This book was developed at Simon Fraser University for an upper-level physics course. Along with a careful exposition of electricity and magnetism, it devotes a chapter to ferromagnets. According to the course description, the topics covered were “electromagnetics, magnetostatics, waves, transmission lines, wave guides,antennas, and radiating systems.”

Table of Contents:

Chapter 1: Algebra Review
Introduction to Algebra Review
Section 1.1 Functions
Section 1.2 Operations on Functions
Section 1.3 Linear Functions
Section 1.4 Exponents
Section 1.5 Quadratics
Section 1.6 Polynomials and Rational Functions
Section 1.7 Exponential Functions
Section 1.8: Logarithmic Functions
Chapter 1 Review Exercises
Chapter 1 Review Problems

Chapter 2: Limits and The Derivative
Introduction to Limits
Section 2.1: Limits and Continuity
Introduction to the Derivative
Section 2.2: The Derivative
Section 2.3: The Power and Sum Rules for Derivatives
Section 2.4: Product and Quotient Rules
Section 2.5: Chain Rule
Section 2.6: Second Derivative and Concavity
Chapter 2 Review Exercises: Limits
Chapter 2 Review Exercises: The Derivative
Chapter 2 Review Problems

Chapter 3: Applications of the Derivative
Introduction to Applications of the Derivative
Section 3.1: Optimization
Section 3.2: Curve Sketching
Section 3.3: Applied Optimization
Section 3.4: Other Applications
Section 3.5: Implicit Differentiation and Related Rates
Chapter 3 Review Exercises
Chapter 3 Review Problems
Chapter 3 Solutions to Review Problems

Chapter 4: The Integral
Introduction to the Integral
Section 4.1: The Definite Integral
Section 4.2: The Fundamental Theorem and Antidifferentiation
Section 4.3: Antiderivatives of Formulas
Section 4.4: Substitution
Section 4.5: Average Value and the Net Change Theorem
Section 4.6: Applications to Business
Chapter 4 Review Exercises
Chapter 4 Review Problems

This textbook was created through Connecting the Pipeline: Libraries, OER, and Dual Enrollment from Secondary to Postsecondary, a $1.3 million project funded by LOUIS: The Louisiana Library Network and the Institute of Library and Museum Services. This project supports the extension of access to high-quality post-secondary opportunities to high school students across Louisiana and beyond by creating materials that can be adopted for dual enrollment environments. Dual enrollment is the opportunity for a student to be enrolled in high school and college at the same time.

The cohort-developed OER course materials are released under a license that permits their free use, reuse, modification and sharing with others. This includes a corresponding course available in Moodle and Canvas that can be imported to other platforms.

Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

Applied Combinatorics is an open-source textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics.
Applied Combinatorics began its life as a set of course notes we developed when Mitch was a TA for a larger than usual section of Tom’s MATH 3012: Applied Combinatorics course at Georgia Tech in Spring Semester 2006. Since then, the material has been greatly expanded and exercises have been added. The text has been in use for most MATH 3012 sections at Georgia Tech for several years now. Since the text has been available online for free, it has also been adopted at a number of other institutions for a wide variety of courses. In August 2016, we made the first release of Applied Combinatorics in HTML format, thanks to a conversion of the book’s source from LaTeX to MathBook XML. An inexpensive print-on-demand version is also available for purchase. Find out all about ways to get the book.

Since Fall 2016, Applied Combinatorics has been on the list of approved open textbooks from the American Institute of Mathematics.

Applied Combinatorics is an open-source textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics.
Applied Combinatorics began its life as a set of course notes we developed when Mitch was a TA for a larger than usual section of Tom’s MATH 3012: Applied Combinatorics course at Georgia Tech in Spring Semester 2006. Since then, the material has been greatly expanded and exercises have been added. The text has been in use for most MATH 3012 sections at Georgia Tech for several years now. Since the text has been available online for free, it has also been adopted at a number of other institutions for a wide variety of courses.

Since Fall 2016, Applied Combinatorics has been on the list of approved open textbooks from the American Institute of Mathematics.

