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problems in applied mathematics involve solving systems of linear equations, with the linear system occurring naturally in some cases and as a part of the solution process in other cases. Linear systems are usually written using matrix-vector notation, Ax = b with A the matrix of coefficients for the system, x the column vector of the unknown variables x1,…, xn, and b a given column vector. Solving linear systems with up to 1,000 variables is now considered relatively straightforward in most cases. For small to moderately sized linear systems (say, n ≤ 1,000), the favoured numerical method is Gaussian elimination and its variants; this is simply a precisely stated algorithmic variant of the method of elimination of variables that is introduced in elementary algebra. For larger linear systems, there is a variety of approaches depending on the structure of the coefficient matrixA. Direct methods lead to a theoretically exact solution x in a finite number of steps, with Gaussian elimination the best-known example. In practice, there are errors in the computed value of x due to rounding errors in the computation, arising from the finite length of numbers in standard computer arithmetic. Iterative methods are approximate methods that create a sequence of approximating solutions of increasing accuracy.
Nonlinear problems are often treated numerically by reducing them to a sequence of linear problems. As a simple but important example, consider the problem of solving a nonlinear equation f(x) = 0. Approximate the graph of y = f(x) by the tangent line at a pointx(0) near the desired root (use of parentheses is a common notational convention to distinguish successive iterations from exponentiation), and use the root of the tangent line to approximate the root of the original nonlinear functionf(x). This leads to Newton's iterative method for finding successively better approximations to the desired root:x(k +1) = x(k) −f(x(k))/f′(x(k)), k = 0, 1, 2, …,where f′(x) indicates the first derivative of the original function.
In this, f′(x) is a generalization of the derivative known as the Jacobian matrix of f(x), and the second equation is a linear system of order n. There are numerous other approaches to solving nonlinear systems, most based on using some type of approximation involving linear functions.
An important related class of problems occurs under the heading of optimization. Given a real-valued function f(x) with x a vector of unknowns, a value of x that minimizes f(x) is sought. In some cases x is allowed to vary freely, and in other cases there are constraints on x. Such problems occur frequently in business applications.
This category includes the approximation of functions with simpler or more tractable functions and methods based on using such approximations. When evaluating a function f(x) with x a real or complex number, it must be kept in mind that a computer or calculator can only do a finite number of operations. Moreover, these operations are the basic arithmetic operations of addition, subtraction, multiplication, and division, together with comparison operations such as determining whether x > y is true or false. With the four basic arithmetic operations, it is possible to evaluate polynomialsp(x) = a0 + a1x + a2x2 + ⋯ + anxnas well as rational functions (polynomials divided by polynomials). By including the comparison operations, it is possible to evaluate different polynomials or rational functions on different sets of real numbers x. The evaluation of all other functions—e.g., f(x) = √x or 2x—must be reduced to the evaluation of a polynomial or rational function that approximates the given function with sufficient accuracy. All function evaluations on calculators and computers are accomplished in this manner.
One common method of approximation is known as interpolation. Consider a set of points (xi,yi) where i = 0, 1, …, n, and then find a polynomial that satisfies p(xi) = yi for all i = 0, 1, …, n. The polynomial p(x) is said to interpolate the given data points. Interpolation can be performed with functions other than polynomials (although these are most common), with important cases being rational functions, trigonometric polynomials, and spline functions (made by connecting several polynomial functions at their endpoints—they are commonly used in statistics and computer graphics).
Interpolation has a number of applications. If a function f(x) is known only at a discrete set of data points x0, …, xn, with yi = f(xi), then interpolation can be used to extend the definition to nearby points x. If n is at all large, spline functions are generally preferable to simple polynomials.
Most numerical methods for the approximation of integrals and derivatives of a given function f(x) are based on interpolation. For example, begin by constructing an interpolating function p(x), often a polynomial, that approximates f(x), and then integrate or differentiate p(x) to approximate the corresponding integral or derivative of f(x).
Most mathematical models used in the natural sciences and engineering are based on ordinary differential equations, partial differential equations, and integral equations. Numerical methods for solving these equations are primarily of two types. The first type approximates the unknown function in the equation by a simpler function, often a polynomial or piecewise polynomial (spline) function, chosen to closely follow the original equation. The finite element method discussed above is the best known approach of this type. The second type of numerical method approximates the equation of interest, usually by approximating the derivatives or integrals in the equation. The approximating equation has a solution at a discrete set of points, and this solution approximates that of the original equation. Such numerical procedures are often called finite difference methods. Most initial value problems for ordinary differential equations and partial differential equations are solved in this way. Numerical methods for solving differential and integral equations often involve both approximation theory and the solution of quite large linear and nonlinear systems of equations. |
Summary: Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material |
Manigault teaches math at Northern Virginia Community College. Over the years she noticed trends in her students' various approaches to math, and she noticed which approaches fostered success. In 1995, she attended a conference in Colorado where each attendee was asked to do something for their college, so Manigault decided to write a book recording her experiences as a college math professor.
Her original intention for the book was to target it towards students, particularly those who struggled in math. But she ended up including sections for parents and teachers as well, reminding them of the supporting roles they play in a child's education.
Manigault has a tough philosophy when it comes to studying math that emphasizes individual responsibility. Perhaps her back-to-basics study guidelines are just what today's math-impaired student may need. In a world where students are more increasingly calculator-dependent, a student who really doesn't understand the fundamentals needs to study them instead of trying to find short cuts to get the work done without actually understanding it. Manigault says that if you want to be successful in math, or any subject for that matter, you need to study the material to the point where it becomes trivial.
If you study just enough to pass Unit Test One, and forget that material while studying just enough to pass Unit Test Two, how well do you think you're going to do on the cumulative final that covers material from units one through twelve?
Along with a solid study regimen, Manigault incorporates psychological boosts into her math study routine, because she has learned from years of teaching that many students who claim they "just can't get it" do so because they have convinced themselves it's impossible feat for them to accomplish. Many students have repeatedly told themselves they can't do it, so they believe they can't, and Manigault says they need to tell themselves they can do it. She believes that just as self-doubt can become a self-fulfilling prophecy, so affirmations can help one succeed.
This book contains no "tricks of the trade" to help you find shortcuts to solving equations. The emphasis is on studying, working hard, and ridding oneself of the mental blockages that erode away at one's confidence in math and leave seemingly irreversible scars. Manigault feels that following her guidelines, tough though they may seem, can gently smooth those scars out.
However, there's more to Sandra Manigault than math. While in a creative writing class, she was looking for an idea for a final project. Her teacher suggested doing a collection of personal essays. Upon reading them, a young man in her class said to her, "As I read your essays, I couldn't help but think what would my life have been like if you had been my mother." With that reaction to her essays, Manigault realized she had the makings of a book.
That's why it is called "fragments" of her experiences. It is not a typical autobiography outlining the major experiences throughout the author's life. It's not a book of defining moments so much as it is a book of just moments. Instead of talking about the birth of her first child, she includes a letter she wrote to her daughter before she headed back to college. That is the way many of us look back: specific and unconnected memories pop into our heads, and that's how (with a bit more organization) Manigault's memoir reads.
Manigault says she had an English teacher friend help her organize the essays and polish up the book. Manigault says she likes the structure of a collection of essays rather than a typical autobiography. She says, "You get to see a person from the inside out. You don't get to see everything, but you see everything that's important to see what the person is like." And what can this person's life teach you about your own?
In both books she weaves in her philosophy of faith. While you might be surprised to find a few prayers in a math self-help book, Manigault explains it by saying, "Fear of math is the issue, and fear is a spiritual issue. You need to rethink a lot of things to get over fear. Questions of belief in self have to do with one's essence, and one's beliefs." Basically, re-centering your faith in God can help you re-establish faith in self, and if you believe you can do it, you can. It's all about the affirmations.
In her books, Manigault takes the lessons learned from actual experiences in her life and puts them down on the page for the reader to examine. Through her books she hopes to help others by allowing them inside the experiences she's had during her life as a wife, mother, artist, and teacher.
To learn more about Sandra Manigault, check out her books from your local library, or visit her website at |
MATH FOR BUSINESS AND FINANCE: AN ALGEBRAIC APPROACH 1Math for Business & Finance: An Algebraic Approach provides modern examples for students to understand business mathematics and make connections with real-world applications. The course covers mathematical concepts from an algebraic approach, combined with Business applications. Every chapter is devoted to a Personal Finance theme, with topics that include Payroll and the Cost of Purchasing a Home. There is also extensive integration of scientific calculator notation, and also has the Wall Street Journal and Kiplinger news clips that have been widely popular in Jeffrey Slater's other two Business Math texts. |
Numerical Computation Lecture focusing on understanding the fundamental mathematical concepts and mastering problem-solving skills using numerical methods is an important lecture in colleges whose knowledge are hard to understand and master for most students. Scilab, famous open-source scientific computation software, can be used to test algorithms or to perform numerical computations. Scilab also provides many numerical methods and is very easy to use even for people without prior programming experience. This article mainly discusses how to apply Scilab in the lecture of engineering numerical computation to make the learning easy and practical. Students should be able to solve similar engineering computations problems immediately after taking the class using the Scilab codes we provide in class. For most students and particularly non-math majors understanding how to use numerical tools Scilab correctly in solving their problems of interest is more important than studying lengthy proofs and derivations. |
Curve Sketching
Five RISP starters revise ideas of polynomials and curve-sketching, cover expanding brackets, solving equations graphically, and knowing how to sketch the graphs of curves.
Gold and Silver Cuboid requires the students to use a graph plotter to explore the effects of changing coefficients of a cubic equation. The investigation is extended to finding a connection between the volume surface area and edge length of a cuboid formed using the solutions to the cubic.
Almost identical: requires students to use a graph plotter to find a quadratic graph which matches a hyperbolic function.
Graphing tiles is a practical activity linking curve-sketching, co-ordinate geometry and simultaneous equations in which students have to use the tiles provided to make sensible graphs.
Index triples is an activity which consolidates ideas on indices. Students have to make as many different values using the three given numbers.
Parabolic Clues, asks students to use clues to deduce the coefficients of a parabola |
Numerical Methods
Numerical Methods for Scientists and Engineers 2nd edition by R. W. Hamming provides detailed guidelines to use worksheet functions to work with matrix to find roots of equations and solve systems of simultaneous equations and solve ordinary differential equations and partial differential equations
For this book, the author has extensively rearranged, rewritten, and enlarged the material. It is unique in its emphasis on the frequency approach and its use in the solution of problems. It also presents the fundamentals of numerical methods with emphasis on the most essential and widely used methods.
Students enhance their programming skills using the MATLAB environment to implement algorithms. The goals of the book's problems are three-fold: to improve the understanding of numerical methods, to provide the opportunity to improve programming skills, and to use MATLAB as a tool for solving realistic problems in engineering and science.
Designed for the newest version of the popular MATLAB, the brevity makes this textbook the perfect introduction to numerical methods or second- or third-year students. Material is appropriate for 2nd and 3rd year students and professionals unfamiliar with Numerical Methods. Realistic applications from engineering and science motivate students.
Text includes many examples and end-of-chapter problems to help students learn numerical methods. Three levels of homework problems address applying numerical methods techniques with traditional pencil and paper and with MATLAB—see end-of-chapter problem sets. Students use MATLAB's built-in functions as tools for problem-solving and become familiar with a variety of numerical methods useful to practicing engineers.
Advanced Strength and Applied Stress Analysis 2nd Edition, by Richard G. Budynas gives broad coverage of the theoretical, experimental, and numerical methods employed in the field of stress analysis. This book is designed to provide a clear transition from the subjects of elementary to advanced mechanics of materials.
Its broad vary of protection allows instructors to easily select many different subjects to be used in one or more courses. The highly readable writing style and mathematical readability of the first edition are continued in this edition. Major revisions on this book include an expanded protection of three-dimensional stress/strain transformations; further matters from the speculation of elasticity; examples and problems which check the mastery of the prerequisite elementary topics.
This text additionally includes new sections on fracture mechanics and structural stability; a totally rewritten chapter on the finite element method; a brand new chapter on finite element modeling strategies employed in follow when utilizing commercial FEM software; and a big enhance in the variety of finish of chapter train problems a few of which are oriented in direction of computer applications.
Advanced Strength and Applied Stress Analysis 2nd Edition is intended for students beginning the study of mechanical engineering design. The focus is on blending fundamental growth of ideas with sensible specification of components. College students of this text should discover that it inherently directs them into familiarity with each the premise for selections and the requirements of business components. For that reason, as student transition to training engineers, they will find that this text is indispensable as a reference text.
The objectives of the text are to cowl the basics of machine design, together with the design course of, engineering mechanics and materials, failure prevention underneath static and variable loading, and traits of the principal varieties of mechanical elements. It additionally provides a practical approach to the subject via a wide range of real-world purposes and examples
This book encourages readers to hyperlink design, evaluation and fundamental ideas with practical component specification. The presentation of fatigue loading of bolted joints now handles general fluctuating stresses, treating repeated loading as a particular case.
Numerical Methods with MATLAB 2nd Edition, by Amos Gilat and Vish Subramaniam provides concise guide to numerical methods and their application. Mastering numerical methods has never been easier than with this book.
Uniquely accessible and concise, this book takes an innovative approach that integrates the study of numerical methods with hands-on programming practice using the popular MATLAB environment to solve realistic problems in engineering and science.
Ideal for both students and professionals who would like to become more adept at numerical methods, this book familiarizes you with the mathematical background and fundamentals of numerical methods, solving nonlinear equations, a system of linear equations, Eigenvalues and Eigenvectors, function approximation, curve fitting, and interpolation, differentiation, integration, first-order and higher-order ODEs, initial and boundary value problems.
Using MATLAB's built-in functions as tools for solving problems, you will practice applying numerical methods for analysis of real-world problems. All the information is presented in manageable, step-by-step fashion, supported by a large number of annotated examples and end-of-chapter problems.
Lucid, carefully structured, and flexibly designed to fulfill a wide range of academic and practical needs, this book will help you develop the skills in numerical methods that will serve you well as a practicing engineer. Numerical Methods with MATLAB 2nd Edition focuses on the use of anonymous functions instead of inline functions along with the uses of subfunctions and nested functions.
This book increases and revises the end of chapter problems to make the material more relevant applications from all branches of engineering. With this book, you'll have a reliable source on all the essential topics of numerical methods.
It is essentially the most concise, effectively-organized, and best-illustrated reference guide to mountain bike maintenance and repair. Whether or not you want to modify the newest hydraulic disc brake or rehabilitate a decades-old mountain bike, you will see that the whole lot you want inside, with clear diagrams and succinct, step-by-step instructions to guide you.
Zinn and the Art of Mountain Bike Maintenance 5th Edition by Lennard Zinn and Todd Telander delivers a refreshingly simple remedy of mountain bike maintenance. The diagrams and easy to observe instructions assist the reader by every little thing from flat repair to wheelbuilding with the same stage of care. Lennard Zinn explains that it would not take special skills to discover ways to care for one's bike, only "a passion for spreading new grease on previous parts."
This text explains and demonstrates how one can fully and properly keep each part of a mountain bike, together with chains, derailleurs, shifters, wheels, brakes, cranks, bottom brackets, pedals, saddles, seatposts, suspension methods, handlebars, stems, headsets, forks, and frames.
Author describes and charges every repair and counsels the novice bike mechanic tips on how to decide whether or not to take the bike to a motorcycle store for skilled attention. In depth line drawings present how components match collectively and illustrate the tools required for each type of bike. Additionally explained topics are emergency on-path restore tricks. This text consists of sections on belt drives and internal gear hubs, which are fully ignored in other common audience restore book.
Author also covers everything from rebuilding hubs, to loosening seized stems, to installing six various kinds of backside brackets. He even risks cycling blasphemy by strolling mere mortals by way of the artwork of wheel building, an intimidating job that can take years to perfect. Although greatest fitted to the outdated professionals, his guide is consumer- pleasant, humorous, and important to anybody prepared to love their bike.
Electrical Machines, Drives and Power Systems 6th Edition by Théodore Wildi employs a theoretical method to offer introductory users with recent electrical power. The scope of the book displays the rapid adjustments which have occurred in energy technology over the past few years-allowing the doorway of power electronics into each aspect of industrial drives, and expanding the sphere to open more career opportunities.
The author covers the basics of electrical energy, magnetism and circuits, mechanics and heat, electrical machines and transformers, electrical and digital drives, and electric utility power systems. This text is aimed for managers of electrical utilities, electricians, electrical contractors and electrical maintenance personnel.
It serves as reference information for electrical engineers. It explores revolutionary converter expertise affecting each sector of business and business exercise-modifying electric elevators, locomotives, and transit vehicles; servomechanisms; heating, ventilating and air conditioning systems; fans; compressors; and innumerable industrial manufacturing lines.
Chapter matters include turbines, motors, efficiency and heating of electrical machines, three-phase circuits, transformers, transmission and distribution, and the cost of electricity. The subject matter covered in this book requires only a background in fundamental circuit principle, algebra, and trigonometry.
Owing to its person-friendly therapy of even advanced topics, this book will meet the wants of a broad range of readers. First, it is appropriate for college kids following a two-year electrical program in group faculties, technical institutes, and universities. Owing to its very broad coverage, the text can be incorporated in a 4-yr expertise program. Many universities have adopted the book for his or her electric energy service courses.
Selection and Use of Engineering Materials 3rd Edition, by F. A. A. Crane, J. A. Charles and Justin Furness supplies an understanding of the basic ideas of materials selection as practiced in engineering manufacture and design with an overview of established supplies usage. Emphasis is placed on figuring out service necessities and the way supplies relate to those necessities, somewhat than listing materials and describing applications.
Varied kinds of supplies are used in industry, housing, agriculture, transportation, etc. to fulfill the plant and individual requirements. The speedy developments within the discipline of quantum concept of solids have opened vast alternatives for higher understanding and utilization of assorted materials. Due to this fact, this book introduces the rapid advances in high-temperature and excessive-strength materials.
