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3DMath Explorer Desciption:
3DMath Explorer is a computer program that pilots 2D and 3D graphs of mathematical functions and curves in unlimited graphing space. It has many useful feature such as 3D curve ploting in real time, perspective drawing, graph scaling (zooming), active graph rotation, fogging effect, cubic draw, unlimited space ploting, four view plot screen, auto rotate animation, drawing many curves in the same screen,working with many graph screen est.
Review 3DMath Explorer
Math Mechanixs is an easy to use scientific and engineering FREE math software program. (FREE registration is required after 60 days). The typical tool for solving mathematical problem has been the calculator. Unfortunately, a calculator can be very...
Mark Jacobs Graph Plotter is an application that allows you to easily build a graph of multiple mathematical functions.You can insert up to 10 functions and the program automatically plots the resulting chart, which you can save in a separate file.
Graph polynomials and view prime numbers on a ulam spiral graphing plot. Only integer numbers. Based on an old GPL version of the JEP equation parser. See website for additional examples/live applets Seems to be closely related to Cellular automaton.Math 3rd Grade Place Values was created as an accessible and easy-to-use software utility that allows kids to test their math knowledge.Math 3rd Grade Place Values is very useful if you want to test and improve the mathematics knowledge of your...
Star Graphs is a simple and small piece of software that allows its users to learn more about graphs.Star Graphs allows you to click on the "+" button to increase the number of vertices. The "-" button can be used to decreases the number of vertices....
Degree Sequences of Graphs was designed as a simple software that allows the users to draw a graph and view the degree sequence. The corresponding degree graph will be shown in the text field available below the graph.Degree Sequences of Graphs is a...
Connected Components of a Graph was specially developed as an accessible and handy software that lets you learn more about graphs.Connected Components of a Graph is a software that lets you draw a graph in the left pane and view the connected | 677.169 | 1 |
Description
Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solved with a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tackle these problems, with clear examples from recent contests. It also includes a.
Review quote
From the reviews: "Soberon (Univ. College London, UK) presents tools, techniques, and some tricks to tackle problems of varying difficulty in combinatorial mathematics in this well-written book. ... Salient features include the wealth of examples, exercises, and problems and two additional chapters with hints and solutions to the problems. Valuable for all readers interested in combinatorics and useful as a course resource on the subject. Summing Up: Highly recommended. Upper-division undergraduate through professional mathematics collections." (D. V. Chopra, Choice, Vol. 51 (4), December, 2013)
Back cover copy
Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solvedwith a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tacklethese problems, with clear examples from recent contests.It also includesa."
About Pablo Soberón
Pablo Soberon (born 1988) is the first Mexican to obtain a gold medal in the International Mathematical Olympiad. After participating in mathematical olympiads, he has also trained Mexican teams for various international mathematical contests. He currently does research in discrete geometry at University College London and enjoys olympiad problem-solving in his free time. | 677.169 | 1 |
This book illustrates different ways to apply symbolic computation, programming, algorithm design, data mining, numerical computation, graphics, and image processing to Mathematica Demonstrations using the latest features in Mathematica 6 and 7, such as dynamic interactivity, real-time 3D graphics, numerical modeling and simulation, highly efficient real-time computation, integrated language systems, multicore parallel computing and digital image processing, and so on. A wide collection of problems across different disciplines are presented, analyzed, and solved step by step. This book can be used as a beginnerís book to learn Mathematica at higher-education institutions. It can also serve as a reference book for intermediate and advanced users, researchers, and engineers to gain an in-depth understanding of scientific computing and programming with Mathematica. The accompanying DVD contains Mathematica 7 Simplified Chinese Edition and learning resources, both of which are published by Tshinghua University Press and authorized by Wolfram Research, Inc. | 677.169 | 1 |
As discrete models and computing have become more common, there is a need to study matrix computation and numerical linear algebra. Encompassing a diverse mathematical core, Elements of Matrix Modeling and Computing with MATLAB examines a variety of applications and their modeling processes, showing you how to develop matrix models and solve algebraic... more...
Exploring Linear Algebra: Labs and Projects with Mathematica ® is a hands-on lab manual for daily use in the classroom. Each lab includes exercises, theorems, and problems that guide your students on an exploration of linear algebra. The exercises section integrates problems, technology, Mathematica ® visualization, and Mathematica CDFs,... more...
This volume features seventeen extended conference abstracts corresponding to selected talks given by participants at the CRM research program ?Automorphisms of Free Groups: Algorithms, Geometry and Dynamics?, which took place at the Centre de Recerca Matemàtica in Barcelona in fall 2012. Most of them are short articles giving preliminary presentations... more...
Thepresentbookdealswithvarioustypesoffactorizationproblemsformatrixand operator functions. The problems appear in di?erent areasof mathematics and its applications. A uni?ed approach to treat them is developed. The main theorems yield explicit necessaryand su?cient conditions for the factorizations to exist and explicit formulas for the corresponding... more...
Linear algebra forms the basis for much of modern mathematics?theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation. ... more...
Thanks to the advent of inexpensive computing, it is possible to analyze, compute, and develop results that were unthinkable in the '60s. Control systems, telecommunications, robotics, speech, vision, and digital signal processing are but a few examples of computing applications. While there are many excellent resources available that focus on one... more...
An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical... more...
The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are studied in detail. The author's recent results on geometry of symmetric... more...
This practical and easy-to-understand learning tutorial is one big exciting exercise for students and engineers that are always short on their schedules and want to regain some lost time with the help of Simulink.This book is aimed at students and engineers who need a quick start with Simulink. Though it's not required in order to understand how Simulink... more... | 677.169 | 1 |
Schaum's Outline of Theory and Problems of Matrix Operations
Master matrix operations with Schaum'sthe! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Study quickly and more effectively Get the big picture without spending hours pouring over lengthy textbooks Schaum's Outlines give you the information teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to rememberfast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside, you will find: 363 detailed problems with step-by-step solutions Clear, concise explanations of matrix operations Help with Eigenvalues and the QR Algorithm A solved-problem approach that teaches you with hands-on help Exercises for improving your problem-solving skills If you want top grades and a thorough understanding of matrix operations, this powerful study tool is the best tutor you can have! Chapters include: Basic Operations Simultaneous Linear Equations Square Matrices Matrix Inversion Determinants Vectors Eigenvalues and Eigenvectors Functions of Matrices Canonical Bases Similarity Inner Products Norms Hermitian Matrices Positive Definite Matrices Unitary Transformations Quadratic Forms and Congruence Nonnegative Matrices Patterned Matrices Power Methods for Locating Real Eigenvalues The QR Algorithm Generalized Inverses Answers to Supplementary Problems | 677.169 | 1 |
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Slide Rules
Index by Purpose
While many slide rules were made as general calculating instruments, for multiplying numbers and solving equations with squares, cubes, trigonometric functions, and logarithms, many others were made to ease the calculations associated with a specific task. Click on items in the list below to see rules in the collection with an identifiable specialized purpose. For comparison, a few illustrative examples of all-purpose slide rules are shown under the link to General Calculation.
In 1950 and 1951, three Illinois Institute of Technology engineering professors participated in the development of the Versalog slide rule, manufactured by Hemmi of Tokyo, Japan, for the Frederick Post Company of Chicago. E. I. Fiesenheiser, R. A. Budenholzer, and B. A. Fischer subsequently prepared this 115-page hardcover volume explaining the slide rule's capabilities. They covered the care of the instrument, its twenty-three scales, multiplication and division, squares and cubes, exponentials and logarithms, and trigonometric operations. Each professor also contributed a chapter on applications in his specialty: civil, mechanical, or electrical engineering.
This copy is stamped inside the front cover and on the edges: WILLIAM KRUTZ ESQ. See 1978.0800.01.
The citation information for this small 32-page booklet is: Maurice L. Hartung, How to Use the 300 Log Log Trig Pocket Slide Rule (Chicago: Pickett & Eckel, Inc., 1949). It provides general information on how to use slide rules, including the arithmetical operations, locating the decimal point, combining multiplication and division, using the folded scales, calculating roots, trigonometry, and vectors.
Model 300 was a six-inch, pocket-sized duplex slide rule and is not presently represented in the Smithsonian collections, although 1999.0096.01 is a ten-inch log log trig rule. Hartung was a University of Chicago professor who helped Pickett & Eckel market their products to schools and who wrote several instruction manuals for the company's slide rules. See 1979.0601.02.
This 32-page booklet was received with 1979.0601.02. Its citation information is: Maurice L. Hartung, How to Use the Deci Log Log Slide Rule (Chicago: Pickett & Eckel, Inc., 1947). Hartung, a University of Chicago professor and consultant to Pickett & Eckel, provided a basic overview of mathematical operations on the slide rule. He then explained placing the decimal point; the inverted scales; scales for squares and cubes, logarithms, and trigonometry; and solving problems using multiple scales. He next described the log log scales in a section that has several diagrams of slide rules.
A pink paper sheet on caring for the slide rule is inside the booklet. A previous owner has written in a few corrections, including an updated population of the United States of 175 million in 1957.
This 24-page booklet was received with 1981.0922.12. Its citation information is: Maurice L. Hartung, Dial Rule Circular Slide Rule: Your Model No. 101-C Instruction Manual (Chicago & Alhambra, Calif.: Pickett & Eckel, Inc., 1957). The back is marked: PRINTED IN U.S.A.; FORM M-18. The Pickett logo on the front cover was used between 1958 and 1962.
The manual provides instructions and processes for the C and CI scales, multiplication, division, combined operations, the A and Af scales (for square roots), logarithms and adding fractions, the LL scale, the DS and DT scales (for drill sizes and double depth of threads), the M scale (for metric conversions), and the S, ST, and T scales (for trigonometry). There are 24 problems and answers on the back page.
This 92-page salmon-colored paperback book was received with 1981.0933.03. Its citation information is: William E. Breckenridge, The Polyphase Duplex Slide Rule: A Self Teaching Manual (New York: Keuffel & Esser Co., 1924). Breckenridge earned an A.M. in mathematics from Columbia University in New York City, was chair of the mathematics department at Stuyvesant High School around 1909–1910, served as an associate editor of The Mathematics Teacher from 1913 to 1928, and apparently also taught at Columbia.
Breckenridge explains the basic features and operations of the slide rule, discusses the history and theory of slide rules, provides methods for solving "advanced problems," treats plane trigonometry, solves triangle problems, and provides "typical examples relating to various occupations," such as secretarial work, excavation, and retail. Finally, he shows how to set the slide rule to solve various mechanical formulas and lists tables of equivalents for the basic C and D scales. In chapter one, a previous reader, presumably the donor, William J. Ellenberger, has checked off the examples and filled in the answers to the problems. An advertisement for K&E's other specialty and general slide rules appears at the back of the book. This manual sold for 50 cents.
A digitized copy of The Polyphase Duplex Slide Rule is available at
This 72-page salmon-colored paperback book was received with 1981.0933.03 and 1981.0933.05. Its citation information is: William Cox, The Mannheim (Polyphase) and the Duplex (Polyphase-Duplex) Slide Rules Complete Manual (New York: Keuffel & Esser Co., 1920). It sold for 50 cents. William Cox helped introduce the Mannheim slide rule to the United States, invented the duplex slide rule, and served as a mathematical consultant to Keuffel & Esser Company of New York, thus launching that firm into pioneering the American manufacture of slide rules. He first wrote this manual in 1891 and revised it in 1917, adding instructions for K&E's Polyphase Duplex slide rule (model 4088-3).
A notice inside the front cover explained how K&E had updated the Mannheim line (models 4031–4056) since Cox first wrote the manual. Cox thoroughly described the characteristics, operations, and scales of Mannheim and Polyphase (which was especially useful for problems involving powers or roots) slide rules. He provided a lengthy table of equivalents for the base scales, C and D, as well as methods for working out mechanical and other formulas. He then went through a similar discussion for the eight-inch Duplex rule (model 4065) and for the ten-inch Polyphase-Duplex rule (model 4088). A supplement by J. M. Willard of the State College of Pennsylvania addressed the solution of problems in plane trigonometry. Finally, there are advertisements for K&E's general and specialty slide rules, the frameless indicator patented in 1915, a magnifier, and surveying equipment.
Hemmi, a Japanese slide rule firm established in 1895, became notable after it began in 1912 to apply celluloid to bamboo, resulting in rules that did not shrink or expand like wooden rules. Hemmi also made rules for export, and it became the sole supplier of linear slide rules to the Frederick W. Post Company of Chicago by 1932. Post sold model 1446 between 1931 and 1949 for $1.50. The donor reported that he purchased this example in 1936 while studying at Colgate University. This date is consistent with the company logo on the case, which was in use in the 1930s, and with the lack of reference on the instrument to "Occupied Japan," as Hemmi rules were marked from 1946 to 1950. Hemmi products were not available in the United States during World War II.
This one-sided bamboo rule is coated with white celluloid only on the front. There are A and D scales on the base. The D scale is marked at each end: Quot (/) +1; Prod (/) -1. The slide has B and C scales on one side and S, L, and T scales on the other side. The indicator is glass in a metal frame. The rule's backing is clear and silver celluloid. It contains a chart with fractions converted to decimal numbers, powers of П, relationships between scales C and D, and weights of metals.
The center top of the base is marked in red: THE FREDERICK POST CO. NO. 1446. The center bottom of the base is marked in black: "SUN" (between two drawings of the sun); HEMMI; MADE IN JAPAN. The edge of the indicator is also engraved: SUN (between two drawings of the sun) HEMMI.
The rule is stored in a rectangular black Fabrikoid case which is opened by removing the right end. This end is marked in white: POSTS (/) 1446. The back of the case is marked: MADE IN JAPAN. The rule came with a stapled leaflet of instructions, 1982.0386.03.
This stapled ten-page leaflet arrived with 1982.0386.02. It is marked "Printed in Japan" and probably dates to the mid-1930s. It is titled, Short Directions for the Use of the "Hemmi's" Bamboo Slide Rules, and there are indications throughout the text that its author was not a native speaker of English.
The leaflet explains what a slide rule is. There are sections for Hemmi Normal Slide Rules, the Electro Slide Rule with Log Log Scale, and the Improved Slide Rule. The leaflet also contains an illustration of reading graduations on the scales, an explanation of Hemmi's construction techniques, and various technical problems that could be solved with slide rules. ID number 1982.0386.02 resembles the slide rule illustrated on p. 1, although the drawing shows a ruler in inches on the top edge and depicts PATENT No 58115 as written on the indicator. The example in the collections lacks the ruler and the reference to what is presumably a Japanese patent.
This instrument consists of a wooden cylinder covered with paper scales, wooden handles at the ends of the cylinder, and a metal sleeve lined with felt. The sleeve, which is painted maroon, holds the cylinder. A slot 1.5cm wide and a paper scale run the length of the sleeve. For detailed information, see MA*333636. The only difference between the instruments is that the sleeve on this example has been decoratively painted in gold. Keuffel & Esser of New York sold this model for $5.00 from 1903 to 1923.
The School of Forestry of the University of Montana in Missoula donated this example to the Smithsonian in 1983. The School of Forestry was established at the State University of Montana (later Montana State University, now the University of Montana) in 1913. By 1921, courses taught in the school of forestry included—subject to student demand—a course on the slide rule. The course covered the theory and use of the Mannheim, Stadia, Polyphase, and Log rules.
This ten-inch white plastic one-sided linear slide rule has a clear plastic indicator that goes all the way around the instrument. The posts holding the rule together are also white. The base has K, A, D, and L scales, with B, T, S, CI, and C scales on the slide. The left end of the slide is marked: PICKETT (/) NO. 120. The right end of the slide is engraved with the Pickett triangular logo used between 1958 and 1962. The bottom right corner of the base is marked: MADE IN U.S.A.
The rule fits in a black imitation leather stitched sheath. Pickett advertised this "trig trainer" slide rule in the September 17, 1961, issue of the Chicago Daily Tribune. In later years, Pickett added the model name "Microline" to the model number. The company intended that students would learn fundamental operations with these rules and then graduate to its more complex aluminum rules. Compare the five-inch student rule, 1991.0445.02, and the ten-inch Microline duplex rule, 1989.0325.07.
Mechanical engineer Edward L. Heller (1912–2007) donated this example to the Smithsonian. From 1956 to 1959, he worked as a nuclear project engineer for H. K. Ferguson Co. He was a technical manager for General Dynamics Corporation from 1959 to 1967. He married in 1946 and raised two children. Since the slide rule was probably purchased about 1960, Heller may have expected that his children would use it. | 677.169 | 1 |
Core-Plus Mathematics
A Balanced and Unified Curriculum
The first three courses in the Core-Plus Mathematics series provide
a significant core of broadly useful mathematics for all students. They
were developed to prepare students for success in college, in careers,
and in daily life in contemporary society. Course 4 formalizes and
extends the core program, with a focus on the mathematics needed to be
successful in college mathematics and statistics courses.
Algebra
and Functions
The Algebra and Functions strand develops student
ability to recognize, represent, and solve problems
involving relations among quantitative variables.
Central to the development is the use of functions as
mathematical models. The key algebraic models in the
curriculum are linear, exponential, power, polynomial,
logarithmic, rational, and trigonometric functions.
Modeling with systems of equations, both linear and
nonlinear, is developed. Attention is also given to
symbolic reasoning and manipulation.
Geometry
and Trigonometry
The primary goal of the Geometry and Trigonometry strand is to
develop visual thinking and ability
to construct, reason with, interpret, and apply
mathematical models of patterns in visual and physical
contexts. The focus is on describing patterns in
shape, size, and location; representing patterns with
drawings, coordinates, or vectors; predicting changes
and invariants in shapes under transformations; and
organizing geometric facts and relationships through
deductive reasoning.
Statistics
and Probability
The primary role of the Statistics and Probability strand is to
develop student ability to analyze data
intelligently, to recognize and measure variation, and
to understand the patterns that underlie probabilistic
situations. The ultimate goal is for students to
understand how inferences can be made about a
population by looking at a sample from that population.
Graphical methods of data analysis, simulations,
sampling, and experience with the collection and
interpretation of real data are featured.
