Download or read book Solving Linear Equations written by Masroor Mohajerani and published by . This book was released on 2020-08-28 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides students the concepts of linear equations and solving algebraic linear equations with one variable. A step-by-step solution is provided for every example regarding one-step, two-step, and multi-step linear equations. This book is designed for grade 7 to 9 students and the variety of examples makes it a great source for students, teachers, and tutors.
Download or read book Algebra 1 Single Variable Linear Equations Workbook written by Norman Balason and published by . This book was released on 2021-04-11 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: DESCRIPTION The ALGEBRA 1 SINGLE VARIABLE LINEAR EQUATIONS WORKBOOK is a resource that students can use to practice applying the properties, concepts, and computational techniques that are used to solve one-step, two-step, three-step, and multiple-step single variable linear equations. This workbook contains examples of step-by-step solutions for these types of equations as reference for students. This workbook also contains a review of the Commutative Properties of Addition and Multiplication, Associative Properties of Addition and Multiplication, the Additive Inverse Property, the Multiplicative Inverse Property, the Subtraction Property, the Identity Properties of Addition and Multiplication, and the Distributive Property of Multiplication. Additionally, this workbook provides examples of equations that are conditional, an identity, and a contradiction. There are step-by-step solutions for every problem in this workbook. This enables students to verify their work and solutions, and correct any mistakes. If students adhere to this process diligently, they should develop confidence in their abilities to solve the types of singe variable linear equations. HOW TO USE THIS WORKBOOK As students work their way through the different types of equations in this workbook, they may find some of the equations a bit of a challenge to solve. This is intentional so students get practice in solving various complex problems. If they get stuck on a problem, they can take a quick look at the solutions for the next step in how to proceed. Then, they should go back to the problem and keep working on it until it's finished. Afterwards, they should check their work and answer. If students can do the majority of these challenging problems correctly on their own, they can feel a sense of accomplishment knowing that they solved difficult problems. Note: These problems will definitely improve their computational skills if they minimize their use of calculators. APPLICATION PROBLEMS This workbook contains a total of 147 problems. The last 37 problems are word problems; twelve which ask students to find a number under a given set of conditions. Some problems are percentage problems and distance problems. There is a pair of word problems where students are asked to convert temperature given in degrees Celsius to degrees Fahrenheit, and vice versa. There are other word problems where students have to determine how to use the information in the problem to substitute for one or multiple variables to reduce the equation to a single variable linear equation. ABOUT THE AUTHOR Norman Balason is a high school math teacher. He is in his 27th year of teaching high school math classes. During his teaching career he has taught Pre-Algebra, Algebra 1, Geometry, Algebra 2, and Pre-Calculus. Norman earned his B.A. in Mathematics from the University of Hawaii at Manoa, and a M.Ed. from Chaminade University of Honolulu. Norman is a Navy Veteran. He enlisted in the United States Navy upon graduating from high school. He worked 12-on, 12-off shifts seven days a week as an F-14 Tomcat plane captain (not a pilot) for the VF-41 Black Aces while they were out at sea on the great aircraft carrier U.S.S. Nimitz. He is proud to have served his country while traveling the world and developed life-long friendships through unforgettable experiences. Norman has Algebra 1 and Algebra 2 worksheets that are available on the Teachers Pay Teachers website at https://www.teacherspayteachers.com/Store/Ncbeez-Math-Class. Norman enjoys his free time reading biographies, listening to music, playing the guitar, watching finance and investing videos, and hanging out with family and friends.
Download or read book Linear Integral Equations written by William Vernon Lovitt and published by . This book was released on 1924 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Linear Algebra and Differential Equations written by John W. Dettman and published by Courier Corporation. This book was released on 2012-10-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Download or read book Linear Equations Workbook written by Maria Miller and published by . This book was released on 2017-01-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Equations Workbook presents the student with the basics of solving linear equations, including equations that involve a variable on both sides and equations that require the usage of the distributive property to eliminate parentheses. We also briefly study inequalities and graphing. This workbook best suits pre-algebra or grades 7 to 8 mathematics studies. The first lesson reviews the concept of an equation and how to model equations using a pan balance (scale). The basic principle for solving equations is that, when you perform the same operation on both sides of an equation, the two sides remain equal. The workbook presents two alternatives for keeping track of the operations to be performed on an equation. The one method, writing the operation under each side of the equation, is common in the United States. The other method, writing the operation in the right margin, is common in Finland. Either way is correct, and the choice is just a matter of the personal preference of the teacher. The introduction to solving equations is followed by a lesson on addition and subtraction equations and another on multiplication and division equations. All the equations are easily solved in only one step of calculations. The twofold goal is to make the student proficient in manipulating negative integers and also to lay a foundation for handling more involved equations that are studied later on in the workbook. In the next lesson, students write equations to solve simple word problems. Even though they could solve most of these problems without using the equations, the purpose of the lesson is to make the student proficient in writing simple equations before moving on to more complex equations from more difficult word problems. The next topic, in the lesson Constant Speed, is solving problems with distance (d), rate or velocity (v), and time (t). Students use the equivalent formulas d = vt and v = d/t to solve problems involving constant or average speed. They learn an easy way to remember the formula v = d/t from the unit for speed that they already know, "miles per hour." In later lessons, we delve deeper into our study of equations. Now the equations require two or more steps to solve and may contain parentheses. The variable may appear on both sides of the equation. Students will also write equations to solve simple word problems. There is also a lesson on patterns of growth, which may seem to be simply a fascinating topic, but in reality presents the fundamentals of a very important concept in algebra - that of linear functions (although they are not mentioned by that name) - and complements the study of lines in the subsequent lessons. After the section about equations, the text briefly presents the basics of inequalities and how to graph them on a number line. Students apply the principles for solving equations to solve simple inequalities and word problems that involve inequalities. The last major topic is graphing. Students begin the section by learning to graph linear equations and continue on to the concept of slope, which in informal terms is a measure of the inclination of a line. More formally, slope can be defined as the ratio of the change in y-values to the change in x-values. The final lesson applies graphing to the previously-studied concepts of speed, time, and distance through graphs of the equation d = vt in the coordinate plane.
