The goal of this book is to provide a basic understanding of mathematics at an intro to college level. The book is designed to go along with a course of Intro to College Math for those pursuing Nursing AAS or similar programs. It is also designed as a refresher for adult students going back into the classroom. The course is divided into four main sections: Arithmetic, Geometry, Algebra, and Statistics/Probability. This book is an expanded form of my lecture notes and includes extra explanations, examples, and practice. Solutions to practice sets are at the back of the book.
The goal of this book is to provide a basic understanding of mathematics at an intro to college level. The book is designed to go along with a course of Intro to College Math for those pursuing Nursing AAS or similar programs. It is also designed as a refresher for adult students going back into the math classroom. The course is divided into four main sections: Arithmetic, Geometry, Algebra, and Statistics/Probability. This covers the basics. Adding, subtracting, multiplying, and dividing with decimals and fractions. It also discusses problems with percents, fractions, and proportions in algebraic and real-world contexts. Then we delve into some basic geometry problems. We will look at the basics of what is usually covered in an Algebra I course in high school: substitution, solving equations, solving inequalities, graphing lines, solving systems. And finally, end in how to interpret data and graphs with some descriptive statistics and probability. This book is an expanded form of my lecture notes and includes extra explanations, examples, and practice. If you get stuck with the practice or just want to check your answers, then check with BOB. Solutions to practice sets are at the Back Of the Book. Throughout the book you will also find GRAPHING CALCULATOR HELP sections which will guide you through using a TI-84 series graphing calculator.This second edition consists of major revisions, including additional content, problems, appendices with tables and formulas
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
"Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.
Introductory College Mathematics: With Linear Algebra and Finite Mathematics is an introduction to college mathematics, with emphasis on linear algebra and finite mathematics. It aims to provide a working knowledge of basic functions (polynomial, rational, exponential, logarithmic, and trigonometric); graphing techniques and the numerical aspects and applications of functions; two- and three-dimensional vector methods; the fundamental ideas of linear algebra; and complex numbers, elementary combinatorics, the binomial theorem, and mathematical induction. Comprised of 15 chapters, this book begins with a discussion on functions and graphs, paying particular attention to quantities measured in the real number system. The next chapter deals with linear and quadratic functions as well as some of their applications. Tips on graphing are offered. Subsequent chapters focus on polynomial functions, along with graphs of factored polynomials; rational functions; exponential and logarithm functions; and trigonometric functions. Identities and inverse functions, vectors and matrices, and trigonometry are also explored, together with complex numbers, linear transformations, and the geometry of space. The book concludes by considering finite mathematics, with particular reference to mathematical induction and the binomial theorem. This monograph will be a useful resource for undergraduate students of mathematics and algebra.
The topics covered in this text are those usually covered in a full year's course in finite mathematics or mathematics for liberal arts students. They correspond very closely to the topics I have taught at Western New England College to freshmen business and liberal arts students. They include set theory, logic, matrices and determinants, functions and graph ing, basic differential and integral calculus, probability and statistics, and trigonometry. Because this is an introductory text, none of these topics is dealt with in great depth. The idea is to introduce the student to some of the basic concepts in mathematics along with some of their applications. I believe that this text is self-contained and can be used successfully by any college student who has completed at least two years of high school mathematics including one year of algebra. In addition, no previous knowledge of any programming language is necessary. The distinguishing feature of this text is that the student is given the opportunity to learn the mathematical concepts via A Programming Lan guage (APL). APL was developed by Kenneth E. Iverson while he was at Harvard University and was presented in a book by Dr. Iverson entitled A i Programming Language in 1962. He invented APL for educational purpo ses. That is, APL was designed to be a consistent, unambiguous, and powerful notation for communicating mathematical ideas. In 1966, APL became available on a time-sharing system at IBM.
Contents: A workbook containing 30 days of basic review exercises in preparation for college mathematics. Each daily section contains a short exercise set covering basic skills necessary to perform well in an introductory college math course. Focus has been placed on those skills which are difficult to retain without continued practice. The exercise collection in Part I is designed for skill enhancement in mathematics skills such as factoring, solving equations, understanding and using function notation, working with exponents and radicals, etc. Rather than being all-inclusive, the work strives to provide continued practice in the most fundamental skills necessary for successful college work. Daily work notes are provided in Part II that speak directly to the pertinent aspects of each day's exercise set. Brief and to the point, with examples when needed for clarity, these work notes add an extra dimension to help students stay on track and progress through the exercise sets. Part III contains a complete answer set. College students and their parents frequently discover that lack of college mathematical readiness requires an extra semester or even a year of college in order to earn a desired degree. A trend at colleges to attempt to remedy this situation is to offer on-campus "summer bridge" or "math boot camp" programs for entering students to alleviate this shortcoming. While effective, these programs are time-consuming and prohibitively costly for many students. In a similarly-designed approach, this workbook provides a cost-effective, self-study method to help students to stay current in mathematics and be prepared to "hit the ground running" when entering college. It is a worthy approach to help you or your child realize a successful start to a college career.
Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.