Course 4 continues the preparation of students for college mathematics.
In Course 4, formal and symbolic reasoning strategies, the hallmarks
of advanced mathematics, are developed as complements to more intuitive
arguments and numerical and graphical approaches to problems developed
in Courses 1-3. The mathematical content and 11 units in Course 4
allows considerable flexibility in tailoring a course to best prepare
students for undergraduate programs. A sequence of units in Course 4
is recommended for students intending to pursue programs in the mathematical,
physical, and biological sciences, or engineering and a somewhat different
sequence of units is recommended for students intending to pursue programs
in the social, management, humanities, or some of the health sciences.
For students wishing to complete advanced placement courses such as
AP Calculus and AP Statistics or complete International Baccalaureate
Programs, it is recommended that they begin Course 1 as 8th graders.
By beginning Course 1 in 8th grade, students can elect to enroll
in AP Statistics as juniors and AP Calculus as seniors. Other options
for acceleration are outlined in Preparing
for College. | 677.169 | 1 |
Learn
Master
Course Description
Computer fonts, Angry Birds, March Madness, and Google — sound like fun? Indeed, finite math is engaging and influences the world around us.
Equations of lines can allow computers to create fonts, store them quite compactly, and render them at essentially any desired resolution. Plotting the graph of a polynomial can affect how you play Angry Birds as you strive to dislodge the pesky pigs. Linear systems model the performance of sports teams and influence which college football teams play in the new year bowl games. You can create your own linear equations to help you create a bracket for March Madness. Finally, probability and simulation lies at the core of the mathematical algorithm that catapulted Google as a leader in search engines.
You benefit from applications of finite math every day. Through this course, you can better understand how you benefit from applications of finite math in your every day life. Along the way, you will likely learn new mathematical ideas, too.
What am I going to get from this course?
Over 20 lectures and 5.5 hours of content!
Understand how you can benefit from applications of math in your every day life.Welcome! This video gives you a quick overview of what we will cover in the course. I look forward to working with all of you and hearing your comments along the way as we explore applications of finite mathematics.
Through this series of lectures, we have seen that math is, indeed, everywhere. From computer fonts to the graphics that fill the movie screen, math affects our daily life. Millions of dollars can ride on mathematical results like which business web pages appear at the top of Google's search resul…
Instructor Biography
Tim Chartier is an Associate Professor of Mathematics at Davidson College. He is a recipient of a national teaching award from the Mathematical Association of America. Published by Princeton University Press, Tim beyond the labs was recognized with an Alfred P. Sloan Research Fellowship.
Tim serves on the Editorial Board for Math Horizons, a mathematics magazine of the Mathematical Association of America. He also on the Advisory Board of YourMusicOn (YMO), a mobile music startup company and the Advisory Council for the Museum of Mathematics, which will be the first museum of mathematics in the United States and opens in December 2012. Tim has been a resource for a variety of media inquiries which includes fielding mathematical questions for the Sports Science program on ESPN. He also writes for the Science blog of the Huffington Post.
As an artist, Tim has trained at Le Centre du Silence mime school and Dell'Arte School of International Physical Theater. He also studied in master classes with Marcel Marceau. Tim has taught and performed mime throughout the United States and in national and international settings.
In his time apart from academia, Tim enjoys the performing arts, mountain biking, nature walks and hikes, and spending time with his family.
Learn more about Prof. Chartier's teaching, research and presentations with mime and math on his blog.
Great introduction to math in the world
It's a great introduction, and very interesting set of lessons. I wish there was more quizzing to make me practice what I learned. Otherwise, I'll probably forget it. Everything else about the lesson was good.
Nice course.
The lecturer is very good. He's clear and has a great style. Production is good, the video is of good quality. Mixing slides with video is very nice because that connects you with the teacher while following the content itself. My only point is the actual audience for this course. This course could be meant for early high/secondary school young students to ignite their interest in math. The content is completely trivial for engineers, physicists and math students since those are already enrolled in their math courses and are already taking far more advanced material than the one offered by this course. Adult people who are enrolled with some non technical programs will not in the end leave everything and go study math. It's a good quick course though, so I'm not going to take out any points. It's not for people who are already doing (or finished) a technical university program. | 677.169 | 1 |
Find an East Providence Algebra Tutor...Let's get together and get ready for the GMAT! Discrete math means lots of things to lots of different people, but to me it means the study of properties of countable objects. One of the most interesting and practical applications of discrete mathematics is the study of gambling - keno, cards, and dice are just a few of the games subject to the analysis of discrete mathematics. | 677.169 | 1 |
Find a Davie...Prealgebra concerns include the quick and accurate application of arithmetic to real numbers. Topics for Prealgebra include Solving 1 and 2 Step Linear equations; adding, subtracting, multiplying, and dividing integers; combining like terms; The Order of Operations. The most difficult area for... | 677.169 | 1 |
Elements of Algebra
Elements of Algebra is an elementary mathematics textbook written by mathematician Leonhard Euler and originally published in 1765 in German. Elements of Algebra is one of the earliest books to set out algebra in the modern form we would recognize today (another early book being Elements of Algebra by Nicholas Saunderson, published in 1740), and is one of Euler's few writings, along with Letters to a German Princess, that are accessible to the general public. Written in numbered paragraphs as was common practice till the 19th century, Elements begins with the definition of mathematics and builds on the fundamental operations of arithmetic and number systems, and gradually moves towards more abstract topics.
In 1771, Joseph-Louis Lagrange published an addendum titled Additions to Euler's Elements of Algebra, which featured a number of important mathematical results.
The original German title of the book was Vollständige Anleitung zur Algebra, which literally translates to Complete Instruction to Algebra. Two English translations are now extant, one by John Hewlett (1822), and the other, which is translated to English from a French translation of the book, by Charles Tayler (1824). On the 300th birth anniversary of Euler in 2007, mathematician Christopher Sangwin working with Tarquin Publications published a digitized copy based on Hewlett's translation of the first four sections (or Part I) of the book.[1]
In 2015, Scott Hecht published both print and Kindle versions of Elements of Algebra (ISBN 978-1508901181) with Euler's Part I (Containing the Analysis of Determinate Quantities), Part II (Containing the Analysis of Indeterminate Quantities), Lagrange's Additions, and footnotes by Johann Bernoulli and others. | 677.169 | 1 |
Algebra is a branch of mathematics sibling to geometry, analysis
(calculus), number theory, combinatorics, etc. Although algebra has
its roots in numerical domains such as the reals and the complex
numbers, in its full generality it differs from its... | 677.169 | 1 |
Journal description
Mathematical education is a key criterion for successful economic development and currently forms the basis of several government initiatives throughout the world. The International Journal of Mathematical Education in Science and Technology provides a medium by which a wide range of experience in mathematical education can be presented, assimilated and eventually adapted to everyday needs in schools, colleges, universities, industry and commerce. Contributions are welcomed from teachers and users of mathematics at all levels on the contents of syllabuses and methods of presentation. Mathematical models arising from real situations, the use of computers, new teaching aids and techniques also form an important part of the journal.
Publications in this journal
[Show abstract][Hide abstract] ABSTRACT: The purpose of this study was to determine the relationship between the problems teachers preferred in mathematics lessons and student achievement in different types of problems. In accordance with this purpose, nine mathematics teachers were interviewed, and corresponding problems were prepared and administered to 225 eighth-grade students. The findings indicate that problem types are dependent on teacher preferences. It was found that curriculum-dependent and routine problems were dominant for teacher preferences. Students are more successful at with missing data, problems that are visual and do not require the use of different strategies. They have lower success at long problems, those that contain irrelevant data, problems that require the use of different strategies and difficult problem types. It was found that problem types at which students were successful and which teachers preferred were related. These results relay information about problems used in the learning environment and effect of problem-solving experiences on students' success.
[Show abstract][Hide abstract] ABSTRACT: Access to advanced study in mathematics, in general, and to calculus, in particular, depends in part on the conceptual architecture of these knowledge domains. In this paper, we outline an alternative conceptual architecture for elementary calculus. Our general strategy is to separate basic concepts from the particular advanced techniques used in their definition and exposition. We develop the beginning concepts of differential and integral calculus using only concepts and skills found in secondary algebra and geometry. It is our underlining objective to strengthen students' knowledge of these topics in an effort to prepare them for advanced mathematics study. The purpose of this reconstruction is not to alter the teaching of limit-based calculus but rather to affect students' learning and understanding of mathematics in general by introducing key concepts during secondary mathematics courses. This approach holds the promise of strengthening more students' understanding of limit-based calculus and enhancing their potential for success in post-secondary mathematics.
[Show abstract][Hide abstract] ABSTRACT: This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi puzzle. These concepts include, but are not limited to, conditionals, iteration, and recursion. Lessons, such as the one proposed in this article, are easily implementable in mathematics classrooms and extracurricular programmes as they are good candidates for 'drop in' lessons that do not need to fit into any particular place in the typical curriculum sequence. As an example for readers, the author describes how she used the puzzle in her own Number Sense and Logic course during the federally funded Upward Bound Math/Science summer programme for college-intending low-income high school students. The article explains each computer science term with real-life and mathematical examples, applies each term to the Tower of Hanoi puzzle solution, and describes how students connected the terms to their own solutions of the puzzle. It is timely and important to expose mathematics students to computer science concepts. Given the rate at which technology is currently advancing, and our increased dependence on technology in our daily lives, it has become more important than ever for children to be exposed to computer science. Yet, despite the importance of exposing today's children to computer science, many children are not given adequate opportunity to learn computer science in schools. In the United States, for example, most students finish high school without ever taking a computing course. Mathematics lessons, such as the one described in this article, can help to make computer science more accessible to students who may have otherwise had little opportunity to be introduced to these increasingly important concepts.
[Show abstract][Hide abstract] ABSTRACT: In this article, we give two examples of creating portable chalkboards using chalkboard paint for students to use during cooperative learning. This provides a creative method for professors to facilitate active learning in the undergraduate mathematics classroom.
[Show abstract][Hide abstract] ABSTRACT: The aim of this study was to investigate the appropriateness of high school students' definitions. The participants in this study were 269 high school students from a public school in Ordu city, which is on the Black Sea coast of Turkey. The participants were asked to write their definitions with no time constraints. In the analysis of the definitions, students' ability to distinguish necessary and sufficient conditions and their ability to use appropriate mathematical terminology were taken into account. The task used in this study enabled us to mirror students' difficulties and inadequacies about their definitions of a parallelogram. The findings indicated that most of the students defined parallelogram inappropriately because they had used incomplete or incorrect statements. On the other hand, for the appropriate definitions, it was found that the number of uneconomical definitions was almost the same as the number of economical ones. At the end of the study, it was suggested that defining activities should be integrated into curriculums explicitly and should be given importance in our mathematic lessons.
[Show abstract][Hide abstract] ABSTRACT: The fundamental ideas of Minkowski geometries are presented. Learning about Minkowski geometries can sharpen our students' understanding of concepts such as distance measurement. Many of its ideas are important and accessible to undergraduate students. Following a brief overview, distance and orthogonality in Minkowski geometries are thoroughly discussed and many illustrative examples and applications are supplied. Suggestions for further study of these geometries are given. Indeed, Minkowski geometries are an excellent source of topics for undergraduate research and independent study.
[Show abstract][Hide abstract] ABSTRACT: Flipped learning is gaining traction in K-12 for enhancing students' problem-solving skills at an early age; however, there is relatively little large-scale research showing its effectiveness in promoting better learning outcomes in higher education, especially in mathematics classes. In this study, we examined the data compiled from both quantitative and qualitative measures such as item scores on a common final and attitude survey results between a flipped and a traditional Introductory Linear Algebra class taught by two individual instructors at a state university in California in Fall 2013. Students in the flipped class were asked to watch short video lectures made by the instructor and complete a short online quiz prior to each class attendance. The class time was completely devoted to problem solving in group settings where students were prompted to communicate their reasoning with proper mathematical terms and structured sentences verbally and in writing. Examination of the quality and depth of student responses from the common final exam showed that students in the flipped class produced more comprehensive and well-explained responses to the questions that required reasoning, creating examples, and more complex use of mathematical objects. Furthermore, students in the flipped class performed superiorly in the overall comprehension of the content with a 21% increase in the median final exam score. Overall, students felt more confident about their ability to learn mathematics independently, showed better retention of materials over time, and enjoyed the flipped experience.
[Show abstract][Hide abstract] ABSTRACT: There is considerable variety in inquiry-oriented instruction, but what is common is that students assume roles in mathematical activity that in a traditional, lecture-based class are either assumed by the teacher (or text) or are not visible at all in traditional math classrooms. This paper is a case study of the teaching of an inquiry-based undergraduate abstract algebra course. In particular, gives a theoretical account of the defining and proving processes. The study examines the intellectual responsibility for the processes of defining and proving that the professor devolved to the students. While the professor wanted the students to engage in all aspects of defining and proving, he was only successful at devolving responsibility for certain aspects and much more successful at devolving responsibility for proving than conjecturing or defining. This study suggests that even a well-intentioned instructor may not be able to devolve responsibility to students for some aspects of mathematical practice without using a research-based curriculum or further professional development.
[Show abstract][Hide abstract] ABSTRACT: A new class of polynomials pn(x) known as β-reciprocal polynomials is defined. Given a parameter (Formula presented.) that is not a root of −1, we show that the only β-reciprocal polynomials are pn(x) ≡ xn. When β is a root of −1, other polynomials are possible. For example, the Hermite polynomials are i-reciprocal, (Formula presented.).
[Show abstract][Hide abstract] ABSTRACT: In this note, we study the Lucas p-numbers and introduce the Lucas p-triangle, which generalize the Lucas triangle is defined by Feinberg. We derive an expansion for the Lucas p-numbers by using some properties of our triangle.
[Show abstract][Hide abstract] ABSTRACT: In this paper, we present a linear algebra-based derivation of the analytic formula for the sum of the first nth terms of the arithmetico-geometric sequence. Furthermore, the advantage of the derivation is briefly | 677.169 | 1 |
Semesters
Pre Requisites
Pre Requisite Comment
Co Requisites
Co Requisite Comment
N/A
Aims
To lay the foundations for more advanced mathematical study. Students will be able to manipulate complex numbers and find roots, and use matrix methods to solve equations.
Module Summary
Virtually every branch of mathematics and statistics can be developed only from a firm foundation. A clear understanding and appreciation of many fundamental topics is required, primarily, those of algebra and calculus. Of course, understanding alone is not sufficient: considerable manipulative skill (covering all the topics above) is an essential ingredient if progress is to be made. These skills form the toolkit which is required for further study. This module provides the algebraic basis for all this, by building on the ideas explored in A-level (or equivalent) studies. Not only are the ideas rehearsed -often in a different, but more complete way – but work on more advanced topics in algebra, linear algebra and complex numbers is included.
Much of this material can be better understood via graphs, diagrams and sketches, or by reproducing routine (but tedious) algebra in an automatic fashion. To this end, the module illustrates some of the ideas using the computer algebra package Maple. A facility for Maple will be assumed in other modules and in later stages.
Learning Outcomes
Intended Knowledge Outcomes
Students will gain an understanding of complex numbers and of matrix methods.
Intended Skill Outcomes
Students will be able to manipulate complex numbers and find roots, and use matrix methods to solve equations.
Graduate Skills Framework
Graduate Skills Framework Applicable:
Yes
Cognitive/Intellectual Skills
Numeracy : Assessed
Information Literacy
Use Of Computer Applications : Present
Self Management
Personal Enterprise
Problem Solving : Assessed
Interaction
Communication
Written Other : Assessed
Teaching Methods
Teaching Activities
Category
Activity
Number
Length
Student Hours
Comment
Scheduled Learning And Teaching Activities
Lecture
2
1:00
2:00
Revision lectures
Scheduled Learning And Teaching Activities
Lecture
4
1:00
4:00
Problem classes
Guided Independent Study
Assessment preparation and completion
1
13:00
13:00
Revision for unseen Exam
Guided Independent Study
Assessment preparation and completion
1
1:30
1:30
Unseen exam
Scheduled Learning And Teaching Activities
Lecture
26
1:00
26:00
Formal lectures
Scheduled Learning And Teaching Activities
Drop-in/surgery
24
0:00
0:00
Office Hours in a staff office
Scheduled Learning And Teaching Activities
Drop-in/surgery
4
1:00
4:00
Tutorials in the lecture room
Guided Independent Study
Independent study
1
17:30
17:30
Studying, practising and gaining understanding of course material
Guided Independent Study
Independent study
4
2:00
8:00
CBAs
Guided Independent Study
Independent study
4
5:00
20:00
Written assignments
Guided Independent Study
Independent study
4
1:00
4:00
Assignment review
Total
100:00
Jointly Taught With
Code
Title
MAS2042
Mathematical Methods B
Teaching Rationale And Relationship
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students' abilities at applying the theory to solving problems. Tutorials are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. Office hours provide an opportunity for more direct contact between individual students and the lecturer.
Assessment Methods
Exams
Exam Pairings
Module Code
Module Title
Semester
Comment
1
N/A
Other Assessment
Description
Semester
When Set
Percentage
Comment
Prob solv exercises
1
M
10
N/A
Computer assessment
1
M
10
CBAs
Assessment Rationale And Relationship
A substantial formal unseen examination is appropriate for the assessment of the material in this module. Approximately four written assignments of approximately equal weight (worth approximately 10% in total) and approximately four computer based assessments of approximately equal weight (worth approximately 10% in total) allow the students to develop their problem solving techniques, to practise the methods learnt in the module and to receive feedback; this is thus formative as well as summative assessment.
Timetable
Past Exam Papers
General Notes
N/A | 677.169 | 1 |
Roebling PhysicsMath is part of my everyday language. As a professional physicist I use calculus almost daily. It's pretty much second-nature for me now | 677.169 | 1 |
This is a virtual edition of a developmental algebra textbook. It follows the Suffolk County Community College Mathematics...