Access also available here: http://www.rellek.net/appcomb/

Table of Contents
1. An Introduction to Combinatorics
2. Strings, Sets and Binomial Coefficients
3. Induction
4. Combinatorial Basics
5. Graph Theory
6. Partially Ordered Sets
7. Inclusion-Exclusion
8. Generating Functions
9. Recurrence Equations
10. Probability
11. Applying Probability to Combinatorics
12. Graph Algorithms
13. Network Flows
14. Combinatorial Applications of Network Flows
15. Polya's Enumeration Theorem
16. The Many Faces of Combinatorics
A. Epilogue
B. Background Material for Combinatorics
C. List of Notation

This textbook provides a toolbox, a guidebook, and an instruction manual for researchers and interventionists who want to conceptualize and study applied problems from a developmental systems perspective, and for those who want to teach their graduate (or advanced undergraduate) students how to do this. It is designed to be useful to practitioners who focus on applied developmental problems, such as improving the important developmental contexts where people live, learn, and work, including the applied professions in education, social work, counseling, health care, community development, and business, all of which at their core are concerned with optimizing the development of their students, clients, patients, workers, citizens, and others whose lives they touch.

The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics.

To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs.

Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete.

The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words.

An Instructor's Guide is available to any instructor who uses the text.

The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics.

To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs.

Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete.

The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words.

An Instructor's Guide is available to any instructor who uses the text.

Table of Contents
1 Set Theory
2 Combinatorics
3 Logic
4 More on Sets
5 Introduction to Matrix Algebra
6 Relations and Graphs
7 Functions
8 Recursion and Recurrence Relations
9 Graph Theory
10 Trees
11 Algebraic Systems
12 More Matrix Algebra
13 Boolean Algebra
14 Monoids and Automata
15 Group Theory and Applications
16 An Introduction to Rings and Fields

Applied ecology is a framework for the application of knowledge about ecosystems so that actions can be taken to create a better balance and harmony between people and nature in order to reduce human impact on other beings and their habitats.

The text covered a comprehensive extent of topics; ranging from introductory topics of linear equations to more advanced topics such as Game Theory.

This is a review of Applied Finite Mathematics by De Anza College Cupertino (https://louis.oercommons.org/courses/applied-finite-mathematics) completed by Jared Eusea, Assistant Professor of Mathematics at RPCC.

This lab manual provides students with the theory, practical applications, objectives, and laboratory procedure of ten experiments. The manual also includes educational videos showing how student should run each experiment and a workbook for organizing data collected in the lab and preparing result tables and charts.

This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired.

In addition to an introduction to the essential features of basic probability in terms of a precise mathematical model, the work describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability. This should make the work useful as a stand-alone exposition as well as a supplement to any of several current textbooks.

Most of the programs developed here were written in earlier versions of MATLAB, but have been revised slightly to make them quite compatible with MATLAB 7. In a few cases, alternate implementations are available in the Statistics Toolbox, but are implemented here directly from the basic MATLAB program, so that students need only that program (and the symbolic mathematics toolbox, if they desire its aid in evaluating integrals).

Since machine methods require precise formulation of problems in appropriate mathematical form, it is necessary to provide some supplementary analytical material, principally the so-called minterm analysis. This material is not only important for computational purposes, but is also useful in displaying some of the structure of the relationships among events.

Table of Contents
1 Preface
2 Probability Systems
3 Minterm Analysis
4 Conditional Probability
5 Independence of Events
6 Conditional Independence
7 Random Variables and Probabilities
8 Distribution and Density Functions
9 Random Vectors and joint Distributions
10 Independent Classes of Random Variables
11 Functions of Random Variables
12 Mathematical Expectation
13 Variance, Covariance, Linear Regression
14 Transform Methods
15 Conditional Expectation, Regression
16 Random Selection
17 Conditional Independence, Given a Random Vector
18 Appendices

This algebra-based text is designed specifically for Engineering Technology students, using both SI and US Customary units. All example problems are fully worked out with unit conversions. Unlike most textbooks, this one is updated each semester using student comments, with an average of 80 changes per edition.

