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Reading, Writing, and Proving: A Closer Look at Mathematics (Undergraduate Texts in Mathematics)
Author:Ulrich Daepp - Pamela Gorkin
ISBN 13:9780387008349
ISBN 10:387008349
Edition:1
Publisher:Springer
Publication Date:2003-08-07
Format:Hardcover
Pages:408
List Price:$69.95
 
 
This book, which is based on Polya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics. It ends by providing projects for independent study.
Students will follow Polya's four-step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them. Special emphasis is placed on reading carefully and writing well. The authors have included a wide variety of examples, exercises with solutions, problems, and over 40 illustrations, chosen to emphasize these goals. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis. | 677.169 | 1 |
Simple Scientific Calculator
This calculator has a lot of features beyond the normal calculator, including some scientific applications.
It's best used by people who already understand the terms, as it can't all be explained here. Enjoy! | 677.169 | 1 |
The place of the Mathematics Standard Stage 6 Syllabus in the K–12 curriculum
Building on Mathematics Learning in Stage 5
The outcomes and content in the Stage 6 Mathematics Standard syllabus are written with the assumption that students studying this course will have engaged with all substrands of Stage 5.1 and with the following substrands of Stage 5.2 - Financial mathematics, Linear relationships, Non-linear relationships, Area and surface area, Volume, Right-angled triangles (Trigonometry) and Single variable data analysis and at least some of the content from the following 5.2 substrands – Equations and Probability. Consequently, content in the NSW Mathematics K–10 Syllabus up to and including this level is also implicit in this syllabus. In a number of cases where content from Stage 5 is included it is in the context of review for clarity and completeness. Schools have the opportunity to review other areas of Stage 5 content as appropriate to meet the needs of students. | 677.169 | 1 |
It uses the schema as a tool, helping the student to elaborate on and translate the information from the word problem into a semantic representation, to plan ways to represent the problem in mathematical notation, and to solve the problem (Montague & Jitendra, 2012).
One of the central achievements of Colyvan's textbook is the way it seamlessly weaves together introductory material on the debate over mathematical realism with state of the art research on mathematical explanation, the applicability of mathematics in science and mathematical notation.
Going through Principia chapter by chapter, he places Newton's writings in their historical context as well as "translating" the book into modern English language and mathematical notation, explicating specific passages, showing derivations of the important equations in exquisite detail and maintaining a level of both entertainment and accessibility as well as mathematical and scientific rigor throughout.
The company's MathType, MathFlow and MathPlayer products are used by scientists, engineers, educators, students, and publishing professionals, for authoring and publishing mathematical notation in print and online content.
In the case of Smith and Schumacher, it is intuitive that students' mathematical knowledge has a positive effect on their academic success in actuarial science, in which concepts are expressed using mathematical notation.
They include the complete passages of Cardano's classical references, modern mathematical notation, references to contemporary texts and authors who address topics similar to that of the passage in question, biographical discussions, and similar material designed to offer a range of contexts for Cardano's text: they constitute something of a commentary on the whole.
A wide survey of the different gas turbine cycles used for power generation, and their relative advantages and disadvantages, are discussed at length with graphs, black-and-white diagrams, and extensive mathematical notation, including calculus equations | 677.169 | 1 |
Grade 8A
Homework and Exam Calendar
8.3 Linear Relationships In this unit, students learn to understand and use the terms "rate of change," "linear relationship," and "vertical intercept." They deepen their understanding of slope, and they learn to recognize connections among rate of change, slope, and constant of proportionality, and between linear and proportional relationships. They learn to understand that lines with the same slope are translations of each other. They represent linear relationships with tables, equations, and graphs that include lines with negative slopes or vertical intercepts, and horizontal and vertical lines. They learn to use the term "solution of an equation" when working with one or two linear equations in two variables, and learn to understand the graph of a linear equation as the set of its solutions. Students use these terms and representations in reasoning about situations involving one or two constant rates.
8.4 Linear Equations and Linear Systems - CURRENT UNIT In this unit, students write and solve linear equations in one variable. These include equations in which the variable occurs on both sides of the equal sign, and equations with no solutions, exactly one solution, and infinitely many solutions. They learn that any one such equation is false, true for one value of the variable, or true for all values of the variable. They interpret solutions in the contexts from which the equations arose. Students write and solve systems of linear equations in two variables and interpret the solutions in the contexts from which the equations arose. They learn what is meant by a solution for a system of equations, namely that a solution of the system is a solution for each equation in the system. Students use the understanding that each pair of values that make an equation true are coordinates of a point on the graph of the equation and conversely that the coordinates of each point on the graph of an equation make the equation true. Thus, a pair of values that satisfies a system of equations are coordinates of a point that lies on the graphs of all the equations in the system, and, conversely, a point that lies on the graphs of all the equations in the system has coordinates that satisfy all the equations in the system. Students learn to understand and use the terms "system of equations," "solution for the system of equations," "zero solutions," "no solution," "one solution," and "infinitely many solutions."
8.5 Functions and Volume In this unit, students are introduced to the concept of a function. They learn to understand and use the terms "input," "output," and "function," e.g., "temperature is a function of time." They describe functions as increasing or decreasing between specific numerical inputs, and they consider the inputs of a function to be values of its independent variable and its outputs to be values of its dependent variable. (The terms "Independent variable" and "dependent variable" were introduced in grade 6.) They use tables, equations, and graphs to represent functions, and describe information presented in tables, equations, or graphs in terms of functions. In working with linear functions, students coordinate and synthesize their understanding of "constant of proportionality" (which was introduced in grade 7), "rate of change" and "slope" (which were introduced earlier in grade 8), and increasing and decreasing. Students perceive similarities in structure between pairs of known and new volume formulas: for a rectangular prism and a cylinder; and for a cylinder and a cone. Students rearrange these formulas to show functional relationships and use them to reason about how the volume of a figure changes as another measurement changes, e.g., the height of a cylinder is proportional to its volume; if the radius of a cylinder triples, its volume becomes nine times larger. | 677.169 | 1 |
MATH105 Selected Topics in Mathematics Homepage, Spring 2007
The nature and process of mathematical thinking (inductive, deductive, and algorithmic), as well as applications and results, are the underlying components of this course. Possible topics to be explored include sets, logic, number theory, geometry, graph theory and probability. A selection of three or more such topics will be offered. Satisfies the Foundations of Mathematical Reasoning core requirement (CMAR).