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This is a virtual edition of a developmental algebra textbook. It follows the Suffolk County Community College Mathematics syllabus for our developmental algebra courses, with a few additions.This book has a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License and may be used and shared for any non-profit educational purpose is Vital to your Bookmark Collection or Course ePortfolio
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This applet is to simulate a popular Chinese card game "״24 Points״״. The players are given 4 playing cards. Their job is to...
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This applet is to simulate a popular Chinese card game "״24 Points״״. The players are given 4 playing cards. Their job is to use the number on each card once and only once, and to compute them until the result equals 24 . The winner is the one who comes up with the solution most quickly. This is a challenging and educational game. This applet features good drag and drop Arithmetic 24 game to your Bookmark Collection or Course ePortfolio
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Presents a calculator with only a few numbers and functions that work, and asks the user to generate the numbers 1-15 with...
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Presents a calculator with only a few numbers and functions that work, and asks the user to generate the numbers 1-15 with the limited functionality. On the same page is an article about the use of calculators when teaching math, and about innumberacy in general Broken Calculator to your Bookmark Collection or Course ePortfolio
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A gov't site that has an online graph creator (outputs as jpg or png files). Choose to make line, area, pie, or bar graphs...
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A gov't site that has an online graph creator (outputs as jpg or png files). Choose to make line, area, pie, or bar graphs and charts. Enter up to 15 data points, label both axes and provide a table. Nice alternative to spreadsheet programs.
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Learners follow step-by-step instructions for dividing algebraic fractions. They begin by reducing the fractions to their...
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Learners follow step-by-step instructions for dividing algebraic fractions. They begin by reducing the fractions to their simplest form. Immediate feedback is provided. This activity has audioividing and Simplifying Algebraic Fractions to your Bookmark Collection or Course ePortfolio
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more | 677.169 | 1 |
Details about Elementary Statistics:
Books a la Carte are unbound, three-hole-punch versions of the textbook. This lower cost option is easy to transport and comes with same access code or media that would be packaged with the bound book. Elementary Statistics: Picturing the World, Fifth Edition, offers our most accessible approach to statistics–with more than 750 graphical displays that illustrate data, students are able to visualize key statistical concepts immediately. Adhering to the philosophy that students learn best by doing, this book relies heavily on examples—25% of the examples and exercises are new for this edition. Larson and Farber continue to demonstrate that statistics is all around us and that it's easy to understand. This Package Contains: ELEMENTARY STATISTICS: PICTURING THE WORLD 5e, (a la Carte edition) with MyMathLab/MyStatLab Student Access Kit
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Rent Elementary Statistics 5th edition today, or search our site for other textbooks by Ron Larson. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Addison Wesley. | 677.169 | 1 |
solve quadratic
equations by factoring and using the quadratic formula.
Textbook &
Materials:
Beginning Algebra,
Seventh Edition ISBN 978-0-321-57375-9. You must buy a
book that is bundled with My Math Lab.Written
by Tobey-Slatter and Published by Prentice Hall.The Beginning Algebra text can be
purchased at the Folsom Lake College Bookstore.
Pre-Requisite:
Minimum grade of "C" in Math 30 or successful
completion of an assessment test with a recommendation of Math 100. Please note
that self-assessment at ARC is not accepted for placement at FLC.
We will check for your
proof of meeting the prerequisite during the orientation meeting. Failure to
show verification that you have met the prerequisite by the end of the first
week on instruction will result in your being dropped from the course.
Course Objectives:
·To introduce
students to the structure of the real number system and develop skills in
manipulating algebraic expressions.
·To help
students develop an understanding of the concepts of algebra and then gain
confidence in their ability to apply this understanding to real world problems.
·To help
students gain problem-solving skills and become independent learners who are
able to take responsibility for the learning process.
·To help
prepare students to successfully continue in the further study of math, science
or other courses that require algebra if they desire to continue in those
studies.
How the online class works:
The course is an online
course that uses both a book and an online software system (MyMathLab). You are
expected to read the book and complete all online assignments.It is also recommended to complete all of the
suggested book work.You should
familiarize yourself with the online support services and use them to aid in
the successful completion of the required course material.After you have completed required online
homework and quizzes, you should come in to FLC or the EDC to take the test
during one of the schedule lab hours.You must have Photo ID with you in order to take an exam.You need to take all tests on or before the
deadlines specified on the testing information page.It is your responsibility to know and meet these
deadlines.No extensions or incompletes
will be given. If you miss an exam and do not contact your
instructor within 3 days, you may be dropped from the course.
Getting Help:
Communication with the
instructor is available through e-mail or in person at the instructor support
hours or office hours. Students are encouraged to come in for help or
test preparation if they need that level of support. An instructor is available
for help in the Folsom Lake College Math Reading and WritingCenter (FL2-239) and the El DoradoCenterTutoringCenter
(C-204) during the regularly scheduled lab times.
You can get help from and/or take a test during any of these times. No
appointment is needed. For testing times and deadline dates please use the
link on the main course page in MyMathLab.
Homework:
Each unit has multiple
online homework assignments to help you prepare for the exam.Each assignment has a unique due date.Those due dates are listed on the website
page where you access the online homework.Online homework will be submitted directly to your instructor through
MyMathLab. For full credit on the online portion of your homework
you must complete all the required problems with at least 80% accuracy.This means you will receive a score of 0 on
an assignment if you complete it with less than 80% accuracy.To view and complete the online homework,
click on the online homework link in MyMathLab.
Suggested Book Work
(Not Required, but Highly Recommended):
We have also provided
suggested problems from the book to help you better prepare for the exam.These problems are not to be handed in.To view the suggested problems from the book,
click on the suggested bookwork link in MyMathLab.
Please be aware that Chapter 3 is the
last chapter to study, positioned between your last "regular" test
(#5 on Chapters 9 & 10) and the final exam. There is no online work
required for chapter 3, but there is some "suggested bookwork" from
your text. The math department cannot emphasize enough that reading chapter 3
and doing these exercises will help you prepare for the chapter 3 portion of
the final exam.
There are six
required tests, including a comprehensive final examination.
Exam 1 covering chapters 1
and 2
Exam 2 covering chapters 4
and 5
Exam 3 covering chapter 6
Exam 4 covering chapters 7
and 8
Exam 5 covering chapters 9
and 10
Final Exam covering all of
the above chapters and chapter 3
The problems on the exam
will be reflective of topics covered in both the online homework problems and
the suggested book problems from the sections covered. Please note that
fractions and decimals will be incorporated into tests as this is assumed prior
knowledge. You may test as soon as you are ready but each test,
including the final, has a deadline beyond which no testing on that
chapter(s) will be allowed. An instructor is available to
administer exams at Folsom Lake College Math Reading and WritingCenter, FL2-239 as well as the TutoringCenter
at EDC, C-204.For testing times and
deadline dates please use the link on the main course page in MyMathLab.If
you come by to take your exam during the regularly scheduled lab times you do
not need an appointment. Please allow one and a half hours to complete
the exam.
There will also be five
quizzes that correspond to the five units covered.These quizzes are online and have a due date
of the Monday of the Testing Deadline week for the associated unit exam.To view the deadline dates and the chapters
covered, click on the quizzes & exams button in MyMathLab.
In light of the specific
testing deadlines, we encourage you to not put off your work until just before
the deadline. Deadlines are absolute and no additional time will be
granted, as you are always able to work ahead.
Makeup Policy:
If for any reason
you cannot make it to an exam OR if you would like to retake an exam to
get a better grade, you have an opportunity to make up ONE exam.
The Makeup Exam must be taken prior to the deadline for the next
exam.There will be a 10% penalty
applied to all make ups.The score on
the make up will replace your original test score, even if your makeup score is
lower. You cannot make up the final exam.
Grading Information:
The assignments in the course have
the following point values:
5 Tests worth 100 points each
5 Quizzes at 10 points each
A number of online homework
assignments at 5 points each
1 Cumulative Final Exam worth 150
points
1 orientation assignment
worth 5 points (Due on the day you come to orientation)
1 syllabus quiz worth 10
points (Due when you come in to take the first unit exam)
Letter grades will be
assigned based on the following percentages:
A:90 % - 100%
B:80% - 89%
C:70%-79%
D:60% - 69%
F:below 60%
Grades will be submitted
at the end of finals week based on your percentage of the total points for the
course. No requests for extensions or incomplete grades will be granted.
If a student needs to retake the course, no credit for work or quizzes from a
previous semester will be granted.
Calculator Policy:
One of the fundamental
purposes of this course is to strengthen your basic mental skills in the
addition, subtraction, multiplication and division of whole numbers, fractions,
decimals, and signed numbers. When a student's mental skills are developed to a
high level, the work in this course and subsequent courses becomes much easier.
The problems in the course deal with simple fractions, decimals and signed
numbers. For that reason NO CALCULATORS are allowed in the
course.
Students are encouraged
to practice the basic addition, subtraction, multiplication and division facts
until they have been committed to memory.
Academic Integrity:
Cheating will be dealt
with swiftly and severely.At the
minimum, you will receive a zero on the exam and lose all makeup
privileges.Please read the FLC catalog
so that you know college policies.Notes, calculators, cell phones and all materials other than a pencil
and eraser are prohibited while you are taking a test.We will provide scratch paper if you desire
it.You may not speak to anyone other
than the instructor.Violation of any of
these rules is considered cheating.
Computer Labs:
There are computer labs
available for your use at FLC and EDC.For information, call (916) 608-6540 at FLC or (530) 642-5689 at EDC. | 677.169 | 1 |
Mathematical Practice throughout the curriculum. Common Core Learning Standards denoted by "★"indicate opportunities to emphasize the concepts of modeling with mathematics. In order to earn an Advanced Regents Diploma, students must pass the Integrated Algebra, Geometry, and Algebra 2/Trigonometry Regents Exams, among others, prior to graduation The Common Core Standards for Mathematical Practice are:
1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. ★ 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
NEW YORK STATE STANDARDS G.G.24Determine the negation of a statement and establish its truth value G.G.25 Know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true G.G.26 Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences
COMMON CORE LEARNING STANDARDS
(None)
ASSESSMENTS
Unit Quiz
UNIT 2 – CONNECTING ALGEBRA AND GEOMETRY THROUGH COORDINATES (20 days) TOPICS:
Use coordinates to prove simple geometric theorems algebraically. Translate between the geometric description and the equation for a conic section. RESOURCES
jmap.org; regentsprep.org;
Prentice Hall: NY Geometry Chapter 3
ESSENTIAL QUESTIONS
How can we use coordinate geometry to represent real-life situations?
NEW YORK STATE STANDARDS G.G.62 Find the slope of a perpendicular line, given the equation of a line G.G.63 Determine whether two lines are parallel, perpendicular, or neither, given their equations G.G.64 Find the equation of a line, given a point on the line and the equation of a line perpendicular to the given line G.G.65 Find the equation of a line, given a point on the line and the equation of a line parallel to the desired line G.G.66 Find the midpoint of a line segment, given its endpoints G.G.67 Find the length of a line segment, given its endpoints G.G.68 Find the equation of a line that is the perpendicular bisector of a line segment, given the endpoints of the line segment G.G.69 Investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas G.G.70 Solve systems of equations involving one linear equation and one quadratic equation graphically
COMMON CORE LEARNING STANDARDS
(CORRESPONDS TO CCLS GEOMETRY UNIT 4) G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and uses them to solve geometric problems (e.g., find the equation of a line...
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Mathematical Analysis I / Edition 1
Overview the natural sciences and its informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems and fresh applications to areas seldom touched on in real analysis books.
The first volume constitutes a complete course on one-variable calculus along with the multivariable differential calculus elucidated in an up-to-day, clear manner, with a pleasant geometric flavor.
1.4 Supplementary material 1.4.1 The cardinality of a set (cardinal numbers) 1.4.2 Axioms for set theory 1.4.3 Set-theoretic language for propositions 1.4.4 Exercises
2. The Real Numbers
2.1 Axioms and properties of real numbers 2.1.1 Definition of the set of real numbers 2.1.2 Some general algebraic properties of real numbers a. Consequences of the addition axioms b. Consequences of the multiplication axioms c. Consequences of the axiom connecting addition and multiplication d. Consequences of the order axioms e. Consequences of the axioms connecting order with addition and multiplication 2.1.3 The completeness axiom. Least upper bound
2.2 Classes of real numbers and computations 2.2.1 The natural numbers. Mathematical induction a. Definition of the set of natural numbers b. The principle of mathematical induction 2.2.2 Rational and irrational numbers a. The integers b. The rational numbers c. The irrational numbers 2.2.3 The principle of Archimedes Corollaries 2.2.4 Geometric interpretation. Computational aspects a. The real line b. Defining a number by successive approximations c. The positional computation system 2.2.5 Problems and exercises
3.1 The limit of a sequence 3.1.1 Definitions and examples 3.1.2 Properties of the limit of a sequence a. General properties b. Passage to the limit and the arithmetic operations c. Passage to the limit and inequalities 3.1.3 Existence of the limit of a sequence a. The Cauchy criterion b. A criterion for the existence of the limit of a monotonic sequence c. The number e d. Subsequences and partial limits of a sequence Concluding remarks 3.1.4 Elementary facts about series a. The sum of a series and the CauchyCauchy, A. criterion for convergence of a series b. Absolute convergence; the comparison theorem and its consequences c. The number e as the sum of a series 3.1.5 Problems and exercises
3.2 The limit of a function 3.2.1 Definitions and examples 3.2.2 Properties of the limit of a function a. General properties of the limit of a function b. Passage to the limit and arithmetic operations c. Passage to the limit and inequalities d. Two important examples 3.2.3 Limits over a base a. Bases; definition and elementary properties b. The limit of a function over a base 3.2.4 Existence of the limit of a function a. The Cauchy criterion b. The limit of a composite function c. The limit of a monotonic function d. Comparison of the asymptotic behavior of functions 3.2.5 Problems and exercises
4. Continuous Functions
4.1 Basic definitions and examples 4.1.1 Continuity of a function at a point 4.1.2 Points of discontinuity
5.1 Differentiable functions 5.1.1 Statement of the problem 5.1.2 Functions differentiable at a point 5.1.3 Tangents. Geometric meaning of the derivative 5.1.4 The role of the coordinate system 5.1.5 Some examples 5.1.6 Problems and exercises
5.4 Differential calculus used to study functions 5.4.1 Conditions for a function to be monotonic 5.4.2 Conditions for an interior extremum of a function 5.4.3 Conditions for a function to be convex 5.4.4 L'Hospital's rule 5.4.5 Constructing the graph of a function a. Graphs of the elementary functions b. Examples of sketches of graphs of functions (without application of the differential calculus) c. The use of differential calculus in constructing the graph of a function 5.4.6 Problems and exercises
5.5 Complex numbers and elementary functions 5.5.1 Complex numbers a. Algebraic extension of the field R b. Geometric interpretation of the field C 5.5.2 Convergence in C and series with complex terms Examples 5.5.3 Euler's formula and the elementary functions 5.5.4 Power series representation. Analyticity 5.5.5 Algebraic closedness of the field C 5.5.6 Problems and exercises
5.7 Primitives 5.7.1 The primitive and the indefinite integral 5.7.2 The basic general methods of finding a primitive a. Linearity of the indefinite integral b. Integration by parts c. Change of variable in an indefinite integral 5.7.3 Primitives of rational functions 5.7.4 Primitives of the form int R(cos x, sin x) dx 5.7.5 Primitives of the form int R(x,y(x)) dx 5.7.6 Problems and exercises
6. Integration
6.1 Definition of the integral 6.1.1 The problem and introductory considerations 6.1.2 Definition of the Riemann integral a. Partitions b. A base in the set of partitions c. Riemann sums d. The Riemann integral 6.1.3 The set of integrable functions a. A necessary condition for integrability b. A sufficient condition for integrability and the most important classes of integrable functions c. The vector space R[a,b] d. Lebesgue's criterion for Riemann integrability of a function 6.1.4 Problems and exercises
6.2 Linearity, additivity and monotonicity of the integral 6.2.1 The integral as a linear function on the space R[a,b] 6.2.2 The integral as an additive interval function 6.2.3 Estimation, monotonicity, the mean-value theorem a. A general estimate of the integral b. Monotonicity of the integral and the first mean-value theorem c. The second mean-value theorem for the integral 6.2.4 Problems and exercises
6.3 The integral and the derivative 6.3.1 The integral and the primitive 6.3.2 The Newton—Leibniz formula 6.3.3 Integration by parts and Taylor's formula 6.3.4 Change of variable in an integral 6.3.5 Some examples 6.3.6 Problems and exercises
6.4 Some applications of integration 6.4.1 Additive interval functions and the integral 6.4.2 Arc length 6.4.3 The area of a curvilinear trapezoid 6.4.4 Volume of a solid of revolution 6.4.5 Work and energy 6.4.6 Problems and exercises
8.2 The differential of a function of several variables 8.2.1 Differentiability and the differential at a point 8.2.2 Partial derivatives of a real-valued function 8.2.3 Coordinate representation. Jacobians 8.2.4 Partial derivatives and differentiability at a point
8.3 The basic laws of differentiation 8.3.1 Linearity of the operation of differentiation 8.3.2 Differentiation of a composite mapping (chain rule) a. The main theorem b. The differential and partial derivatives of a composite real- valued function c. The derivative with respect to a vector and the gradient of a function at a point 8.3.3 Differentiation of an inverse mapping 8.3.4 Problems and exercises
8.4 Real-valued functions of several variables 8.4.1 The mean-value theorem 8.4.2 A sufficient condition for differentiability 8.4.3 Higher-order partial derivatives 8.4.4 Taylor's formula 8.4.5 Extrema of functions of several variables 8.4.6 Some geometric images a. The graph of a function and curvilinear coordinates b. The tangent plane to the graph of a function c. The normal vector d. Tangent planes and tangent vectors 8.4.7 Problems and exercises
8.7.2 The tangent space 8.7.3 Extrema with constraint a. Statement of the problem b. A necessary condition for an extremum with constraint c. A sufficient condition for a constrained extremum 8.7.4 Problems and exercises | 677.169 | 1 |
Details about Cengage Advantage Books: Intermediate Algebra:
This traditional, straight-forward, extremely popular book helps students learn algebra concepts-by using a one-step, one-concept-at-a-time approach. All major topics are divided into small sections, each with its own examples and often with its own exercises--an approach that helps students master each section before proceeding on to the next.
