to probability and statistics are sure to benefit from this fully ADA accessible and relevant textbook. The examples resonate with everyday life, the text is approachable, and has a conversational tone to provide an inclusive and easy to read format for students.
This book covers the standard material for a one-semester course in multivariable …
This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required.
My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that …
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.
Short Description: Return to milneopentextbooks.org to download PDF and other versions of …
Short Description: Return to milneopentextbooks.org to download PDF and other versions of this textNewParaNatural Resources Biometrics begins with a review of descriptive statistics, estimation, and hypothesis testing. The following chapters cover one- and two-way analysis of variance (ANOVA), including multiple comparison methods and interaction assessment, with a strong emphasis on application and interpretation. Simple and multiple linear regressions in a natural resource setting are covered in the next chapters, focusing on correlation, model fitting, residual analysis, and confidence and prediction intervals. The final chapters cover growth and yield models, volume and biomass equations, site index curves, competition indices, importance values, and measures of species diversity, association, and community similarity.
Long Description: Natural Resources Biometrics begins with a review of descriptive statistics, estimation, and hypothesis testing. The following chapters cover one- and two-way analysis of variance (ANOVA), including multiple comparison methods and interaction assessment, with a strong emphasis on application and interpretation. Simple and multiple linear regressions in a natural resource setting are covered in the next chapters, focusing on correlation, model fitting, residual analysis, and confidence and prediction intervals. The final chapters cover growth and yield models, volume and biomass equations, site index curves, competition indices, importance values, and measures of species diversity, association, and community similarity.
Word Count: 52267
ISBN: 978-1-942341-17-8
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
In this book we discuss several numerical methods for solving ordinary differential …
In this book we discuss several numerical methods for solving ordinary differential equations. We emphasize the aspects that play an important role in practical problems. We confine ourselves to ordinary differential equations with the exception of the last chapter in which we discuss the heat equation, a parabolic partial differential equation. The techniques discussed in the intro-ductory chapters, for instance interpolation, numerical quadrature and the solution to nonlinear equations, may also be used outside the context of differential equations. They have been in-cluded to make the book self-contained as far as the numerical aspects are concerned. Chapters, sections and exercises marked with a * are not part of the Delft Institutional Package. The numerical examples in this book were implemented in Matlab, but also Python or any other programming language could be used. A list of references to background knowledge and related literature can be found at the end of this book. Extra information about this course can be found at http://NMODE.ewi.tudelft.nl, among which old exams, answers to the exercises, and a link to an online education platform. We thank Matthias Moller for his thorough reading of the draft of this book and his helpful suggestions.
The Open Logic Text is an open textbook on mathematical logic aimed …
The Open Logic Text is an open textbook on mathematical logic aimed at a non-mathematical audience, intended for advanced logic courses as taught in many philosophy departments. It is open-source: you can download the LaTeX code. It is open: you’re free to change it whichever way you like, and share your changes. It is collaborative: a team of people is working on it, using the GitHub platform, and we welcome contributions and feedback. And it is written with configurability in mind.
Carrie and Kelly’s OER grant project will create open materials for Math …
Carrie and Kelly’s OER grant project will create open materials for Math 098. Community colleges throughout Oregon have been planning and implementing MTH 098 since 2014 based on recommendations from the developmental education redesign workgroup. The course was created to provide a shortened, more appropriate path for students to take MTH 105 and earn an Associate of Arts Transfer degree. Some institutions, such as Clackamas Community College, include the added benefit of allowing for MTH 105 to serve as a prerequisite to MTH 243, extending the pathway for students.
Their goal is to create materials that:
- Are learner-centered - Readily integrate group work and collaboration - Create opportunities for students to make critical thinking a habit of mind - Acknowledge and respect common anxieties, personalities, and professional goals of students in the “alternate pathway”.
Visit their public MTH 098 course on MyOpenMath to learn more.
Open Resources for Community College Algebra (ORCCA) is an open-source, openly-licensed textbook …
Open Resources for Community College Algebra (ORCCA) is an open-source, openly-licensed textbook package (eBook, print, and online homework) for basic and intermediate algebra. At Portland Community College, Part 1 is used in MTH 60, Part 2 is used in MTH 65, and Part 3 is used in MTH 95.
Open Source Calculus and Analysis - A comprehensive textbook introducing the main …
Open Source Calculus and Analysis - A comprehensive textbook introducing the main concepts from calculus and analysis
Features - Comprehensiveness: all from calculus and analysis that is needed in first year mathematics-oriented programmes - Mathematical rigour: formal definitions, extended theorems and proofs - Includes differential equations - Applicability: integrated symbolic (Mathematica or SymPy) and numerical computation (Python), review exercises, and so on - Accessibility: final solution to all exercises, QR codes to accompanying videos,… - Flexibility: using dedicated if-loops in the underlying Latex-code you can compile the version that suits your needs (Mathematica or Sympy, Calculus only or analysis as well, with or without differential equations,…)
College Algebra 2e provides a comprehensive exploration of algebraic principles and meets …
College Algebra 2e provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book addresses the needs of a variety of courses. College Algebra 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
The College Algebra 2e revision focused on improving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students’ lives and interests. To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text.
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