This particular section of MATH105 focuses on the use of
mathematical reasoning to accomplish tasks and make decisions. The
topics chosen are measurement, modeling, and polynomials. These will
be studied from the perspective of hands-on group projects. Regular
attendance in this class is essential to student success. | 677.169 | 1 |
Introductory Algebra For College Students 6th Edition - lkot.herokuapp.com
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GraphSight Junior1.0
Publisher Description
GraphSight Junior is an easy to use freeware handy 2D math-graphing program. It was originally designed to help students and teachers satisfy their day-after-day math plotting needs. It makes it easy to plot and explore common Y(X) = F(X) Cartesian graphs, set text labels on the coordinate plane, zoom or shift a graph with just a single click & move of mouse. The resulting picture can be than exported to a file or windows clipboard as a bitmap.
Originally GraphSight has come as a realization of the idea "A graph does not have to be dead!". This is gained through the interactivity of every graph on a coordinate plane. All of them react to mouse or keyboard input, each of them have its own shortcut menu, remembers all the formulas you enter for it, can be displayed using different styles, colors and sizes and much more.
GraphSight Junior is a free software application from the Other subcategory, part of the Education category.
The app is currently available in English and it was last updated on 2002-11-18. The program can be installed on Win98, WinME, WinXP, WinNT 3.x, WinNT 4.x, Windows2000.
GraphSight Junior (version 1.0) has a file size of 403.27 KB and403.27 KB
Total downloads
227
Pricing
License model
Free
Price
N/A
Version History
Here you can find the changelog of GraphSight Junior since it was posted on our website on 2015-04-25.
The latest version is 1.0 and it was updated on soft112.com on 2017-07-01.
See below the changes in each version: | 677.169 | 1 |
MS COURSES
This is a 3 credit hours course designed for a graduate degree in Mathematics. This course starts with the basic concepts of set theory and then gradually builds up preliminary concepts of real analysis such as real number system, sequence of real numbers, open sets and closed sets. Once foundation is laid down we discuss Riemann integration, measurable sets, outer measure, measurable functions, Lebesgue measure and Lebesgue integral. This course has some additional things that are very unlikely to a standard course in Advanced Real Analysis that along with Riemann Integration we also introduce Lebesgue Integration without going into formal theory of measure spaces. The course has been divided into four parts. First module is all about set theory and introductory real analysis. In the second, module we discuss Riemann theory of integration and also talk about Lebesgue integration. Third module is mainly about convergence in measure. Fourth module is actually some topics from functional analysis that will prepare students for the next course in this series, Measure and Integration Theory, in which a thorough treatment of measure spaces is given. We presuppose that student has good foundation of an undergraduate real analysis before taking this course. This course aims to be more dynamic and problems solving oriented than just proving theorems and asking students to reproduce them in the exams.
This is a 3 credit hours course on Measure Theory designed for advanced graduate students of PhD Mathematics. Here we treat measure theory in the abstract and rigorous way. In addition, some topics from Functional Analysis have also been added in order to understand measure theory in its real spirit. Course has been divided into four modules. In the first module, mainly we define measure as a set valued function and discuss the properties of measure and Lebesgue measure in abstract setting. In the second module we define measure on sigma algebra, drive outer measure from the measure and define measurable sets. Third model defines mappings on the measure spaces. Fourth module is about defining measure on a class of locally compact Hausdorff Spaces.
MTS513 Topics in Algebra
Algebra is the language of modern mathematics. This course introduces students to algebra through a study of group and ring theories. Group theory studies the algebraic structures known as groups. Groups recur throughout mathematics, and the methods of group theory have strongly influenced other disciplines, both inside and outside mathematics, such as geometry, number theory, cryptography, chemistry and physics. Ring theory is also an important area of abstract algebra. Itis the study of rings which is an algebraic structure in which addition and multiplication are defined and have similar properties to those of integers. The aim of this course is to introduce the students to some of the basic ideas and results of group and ring theories through case studies.
In this course, the object of study is predominantly a commutative ring, hence the title commutative algebra. We introduce theory of commutative rings along with modules on them as our main tool of representation in studying such rings. We also introduce the basic homological characterization of modules with the help of exact sequences that has many applications both in Algebra, Topology and Geometry in general, at an advanced level. Fractions and localizations are introduced with the intention of application-besides algebra- both in geometry and analysis where they arise naturally as germs of functions locally determining both the geometry and analysis, of which meromorphic functions on Riemann Surfaces is just a special case. The idea of Neothriannes is very important in obtaining strong results that has application in many branches of mathematics along with Hilbert basis theorem.
This is a 3 credit hours course designed for a graduate degree in Mathematics. This course is basically Numerical Functional Analysis that deals with both theoretical and numerical issues of partial differential equations such as condition number, perturbation, spectral theory and also thorough treatment of some of the advanced methods for linear and non-linear systems.
This course introduces topology at graduate level covering both general and algebraic aspects. Starting from basic point set topology, one of the goal is to prepare students attending the course for applications in mathematical analysis besides topology itself at advanced level. On the other hand algebraic topology is introduced to help develop necessary tools for calculations involving invariants, and develop necessary background in dealing classification issues up to an equivalence.
This course is aimed at developing PDE based problem solving skills. The course takes on from a fairly basic level such as problem discretization, and carries on to a relatively advanced stage, such as developing and trying novel preconditioners for a discrete linear system. Successful students are expected to be fully capable of actually using computers to solve a wide variety of applied problems.
This course is a successor to Stochastic Processes I and requires participants to understand the basic stochastic processes, and probability space laws. From this stage it builds up the more involved concepts of Martingales and uses various examples to motivate the study. Models from Finance are also discussed to motivate continuous time Markov models. Successful students are expected to understand continuous and discrete processes and to be able to successfully apply this knowledge to solve applied problems.
This course is aimed at providing students the background that they will require for stochastic analysis of financial derivatives, and developing exotic contingent claims later on. The same comprehension skills for stochastic processes and equations is expected of successful students.
This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.
The purpose of this course is to provide the students with fundamental knowledge of the mathematical tools used in exploring positional astronomy. Starting with the basics of spherical trigonometry it describes the various terrestrial and celestial coordinate systems and coordinates transformations. It also addresses the issues related to time that are fundamental to astronomy and astrophysics. This course also explores the basic issues in celestial dynamics starting with Kepler's Planetary laws and the Kepler's equation.
The approach we intend to follow in this course is one that can be considered as a special case of taking Homological Algebra as a theory of function of two variables, one abelian and the other non-abelian. This is in spirit of axiomatic (Co)homology theory of Eilenberg-Steenrod, which have had its roots in (Co)homology theories of topological spaces. The other approach comes from Grothendieck which modifies it to convert into the theory of a single abelian variable, leading to algebraic geometry in its range of applications-the line which we find beyond the scope of this course. The student is assumed to have background in algebra, specially in the class of rings and modules determined by various finite and stationary conditions, and exact sequences. However, the details can be filled in whenever necessary. It is in this background we introduce very basic homological machinery that could be dealt justly in 1-semester graduate course. Thus it is expected that after completing this course, the student will be able to use it in algebraic topology and will be able to pursue his study further into (Co)homology theories of Groups, Lie Algebras and Associative Algebras.