Selection and Use of Engineering Materials 3rd Edition has been revised throughout and now contains protection of using new supplies in engineering, materials for bearings and tribological utilization, and the use of supplies in civil engineering structures. It has also been expanded to incorporate extra case research and worked examples as a way to provide tangible and interactive contact with the content material matter.
The book additionally incorporates an in depth consideration of the weldability of steels, the welding of plastics and adhesion. An example of this improvement is the inclusion of a chapter detailing using supplies in automobile structures; a discipline through which the traditional use of metal is being displaced as the applying of strengthened polymers becomes more widespread. The book additionally displays the growing use of computerized databases and materials selection programs.
Flight Theory and Aerodynamics: A Practical Guide for Operational Safety 2nd Edition by Charles E. Dole and James E. Lewis brings the science of flight into the cockpit with little engineering or mathematical background. This book outlines the basic ideas of aerodynamics and physics, using only a minimal quantity of high school level algebra and trigonometry essential to illustrate key concepts.
This book reflects the reducing edge of aeronautic idea and practice, and has been revised, reorganized, and up to date with 30 % new information including a brand new chapter on helicopter flight. Central to the book structure is a clear description of aeronautic basics what lifts and drives an aircraft.
This text forces work for and towards it all detailed in the context of the design and analysis of immediately s aircraft systems. Ambiance and airspeed measurement are mentioned in detail with airfoils and aerodynamic forces, elevate and drag, jet plane basic and applied performance, prop aircraft primary and applied efficiency, slow and high-velocity flight, takeoff, landing, and maneuvering performance.
The self-research format contains issues at the end of every chapter, with answers in the back of the book, in addition to chapter-end summaries of symbols and equations. An excellent text for the USN Aviation Security Officer and the USAAA s Aviation Security Officer programs, as well as for professional pilots, scholar pilots, and flying security personnel, this text is entire and accessible information to the subject, updated for the new millennium.
Creator evaluates related ideas of physics and aerodynamics with a minimal quantity of algebra and trigonometry. Every section contains practical exercises, a abstract of symbols, and a summary of equations.
Pipeline Planning and Construction Field Manual, by E. Shashi Menon gives the required tools and methods for formulating plans, designs, value estimates and specifications for pipeline development and area upkeep and modernization programs. Full of easy to learn and perceive tables, pipeline schematics, bullet lists and "what to do subsequent" checklists.
This easy to make use of book covers the design, building, and operation of onshore pipeline systems. The incorporate construction methods, commissioning, pressure testing, and begin up into the design of a pipeline system. The main target is on pipeline routing, mechanical design, building methods, hydraulics, set up, and operations of onshore pipeline systems.
With this book, readers will acquire and/or consolidate the important knowledge and skills to design, assemble, and operate pipelines. Design and simulation issues are an integral part of this book. With this book in hand, engineers will probably be in a position for routine auditing of technical work output relative to technical enter and established standards and expectations.
Pipeline Planning and Construction Field Manual describes assessment and estimation of work scope including pipeline design integrity and resourcing requirements by to undertaking completion and performance conceptual designs in choice studies. Writer also introduces back-of-the envelope calculations, checklists for maintenance operations, environmental compliance, simulations, modeling tools and equipment design and information for pump and pumping station placement.
This text supplies detailed practical data on the design and building of pipelines and attendant facilities. Authored by a workforce of experts with in depth pipeline experience, the volume presents a comprehensive look at design criteria, planning issues, and testing methodologies for many frequent tasks concerned in pipeline construction.
Over the previous decade, companies have redirected their maintenance operational focus from internal cost-slicing to profit-maximization. This method is referred to as profit centered maintenance. This text gives benchmarking instruments for the profitable design, implementation, and validation of a revenue- and customer-centered strategy for maintenance.
Maintenance Benchmarking and Best Practices by Ralph W. Peters gives maintenance supervisors and managers with benchmarking/greatest practices highway-map referred to as the Upkeep Operations Scoreboard. The Scoreboard will permit maintenance managers to find out and quantify advantages and savings, improve craft productivity and define a method to improve efficiency and productivity.
These items are on the heart of a profitable Profit Centered Maintenance organization. The writer-devised Upkeep Operations Scoreboard is used to carry out over 200 maintenance evaluations in over 5,000 revenue centered maintenance organizations. For instance, at Honda of America, it was used extensively to direct maintenance strategy. It was later translated into Japanese for presentation to key Japanese executives.
Another wonderful example is Boeing Business Plane Inc. Boeing combined elements from this identical Scoreboard with their company-extensive maintenance targets to develop 'The Boeing Scoreboard for Maintenance Excellence.' Over 60 facility maintenance work items, at area, group and group ranges, are evaluated at on-site visits utilizing the Scoreboard criteria.
Already utilized by over 5000 organizations together with Honda of America, Boeing Business Airplane Group, Siderar, BigLots, and the Air Combat Command, these highly effective benchmarking tools might be immediately utilized to maximise your organization's maintenance excellence. Extensive worldwide case research and the author's precise experiences present invaluable real-world insights.
Steel Heat Treatment Metallurgy and Technologies 2nd Edition by George E. Totten provides recent analysis of quenching applied sciences and hardenability by covering the event of nitriding strategies for low-temperature treatment, notably in the auto industry.
Details calculations are used for the measurement, testing, and prediction of distortion and residual stresses. It describes the most recent methods for the design, manufacturing, and heat remedy of utility-particular instrument steels based mostly on extra considerations and processes for treating powder metallic materials and parts.
This text examines the behavior and processes involved in trendy metal heat treatment applications. This book presents the rules that type the idea of heat therapy processes whereas incorporating detailed descriptions of advances emerging. It presents a history and current evaluation of stainless steel remedy and manufacturing
Revised, up to date, and expanded, Steel Heat Treatment Metallurgy and Technologies ensures up-to-date and thorough discussions of how specific heat therapy processes and different alloy elements have an effect on the structure and the classification and mechanisms of metal transformation, distortion of properties of metal alloys.
The book consists of fully new chapters on heat-treated components, and the remedy of software steels, stainless steels, and powder metallurgy steel components. It gives a targeted resource for on a regular basis use by superior college students and practitioners in metallurgy, course of design, heat treatment, and mechanical and materials engineering. |
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This bag of tricks gives you everything you need to engage your students so that they and you can feel enthused by statistics.
The only weakness is the later chapters on more advanced teaching which have not undergone the same process of review and revision with the students that the earlier parts of the book have.
Introductory statistics is a course dreaded by many students, and even some teaching staff, and for good reason: many introductory statistics courses deal with examples that are distant from students' experience, and so students never care about the course material, and focus simply on surviving the course by memorizing formulas and definitions. Thus, it's all too easy for introductory statistics to reduce to a series of "Is this going to be on the exam?" type of questions, which is no fun for either the students or the teachers.
This book presents a number of activities which can be done in large lecture courses or small sections to enliven introductory statistics courses. The best of the activities engage the students directly by collecting data from them; since everyone finds themself fascinating, such activities are an automatic hook into students' interest and truly motivate the material. Once the data has been collected from the students, the students can be asked for their predictions about the data, and for different aspects of the data. The teacher can ask questions such as the following, and be almost guaranteed that the students care about the answers to them: if X is true, what do we expect a scatterplot to look like? What would the correlation be? What kind of analysis can we do to figure out whether X is true? Now, what if Y is also true?
As any practicing statistician knows, such exploratory questions cut to the heart of statistics, so these activities succeed in giving students a real understanding of what it means to be doing statistics. That said, I have found some of the activities are more fun than educational; one activity reenacts the famous Fisher tea tasting experiment using soft drinks, as a Pepsi-type challenge. I used this activity with an introductory course which did not cover the exact test. While the students really enjoyed this activity, the amount of statistics involved in it is relatively small, so the activity degenerated into a discussion about the role of marketing in people's perception of the quality of a product. It was a good discussion and everyone enjoyed it, but I don't think that the students learned any statistics from it.
Overall, this book provides an engaging approach which would be beneficial for anyone who teaches statistics. Highly recommended.
I've used eight or ten ideas from this book to good effect. Some of the material is basic, and some is well beyond the scope of the undergraduate social stats course I teach, so the book would likely be useful to a variety of stats courses. The book has a good index that let's you find tips or demonstrations relevant to the concept you are teaching.
5 of 6 people found the following review helpful
5.0 out of 5 starsGreat resource16 Mar 2009
By L. Davidson - Published on Amazon.com
Format:Paperback
This book contains a lot of great ideas on how to engage students. I'm halfway through it so far and am enjoying the writing style and teaching tips. |
Ths is a free version of the Boundless Algebra book that can be downloaded from Amazon for a Kindle.'The Boundless Algebra...
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Ths is a free version of the Boundless Algebra book that can be downloaded from Amazon for a Kindle.' the study needs of university students.This textbook covers:The Building Blocks of Algebra -- Real Numbers, Exponents, Scientific Notation, Order of Operations, Working with Polynomials, Factoring, Rational Expressions, Radical Notation and Exponents, Basics of Equation SolvingGraphs, Functions, and Models -- Graphing, Functions: An Introduction, Modeling Equations of Lines, Functions Revisited, Algebra of Functions, TransformationsFunctions, Equations, and Inequalities -- Linear Equations and Functions, Complex Numbers, Quadratic Equations, Functions, and Applications, Graphs of Quadratic Functions, Further Equation Solving, Working with Linear InequalitiesPolynomial and Rational Functions -- Polynomial Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder and Factor Theorems, Zeroes of Polynomial Functions and Their Theorems, Rational Functions, Inequalities, Variation and Problem SolvingExponents and Logarithms -- Inverse Functions, Graphing Exponential Functions, Graphing Logarithmic Functions, Properties of Logarithmic Functions, Growth and Decay; Compound InterestSystems of Equations and Matrices -- Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices, Matrix Operations, Inverses of Matrices, Determinants and Cramer's Rule, Systems of Inequalities and Linear Programming, Partial FractionsConic Sections -- The Parabola, The Circle and the Ellipse, The Hyperbola, Nonlinear Systems of Equations and InequalitiesSequences, Series and Combinatorics -- Sequences and Series, Arithmetic Sequences and Series, Geometric Sequences and Series, Mathematical Inductions, Combinatorics, The Binomial Theorem, Probability'
This is a free, online textbook. According to the author, "This book was written to be a readable introduction to algebraic...
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This is a free, online textbook. According to the author, "This book was written to be a readable introduction to algebraic topology with rather broad coverage of the subject. The viewpoint is quite classical in spirit, and stays well within the confines of pure algebraic topology. In a sense, the book could have been written thirty or forty years ago since virtually everything in it is at least that old. However, the passage of the intervening years has helped clarify what are the most important results and techniques. For example, CW complexes have proved over time to be the most natural class of spaces for algebraic topology, so they are emphasized here much more than in the books of an earlier generation. This emphasis also illustrates the book's general slant towards geometric, rather than algebraic, aspects of the subject. The geometry of algebraic topology is so pretty, it would seem a pity to slight it and miss all the intuition it provides.״
״The subject matter of Algorithmic Game Theory covers many of the hottest area of useful new game theory research,...
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״The subject matter of Algorithmic Game Theory covers many of the hottest area of useful new game theory research, introducing deep new problems, techniques, and perspectives that demand the attention of economists as well as computer scientists. The all-star list of author-contributors makes this book the best place for newcomers to begin their studies.״
This is a free, online wikibook, which means that it is continually updated. "This book aims to be an accessible...
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This is a free, online wikibook, which means that it is continually updated. "This book aims to be an accessible introduction into the design and analysis of efficient algorithms. Throughout the book we will introduce only the most basic techniques and describe the rigorous mathematical methods needed to analyze them. The topics covered include The divide and conquer technique. The use of randomization in algorithms. The general, but typically inefficient, backtracking technique. Dynamic programming as an efficient optimization for some backtracking algorithms. Greedy algorithms as an optimization of other kinds of backtracking algorithms. Hill-climbing techniques, including network flow. The goal of the book is to show you how you can methodically apply different techniques to your own algorithms to make them more efficient. While this book mostly highlights general techniques, some well-known algorithms are also looked at in depth. This book is written so it can be read from "cover to cover" in the length of a semester, where sections marked with a * may be skipped.״
This is the first in a two-volume collection of historical articles, newly written and reprinted, that are glimpses of...
see more
This is the first in a two-volume collection of historical articles, newly written and reprinted, that are glimpses of America's mathematical past. The volumbe starts with "reprinted accounts of the early days of the Society by Thomas Fiske. Other subjects are mathematicians, institutions, organizations, books, computers, political events, refugees, war work, social currents, meetings, working conditions, and of course mathematics itself.״
This is a free, online textbook. According to the author, "The typical university calculus sequence, which serves majors in...
see more
This is a free, online textbook. According to the author, "The typical university calculus sequence, which serves majors in the physical sciences and engineering as well as mathematics, emphasizes calculational technique. In upper level mathematics courses, however, students are expected to operate at a more conceptual level, in particular to produce "proofs" of mathematical statements. To help students make the transition to more advanced mathematics courses, many university mathematics programs include a "bridge course״. Many texts have been written for such a course. I have taught from a couple of them, and have looked at numerous others. These various texts represent different ideas for what a bridge course should emphasize. Not having found a text that was a good fit with my own ideas, I decided to try to write one of my own.״ |
Mathematics Information
Frequently Asked Questions About Mathematics
Q. I would like to be a math teacher. Does Otterbein have a program for this? A. Otterbein offers teacher licensure in Integrated Mathematics, which allows you to teach grades 7-12. Contact the Department of Education for details.
Q. What can I do with a math degree? A.
Mathematics is an essential part of many different career fields. Many
students with Bachelors or Masters degrees in mathematics find jobs in
industry or government in such fields as aerospace, electronics,
communications, insurance, and banking. Operations research is a growing
field in which mathematics is applied to industrial problems of
resource allocation, production scheduling, and distribution. There is
also consistent demand for statisticians in government, industry, and
education.
Q. I do not intend to major in math. How many math courses am I required to take? A. Mathematics
requirements vary by degree. The Bachelor of Science degree, for
instance, requires mathematics through Calculus II while the Bachelor of
Fine Arts degree requires no mathematics at all. The number of courses
you need to take also depends on your score on Otterbein's mathematics
placement exam taken during summer orientation.
Q. Why do I have to take a math placement exam? A.
Remember the story about the three bears? We want to be sure your first
mathematics course at Otterbein is neither too easy nor too difficult,
but just right for you. We want you to succeed so we offer courses at
several different levels. High school and college courses with similar
names vary greatly in topics and/or in the dept of coverage for
corresponding topics. Placement exams are a better indicator of your
mathematical maturity, and are used everywhere.
Q. What if I have a bad math day and do poorly on the math placement exam; can I take it again? A.
No, the placement exam can be taken only once. If you feel your
placement exam score does not reflect your true level of mathematical
maturity, you may request to take the final exam of a specific course
for possible placement into the next higher course.
Mathematics Resources
Tutoring
Math tutoring at Otterbein is provided by the Academic Support Center. It is located on the 2nd floor of the Courtright Memorial Library. The Math Specialist is Ann Biancamano, 614.823.1823. |
Here is an update to Algebra/Calculus Assistant, version 0.2. I've added some more mathematical functions.
Spoiler for README:
Algebra/Calculus Assistant Version 0.2
Coded in lua by andyauff
----------------------------------------------------
CHANGELOG:
Version 0.2
--Got rid of the find slope and y-intercept option and replaced it with the equation conversions (standard to y-intercept
and vice versa). The standard to y-intercept still says the slope and y-intercept, though.
--Added function to find the inverse of a 2x2 matrix
--Added function to simplify any fraction into its simplest form
Version 0.1 (Initial Release)
-Features:
--Find slope and y-intercept of a line in standard form
--Find determinant of a 2x2 matrix
--Find determinant of a 3x3 matrix
--Find the solution to a system of 2 equations with 2 variables
-----------------------------------------------------
WHAT IS IT?
This is a simple lua application for the PSP that has 7 useful mathematical functions built into it.
WHAT DOES IT DO?
These are the 7 functions built into the program:
1) Convert equations from standard form to y-intercept form
2) Convert equations from y-intercept form to standard form
3) Find the determinant of a 2x2 matrix
4) Find the determinant of a 3x3 matrix
5) Find the solution to a system of 2 equations with 2 variables*
6) Find the inverse of a 2x2 matrix
7) Simplify a fraction
* This means that it finds the intersection of two lines in standard form
That's just about it. The controls are simple and there are some in-application controls instructions too. |
Little Mathematics Library series
Dividing A Segment In A Given Ratio by N. M. Beskin.
The booklet describes various theories to which a deep study of the problem of dividing a line segment in a given ratio leads. Considering this elementary and those related to it, the reader will make a short travel over some branches of mathematics come into contact with affine and projective geometry and the theory of groups, though in most cases without mentioning those names. The book is intended for pupils of the senior forms; in its main parts it can be easily grasped by pupils of the seventh and eighth forms.
The book was translated from the Russian by V. Zhitomirsky and was
first published by Mir in 1975.
PDF | Cover | Bookmarks | OCR | 4.4 MB | 76 pp | 600 dpi
Released on TPB by mirtitles.org
=====
Contents
Preface 7
Introduction
1. Orientation of a straight line and a line segment 9
2. Directed line segments 10
Chapter I. Simple ratio
3. Statement of the problem 13
4. Solution of the problem 17
5. Mechanical interpretation of the problem 20
6. Invariant property of a simple ratio with respect to
parallel projection 20
7. Permutation of elements in a sim ple ratio 22
8. Group property of a simple ratio 25
9. Ideal points (points at infinity) 29
10. Separation of points on a straight line 34
11. Ceva' s theorem 37
12. Menelaos' theorem 45
Chapter II. Cross ratio
13. Notion of a cross ratio 48
14. Invariant property of a cross ratio with respect to central projection 50
15. Permutation of elements in a cross ratio 52
16. Harmonic tetrads 55
17. Finding the fourth point given a cross ratio 58
1.8. Theorem on a complete quadrilateral 61
19. Group property of a cross ratio 63
Problems 65
Answers and solutions 68 |
More About
This Textbook
Overview
<>MATLAB for Engineers, 3e, is ideal for Freshman or Introductory courses in Engineering and Computer Science.