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Rent Cengage Advantage Books: Intermediate Algebra 6th edition today, or search our site for other textbooks by Carol L. Johnston. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Brooks Cole. | 677.169 | 1 |
Lomita PrealgebraThrough the completion of the "UCLA 30 series" mathematics which included, but not limited to, the following topics: Infinite series, including power series solutions of differential equations, linear algebra, differential equations, finite and discrete mathematics. Since earning my B.A. and M.E...Daniel O | 677.169 | 1 |
People who understand algebra find it easy, believe it or not. The people who struggle and suffer with it and learn to hate it are the ones trying to skip understanding and just memorize procedures. It has nothing to do with talent, and everything to do with whether you understand. Every algebra teacher on Earth recommends understanding and tries to steer you away from the agony of memorizing meaningless procedures for exams.
But how do you go about understanding algebra? It can seem daunting: all those symbols, all those letters, and (seemingly) so many rules. Read the meaning of every word.
For example, what does an exponent mean? If you know what an exponent means, you'll have no difficulty remembering that x²x³ = x⁵ but (x²)³ = x⁶.
For example, know the meanings of "solve for x", "simplify", and "factor". Solving for x is something you do with an equation or inequality: you figure out what numbers could be plugged in for x to make the equation true. Simplifying and factoring are ways of rewriting an expression: simplifying rewrites so everything at the outermost level is added or subtracted, and factoring rewrites so everything at the outermost level is multiplied or divided—without changing the result of the calculation.
2
Know the purpose of every technique.
For example, what purpose does factoring serve in algebra? Factoring makes multiplication and division easy (at the cost of making addition and subtraction hard). When multiplication and division are easy, you can do things like cancel in fractions and solve for x when x appears in multiple powers in one equation (like both x and x²).
Every technique in algebra addresses some kind of difficulty that arises in solving for x—like when after you combine like terms, x still appears twice, so you can't get x alone on one side of the = sign. That's when you need to factor. Know the difficulty, know how the technique addresses it, and you will ace exams easily.
One way to remember the purpose of every technique is to have an example. For example, if you remember a very simple example of an equation with two solutions, you'll have a really solid understanding of factoring.
3
Know why each technique works.
You should be able to explain why each technique works. If it seems like arbitrary and meaningless symbol-manipulation, then you haven't understood why it works yet. For example, you should be able to explain why cross-multiplying works.
Every technique in algebra is simply a matter of undoing or combining the operations of arithmetic. To undo addition, you subtract; additions combine into multiplication. To undo multiplication, you divide; multiplications combine into exponentiation. To undo exponentiation, you take a root or a logarithm. Factoring is really the only hard one, because factoring undoes two things at once: multiplication combined with addition ("distribution").
The most important thing to understand in algebra is why you can cancel the 3's in 3x/3 but you can't cancel them in (x + 3)/3. The reason is: division undoes multiplication, but division does not undo addition. If you imagine each expression as a calculation recipe, and write out the steps that you would do to calculate the result, you will see how 3x/3 has a multiplication followed by the division that reverses it, but (x + 3)/3 doesn't.
Once you've paused to understand why each technique works, you will discover something unexpected: algebra is actually ridiculously simple, just hard to explain. There are really only a few main ideas, plus a handful of clever techniques to handle a few tricky situations that come up.
4
Take a little extra time, before or after some homework, to explain to a friend the meaning of the new words in that assignment, the purpose of the techniques, and why they work. Explaining these things to someone else will lead you toAll those homework assignments, where they have you work lots of little algebra problems, are attempts to get you to test and refine your understanding. (Too bad they never tell you that!) If you do the homework with the idea that you are trying out your understanding to see if it's right, the homework actually sticks in your brain so you can do well on exams—no suffering required!
When you first encounter an idea in algebra, you might not know the meaning of every word, its purpose, or why it works. Here's what to do: First, try to figure it out. Then, if you don't get it after 10 honest minutes of effort, ask someone! Ask your teacher, ask a friend, ask a tutor—but get those holes in your understanding patched as soon as possible. Everything in math builds on the previous things, so until you understand, you just get more confused and discouraged.
Understanding can't substitute for practice. Practice makes the patterns sink in so you can spot good approaches to algebra problems quickly. Understanding makes the practice effective.
Ask questions if you need to! Parents, teachers, older siblings, and smart friends are always great resources! Just remember, if you do it with your friend, do not do it with someone you'll get distracted by. You need to be focused on algebra.
Use the Internet! Lots of websites have helpful tutorials on explanations on how/why you do something! Just don't get off topic and start watching random videos and checking social media | 677.169 | 1 |
Overview
Need to Learn MATLAB? Problem SOLVED!
to plot functions, solve algebraic equations, and compute integrals. You'll also learn how to solve differential equations, generate numerical solutions of ODEs, and work with special functions. Packed with hundreds of sample equations and explained solutions, and featuring end-of-chapter quizzes and a final exam, this book will teach you MATLAB essentials in no time at all.
This self-teaching guide offers:
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Simple enough for a beginner, but challenging enough for an advanced user, MATLAB Demystified is your shortcut to computational precision. | 677.169 | 1 |
Related Products
Product Overview
Featuring humor, easy-to-understand explanations, and silly illustrations, Life of Fred is guaranteed to make your math studies come alive! Each text is written as a novel, including a hilarious story line based on the life of Fred Gauss. As Fred encounters the need for math during his daily exploits, he learns the methods necessary to solve his predicaments – plus loads of other interesting facts! Filled with plenty of solved examples, each book is self-teaching and reusable – perfect for families full of learners.
Introduce your students to Fred today and see how his fun, lighthearted approach to learning is revolutionizing mathematics!
Life of Fred: Elementary Physics covers the following concepts:
Numerals
Making models
Nineteen conversion factor problems
Area of a rectangle
Friction independent of speed
Constants of Proportionality
Exact speed of light
Continuous and discrete variables
Story of the meter
Pendulums
Oblate spheroids
Krypton vs. kryptonite
Square roots
Pilgrims in Massachusetts in 1620
Hard c and soft c
Normal forces
Coefficient of friction
Solving d = rt for r
How ducks pronounce mu
Graphing points
Ordered pairs
Why rocks stop falling
Hunch-conjecture-theory-law
Simultaneity doesn't exist
Inductive and deductive reasoning
How fossils and astronomy are connected
Hooke's law
Four ways to stretch a spring
Three meanings of plastic
Static vs. kinetic friction
Nine forms of energy
Energy Cards game
Calamari spaghetti
Poetry of Christina Rossetti
Most filmed spot in the world
Getting grass stains out of pants
Experimentally finding the coefficient of static friction without knowing the weight of the object | 677.169 | 1 |
Planned Sequence of Topics and/or Learning Activities
The following is a list of the minimum amount of course material to be covered by the instructor. Accompanying each topic is an approximate number of lessons required to study the topic.
Trigonometric Functions (8 lessons)
Angle Measurement (degree and radian measure)
Angle Relationships and Similar Triangles
Definitions of Trigonometric Functions
Trigonometric Functions of Acute and Non-Acute Angles
Right Triangle Trigonometry (4 lessons)
Solving Right Triangles
Applications
Circular Functions (5 lessons)
Circular Functions of Real Numbers
Linear and Angular Velocity
Graphs of the Basic Trigonometric Functions
Vertical and Horizontal Translations of Basic Graphs
Identities (6 lessons)
Pythagorean and Reciprocal Identities
Sum and Difference Identities
Half and Double Angle Identities
Verifying Identities
Inverse Functions (3 lessons)
Definitions and Graphs of Inverse Functions
Solving Equations
Solving Oblique Triangles (4 lessons)
Law of Sines
Law of Cosines
Area Formulas
Applications
Vectors (2 lessons)
Magnitude and Direction Angle
Addition, Subtraction, and Scalar Multiplication
Dot Product
Applications
Complex Numbers (2 lessons)
Trigonometric and Rectangular Form
Multiplication and Division
Powers and Roots of Complex Numbers
Polar Equations and Graphs (1 lesson)
Parametric Equations and Graphs (1 lesson)
Analytic Geometry (3 lessons)
Parabola
Ellipse
Hyperbola
Assessment Methods for Course Learning Goals
The student will apply mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students and, for the core, formal assessment using open-ended questions reflecting theoretical and applied situations.
Reference, Resource, or Learning Materials to be used by Student:
Departmentally-selected textbook. Details provided by the instructor of each course section. See course syllabus. | 677.169 | 1 |
This site has has interactive explanations and simulations of math from alegrbra to trigonometry. Just click the...
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This site has has interactive explanations and simulations of math from alegrbra to trigonometry. Just click the "interactive" tab on the top left menu and you can choose different simulations. It includes, the complete definition of parabolas, reaching beyond the ability to graph into the realm of why the graph appears as it does. It also has vivid descriptions of angles including circle angles for geometry. It also has calculators for principal nth roots, gdc, matrices, and prime factorization. It's definitely worth checking out. Quote from site: "A parabola is actually a locus of a point and a line. The point is called the focus and the line the directrix. That means that all points on a parabola are equidistant from the focus and the directrix. To change the equation and the graph of the interactive parabola below just click and drag either the point A, which is the focus, or point B, which controls the directrix." This is an interactive site that allows people to change the graph to understand why directrix and focus dictate parabolic Warehouse to your Bookmark Collection or Course ePortfolio
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The What Works Clearinghouse (WWC) develops an agenda for the education topic areas it will review each year. WWC Evidence...
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The What Works Clearinghouse (WWC) develops an agenda for the education topic areas it will review each year. WWC Evidence Report topic areas are chosen to meet the needs of K?12 and adult educators and education decision makers to identify and implement effective and replicable approaches to improving student outcomes. Topic areas for WWC Evidence Reports are defined in terms of the types of interventions, outcomes, and populations of interest in making a causal statement about whether or not interventions work. An intervention within a topic area is a documented program, practice, product, or policy that is intended to have a beneficial impact on important outcomes, such as student achievement, and that can be replicated in different Works Clearinghouse to your Bookmark Collection or Course ePortfolio
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K-12 Tech Tools wiki features over 2000 free, kid-safe, online resources and technology tools categorized by subject, grade...
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K-12 Tech Tools wiki features over 2000 free, kid-safe, online resources and technology tools categorized by subject, grade level, and standards. The website connects teachers to the variety of learning tools available on the internet and provides guides for using technology as a learning-12 Tech Tools Wiki to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material K-12 Tech Tools Wiki to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
Tagged Questions
For questions related to the teaching and learning of mathematics. Note that Mathematics Educators StackExchange may be a better home for narrowly scoped questions on specific issues in mathematics education.
I've noticed that theorems in textbooks roughly come in two varieties: those that are worth trying to prove yourself, and those that aren't. I'm not going to try and give criteria for "worth trying" ...
Now, there are 6 students who are sharing 4 desks at the library. While 4 of them are using the desks, the other 2 students have to wait and watch. If they have to use the desk for the same amount of ...
The purpose of this problem is to use vectors to show that the medians of a triangle all meet at a point. First, I have to show that $P$ (see the picture below) must lie two-thirds of the way from $B$ ...
I am asking because often times one doesn't know where to start in math. "Just learn what you need" is very vague and unspecific ... for example, assume I'm a beginner at Algebra and was considering ...
I need some math Youtube channels (or any other visual media, movies maybe...) that I can recommend to High School students, not solely as a method of learning math but more to illustrate the beauty ...
Can you suggest me a comprehensive book to revise high school mathematics (up to besic calculus)? It should be extremely clear and complete and "scientific" (not like most high school books). Thank ...
$f(x)=\sin(43x)+\cos(2x)$ is periodic function.
I got the period of $\sin(43x)$ is $\frac{2\pi/}{43}$ and period of $\cos(2x)$ is $\pi$. Then the period of $f(x)$ is $2\pi$. Am I right? Any comment? ...
When learning how to write articles in mathematics (in style of articles published in journals) is there a good reference listing things like common outlines, style guides, phrases, common mistakes ...
There is plenty of math that is beautiful without needing much explanation of theory, such as fractals, geometric patterns and the Game of Life, that may interest beginners in mathematics. However, if ...
We all know the the rules of exponents covered in freshman algebra. The question is, what is the best way to approach these topics as most 9th graders struggle in this area?
I work as an after school ...
Is anyone integrating storytelling or applied narrative as a technique/methodology to help teach undergraduate mathematics-based course work? If so, how are you using it and from which sources are you ...
Proving: $A$ is closed iff $A = \bar{A}$.
"To the right": If $A$ is closed, $ A = \bar A$
If $A$ is closed this means that it contains all of its own accumulation points. And we would find that its ...
I've been reading about Wildberger's rational trigonometry and I'm willing to learn it. I'm wondering if it's usage is accepted in undergraduate mathematics courses. It seems there's a redefinition on ...
Could people recommend resources to help my wife learn more complicated mathematics? She had a really terrible maths education, and while she essentially OK with every day maths she keeps wanting to ...
What sequence of numbers can I call as random number? What's the right way of getting $n$ random numbers?
Are the numbers generated by "dice", too known as random numbers? Can a machine (computer), ...
Hey guys I have a quiz soon and I really dont know how to prove this question. I tried my best but it is not working. Please help out with anything or hints.
Let $(A'_1, A'_2)$ be a Dedekind cut of ...
While writing a chapter of a book about mathematical analysis, I decided to compare some definitions of integrability that are usually taught to sophomore students, in Italy. I briefly collect four ...
I don't know if it is appropriate to ask here such a question since it doesn't involve a specific mathematical problem, but I think such information will be useful for many people like me...
My real ...
We know that the volume of a cube can be represented by the function: $V(x)=x^3$, where $x$ is side length. $x^2$ can represent the volume of some material that has a constant side ($1$). The function ...
I'm looking for mathematics books, courses + exercises for high school level. My daughter was high school certificated but she has stopped her studies for 5 years. She would like to be involved in new ...
I was solving an A Level past paper (November 2014 P32) when I stumbled upon this question. It first asks us to expand $\sin(2θ+θ)$ which is easy using the identity $\sin(A+B)=\sin A\cos B+\cos A\sin ...
I'm holding a 3-5 minute speech next week on mathematical problem solving, and how it makes me happy, to 15-20 non-mathematicians. As a part of it, I had thought about demonstrating two problems, but ... | 677.169 | 1 |
Details about Elementary Statistics Using the Graphing Calculator:
Elementary Statistics Using the Graphing Calculator is written for the introductory statistics course in which the TI-83 or TI-84 Plus graphing calculator is used. It is appropriate for students majoring in any field, and the use of algebra is minimal, although completion of an elementary algebra course is recommended. The hallmarks of Triola's other texts are present here: a friendly writing style, an abundance of relevant exercises with real data, and an emphasis on interpretation of statistical results. In addition, this text provides TI-83 and TI-84 Plus calculator instructions, screen displays and projects.
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Rent Elementary Statistics Using the Graphing Calculator 1st edition today, or search our site for other textbooks by Mario F. Triola. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Addison Wesley. | 677.169 | 1 |
...All of the advanced mathematics courses utilize algebra. Advanced algebra usually includes the study of logarithms and exponents, and often decibels. As a senior in college I was employed to tutor mathematics to engineering students | 677.169 | 1 |
The ultimate guide to cryptography, updated from an author team of the world's top cryptography experts. Cryptography is vital to keeping information safe, in an era when the formula to do so becomes more and more challenging. Written by a team of world-renowned cryptography experts, this essential guide is the definitive introduction to all majorNowadays most mathematics done in practice is done on a computer. In engineering it is necessary to solve more than 1 million equations simultaneously, and computers can be used to reduce the calculation time from years to minutes or even seconds. This book explains: How can we approximate these important mathematical processes? How accurate... more...
Beginning Database Design, Second Edition provides short, easy-to-read explanations of how to get database design right the first time. This book offers numerous examples to help you avoid the many pitfalls that entrap new and not-so-new database designers. Through the help of use cases and class diagrams modeled in the UML, you'll learn to... more...
In the past 50 years, discrete mathematics has developed as a far-reaching and popular language for modeling fundamental problems in computer science, biology, sociology, operations research, economics, engineering, etc. The same model may appear in different guises, or a variety of models may have enough similarities such that same ideas and techniques | 677.169 | 1 |
Description
Essential Mathematics for the Australian Curriculum is an all-new comprehensive teaching and learning program developed especially for Years 7 to 10A of the Australian Curriculum. It offers a suite of print and digital resources that cater for the full range of learning abilities and styles in the maths classroom. This teacher edition supports teachers using the Year 7 textbook with a wide variety of features designed for use in and out of the classroom. It provides margin annotations of the student text, reproduced in this text so that teachers can open to the same page as the students while accessing additional information. This teacher edition also includes an access code for additional online teacher resources, available from the Cambridge GO website. | 677.169 | 1 |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more | 677.169 | 1 |
There is no one best way for an undergraduate student to learn elementary algebra. Some kinds of presentations will please some learners and will disenchant others. This text presents elementary algebra organized accord ing to some principles of universal algebra. Many students find such a presentation of algebra appealing and easier to comprehend.... more...
Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum... more...
VI of Oregon lectures in 1962, Bass gave simplified proofs of a number of "Morita Theorems", incorporating ideas of Chase and Schanuel. One of the Morita theorems characterizes when there is an equivalence of categories mod-A R::! mod-B for two rings A and B. Morita's solution organizes ideas so efficiently that the classical Wedderburn-Artin theorem... more...
This graduate-level text is intended for initial courses in algebra that begin with first principles but proceed at a faster pace than undergraduate-level courses. It employs presentations and proofs that are accessible to students, and it provides numerous concrete examples. Exercises appear throughout the text, clarifying concepts as they arise;... more...