The main focus in this course is the computational aspects of algebraic geometry, hence the title. Since many major calculations in algebraic geometry, involve only calculating in the corresponding affine neighborhoods, we thus develop the main tools accordingly, hence major relevant ideas are all developed from scratch in this respect in context of affine algebraic geometry. The first step towards this goal is Hilbert's Nullstellensatz which we introduce to establishes the theoretical dictionary needed to transfer the computations from pure algebra into geometry. In order to extend or enlarge the applications to geometry from smooth to mildly non-smooth cases, we introduce normalizations. This also helps extending the theoretical dictionary further when applied to non-singular models of affine curves. Projective setting is introduced to extend the span of the local scope of affine geometry and exemplify the local nature of affinness in the course's computational aspects.
In this course, we intend to establish the transition from vector calculus in R^n to the more general setting, that of manifold, and show that the former is just a special case of the latter via the fact that every manifold offers a calculus intrinsic to its own isomorphism class in the corresponding category. This also helps us establish a deep and rich interplay b/w topology and analysis, especially when we do integration on manifolds.
In this course, the primary object of study is the classical algebraic variety (or a pre-variety as in EGA) with affine varieties serving as its local model. Throughout the course, everything is modeled on an algebraically closed field; however, one can extend most of the arguments to the fields of characteristic zero. We introduce the concept of a rational map giving rise to birational geometry along with resolution of singularities, very powerful aspects of algebraic geometry. It also aims at appreciation and application of the Riemann-Roch theorem, one of the most important results of algebraic geometry. For this course, the basic background in commutative algebra is assumed. However, to handle all algebraic instruments necessary for both, local and global analysis of varieties, required details can always be filled in whenever necessary. Some intersection theory is included, in both affine and projective cases, to help student develop an appreciation for the advanced topics in the context of applications.
This course provides rigorous introduction to the most important objects and concepts of algebraic geometry and number theory. At the end of this course students will be familiar with the concept of schemes and able to define higher chow groups.
This is an introductory course on Diophantine geometry that deals Fermat's equations as well as Diophantine equations and inequalities. At the end of this course students will be familiar with L-functions and zeta-functions.
Analysis of scientific data and experiments: Design of experiments and ethical research. Data modeling management, Exploratory data analysis, Randomness and probability, Statistical analysis including linear regression, analysis of variance, logistic regression, categorical data analysis and non-parametric methods.The aim of this course is to provide an understanding of the nature of scientific data and the subsequent need for statistical analysis. You will develop your statistical expertise and critical judgment in scientific studies, including an awareness of ethical issues in research and analysis. You will learn about the different types of data and how each can be visualized and summarized, and how you can make conclusions and predictions from the statistical analysis. You will also see that these statistical tools are based on simple mathematical ideas and associated assumptions for decision support systems, image and speech analysis, health informatics in decision support systems, image and speech analysis, health informatics.
This course gives a detailed introduction to Galois theory that starts from review of group action on a set and Sylow theorem with its application. Here students will understand the concept of field extension and Galois groups. Students will also study separable and inseparable extensions.
PhD COURSES
This course is intended to be an introduction to numerical methods for hyperbolic partial differential equations. These equations require special treatment which do not often form part of standard numerical analysis courses for PDEs. Successful students are expected to be able to solve a wide variety of hyperbolic PDEs numerically.
This course develops concepts of financial mathematics, mainly for pricing financial derivatives. Another aim of the course is to develop and re-visit stochastic calculus concepts applied to options and different exotic contingent claims.
This course aims to develop numerical methods for solving different PDEs related to mathematical finance. Tool-development in Matlab and C also forms a part of this course. Successful students are expected to be comfortable solving different finance problems related to pricing of derivatives.
In this course, we intend to go beyond the study of the fundamental instruments of differential geometry of manifolds and investigate some of the algebraic and topological invariants associated to a manifold, along with some algebraic techniques which are useful in handling modern research tools. We introduce theory of Lie groups and Lie algebras which have applications in theoretical physics where they naturally arise in solving problems, for instance, by translating inherent symmetries via transformation groups. After completing this course the student will be expected to use the techniques learned in theoretical physics, or pursue his studies further in differential geometry.
This course is the core of modern algebraic geometry as pioneered by Grothendieck and his "French-School". In this course we have just touched the basic ideas that form the basic language of modern algebraic geometry, the language of sheaves and schemes. Even though, it is considerably difficult to adopt a main line towards a significant goal from just a scratch, but we still hope that with the very basics of cohomological machinery and basic ingredients of intersection theory along with big results of Hirzebruch-Riemann-Roch and Hodge-Index-Theorem, that we have introduced by the end of semester, will help and prepare student with some advanced topics in intersection theory, specially in case of low dimensional algebraic geometry, where he should find himself prepared, to some extent, for handling intersection form determining intersection theory on complex algebraic surfaces. Also, equipped with the basic technical language of schemes, a student is expected to be prepared to venture into the geometric invariant theory pioneered by Mumford and Deligne, very important tool in moduli theory. On the other hand, a comprehensive introduction to sheave theory is developed to help student learn the basic tools required, with a view towards application in classification accounts in Algebraic Geometry, in context of Moduli Theory of sheaves on schemes.
This course can also be studies after algebraic cycles I as well. Students will be familiar with polylogs, infinitesimal and tangential versions of polylogs and their relations with the groups generated by geometric configurations.
Multivariate analysis arises with observations of more than one variable when there is some probabilistic linkage between the variables. In practice, most data collected by researchers in virtually all disciplines are multivariate in nature. In some cases, it might make sense to isolate each variable and study it separately. In most cases, however, the variables are interrelated in such a way that analyzing the variables in isolation may result in failure to uncover critical patterns in the data. Multivariate data analysis consists of methods that can be used to study several variables at the same time so that the full structure of the data can be observed and key properties can be identified. This course covers estimation, hypothesis tests, and distributions for multivariate mean vectors and covariance matrices. We also cover popular multivariate data analysis methods including multivariate data visualization, maximum likelihood, principal components analysis, multiple comparisons tests, multidimensional scaling, cluster analysis, discriminant analysis and multivariate analysis of variance, multiple regression and canonical correlation, and analysis of repeated measures data. Coursework will include computer assignments.
