" This class explores the creation (and creativity) of the modern scientific and cultural world through study of western Europe in the 17th century, the age of Descartes and Newton, Shakespeare, Milton and Ford. It compares period thinking to present-day debates about the scientific method, art, religion, and society. This team-taught, interdisciplinary subject draws on a wide range of literary, dramatic, historical, and scientific texts and images, and involves theatrical experimentation as well as reading, writing, researching and conversing. The primary theme of the class is to explore how England in the mid-seventeenth century became "a world turned upside down" by the new ideas and upheavals in religion, politics, and philosophy, ideas that would shape our modern world. Paying special attention to the "theatricality" of the new models and perspectives afforded by scientific experimentation, the class will read plays by Shakespeare, Tate, Brecht, Ford, Churchill, and Kushner, as well as primary and secondary texts from a wide range of disciplines. Students will also compose and perform in scenes based on that material."

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.

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.

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.

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 for the People is a new approach to teaching Quantitative Literacy to students outside of traditional STEM fields. By leading with social justice topics, Math for the People seeks to introduce students first to the problems we want to solve, and then introduce the mathematics we can use to understand them. The textbook is intended for a college freshman level course in quantitative literacy at a two or four-year postsecondary institution. This course would fulfill a terminal mathematics requirement for students whose degree programs do not require any further mathematics.

Math in Society is a free, open textbook. This book is a survey of 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. 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.

Lab and Homework Site available through Lumens OHM but requires an access code.

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

The Middle Childhood Math Education course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in October 2019. Team LeadBradford Findell                                Ohio State UniversityContent ContributorsVictor Ferdinand                               Ohio State UniversityHea-Jin Lee                                      Ohio State University LimaJenny Sheldon                                  Ohio State UniversityBart Snapp                                       Ohio State UniversityRajeev Swami                                  Central State UniversityRon Zielker                                       Ohio Dominican UniversityLibrarianCarolyn Sanders                               Central State UniversityReview TeamAlice Taylor                                       University of Rio Grande

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.

This Flash based applet simulates data from a case study of treatments for tumor growth in mice. This simulation allows the user to place mice into a control and treatment groups.

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.

Ordinary Differential Equations course developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in December 2019. The course is part of the Ohio Transfer Module and is also named TMM 020. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadAnna Davis                                         Ohio Dominican UniversityContent ContributorsJustin Greenly                                      Franciscan University of SteubenvilleFelipe L. Martins                                  Cleveland State UniversityPaul Zachlin                                       Lakeland Community CollegeLibrarianDaniel Dotson                                    Ohio State University                     Review TeamEmi Arima                                        Columbus State Community College

The applets in this section of Statistical Java address Power. Users can perform one or two tailed tests for proportions or means for one or two samples. Set the parameters and drag the mouse across the graph to see how effect size affects power.

The Pre-Calculus course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in September 2019. The course is part of the Ohio Transfer Module and is also named TMM002. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadKameswarrao Casukhela                   Ohio State University LimaContent ContributorsLuiz Felipe Martins                             Cleveland State UniversityIeda Rodrigues                                   Cleveland State UniversityTeri Thomas                                        Stark State CollegeLibrarianDaniel Dotson                                     Ohio State University                     Review TeamAlice Taylor                                        University of Rio GrandeRita Ralph                                          Columbus State Community College

Sine and Cosine Functions - amplitude, period, phase-shift, sinusoidal functions, periodic functionsTMM 002 PRECALCULUS (Revised March 21, 2017)1. Functions: 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*