This book presents a graduate-level course on modern algebra. It can be used as a teaching book ? owing to the copious exercises ? and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories.... lasting...Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Algebra and Trigonometry Super Review includes sets and set operations, number systems and fundamental algebraic laws and operations, exponents and radicals, polynomials and rational... more... | 677.169 | 1 |
This is the second edition of the introduction to abstract algebra. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. There is ample material here for a two semester... more...
Actions and Invariants of Algebraic Groups presents a self-contained introduction to geometric invariant theory that links the basic theory of affine algebraic groups to Mumford's more sophisticated theory. The authors systematically exploit the viewpoint of Hopf algebra theory and the theory of comodules to simplify and compactify many of the relevant... more...
Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to know before studying the material. The book... more... | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
Introductory physics courses typically fail to provide students with significant opportunities to use a computer to solve science and engineering problems. We present an overview of recent work to develop laboratory and homework exercises on numerical modeling, simulation, and visualization for students in introductory mechanics in both high school and large enrollment university courses. | 677.169 | 1 |
This book aims to be an important aid in achieving an excellent understanding of GCSE maths. This is achieved by providing over 250 problems with worked solutions at GCSE level for the student to... More > study. Solutions are given in detail, this is to enable the student to check their progress and understanding of the topic and to iron out any difficulties they may encounter.< Less
This book aims to be an important aid in achieving an excellent understanding of high school maths. This is done by providing over 250 problems with worked solutions at
high school level for the... More > student to study. Solutions are given in detail, this is to enable the student to check their progress and understanding of the topic and to iron out any difficulties they may encounter.< Less
This book is specially designed for students interested in participating in the Mathematics Olympiad, but even those who just have a casual interest in Mathematics will find the questions here... More > intriguing and challenging. The questions in the book are arranged according to topic, and the detailed solutions and workings can be found at the back of the volume. We sincerely hope that by doing the questions in this book, students will understand and grasp the fundamental techniques required for critical Mathematical thinking.< Less
Math Mammoth Ratios, Proportions & Problem Solving is a worktext that concentrates, first of all, on two important concepts: ratios and proportions, and then on problem solving. The book suits... More > best grade levels 6 and 7.
The book starts out with the basic concepts of ratio, rate, and unit rate. The lessons on equivalent rates allow students to solve a variety of problems involving ratios and rates. We connect the tables of equivalent rates with ordered pairs, use equations (such as y = 3x) to describe these tables, and plot the ordered pairs. The lessons about proportions show how to solve proportions using cross-multiplying and how to set up proportions the correct way.
The concept of direct variation is introduced in the lesson Proportional Relationships.
The lessons Scaling Figures, Floor Plans, and Maps give useful applications and more practice to master the concepts of proportions.
Lastly, we study various kinds of word problems involving ratios and use a bar model to solve these problems | 677.169 | 1 |
Synopsis
Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks.
Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases.
The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject.
Presents the mathematical foundations of numerical analysis
Explains the mathematical details behind simulation software
Introduces many advanced concepts in modern analysis
Self-contained and mathematically rigorous
Contains problems and solutions in each chapter
Excellent follow-up course to Principles of Mathematical Analysis by Rudin | 677.169 | 1 |
Get vast information regarding all the elements of the modern Periodic Table. Download this one and you'll never find yourself short of information about the elements that make this universe. This Periodic Table contains the following information about the 116 elements known to man.
Equalculator is an equationcalculator. It is currently in the "pre-alpha" stage of development, so don't expect it to do miracles. You type in your equation, it will ask you for the variables and Voila!, it gives you the answer..
Chemical Equation Expert is an integrated tool for chemistry professionals and students. You\'ll
Advanced yet easy-to-use math calculator that immediately and precisely computes the result as you type a math expression. It allows multiples math expressions at same time. It also allows fractions and defining your own variables and functions. It has a beautiful user-interface that conveniently allows you to directly edit the expression or if you prefer use a visual keypad to enter new expressions. There is support for over 20 math functions.
Smart Math Calculator is the easiest and most convenient calculator in the world with amazing features:
-Type down any math expression and immediately observe the result.
Quadratic equation has the form ax2 + bx + c = 0. It will generally have two solutions; that is, two different values of x that make the equation true.
It can happen that both solutions are the same number, and it is possible that the solutions will be complex or imaginary numbers. To use this software, type in values for a, b, and c in the boxes below, and press the Solve for X button. You may enter positive, negative, or zero values, but the value of a cannot be zero..
DailyCalcs turns your android phone or device into a science calculator to simplify everyday tasks in the lab. Version 3.0 now has 8 Calculators, including a new Specific Productivity Calculator for use with fed-batch cell culture processes and a Transfection calculator you can use to simplify transfection experimental setup.
The Specific Productivity Calculator for fed-batch cell culture processes takes into account Duration of Culture (Days), VCD and Titer levels to calculate early and late qP results.
In the summer 2003 I discovered the world of sundials and quick found that the community of sundial maker is the next great community after the telescope makers. Practically here is only once good dial design package called Shadows, so I decided to write my own powerful design program called SUNDI, that was first demonstrated in autumn 2003.
SUNDI were written in Borland Delphi, the best programming language for Windows applications development by Ivan Krastev. The source code is not provided | 677.169 | 1 |
Business mathematics is mathematics used by commercial enterprises to record and manage business operations. Commercial organizations use mathematics in accounting, inventory management, marketing, sales forecasting, and financial analysis. Mathematics typically used in commerce includes elementary arithmetic, elementary algebra, statistics and probability. Business management can be made more effective in some cases by use of more advanced mathematics such as calculus, matrix algebra and linear programming. In academia, "Business Mathematics" includes mathematics courses taken at an undergraduate level by business students. These courses are slightly less difficult and do not always go into the same depth as other mathematics courses for people majoring in mathematics or science fields. The two most common math courses taken in this form are Business Calculus and Business Statistics. Examples used for problems in these courses are usually real-life problems from the business world.
Importance of business mathematics in the field of business:
There are many factors involved in starting and operating a business. This is true regardless of the size of the business and regardless of whether it operates form a local location or worldwide on the Internet. Any business owner should have some training in various areas such as business math or make sure that that the right people are hired that have the required training.
The importance of business math can't be overstated. It is not only necessary to keep good records of sales and expenditures so the owner knows where the business stands, but governments at all level require that proper tax records be kept. Records must be kept of sales taxes collected and owed, unemployment and social security taxes paid out and of course the income of the business. It is not necessary to have someone with a degree in accounting to handle these matters although that may be desirable for larger businesses.
Good training in business math can be obtained in a variety of ways. Most university business degree programs have business math courses as part of the requirements as do business schools that offer associate degrees. There are also good courses available from different sources on the Internet. Many of these courses are general business math courses, but there are also specific courses available for individual
Whatever the source, all businesses require someone that is thoroughly familiar with business math. This is necessary for the protection of the owner, the business, and even the employees. However, getting the training needed for someone does not have to be expensive or overly time consuming.
Some major importance of business mathematics in business:
Mathematics have been one of the primary elements of business. Since ancient times, when farmers had to count the animals in their possession and merchants had to have a clear picture of their goods' value. With the introduction of money as the universal legal tender, all goods acquired a numerical value, making math calculations even more important. Furthermore, in the competitive global market environment of today, businesses have to take advantage of every opportunity for profit, making frequent statistical market analyses a necessity.
Money Transactions:
The four basic math operations are essential to understand transactions and calculate profits and losses. On every transaction, from paying your grocery bill to making an investment, a certain amount of money is removed from one budget to another. Hence, a transaction always includes a subtraction from the buyer's budget and an addition to seller's budget. In cases of mass payments, such as during a monthly payday or when people buy tickets for a concert, you can multiply the value of individual tickets or paychecks by the number...
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Business environment refers to the combination of external and internal factors influence the organization of the operating conditions. There are several factors of the customer and the business environment, such as suppliers, technology, law and government activity and the market, social and economic trends competitions and owner, is improved.... | 677.169 | 1 |
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iRiver Story
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph. | 677.169 | 1 |
Understanding Elementary Algebra with Geometry
The text contains the same chapters as Understanding Elementary Algebra, Third Edition, plus an additional chapter on geometry to meet specific state requirements or for those courses requesting additional material on geometry.
See more details below
Paperback
Temporarily out of stock online.
Overview
The text contains the same chapters as Understanding Elementary Algebra, Third Edition, plus an additional chapter on geometry to meet specific state requirements or for those courses requesting additional material on geometry. | 677.169 | 1 |
Can someone help me with my assignment problems ? They are based on calculator cu radicali. I have read a some sample questions on system of equations and converting fractions but that didn't really help me in solving the questions on my assignment. I didn't sleep last night since I have a deadline to meet . But the problem is no matter how much time I put in, I just don't seem to be getting the hang of it. Every question poses a new problem , one which seems to be tougher than climbing Mt.Everest! I need some help as soon as possible. Somebody please guide me.
How about giving some more details of what precisely is your difficulty with calculator cu radicali? This would aid in finding out ways to search for an answer. Finding a tutor these days quickly enough and that too at a price tag that you can afford can be a testing task. On the other hand, these days there are programs that are offered to assist you with your math problems. All you need to do is to choose the most suited one. With just a click the correct answer pops up. Not only this, it assists you to arriving at the answer. This way you also get to learn to get at the correct answer.
I fully agree with what was just said . Algebrator has always come to my rescue, be it a homework or be it my preparation for the final exams, Algebrator has always helped me do well in math . It really helped me on topics like cramer's rule, adding fractions and inverse matrices. I would highly recommend this software.
least common measure, graphing and perfect square trinomial were a nightmare for me until I found Algebrator, which is really the best math program that I have ever come across. I have used it frequently through many algebra classes – College Algebra, Algebra 1 and Intermediate algebra. Simply typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my math homework would be ready. I highly recommend the program. | 677.169 | 1 |
Forget everything you?ve been taught about math. In Burn Math Class , Jason Wilkes takes the traditional approach to mathematics educationwith its unwelcoming textbooks, unexplained rules, and authoritarian assertionsand sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way... more...
Master calculus from the comfort of home! Want to "know it ALL" when it comes to calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own... more...
Whether you're a science major, an engineer, or a business graduate, calculus can be one of the most intimidating subjects around. Fortunately, Calculus for the Utterly Confused is your formula for success. Written by two experienced teachers who have taken the complexity out of calculus for thousands of students, this book breaks down tough concepts... more...
"The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.". This was the premise of the conference held at Mt. Holyoke College during 21–22 June,... more...
Almost all adults suffer a little math anxiety, especially when it comes to everyday problems they think they should be able to figure out in their heads. Want to figure the six percent sales tax on a $34.50 item? A 15 percent tip for a $13.75 check? The carpeting needed for a 12½-by-17-foot room? No one learns how to do these mental calculations... more...
With this seventh volume, as part of the series of yearbooks by the Association of Mathematics Educators in Singapore, we aim to provide a range of learning experiences and teaching strategies that mathematics teachers can judiciously select and adapt in order to deliver effective lessons to their students at the primary to secondary level. Our ultimate... more... | 677.169 | 1 |
MA125 Intermediate Algebra
for S2YPerhaps more than any subject, the successful learning of mathematics depends upon previously acquired knowledge and skill. Because of this, active participation in daily activities such as asking questions in class, reading the text, and working the assigned problems on time is essential.
I am here to help you learn. If you need any additional help or have questions, please come see me or email me.
Learning Outcomes: Core Learning Outcomes
State and use basic terminology and symbols of the discipline appropriately
Solve linear equations and inequalities in one variable and verify solution(s)
Manipulate and simplify exponential expressions
Perform arithmetic on and factor polynomials and solve polynomial equations
Solve "word" problems
Manipulate and simplify rational expressions
Manipulate and simplify radical expressions and translate into/ from exponential form
Students will be evaluated based on performance of homework, quizzes, exams, and the final.
Homework - Homework is assigned at the end of each class, and expected to be completed by the next class meeting. The homework set will be collected on the exam day
Quizzes - The quiz will be given at the beginning of each class, and the quiz problems will come from homework.
Exams - There will be two in-class exams, Mid-term and Final. Test dates will be accounced ahead of time.
Final - The final exam will be comprehensive.
Grading:
Final grades will be based on the following weights:
Mid Term Exam 30%
Final Exam 30%
Homework 10%
Quizzes 20%
Class Participation 10%
Letter grades are assigned ( based on your overall score) as follows:
A = 90 % or above
B = 80 - 89 %
C = 70 - 79%
D = 60 - 69%
F = 59% or below
Late Submission of Course Materials:
Late submission of homework will not be accepted except in extreme cases as determined by the instructor. Homework must be turned in at the beginning of class on the day it is due. Late homework will be accepted at the start of the next class meeting but will incur a 20 point (out of 100) reduction in score. The instructor will accept late assignments if extenuating circumstances exist. Late homework will not be accepted after two weeks past the due date and will receive an automatic zero for the assignment. If you are going on TDY, then you are responsible to let me know.
Classroom Rules of Conduct:
1. Attend all classes and be in class on time.
2. Be prepared. Work all homework problems and ask questions
3. Know your material. Complete the readings and homework with the purpose of LEARNING.
4. Do respect others, property, and yourself.
5. Do give 100% effort, 100% of the time!
Be certain all cell phones & pagers are turned off. If there is an emergency for which you need to leave your phone on, please inform me before the start of the class.
Course Topic/Dates/Assignments:
Week1
Chapters 1
Homework #1 is assigned
Week2
Quiz #1
Chapter 2
Homework #1 is due
Homework #2 is assigned
Week3
Quiz #2
Chapter 3
Homework #2 is due
Homework #3 is assigned
Week 4
Homework #3 is due
Midterm Review
Midterm Exam
Week 5
Chapter 4
Homework #4 is assigned
Week 6
Quiz # 3
Chapter 5
Homework #4 is due
Homework #5 is assigned.
Week 7
Quiz #4
Chapters 6
Homework #5 is due
Homework #6 is assigned.
Week 8
Homework #6 is due
Final Exam ReviewMakeup Test/Quiz
may be granted at the sole discretion of the instructor and only in the event of
unavoidable and documented absence has been provided to the instructor. Each student will be
permitted only one make-up exam per term. NO EXCEPTIONSEvaluate 4 out of 4 algebraic expressions
Evaluate 3 out of 4 algebraic expressions
Evaluate 2 out of 4 algebraic expressions
Evaluate 0 or 1 out of 4 algebraic expressions
Synthesis Outcomes 1
Simplify and manipulate 4 out of 4 algebraic expressions
Simplify and manipulate 3 out of 4 algebraic expressions
Simplify and manipulate 2 out of 4 algebraic expressions
Simplify and manipulate 0 or 1 algebraic expressions
Analysis Outcomes 2
Solve and check 4 out of 4 algebraic equations
Solve and check 3 out of 4 algebraic equations
Solve and check 2 out of 4 algebraic equations
Solve and check 0 or 1 out of 4 algebraic equations
Application Outcomes 3
Solve 4 out of 4 practical applications
Solve 3 out of 4 practical applications
Solve 2 out of 4 practical applications
Solve 0 or 1 practical applications
Content of Communication Outcomes 4
Graph 4 out of 4 linear equations or inequalities
Graph 3 out of 4 linear equations or inequalities
Graph 2 out of 4 linear equations or inequalities
Graph 0 or 1 linear equations or inequalities
Technical Skill in Communicating Outcomes 4
Find 4 out of 4 slopes of lines
Find 3 out of 4 slopes of lines
Find 2 out of 4 slopes of lines
Find 0 or 1 slopes of lines
First Literacy Outcomes (Formulas) 1, 2, 3
Use and evaluate 4 out
of 4 formulas
Use and evaluate 3 out
of 4 formulas
Use and evaluate 2 out
of 4 formulas
Use and evaluate 0 or 1 out
of 4 formulas
Second Literacy Outcomes (Order of Operations) 1, 2, 3
Apply order of operations to 4 out of 4 algebraic expressions
Apply order of operations to 3 out of 4 algebraic expressions
Apply order of operations to 2 out of 4 algebraic expressions
Apply order of operations to 0 or 1 out of 4 algebraic expressions
Copyright:
This material is protected by copyright and can not be reused without author permission. | 677.169 | 1 |
Sets for Mathematics
9780521010603
ISBN:
0521010608
Publisher: Cambridge University Press
Summary: In this textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Lawvere, F. William is the author of Sets for Mathematics, published under ISBN 9780521010603 and 0521010608. One hundred ninety eight Sets for Mathematics textbooks are available for sale on ValoreBooks.com, fifty nine used from the cheapest price of $37.93, or buy new starting at $55 | 677.169 | 1 |
With colorful photographs and interactive examples, Bruce Goldstone introduces children to the ideas of something being possible, probable, or impossible. Each spread features an easy-to-understand scenario such as dice rolling, with questions about probable outcomes and simple explanations. In the vein of Great Estimations , this is a perfect book
You wear clothes every day, but are you aware of how much math is involved in creating the outfits you put on? How Fashion Designers Use Math colorfully illustrates how designers use math to measure, create, and produce their fashions. more...
The highly-acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification has been updated to match the requirements of the new specifications, for first teaching in 2004. more...
The highly acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification, has been updated to match the requirements of the new specifications, for first teaching in 2004. This series, well-known for accessibility and for a student friendly approach, has a wealth of features: worked examples, activities, investigation,... more...
This anthology, consisting of two volumes, is intended to equip background researchers, practitioners and students of international mathematics education with intimate knowledge of mathematics education in Russia. Volume I, entitled "The History and Relevance of Russian Mathematics Education", consists of several chapters written by distinguished... more... | 677.169 | 1 |
COURSE DESCRIPTION:
This course is designed to provide the student with the basic algebraic concepts and skills necessary to meet the prerequisites for college level math courses. The course includes the arithmetic and algebra of counting numbers, integers, and rational numbers. Main topics include: the arithmetic and factoring of polynomials, the simplifying of rational and irrational expressions, laws of exponents, solving and graphing linear equations solving and graphing linear equations, solving fractional and quadratic equations, solving systems of equations, and the application of these concepts to word problems.