Monomial ideals are ideals in polynomial rings that can be described in combinatorial and geometric terms. These descriptions make monomial ideals quite accessible by allowing us to employ intuition and tools from discrete mathematics and geometry to study them. In spite of their simplicity, monomial ideals are powerful tools. For example, in algebraic combinatorics they are used to attach algebraic invariants to finite simple graphs and, more generally, simplicial complexes. These invariants have led to the solutions of several important problems in combinatorics. | 677.169 | 1 |
Distinction in Maths P3
Series:
Distinction Series
Math
Author:
Desmond Peh & Jennifer Boh
ISBN:
978-981-08-5982-4
Level:
Primary 3
Subject:
Math
Availability: In stock
S$7.50
Quick Overview
Unique to this series is the Million Dollar Question segment which has been formulated with reference from past year papers of top schools. Students who are able to complete these kinds of questions with ease will have no problems scoring well. This is because the Million Dollar Questions are the types of examination questions that are typically designed to challenge even the best students. These questions test students' understanding of Mathematical concepts and their ability to flexibly apply these concepts carefully and correctly, in order to obtain elegant and accurate solutions.
Synopsis
Distinction in Mathematics Revision is a series of books aiming to help students not just to pass but to do so with fl ying colours. Written in line with MOE's syllabus, each book comprises seven to ten revision papers specially designed to help students:
• Establish familiarity and ease with the examination format and knowledge of the different types of questions to expect. • Practise essential skills in problem analysis and application of Mathematical concepts. • Acquire strategies to solve more challenging and non-routine examination questions. | 677.169 | 1 |
What is Calculus?
Calculus is a form of mathematical study that deals with limits, integrals, derivatives and infinite series'. It is the next step for anyone who has studied pre-calculus. It takes the properties of algebra and trigonometry one step further and should be considered advanced. It consists of two main branches which can be defined as differential calculus and integral calculus. These are related to the fundamental theorem of calculus.
Applied differential calculus includes complex computations involving velocity and acceleration, optimization and the slope of a curve. Applied integral calculus includes complicated calculations involving area, center of mass, work, volume, length of arc and pressure. Calculus is also used to gain a deeper understanding of the concepts of time, space and motion.
What are the common concepts and terms I'll need to know?
To study this course, you shall be required to be familiar with various mathematical concepts. These include the Cartesian plane and functions, Limits, Differentiation and its applications as well as Integration and its applications and techniques. Knowledge of exponential and logarithmic functions and trigonometric functions is also useful. Many of the used unknown terms include continuum, infinitesimal and distribution theory. These words are all associated with the field and the knowledge of them will help you to better understand the concept.
What are the practical uses of Calculus?
Calculus has many uses in real life scenarios. Any work-related problems that can be solved using a mathematical formula, will be addressed using theories learned in this study. Calculus processes are used in various interesting fields on a regular basis. These fields include physical sciences, computer sciences, economics, business, medical fields and many more. Basically any form of work that deals with numbers, uses this form of mathematics on a regular basis. | 677.169 | 1 |
Showing 1 to 1 of 1
Suzanne Clay
November 5, 2012
Pythagoras
Pythagoras was born in 579 BC and died in 490 BC. He lived near Turkey on an
island called Samos. Other than being a mathematician, Pythagoras was a well-known
philosopher. He believed in reincarnation and founded
College Algebra Advice
Showing 1 to 3 of 6
This course allowed me to learn more advanced algebra than I did in high school to be better prepared for upper level math courses.
Hours per week:
3-5 hours
Advice for students:
Do not get behind, everything builds on each other so if you don't understand something then ask.
Course Term:Fall 2014
Professor:Bobga
Course Required?Yes
Course Tags:Math-heavyGreat Intro to the SubjectMany Small Assignments
Nov 17, 2016
| Would highly recommend.
Not too easy. Not too difficult.
Course Overview:
I would definitely recommend this course. The teacher does well with explaining the problems. I currently am taking this course with a learning support Math 0999 as a co requisite for this class. I really enjoy math so I like this course.
Course highlights:
I have learned multiple things throughout this course. I learned things ranging from factoring to graphing to logarithms. The highlights of this course was refreshing myself on factoring and solving for x.
Hours per week:
3-5 hours
Advice for students:
I would recommend that you take notes for this class. Along with the notes I would make sure that you do the homework assignments. Homework assignments help benefit your learning experience through the repetition. This course the homework is graded and the teacher gives you 5 extra credit points if you turn in the homework on the test day, | 677.169 | 1 |
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Arithmetic Assignment Help In USA, UK & AustraliaThe main areas of arithmetic that require arithmetic assignment help are number line, Binary and non-binary operations, greatest common factor logarithmic functions, exponentiation, different parts of a graph and square roots. You can get a better perception of all these topics with the help of our Arithmetic assignment help. Arithmetic is the basics of algebra and other forms of higher mathematics. Again, various arithmetical process and theorems have immense importance in trade and commerce, as also in day-to-day activities of human beings. Like percent, summation of fractional numbers and decimals etc. Arithmetical systems are also applied in various fields to solve various problems in different situations. While calculating interest in banks, taking lengths of lands, calculating air distance between two objects, calculating taxes etc. arithmetic has immense importance. Arithmetical properties of whole numbers and fractions have immense importance in other types of calculations like in geometry, physics and astronomy.
Elements Of Arithmetic
There are three elements of arithmetic : elementary arithmetic, decimal system and number system.
ELEMENTARY ARITHMETIC - Elementary Arithmetic is the simplified part of arithmetic, it includes the operations of addition, subtraction, multiplication and division. The sequence of calculations is presented by BODMAS. Elementary arithmetic includes negative numbers and fraction that is represented on a number line.
DECIMAL SYSTEM - The decimal number system has its base as ten (10). The Decimal system is used in modern mathematics.
NUMBER SYSTEM - A number system is used for expressing numbers. There are multiple types of numbers, such as real numbers, odd number, even number, prime number, rational number and irrational numbers.
Some Basic Lessons That Every High School Student Learn At Their Schools Are As FollowsSome Basic Arithmetic Operations
The three basic arithmetic operations are:
REDUCTION - Reduction is when a compound quantity is reduced to a single quantity. You can take our arithmetic assignment help to complete your assignment.
EXPANSION - Expansion is the reverse function of reduction, the conversion of quantity as a single unit to a compound unit.
NORMALIZATION - The conversion of set of compound units to a standard form. Get in touch with our Arithmetic assignment help and score grade on your next arithmetic assignment.
How Students Deal With The Lessons Of Arithmetic?
Arithmetic is a pure form of mathematics and as discussed earlier students are given all the basic lessons on arithmetic so that they could deal with other mathematical calculations easily. But, it's a fact that too few students actually show spontaneity in learning arithmetic. Most of the students show mild to severe apathy in getting in-depth knowledge on the subject. In any case, they are bound to learn the subject, because stubbornness in this subject makes them weak in mathematics and various branches of physics in later periods of their careers. Arithmetic Assignment help will clear all the concepts so you can write a good arithmetic assignment. Hence, our arithmetic assignment help is the first step towards your goal.
