This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing.

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).

The Massachusetts Institute of Technology (MIT) OpenCourseWare (OCW) is a free and open educational resource for faculty, students, and self-learners around the world. OCW is a publication of MIT course materials both from the undergraduate and graduate levels. It does not require any registration, is not a degree-granting or certificate-granting activity, and does not provide access to MIT faculty. The course sites often contain lecture notes, problem sets, readings, assignments, exams, study materials, and other resources. Open courseware is available on a variety of subjects, including Earth, atmospheric, and planetary sciences, and can be used for self-study or curriculum development.

The Massachusetts Institute of Technology, with funding from the William and Flora Hewlett Foundation, the Andrew W. Mellon Foundation, and MIT, has launched this "large-scale, Web-based electronic publishing initiative." The website posts lecture notes, problem sets, and other materials from courses across the MIT campus. This section highlights MIT's undergraduate and graduate program in Mathematics. Courses are listed by title and include topics such as Differential Analysis, Linear Algebra, and Statistical Inference. The materials serve as valuable resources for educators, students, or anyone interested in learning more about these topics.

This course provides techniques of effective presentation of mathematical material. Each section of this course is associated with a regular mathematics subject, and uses the material of that subject as a basis for written and oral presentations. The section presented here is on chaotic dynamical systems.

Mathematics is really about proving general statements via arguments, usually called proofs. We start with some given conditions, the premises of our argument, and from these we find a consequence of interest, our conclusion. The problem is, as you no doubt know from arguing with friends, not all arguments are good arguments. A “bad” argument is one in which the conclusion does not follow from the premises, i.e., the conclusion is not a consequence of the premises. Logic is the study of what makes an argument good or bad. Mathematical logic is the subfield of philosophical logic devoted to logical systems that have been sufficiently formalized for mathematical study.

Includes following books:
Book: Friendly Introduction to Mathematical Logic (Leary & Kristiansen)
Book: Mathematical Reasoning - Writing and Proof (Sundstrom)
Book: Book of Proof (Hammack)

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.

This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It introduces large sample theory, asymptotic efficiency of estimates, exponential families, and sequential analysis.

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.

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.

The Mathematics of Nutrition Science is a workbook designed to integrate and contextualize developmental mathematics into an introductory college level Nutrition class. Definitions and skills from Community College Level Elementary Algebra and Quantitative Literacy courses are explained through examples analyzing the nutritional content of different foods. The book contains exercises for students to practice these skills, and also to reflect on the concepts through short writing assignments aligned with developmental English. These materials could be used by Nutrition course instructor in many different ways, and are designed to be self-contained and require minimal mathematical instruction.

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).

We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.

Lebesgue's integration theory with applications to analysis, including an introduction to convolution and the Fourier transform.

Modelling is about understanding the nature: our world, ourselves and our work. Everything that we observe has a cause (typically several) and has the effect thereof. The heart of modelling lies in identifying, understanding and quantifying these cause-and-effect relationships.

A model can be treated as a (selective) representation of a system. We create the model by defining a mapping from the system space to the model space, thus we can map system state and behaviour to model state and behaviour. By defining the inverse mapping, we may map results from the study of the model back to the system. In this course, using an overarching modelling paradigm, students will become familiar with several instances of modelling, e.g., mechanics, thermal dynamics, fluid mechanics, etc.

Introduces the concepts and applications of navigation techniques using celestial bodies and satellite positioning systems such as the Global Positioning System (GPS). Topics include astronomical observations, radio navigation systems, the relationship between conventional navigation results and those obtained from GPS, and the effects of the security systems, Selective Availability, and anti-spoofing on GPS results. Laboratory sessions cover the use of sextants, astronomical telescopes, and field use of GPS. Application areas covered include ship, automobile, and aircraft navigation and positioning, including very precise positioning applications.

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.

Deze cursus bestaat uit lesmodules te gebruiken in de bovenbouw van het Havo en het VWO met als onderwerp Optimaliseren in netwerken. Het materiaal is gemaakt door een kerngroep van vwo-docenten, aangevuld met universitaire medewerkers. Docenten kunnen er invulling mee geven aan het domein "Wiskunde in wetenschap" van het vak wiskunde D.