ATTENDANCE POLICY:
There are NO excused absences. A student is required to attend all class meetings. If a class is missed the student is held responsible for the full requirements of the class.
T-R & M-W Classes:More than 4 class absences may result in a full grade reduction. Summer Classes & Hybrid: More than 2 class absences may result in a full grade reduction
Promptness is also required. If a student misses the final exam, he will NOT be allowed to take a make up exam unless there is a documented emergency.Missing the final exam will result in an automatic failure of the course.
GRADING POLICY:
Grades will be based on 3-4 exams, quizzes and a final exam. The final exam will count 25%-50% of the final course grade. A minimum competency in elementary algebra is necessary to pass the course. There are no make up quizzes. An average of "D" is necessary to pass the course.
A 90 - 100
B 80 - 89
C 70 – 79
D 60 – 69
RV Recommended for 4 day Algebra Review Course
F Below 60
CELL PHONE POLICY:
All cell phones will be turned OFF during class sessions. If a cell phone is answered during a test, it will result in an automatic failure of the test. Text messaging during a test will result in an automatic failure of the test. No bluetooth adapters or headset permitted in the classroom. No text messaging permitted during class.
Camden County College is committed to providing reasonable accommodations for all persons with disabilities. If you have specific physical, psychiatric, or learning disabilities and require accommodations, please contact the PACS office as soon as possible to ensure that such accommodations can be implemented in timely fashion.
Go to for on line assignments & help. Click on the link marked "Sign up now" (in the center, towards the lower part of the page, under NEW USER) and supply the course code with other information when prompted. | 677.169 | 1 |
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Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! ELEMENTARY Thomson NOW for ELEMENTARY ALGEBRA, a personalized online learning companion.
Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! INTERMEDIATE CengageNOW for INTERMEDIATE ALGEBRA, a personalized online learning companion.
Gain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner's TRIGONOMETRY, Sixth EditionGain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner's TRIGONOMETRY | 677.169 | 1 |
Find a Pocopson GeometryNow, twelve chapters later, I can explain to you concepts in Algebra like a chef can talk about his cooking. Whatever question you might have, please don't be afraid to ask, and I will be happy to explain it to you! Prealgebra is the middle ground where students begin to work with variables and find unknowns | 677.169 | 1 |
Intermediate Algebra
This algebra course covers radicals, exponents, concepts of relations and functions, exponential and logarithmic functions, linear and quadratic functions, and the solutions of equations from these topics.
Subject:MATH Course Number:64 Section Number:2155 Units:4 Instructor:
Instructor information about this course
Learning Management System (LMS) for this course:Custom LMS link: Course start page: Course email:abeltran-aguilar@miracosta.edu Office: Office hours: Phone: Instructor notes:This online class requires students to use a computer with reliable internet service to access online learning materials. Students must take proctored (paper-and-pencil) tests given on the MiraCosta campus. To be officially enrolled in this class, you must first add it in SURF. Also, you must register in CourseCompass (MyMathLab), and begin submitting assignments by the first day of class (Monday August 20, 2012).
Go to and click on 'Course Information' for more details. | 677.169 | 1 |
A First Course in Mathematical Modeling
A First Course in Mathematical Modeling, 4th Edition
A First Course in Mathematical Modeling
Summary
Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5th Edition delivers an excellent balance of theory and practice, and gives you relevant, hands-on experience developing and sharpening your modeling skills. Throughout, the book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides myriad opportunities for practice. The authors apply a proven six-step problem-solving process to enhance your problem-solving capabilities -- whatever your level. In addition, rather than simply emphasizing the calculation step, the authors first help you learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible -- beginning with short projects -- this text facilitates your progressive development and confidence in mathematics and modeling. | 677.169 | 1 |
How to Help Your Child Excel in Math05 8vo-over 7¾"-9¾" tall. Wraps have only light wear, spine unbent. Pages are clean, text is unmarked.
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About the Book
The book is an alphabetical dictionary and handbook that gives parents of elementary, middle school, and high school students what they need to know to help their children understand the math they're learning. The book can also be used by students themselves and is suitable for anybody who is reviewing math to take standardized tests or other exams. Foreign students, whose English-language mathematics vocabulary needs to be strengthened, will also benefit from this book. | 677.169 | 1 |
Details about An Algebraic Introduction to K-Theory:
This book is both an introduction to K-theory and a text in algebra. These two roles are entirely compatible. On the one hand, nothing more than the basic algebra of groups, rings, and modules is needed to explain the clasical algebraic K-theory. On the other hand, K-theory is a natural organizing principle for the standard topics of a second course in algebra, and these topics are presented carefully here. The reader will not only learn algebraic K-theory, but also Dedekind domains, class groups, semisimple rings, character theory, quadratic forms, tensor products, localization, completion, tensor algebras, symmetric algebras, exterior algebras, central simple algebras, and Brauer groups. The presentation is self-contained, with all the necessary background and proofs, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. The prerequisites are minimal: just a first semester of algebra (including Galois theory and modules over a principal ideal domain). No experience with homological algebra, analysis, geometry, number theory, or topology is assumed. The author has successfuly used this text to teach algebra to first year graduate students. Selected topics can be used to construct a variety of one-semester courses; coverage of the entire text requires a full year.
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Rent An Algebraic Introduction to K-Theory 1st edition today, or search our site for other textbooks by Bruce A. Magurn. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Cambridge University Press. | 677.169 | 1 |
Were you always curious about biology but were afraid to sit through long hours of dense reading? Did you like the subject when you were in high school but had other plans after you graduated? Now you can explore...
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Besides being an important area of math for everyday use, algebra is a passport to studying subjects like calculus, trigonometry, number theory, and geometry, just to name a few. To understand algebra is to...
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With its use of multiple variables, functions, and formulas algebra can be confusing and overwhelming to learn and easy to forget. Perfect for students who need to review or reference critical concepts, Algebra... | 677.169 | 1 |
Here, you'll find everything you need to study for or to teach Edexcel's International GCSE in Further Pure Mathematics, including key documents and the latest news.
Our Edexcel International GCSE in Further Pure Mathematics is designed for students who have a high ability in or are motivated by mathematics. Learners will develop an understanding of mathematical reasoning and processes, and the ability to relate different areas of mathematics.
Course materials
Support for
Why choose this specification?
The Edexcel International GCSE in Further Pure Mathematics specification is assessed through two examination papers. For students who have a high ability in, or are motivated by, mathematics, it's designed as a two-year course for teaching in international schools and colleges and UK independent schools. The specification has been constructed to broaden knowledge of the topics in our International GCSEs in Mathematics A and Mathematics B. | 677.169 | 1 |
Computer mediated courses meet on campus, as frequently as a lecture course would meet, in a computer classroom. Software is the primary delivery method for the course material in the classroom. Students may also
use the software outside of class in ACC Learning Labs, or on any computer that meets the minimum requirements. However, attendance is mandatory.
Distance learning is done primarily off-campus, at the students home or some other chosen location. For more location about the distance learning course delivery option, see
In both of these formats, students learn mathematics primarily using the computer
software rather than the traditional lecture/discussion method of instruction. Tests are in written work format, given on campus in a secure test environment such as the classroom or an ACC testing center.
The same materials are used in all sections of a course, regardless of whether the format is computer-mediated, distance learning, or lecture. However,
some teachers in lecture sections may not use web software much and ALL of the computer-mediated classes and distance learning classes use web software.
In ACC bookstores, the shrink-wrapped package of materials for this
course includes a folder with the access number for the web software
called MyMathLab. If you purchase a shrink-wrapped package of materials,
please don't open it until you talk with your instructor to be sure you
are in the right course. Shrink-wrapped materials are NOT RETURNABLE
after they are opened.
Used books do not contain access to MyMathLab and so students who purchase a used textbook must
purchase MyMathLab separately. New books purchased in some way
other than through the ACC bookstore may or may not include access to
MyMathLab.
Students in these classes are in charge of their learning in a way that
is different from a traditional lecture class. The format of the course is somewhat
self-paced. This allows the student some freedom to set the speed at which he/she
works through the material, which means that he/she may be able to complete
the course before the end of the semester. It also means that students may spend
less time on topics with which they are already familiar and more time on topics
that are troublesome for them. Students will be provided with a weekly schedule
of topics to be covered and a schedule of exams. In order to complete the course
within the sixteen-week semester, students must generally keep up with the weekly
schedule and test schedule. In order to succeed in this class, students should
plan to spend about 9 to 12 hours each week working on the material, depending
on how much of the material is already review for them. | 677.169 | 1 |
Basic Concepts of Mathematics
Publisher: The Trillia Group 2007 ISBN/ASIN: 1931705003 Number of pages: 208
Description: The book will help students complete the transition from purely manipulative to rigorous mathematics. It covers basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers, fields, and basic properties of n-dimensional Euclidean spaces. | 677.169 | 1 |
Possibly the worst class ever created in the history of mathematics and education in general. You sit in a classroom listening to a boring teacher talking about solving for x, writing y as a function of x, and finding out what the slope is of (18, 92) and (68, 92). While in this class, half of the students understand it perfectly and end up getting A's and sometimes even 100's on the tests, while the rest of us who suck donkey balls at algebra study for five fucking hours only to receive a fucking 30 on the test.
Right now I have an F in Ms. Preston's algebra class. Yeah motherfucker, an F. Why? Because I would rather drink pinkish-red colored anal excretions than do algebra. Why, just last night I studied for about two hours for a fucking algebra test I ended getting a fucking F on. Who cares if I fail, I'm never going to need this shit in the real world.
1. an exotic form of torture. see also geometry.
2. the art of figuring what "y" equals when "x" equals 10 through confusing formulas such ast y=12x^2-563x+1/4
3. a method of making high school math teachers feel important.
1. I was a naughty boy, so i had to take algebra.
2. i wanted to figure what y was when y equaled 2 to the third, i think.
3. my math teacher has no talent in anything
An evil form of magic that only the best of sorcerers can master. Not only does it involve numbers, but letters (mostly x and y). They somehow rearrange themselves into supposedly simpler forms of themselves. I don't know how because I have not mastered the dark magic of algebra yet, nor do I intend to. Teachers try to teach you formulas to learn the magic, but half the time it would only take a true sorcerer to know what's going on.
Teacher: Today in algebra, we will be learning about simplifying fractions. Simplify the following problem:
10x/3x2 + 4/x-1 + 5/6x
evil noun - An ancient Middle Eastern torture method used today by Al-Queida to torture captured US soldiers to death.
A standard torture session should proceed like this:
After hours of trying to figure out why the square root of six equals the product of 2178#$^#21#@*(3.3824, the terrorists unleash a barrage of "simple algebraic equations" to destroy their mind and then beat them with a bag filled with Algebra books. After that, they stab them with a spike dipped in variable poison and shoot them in the dick. It pretty much sucks balls.
1. A class that makes complete sense to some people, while annoying the hell out of others.
2. An article of clothing worn by mermaids
1. Dude Louis just got a 100 on his algebra test without studying! And I studied for like 3 hours, but I only got a 46!
2. If you want to get to second base with a mermaid, you have to take her algebra off. | 677.169 | 1 |
Homeschool Math Store
Find the best homeschool math curriculum for each of your students! Shop the Math Store for homeschool favorites like Saxon Math, Singapore Math, Math-U-See, and Teaching Textbooks curriculum, as well as math workbooks, supplements, hands-on manipulatives, storybooks, and more.
Jacobs' Geometry: Seeing, Doing, Understanding, 3rd Edition features a unique, proof-based approach to geometry that integrates discussions, cartoons, anecdotes, examples, and plenty of exercises. With a greater emphasis on problems, rather than long introductory instructions, this is a great text for learning-through-doing. Sixteen units plus a final review are included and together cover: lines, angles, direct and indirect proofs, congruence, inequalities, parallel lines, quadrilaterals, transformations, area, similarity, triangles, circles, concurrence theorems, non-Euclidean geometries, and more. A section for the postulates and theorems is included in the back of the book, along with answers to selected exercises. 780 pages with full-color illustrations; indexed; hardcover. Non-consumable text. 3rd Edition. Grades 7-12. | 677.169 | 1 |
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Read More the solutions obtained, and, on the other hand, by the many application domains computer graphics, geographic information systems (GIS), robotics, and others in which geometric algorithms play a fundamental role. For many geometric problems the early algorithmic solutions were either slow or dif?cult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simpli?ed many of the previous approaches. In this textbook we have tried to make these modern algorithmic solutions accessible to a large audience. The book has been written as a textbook for a course in computational geometry, but it can also be used for self-study."
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New. This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all | 677.169 | 1 |
More Math Into LaTeX
This is the fourth edition of the standard text and complete reference for scientists and engineers. This fully revised version includes important updates on articles and books as well as information on creating transparencies for classrooms and professional meetings.
'Gratzer's book is a solution.' -European Mathematical Society Newsletter For close to two decades, Math into Latex has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. In this fourth edition, the reader is provided with important updates on articles and books. An important new topic is discussed: transparencies (computer projections). Key features of More Math into Latex, 4th edition: - Installation instructions for PC and Mac users - An example-based, visual approach and a gentle introduction with the Short Course - A detailed exposition of multiline math formulas with a Visual Guide - A unified approach to Tex, Latex, and the AMS enhancements - A quick introduction to creating presentations with computer projections From earlier reviews of Math into Latex: 'There are several Latex guides, but this one wins hands down for the elegance of its approach and breadth of coverage.' -Amazon.com Best of 2000, Editor's choice 'A novice reader will be able to learn the most essential features of Latex sufficient to begin typesetting papers within a few hours of time…An experienced Tex user, on the other hand, will find a systematic and detailed discussion of Latex features.' -Report on Mathematical Physics 'A very helpful and useful tool for all scientists and engineers.' -Review of Astronomical Tools
Table of Contents
Table of Contents
Preface.
Introduction.
Setting Up.
Part I. Typing your first article.
Part II. Text and math.
Typing text.
Text environments.
Typing math.
Multiline math displays.
Part III. Document structure.
LaTeX documents.
Standard LaTeX document classes.
AMS documents.
Part IV. Presentations and pdf files.
Simple presentations.
Presentations on steroids.
Hyperlinks and pdf files.
Part V. Customization.
Customizing LaTeX.
Part VI. Long Documents.
BibTeX.
MakeIndex.
amsrefs.
Books in LaTeX.
Appendix A. Math symbol tables.
Appendix B. Text symbol tables.
Appendix C. Background.
Appendix D. TeX on the Web.
Appendix E. PostScript fonts.
Appendix F. LaTeX localized.
Appendix G. A book document class.
Appendix H. Final word.
Bibliography | 677.169 | 1 |
Review
"[Kline] is unfalteringly clear in explaining mathematical ideas; he is learned but not pedantic; he has historical discernment, a sympathetic social outlook and a nice sense of fun and irony.... The beauty and fascination and rare excellence of mathematics emerge from his story. It is an exciting, provocative book."--Scientific American
"Still the best textbook for the history and philosophy of mathematics for undergraduate liberal arts students. Especially good for the age of the Scientific Revulution."--Janet A. Fitzgerald, Molloy College, NY
About the Author
Morris Kline is Professor of Mathematics, Emeritus, at the Courant Institute of Mathematical Sciences, New York University, where he directed the Division of Electromagnetic Research for twenty years.
The late Richard Courant, headed the Department of Mathematicas at New York University and was Director of the Institute of Mathematical Sciences--which has subsequently renamed the Courant Institute of Mathematical Sciences. His book Mathematical Physics is familiar to every physicist, and his book Differential and Integral Calculus is acknowledged to be one of the best presentations of the subject written in modern times. Herbert Robbins is New Jersey Professor of Mathematical Statistics at Rutgers University. Ian Stewart is Professor of Mathematics at the University of Warwick, and author of Nature's Numbers and Does God Play Dice?. He also writes the "Mathematical Recreations" column in Scientific American.
Top Customer Reviews
This book is geared to the general reader who has a cursory knowledge of mathematics. The chapters are organized around physical phenomena and the math behind their explanation. The result is a charming and VERY useful book. I have the 1970 edition which is quite worn from frequent use. The chapter titled, Differential Equations - The Heart Of Analysis, is exceptionally beautiful and pertinent. Reading this book is akin to a treasure hunt. There is page after page of mathematical discovery. Reading the chapter on Motion Of Projectiles made me terribly angry at the banal way in which this topic is handled in high school texts. Things such as quadratic equations and the law of gravitation are explained very well. I sincerely believe that this book should be a required text for High School math students. Highly recommended. The Dover edition is very affordable so even if it means foregoing a meal, do it. Buy this book! Well worth your time.
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Kline's book is a surprisingly accessible history of math, equations and all. It's a perfect balance for those who know their history and want to know more about the math behind scientific ideas, and those who know their math and want to delve into the practical applications of mathematical ideas. I loved the examination of how Eratosthenes calculated the circumference of the earth pretty accurately for a guy without so much as a telescope. I had terrific "aha" experiences reading the book, and the students I tutor in math are getting a bunch of interesting background stories with their algebra lessons. Galileo's and Newton's calculations are a great way for the theoretically inclined to get their feet wet in physics. For all of us mathematicians who actually thought math developed in a vacuum, this book has excellent examples of how inextricably linked math, science and history are.
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I still have a hard time deciding if this is a book about math or physics, but actually, it's about both. Kline follows the history of physics beginning with the Greeks as a way to describe the evolution of mathematics up to the 20th century, and he does it brilliantly.
Kline is a master teacher, and his enthusiasm for his subject is evident. This is probably the clearest writing on mathematics (and physics) that I have ever seen. His chapters on the differential and integral calculus make their basic principles understandable to anyone with a high-school mathematics education -- not an easy task.
He shows how again and again through history, problems in physics led to mathematical discoveries which not only allowed the physical problems to be solved, but also advanced mathematics itself. And yet nowhere in the book is anything beyond simple algebra and geometry required to understand what he's saying. A remarkable achievement.