Why Assignments On Arithmetic Keep Students Nervous?
Students can't hide their nervousness when they get assignments in hand. Assignments on arithmetic are not easy to solve, especially when there are complexities in calculations and more than one method are punched together. For successful completion of assignments in mathematics one needs to show a clear understanding of all the methods and techniques of arithmetic, so as a result student seeks professional arithmetic assignment help because as per the statistics, majority of students perform poorly in the assignments on arithmetic, because their approaches are wrong and their knowledge on the theorems and processes are incomplete.
It is true that their weakness keeps them nervous, but it is also true that with a little bit of arithmetic assignment help they can make a huge difference. Here lies the importance of Need Assignment Help. This is the only organization known to have hired the best arithmetic experts to help students in solving various arithmetical problems often given as assignments. Students learning arithmetic just need to contact Need Assignment help in time, over the telephone or through email, rest of the job of completing assignments are accomplished by the experts in the best possible manner.
What Kinds Of Assignments Are Given On Arithmetic?
Kinds and difficulties in an assignment on arithmetic depend upon the grade of the students. In higher classes mostly complex arithmetical assignments are given, while in the lower classes assignments are mostly given in form of work sheets. Some common forms of arithmetical assignments are simplification of factors, simplification of fractions, deduction of interest, turning fractions into decimal or vice versa, what percent is one number of another, exact and inexact decimals, problems on recurrent decimals, etc.
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Experts associated with Need Assignment help possess years of knowledge in teaching arithmetic and other essential streams of mathematics like algebra and geometry. They can be trusted with any kinds of problems related to arithmetic. An expert in this field studies a problem from different angles. He then applies correct method and theorems whatever needed. He puts all the steps relevant to the assignment. He also completes the solution methodically. Thus, assignments completed by these arithmetic experts are sure to impress the examiner, which is then reflected in the marks and grades given to the students. Need assignment Help has chosen the best arithmetic experts from different parts of the world to provide you a reliable Arithmetic assignment help, over hundreds of such experts are always ready to help the students with any kinds of arithmetic assignment.
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iS-DOS Math
Screenshots
Description
iS-DOS Math is a set of mathematical programs for ZX-Spectrum home computer running iS-DOS operating system. Includes calculator, graph plotter and symbolic formula processor for engineeringyoutube.com/watch?v=zsjTpFR0oYQ
ignore that
this maths shit does it use the 4MHz in the fdd3000?
micro command?
PDS
one processor at a time sweet jeeeez
ftp://ftp.nvg.ntnu.no/pub/sam-coupe/demos/misc/octopuss.zip | 677.169 | 1 |
Links
References
How to Study Math
In this excepted and edited article by Paul Dawkins, you will get some tips and pointers on how to study math.
Practical Mathematics In this nicely written, concise treatment of the topics of this course, you will find this to be a useful and handy resource for study or for review. This was written by Efthimios Kaxiras as a result of his teaching applied mathematics courses to undergrduate students at Harvard University.
Complex Variables
In this set of lecture notes prepared by Stefan Waner from the Department of Mathematcis at Hofstra University for a course in Advanced Mathematics, you may find some useful material related to Complex Variables.
Fourier Series A chapter on Fourier Series from Schaum Outline Series. This is a nice resource for problems with solutions. You may wish to look at this and other books in the Schaum Outline Series for additional resources related to this course. Another good one is the Schaum Outline Series on Complex Variables.
The Fourier Transform and its Applications These lecture notes from Course 261 at Stanford University written and prepared by Professor Brad Osgood provide a nice coverage of the Fourier transform with examples on where it is found in applications.
The Foundations of Probability Theory This is Chapter 1 of a new textbook entitled "From Basic Probability Theory to Discrete Random Processes." This chapter will serve as an introduction to the foundations of probability theory, sample spaces, events, and the fundamental axioms of probability.
Conditional Probability and Independence This is the second chapter from the new textbook "From Basic Probability Theory to Discrete Random Processes." In this chapter, you will learn about the very important concept of conditional probability and see how it is used in some practical applications. Also, a formal definition of what it means for collections of events to be independent is given. | 677.169 | 1 |
Advanced geometry workbook is thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.Milliken & Lorenz Educational Press "Advanced Geometry" Workbook is ideal for ages 9 - 12 and grades 7th - 10th. Workbook helps students to grasp geometry easily and form a solid foundation for advanced learning in mathematics.
Age group and grade: Ages 9 - 12 and grades 7th - 10th
Subject: Geometry
Usage ideas: All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics, each page introduces a new concept
Author: Janice Wendling
Each page introduces a new concept and a puzzle or riddle that reveals a fun fact
Theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice
Thought provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry | 677.169 | 1 |
Mathematics
Category: Mathematics Description: From the heroic to the hopeless and William the Conqueror to the present day, this lively survey of the 40 kings and queens of England is wonderfully informative and highly entertaining. Written by Andrew Gimson and illustrated by Martin Rowson, the book tells the unbelievable but true story of the monarchs. It's a tale of courage and conquest, madness and magnificence, and breakdowns and nobility. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Andrew Gimson Review this product
Category: Mathematics Description: P Delivery time: 3 - 5 working days Delivery cost: 2.95 Review this product
Category: Mathematics Description: Did you know you have no muscles in your fingers, that coffee isn't made of beans, or that oranges aren't orange? A brilliant set of three collections of the most common misconceptions, mistakes and misunderstandings in 'common knowledge' from the team at BBC's QI, these books will ensure that you not only impress your friends, but win every argument you ever have. Based on the show's most popular segment, General Ignorance, the books in the collection cover a wealth of topics from history, sport, science, geography and more - and it even includes a book dedicated to the most fabulous falsities and fascinating facts from the animal kingdom. Sure to delight fans of the much-loved show, owning this collection of QI books is just like having a quick-reference Stephen Fry on your bookshelf. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: John Lloyd & John Mitchinson Review this product
Category: Mathematics Description: If memories of learning algebra bring you out in a cold sweat and thoughts of quadratic equations cause you feelings of fear and dread, I Used to Know That: Maths can help. A light-hearted and informative reminder of the things that we learnt in school but have since become relegated to the backs of our minds, this book will help you to brush up on your mental arithmetic, including percentages, averages and recurring decimals or work on your trigonometry skills, from Pythagoras' theorem to triangle areas and angles. A practical guide to turn to when an answer is eluding you, from helping a child with homework to calculating change or understanding statistics. I Used to Know That: Maths is a fun and accessible way to re-visit all those useful tips and maths tricks that you have forgotten from your school days. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Chris Waring Review this product