Download or read book Handbook of Linear Partial Differential Equations for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2001-11-28 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with
Download or read book Elementary Differential Equations written by William E. Boyce and published by John Wiley & Sons. This book was released on 2017-08-14 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: With Wiley’s Enhanced E-Text, you get all the benefits of a downloadable, reflowable eBook with added resources to make your study time more effective, including: • Embedded & searchable equations, figures & tables • Math XML • Index with linked pages numbers for easy reference • Redrawn full color figures to allow for easier identification Elementary Differential Equations, 11th Edition is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two ] or three ] semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
Download or read book Linear Algebra written by Georgi? Evgen?evich Shilov and published by Courier Corporation. This book was released on 1977-06-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.
Download or read book Linear Algebra Problem Book written by Paul R. Halmos and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
Download or read book Convergence of Iterations for Linear Equations written by Olavi Nevanlinna and published by Birkhäuser. This book was released on 2012-12-06 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assume that after preconditioning we are given a fixed point problem x = Lx + f (*) where L is a bounded linear operator which is not assumed to be symmetric and f is a given vector. The book discusses the convergence of Krylov subspace methods for solving fixed point problems (*), and focuses on the dynamical aspects of the iteration processes. For example, there are many similarities between the evolution of a Krylov subspace process and that of linear operator semigroups, in particular in the beginning of the iteration. A lifespan of an iteration might typically start with a fast but slowing phase. Such a behavior is sublinear in nature, and is essentially independent of whether the problem is singular or not. Then, for nonsingular problems, the iteration might run with a linear speed before a possible superlinear phase. All these phases are based on different mathematical mechanisms which the book outlines. The goal is to know how to precondition effectively, both in the case of "numerical linear algebra" (where one usually thinks of first fixing a finite dimensional problem to be solved) and in function spaces where the "preconditioning" corresponds to software which approximately solves the original problem.
Download or read book Rational Numbers to Linear Equations written by Hung-Hsi Wu and published by American Mathematical Soc.. This book was released on 2020-06-18 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. The present volume begins with fractions, then rational numbers, then introductory geometry that can make sense of the slope of a line, then an explanation of the correct use of symbols that makes sense of “variables”, and finally a systematic treatment of linear equations that explains why the graph of a linear equation in two variables is a straight line and why the usual solution method for simultaneous linear equations “by substitutions” is correct. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Download or read book Lectures on Linear Partial Differential Equations written by Grigoriĭ Ilʹich Eskin and published by American Mathematical Soc.. This book was released on 2011 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
Download or read book A Workbook for Differential Equations written by Bernd S. W. Schröder and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and hands-on approach to modeling and predicting real-world phenomena using differential equations A Workbook for Differential Equations presents an interactive introduction to fundamental solution methods for ordinary differential equations. The author emphasizes the importance of manually working through computations and models, rather than simply reading or memorizing formulas. Utilizing real-world applications from spring-mass systems and circuits to vibrating strings and an overview of the hydrogen atom, the book connects modern research with the presented topics, including first order equations, constant coefficient equations, Laplace transforms, partial differential equations, series solutions, systems, and numerical methods. The result is a unique guide to understanding the significance of differential equations in mathematics, science, and engineering. The workbook contains modules that involve readers in as many ways as possible, and each module begins with "Prerequisites" and "Learning Objectives" sections that outline both the skills needed to understand the presented material and what new skills will be obtained by the conclusion of the module. Detailed applications are intertwined in the discussion, motivating the investigation of new classes of differential equations and their accompanying techniques. Introductory modeling sections discuss applications and why certain known solution techniques may not be enough to successfully analyze certain situations. Almost every module concludes with a section that contains various projects, ranging from programming tasks to theoretical investigations. The book is specifically designed to promote the development of effective mathematical reading habits such as double-checking results and filling in omitted steps in a computation. Rather than provide lengthy explanations of what readers should do, good habits are demonstrated in short sections, and a wide range of exercises provide the opportunity to test reader comprehension of the concepts and techniques. Rich illustrations, highlighted notes, and boxed comments offer illuminating explanations of the computations. The material is not specific to any one particular software package, and as a result, necessary algorithms can be implemented in various programs, including Mathematica®, Maple, and Mathcad®. The book's related Web site features supplemental slides as well as videos that discuss additional topics such as homogeneous first order equations, the general solution of separable differential equations, and the derivation of the differential equations for a multi-loop circuit. In addition, twenty activities are included at the back of the book, allowing for further practice of discussed topics whether in the classroom or for self-study. With its numerous pedagogical features that consistently engage readers, A Workbook for Differential Equations is an excellent book for introductory courses in differential equations and applied mathematics at the undergraduate level. It is also a suitable reference for professionals in all areas of science, physics, and engineering.