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I agree with the above review and would simply like to add my own thoughts. The book illustrates the fascinating way in which mathematics, society, religion, politics and of course physics have affected each other (it goes both ways!) through out the ages. Furthermore, the author nicely illustrates the processes by which people think and how those processes have also changed through the ages (i.e., The Age of Reason versus The Renisance). This book left me with real insights as to the nature and limitations of the current state of mathematics and physics. Things are not as they seem, my friend! Lastly, the author displays an appreciation for the humor and irony of the history which makes this book hard to put down at times. I never thought a math/history book could be a "page turner"... Read it.
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In most mathematics classes, students are presented with a completed edifice, and given a floor plan to help them navigate the halls. While this approach works for many people, others need a little more basic information. In this book, Morris Kline builds the building, starting with the mud and straw of the bricks. "Mathematics in Western Culture" shows that the history of mathematics is one of hundreds of years of people sitting in the sand, drawing shapes and lines, scratching their heads, and trying to figure things out. This is not necessarily Dr. Kline's intention for the book, but this is certainly one of the many messages to be derived from it. A fascinating, exciting book which makes mathematics more understandable and accessible.
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This book is excellent! Have you ever wondered, where did math come from? What caused/ how has math to developed? If so this book will hit the nail on the head for you. Dr. Kline is fabulous in this book, he explains things very clearly and gives the reader an overview of some of the more practical uses of math. After reading this book you will look at the world with a much better understanding of how math is used in the real world.
Kline also explains why math is so abstract (think of the way American schools teach math). Along with this he explains why math is so precise (due to it's being limited to using inductive reasoning only).
In fact, this book is a humanities course mixed in with the practical usage of mathematics, which all add up to a brilliant text. But don't be mislead, the book is not absent of the actual equations to help you understand some of the math. It's just simplified so as to be short of a textbook on how to do mathematics.
If this review is not helpful to you, or you think it could be improved please email your thoughts to:
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Using and Understanding Mathematics: A Quantitative Reasoning Approach
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Read More problem-solving tools that they will need to think critically about quantitative issues in contemporary society. This program will provide a better teaching and learning experience-for you and your students. Here's how: *Improved results with MyMathLab(R), which is designed to work hand-in-hand with the book and offers additional practice and learning aids that improve student learning in measurable ways.*The real-world focus turns students' attention to the math they will need for college, career, and life.* A wide range of exercises and problem types end each unit, making it easy for instructors to create assignments to fit their course goals.*Study and review features in every chapter are designed to help students use their time effectively. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 0321923219 / 9780321923219 Using and Understanding Mathematics: A Quantitative Reasoning Approach plus NEW MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321914627 / 9780321914620 Using and Understanding Mathematics: A Quantitative Reasoning Approach 6/eUsing and Understanding Mathematics: A Quantitative Reasoning Approach
by Jeffrey O Bennett
Helpful math
This is a good textbook to learn math with. I didn't have the chance to really use it in my math class, but the information contained within is solid.
Deborah M
Feb 7, 2013
Poor Condition- not "good"
The book itself is clearly written and suitable for self study.
No quadratics, though............ :(
But the book itself was in much poorer condition than I had expected. It was nearly completely separated from its bindiong.
rosabas
Jun 17, 2011
Challenging enough for non-math persons
I am not a math major yet I was challenged by the content in this book. It did not create the impulse to turn tail and head for the hills. Its simple, straightforward language, clear examples, and helpful real-world context provide an excellent rationale as to why one should embrace the comprehensive world of mathematics (we cross paths with it every day). Even though the thought of polynomials, orders of magnitude, and CPI index numbers threaten to send my wearied mind spinning, this book has been an anchor for me so that I steadfastly face the windmills like the man of La Mancha. I highly recommend this title.
-Roberto Sabas
Dee2
Oct 2, 2008
Great learning tool
This book covers a lot of ground but does it very well. The content covers real-world situations: finances, currency conversion, power usage, statistics, and more. The writing is very clear, and there are little overview sections that help refresh old math skills and explain advanced calculator functions. There is also a related web site with additional information. I plan to hold onto this book until I squeeze all the info I can out of it!
Phalanx
Sep 11, 2008
Good textbook
This textbook is well written and has lots of helpful features to really assist in the learning | 677.169 | 1 |
Product Description
Are your teens befuddled by geometry? Stop the guesswork and let an award-winning math teacher teach them how---and why---it works! Packed with 1,000 problems and solutions, this innovative text includes annotations that clarify each problem and fill in the missing steps needed to reach the solutions. You'll soon trade confusion for confidence! 544 pages, softcover from Alpha Books.
Publisher's Description
An ingenious problem-solving solution for befuddled math students.
A bestselling math book author takes what appears to be a typical geometry workbook, full of solved problems, and makes notes in the margins adding missing steps and simplifying concepts so that otherwise baffling solutions are made perfectly clear. By learning how to interpret and solve problems as they are presented in courses, students become fully prepared to solve any obscure problem. No more solving by trial and error!
• Includes 1000 problems and solutions • Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other geometry workbook on the market • The previous two books in the series on calculus and algebra sell very well | 677.169 | 1 |
Mathematical sciences have been playing an increasingly important role in modern society. They are in high demand for investigating complex problems in physical science, environmental and geophysical sciences, materials science, life science and chemical sciences. This is a review volume on some timely and interesting topics in applied mathematical
This book shows how creative maths can really work. Exploring the ways in which maths skills can be learned through cross-curricular activities based on visual arts and music, the book presents maths as a meaningful and exciting subject which holds no fears for children. The authors recognise that while maths-phobia prevails in our increasingly... more...
Currently there is substantial exchange and communication between academic communities around the world as researchers endeavour to discover why so many children 'fail' at a subject that society deems crucial for future economic survival. This book charts current thinking and trends in teacher education around the world, and looks critically at the... more...
A practical introduction to Maths teaching designed specifically for beginning teachers in primary and secondary schools. It brings together the latest DfES and TTA guidelines and requirements with authoritative guidance, ensuring that readers feel confident about how to approach their role as a teacher. This book explores key issues in maths teaching... more...
If learners in the classroom are to be excited by mathematics, teachers need to be both well informed about current initiatives and able to see how what is expected of them can be translated into rich and stimulating classroom strategies. The book examines current initiatives that affect teaching mathematics and identifies pointers for action in... more...
The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students' understanding of the mathematics being taught. more...
Mathematics for Curriculum Leaders involves teachers in a deliberate enquiry into the nature of understanding in mathematics and the ideas underlying its teaching and learning. Helping children with the language of mathematics is shown to play an important part in mathematics teaching. The pack is divided into 7 units drawing upon the demands of the... more... | 677.169 | 1 |
This book synthesizes twenty years of research to argue for a theory of graded representations in pattern generalization, which offers a more robust understanding of differences in patterning competence, one which is sensitive to varying levels of entry. more...
To what extent do curriculum subjects, particularly highly abstract ones such as Mathematics, have their own unique special needs? This book celebrates the work done by subject specialists in mainstream classrooms to promote inclusive practice. It describes new and creative ways of developing mathematical thinking among pupils. Each chapter demonstrates... more...
Do your students have difficulty understanding math terms??Remembering the steps of algorithms in sequence? Interpreting data in displays? Our math study skills program will help you teach them math and how to learn! Essential to the program is the comprehensive Teacher's Guide. It provides a focus on the importance of study skills, directions for... more...
During the past two decades, Chris Confer and Marco Ramirez have worked to deepen and improve mathematics instruction at schools around the country. Wherever they go, they find the raw ingredients for success already present: "The potential for positive change lies within each school. Abundance is present in the form of capable children, teachers,...This close-up look at the structure and content of the Common Core high school mathematics standards is designed to kick off implementation at the classroom level. Teachers will find information on how the mathematical content and practice standards work together across conceptual categories, domains, and grade bands to prepare students for the next... more... | 677.169 | 1 |
Math Resources
I keep asking on here so can people just post good resources they know. I'm currently going through the precalculus course in Coursera even though I know virtually everything so far. I just need to pick up little important details I missed. Some of these only cover up to high school math or the math you might get in the first year of college.
"School conditions you to reject your own judgement and experiences. The facts are in the textbook. Memorize and follow the rules. What they don't tell you is the people that discovered the facts and wrote the textbooks are people like you and me." | 677.169 | 1 |
Introductory Mathematics
Description
This course is an introductory mathematics course which will cover basic skills in numeracy, algebra, linear function, graphing, probability and statistics. The course aims to provide a sound foundation in basic mathematical skills and an introduction to their application to problem solving.
Requisite
To enrol in this course students must be active in the Open Foundation Program or the Yapug Program. You cannot enrol in this course if you are enrolled in EPMATH302, or EPMATH309, or EPMATH134, or EPMATH234. | 677.169 | 1 |
Learn what matrices are and about their various uses: solving systems of equations, transforming shapes and vectors, and representing real-world situations. Learn how to add, subtract, and multiply matrices, and find the inverses of matrices.
Introduction to matrices
Learn what matrices are and about their parts (coordinates and dimensions). | 677.169 | 1 |
This is an excellent introduction to the subject written by distinguished scholars. It is more ambitious than an average textbook containing material such as: (1) a thorough treatment of module theory over Dedekind rings -- a topic obviously close to hearts of the authors; (2) properties of differents and discriminants; (3) a short introduction to elliptic curves meant to encourage the reader to learn more; (4) Brauer relations between Dedekind zeta-functions. There are 93 exercises. Throughout the text great stress is laid on worked concrete numerical examples. As prerequisites the authors assume familiarity with elementary topology, Galois theory, and basic module theory including tensor products. The chapter headings are: I Algebraic foundations, II Dedekind domains (valuations, completions and module theory), III Extensions (decomposition, ramification, discriminants and differents), IV Class- groups and units, V Fields of low degree (concrete applications of general results to fields of degree six or less), VI Cyclotomic fields (including Gauss sums and elliptic curves), VII Diophantine equations (Fermat's last theorem, quadratic forms, cubic equations), VIII L- functions (including the Dedekind zeta-function, class number formulae and Brauer relations). | 677.169 | 1 |
new, revised edition of the bestselling Speed Mathematics features new chapters on memorising numbers and general information, calculating statistics and compound interest, square roots, logarithms and easy trig calculations. Written so anyone can understand, this book teaches simple strategies that will enable readers to make lightning-quick calculations. People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent. With Speed Mathematics you'll discover methods to make maths easy and fun. This book is perfect for students, parents, teachers and anyone who enjoys working with figures and even those who are terrified of numbers! | 677.169 | 1 |
Chapters 1-3 focus on integers, rational numbers and real numbers in order to set the stage for equations, inequalities and functions. Real-World applications to the more abstract algebraic concepts are found throughout the text. More than 5 Activity Labs per chapter ensure students receive the visual and special instruction necessary to conceptualize these abstract concepts and prepare them for advanced math courses.
From the authors: We have designed this unique mathematics program with you in mind. We hope that Prentice Hall Mathematics will help you make sense of the mathematics you learn. We want to enable you to tap into the power of mathematics | 677.169 | 1 |
Calculus for Biology and Medicine
Calculus For Biology and Medicine
Summary
For a two-semester course in Calculus for Life Sciences. The first calculus text that adequately addresses the special needs of students in the biological sciences, this volume teaches calculus in the biology context without compromising the level of regular calculus. It is a essentially a calculus text, written so that a math professor without a biology background can teach from it successfully. The material is organized in the standard way and explains how the different concepts are logically related. Each new concept is typically introduced with a biological example; the concept is then developed without the biological context and then the concept is tied into additional biological examples. This allows students to first see why a certain concept is important, then lets them focus on how to use the concepts without getting distracted by applications, and then, once students feel more comfortable with the concepts, it revisits the biological applications to make sure that they can apply the concepts. The text features exceptionally detailed, step-by-step, worked-out examples and a variety of problems, including an unusually large number of word problems in a biological context.
Table of Contents
1. Preview and Review.
Preliminaries. Elementary Functions. Graphing. Review Problems.
2. Limits and Continuity.
Limits. Continuity. The Sandwich Theorem and Some Trigonometric Limits. Limits at Infinity. Continuity.
3. Differentiation.
Formal Definition of the Derivative. The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials. The Product and Quotient Rules, and the Derivatives of Rational and Power Functions. The Chain Rule and Higher Derivatives. Derivatives of Trigonometric Functions. Derivatives of Exponential Functions. Derivatives of Inverse and Logarithmic Functions. Approximation and Local Linearity. | 677.169 | 1 |
MATH 112: Mathematics for Elementary Teachers II (3 credits)
Course Description
Math 112 is the second of a two-course sequence designed to give prospective elementary education majors the depth of understanding necessary to teach mathematics in the elementary classroom. Topics include the representation of and operations on the natural numbers and properties of those operations. Emphasis will be on communication, connections and problem solving, representation and reasoning. (3 hours lecture)
Pre-Requisite(s): Grade of "C" or better in MATH 111.
Student Learning Outcomes
Upon completion of the course, the student will be able to:
Communicate about arithmetic operations using set theory and counting in written and/or oral form.
Explain the relationship between addition and subtraction; and between multiplication and division.
Represent operations of addition and multiplication using translations along a line and composition of translations.
Interpret new functions created by magnification and reflection.
Discuss primes and their relationship to composite numbers.
Interpret a rational number as a ratio when connected to probabilities, or as a rate such as speed and averages.
Use dimensional analysis to help solve a problem.
Define an irrational number and explain the significance of specific irrational numbers such as pi. | 677.169 | 1 |
This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the... more...
This book examines matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. more... | 677.169 | 1 |
Details about Mathematics and Statistics for Financial Risk Management:
Mathematics and Statistics for Financial Risk Management is a practical guide to modern financial risk management for both practitioners and academics.The recent financial crisis and its impact on the broader economy underscore the importance of financial risk management in today's world. At the same time, financial products and investment strategies are becoming increasingly complex. Today, it is more important than ever that risk managers possess a sound understanding of mathematics and statistics.In a concise and easy-to-read style, each chapter of this book introduces a different topic in mathematics or statistics. As different techniques are introduced, sample problems and application sections demonstrate how these techniques can be applied to actual risk management problems. Exercises at the end of each chapter and the accompanying solutions at the end of the book allow readers to practice the techniques they are learning and monitor their progress. A companion website includes interactive Excel spreadsheet examples and templates.This comprehensive resource covers basic statistical concepts from volatility and Bayes' Law to regression analysis and hypothesis testing. Widely used risk models, including Value-at-Risk, factor analysis, Monte Carlo simulations, and stress testing are also explored. A chapter on time series analysis introduces interest rate modeling, GARCH, and jump-diffusion models. Bond pricing, portfolio credit risk, optimal hedging, and many other financial risk topics are covered as well.If you're looking for a book that will help you understand the mathematics and statistics of financial risk management, look no further.
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Rent Mathematics and Statistics for Financial Risk Management 1st edition today, or search our site for other textbooks by Michael B. Miller. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Wiley. | 677.169 | 1 |
Dr. Judith Packer, Dept. of Mathematics
Course Information:
Fourier analysis, first developed by Joseph Fourier in the 1800's, is a way of studying functions by decomposing them into certain
types of "building block" functions. In calculus, you have learned how nice enough functions can be given Taylor series
expansions and approximated by polynomials. Fourier's idea was that nice enough functions on closed, bounded intervals of
R could be given a infinite series expansion involving the trigonometric functions
{cosnx: n= 0, 1, 2, ...}, and {sin nx: n = 1, 2, ...}. This great idea was very fruitful and had many applications,
particularly in the field of partial differential equations coming from physics.
The material to be covered includes the Appendix, most of Chapters 1 and 3, and parts of
Chapters 2, 5, and 6, in the book "Fourier Analysis"
by Eric Stade. Topics include:
A review of the definition and arithmetic of complex numbers, periodic functions on the real line
R, and functions on the circle T, trigonometric functions with period 2 pi,
Fourier coefficients of periodic functions, Fourier series, convergence of Fourier series,
Gibb's phenonomenon for Fourier series at points of discontinuity, study of uniform convergence, differentiaion and
integration of Fourier series, Fourier series with other periods,
applications of Fourier series to solutions to boundary value problems in partial differntial equations: the heat equation and the wave equation,
vector spaces of functions, L^2 spaces and inner products, the Hilbert space L^2([-pi, pi],), orthogonality and orthonormal
bases for L^2([-pi, pi],), functions defined on R, the function space L^1(R), convolution of functions defined on R, the Fourier transform on L^1(R),
Fourier inversion in L^1(R), the Hilbert space L^2(R), the Fourier transform and Fourier inversion in L^2(R).
Prerequisite:
MATH 3001 or instructor consent. A knowledge of the rudiments of complex numbers is also required, although we will review this at the beginning of class.
Course Text:
We will use the text "Fourier Analysis" by Eric Stade, J. Wiley and Sons, 2005, covering the Appendix,
most of Chapter 1, parts of Chapter 2, most of Chapter 3, and parts of Chapters 5 and 6.
Assessment:
Homework will be assigned every week. Some, but not all, of the problems will be graded. Please note that the assigments
for Math 5330 will include extra problems. The assessment of homework performance will count for 20% of the final grade.
Take-home mid-term exam - given out Wednesday, April 2, 2014, 10 a.m., due Wednesday April 9, 2014,
4:30 p.m. (please note that takehome exams will be different for Math 4330 and Math 5530, and students in Math 5330 will also need to do a 15 minure oral presentation): 25 % of final grade.
If you are absent from an exam, or do not hand in the take-home exam on time, without a valid excuse, you will receive a
grade of "F" for that exam. Examples of valid excuse are: documented illness
(doctor's letter required), religious observance, and serious family emergency.