Category: Mathematics Description: This book contains a huge range of Verbal Reasoning practice questions (with detailed answers) for children aged 10 to 11 - ideal for building up the skills they'll need for the 11 Plus Maths Non- Verbal Reasoning Designed to support preparation for the new CEM 11 Plus tests, this book will improve performance by providing invaluable practice in two key areas: * the knowledge and skills gap between the 11 plus tests and the national curriculum * the question types that pupils taking the 11+ tests frequently struggle with. Bridges the gap between the national curriculum and the 11 Plus tests. * Contains 24 short tests covering numerical, verbal and non-verbal reasoning. * Addresses the variety of question types that pupils can often find challenging across all areas of the exam. * Pupils can focus on one particular skill at a time. * Each test highlights the question type being covered so strengths and weaknesses can be identified. * Includes a complete set of answers with explanations, notes for parents and a score sheet to track scores over multiple attempts. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Philip McMahon Review this product
Category: Mathematics Description: Bestselling author Christopher Winn takes us on a captivating journey around London to discover the unknown tales of our capital's history. Travelling through the villages and districts that make up the world's most dynamic metropolis I Never Knew That About London unearths the hidden gems of legends, firsts, inventions, adventures and birthplaces that shape the city's compelling, and at times, turbulent past. See the Brentford river views that inspired Turner to become an artist and find out where London's first nude statue is. Explore the oldest and largest tidal mill in Britain and unearth the original Big Brother house in Bromley. Spy out the village that gave its name to a car and the Russian word for railway station. Discover which church steeple gave us the design of the traditional wedding cake, where the sandwich was invented and where in Bond Street you can see London's oldest artefact. Visit the tombs of Karl Marx, John Constable and Isambard Kingdom Brunel. Climb the famous 39 steps, go from East to West and back again at Greenwich and fly the world's biggest big wheel. Brimming with stories and snippets providing a spellbinding insight into what has shaped our capital, this beautifully illustrated gem of a book is guaranteed to inform and amuse in equal measure. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Christopher Winn Review this product
Category: Mathematics Description: Four Alison Primrose Review this product
Category: Mathematics Description: Two complete Built on the strengths of Collins best-selling Maths Dictionary by Kay Gardner, Collins Maths Dictionary is packed with the vocabulary definitions recommended for Years 3 to 6. * Contains over 375 entries following the yearly vocabulary recommended for Years 3 to 6 and beyond * Headwords, guidewords and a thumb index follow important dictionary conventions and support independent use * Includes introductory sections for teachers, pupils and parents * For ages 7+ Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Kay Gardner Review this product
Category: Mathematics Description: Four Non- Non- Pamela Macey Review this product
Category: Mathematics Description: An authoritative, quirky trivia book divided into themed chapters. Whitaker's Little Book of Knowledge contains thousands of general knowledge gems: from everything you learned at school to fascinating lists of contemporary 'top-tens', mini-biographies of famous artists and writers, plus condensed guides to films and works of art and literature. In addition, there is a light-hearted journey down memory lane featuring humorous entries on forgotten treasures from different decades and a stand-alone sport chapter with guides to both well-known and obscure sports, key rules, a glossary of terms and short biographies of the world's greatest sporting heroes. Facts are both newly researched and drawn from the rich treasure-trove of the Whitaker's Almanack archive, which dates back to 1868. Whitaker's Little Book of Knowledge is a truly unique ready-reference containing fascinating facts for every trivia buff while providing a unique insight into the world from the 19th century through to the present day. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Bloomsbury Publishing PLC Review this product
Category: Mathematics Description: Were your school exercise books adorned with huge ticks, glowing comments and gold stars? Did you win prizes for your awe-inspiring performances on the toughest of tests? Do you still think you know it all? This is your chance to prove it as you work your way through a vast array of general knowledge head scratchers in Think You Know It All? If you reckon you've got what it takes to list the capitals of Europe, name the 52 states of the USA, check off all 38 Shakespeare plays, or recall all the James Bond films (in order), let's find out. With space to scribble, tick and graffiti, as well as an answers section for when you admit defeat, this book will entertain and challenge in equal measure. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Daniel Smith Review this product
Category: Mathematics Description: Two complete This pack contains two sets of realistic 11 Plus practice papers in the style of the CEM ( Durham University) tests - each set contains two tests with mixed questions on Maths, Verbal Reasoning and Non- Verbal Reasoning. A detailed answer book is also included, with full explanations of every answer and useful notes for parents. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: CGP Books Review this product
Category: Mathematics Description: This is the ultimate journey around England. Christopher Winn takes us to each county, to see where history happened, where people and ideas were born, where dreams took flight and where men and women now rest from their labours. To tread in their footsteps, to touch and experience some of what inspired and moved them is to capture some of the flavour of their lives and make their stories alive and real. Crammed with facts and information, I Never Knew That About England celebrates the places and people that make the country unique and includes history, legends, firsts, supremes, unusuals, inventions, birthplaces and gossip. You'll be able to visit the bridge where Pooh and Piglet played Poohsticks and see where Alfred burnt the cakes. In a small village in Bedfordshire you can visit the graveyard where Long John Silver and Wendy rest. These stories will bring any place that you visit to life (keep one copy in the car and one in the house!) and enable you to discover England's rich and surprising history. Delivery time: 3 - 5 working days Delivery cost: 2.95 Author: Christopher Winn Review this product
Category: Mathematics Description: 4 complete sets of tests (8 papers) in the style and format of the new CEM 11 Plus tests, used by selective state schools in England. These papers are intended to provide familiarisation and realistic practice ahead of the tests to build confidence and ensure success. ( Contains all the tests from Book 1 and Book 2 in one great value edition.) All the test from Books 1 and 2 in one great-value edition: * Four complete sets of tests (eight | 677.169 | 1 |
COLLEGE ALGEBRA AND CALCULUS: AN APPLIED APPROACH, Second Edition provides your students a comprehensive resource for their college algebra and applied calculus courses. The mathematical concepts and applications are consistently presented in the same tone and pedagogy to promote confidence and a smooth transition from one course to the next. The consolidation of content for two courses in a single text saves you time in your course--and saves your students the cost of an extra textbookAnne V. Hodgkins,
Phoenix College
Anne Hodgkins received her Ed.D. in higher education from Texas A&M University at Commerce in 1990. She has taught at the secondary, community college and university levels. She currently teaches at Phoenix College in Phoenix, Arizona. She especially enjoys teaching intermediate and college algebra as well as calculus. Her interests include math education and research in mathematics teaching strategies.
New! How Do You See It? exercises ask students to draw conclusions about information presented visually. Requiring little or no calculation, these exercises check students' conceptual understanding of key concepts.
New and Updated! Projects, which appear in selected sections, connect real-life data and applications and give your students the opportunity to generate and analyze mathematical models from large data sets.
New! CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website.