With a hands-on approach and focus on problem solving, this introduction to the powerful MATLAB computing language is designed for students with only a basic college algebra background. Numerous examples are drawn from a range of engineering disciplines, demonstrating MATLAB's applications to a broad variety of problems.
This book is included in Prentice Hall's ESource series. ESource allows professors to select the content appropriate for their freshman/first-year engineering course. Professors can adopt the published manuals as is or use ESource's website to view and select the chapters they need, in the sequence they want. The option to add their own material or copyrighted material from other publishers also exists |
provides an elementary introduction to number theory with no algebraic prerequisites. Topics include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions and elliptic curves. |
Teacher's Edition. This edition balances the investigative approach that is the heart of the Discovering Mathematics series with an emphasis on developing students' ability to reason deductively. If you are familiar with earlier editions of Discovering Geometry, you'll still find the original and hallmark features, plus improvements based on feedback from many of your colleagues in geometry classes |
General Visualization Quick Start
Brett Champion
This course explores Mathematica's built-in tools for creating visualizations from functions or data. You'll learn how to customize plots with styles, labels, and other features that are common across the visualization functions.
Report Generation allows you to create documents quickly and easily using Wolfram Finance Platform documents. Get an overview of the features in this talk from the Wolfram Finance Platform Virtual Seminar.
Learn how both Mathematica and Wolfram|Alpha can investigate extensive data about the world. This Wolfram Technology for STEM Education: Virtual Conference for Education talk demonstrates how using real-world data in the class can be used effectively with Wolfram technology.
Learn more about Wolfram's Programming for Kids programming curriculum. This Wolfram Technology for STEM Education: Virtual Conference for Education talk shows how to get students started on programming in the Mathematica Language.
See the first public viewing of the revolutionary Wolfram Calculator. This Wolfram Technology for STEM Education: Virtual Conference for Education talk demonstrates the basic functionality as well as the predictive interface of the Wolfram Calculator.
Learn how to design interactive digital material for the classroom. This Wolfram Technology for STEM Education: Virtual Conference for Education talk highlights the Wolfram Demonstrations Project and how teachers can create their own Demonstrations.
With products like Wolfram|Alpha, Wolfram Demonstrations Project, and CDF, Wolfram Research brings algebra into the twenty-first century. This Wolfram Technology for STEM Education: Virtual Conference for Education talk showcases these great products and demonstrates their use in a classroom setting.
The Wolfram Cloud Platform provides a convenient way to use Mathematica, create and share resources, and collaborate with students and colleagues. This Wolfram Technology for STEM Education: Virtual Conference for Education talk shows how to improve your classroom experience with the Wolfram Cloud Platform.
computerbasedmath.org has been engaged in a fundamental rethink of math education. This Wolfram Technology for STEM Education: Virtual Conference for Education talk shares some of the thinking behind the new curriculum that computerbasedmath.org is developing and how Wolfram technologies can assist.
Learn how to incorporate engaging digital content into physics classrooms with Mathematica, Wolfram|Alpha, and other Wolfram technologies. This Wolfram Technology for STEM Education: Virtual Conference for Education talk demonstrates how to integrate these technologies to create a richer physics curriculum.
Immerse yourself in Wolfram Community—a networking portal of like-minded educators, students, researchers, and developers. This Wolfram Technology for STEM Education: Virtual Conference for Education talk introduces the various uses and features of Wolfram Community.
Wolfram technologies are the tools for providing interactive and engaging materials for STEM education. In this video, Conrad Wolfram shares examples and explains why Wolfram is uniquely positioned to be a leader in STEM education.
Improve the teaching and learning experience with Mathematica. This Wolfram Technology for STEM Education: Virtual Conference for Education talk gives an overview of how to make the calculus classroom dynamic with interactive models and shows a variety of computation and visualization capabilities.
Explore interactive and engaging materials for the classroom enriched by Wolfram|Alpha and the Wolfram Demonstrations Project. This Wolfram Technology for STEM Education: Virtual Conference for Education talk gives more insight on how to use these tools to make a fully interactive classroom.
Learn how to harness the power of Wolfram|Alpha in the classroom. This Wolfram Technology for STEM Education: Virtual Conference for Education talk gives an introduction to Wolfram|Alpha mobile apps and how to use them effectively for a variety of subjects.
See the Wolfram Language being run on a Raspberry Pi. This Wolfram Technology for STEM Education: Virtual Conference for Education talk goes through several interesting examples using the Wolfram Language to control devices on a Raspberry Pi.
This video is a quick introduction to Mathematica's highly optimized image processing tools and powerful functions for analyzing and manipulating image data. Shadi Ashnai demonstrates how Mathematica 9 exhibits these features across several different types of image processing applications.
This video discusses how to apply Mathematica's large range of image processing tools to problem solving in several different application areas. Markus van Almsick demonstrates Image processing tasks, including some not-so-serious examples.
This video explains the principles of volume rendering and the art of constructing the right transfer functions. Markus van Almsick explores the drawbacks and extravagant possibilities of this new visualization modality and applies it to real-world data. |
Introduction to Closure notion of closure pervades mathematics, especially in the fields of topology and projective geometry. Demonstrating this pervasiveness in the field, this graduate-level book provides a complete introduction to closure systems. With an emphasis on finite spaces and algebraic closures, the text covers graph theory, ordered sets, lattices, projective geometry, and formal logic as they apply to the study of closures. Each chapter presents a vignette to illustrate the topic covered. The author also includes numerous exercises as well as concrete examples to support the material discussed. |
Trigonometry - 6th edition
Summary: This easy-to-understand trigonometry text makes learning trigonometry an engaging, simple process. The book contains many examples that parallel most problems in the problem sets. There are many application problems that show how the concepts can be applied to the world around you, and review problems in every problem set after Chapter 1, which make review part of your daily schedule. If you have been away from mathematics for awhile, study skills listed at the beginning of the first...show more six chapters give you a path to success in the course. Finally, the authors have included some historical notes in case you are interested in the story behind the mathematics you are learning. This text will leave you with a well-rounded understanding of the subject and help you feel better prepared for future mathematics108359 Premium Books are Brand New books direct from the publisher sometimes at a discount. These books are NOT available for expedited shipping and may take up to 14 business day...show mores to receive. ...show less
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College Algebra : Concepts and ModelsCollege Algebra: Concepts and Models" provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage of optional discovery and exploration activities that use technology and are integrated throughout the text.A brief version of this text, "College Algebra: A Concise Course," provides a shorter version of the text wi... MOREthout the introductory review."Make a Decision" features thread through each chapter beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. Students are asked to choose which answer fits within the context of a problem, to interpret answers in the context of a problem, to choose an appropriate model for a data set, or to decide whether a current model will continue to be accurate in future years."Chapter Projects" extend applications designed to enhance students understanding of mathematical concepts. Real data is previewed at the beginning of the chapter and then analyzed in detail in the Project at the end of the chapter. Here the student is guided through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze the data.Questions involving skills, modeling, writing, critical thinking, problem-solving, applications, and real data sets are included throughout the text. Exercises are presented in a variety of question formats, including free response, true/false, and fill-in the blank.""In the News"" Articles from current mediasources (magazines, newspapers, web sites, etc.) are found in every chapter. Students answer questions that connect the article and the algebra learned in that section. This feature allows students to see the relevancy of what they are learning, and the importance of everyday mathematics."Discussing the Concept" activities end most sections and encourage students to think, reason, and write about algebra. These exercises help synthesize the concepts and methods presented in the section. Instructors can use these problems for individual student work, for collaborative work or for class discussion. In many sections, problems in the exercise sets have been marked with a special icon in the instructor's edition as alternative discussion/collaborative problem."Discovery" activities provide opportunities for the exploration of selected mathematical concepts. Students are encouraged to use techniques such as visualization and modeling to develop their intuitive understanding of theoretical concepts."Eduspace" Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. |
Thinking MathematicallyBob Blitzer's books are highly acclaimed for their well-conceived, relevant applications and meticulously annotated examples. This highly anticipated revision achieves the difficult balance between coverage and motivation, while helping readers develop strong problem-solving skills. This book provides readers with the skill building and practice that is so crucial as well as the applications and technology necessary to foster an appreciation of the myriad uses of mathematics. This book covers a wide range of topics including set theory, logic, number theory, algebra, consumer mathematics and financial management, geometry, measurement, probability theory and statistics. For anyone interested in refreshing his/her fundamental math skills. |
Description: This course is the first of two that comprise Algebra 1. In this course, the student will gain a foundational understanding of the real number system, expressions, equations, and inequalities. The student will be taught to solve simple and multi-step equations and inequalities and represent those solutions graphically. In addition, students will explore linear or nonlinear functions and represent those functions on the coordinate plane. Finally, the student will solve systems of equations and inequalities and represent those solutions graphically.
Throughout the course, problem solving, critical thinking, and real-world application of mathematical concepts will be required.
Units:
Foundations for AlgebraSolving EquationsSolving InequalitiesIntroduction to FunctionsLinear FunctionsSystems of Equations and InequalitiesAlgebra 1 A Semester Exam:
iText Algebra 1: On Level
Support representative at 877-804-6222.
Seeking course credit at your full-time school? Please be aware that if you plan to transfer credit from National Connections Academy to a non-Connections Academy school, the decision about whether to accept NaCA course credits is wholly at the discretion of the school to which you hope to transfer the credits.
We strongly recommend that you discuss with your school their transfer credit policy, and inform them about your plans to take a course or courses through NaCA, prior to registering for a NaCA course. You may need the course description and Credit Request Form if you are not a Connections Academy student, but are seeking to obtain credit for National Connections Academy summer school courses at your full time school. |
Calculus
Book summary
Calculusis a text intended to help students in the engineering, mathematical, and physical sciences learn calculus more effectively, not only as a foundation for such subsequent courses as differential equations, linear algebra, or numerical analysis, but also as preparation for courses in chemistry, physics, or engineering. |
For several years the Physics department at Blinn College has used Mathematica in a limited way for simulations in the laboratory part of the calculus-based introductory sequence. For the 2006-2007 academic year Blinn's Physics department was awarded an HP Technology Grant that included 21 tablet PCs. Our proposal was to use Mathematica on the tablets in the classroom to enhance student engagement and reduce long lecture times. We began developing exercises to use the numerical, symbolic, and/or graphical capabilities of Mathematica to help with some pedagogical problem areas. The new features of Version 6 allow for exciting new possibilities using streamlined user interfaces and improved visualization. These improvements also will allow applying these exercises to the lower-level algebra-based physics sequence. |
Know the basic function library. Knowing the basic properties of common will save you a lot of time in your calculus studies. Basic functions include trigonometry functions, exponential function, polynomials, and many more. |
David Cohen's COLLEGE ALGEBRA, Fifth Edition, focuses on teaching mathematics, using a graphical perspective throughout to provide a visual ...Show synopsisDavid Cohen's COLLEGE ALGEBRA, Fifth Edition, focuses on teaching mathematics, using a graphical perspective throughout to provide a visual understanding of college algebra. The author is known for his clear writing style and the numerous quality exercises and applications he includes in his respected texts. In this new edition, graphs, visualization of data, and functions are now introduced much earlier and receive greater emphasis. Many sections now contain more examples and exercises involving applications and real-life data. While this edition takes the existence of the graphing calculator for granted, the material is arranged so that one can teach the course with as much or as little graphing utility work as he/she wishes4.
Hardcover,
Thomson Brooks/Cole,
2003
Description:Good. Annotated instructor's ed., 5th ed. Item may show signs...Good. Annotated instructor's ed., 5 |
At testbanksolution.com you can find all exclusive Test bank and Solution manuals. This book consists of Matrix Algebra, Trusses, Axial Members, Beams, and Frames, One-Dimensional Elements, Analysis o...
Our company Instant Rewards has partnered with Fortune 500 companies such as Direct Tv, Equifax, etc. and they have given us the ability to help individuals just like you and myself generate a part-ti... |
Elementary Algebra (17%). Questions in this content area are based on properties of exponents and square roots, evaluation of algebraic expressions through substitution, using variables to express functional relationships, understanding algebraic operations, and the solution of quadratic equation... |
... lines of code around spatial geometry and linear algebra, you will also find a multitude of mathematical features beyond geometry. All methods are comprehensively documented. We offer a royalty-free full ...
Digital Challenge is a set of interactive activities for use in teaching basic digital concepts. The activities give students immediate feedback to reinforce correct responses. All student responses are corrected and ...
... >Very easy exciting and fast to use 2. Algebra : > >Can store up to three algeriac ... add, subtract, multiply, and divide of any two algebraic equations algebraically and produce an algebraic result, it ...
... allows the application of the construction concept in Algebra, Calculus, etc. Use its full potential to create interactive and dynamic math calculations and visualizations and you will discover new ways ...
... The libraries include numerical and analytical calculations, linear algebra operations, equation solving algorithms. Many libraries are based on the JAIDA classes for data manipulation, construction of histograms and functions. jHepWork ...
... populations in models described in the Markovian process algebra PEPA. GPA efficiently implements these techniques and extensions allowing calculation of accumulated rewards and computation of passage time probabilities. The ...
With Linear Algebra, you can solve systems of linear equations using the LU factorization of the matrix of coefficients. You can also perform different operations (add, subtract, multiply), finding the ...
It is a calculator for algebra.The inputs and outputs are in algebraic format.It can do the operations of add, subtract, ... factorized. It records the history of operations on algebraic functions.You can copy one function to another which ...
... in a very short time. Included areas: Arithmetic, Algebra, Geometry, Trigonometry, Analytic Geometry and miscellaneous.Visual Mathematics, a member of the VirtualDynamics Math Virtual Lab, is an Intuitively-Easy-To-Use software.Visual Mathematics modules ...
... Calculator An extensive equation library is included covering algebra, finance, geometry, physics, trig and business applications containing over 80 equations You can add, edit and save your own equations in ... |
"Math is math," or so an old axiom goes. And for countless years, generations of U-M students have endured the same litmus test for competence in advanced mathematics-college calculus.
Recently, however, in response to what many felt was antiquated material and an impersonal, impractical method of learning, the University has begun to offer college calculus in a new way.
Three years ago, with a grant from the National Science Foundation, a team of U-M math professors developed an experimental program called New Wave Calculus. The course de-emphasizes symbolic manipulation and encourages "real world" problem solving, like the following sample question:
IBM-Peru uses second derivatives to assess the relative success of various advertising campaigns. They assume that all campaigns produce some increase in sales. If a graph of sales against time shows a positive second derivative during a new advertising campaign, what does this suggest to IBM management? Why? What does a negative second derivative during a new campaign suggest? (From Calculus, by Deborah Hughes-Hallett et al., John Wiley & Sons: New York, 1994, p.130.
Beginning this fall term, after two years of offering New Wave Calculus on a limited, experimental basis, all Math 115 classes and most 116 sections will be new wave.
According to Pat Shure, a lecturer who helps coordinate the New Wave program, the seminal teaching and learning format "connects to students in a real way." Students now complete problems with the aid of graphing calculators, Shure says. Group homework teams collaborate together in complete exercising sets. Answers must be written out in complete sentences.
In the old, traditional calculus course, Shure explained, "students were able to perform the skills, but when it came time to recalling these skills, they had no gut understanding of them. People had no idea of what they were doing."
Although Michigan, along with Harvard, is one of the pioneers of this new approach to calculus, the reform of pre-existing mathematics curriculums was not entirely unexpected. The past few years have witnessed a radical re-evaluation of how universities perceive quantitative reasoning skills, and more specifically math and science.
Mathematics Prof. Jeffrey Rauch observed that "what we're doing is more interesting and profound. It's more fun to teach and, I suspect, more fun to take."
Students who have already completed the New Wave sequence tend to agree with Rauch. "I thought the course was very worthwhile," said Peter Smith '97, a mechanical engineering major from Fenville, Michigan. "It helped that I had a good professor, and that's what I liked the most."
Amy McMulloch '97 of Dundee, Michigan, who took the New Wave course on the 115 level, noted that the hardest adjustment to taking a "traditional" calculus course again after taking New Wave was re-acquainting herself with the old "plug and chug method" after she had become "so used to thinking through everything" in Math 115.
One of the premises behind the program is that mathematics needs to become a more interdisciplinary subject. In this respect, New Wave Calculus, which also promotes reading, writing and communication skills, fills that void by forcing students to contextualize the material within other fields of study.
Because of the reliance upon word problems, for example, the course allows students to use mathematical applications as springboards for learning about such subjects as economics and medicine. And perhaps it is dynamism that makes New Wave Calculus such a welcome change from the traditional calculus curriculum.
"We are trying to transfer the responsibility [of learning] back to the students where it belongs," said Shure. The program "really encourages self-confidence if you're willing to give it a shot," she added.
A top priority of New Wave Calculus, according to Shure, is re-defining what it means to teach mathematics. "It's a demanding way to teach. It requires you to be very involved in how students learn."
The mainstreaming of the New Wave Calculus program this year coincides with the introduction of the quantitative reasoning requirement for all new students in the College of Literature, Science, and the Arts. The requirement stipulates that students complete at least one course dealing with mathematics and logic.
"What studies show is that in college, students actually get worse in quantitative or computation skills," Associate LSA Dean Michael Martin said. And while there is no official correlation between New Wave Calculus and the reasoning requirement, the University appears firm in its progressive approach to math and logic.
