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.

Develops facility with concepts, language, and analytical tools of economics. Covers microeconomics, macroeconomics, and international trade and payments. Emphasizes integration of theory, data, and judgment in the analysis of corporate decisions and public policy, and in the assessment of changing US and international business environments. Restricted to Sloan Fellows. The fact of scarcity forces individuals, firms, and societies to choose among alternative uses -- or allocations -- of its limited resources. Accordingly, the first part of this summer course seeks to understand how economists model the choice process of individual consumers and firms, and how markets work to coordinate these choices. It also examines how well markets perform this function using the economist's criterion of market efficiency. Overall, this course focuses on microeconomics, with some topics from macroeconomics and international trade. It emphasizes the integration of theory, data, and judgment in the analysis of corporate decisions and public policy, and in the assessment of changing U.S. and international business environments.

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 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.

Covers experiments:
Experiment #1: Hydrostatic Pressure
Experiment #2: Bernoulli's Theorem Demonstration
Experiment #3: Energy Loss in Pipe Fittings
Experiment #4: Energy Loss in Pipes
Experiment #5: Impact of a Jet
Experiment #6: Orifice and Free Jet Flow
Experiment #7: Osborne Reynolds' Demonstration
Experiment #8: Free and Forced Vortices
Experiment #9: Flow Over Weirs
Experiment #10: Pump

Laszlo Tisza was Professor of Physics Emeritus at MIT, where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Algebra" taught by Professor Tisza in the Spring of 1976. Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems. The lecture notes came to MIT OpenCourseWare by way of Samuel Gasster, '77 (Course 18), who had taken the course and kept a copy of the lecture notes for his own reference. He dedicated dozens of hours of his own time to convert the typewritten notes into LaTeX files and then publication-ready PDFs. You can read about his motivation for wanting to see these notes published in his Preface below. Professor Tisza kindly gave his permission to make these notes available on MIT OpenCourseWare.

Applied Macro- and International Economics uses case studies to investigate the macroeconomic environment in which firms operate. The first half of the course develops the basic tools of macroeconomic management: monetary, fiscal, and exchange rate policy. The class discusses recent emerging market and financial crises by examining their causes and considering how best to address them and prevent them from recurring in the future. The second half evaluates different strategies of economic development. Topics covered in the second half of this course include growth, the role of debt and foreign aid, and the reliance on natural resources.

Fundamentals of nuclear physics for engineering students. Basic properties of the nucleus and nuclear radiations. Elementary quantum mechanical calculations of bound-state energies and barrier transmission probability. Binding energy and nuclear stability. Interactions of charged particles, neutrons, and gamma rays with matter. Radioactive decays. Energetics and general cross-section behavior in nuclear reactions.

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

I designed the course for graduate students who use statistics in their research, plan to use statistics, or need to interpret statistical analyses performed by others. The primary audience are graduate students in the environmental sciences, but the course should benefit just about anyone who is in graduate school in the natural sciences. The course is not designed for those who want a simple overview of statistics; we’ll learn by analyzing real data. This course or equivalent is required for UMB Biology and EEOS Ph.D. students. It is a recommended course for several of the intercampus graduate school of marine science program options.

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

In this jigsaw-method activity on subduction zone volcanism, students apply lessons learned from four historic eruptions to the volcanic hazards associated with Mt. Rainier in the Pacific Northwest.

Do you want to get more out of your reading? This unit is designed to develop the analytical skills you need for a more in-depth study of literary texts. You will learn about narrative events and perspectives, the setting of novels, types of characterisation and genre.

This is a review by Ginger Jones, of LSU Alexandria of Approaching Prose Fiction https://louis.oercommons.org/courses/approaching-prose-fiction This rubric was developed by BCcampus. This work is licensed under a Creative Commons Attribution 3.0 Unported license.

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].

This course details the quantitative treatment of chemical processes in aquatic systems such as lakes, oceans, rivers, estuaries, groundwaters, and wastewaters. It includes a brief review of chemical thermodynamics that is followed by discussion of acid-base, precipitation-dissolution, coordination, and reduction-oxidation reactions. Emphasis is on equilibrium calculations as a tool for understanding the variables that govern the chemical composition of aquatic systems and the fate of inorganic pollutants.

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.