Features
A wide variety of relevant examples--each of which is titled for easy reference--includes solutions presented graphically, analytically, and/or numerically to provide further insight into mathematical concepts. Examples that illustrate real-life situations are identified with an icon.
For instructors who wish to incorporate technology, optional Tech Tutor boxes provide guidance on using technology to ease lengthy calculations, present a graphical solution, or discuss where using technology can lead to misleading or wrong solutions. In addition, exercises requiring technology are identified with a graphing calculator icon.
Every section begins with a list of objectives that highlights the learning outcomes of that section and provides instructors with a tool for lesson planning.
Appearing in the middle of each chapter, Mid-Chapter Quizzes are single-page tests that let students practice skills and concepts learned in the chapter. This opportunity for self-assessment helps uncover potential weaknesses that might require further review of the material.
Revised! Section-ending Business Capsules and accompanying exercises address business situations related to the mathematical concepts covered in the chapter.
Revised! At the beginning of each exercise set, Skills Warm Up exercises give students practice of skills covered in previous sections that are used in the exercise set; answers are provided at the back of the text to reinforce understanding.
Revised! The Exercise Sets have been revised based on actual student usage data to improve student comprehension. More than 7,000 exercises progress from skill-development problems to more challenging, real-world applications--all of which can be customized to the difficulty level of the instructor's choice.
Supplements
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
FOR INSTRUCTORS
Complete Solutions Manual
ISBN: 9781133628439
Student Solutions Manual
ISBN: 9781133108603
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
CourseMate Instant Access
ISBN: 9781133510703
Complement your text and course content with study and practice materials. Cengage Learning's Liberal Arts Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. Liberal Arts Mathematics CourseMate goes beyond the book to deliver what you need! | 677.169 | 1 |
Internationaler Buchtitel. In englischer Sprache. Verlag: MCGRAW HILL BOOK CO, L=261mm, B=224mm, H=32mm, Gew.=1887gr, [GR: 16240 - HC/Mathematik/Arithmetik/Algebra], [SW: - Coursepacks], Gebunden, Klappentext:
Miller/O'Neill Intermediate Algebra is an insightful text written by instructors who have first-hand experience with students of developmental mathematics. The authors introduce functions in Chapter 3 and do a very thorough treatment, devoting the entire chapter to the concept of functions. With such a solid foundation to build from, students will experience greater success when they encounter other function-related topics in later chapters, such as polynomial functions; quadratic functions; radical functions; and others. The authors have crafted the exercise sets with the idea of infusing review. In each set of practice exercises, instructors will find a set of exercises that help students to review concepts previously learned, and in this way, students will retain more of what they have learned. The exercise sets also contain "translation" exercises which provide students with an opportunity to convert from English phrases to mathematical symbols and from mathematical symbols to English phrases, thus helping students to strengthen their command of mathematical language algebra and trigonometry,education and reference,mathematics,science and math,science and math,textbooks Mathematics, McGraw-Hill Science/Engineering/Math
[ED: Hardcover], [PU: MCGRAW HILL BOOK CO],261.6 x 223.5 mmVersandfertig in über 4 Wochen, [SC: 0.00], Neuware, gewerbliches Angebot
Moreover | 677.169 | 1 |
An Introduction To Algebra: With Notes And Observations; Designed For The Use Of Schools And Places…
Paperback | January 10, 2010
Pricing and Purchase Info
$33.50
Earn 168 Introduction To Algebra: With Notes And Observations; Designed For The Use Of Schools And Places…Format:PaperbackDimensions:228 pages, 7.44 × 9.69 × 0.48 inPublished:January 10, 2010Publisher:Nabu PressLanguage:English
The following ISBNs are associated with this title:
ISBN - 10:1141607336
ISBN - 13:9781141607334
Customer Reviews of An Introduction To Algebra: With Notes And Observations; Designed For The Use Of Schools And Places Of Public Education | 677.169 | 1 |
Writing Exponential Functions From Tables Practice
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Students will practice writing exponential functions from a table by finding the initial value and the common ratio. A key is included. There are open ended problems, 2 application multiple choice poblems, and 1 applying knowledge problem. | 677.169 | 1 |
Concept of differential equations, General and particular solution, Separable differential equations of first order, Linear differential equations of first order, Linear differential equations of second order with constant coefficients, Solution of differential equat ions with Laplace - transformation, Numerical solution of differential equations of first order (e.g. Picard iteration method, Taylor expansion)
Functions of Several Variables
Concept, methods of definition and representation of functions of several variable s, Limits and continuity of functions of several variables, Partial and total derivative, Concept of differentiability, Differentiation of composite functions, Directional derivative, Applications of differentiation of functions of several variables (calcu lation of errors, extrema), Definite integral of functions of several variables and its calculation, Application of integration of functions of several variables (volume, surface area, center of gravity)
Syllabus of Laboratory Sessions
Solving problems a ssociated with the aforementioned topics, Using MAPLE computer algebra system for solving problems4
Syllabus
Real -
and Complex Numbers
Set and subsets of real numbers, the axioms of real numbers, the concept of the complex number and its representation on the Gaussian plane, the algebraic, tri gonometric and exponential form of complex numbers, basic operations, roots of complex numbers, roots of unityThe course is an introduction to probability and mathematical statistics, discussion of basic concepts, developing problem - solving skills; it provides an insight into the possibilities of practical application.
Solving different types of problems in probability and statistics in classroom practices, Analyzing real statistical samples with the help of SPSS package, Testing hypotheses with the help of SPSS package
The course introduces the basic principles and main driving forces of informatics, as well as the milestones and trends of the Information Technology Evolution. Detailed explanations of the measuring and representation and transforming of information is pe rsented. As specific examples, the most important data compression and fault tolerant coding methods are explained in depth.
Syllabus
Essentials of Information Technology (IT); IT's Position within the Sciences; Trends in IT
Key concepts, connections, IT evolutions and revolutions, and consequences
Computational Models
The von Neumann computer architecture and its main characteristics, Computer generations (I - IV), the features and, directions of their development, fifth generation program and its lesson s, 7
directions for future development of computers
Information Processing Paradigms
Methods and characteristics of Analog and Digital Computing, Methods of information representation, The necessity and principles of converting signals (analog to digital, di gital to analog): sampling theorem (Nyquist), main concepts, practical implementations
The working fluid. Heat, work and the system. State equations. The First Law. Reversible and irreversible processes. Carnot's cycle, the heat engine and the heat pump. The Second Law. Entropy.
Name of the subject:
Electrical engineering
NEPTUN - Code:
KVEVI1SANC
Subject leader:
Dr. Kálmán Pápay
Title:
ass. prof.
ass. prof.