While a few students echo the sentiments put forth by James Yurko, a sophomore from Yale, Michigan, who felt "bummed out that people can't go through the traditional program anymore," most graduates of the New Wave sequence feel entirely comfortable with their experience. Wrote one student in his end-of-the-semester essay one of the most unusual New Wave course requirements--"I had been exposed to doings like derivatives, integrals and similar calculus terms before and been able to figure them out with little difficulty. However, for the first time, I now feel that I am able to understand what these things mean and how to use them." |
This is a
college-level mathematics course for students who have been highly
successful in Algebra 2. The purpose is to introduce students to the
major concepts and tools of elementary statistics as they collect,
analyze, and draw conclusions from data. Students will have
extensive opportunities to explore data, plan studies, anticipate
patterns, and use statistical inference. Students enrolled in the
course are required to take the AP Statistics Exam in May. |
Enhanced with Graphing Utilities
Michael Sullivan' s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing ...Show synopsisMichael Sullivan' s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Series has evolved to meet today' s course needs by integrating the usage of graphing calculator, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.Hide synopsis
Description:Good. IMPORTANT! Please read before buying. AIE-Instructor's...Good. IMPORTANT! Please read before buying. AIE-Instructor's Edition with same identical content as regular student edition but may include instructor's notes and ALL answers.Brand new. [ATTENTION: (Annotated) Instructor's Edition] this...Brand new. [ATTENTION: (Annotated) Instructor's Edition] this instructor copy has both odd / even answers; OK for Home Schooling, fine for self study; this book is a new Instructor's Copy, with HELP annotations; All Pages Clean and Unmarked; Heavy.
Description:New. 0321795644 INSTRUCTORS EDITION. exact same content as the...New. 0321795644 INSTRUCTORS EDITION. exact same content as the student version only may include all answers and/or teaching notes in margins. DOES NOT include supplements such as CDs or access codes. Orders ship within 1-2 business days w/ free tracking.
Reviews of College Algebra: Enhanced with Graphing Utilities
The book is not that bad but the way it is organized leaves a lillte to be desired. I have found that the index is not correct when looking for particular items as they are off by a few pages and this has happened several times.
Still, this is an OK book for my college course |
Future elementary and middle school teachers need a clear, coherent presentation of the mathematical concepts, procedures, and processes they will be called upon to teach. This text uniquely balances what they will teach (concepts and content) with how to teach (processes and communication). As a result, students using Mathematics for Elementary School Teachers leave the course knowing more than basic math skills; they develop a deep understanding of concepts that enables them to effectively teach others. This Fourth Edition features an increased focus on the 'big ideas' of mathematics, as well as the individual skills upon which those ideas are built. |
Introduction to MathCAD 13 and MathCAD 13 120 Day Evaluation updated book presents Mathcad as a means of solving engineering problems, since engineering is about finding solutions and letting other people know about them. Mathcad help finds solutions and communicate those solutions to others. Basically, there are two reasons for using Mathcad in engineering. First, it can handle the problems engineers encounter every day. Second, when an engineer has solved a problem using Mathcad, the result is a professional worksheet with the equations in readable form and results clearly displayed.... MOREWith its practical and clear step-by-step procedures, this book demonstrates how to use Mathcad and shows what the Mathcad worksheet looks like through every step of the process. Each chapter opens with a lead-in describing one of the frontiers of engineering, such as global warming, biomedical engineering, optics, and risk analysis. These themes are also found throughout the book. It demonstrates how Mathcad can be used to solve real problems in various engineering disciplines, such as chemical processes, electronics, and biomedicine, as well as some that will appeal to mechanical and civil engineers.An essential Mathcad reference guide for every professional engineer. For Freshman or Introductory courses in Engineering and Computer Science. ESourcePrentice Hall's Engineering Source |
Bringing Rigor into Calculus
Bob Brabenec
Department of Mathematics Wheaton College
For most calculus students, calculus is not much more than an amazing collection of formulas and techniques involving derivatives and integrals. What makes calculus so useful is the fundamental relationship between these two concepts that was discovered by Newton in the 1660s. For the next 150 years, calculus was successfully applied to solve a wide range of problems from the physical world. But this amazing structure of results had no solid foundation, and paradoxes began to appear. During the years from 1820 to 1870, most of these problems were resolved, and calculus was put into its modern form with all the concepts based on the limit definition. This gradual process of bringing rigor into the calculus led to the subject we usually refer to as real analysis. The historical development of calculus and analysis is also covered in this talk. |
Summary
This chapter covers fundamental concepts concerning vector spaces and matrix algebra, including basic operations on matrices and determinants, the rank of a matrix, description of particular types of matrices, and the diagonalization of matrices. Some applications of matrices in statistics are presented in the last section. This is a brief chapter designed to acquaint the reader with basic matrix terminology that is essential to the understanding of the remaining chapters. |
Yeah I agree to some extent. I think we should teach basic logic, (truth tables, if-then, etc.), naive set theory, and symbolism over a simple intro to abstract algebra. I think a discrete structures type class is perfectly appropriate for 7-15 kids in each grade in good enough schools.
Disclaimer: I'm not an educator (nor do I aspire to be), and my professional relationship with mathematics is purely applied. So, for the purposes of this discussion, I'm an amateur.
However, I do remember that we spent less than a week on truth tables in electronics, an elective that had people ranging from prealgebra to calc BC. And, by the end of the semester, those prealgebra folks were building 8-bit counters from gates.
I honestly think that you can take people with zero mathematical background from basic discrete math to basic ring theory in the span of a semester, and make it enjoyable. It would sacrifice some depth in favor of breadth, but frankly, had my HS math curriculum been more "breadth-first", it's very likely that I would have ended up in mathematics instead.
I'd apply the same argument to other subjects, but that's a whole 'nother can of worms.
That's cool about your electronics class. I went to a high school with both AP and IB courses, so we had a bunch to offer, but we didn't have a class like that. Interesting stuff.
I honestly think that you can take people with zero mathematical background from basic discrete math to basic ring theory in the span of a semester
Unfortunately, I just don't think high schoolers are at the intellectual level for that. I mean, Rings and Fields, is a full class at my school, and you need intro to abstract algebra, which you need discrete structures. I think you could definitely do a year-long course starting with discrete math and moving to introductory abstract algebra, sure.
The other thing with this though is that the students do not have the motivation to do this. They don't realize the importance of abstracting things like addition and multiplication to other sets, especially if we're dealing with kids that aren't very mathematically inclined, as you mentioned. I'm not saying we shouldn't or couldn't make a class like you mentioned, but I do think there are some inherent flaws, unfortunately. However, I think a combination of our two ideas would be best. Kids need to focus on their algebra skills much, much more. Thus, we take another year or somehow change up our curriculum so that it focuses on algebra more. With a more solid understanding of how numbers behave under simple operations with algebra, we now have developed solid motivation for abstract algebra. I think if we had an AP Discrete Structures or AP Abstract Algebra, that would be incredible. In many ways, I understand the push for calculus; it opens up the doors for physics, engineering, math, and all of the sciences. We obviously need calculus. But calculus, especially AP calc, is much more physics/engineering than math. We should be teaching kids to question why the operations we do exist, to think about what's going on behind the scenes, and to think logically. I agree with your point that we could present these topics in an enjoyable way. In a lot of ways, it could be much better than the number crunching and equation pushing that calculus is.
String concatenation is not invertible, now we have motivation to find objects that have inverses (alternatively, add inverses by fiat and continue with free objects). Rotations in the plane are a monoid with unique inverses, so now you have groups. What else can we do in the plane -- ok, symmetry group. Can we combine these two into something -- sure, SO(2). Rotations and symmetries are subgroups, yay we got subgroups.
Group morphisms: "check out the babe at your 9 o'clock" takes SO(2) to Z/12Z. How do we know Z/12Z is a group? Well, because we have a group isomorphism: we do something on one side, we can do the same thing on the other side, and operations are preserved. Is that all? That is all. Wait, does that mean that we don't care what the group looks like as long as we know what it does? Ooh.
What else behaves like a group, well, let's say integers under addition. What about multiplication? Well, integers are only a monoid under multiplication, there's no inverse. So let's revisit that 9 o'clock bit again. Etc. A few more paragraphs, and we'd have a very basic, very non-rigorous introduction to very basic algebra -- but you'd have people walking away with some sort of an understanding of why one might care to study algebraic objects.
Abstract algebra (even at an elementary level) is completely bizarre even for people with a lot of mathematical maturity and will end up little more than rote memorization. Things that look like trig at least have some intuition attached, though I agree that memorization of the more obscure rules doesn't make a lot of sense (granted, I say this having been taught elementary abstract algebra at highschool and it sounds like our curriculum doesn't include the same type of obscure trig that occurs in the US, so ymmv). |
Course Content and Outcome Guide for MTH 27C
Date:
22-JUL-2009
Posted by:
Curriculum Office
Course Number:
MTH 27C
Course Title:
Applications in MathematicsApplications in Mathematics Use fractions, decimals, percents, integer arithmetic, and measurements to write, manipulate, interpret and solve applications and formulas. Concepts will be introduced numerically, graphically, symbolically, and in oral and written form. Scientific calculator with fraction capabilities required. Prerequisites: (ABE 0782 or placement into MTH 20) and (RD 80 or ESOL 250)
Intended Outcomes for the course
·Creatively and confidently use mathematical and other problem solving strategies to formulate problems, to solve problems using multiple approaches, and interpret results.
·Meet the prerequisites for further course work.
·Choose and perform accurate arithmetic operations in a variety of situations with and without a calculator.
·Present results numerically, symbolically, and graphically, and in written and oral form. |
American Government takes the historical approach towards government, analyzing it's branches, levels and spiritual foundation.
Teach the process of literary analysis that enables your student to interpret and evaluate what he or she reads in the light of Biblical truth. British Literature reviews British Literature chronologically from the 700s to the present, discussing the eight literary periods--Old English, Middle English, Tudor, Stewart, Neoclassical, Romantic, Victorian & Modern English from a biblical perspective.
Economics, examines supply and demand, the circular flow of product and income, business, banking, unemployment and more.
Mathematics Programs Associates' new and improved Developmental Mathematics is the curriculum highly recommended in Cathy Duffy's Christian Home Educators Curriculum Manual, Mary Pride's The Big Book of Home Learning, Rebecca Rupp's The Complete Home Learning Source Book, and Ted Wade's The Home School Manual. Developmental Mathematics is the product of decades of research and testing in Europe, the Middle East, and the United States. It is composed of a complete workbook series progressing, Level by Level, through the basic elements of arithmetic into the beginnings of algebra. As a self-teaching program, Developmental Mathematics is ideal for self-paced learning, both accelerated and remedial.
Developmental Mathematics is a number learning program that starts with counting, and guides the student into advanced math disciplines. It deals with numbers as they evolve. It presents the number as a concept, how it is read and written, and then teaches all facts and computational skills in which it is involved. When all work with a certain type of number is exhausted, a new type is brought into the focus of study.
Each fact or computation is presented as a problem to be solved, and then the student is guided to see, and participate in, how the fact is derived and how the computation is built. The learner is trained to use acquired knowledge in generating new knowledge, which is the essence of mathematical thinking. In this manner, the students knowledge is consolidated as a coherent body, rather than a collection of unrelated facts and skills.Meet 17 renowned composers of the Baroque through Contemporary periods! Designed to be completed in 20--30 minutes, each unit study features a picture, short biography, and brief overview of the music of a composer, as well as a question-and-answer page. Kit includes a 72-page book, 17 reproducible activity sheets, and a CD that presents works by each composer. An excellent introduction to classical music!
A sound financial future starts with a basic understanding of money management---an essential asset in today's world. Students first get a general overview of accounting, then learn about specifics such as debits and credits; journalizing and posting transactions; financial statements for a proprietorship; payroll accounting, tax recording, and payment; business simulation activity; and more. Set includes 10 LIFEPACs and a teacher's guide. Grades 7 and up.
In order to be able to understand this text, the student needs to have completed Algebra I. This course is designed to be a first-year high school chemistry course and gives the student a rigorous foundation in chemistry, in order to prepare him or her for a college-level course. This college-preparatory high school chemistry course is designed specifically for independent study.Solutions and Test key sold separately. This course is designed for high school sophomores.Is homeschooling right for your teens? Wondering if you're up to the task? Using verifiable data, Jay Wile shows that a homeschool environment prepares high school students for college and life better than a public education; discusses curriculum options and record-keeping; and offers assurance that most parents are quite capable of homeschooling their older children. Enhanced CD includes seminar slide presentation. |
Kirk Trigsted revolutionized the way this course is taught when he created College Algebra, a completely clickable eText that was written from the ground up within MyMathLab. Recognizing that today's students start with the homework instead of reading the text, Trigsted created an online learning environment that is a seamless mix of exposition, videos, interactive animations, tutorials, and assessment. This approach leverages the power of MyMathLab and leads students to interact with course materials in a way that is proving to be more effective.
With Algebra & Trigonometry, Trigsted continues to innovate with a revised design that improves navigation and usability, expanded videos, and increased animation coverage. All multimedia elements, exercises, feedback, and content are written by the author himself so that the students have a consistent voice throughout.
Description:
Beecher, Penna, and Bittinger''s Algebra and Trigonometry is known for
enabling students to "see the math" through its focus on visualization and early introduction to functions. With the Fourth Edition, the authors continue to innovate by incorporating more ongoing ...
Description:
Dugopolski''s College Algebra and Trigonometry: A Unit Circle Approach, Fifth
Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find enoughcarefully placed learning aids ... |
A Problem Solving Approach to Mathematics for Elementary School Teachers
9780321570550
ISBN:
0321570553
Edition: 10 Pub Date: 2009 Publisher: Addison-Wesley
Summary: Billstein, Rick is the author of A Problem Solving Approach to Mathematics for Elementary School Teachers, published 2009 under ISBN 9780321570550 and 0321570553. Three hundred one A Problem Solving Approach to Mathematics for Elementary School Teachers textbooks are available for sale on ValoreBooks.com, one hundred ninety eight used from the cheapest price of $0.87, or buy new starting at $36 version of this text,just like the student isbn cover to cover but will have answers/marginal notes,any promo markings will be covered with blac [more]
ALTERNATE EDITION: A brand new never used teacher version of this text,just like the student isbn cover to cover but will have answers/marginal notes,any promo markings will be covered with black book tape,smoke free env[less] |
Business: Profit = Revenue - Cost. Given a model for revenue and cost, one can maximize profit by computing its extrema, which involves computing the derivativeEngineering: A widely used technique in engineering is finite element analysis, which is an application of differential and integral calculus to modeling physical phenomena such as heat transfer, electricity and magnetism, fluid flow, stress and strain, among other things.
Atmospheric science: There are "toy models" of the atmosphere, which are models (that typically involve either differential or integral calculus or both) that incorporate only some of the relevant atmospheric physics, chemistry, etc., and might be used e.g. to find a "base line" for the surface temperature of the Earth, the required flux of temperature from the equator to the polar regions, etc. Then there are full-fledged models of climate change (e.g. the IPCC) or regional weather (e.g. the weather forecast) that both involve lots of differential and integral calculus.
Geology: Differential and integral calculus can be used to model petroleum reservoir depletion, pollutants dispersing in an aquifer, convection in the mantle, among other things.
I always wonder about your first example. In any business calculus class marginal analysis is a great example for the students, but does anyone ACTUALLU use it?? I would be surprised if so. Do you have any idea?
There is one use that I can think of off the back of my head, and it's used by bonds dealers and financial experts. Bonds are financial instruments where, if someone owns a bond, they are paid some coupon rate biannually and the bond's face value at the end of the bond's life. For instance, a 5% $100 bond with a life of 5 years would pay you $5 every six months ten times, and at the tenth pay period, also pay you $100.
The pricing of this bond is a different matter than the face value of the bond and is related to the market yield, or how much interest these "safe" investments should give you. If the market yield (biannual compounding for simplicity) is 5%, then the bond is worth $100. If the market yield is lower, then the bond must be more expensive than $100, in order to offset the excess interest from the coupon payments. If the market yield is higher than 5%, then the bond must be less expensive than $100, to make up for the interest the coupon payments couldn't pay you.
So you can graph, for each bond with a certain life, coupon rate, and face value, that bond's price dependent on the yield rate of the market, for instance, like this. Then the derivative of the price with respect to yield (so price is a function of yield) measures how steep the curve is. It turns out, for the type of bond payment I described, that dP/dy = -D_m P, where P is the price of the bond, and D_m is something related to the duration of the bond. The duration of the bond is a time weighted-average of the bond's payments, which one can easily calculate given a bond. D_m is then the duration times 1/(1+ y/n), where n is the number of coupon payments and y the yield. This lets us see that D_m = -(1/P)(dP/dy), so D_m is a measure of the percentage change in price given a yield change. Since D_m ~ D for small y, D is used by financial experts to measure how much a bond's price is subject to change (which is useful if people want to sell bonds at any given time instead of waiting the bond's life out).
This was used in the simplest case with bonds, but it can also be used with a collection of bonds, a collection of investments, etc., and is crucial in portfolio creation. So one could dumb it down to high duration means high sensitivity to yield changes, but the reasoning behind this is due to calculus, and for different financial instruments, one would have to re-derive new measures/functions of duration (for instance, continuous compounding rather than biannual). They are also, in a sense, all finding derivatives of the price/yield function. You can read more about how calculus is used in investment here (search around for an online copy if you don't have a library with it nearby).
Really? So is it more than just using the derivative, or do they really come up with a cost/profit function, differentiate it, then use it to analyze the next item? I just always assumed it wasn't very accurate or there are better modelsWhile all of your examples are enlightening, this in particular sounds interesting and was something that I wasn't aware of. I knew mathematics could be applied fairly heavily to biology, but until I read this I wasn't sure exactly how it would be applicable. Again, thanks for this. |
Book DescriptionOverall I think this is a quality product, that packs a lot of bang for its price of $12.95. I'm using it to prepare for the GRE later this year, and have found it to be great at stoking your learned math skills as well as introducing new concepts. Very straightforward, comes with the answers to each question answered and explained in depth at the end of the section. It also comes with a free Online practice center which you can use as many times as you want with similiar problems in the book. The online site offers free detailed answer explanations, diagnostic reports of where you stand, and instant scoring. It covers the basic math skills up through Algebra and Geometry most colleges and graduates schools are looking for. I wouldn't suggest it for a math intensive review for Engineering or Physics, much too simple for that, geared more for the social sciences. The only drawback is that I have found some answer errors in the text, so beware, and double check the answers by working through each problem.
