This is a focused collection of notes for a course in precalculus math taught at San Jacinto College (Houston, Texas). In less than 260 pages, the course offers a compact delivery of the core concepts that students ought to understand prior to taking calculus. In addition to learning algebraic and computational skills, the course is designed for learning how to think mathematically. The chapters on mathematical language and problem-solving highlight this latter objective.

This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.

This resource contains 95 multiple choice quiz questions inspired by Examples in the 12 chapters of University Physics Volume 2 Unit 2: Electricity and Magnetism. The quizzes have randomized numerical values, and can be printed out in two versions for students sitting side-by-side in a classroom. The current configuration creates 3-question quizzes. A study guide leads students to a practice quiz for each chapter. The number of questions in the study guide ranges from 4 to 11. The small number of questions in certain chapters does not imply that these chapters are less important -- not all examples make for good multiple choice test questions that involve numerical calculations. After this system has been field tested, more questions can be added where needed. Conceptual questions can also be added.

The selection of 3 questions from a given chapter was achieved by a random number generator. For this reason, the question selections might be less than ideal. These quizzes are not intended to have a large impact on the students' grade, but instead to encourage students to *read the textbook*. Also, since instructors know the contents of the quizzes in advance, they can compensate for idiosyncratic question selection as they prep students for the quiz.

The advantage of this system is that it is extremely convenient for instructors to use the browser's "print" option to print and distribute a quiz to the students. The disadvantage is that students and instructor have equal access to everything. Fortunately we can "hide the quizzes in plain sight". The current configuration provides 20 "renditions" of each quiz, and only the instructor knows which is selected.

The transparent nature of this unorthodox system has some advantages: Traditional methods of hiding the content of upcoming classroom exams are plagued by the fact that it is difficult to keep information secret. Instructors who use the same or similar exams for consecutive years will discover that students begin to exchange information with each other between semesters. An even more intractable problem is that testbank questions can be purchased on the internet. In this regard, the OER efforts might gain advantage over commercial ventures that sell text questions to instructors or students. The legitimate vendors (who sell to instructors) attempt to solve the "secrecy" problem by continuously modifying the textbooks, exams, and other ancillary materials. While all this ensures future revenues for the vendors, it also perpetuates costs for students.

In contrast, there is no need to modify an OER textbook by artificially creating a "new" edition. In fact, it is my experience that OER are created at a painfully slow pace, so it is unlikely that OER materials could evolve even if we wanted them to. This relatively "static" nature of OER textbooks suggests that the exams and homework problems be also "static". Instead of asking students to solve a homework problem at home, they should be quizzed on their ability to solve a problem whose solution is readily available online. Unfortunately all this tends to reduce the quality of lessons to that of rote memorization. So instead of finding interesting homework problems for which there is not solution available on the internet, we should task students with creating new homework problems and test questions. Those with less ability can be tasked with improving the posted solutions to problems that have already been solved.

This report shares the results of an OER Gap Analysis completed by the Institute for the Study of Knowledge Management in Education (ISKME) for the Texas Higher Education Coordinating Board (THECB). The analysis identified free, openly licensed full courses and textbooks for 25 highly transferable, high-enrollment courses required for two-year or four-year degree paths in high-wage/high-demand fields. Most courses selected for the scan are also Texas Core Curriculum courses. Texas high-wage/high-demand fields were identified using data from the Texas Workforce Commission and included nursing, business, accounting, computer science, engineering, and health administration. The following courses needed for multiple degree paths in these fields were selected for the scan:Science: Anatomy and Physiology I and II; Biology I; Chemistry I; Physics IMath: College Algebra; Elementary Statistical Methods; Pre-Calculus; Calculus I; Calculus IISocial Sciences: Texas Government; Federal Government; General Psychology; Introduction to Sociology; Principles of Macroeconomics, Principles of MicroeconomicsHumanities: US History I and II; Introduction to Ethics; Introduction to Philosophy; Public Speaking; Composition I; Composition IIBusiness: Business Computer Applications; Principles of Finance

The modules posted below aim to provide digital resources for students and instructors. Providing students on-demand digital, multimedia, open-access resources which can be watched repeatedly at convenient times can serve as one path to improving student success in introductory physics courses The modules have been created for each topic covered in calculus-based introductory physics courses. Each module includes:Videos reviewing the laws and concepts, and videos with step-by-step problem solving providing students with additional aid in learning the material. (i) Review Videos summarize major topics after students had encountered them in class and highlight their application to common and significant problems. This resource incorporates explanations, derivations, and demonstrations to illustrate a concept; (ii) Problem-Solving Videos present detailed solutions to multi-step questions which students might encounter when working through textbook problems or on major summative assessments. This in-depth approach was structured to guide students in improving their problem-solving skills and techniques, as well as address common mistakes. More than one hundred videos have been created for different types of learners. This is a resource for both students and instructors.Textbook-independent homework problem sets that could be implemented via LMS. The homework has a mix of multiple-choice and free-response problems aiming to develop student critical thinking. Detailed solutions to all problems are provided so that the students can compare their results with the solution, or an instructor can understand what was intended for the solution if modification of the problem is desired. This is a resource for both instructors and students. Video demonstration experiments for each topic that will allow the instructors around the State of Texas to bring physics experiments to their classrooms (instructor resource). The videos merely show the experiment taking place without any explanation of the underlying physics. This gives the instructor complete freedom to tailor the explanation to their class. A text with a brief description of the experiments is provided. 

A mixture of multiple-choice and free-response problems aimed at developing critical thinking. Detailed solutions to all problems are provided.

Problem-Solving Videos present detailed solutions to multi-step questions. These videos are structured to improve problem-solving skills.

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

These open-source mathematics homework problems are programmed for the WeBWorK mathematics platform and correspond to chapters in OpenStax Calculus Volume I. They were created through a Round Eight Textbook Transformation Grant.

An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.

I intend this book to be, firstly, a introduction to calculus based on the hyperreal number system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such as Abraham Robinson's Non-standard Analysis or Robert Goldblatt's Lectures on the Hyperreals. Secondly, I have aimed the text primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most of those without some acquaintance with the basic notions of calculus.