In many introductory level courses today, teachers are challenged with the task …
In many introductory level courses today, teachers are challenged with the task of fitting in all of the core concepts of the course in a limited period of time. The Introductory Statistics teacher is no stranger to this challenge. To add to the difficulty, many textbooks contain an overabundance of material, which not only results in the need for further streamlining, but also in intimidated students. Shafer and Zhang wrote Introductory Statistics by using their vast teaching experience to present a complete look at introductory statistics topics while keeping in mind a realistic expectation with respect to course duration and students' maturity level.
We hope readers will take away three ideas from this book in …
We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods.
(1) Statistics is an applied field with a wide range of practical applications.
(2) You don't have to be a math guru to learn from interesting, real data.
(3) Data are messy, and statistical tools are imperfect. However, when you understand the strengths and weaknesses of these tools, you can use them to learn interesting things about the world.
These are lecture notes for cs427 at Oregon State University, an introductory …
These are lecture notes for cs427 at Oregon State University, an introductory course in cryptography at the advanced undergraduate level. By reading and studying these notes, you should expect to learn how to:
*State and interpret the standard formal definitions for the most common cryptographic security properties (privacy and authentication). *Formally prove security properties of sound cryptographic constructions, and break the security of unsound ones. *Choose the appropriate cryptographic primitive for a task (block ciphers, hash functions, MACs, public-key encryption, etc.) while avoiding common pitfalls. *Along the way, you will also learn how the most common cryptographic constructions work.
Learning Statistics with JASP is a free textbook covering the basics of …
Learning Statistics with JASP is a free textbook covering the basics of statistical inference for beginners in psychology and related applied disciplines. It uses the free software package JASP. Written in a lively, conversational style, it provides the reader with a perfect balance of readability and rigor, and gives students a modern view of statistical inference in the psychological and behavioral sciences.
Learning Statistics with R covers the contents of an introductory statistics class, …
Learning Statistics with R covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software. The book discusses how to get started in R as well as giving an introduction to data manipulation and writing scripts.
This is a first draft of a free (as in speech, not …
This is a first draft of a free (as in speech, not as in beer, [Sta02]) (although it is free as in beer as well) textbook for a one-semester, undergraduate statistics course. It was used for Math 156 at Colorado State University–Pueblo in the spring semester of 2017.
How to Tell the Truth with Statistics Short Description: A short and …
How to Tell the Truth with Statistics
Short Description: A short and friendly introduction to the basics of how to think about, collect, and interpret data in order to answer questions about the world we live in and to advance our understanding of a range of subjects studied at university, to be used in support of a one-semester statistics class.
Word Count: 3134
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Linear Algebra is a text for a first US undergraduate Linear Algebra …
Linear Algebra is a text for a first US undergraduate Linear Algebra course. It is Free. You can use it as a main text, as a supplement, or for independent study.
We believe the entire book can be taught in twenty five 50-minute …
We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.
This is a book on linear algebra and matrix theory. While it …
This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however.
This book features an ugly, elementary, and complete treatment of determinants early in the book. Thus it might be considered as Linear algebra done wrong. I have done this because of the usefulness of determinants. However, all major topics are also presented in an alternative manner which is independent of determinants.
The book has an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. The presentation here emphasizes the reasons why they work. It does not discuss many important numerical considerations necessary to use the methods effectively. These considerations are found in numerical analysis texts.
After being traditionally published for many years, this formidable text by W. …
After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.
Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.
The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).
An adaptation for MAT223 UTM Short Description: This open textbook is an …
An adaptation for MAT223 UTM
Short Description: This open textbook is an adaptation of Linear Algebra with Applications by W. Keith Nicholson. The original book can be found and downloaded from Lyryx.com. Five topics are covered here: system of linear equations, matrix algebra, determinants and diagonalization, vector geometry and vector space. It's suitable for beginners who are interested in learning linear algebra. Readers will have the opportunity to work through H5P elements embedded in every chapter to check their understanding of core concepts on their own.
Word Count: 53792
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An open textbook for MATH502 Short Description: A General Education textbook for …
An open textbook for MATH502
Short Description: A General Education textbook for mathematics.
Long Description: Long Description – text goes here.
Word Count: 90029
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This award-winning text carefully leads the student through the basic topics of …
This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.
This textbook attempts to provide you with an overview of the commonly …
This textbook attempts to provide you with an overview of the commonly used basic mathematical models, as well as a wide range of applications. It offers a perspective that brings you back to the modeling process and the assumptions that go into it.
Mathematical Reasoning: Writing and Proof is designed to be a text for …
Mathematical Reasoning: Writing and Proof is designed to be a text for the first 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.
Mathematical Reasoning: Writing and Proof is a text for the first college …
Mathematical Reasoning: Writing and Proof is a text for the first college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. Version 3 of this book is almost identical to Version 2.1. The main change is that the preview activities in Version 2.1 have been renamed to beginning activities in Version 3. This was done to emphasize that these activities are meant to be completed before starting the rest of the section and are not just a short preview of what is to come in the rest of the section.
Word Count: 27961 (Note: This resource's metadata has been created automatically by …
Word Count: 27961
(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.)
Mathematics for Biomedical Physics is an open textbook, published by the Wayne …
Mathematics for Biomedical Physics is an open textbook, published by the Wayne State University Library System, geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine.
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