This book is a great collection of math problems for those in need of help boosting their math understanding, each problem has a detailed explanation in finding the answer. If you have children in middle school or high school this is a great book for them to work with year round outside of classes!
book is a great refresher on math long forgotten. studying for the gmat's, this was a great way to get me into thinking in 'math mode' again. the word problems are basic versions of the ones on the test, so it was a great springboard into studying. i have been using it in conjunction with my other gmat study materials and its been great. good explanations to problems as well. |
Mathematical Physics84
FREE
About the Book
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained. |
gcse Mathematics Module 1Short DescriptionLong description
The International General Certificate of Secondary Education (IGCSE) Mathematics Module 1 is the first in a set of six books developed by the Cambridge Open Learning Project (COLP) in South Africa. The Project aims to provide access to quality education by producing course materials to support the University of Cambridge Local Examinations Syndicate (UCLES) mathematics syllabus for IGCSE. The IGCSE examinations are available through the Southern Africa office of UCLES, based in Cape Town.
Product details
Author:
University of Cambridge Local Examinatio
Format:
Softcover
Publisher:
Cambridge University Press
ISBN:
9780521625197
Series Title:
Cambridge Open Learning Project in South Africa
Pages:
136
Width (mm):
211
Length (mm):
296
Table of Contents:
Introduction
Unit
Working with numbers
Unit
Numbers in general
Unit
Practical applications
Unit
Sets
Solutions |
All the concepts,terminologies related to real functions have been covered in this book. more than 150 solved examples are there in the book.Graphs of basic functions are discussed in detail. A must have book for JEE aspirants Magazine Description: A must have book for all engineering aspirants. The topic REAL FUNCTIONS has been explained in detail. All the basic terminologies related to FUNCTIONS have been explained with good number of solved examples. Coverage : Number Chart,Intervals,Functions,Testing For a Function by Vertical Line Test,Domain and Range of Some Standard Functions,Value of a Function,Classification of Functions,Bijective Function,Number of bijection (One-One onto),Composite Functions,Inverse of a Function,Odd and Even Function,Periodic Function |
GraphSight is a feature-rich comprehensive 2D math graphing utility with easy navigation, perfectly suited for use by high-school an college math students. The program is capable of plotting Cartesian, polar, table defined, as well as specialty graphs. Importantly, it features a simple data and formula input format, making it very practical for solving in-class and homework problems. The program comes with customizable Axis options, toofMath Formula - GWT Widget provide a simple way to display equations or mathematics formula on your GWT applications (Google Web Toolkit). It has more than 20000 symbols to display using MathML or in LaTeX |
Algebra and Trigonometry - 01 edition
ISBN13:978-0534434120 ISBN10: 0534434126 This edition has also been released as: ISBN13: 978-0534380298 ISBN10: 0534380298
Summary: James Stewart, the author of the worldwide best-selling calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this book to address a problem they frequently saw in their calculus courses. Many students were not prepared to "think mathematically" but attempted to memorize facts and mimic examples. Algebra and Trigonometry was designed specifically to help readers learn to think mathematically an...show mored to develop true problem-solving skills. Patient, clear, and accurate, the text consistently illustrates how useful and applicable mathematics is to real life. The new book follows the successful approach taken in the authors' previous books, College Algebra, Third Edition, and Precalculus, Third Edition15 +$3.99 s/h
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A2ZBooks Ky Burgin, KY
Pacific Grove, CA 2000 Hardcover Very Good Condition The text has light marking, the cover has a small "slit" on the upper back edge and several tiny soil marks on the back cover, otherwise in nice ...show morecondition. Quantity Available: 1. ISBN: 0534434126. ISBN/EAN: 9780534434120. Inventory No: 1560779853. ...show less
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The text has light marking, the cover has a small "slit" on the upper back edge and several tiny soil marks on the back cover, otherwise in nice condition. Quantity Available: 1. ISBN: 0534434126. IS...show moreBN/EAN: 9780534434120. Inventory No: 1560779853 |
Course content:
This course concerns itself with the concepts
of limit and continuity, which are the basis of mathematical analysis
and the calculus from which it evolved. We focus on limits of
sequences and of functions, and continuity of functions. While
the main context is the real numbers, i.e. limits of sequences of real
numbers, continuity of functions from the real numbers to the real
numbers, and so on, we will introduce a more general context, that of metric spaces,
in which to study the same concepts. This will allow us to extend
our results (often with no added effort) to functions on n, sequences in , functions on spaces of functions, etc. A highlight of the course is the interaction of continuity with the concepts of completeness, compactness, and connectedness,
which give us rigorous proofs of the seemingly obvious (but definitely
not obvious) existence of global extrema and Intermediate Value
Theorem. As time permits, we may begin the concept of
differentiability before semester break.
Note: In Real Analysis II, we will see that
the "proofs" about derivatives that we saw in Calculus I were mostly
quite rigorous, if we have a rigorous understanding of limits.
Therefore, we will quickly review what we already know about
derivatives in a rigorous setting. Integrals, however, are far
more complicated than a Calculus I/II course would lead us to believe,
especially if they involve discontinous functions. Thus much of
Real Analysis II will be concerned with properties of the Riemann
integral. Other material will include some introductory material
on measure theory and/or sequences of functions, e.g. uniform convergence.
Course Goals: At the completion of this course, the successful student will have demonstrated
these abilities:
The ability to understand both abstract and concrete
mathematical reasoning.
The ability to differentiate between sound mathematical
reasoning, flawed reasoning, and non-rigorous reasoning.
The
ability to use the basic tools and methods of proof seen in analysis,
in particular set theory and epsilon-delta and epsilon-n arguments.
The ability to formulate and prove theorems that arise from the
definitions and concepts of the course content, and the ability to
apply those theorems to specific examples.
The ability to write up, and occasionally present orally, one's mathematical proofs and arguments in
a
clear and compelling manner.
Grading
Three to five quizzes
75-125 points
Two or three "midterm" exams:
200-300 points
Two or three in class presentations
80-120 points
Final exam
200 points
Around 7 homework sets at ~20 pts each
~140 points
Total:
695-985 points
For each graded piece of work, I will post cutoff scores for grades
of A-, B-, C, C-, and D. At the end of the term, if your point total is
more than the total of the A- cutoffs, your grade will be an A- or better,
and so on. Cutoffs will never be higher than: A-: 90%
B-: 80% C: 70% C-: 67%
D: 60% ... but they are often lower.
Exams: We will have a mix of
in-class and take-home exams. Exams will be announced several
days in advance. The "rules" for take-home exams will be provided
with the exam. Final exam date: Freday Dec. 16, 2-5 p.m. For borderline grades, I tend
to pay more attention to the final exam score. The final may
be take-home, in which case the above is the due date.
.
Exam makeup policy: Midterm make-ups or early midterms are given
only for verifiable illness or for university-sanctioned intercollegiate
activities. For collegiate activities, you must see me before you
leave to arrange a makeup time. In any case, you must contact me in
advance
except in emergencies.If the final is in-class, it will not be given
early; we will try to finalize this by mid-semester, but please plan
accordingly.
Quizzes are 10
to 25 minutes long. Some will be primarily content quizzes, e.g.
stating definitions and theorems from class and assigned reading; these
may be given without notice. Other quizzes will be short
reasoning and proof exercises, closely related to previously assigned
homework. Presentations: I will
periodically assign individual presentations, typically proofs of
moderate difficulty, to be given during class meetings. For the
first presentation, I will ask students to give a preview in my office
so we can be confident that things are going well. Homework is assigned daily but
collected
sporadically. Approximately every other week, I will ask you to
turn in a specific subset of the assigned work. If you have
additional problems on the same page, it's fine if you turn them in as
well, but the problems specified for collection need to be thoroughly
legible and well written. If it is necessary to achieve
legibility and coherence, students may choose to (re)write up a clean
copy of their work to turn in (by the original deadline given). Participation: In advanced mathematics, the step from things that can be easily
understood to things that may as well be spoken in the Martian language
is a short step. To stay ahead of this "step," one needs to keep
up with the concepts and definitions already covered. It is vital
that students do so. The occasional "pop" quiz on definitions and theorems
(see Quizzes above) and class discussion will
help motivate students to keep up and help me assess how well students
are doing. Please come prepared to discuss the
homework and assigned reading from the previous class.
Oops! (added 9/1)As
with all 400-level mathematics courses at Willamette, students of this
course are expected to attend the department colloquium at least four
times this semester. The purpose of this requirement is to
instill an appreciation of the breadth and variety of mathematical
topics, techniques, people and (academic) programs. If scheduling
conflicts make colloquium attendance impossible, alternative short
written assignments will be made. If a student anticipates
needing this alternative for more than one colloquium session, they
should contact the instructor well in advance so that suitable
assignments can be prepared. Failure to complete this requirement
will result in a modest grade penalty for the course.
Academic Honesty Expectations All exams and quizzes are to be taken with books and notes closed (except
as noted on the exam paper), completely on your own. When we have take-home exams, specific expectations
will be distributed with those exams.
Plagiarism: any work copied or paraphrased from another source without
proper written acknowledgement. Plagiarized work will recieve a zero grade.
In keeping with college policy, plagiarism will be reported to the dean
(see student handbook). Systematic or organized plagiarism on exams or
quizzes will result in course failure. If you are uncertain about some
aspect of the academic honesty policy, it is your responsibility to get
clarification from the instructor. |
Barron's ACT Math and Science brand-new hands-on workbook presents exercises, problems and quizzes with solutions and answers as it progresses through all math and science topics covered on the ACT college entrance test. Separate math chapters cover pre algebra, elementary algebra, intermediate algebra, plane geometry, coordinate geometry, and trigonometry. Separate science chapters cover data representation passages, research summary passages, and conflicting scientific viewpoints. The bookas science sections emphasize the scientific method and focus on how to read scientific passages. A glossary of helpful science terms is provided. Strategies for success are included in every chapter. A full-length practice test reflecting the ACT science and math sections come with explained answers. |
he... read more
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Product Description:Unabridged republication of the edition published by W. H. Freeman and Company, New York, 1992. Foreword by Martin Gardner. 125 Figures |
Finite Mathematics With Applications-Text Only - 9th edition
Summary: This edition of Finite Mathematics with Applications continues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. This new edition is all that you need and more.
Features
Balanced Approach Multipl...show moree representations of a topic (symbolic, numerical, graphical, verbal) are used as appropriate throughout the text.
Real-Data Examples and Applications have long been popular features of this text, and this edition is no exception. The data has been updated and added to throughout the text.
Examples allow students to see how different problems are solved using the techniques shown in the book. As in the real world, many of these problems have multi-step questions and solutions.
Margin Exercises, keyed to the discussion in the text, provide students with an opportunity to practice immediately after learning a new skill. These margin exercises essentially function as a complete, in-text study guide.
Cautions highlight common student difficulties or warn against frequently made mistakes.
Technology Tips appear within the text as appropriate to inform students of various features of their graphing calculators or spreadsheet programs and to guide them in using these tools.
Exercises at the end of each section provide students with a valuable opportunity to practice the material that they have just learned in the chapter. Many of these exercises are tied back into the text, making for a cohesive learning process. In addition to the traditional and application-based exercises, there are also some exercises that require writing, the use of the calculator, skills from earlier sections, or are tied to past CPA exams. Many of the application exercises include real data from cited sources.
End of Chapter materials include a summary of key terms and symbols and key concepts. Once students feel the understand these, they can complete the review exercises to confirm their comprehension of the material covered in the chapter.
Case Studies appear at the end of each chapter. These case studies are contemporary, real-world applications of some of the mathematics presented in the chapter, providing at least a partial answer to the question, "When will I ever use this?"
Pedagogical Use of Color makes this book's art program more effective in enhancing the mathematical exposition and clarifying many graphical presentations.
New To This Edition
Each chapter begins with a brief overview of applications of the mathematics treated in that chapter, together with references to appropriate exercises.
Approximately 30% of the exercises throughout the book are new or revised from the previous edition.
There has been a significant increase in real-data examples and exercises in chapters 8, 9, and 10. In particular, many discussions of dice, cards, and marbles have been replaced by more relevant examples such as jury selection.
In addition, many detailed changes have been made throughout the book to improve clarity and coverage. |
Elementary Numerical Analysis - 3rd edition
Flexible: The text offers comprehensive coverage of virtually all major topics in numerical analysis. Its flexible Table of Contents allows instructors to choose exactly what material to cover in a one-semester course.
Varied end-of-chapter exercises: Some exercises provide additional illustrations of the theoretical results given in the section, and a number of these exercises can be done with eit...show moreher a hand calculator or with a simple computer program.
MATLAB Programs: For a number of exercises, students are asked to modify the programs in order to solve specific problems. This approach enables students to learn programming more efficiently, and allows them to focus more on technique learning and problem solving.
Appropriate level: The mathematical treatment of the material is kept at a manageable level--not too deep, not too elementary. It can be used with students who have had a one-year course in single-variable calculus, although some background in linear algebra and differential equations is helpful for chapters 6-9 |
Books
Matrices
An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by doing, writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site,
codingthematrix.com
provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant xkcd comics.
Chapters: The Function, The Field, The Vector, The Vector Space, The Matrix, The Basis, Dimension, Gaussian Elimination, The Inner Product, Special Bases, The Singular Value Decomposition, The Eigenvector, The Linear Program
Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. The authors have thoroughly revised, updated, and expanded on the first edition. The book opens with an extended summary of useful concepts and facts and includes numerous new topics and features, such as: - New sections on the singular value and CS decompositions - New applications of the Jordan canonical form - A new section on the Weyr canonical form - Expanded treatments of inverse problems and of block matrices - A central role for the Von Neumann trace theorem - A new appendix with a modern list of canonical forms for a pair of Hermitian matrices and for a symmetric-skew symmetric pair - Expanded index with more than 3,500 entries for easy reference - More than 1,100 problems and exercises, many with hints, to reinforce understanding and develop auxiliary themes such as finite-dimensional quantum systems, the compound and adjugate matrices, and the Loewner ellipsoid - A new appendix provides a collection of problem-solving hints.
Along with new and updated examples, the Third Edition features:
A novel approach to Francis' QR algorithm that explains its properties without reference to the basic QR algorithm
Application of classical Gram-Schmidt with reorthogonalization
A revised approach to the derivation of the Golub-Reinsch SVD algorithm
New coverage on solving product eigenvalue problems
Expanded treatment of the Jacobi-Davidson method
A new discussion on stopping criteria for iterative methods for solving linear equations
Throughout the book, numerous new and updated exercises—ranging from routine computations and verifications to challenging programming and proofs—are provided, allowing readers to immediately engage in applying the presented concepts. The new edition also incorporates MATLAB to solve real-world problems in electrical circuits, mass-spring systems, and simple partial differential equations, and an index of MATLAB terms assists readers with understanding the basic concepts related to the software.
The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book. In this graduate text, we focus on one specific sector of the field, namely the spectral distribution of random Wigner matrix ensembles (such as the Gaussian Unitary Ensemble), as well as iid matrix ensembles. The text is largely self-contained and starts with a review of relevant aspects of probability theory and linear algebra. With over 200 exercises, the book is suitable as an introductory text for beginning graduate students seeking to enter the field., and scientists.
"This book is intended to teach useful matrix algebra to 'students, teachers, consultants, researchers, and practitioners' in 'statistics and other quantitative methods'.The author concentrates on practical matters, and writes in a friendly and informal style . . . this is a useful and enjoyable book to have at hand." -Biometrics
This book is an easy-to-understand guide to matrix algebra and its uses in statistical analysis. The material is presented in an explanatory style rather than the formal theorem-proof format. This self-contained text includes numerous applied illustrations, numerical examples, and exercises.
Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, guiding the Space Shuttle, and developing computer applications in virtual reality. In this book, J. B. Kuipers introduces quaternions for scientists and engineers who have not encountered them before and shows how they can be used in a variety of practical situations.
The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and familiar 3 x 3 (9-element) matrix rotation operator. These parallel presentations allow the reader to judge which approaches are preferable for specific applications. The volume is divided into three main parts. The opening chapters present introductory material and establish the book's terminology and notation. The next part presents the mathematical properties of quaternions, including quaternion algebra and geometry. It includes more advanced special topics in spherical trigonometry, along with an introduction to quaternion calculus and perturbation theory, required in many situations involving dynamics and kinematics. In the final section, Kuipers discusses state-of-the-art applications. He presents a six degree-of-freedom electromagnetic position and orientation transducer and concludes by discussing the computer graphics necessary for the development of applications in virtual reality.
Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results.
The book gives instructors the flexibility to emphasize different aspects--design, analysis, or computer implementation--of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. |
Book DescriptionEditorial Reviews
From the Publisher
In Experiencing Geometry on Plane and Sphere, Henderson invites readers to explore the basic ideas of geometry beyond the formulation of proofs. The text conveys a distinctive approach, stimulating readers to develop a broader, deeper understanding of mathematics through active participation--including discovery, discussion and writing about fundamental ideas. It provides a series of interesting, challenging problems, then encourages readers to gather their reasonings and understandings of each problem and discuss their findings in an open forum.
From the Back Cover
Key Benefit: In Experiencing Geometry on Plane and Sphere, Henderson invites readers to explore the basic ideas of geometry beyond the formulation of proofs. Key Topics: The text conveys a distinctive approach, stimulating readers to develop a broader, deeper understanding of mathematics through active participation—including discovering, discussing and writing about fundamental ideas. It provides a series of interesting, challenging problems, then encourages readers to gather their reasonings and understandings of each problem and discuss their findings in an open forum.
I used this book for a graduate level geometry class, and I found this book to be very enjoyable in terms of thinking that it requires and the way that the author presents the material. I like Henderson's approach to geometry, and I would recommend this book for math majors in college. |
Mathematics for Engineers Second Edition by Robert Davison Wesley. 2. Multivariate ... 3. Wiring Manual by Pak Cables, Limite ...Solution of second order differential equation by theory of operators and its applications ......AppliedThermodynamics for Engineering Technologists, By T.D Eastop and A: Mc .....McConkey |
Improve your maths level 2 (for D/deaf people)
Develop a more advanced understanding of problem solving, formulas and calculation. When you finish part A successfully, you can continue to part B. At the end of the course you will be assessed and can take external assessments if you are ready.
This course is full
Course outline
What is the course about?