Section 2.7: A solution to the wave equation, illustrating the principle (as reflected by the differential equation (2.149)) that acceleration is proportional to concavity
Section 2.9: D'Alembert's solution the wave equation. We assume the initial velocity g to be zero for simplicity, so that d'Alembert's formula (2.187) reads y(x,t)=(f_odd(x+ct)+f_odd(x-ct))/2. That is, we have the graph of f_odd/2 moving left with velocity c, plus the graph of f_odd/2 moving right with velocity c. To make the interaction of these two waves more apparent, we have dashed them in beyond the actual, physical boundaries x=0 and x=ell of the string itself (which appears as a solid curve) | 677.169 | 1 |
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Read More eigenvalues and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices and quadratic forms. The final chapter deals with applications of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only basic required knowledge for using this book (with the exception of one section on systems of differential equations) is a working knowledge of school geometry, algebra and introductory trigonometry | 677.169 | 1 |
Today, graphing calculators are used in secondary schools as a form of technology in the classroom. Many parents experience sticker shock when they go to purchase this particular school supply. In addition, not all parents can show their student how to operate a graphing calculator. So, let's explore some online resources that can help parents, new teachers, and students.
Most classrooms have a class set of calculators. However, a graphing calculator may be needed at home for math homework. If a graphing calculator is not in the immediate budget, the following Online Calculator may be useful for some assignments. This online graphing calculator gives the user the ability to graph equations, find intersection of equations, trace, plot point, and modify settings. In addition, it allows the user to plot four equations at one time.
*****************
The College of the Red Woods' Math Department has useful
PowerPoint tutorials developed by Kevin Yokoyama's, a fulltime faculty member.
The tutorials start with the basic of turning the calculator on to solving equations to regressions. You'll find a total of thirteen easy to understand presentations. I think these tutorials are more applicable to what is done in the classroom. | 677.169 | 1 |
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THE PROGRAM STUDENTS NEED; THE FOCUS TEACHERS WANT! Glencoe Algebra 2 is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today's high-stakes assessments.
Empower Teachers and Students in the 7th Grade Math Classroom Built around the Common Core Accelerated 7th GradePathway,Glencoe Math Acceleratedsupports eachteacher's unique teaching style and each student's uniquelearning needs like never before. Get your students excitedabout math with this all new program that is interactive,flexible, and highly customizable. Empower Teachers to: Plan Your Waywith preloaded lesson plans,resources, and presentations which can be customizedto match unique teaching styles or add your ownresources for a personal touch Teach Your Waywith interactive whiteboad lessons,games, presentations, and point of use activities that engage students and helps them stay on task Assess Your Waywith choices for diagnostic,formative, and summative assessment available inready-to-use print assessment masters or create yourown tests online with McGraw-Hill's eAssessment tool Empower Students to: Learn Their Wayby establishing strong study andorganizational skills for the transition to algebra andhigh school math with the Interactive Study Guide Learn in Their Worldwith online resources such as engaging apps, animations, games and videos.
This book focuses on 3 critical areas: applying equations in one and two variables;understanding the concept of a function and using functions to describe quantitative relationships; applying the Pythagorean Theorem and the concepts of similarity and congruenceGlencoe MathinteractiveStudent EditionsallowThe Glencoe Math Interactive Student Editions allowNew York is having a summer heat wave and three women are feeling it-and dealing with it-each in their own steamy way. . . . Summer Fever by Donna HillNina Forbes is excited to house sit in the Hamptons-but her handsome neighbor, Barbados native Ian Harrison, excites her even more. Soon the two are sharing conversation, kisses. . . and sizzling sleepovers. Ian promises to keep in touch after he returns home in the fall. But as the days pass, Nina fears their passion was just summer fever. . . One Hot Summer by Niobia BryantAfter a high-profile divorce, event planner Simone "Love" Lovey swears off dating famous people. . . until sexy star athlete Maleek Trenton enters her life. Their romance is bliss, but Love again finds herself amid paparazzi, groupies-and calls from a woman who claims she's involved with Maleek, and has intimate details to prove it. . . Too Hot To Handle by Zuri DayChoice McKinley gets stuck in an elevator during a blackout, on the hottest July 4th ever. That she's locked in with gorgeous Trey Scott only adds to the heat. Soon, relief from the high temperature requires clothing removal and sultry kisses. But Trey doesn't know Choice is his boss's off-limits daughter-and Choice doesn't know Trey is a wanted man. All that will come after the doors open to reality. . .
It's All Connected Math Connectsis intended for use in all elementary math classes as a balanced approach to teaching mathematics.Math Connectsis the elementary portion of the vertically aligned PreK to 8Math Connectsprogram from Macmillan/McGraw-Hill and Glencoe. This program is designed to excite your students about learning mathematics while at the same time providing you, the teacher, with all the tools and materials you will need to teach the program. Your students will be motivated as they solve real-world problems such as creatures under the sea; emperors of the ice; and roller coaster physics. A variety of teacher materials are available to meets the needs of all your students, from early finisher to English learner | 677.169 | 1 |
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Videos Will Help Students "Ace" Math
02/01/97
Ace-Math, an award-winning video tutorial series, is suited for students trying to grasp fundamental mathematical concepts, parents who want to help their child with their homework, or people who need to brush up on math skills for a specialized license or test.
There are nine separate series, each with many individual videos: Basic Mathematical Skills, Pre-Algebra, Algebra I, Algebra II, Advanced Algebra, Trigonometry, Calculus, Geometry, and Probability and Statistics. Each series except Algebra I consists of 30-minute videotapes explaining various concepts. Algebra I has 16 hour-long videos.
For only $29.95, Ace-Math purchasers get a 30-minute tape with the right to make two back-up copies. This lets educators keep the tape in the learning center and let students check out a copy to take home -- with the added security of another back-up copy!
These innovative tapes have been purchased by institutions such as NASA, the U.S. Coast Guard and IBM, and are in use at institutions such as the Los Angeles Public Library and New York Public Library.Video Resources Software, Miami, FL, (888) ACE-MATH | 677.169 | 1 |
meStudying: Algebra 1
Practice your high school Algebra skills on the go! meStudying: Algebra 1 allows you to easily choose a topic and interact with questions on your mobile device. Reinforce the concepts you've learned and be ready for the next test. Whether you want quick practice or a review of more detailed explanations, meStudying: Algebra 1 is here for you when you want it, where you want it. meStudying: Algebra 1 is brought to you by Florida Virtual School, the leader in K-12 virtual | 677.169 | 1 |
Details about Statistics:
For algebra-based Introductory Statistics Courses in Statistics. The Tenth Edition of this best-selling introductory text emphasizes inference and sound decision-making through its extensive coverage of data collection and analysis. Incorporating more pedagogy then ever before, the text helps develop statistical thinking and teaches students to properly assess the credibility of inferences - from the vantage point of both the consumer and the producer. Statistics assumes a mathematical background of basic algebra.
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Rent Statistics 10th edition today, or search our site for other textbooks by James T McClave. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Pearson. | 677.169 | 1 |
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Solutions from Every Perspective: Using Mathematica to Enhance Students' Understanding of Math Concepts
Richard Breheret
One of Richard Breheret's biggest challenges as a high school math teacher is finding a way to help students arrive at answers from different perspectives, whether algebraic or formal, while integrating concepts from primary school to high school. In French. | 677.169 | 1 |
Schaum's Outline of Boolean Algebra and Switching Circuits
Overview This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.
Customer Reviews
Average Rating
3 ratings
4.3
A definite career builder for me
Published by Thriftbooks.com User, 8 years ago
This is one of the elements of the Schaum's set that helped make my career. When I was first starting out as a college instructor, I was a math major but had little experience in computer science. In order to quickly flesh out my skills so that I could teach discrete mathematics, I checked this book out of the library and started working the problems. Although my background in abstract algebra helped in my understanding of the theory, my real goal was to learn the applications to digital circuits. This goal was satisfied, in a short time, I was able to cover digital circuits in the discrete class and a short time later, was able to teach a class in digital logic for computer science majors.
Good book on boolean algebra and logic for more advanced students
Published by Thriftbooks.com User, 9 years ago
This book is devoted to two separate and related topics: the theory of Boolean algebra and logic and also the synthesis and simplification of switching and logic circuits. This is a good book for students taking a course on digital logic that has more of a computer science or mathematics perspective rather than an electrical engineering viewpoint. There is no mention of gates or digital circuit building blocks of any kind in this outline. The treatment of switching and logic circuits is limited to the combinational circuits - those circuits whose outputs depend only on the present inputs. Chapter 1 goes over the basics of boolean logic and the notation used in this outline. Chapter 2 discusses sets and their operations and extends boolean logic to sets of objects. Chapter 3 discusses Boolean algebra, which is a set B together with two binary operations, a singular operation, the two specific elements 0 and 1, and a set of axioms. Thus, in this chapter we are led more into the realm of mathematics than circuits with a good number of proofs as exercises. Chapter 4 abruptly changes course and discusses switching and logic circuits. Here, previous discussions of Boolean logic lead to the practical tasks of minimization and the finding of all prime implicants of a set. The final chapter changes course once again and discusses some advanced topics in Boolean algebra such as lattices, rings, and m-completeness. Although no specific previous knowledge is really explicitly required to understand this material, I would say that working through the material I found that experience with mathematical proofs, set theory, and oddly enough, abstract algebra were all very advantageous in understanding this outline. It is one of the better written Schaum's outline in that the theory is very well explained. I would recommend it for the more mathematically inclined who are interested in digital logic.
digital designers can find useful problems
Published by Thriftbooks.com User, 11 years ago
For those of you inclined to the theoretical aspects of computing, this book may be good revision. The first half of the book deals with set theory and then with Boolean algebra. The Boolean concepts should be easy to follow, and likewise with the problems presented to you here. What is more challenging is the second half, dealing with switching circuits. You can see techniques that map from a logic circuit to its Boolean representation. And then the vital idea of a Karnaugh map, in order to simplify that representation. Digital circuit designers live for this stuff! Many problems to chew on. See how well you really understand the material. You might look with askance on the publication date of 1970. 1970?! Moore had barely formulated his law a few years earlier. And Medium Scale Integration was the order of the day, perhaps, with the first microprocessor still under design. But the maths in this book still holds true now. In fact, it is even more relevant today. Because the circuits are orders of magnitude larger, so finding efficient means of circuit minimisation are more urgent. For that, you need a solid theoretical basis. And this book can test that understanding | 677.169 | 1 |
Introductory Algebra Through Applications
The Akst/Bragg series' success is built around clear and concise writing, a side-by-side "teach by example" approach, and integrated applications ...Show synopsisThe Akst/Bragg series' success is built around clear and concise writing, a side-by-side "teach by example" approach, and integrated applications throughout that help students achieve a conceptual understanding. The user-friendly design offers a distinctive side-by-side format that pairs examples and their solutions with corresponding practice exercises. Students understand from the very beginning that doing math is an essential part of learning it. Motivational, real-world applications demonstrate how integral mathematical understanding is to a variety of disciplines, careers, and everyday situations | 677.169 | 1 |
Details about Schaum's Outline of Review of Elementary Mathematics:
Fundamentals of Arithmetic: Number. Fundamentals of Arithmetic and Introduction to Calculators. Fractions. Decimals. Percents. Signed Numbers. Fundamentals of Algebra: Laws and Operations. Fundamentals of Algebra: Equations and Formulas. Ratios, Proportions, and Rates. Fundamentals of Geometry.
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Rent Schaum's Outline of Review of Elementary Mathematics 2nd edition today, or search our site for other textbooks by Barnett Rich. Every textbook comes with a 21-day "Any Reason" guarantee. Published by McGraw-Hill. | 677.169 | 1 |
Exponents, logarithms, roots, and radicals are introduced, along with the new concepts of infinite sequences and series. Equations and inequalities with absolute value-terms, imaginary numbers, and logarithms are often confusing for many students and require careful explanations and examples. The subject of calculus covers a lot of material and usually requires multiple semesters | 677.169 | 1 |
$99 self-contained text concentrates on the perspective of analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author describes, in detail, many interesting examples, including formulas which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups.
Self-contained and elementary presentation of Lie group theory, concentrating on analysis on Lie groups
Numerous applications to classical harmonic analysis, useful for the study of the theory of random matrices
Many exercises and worked examples mean this is ideal for a graduate course on analysis on Lie groups
Reviews & endorsements
"The main themes are carefully explained and illustrated by well-chosen examples. He succeeds in putting a remarkable wealth of material into a 300-page book which will certainly serve as a basis for many courses on the subject."
Joachim Hilgert, Mathemat | 677.169 | 1 |
Mathematics for Intermediate & Middle School Students preparing for the GCSE examination
$125
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If you are still unsure how you can learn online or you can't find an online course of your choice, write to us at courses@wiziq.com and we would have a student counselor work with you directly to help you achieve your learning goals. | 677.169 | 1 |
Sequences:
Arithmetic and Geometric
by
Angie Head
In this essay, I am going to investigate different arithmetic and geometric
sequences using Excel. Students are introduced to various arithmetic and
geometric sequences in high school. This essay is designed to help students
develop a better understanding of these sequences by investigating and interpreting
various kinds of graphs.
Before I begin my investigations of sequences, I want to give a few definitions
so that we will all be starting from the same point. A sequence is defined
as a function, an, having a domain the set of natural numbers and the elements
that are in the range of the sequence are called the terms, a1, a2, a3,....,
of the sequence. All the elements of a sequence are ordered. There are
two kinds of sequences, finite and infinite. A finite sequence is when
the domain is the set {1,2,3,...,n} and an infinite sequence is a sequence
whose domain is the set of all natural numbers. An arithmetic sequence
is a sequence in which each term after the first term is obtained by adding
a fixed number, the common difference, to the previous term. A geometric
sequence is a sequence in which each term after the first term is obtained
by multiplying the preceding term by a constant nonzero real number, called
the common ratio.
Some examples of arithmetic sequences
The following is an example of the arithmetic sequence 4n and variations
of this sequence.
If we look at the graphs of these sequences, we notice that they are
all linear. The black line is the graph of 4n+5. The blue line is the
graph of 4n. The green line is the graph of 4n-2 and the red line is the
graph of 4n-19.
Do all arithmetic sequences have linear graphs? Let's examine another
arithmetic sequence to see if its graph is linear. We are going to examine
the sequence 1/2n and variations of this sequence. Examine the following
spreadsheet.
From examining the spreadsheet and from our knowledge of functions and
graphs, these sequences appear to have linear graphs also. Let's graph
them to find out.
Our hunch was right. These sequences have linear graphs. The red line
is the graph of 1/2n+3/4. The blue line is the graph of 1/2n. The yellow
line is the graph of 1/2n-1/4. The purple line is the graph of 1/2n-4/5.
What can you conclude about arithmetic sequences? Are they all linear?
How are these sequences related to other functions?
Examples of Geometric Sequences
The following geometric sequences are 2^n and variations on this sequence.
Now, graph these sequences to determine their shape.
From observing the above graphs, the shape of these geometric sequences
are exponential. Let's do another example. In this example, we are investigating
the sequence of (1/3)^n and variations on it. Look at the following spreadsheet.
Are the graphs of these geometric sequences similar to the graphs of
the above geometric sequences? Let's graph them to see.
The graphs of these sequences have a similar shape to the previous ones.
But unlike the previous ones, these graphs are decreasing exponentially;
whereas, the previous ones were increasing exponentially. Will all geometric
sequences be exponential? How are these sequences related to other functions?
Hopefully, by studying the graphs of different sequences, students will
obtain a better understanding of sequences and how they are related to other
functions. | 677.169 | 1 |
Introduction to Matlab 7 for Engineers
Introduction to MATLAB 6 for Engineers with 6.5 Update with Additional Topics in Animation, Graphics, and Simulink
Introduction To Matlab 7 For Engineers
Introduction to Matlab 6 for Engineers with 6.5 Update
Introduction to Matlab 6 for Engineers
Summary
Introduction to MATLAB for Engineersis a simple, concise book designed to be useful for beginners and to be kept as a reference. MATLAB is a globally available standard computational tool for engineers and scientists. The terminology, syntax, and the use of the programming language are well defined, and the organization of the material makes it easy to locate information and navigate through the textbook. The text covers all the major capabilities of MATLAB that are useful for beginning students. | 677.169 | 1 |
Online Testing and Assessment Software for STEM Courses
Maple T.A. is a powerful online testing and assessment system designed especially for courses involving mathematics. Its unparalleled abilities allow instructors to truly assess student understanding of math-based concepts, making it ideal for science, technology, engineering, and mathematics (STEM) courses.
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Science, technology, engineering, and mathematics (STEM) courses have their own requirements when it comes to automated assessment, and Maple T.A. was designed specifically to meet those needs. Offering standard math notation, sophisticated plotting, free-response math questions, intelligent grading of responses, and more, Maple T.A. provides everything you need to take full advantage of automated assessment in your math-based courses.
Maple T.A. can be integrated into your existing course infrastructure and accessed from any web-enabled device, so you can offer a natural, seamless experience for your students. Maple T.A. is compatible with virtually any course management or learning management system, including Blackboard®, Canvas, Moodle™, Brightspace™, and more.
Maple T.A. is the system of choice for those who want full control over their testing content. Whether you want to customize some of the tens of thousands of freely available questions or create your own, Maple T.A. provides the most comprehensive, easiest-to-use authoring tools available for STEM-based content.
Designed for Math-Based Assessment
Intelligent grading of mathematical responses, just like you would do yourself
Respects mathematical equivalence, when appropriate. For example, if the correct answer is , Maple T.A. will also accept , and if the answer is , Maple T.A. will also accept .
Handles questions with infinitely many correct answers, such as "Give an example of a function that has a maximum at x = 0," "List three composite numbers that have no factors in common," or "Give an example of an invertible matrix."
Sophisticated visualization tools
Access to the mathematical power of Maple, supporting virtually any area of mathematics
Tens of thousands of questions are available for you to use and customize within your Maple T.A. implementation. Content is available within the Maple T.A. Cloud for subjects such as calculus, precalculus, algebra, differential equations, linear algebra, physics, chemistry, engineering, statistics and economics. In addition, Maplesoft offers pre-packaged sets of question content that has been developed in partnership with prestigious organizations and school systems | 677.169 | 1 |
1. Introduction--an Essay
Mathematical Reasoning Deciding What to Assume What Is Needed to Do Mathematics? Chapter Zero
Table of Contents
1. Introduction--an Essay
Mathematical Reasoning Deciding What to Assume What Is Needed to Do Mathematics? Chapter Zero | 677.169 | 1 |
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