Find the most current version here: http://www.etcs.pfw.edu/~dupenb/ET_200/StrengthOfMatHome.html

Table of Contents:

Chapter 1: Introduction to Strength of Materials
Chapter 2: Stress and Strain
Chapter 3: Poisson's Ratio and Thermal Expansion
Chapter 4: Pressure Vessels and Stress Concentrations
Chapter 5: Bolted and Welded Joints
Chapter 6: Properties of Areas
Chapter 7: Torsion in Round Shafts
Chapter 8: Beam Reactions, Shear Diagrams, and Moment Diagrams
Chapter 9: Stresses in Beams
Chapter 10: Beam Deflection
Chapter 11: Beam Design
Chapter 12: Combined Stresses
Chapter 13: Statically Indeterminate Beams
Chapter 14: Buckling of Columns
Chapter 15: Visualizing Stress and Strain
Chapter 16: What it All Means

Este libro está dirigido, principalmente, a Estudiantes y Docentes que quieren aprender a programar como forma de fortalecer sus capacidades cognoscitivas y así obtener un beneficio adicional de su computador para lograr un mejor provecho de sus estudios. Dada la orientación del libro respecto a programar para resolver problemas asociados a las Ciencias e Ingenierías, el requisito mínimo de matemáticas que hemos elegido para presentar el contenido del mismo se cubre, normalmente, en el tercer año del bachillerato. No obstante, el requisito no es obligatorio para leer el libro en su totalidad y adquirir los conocimientos de programación obviando el contenido matemático.

Marx, en 1884, define el término trabajo cooperativo como “múltiples individuos trabajando juntos de una manera planificada en un mismo proceso de producción o en procesos de producción diferentes pero conectados” [MAR84]. Por otro lado, se afirma que un trabajo cooperativo “está formado por procesos de trabajo relacionados. Cada proceso genera ciertas tareas a ser desarrolladas por los miembros del equipo de trabajo para el cumplimiento de los objetivos” [COR04]. Bannon y Schmidt establecen que hay muchas formas de trabajo cooperativo, por ejemplo: trabajo colaborativo, trabajo colectivo, trabajo coordinado, y trabajo de articulación [BAN89a].

Written as events unfolded, this edited collection of articles offers insightful and diverse perspectives on the Arab uprising, and expands to consider related political unrest outside the predominantly Arab world.

For the communications course Argumentation or Argumentation and Debate.

There is a quote that has been passed down many years and is most recently accounted to P.T. Barnum, “There is a sucker born every minute.” Are you that sucker? If you were, would you like to be “reborn?” The goal of this book is to help you through that “birthing” process. Critical thinking and standing up for your ideas and making decisions are important in both your personal and professional life. How good are we at making the decision to marry? According to the Centers for Disease Control, there is one divorce in America every 36 seconds. That is nearly 2,400 every day. And professionally, the Wall Street Journal predicts the average person will have 7 careers in their lifetime. Critical thinking skills are crucial.

Critical thinking is a series learned skills. In each chapter of this book you will find a variety of skills that will help you improve your thinking and argumentative ability. As you improve, you will grow into a more confident person being more in charge of your world and the decisions you make.

Word version: https://asccc-oeri.org/wp-content/uploads/2020/06/Arguing-Using-Critical-Thinking-Word.docx

PDF: https://asccc-oeri.org/wp-content/uploads/2020/06/Arguing-Using-Critical-Thinking-PDF.pdf

Table of Contents
1: Standing Up For Your Point Of View
2: Communicating An Argument
3: Clash
4: Claims
5: Building Your Case With Issues, Analysis And Contentions
6: Evidence
7: Reasoning
8: Validity Or Truth
9: Changing Beliefs, Attitudes and Behavior
10: Decision Making - Judging an Argument
11: Discovering, Examining and Improving Our Reality
12: The Foundations of Critical Thinking

There is a quote that has been passed down many years and is most recently accounted to P.T. Barnum, “There is a sucker born every minute.” Are you that sucker? If you were, would you like to be “reborn?” The goal of this book is to help you through that “birthing” process. Critical thinking and standing up for your ideas and making decisions are important in both your personal and professional life. How good are we at making the decision to marry? According to the Centers for Disease Control, there is one divorce in America every 36 seconds. That is nearly 2,400 every day. And professionally, the Wall Street Journal predicts the average person will have 7 careers in their lifetime. Critical thinking skills are crucial.