This course will help you develop a more advanced understanding of problem solving, formulas and calculation. The course will enable you to develop your skills in using percentages, fractions, measurement and data management. The tutor will encourage you to use your new skills in everyday situations. When you complete the part A of the course, you can carry on into part B. You will take the Level 2 Functional Skills exam at the end of the year.
What topics will we cover?
The course will cover the more complex aspects of fractions, percentages, formulae and forms of mathematical data.
By the end of this course you should be able to:
-add, subtract, multiply and divide decimal numbers and check answers to calculations
-calculate with fractions
-calculate percentages, including percentage change, increase and decrease
-understand and use equivalences between fractions, decimals and percentages
-understand and use positive and negative numbers
-understand and calculate ratio, scale and proportion
-work with formulae (example: converting between Centigrade and Fahrenheit)
-convert between currencies and between imperial and metric measures
-recognise and use 2D representations of 3D objects
-find area, perimeter and volume of common shapes
-interpret statistical measures and tables, graphs and diagrams
-express and compare probabilities
-apply the above to real life problem contexts
-understand outcomes and explain results of calculations.
What level is the course and do I need any particular skills?
You should be able to add, subtract, divide and multiply using a range of methods, work with basic fractions, calculate percentages, interpret information from tables, charts and graphs, and convert units of measure.
How will I be taught, and will there be any work outside the class?
Teaching will be in a supportive group setting, which involves pair and small group work. The interactive whiteboard and computers will help your learning. Handouts, puzzles and worksheets will allow you to build up a folder of work. You will be given homework on a regular basis.
Are there any other costs? Is there anything I need to bring?
You will need a pen, some lined A4 paper, a calculator and a file to keep your work in. Your tutor will provide handouts and worksheets.
Do I need to have an interview before I can enrol?
Yes. Before you can enrol on this course, you need to have an advisory interview with the relevant department. Without this the enrolment team will be unable to process your enrolment. Please contact the department to arrange your interview, or to find out about drop-in sessions.
What feedback will I get?
You will receive regular feedback from your tutor throughout the course, as and when appropriate. At the end of the course you and your tutor are asked to assess the progress you have made. Your tutor will give you feedback individually, and as a group, during the session, and written feedback on the paper exercises you do. You will decide individual learning goals with your tutor and see your progress over the term by keeping a folder of work.
How will I be able to give my views on the course?
Please complete the evaluation form at the end of your course. These are monitored and help us to continually improve our courses. You will have one to one meetings with your tutor about your learning (tutorials), or ask to your tutor to meet. Your tutor will ask for your feedback as a group at different times during the session and in course reviews. You will be able to formally record your views on the course at the end You can discuss any support you need at the assessment and enrolment session, or with your tutor during the course.
When I've finished, what course can I do next?
You can carry on into YM209B, the second part of the course |
Geogebra is a popular, open source maths freeware that can be used to teach/ learn mathematics. Geogebra provides an integrated platform for learning mathematics in a dynamic way, right from the elementary level to the university level.
This free maths learning software creates opportunities to learn mathematics in a new way. It provides a pool of teaching materials, options and interfaces to do so. Every user can register himself and contribute to / edit the pool of materials available. The latest version also includes a set of new commands and options that facilitate more operations to be performed.
Some of the topics that can be taught using this free maths software are measurement, number sense, geometry, Functions and graphs, algebra, statistics, Calculus, Discrete mathematics, probability, vectors, complex numbers, linear programming just to name a few. Also check out Tux Paint and Kidpaint for kids.
Thus Geogebra functions as a Dynamic software for learning mathematics, and is useful for maths learning kids of age groups. It is so useful that it was installed on 3 million netbooks that were given to students in Argentina.
Geogebra is designed to run on various Operating systems like Windows, Mac, Linux (which includes various versions). The installer file is just about 5 MB and the application can be installed in just a few steps. Further Geogebra is an opensource freeware. So the user is free to copy, transfer, and distribute the software for non-commercial purposes.
Sponsored Links
Here are some of the features of this free Maths learning software:
Intuitive graphics and explanation of concepts to make it clear and easily understandable.
Various concepts like algebra, Geometry and calculus can be easily taught and understood using this freeware.
The freeware provides an array of tools and commands to simulate geometrical constructions, algebraic commands etc.,
All learning materials are available free for use and distribution.
The intuitive interface is easy for even the naive users to get used to.
Multi-language support.
The user can also create static instructional material that can be used later for teaching purposes.
Creating dynamic worksheets, saving them as documents etc., can also be done.
Be the first to know about Latest Free Software:
Well do you have a download link for GeoGebra on this website or not…. the first thing I would like to start off my day with is hunting for hours for free software just to find theirs every link in the world on youir site but the file that im looking for…. Sometimes I think that websites are purposly trying to keep Americans stupid,….. Thanks for nothing… just like the library … their excuse is I dont know… why the page blanks out when you go to the developers website… ( ) aint that the first thing you want to d…. is waist your time.?
Ishan
@Earnest: I checked GeoGebra site again, and it is working fine. I am not sure why are you facing any problem. |
Monday, January 2, 2012
From the ACT Expert: Exactly What Math is Needed for the ACT
Standardized
tests are an inescapable part of the college application process. The ACT is a test taken by many applicants. This article is a 'laundry list' of the Math
you should prepare specifically for the ACT.
You
need to be prepared for each of these topics.
·Basic
math word problems – you must be able to see how word problems translate to
math expressesions
·Math
Operations – Common operations
oFractions
oDecimals
oPercents
oConverting fractions to decimals
to percents and back
oExponents
oSimplifying radicals
oRatios
·Math
Concepts –more advanced concepts:
oOrder of operations
oPath – Very often the hard
problems involve a series of operations– finding that path is a skill worth
refining in your preparation
oInclusive and exclusive counting
oAbsolute value
oSimple probability
oCombinatorics – This is the
formal name for a fairly common kind of problem: For example:
Max must choose three workers for his team. There are 8 workers. How many different teams can he create? These can be time consuming or quick and easy
depending on your preparation for them.
·Algebra
accounts for 70% of the test. Here are
specific skills:
oLinear equations are very often
presented in word problems.
oSystems of equations – These
turn up frequently on the SAT, sometimes with three equations in the system.
oAverages – Problems involving
these are sometimes quite simple, but be ready for problems that give the
average of some numbers and expect you to solve 'backwards' for an individual number
in the list.
oFactoring – This skill is
essential to the harder SAT math questions.
Prime factorization is also needed, both alone and as part of factoring
polynomials.
oFunctions
oRate and Distance Problems
oBasic Matrices – simple examples
that require matrix manipulatkions
·Geometry
topics: Questions involving geometry are
both some of the simplest and some of the hardest ones. Unlike the SAT NO formulae are provided.
oTriangles are the most important
figures to know.
oPythagorean Theorem
oSimilar triangles
oPlane figures – You will need to
be able to find the perimeters and areas of plane figures.
oSolid figures – Surface area,
lengths of edges and volume are called for. Again, they GIVE many formulae.
oAngle relationships
oCoordinate Algebra and Graphs
·Trigonometry
is not more than 5-7% of the ACT Math and each of these topics is at the level
one would expect in a combines Algebra II/Trigonometry course.
otrigonometric relations in right
triangles
ovalues and properties of
trigonometric functions
ographing trigonometric functions
otrigonometric identities
ologarithms
If you
have good understanding of these topics and practice them in your preparation
you will be able to give a good showing on the mathematics portion of the ACT. If you struggle, by all means work with a tutor
or take a preparation course. Remember
that the ACT is a very important part of your college application packet.
Overlook on VIdeo
Your ROAD to SUCCESS
Overlook Tutorial Academy is a tutoring center, a registered private school and a resource center for parents and students looking for personalized services.
Our tutoring is done by certificated teachers and tutors with advanced degrees and years of experience.
Our tutors have experience with a different grade-levels from our youngest students to Middle School and High School to those taking college courses. We target the core subjects: English, Reading, Arithmetic, Math, Algebra, Geometry, History, Science, Biology, Chemistry and Physics. Along with that we have tutors who can support foreign language, arts, music, and technology courses.
So MANY standardized tests are required these days – CAHSEE, PSAT, SAT I and SAT II subject tests, ACT and the many Advanced Placement tests [AP Literature, AP History, AP Chemistry, AP Math, AP Physics, AP Languages…and more]. Success on each of these tests needs solid work in class, of course, and a focused and planned preparation course. Overlook knows that each student has different specific needs for review and preparation. We always begin with a practice test as a diagnostic and use the results of that test as the guideline for customizing the course to the student.
From time to time Homeschooling families need to call upon outside educators for specific courses or topics. Overlook Tutorial Academy is JUST what is needed. We will PLAN a standards aligned program, gather materials, instruct, or help instruct, evaluate progress and handle record keeping. This allows the parents to put their effort into educating the whole child, not into facilitating one or the other challenging course.
We have an array of services for College Bound Scholars. We offer tutoring, of course, and standardized testing preparation. So often simple grade recovery, that is replacing a low grade with a better one, is important in gathering the credentials that will get a young person accepted at the university of their choice.
Overlook's regular tutorials can be just the support needed.
Overlook has College experts who can offer the sort of college guidance and assistance that school counselors once were able to give. Let us assist in campus research, college major selections and in perfecting each and every college essay and college application submitted.
Choose Overlook Tutorial Academy because we are in business locally since 2003 [as BayView Open School], because our experts are the best, because we have the right offering at the right time and because our pricing options are as responsive as our curriculum. |
David Cohen's PRECALCULUS, WITH UNIT-CIRCLE TRIGONOMETRY, Fourth Edition, focuses on teaching mathematics, using a graphical perspective throughout to provide a visual understanding of college algebra and trigonometry. The author is known for his clear writing style and the numerous quality exercises and applications he includes in his respected texts. In this new edition, graphs, visualization of data, and functions are now introduced much earlier and receive greater emphasis. Many sections now contain more examples and exercises involving applications and real-life data. While this edition takes the existence of the graphing calculator for granted, the material is arranged so that one can teach the course with as much or as little graphing utility work as he/she wishes. |
MATHCOUNTS® Prep
Course Description
Description
This course is intended to prepare students for future MATHCOUNTS® training and competition by strengthening their analytical and problem-solving skills. It is designed to challenge and motivate students who have had no previous MATHCOUNTS® experience. The web-based virtual classroom provides interactive and team-building experiences for students.
Each topic covered in the course is independent of the other topics. One topic is taught a week on a continuous repeating basis. Students will not necessarily start with "Topic 1" in their first week of enrollment, but all topics will be covered in a 3-month enrollment. When all topics are covered, a student then takes the final exam.
Topics include:
averages
estimation
fractions
decimals and percents
exponential expressions
scientific notation
probability
statistics
area and volume
geometry
number theory
patterns
logic
Materials Needed
There are no required materials for this course.
List of Topics
The following topics will be covered in this course:
Integers
Fractions and Decimals
Variables, Functions & Expressions
Exponents and Radicals
Number Sense and Patterns
Algebra
Plane Geometry and Solid Geometry
Coordinate System
Probability and Statistics
Graphs and Diagrams
Transformations and Similarity
Virtual Classroom Session Times
Session Times
The instructor will hold virtual classroom sessions each week at the following times:
Monday from 8:00 PM ET to 9:00 PM ET
Tuesday from 8:00 PM ET to 9:00 PM ET
Virtual Classroom Demo
Demo
Click on the image below to view a demo of Adobe Connect:
System Requirements
All CTYOnline courses require a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer). Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).
This course uses an online classroom for individual or group discussions with the instructor. The classroom works on standard computers with the Adobe Flash plugin, and also tablets or handhelds that support the Adobe Connect Mobile app. |
Learning Math: Patterns, Functions and Algebra
Patterns In Context (#102)
Explore the processes of finding, describing, explaining, and predicting using patterns. Topics covered include how to determine if patterns in tables are uniquely described and how to distinguish between closed and recursive descriptions. This session also introduces the idea that there are many different conceptions of what algebra is. [26 minutes]
This episode has not aired in the past few months on Iowa Public Television "LEARNING MATH: Patterns, Functions, and Algebra," organized around NCTM content standards, strives to help teachers better understand the mathematics concepts underlying the content that they teach. This professional development series explores the 'big ideas' in algebraic thinking, such as finding, describing, and using patterns; using functions to make predictions; understanding linearity and proportional reasoning; understanding non-linear functions; and understanding and exploring algebraic structure. |
Vector Analysis for Computer Graphics
An ideal course book for mathematics undergraduates and graduates alike, this is a complete introduction to vector analysis/ Each topic covered is given a practical application within computer graphics.
Vector analysis is relatively young in the history of mathematics, however, in the short period of its existence it has become a powerful and central tool in describing and solving a wide range of geometric problems, many, of which, arise in computer graphics. These may be in the form of describing lines, surfaces and volumes, which may touch, collide, intersect, or create shadows upon complex surfaces. Vector Analysis for Computer Graphics provides a complete introduction to vector analysis, especially within the context of computer graphics. The author shows why vectors are useful and how it is possible to develop analytical skills in manipulating the vector algebra. Each topic covered is placed in the context of a practical application within computer graphics. The book is divided into eleven chapters covering the mathematical foundations of vector algebra and its application to lines, planes, intersections, rotating vectors, vector differentiation, projections, rendering and motion.
Table of Contents
Table of Contents
Scalars and Vectors.
Vector Representation.
Straight Lines.
The Plane.
Reflections.
Intersections.
Rotating Vectors.
Vector Differentiation.
Projections.
Rendering.
Motion.
Appendix A: Vector Algebra.
Appendix B: Vector Triple Product |
Mathematics 3321 - Multivariable Calculus
Topics including functions of several variables, gradients, partial derivatives and multiple integrals, vector
fields, Green's & Stoke's theorems, and applications.
TEACHERS OF MATHEMATICS (5-12)
A. A teacher of mathematics understands patterns, relations, functions, algebra, and basic concepts
underlying calculus from both concrete and abstract perspectives and is able to apply this
understanding to represent and solve real world problems. The teacher of mathematics must
demonstrate knowledge of the following mathematical concepts and procedures and the connections
among them:
(2) analyze the interaction between quantities and variables to model patterns of change and use
appropriate representations including tables, graphs, matrices, words, ordered pairs, algebraic
expressions, algebraic equations, and verbal descriptions; (K ,P, A)
(3) represent and solve problem situations that involve variable quantities and use appropriate
technology; (K ,P, A)
(6) apply concepts of derivatives to investigate problems involving rates of change; (K ,P, A)
(7) apply concepts and standard mathematical representations from differential, integral and
multivariate calculus; linear algebra, including vectors and vector spaces; and transformational
operations to solve problems; and (K ,P, A)
C. A teacher of mathematics understands that number sense is the underlying structure that ties
mathematics into a coherent field of study, rather than an isolated set of rules, facts, and formulae.
The teacher of mathematics must demonstrate knowledge of the following mathematical concepts and
procedures and the connections among them:
(4) application of appropriate methods of estimation of quantities and evaluation of the reasonableness
of estimates; (K ,P, A)
(5) a knowledge of elementary operations, application of properties of operations, and the estimation
of results; (K ,P, A)
(6) geometric and polar representation of complex numbers and the interpretation of complex solutions
to equations; (K ,P, A)
D:\Docstoc\Working\pdf\889dc607-b055-45f3-aa37-ae276347f56b.doc
Original Date: 09 |
Stay mobile, continue learning - transfer class assignments from handheld to computer. Complete work outside of school using student software. On the desktop at home or a laptop on the bus, at the library, coffee shop... wherever.
Explore higher-level math concepts Explore symbolic algebra and symbolic calculus, in addition to standard numeric calculations. View exact values - in the form of variables such as x and y, radicals and pi - when doing step-by-step arithmetic, algebraic and calculus calculations.
Visualize in full color Color-code equations, objects, points and lines on the full-color, backlit display. Make faster, stronger connections between equations, graphs and geometric representations on screen.
Recharge with ease The installed TI-Nspire Rechargeable Battery is expected to last up to two weeks of normal use on a single charge. No alkaline batteries needed.
Calculate in style The sleek TI-Nspire CX handheld is the thinnest and lightest TI graphing calculator model to date. It's also the brightest with a high-resolution, full-color display that makes it easy to see every exponent, variable and line.
Chemical notation Take advantage of the Chem Box feature that lets you easily use chemical notation.
From the kitchen table to the playground, children are intrigued by their world. The TI 15 is a pedagogically sound
tool that helps students make connections between classroom learning and real world situations.The TI 15 combines the fraction capabilities of ...
The Explorer TI 73 ViewScreen Graphing Calculator joins our popular line of handheld technology, providing a larger screen alternative for
teachers who feel limited by the two line display of other fraction and scientific models. The Explorer TI 73 |
Beginning and Intermediate Algebra Activities - 2nd edition
Summary: "This collection of activities facilitates discovery learning, collaborative learning, graphing technology, connections with other areas of mathematics and other disciplines, oral and written communication, real data collection, and active learning. Designed as a stand-alone supplement for any beginning or intermediate algebra text, it incorporates the recommendations from NCTM in "Curriculum and Evaluation Standards for School Mathematics" and from AM...show moreATYC in "Crossroads in Mathematics Standards for Introductory College Mathematics Before Calculus." Providing maximum flexibility, the activities can be used during class or in a laboratory setting to introduce, teach, or reinforce a topic." ...show less
0534998739 Good Condition! Used texts may NOT contain supplemental materials such as CD40 +$3.99 s/h
New
Directtext4u El Monte, CA
PAPERBACK New 0534998739 New book may have school stamps but never issued. 100% guaranteed fast shipping! !