Download or read book Differential Equations Dynamical Systems and an Introduction to Chaos written by Morris W. Hirsch and published by Academic Press. This book was released on 2004 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
Download or read book Summit Math Algebra 1 Book 2 written by Alex Joujan and published by . This book was released on 2020-01-04 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn math in a guided discovery format. These "teaching textbooks" are designed to let students learn at their own pace. Summit Math books are for curious students who want learning to feel like a journey. The scenarios are arranged to show how new math concepts are related to previous concepts they have already learned. Students naturally learn at different paces and these books help teachers manage flexible pacing in their classes. Learn more at www.summitmathbooks.com. Topics in this book: Plotting points on a graph Graphing a line using an equation and a T-chart Graphing a line using its intercepts Constant rates The slope of a line Writing a line's equation in Slope-Intercept Form Parallel and perpendicular lines Scenarios that involve linear equations Linear inequalities Cumulative Review Answer Key Book description: This books builds on the introduction to rates at the end of Algebra 1: Book 1. Students learn that a constant rate of change produces a linear relationship. They learn about x- and y-intercepts and they graph equations in Standard Form. After they learn about slopes of lines, the book introduces them to equations in Slope-Intercept Form and guides them through scenarios that include graphing lines in that form and writing equations to model linear relationships. Students also learn about parallel and perpendicular lines. Near the end of the book, they learn how to graph linear inequalities. Student testimonials: "This is the best way to learn math." "Summit Math books are unlike typical textbooks. It doesn't matter how you learn or what speed you go at...you can learn at your own pace while still understanding all the material." "Summit Math Books have guided me through algebra. They are the stepping stones of what it takes to think like a mathematician..." "I really enjoy learning from these books...they clearly demonstrate how concepts are built over other concepts." "You don't just memorize, you actually understand it." Parent testimonials: "Summit Math Books not only helped my daughter learn the math, they helped her to love learning math in and of itself! Summit Math books have a fun, self-paced way to explain math concepts..." "I am absolutely thrilled with this math program. The books are so well organized and the content builds from one lesson to the next." "We are really impressed and grateful for our boys' understanding of what the math means, not just how to get problems right...we should all learn to understand math this way." "As the mother of a teenage daughter who previously had occasional difficulty in math, it was refreshing to watch her actually enjoy her math class and to understand the subject matter without struggling" "I have three kids that have used Summit Math. Using these books, they have more freedom to learn and explore at their own pace during class, with notes already incorporated within the book." Teacher testimonials: "Summit Math allows students to work at their own pace which allows me the opportunity to provide individualized attention to those who need it..." "Summit Math emphasizes understanding concepts rather than memorizing rules. Students take ownership while acquiring the necessary skills to solve meaningful math problems..." "It has been a real benefit having problem sets that are explicitly designed to guide students through the development of their understanding of the how and why behind the concepts they are studying." See more testimonials at www.summitmathbooks.com.
Download or read book Algebra Functions Workbook written by Mel Friedman and published by Research & Education Assoc.. This book was released on 2013-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA's Algebra & Functions Workbook Perfect for students struggling with math! This book will help high school math students at all learning levels understand basic algebra. Students will develop the skills, confidence, and knowledge they need to succeed on high school math exams with emphasis on passing high school graduation exams. More than 20 easy-to-follow lessons break down the material into the basics. In-depth, step-by-step examples and solutions reinforce student learning, while the “Math Flash” feature provides useful tips and strategies, including advice on common mistakes to avoid. Students can take drills and quizzes to test themselves on the subject matter, then review any areas in which they need improvement or additional reinforcement. The book concludes with a final exam, designed to comprehensively test what students have learned. REA's Algebra & Functions Workbook will help students master the basics of mathematics—and help them face their next math test—with confidence!