$15.29 +$3.99 s/h
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Little Italy Books Marietta, GA
2004-02-16 Paperback Like New Book appears unused. covers have light wear. Pages are clean and unmarked/I will ship promptly with free delivery/tracking confirmation. Why wait, for a few dollars mo...show morere choose expedited shipping and receive your order in a couple of days. ...show less
$22.95 +$3.99 s/h
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Big Planet Books Burbank, CA
2004-02 |
introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. Examples of nontrivial and often unexpected topological phenomena acquaint the reader with the picturesque world of knots, links, vector fields, and two-dimensional surfaces. The book begins with definitions presented in a tangible and perceptible way, on an everyday level, and progressively makes them more precise and rigorous, eventually reaching the level of fairly sophisticated proofs. This allows meaningful problems to be tackled from the outset. Another unusual trait of this book is that it deals mainly with constructions and maps, rather than with proofs that certain maps and constructions do or do not exist. The numerous illustrations are an essential feature. The book is accessible not only to undergraduates but also to high school students and will interest any reader who has some feeling for the visual elegance of geometry and topology.
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Practice makes perfect-and helps deepen your understanding of 1,001 I Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in I For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in . You start with some basic operations, move on to ic properties, polynomials, and quadratic equations, and finish up with graphing.
He author defines "Geometric Computing" as the geometrically intuitive development of algorithms using geometric with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric as a powerful, intuitive mathematical language for engineering applications in academia and industry. |
Chapter 2. Understanding Computer Math and Measurement
Chapter 2. Understanding Computer Math and Measurement
This chapter covers the following subjects:
Numbering Systems Used in Computers—This section discusses the decimal, binary, and hexadecimal numbering systems, as well as conversions between those systems. The basics of bits and bytes are covered in this section as well.
Basic Boolean Operations—In this section, you learn the basics about Boolean algebra that use three main operators: AND, OR, and NOT.
In this chapter, we discuss computer math and measurement as they apply to today's operating systems and computer hardware. Concepts such as bits versus bytes, binary versus decimal, Boolean operators, Hertz, and data transfer are important to understand so that you have a solid foundation of computer knowledge. |
Precalculus with Unit-Circle Trigonometry - 3rd edition
Summary: This book introduces trigonometry through the unit circle. Cohen emphasizes graphing to explain complex concepts in an uncomplicated style, and provides supplementary graphing-calculator exercises at the end of most sections for additional perspective and reinforcement.
Trigonometric Functions of Real Numbers. Graphs of the Sine and the Cosine Functions. Graphs of y = A sin(Bx-C) and y = A cos(Bx - C). Simple Harmonic Motion. Graphs of the Tangent and the Reciprocal Functions.
Right-Triangle Applications. The Law of Sines and the Law of Cosines. Vectors in the Plane, a Geometric Approach. Vectors in the Plane, an Algebraic Approach. Parametric Equations. Introduction to Polar Coordinates. Curves in Polar Coordinates.
PART X. SYSTEMS OF EQUATIONS.
Systems of Two Linear Equations in Two Unknowns. Gaussian Elimination. Matrices. The Inverse of a Square Matrix. Determinants and Cramer's Rule. Nonlinear Systems of Equations. Systems of Inequalities.
PART XI. ANALYTIC GEOMETRY.
The Basic Equations. The Parabola. Tangents to Parabolas (Optional). The Ellipse. The Hyperbola. The Focus-Directrix Property of Conics. The Conics in Polar Coordinates. Rotation of Axes.
PART XII. ROOTS OF POLYNOMIAL EQUATIONS.
The Complex Number System. Division of Polynomials. Roots of Polynomial Equations : The Remainder Theorem and the Factor Theorem. The Fundamental Theorem of Algebra. Rational and Irrational Roots. Conjugate Roots and Descartes' Rule of Signs. Introduction to Partial Fractions. More About Partial Fractions.
Buy with Confidence. Excellent Customer Support. We ship from multiple US locations. No CD, DVD or Access Code Included.
$34.79 |
I am taking a networking class(data communication) this coming semester. In many courses in my computer engineering degree, the books lack mathematical content. I am not a math wizard, but I think mathematics has the potential to give a much deeper understanding of different concepts, but it requires more work.
Is it a good idea to focus on information theory(found a cool book by a researcher from Bell Labs) and use a more "high level" book like Computer networking, A top down approach as supplementary text?
1 Answer
At the very lowest level, information theory is highly relevant to networking, as it lays the foundation for getting the best combination of peak bandwidth and error resilence from your hwardware.
However, that part is probably not going to be covered in much detail in a class on networking, as it's mainly relevant to hardware developers. Higher levels of the networking stack are probably going to get more attention. So it's probably not ideal to focus your attention on that part.
But this is guesswork - why not ask the professor who will hold the class? |
+ By I&Combine
Bapul is a free study networking service that allows anyone to post math questions and get quick answers from others. You can post questions using your smartphone by taking pictures or using stylus. This makes it easy for you to post questions that include geometry and other visual components. Welcome to the new world of math and enjoy making friends with others by posting and answering questions!
How You Can Use Bapul? 1. To find out what your friends are having trouble with and see if you can help! 2. To improve your understanding while helping others. 3. To become friends with math geniuses, students, and many more.
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바풀 수학.
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1. Ask and answer questions by taking pictures. 2. Become friends with others. 3. Make a collection of questions your friends have. 4. Use stylus to solve the questions even more easily. |
Description: Calculus isn't just a required math class to weed out would-be science majors-it's a useful way to understand the patterns in physics, economics, and the natural world. With its distinctive mix of serious educational content and Japanese-style comics, The Manga Guide to Calculus will entertain you while it helps you understand the key concepts of calculus (and ace those exams).
Our story begins as Noriko, a recent liberal arts grad, arrives at a branch office of the Asagake Newspaper to start her career as a journalist. With the help of her overbearing and math-minded boss Kakeru, she's finally able to do some real reporting. But Noriko soon discovers the mathematical functions behind all the stories she struggles to cover.
How to integrate and differentiate trigonometric and other complicated functions
Multivariate calculus and partial differentiation
Taylor expansions
Reluctant calculus students of all abilities will enjoy following along with Noriko as she learns calculus from Kakeru's quirky stories and examples. This charming and easy-to-read guide also includes an appendix with answers to the book's many useful exercises.
This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo |
Linear Algebra. Ideas and Applications. 3rd Edition
This expanded new edition presents a thorough and up-to-date introduction to the study of linear algebra
Linear Algebra, Third Edition provides a unified introduction to linear algebra while reinforcing and emphasizing a conceptual and hands-on understanding of the essential ideas. Promoting the development of intuition rather than the simple application of methods, the book successfully helps readers to understand not only how to implement a technique, but why its use is important.
The book outlines an analytical, algebraic, and geometric discussion of the provided definitions, theorems, and proofs. For each concept, an abstract foundation is presented together with its computational output, and this parallel structure clearly and immediately illustrates the relationship between the theory and its appropriate applications. The Third Edition also features: - A new chapter on generalized eigenvectors and chain bases with coverage of the Jordan form and the Cayley-Hamilton theorem - A new chapter on numerical techniques, including a discussion of the condition number - A new section on Hermitian symmetric and unitary matrices - An exploration of computational
approaches to finding eigenvalues, such as the forward iteration, reverse iteration, and the QR method - Additional exercises that consist of application, numerical, and conceptual questions as well as true-false questions
Illuminating applications of linear algebra are provided throughout most parts of the book along with self-study questions that allow the reader to replicate the treatments independently of the book. Each chapter concludes with a summary of key points, and most topics are accompanied by a "Computer Projects" section, which contains worked-out exercises that utilize the most up-to-date version of MATLAB(r). A related Web site features Maple translations of these exercises as well as additional supplemental material.
Linear Algebra, Third Edition is an excellent undergraduate-level textbook for courses in linear algebra. It is also a valuable self-study guide for professionals and researchers who would like a basic introduction to linear algebra with applications in science, engineering, and computer science.
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Preface.
Features of the Text.
1. Systems of Linear Equations.
1.1 The Vector Space of m x n Matrices.
The Space Rn.
Linear Combinations and Linear Dependence.
What Is a Vector Space?
Why Prove Anything?
True-False Questions.
Exercises.
1.1.1 Computer Projects.
Exercises.
1.1.2 Applications to Graph Theory I.
Self-Study Questions.
Exercises.
1.2 Systems.
Rank: The Maximum Number of Linearly Independent Equations.
True-False Questions.
Exercises.
1.2.1 Computer Projects.
Exercises.
1.2.2 Applications to Circuit Theory.
Self-Study Questions.
Exercises.
1.3 Gaussian Elimination.
Spanning in Polynomial Spaces.
Computational Issues: Pivoting.
True-False Questions.
Exercises.
Computational Issues: Flops.
1.3.1 Computer Projects.
Exercises.
1.3.2 Applications to Traffic Flow.
Self-Study Questions.
Exercises.
1.4 Column Space and Nullspace.
Subspaces.
Subspaces of Functions.
True-False Questions.
Exercises.
1.4.1 Computer Projects.
Exercises.
1.4.2 Applications to Predator-Prey Problems.
Self-Study Questions.
Exercises.
Chapter Summary.
2. Linear Independence and Dimension.
2.1 The Test for Linear Independence.
Bases for the Column Space.
Testing Functions for Independence.
True-False Questions.
Exercises.
2.1.1 Computer Projects.
2.2 Dimension.
True-False Questions.
Exercises.
2.2.1 Computer Projects.
Exercises.
2.2.2 Applications to Calculus.
Self-Study Questions.
Exercises.
2.2.3 Applications to Differential Equations.
Self-Study Questions.
Exercises.
2.2.4 Applications to the Harmonic Oscillator.
Self-Study Questions.
Exercises.
2.2.5 Computer Projects.
Exercises.
2.3 Row Space and the Rank-Nullity Theorem.
Bases for the Row Space.
Rank-Nullity Theorem.
Computational Issues: Computing Rank.
True-False Questions.
Exercises.
2.3.1 Computer Projects.
Chapter Summary.
3. Linear Transformations.
3.1 The Linearity Properties.
True-False Questions.
Exercises.
3.1.1 Computer Projects.
3.1.2 Applications to Control Theory.
Self-Study Questions.
Exercises.
3.2 Matrix Multiplication (Composition).
Partitioned Matrices.
Computational Issues: Parallel Computing.
True-False Questions.
Exercises.
3.2.1 Computer Projects.
3.2.2 Applications to Graph Theory II.
Self-Study Questions.
Exercises.
3.3 Inverses.
Computational Issues: Reduction vs. Inverses.
True-False Questions.
Exercises.
Ill Conditioned Systems.
3.3.1 Computer Projects.
Exercises.
3.3.2 Applications to Economics.
Self-Study Questions.
Exercises.
3.4 The LU Factorization.
Exercises.
3.4.1 Computer Projects.
Exercises.
3.5 The Matrix of a Linear Transformation.
Coordinates.
Application to Differential Equations.
Isomorphism.
Invertible Linear Transformations.
True-False Questions.
Exercises.
3.5.1 Computer Projects.
Chapter Summary.
4. Determinants.
4.1 Definition of the Determinant.
4.1.1 The Rest of the Proofs.
True-False Questions.
Exercises.
4.1.2 Computer Projects.
4.2 Reduction and Determinants.
Uniqueness of the Determinant.
True-False Questions.
Exercises.
4.2.1 Application to Volume.
Self-Study Questions.
Exercises.
4.3 A Formula for Inverses.
Cramer's Rule.
True-False Questions.
Exercises 273.
Chapter Summary.
5. Eigenvectors and Eigenvalues.
5.1 Eigenvectors.
True-False Questions.
Exercises.
5.1.1 Computer Projects.
5.1.2 Application to Markov Processes.
Exercises.
5.2 Diagonalization.
Powers of Matrices.
True-False Questions.
Exercises.
5.2.1 Computer Projects.
5.2.2 Application to Systems of Differential Equations.
Self-Study Questions.
Exercises.
5.3 Complex Eigenvectors.
Complex Vector Spaces.
Exercises.
5.3.1 Computer Projects.
Exercises.
Chapter Summary.
6. Orthogonality.
6.1 The Scalar Product in Rn.
Orthogonal/Orthonormal Bases and Coordinates.
True-False Questions.
Exercises.
6.1.1 Application to Statistics.
Self-Study Questions.
Exercises.
6.2 Projections: The Gram-Schmidt Process.
The QR Decomposition 334.
Uniqueness of the QR-factoriaition.
True-False Questions.
Exercises.
6.2.1 Computer Projects.
Exercises.
6.3 Fourier Series: Scalar Product Spaces.
Exercises.
6.3.1 Computer Projects.
Exercises.
6.4 Orthogonal Matrices.
Householder Matrices.
True-False Questions.
Exercises.
6.4.1 Computer Projects.
Exercises.
6.5 Least Squares.
Exercises.
6.5.1 Computer Projects.
Exercises.
6.6 Quadratic Forms: Orthogonal Diagonalization.
The Spectral Theorem.
The Principal Axis Theorem.
True-False Questions.
Exercises.
6.6.1 Computer Projects.
Exercises.
6.7 The Singular Value Decomposition (SVD).
Application of the SVD to Least-Squares Problems.
True-False Questions.
Exercises.
Computing the SVD Using Householder Matrices.
Diagonalizing Symmetric Matrices Using Householder Matrices.
6.8 Hermitian Symmetric and Unitary Matrices.
True-False Questions.
Exercises.
Chapter Summary.
7. Generalized Eigenvectors.
7.1 Generalized Eigenvectors.
Exercises.
7.2 Chain Bases.
Jordan Form.
True-False Questions.
Exercises.
The Cayley-Hamilton Theorem.
Chapter Summary.
8. Numerical Techniques.
8.1 Condition Number.
Norms.
Condition Number.
Least Squares.
Exercises.
8.2 Computing Eigenvalues.
Iteration.
The QR Method.
Exercises.
Chapter Summary.
Answers and Hints.
Index.
"Linear Algebra (third edition) is an excellent undergraduate-level textbook for courses in linear algebra. It is also valuable self-study guide for professionals and researches who would like a basic introduction to linear algebra with applications in science, engineering, and computer science." (Mathematical Review, Issue 2009e)
"This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." (Electric Review, November 2008)
"This book should make a good text for introductory courses." (Computing Reviews, September 30, 2008) |
More About
This Textbook
Product Details
ISBN-13: 9780669418149
Publisher: CENGAGE Learning
Publication date: 11/28/1996
Edition description: Older Edition
Edition number: 2
Table of Contents
(Each chapter is followed by a Summary, Review Exercises, and Practice Test, and every chapter except Chapter 1 is also followed by Cumulative Review Exercises.) Preface. To The Student. Learning Styles Inventory. 1. Whole Numbers.
Decimals and Rational and Irrational Numbers.
Adding and Subtracting with Decimals, and Solving Equations.
Multiplying Decimals; Exponents with Decimal Bases.
Dividing and Roots with Decimals.
Order of Operations.
Solving Equations and Problem Solving.
7. Ratios, Proportions, and Measurement.
Ratios, Probability, and Rates.
Proportions.
American Measurement.
Metric Measurement.
Converting Between the American and Metric Systems.
Applications and Problem Solving |
Binomial Theorem Teacher Resources
Find Binomial Theorem educational ideas and activities
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A week's worth of teaching on the Binomial Theorem. Lesson examples and a plethora of worksheets included. Learners find coefficients of specific terms within binomial expansions using notation of factorials and then apply these skills in using the Binomial Theorem to find solutions to practical applications.
A comprehensive lesson that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few other formulas and functions related to this theorem will be explored.
In this Algebra II worksheet, 11th graders apply the binomial theorem to expand a binomial and determine a specific term of the expansion. The one page worksheet contains four problems. Answers are provided.
In this binomial expansions practice instructional activity, students utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
In this binomial theorem learning exercise, students identify the coefficients of a binomial expansion. They determine the designated term of an expansion. This two-page learning exercise contains 13 problems.
Continuing his discussion of the Poisson Distribution (or Process) from the previous video, Sal takes students through the derivation of the traffic problem he had begun. The math gets gritty in this video as Sal takes out the graphic calculator to solve the problem.
In this system of equations worksheet, 11th graders solve and complete 23 various types of problems. First, they graph each system of inequalities shown. Then, students write a polynomial function of least degree with integral coefficients that has the given zeros. They also determine the equation for each conic, name the conic and state the center.
For this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution to contextual problems. In addition, they use generating functions to solve non-homogeneous equations.
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra activity, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to repay a $2000 loan using different interest rates.
In this Algebra II worksheet, 11th graders solve problems in which they find the indicated term of the binomial expansion. The two page worksheet contains a combination of ten multiple choice and free response questions. Answers are included. |
0486695735
9780486695730
The Green Book of Mathematical Problems:This convenient volume offers a popular selection of 100 practice problems — with hints and solutions — for students preparing for undergraduate-level math competitions. The challenging brainteasers will also appeal to anyone interested in problems concerning real numbers, differential equations, integrals, polynomials, sets, and other mathematical topics. The hints are very helpful and the solutions are easy to follow. Questions drawn from geometry, group theory and linear algebra involve subjects ranging from multivariate integration to finite series to infinite sums and classical analysis. The only prerequisite is a high school-level background in mathematics. Problem-solvers at varying degrees of proficiency will find this treasury of top-notch numerical puzzles an invitation to hone their mathematical skills as well as a source of stimulating entertainment.
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Rent The Green Book of Mathematical Problems 1st edition today, or search our site for Kenneth textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Dover Publications, Incorporated. |
This course begins with a brief review of elementary algebraic concepts and then covers more advanced factoring, operations on rational expressions and radical expressions, quadratic equations, the rectangular coordinate system, and exponential and logarithmic functions.
Who should take this course?
Students with the following placement scores: COMPASS:
26-75 Pre-Algebra
and 0-15 Algebra
Students with the following placement scores: COMPASS:
76-100 Pre-Algebra
16-26 Algebra SAT: up to 489 ACT: up to 14
Students with the following placement scores: COMPASS:
27-50 Algebra SAT: 490-530 ACT: 15-21
Course
Materials
There is no text required for this course this semester. All materials will be provided to students free of charge.
The Academic Support Center will engage and empower individuals to become
confident, capable, independent learners while providing academic instruction and support in a safe and encouraging environment. |
...
Show More make this a must-have resource for mathematically-minded students. The brains behind this resource, Ron Larson, received his Ph.D. in mathematics from the University of Colorado. He has served as a professor of mathematics at The Pennsylvania State University since 1970. Larson is credited with revolutionizing the use of multimedia to enhance mathematics instruction, having authored over 30 software titles since 1990. He has also conducted several seminars and in-service workshops for math teachers around the nation devoted to the incorporation of computer technology as a teaching tool and motivational aid. Larson was awarded the 1996 Texty Award for his Interactive Calculus which serves as a complete text on CD-ROM which was deemed the most innovative mathematics instructional material at the college level. Larson has craftily organized the concepts of College Algebra across 8 chapters, starting with a 'Prerequisites' section devoted to the review of real numbers and their properties, exponents and radicals, polynomials and special products, factoring polynomials, rational expressions, as well as the rectangular coordinate system and graphs. Chapter 1 takes a look at 'Equations, Inequalities, and Mathematical Modeling' while chapter 2 delves into 'Functions and their Graphs.' Chapter 3 focuses on 'Polynomial Functions' with chapter 4 investigating 'Rational Functions and Conics' and chapter 5 presenting topics surrounding 'Exponential and Logarithmic Functions.' 'Systems of Equations and Inequalities' is the focus of chapter 6 followed by 'Matrices and Determinants' in chapter 7. This text is concluded with chapter 8 devoted to 'Sequences, Series, and Probability |
Math Level P: Triangles, Vectors, Matrices
In Level XV, students continue their study of calculus by studying advanced integration (definite and indefinite) and applications of integration. Students are also introduced to differential equations |
Do your students attempt to memorize facts and mimic examples to make it through algebra? James Stewart, author of the worldwide, best-selling ...Show synopsisDo your students attempt to memorize facts and mimic examples to make it through algebra? James Stewart, author of the worldwide, best-selling calculus texts, saw this scenario time and again in his classes. So, along with longtime coauthors Lothar Redlin and Saleem Watson, he wrote "College Algebra, 6/e, International Edition" specifically to help students learn to think mathematically and to develop genuine problem-solving skills. Comprehensive and evenly-paced, the text has helped hundreds of thousands of students. Incorporating technology, real-world applications, and additional useful pedagogy, the sixth edition promises to help more students than ever build conceptual understanding and a core of fundamental skills.Hide synopsis
Description:New. INSTRUCTOR'S EDITION which is the same as the student...New. INSTRUCTOR'S EDITION which is the same as the student edition with a modified cover and includes all answers in back of the book in the answer section. Marked not for sale with disclaimer. (6th edition). |
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MAT-111 Contemporary Mathematics3
credits
Prerequisites: MAT-105 or equivalent course with minimum grade of C or placement.
A course designed to explore some of the great ideas in mathematics, and to discover the power of mathematical thinking in everyday life. Topics include counting techniques, infinity, geometry, shape and space, chaos and fractals, and decision science. |
SM2A An Introduction to Vectors. This video is suitable for students in Year 12 studying Specialist Mathematics or for those in Year 11 studying General Mathematics A, in the State of Victoria, Australia. 39 more words |
Schaum's Mathematical Handbook of Formulas and Tables outline supplies a collection of mathematical formulas and numerical tables used by students of mathematics, physics, engineering, and other sciences. The book covers elementary concepts in algebra, geometry, etc. and more advanced concepts in differential equations and vector analysis. This revision will eliminate unnecessary tables (which provide values that are easily obtained on graphing calculators) and will provide important formulas in Numerical Analysis, a required course for juniors and seniors majoring in mathematics. ... MOREyle="width:100%" />Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables invaluable. Half a million copies were sold of the first edition! Excluding rarely used results, topics range from elementary to advanced, from algebra, trigonometry and calculus to vector analysis, Bessel and Legendre functions and elliptical functions. |
Prealgebra - 5th edition
Summary: Prealgebra, 5/e, is a consumable worktext that helps students make the transition from the concrete world of arithmetic to the symbolic world of algebra. The Aufmann team achieves this by introducing variables in Chapter 1 and integrating them throughout the text. This text's strength lies in the Aufmann Interactive Method, which enables students to work with math concepts as they're being introduced. Each set of matched-pair examples is organized around an objective...show more and includes a worked example and a You Try It example for students. In addition, the program emphasizes AMATYC standards, with a special focus on real-sourced data. The Fifth Edition incorporates the hallmarks that make Aufmann developmental texts ideal for students and instructors: an interactive approach in an objective-based framework; a clear writing style; and an emphasis on problem solving strategies, offering guided learning for both lecture-based and self-paced courses. The authors introduce two new exercises designed to foster conceptual understanding: Interactive Exercises and Think About It Very good BOOK IS VERY CLEAN INSIDE. NO WRITING OR HIGHLIGHTING. BOOK HAS TAPE AND USED BOOK STICKERS ON THE COVER. GREAT SHAPE.
$99.97 +$3.99 s/h
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Balkanika Online WA Woodinville, WA
PAPERBACK New 0618956883 Brand new book. STUDENT US EDITION. Never used. Nice gift. Best buy. Shipped promptly and packaged carefully.
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Texts Direct Lexington, KY
2010 Paperback Good This listing is for a paperback book not a DVD set. This is an AIE copy and includes answers. Perfect condition. Great dicounted text. Ships same or next business day. NO INTERN...show moreATIONAL ORDERS PLEASE |
Functions and Graphs
Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text ...Show synopsisClear provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics Hardcover. May include moderately worn cover, writing,...Good. Hardcover. May include moderately worn cover, writing, markings or slight discoloration. SKU: 97Fine. Hardcover. Instructor Edition: Same as student edition...Fine. Hardcover. Instructor Edition: Same as student edition with additional notes or answers. Almost new condition. SKU: 9780840068927-2-0-1Reviews of Precalculus: Functions and Graphs
This book moves too fast with poor examples. I also purchased the solutions guide which was also poor. The first example of a set of problems is shown with all stepps required to complete it but then the more difficult problems do not show the important steps so that I could see where I went wrong ...
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Discussions about Precalculus: Functions and Graphs
This is the poorest Math book I ever came across in the over 20 years I have been doing Math. There is not proper order in the book - sub topics are introduced right in the middle of a paragraph. No clear presentation of info - after reading a a whole Section I am still left wondering how to |
...DeadLine is a free program useful for solvingequations, plotting graphs and obtaining an in-depth analysis...numerical calculus, in a very intuitive approach. Most equations are supported, including algebraic equations, trigonometric equations, exponential...equations, parametric equations. DeadLine solves equations graphically and numerically. It displays the graph of...projects.
...ODEcalc for Windows: An Ordinary Differential Equation (ODE) Calculator! State your equation and boundary or...in BVP and IVP plus their importance in solving practical ODEs. ODE and algebraic system of equations...
...EBAS is a program for balancing chemical equations and stoichiometry calculations. Built in reagent database and...concentration and ideal gas calculators simplify solving of all kinds of stoichiometry questions, both textbook...gas for any temperature and pressure values. Balanced equation can be exported through clipboard in numerous formats...
...This bilingual problem-solving mathematics software allows you to work through 84102 trigonometric problems with guided solutions, and encourages to learn through in-depth understanding of each solution step and...
...puzzle consists of three horizontal and three vertical equations in which the numbers are replaced by symbols....Each term in the equation consists of a three-digit number. Your task is...solution grid helps you in the process of solving the puzzle. You can use bookmarks to save...
...value (1 x and 1y value and the equation to solve), choose formula (you figure out the...figure formula and calculate (you figure out the equation and solve for the missing z value).
If...with the practice game enables students to practice solving the problems in the area they are having...
...advanced features including unit conversion, complex number math, equation solving, and even support for both algebraic and...support for interactive unit conversion, a constants library, equation solver (for both linear and polynomial equations), and... |
How To Solve It: A New Aspect of Mathematical Method
Book Description: "Solving problems", wrote Polya, "is a practical art, like swimming, or skiing, or playing the piano: You can learn it only by imitation and practice. This book cannot offer you a magic key that opens all the doors and solves all the problems, but it offers you good examples for imitation and many opportunities for practice: If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems |
MathOdes is a math study aid designed to help students remember math concepts and formulas in the form of poetry and illustrations. Each "ode" details a particular math concept such as polynomials, matrices, and conics. A portion of the proceeds will go to the MathOdes Scholarship fund to assist qualified students in their educational pursuits |
Beginner's Guide to Discrete Mathematics
9780817642693
ISBN:
0817642692
Publisher: Springer Verlag
Summary: This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. Lists are presented as an example of data structures. A...n introduction to counting includes the Binomial Theorem and mathematical induction, which serves as a starting point for a brief study of recursion. The basics of probability theory are then covered.Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, e.g., Euclidean algorithm, Fermat's Little Theorem.Good examples occur throughout. At the end of every section there are two problem sets of equal difficulty. However, solutions are only given to the first set. References and index conclude the work.A math course at the college level is required to handle this text. College algebra would be the most helpful.
Wallis, W. D. is the author of Beginner's Guide to Discrete Mathematics, published under ISBN 9780817642693 and 0817642692. Two hundred forty two Beginner's Guide to Discrete Mathematics textbooks are available for sale on ValoreBooks.com, thirty one used from the cheapest price of $12.63, or buy new starting at $63 |
Linear Algebra: A Modern Introduction
(Paperback)
David Poole's innovative book emphasizes vectors and geometric intuition from the start and better prepares students to make the transition from the computational aspects of the course to the theoretical. Poole covers vectors and vector geometry first to enable students to visualize the mathematics while they are doing matrix operations. With a concrete understanding of vector geometry, students are able to visualize and understand the meaning of the calculations that they will encounter. By seeing the mathematics and understanding the underlying geometry, students develop mathematical maturity and can think abstractly when they reach vector spaces. Throughout the text, Poole's direct conversational writing style connects with students, and an abundant selection of applications from a broad range of disciplines clearly demonstrates the relevance of linear algebra |
22-page book is a first of its kind, providing a very active introduction to Calculus with discovery-style instruction and nine student centered decoder-style worksheets. Students are motivated... More > both by the instantaneous feedback and their inevitable success! Teachers love the improvement in comprehension as well as the ease of grading self-checking materials! Students investigate slope and average velocity to form a concept of instantaneous velocity expressed first as limits as x approaches a and then as h approaches 0. Next they derive the power rule, including using expressions with irrational constants, negative powers, roots, etc. Then they build to using the power rule when the base is a linear expression. They informally experience the chain rule and then move to more formal representations. Finally, they are introduced to the product rule, which serves as template for learning additional rules more formally.< |
The unique feature of this compact students introduction is that it presents concepts in an order that closely follows a standard mathematics curriculum, rather than structure the book along features of the software. As a result, the book provides a brief introduction to those aspects of the Mathematica software program most useful to students. The second edition of this well loved book is
completely rewritten for Mathematica 6 including coverage of the new
dynamic interface elements, several hundred exercises and a new chapter
on programming. This book can be used in a variety of courses, from precalculus to linear algebra. Used as a supplementary text it will aid in bridging the gap between the mathematics
in the course and Mathematica. In addition to its course use, this book
will serve as an excellent tutorial for those wishing to learn
Mathematica and brush up on their mathematics at the same time. Download linksA Handbook for Precalculus, Calculus, and Linear Algebra (2nd edition)
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Ramblings of a Christian Mathematician and Bioinformaticist
Calculus IV: Functions of Several Variables
Having just finished a very short chapter on vector functions, we began the chapter that will cover Partial Derivatives. Before we started that lecture, I took a little class time to answer a homework question. It was one of my favorites. Having covered the concept of curvature, the students were asked to find a polynomial, such that the function
is continuous, smooth and has continuous curvature. Not hard but still fun to do. Feel free to try it yourself and post the answer in the comments.
We, then, began functions of several variables talking about four ways to describe a function of two variables and then looking at examples of each. (Verbally, Numerically, Graphically, Algebraically) We plotted a few interesting surfaces in Maple 10 and then began discussing level curves (contour maps). Using examples such as weather maps (temperature, pressure, etc.) and topographical maps helped the students get a good feel for how we can look at a 3 dimensional graph in a two dimensional plane (without necessarily resorting to perspective drawings). We'll start looking at level surfaces, or iso-surfaces, to generalize to functions of three variables. For example, how might you visualize a 4D hypersphere by using iso-surfaces?
For future versions of this lecture, I could definitely improve the lecture by bringing resources to class like video clips of a weather forecast or actual topographical maps of this area. Also, if I have time I'd like to have a demo of the software Viz5d so that I can visualize some data sets with animated iso-surfaces. I used to run a demo of a weather simulation when I worked for the High Performance Computer Center of Texas Tech University. I animated iso-surfaces of water vapor levels in the atmosphere. The result was a three-dimensional model resembling cloud movement. |
Synopses & Reviews
Publisher Comments:
Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and answer such questions as: How much? How many? How long? Difference equations are a necessary part of the mathematical repertoire of all modern scientists and engineers. In Paul Cull is a professor of Computer Science at Oregon State University. Mary Flahive is a professor of Mathematics at Oregon State University. Robby Robson is president of Eduworks, an e-learning consulting firm. None has a rabbit.
Synopsis:
"Synopsis"
by Springer, |
Keyword: Bounded Domains (1)
Partial differential equations (PDEs) describe the relationships among the derivatives of an ...
(more)
Partial differential equations (PDEs) describe the relationships among the derivatives of an unknown function with respect to different independent variables, such as time and position. Experiment and observation provide information about the connections between rates of change of an important quantity, such as heat, with respect to different variables. Upon successful completion of this course, the student will be able to: State the heat, wave, Laplace, and Poisson equations and explain their physical origins; Define harmonic functions; State and justify the maximum principle for harmonic functions; State the mean value property for harmonic functions; Define linear operators and identify linear operations; Identify and classify linear PDEs; Identify homogeneous PDEs and evolution equations; Relate solving homogeneous linear PDEs to finding kernels of linear operators; Define boundary value problem and identify boundary conditions as periodic, Dirichlet, Neumann, or Robin (mixed); Explain physical significance of boundary conditions; Show uniqueness of solutions to the heat, wave, Laplace and Poisson equations with various boundary conditions; Define well-posedness; Define, characterize, and use inner products; Define the space of L2 functions, state its key properties, and identify L2 functions; Define orthogonality and orthonormal basis and show the orthogonality of certain trigonometric functions; Distinguish between pointwise, uniform, and L2 convergence and show convergence of Fourier series; Define Fourier series on [0,pi] and [0,L] and identify sufficient conditions for their convergence and uniqueness; Compute Fourier coefficients and construct Fourier series; Use the method of characteristics to solve linear and nonlinear first-order wave equations; Solve the one-dimensional wave equation using d'Alembert's formula; Use similarity methods to solve PDEs; Solve the heat, wave, Laplace, and Poisson equations using separation of variables and apply boundary conditions; Define the delta function and apply ideas from calculus and Fourier series to generalized functions; Derive Green's representation formula; Use Green's functions to solve the Poisson equation on the unit disk; Define the Fourier transform; Derive basic properties of the Fourier transform of a function, such as its relationship to the Fourier transform of the derivative; Show that the inverse Fourier transform of a product is a convolution; Compute Fourier transforms of functions; Use the Fourier transform to solve the heat and wave equations on unbounded domains. (Mathematics 222)
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Calculus Early Transcendentals Single Variable - 9th edition
Summary: The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engine...show moreers become engaged in the material because of the easy-to-read style and real-world examples. ...show less
Chapter 5 Integration 5.1 An Overview of the Area Problem 5.2 The Indefinite Integral 5.3 Integration by Substitution 5.4 The Definition of Area as a Limit; Sigma Notation 5.5 The Definite Integral 5.6 The Fundamental Theorem of Calculus 5.7 Rectilinear Motion Revisited Using Integration 5.8 Average Value of a Function and its Applications 5.9 Evaluating Definite Integrals by Substitution 5.10 Logarithmic and Other Functions Defined by Integrals
Chapter 6 Applications of the Definite Integral in Geometry, Science, and Engineering 6.1 Area Between Two Curves 6.2 Volumes by Slicing; Disks and Washers 6.3 Volumes by Cylindrical Shells 6.4 Length of a Plane Curve 6.5 Area of a Surface of Revolution 6.6 Work 6.7 Moments, Centers of Gravity, and Centroids 6.8 Fluid Pressure and Force 6.9 Hyperbolic Functions and Hanging Cables |
Personal tools
Matlab Tutorial
Document Actions
Introduction
This document provides an introduction and some exercises to
familiarize you with
Matlab
.
Matlab
is widely available and priced so
as to be accessible to students.
Matlab
provides excellent numeric
capabilities and has recently incorporated access to symbolic
capabilities as well. It is also a full-blown computer language
which, while it is somewhat slow because it is interpreted, provides
substantial capabilities and has become a standard tool for algorithm
development in signal processing, controls, and many other areas of
engineering.
You are encouraged to peruse the book
The Student Edition of
Matlab
, which comes with the student edition of
Matlab
. It is also
available at the Bookstore. A single copy of it is also on reserve at
the library.
The most important thing is to
play around
with the tool to
learn how it works. Ask questions of the computer and your fellow
students. While directions have been given on some of this, is is
impossible to give you all the information you need. You will benefit
from learning how to use this -- take some time to become familiar
with it. (And, by the way, exercise some independence on this -- the
author will not babysit you through your learning curve.) |
Comprehensive content and varied real-life applications give students a strong mathematical foundation. Geometry introduces students to theory and application of formal and informal reasoning, as well as to synthetic, coordinate, and transformational approaches.
Applied technology
Real-world applications and suggestions for appropriate use of technology are integrated throughout the series |
Essentials of Scientific Computing: Numerical Methods for Science and Engineering
Written for students in the fields of engineering and science, this book provides comprehensive coverage of classical numerical methods. Different numerical techniques and the interrelation between them are covered, including iterative process, extrapolation, and matrix factorization. Topics covered include solving systems of linear equations, computational eigenvalue problems, and numerical integration.
An introduction to MATLAB is included in Chapter 9 and an appendix contains a brief review of functions used in numerical analysis.
Free Mathematical Modeling Technical Kit
Learn how you can quickly build accurate mathematical models based on data or scientific principles. |
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