Course description:
In the framework of this subject the students are presented the basic elements of the electrical circuits. Structure and characteristics of the active and passive circuit elements, semiconductors. The basic laws, relations of electrical engineering. Semico nductor's techniques: diode, transistors, DIAC, TRIAC. Rectifiers: 1 and 2 ways rectifying.
Name of the subject:
Economics I.
NEPTUN - Code:
GGTKG1SANC
Subject leader:
dr. András Medve
Title:
ass. prof.
ass. prof.
Course description:
An introduction to economics, scarcity and efficiency. The three main concepts of economics organization. Consumer behaviour. The optimal choice of the consumers. Price elasticity of demand. Consumer surplus. Manufacturers' behaviour. Company and enterpris e. Production function. Production costs. Short and long - term cost functions. The profit. Market structures. Offer of companies in perfect competition. Long - term supply. Profit maximization of monopoly. Oligopolies. Market of input factors. Labour market, capital market, stock market, property market. Externalities.
Name of the subject:
Economics II.
NEPTUN - Code:
GGTKG2SANC
9
Subject leader:
dr. András Medve
Title:
ass. prof.
ass. prof.
Course description:
Macroeconomics and its interrelations. Actors.
Output and income. Measurement of the macroeconomics performance. Macroeconomics cycle. Consumption and saving function. Demand on the capital market and multiplier effect. Equilibrium income. Macro demand. Labour market and employment. Macro supply. Econ omic equilibrium. The modern money and banking system. Economic growth, conjuncture. Inflation and unemployment. The role of the state in economy. Fiscal and monetary policy. International trade policy.
Name of the subject:
Introduction to Informa tics
NEPTUN - Code:
NIRBI1SANC
Subject leader:
Léczfalvy Ádám Márton
Title:
ass. prof.
ass. prof.
Course description:
Objectives
These laboratory sessions focus on providing students hands - on practice. Students learn to use efficiently key software applications such as "MS Word", "Excel", "Power point". The students also learn the basic elements of HTML language.The course incorporates the test requirements of the European Computer Driving License (ECDL) in several key areas.
In the framework of this integrated subject students practice algorithmic thinking and acquire the basic skills of program development in OBJECT PASCAL language, which is used as a Delphi console application.
Basics of file handling, Functions, Procedures, Units: concept and declaration of a function and a procedure, parameters and their u se, structure and implementation of units, important standard predefined units and their use, The structure of a Delphi program, Pointers, static and dynamic allocating, chained lists and their using, Structure of objects, encapsulation, inheritance, polym orphisms, Program development using objects, Using OOP in Delphi environment
Using databases, database architecture, Connecting to databases, understanding datasets, Data access and data control components and their relationship, Table,
DataSource, DBGrid, DBNavigator, DBEdit, DBText, DBImage, Use of the Database Form Wizard, Task: Display of an employees' database in grid, realization of navigation, Display of fields of a given record
Navigating datasets
Processing of data sets, Countin g the records of a table by checking the record pointer, Modification of data sets: state diagram, Task: append, modify, delete and withdrawal maintenance operations in the employee table
The aim of the course is to provide students with plain OOP programming skills development practice using Java. Participants gain an insight into the philosophy and language of Java. Students develop applications in integrated laboratory sessions.
This seminar focuses on the practical aspects of object - oriented
paradigm, mainly in the Java language.
13
Syllabus of Laboratory Sessions
Objects and object classes, Using of the integrated development framework, Creating object classes, Instantiating objects, Methods and constructors, Polimorphic usage of methods and constructors, Overloading (methods, constructors), The finalize() method, Data members, Scope and lifespan, Visibility (private, protected, public and package), Final fields and classes, Interfaces and packages, Static fields and methods and static initial ization blocks, The main() function, Handling of command line parameters, Using namespaces (packages), The this
The course serves as an introduction to the fundamental paradigms of software engineering, software design and development methodology, especially modern methodologies based on object - oriented modeling. Students also gain practice in OO software development using CASE tools.
Syllabus
Fundamental Concepts of Software Engineering, Basic Concepts
of Software Development
The waterfall model, the spiral model, the prototype model, the 4GT model, the OO model
In this course students acquire skills in practical implementation of fundamentals of conceptual modeling studied at the course Software Engineering using Rational XDE CASE tool. At the end of the course, students will be familiar with the phases of software development and the importance of analysis and documentation. The methodological aim of the course is to develop the team working skill. Students will be able to overview large scale problems and highlight the essence of problems. 14
Studen ts will be capable to share the workloads into equal proportions, to work together and to keep deadline.
Syllabus of Laboratory Sessions
The subject deals with the elements of modeling a large scale, but well - known problem. The aim is to go through th e inception and elaboration phase.
Inseption phase
We look for the answers to the following questions: What does the system implement primarily? What is the task of the major users? What kind of system structure suits the requirements? By the end of this p eriod, an idea of the end - product will have been ready with simple diagrams and prototypes.
Elaboration phase
In the second period of the course, we refine the requirements, specialize the use cases and the plan of system structure. We focus to the relatio ns among the structural elements and the system.
Teamwork
Students work on the problem in teams. Students develop both their technical knowledge and the project work capabilities, which is a key qualification on the labor market. The members of a group share responsibility, roles and tasks. It is an opportunity for students to show their individual skills.
Components and their features, basic algorithms, the most important algorithms of digital signal shaping
Fuzzy Systems
Fuzzy control, fuzzy controllers and their typical applications.
15
Name of the subject:
Control Engineering II.
NEPTUN - Code:
NIRIT 2 SANC
Subject leader:
Dr. Turóczi Antal
Title:
ass. prof.
ass. prof.
Course description:
Objectives
In the framework of this subject in the laboratory sessions students get to know the practical work of control systems and their methods of study, various well - known methods of definition of simulated and real systems and they get experience in solving simple control tasks.
Syllabus of Laboratory Sessions
The aim of the laboratory sessions is to study simple open loop systems with
simulation, simple closed loop systems with simulation, stability of linear systems with the help of simulation, set - up of qualitative characteristics, realization and study of algorithms applied in computer aided control systems and solving control tasks
on models.
Name of the subject:
Digital technology
I.
NEPTUN - Code:
NIRDT students study the fundamental work of digital systems (logical networking), the basic methods of their description, they study, through examples, the operation of logical networking and get an inside view of logical networking through the solutions of the problems and demonstrations shown in t he lectures. They get to know the basic means and methods of computer simulation (Micro - Cap v70 for the time being) and testing with instruments.
Universal logical functions and elements of their realization, the bases of systematic design methods, basic means of their study and the most important methods, solution of several examples, presentation of simulation
Ideal and Real Elements of Construction, the Ch aracteristics of Real Elements
Reasons why elements are not ideal and consequences thereof, speed characteristics, transition delay time of signals, power characteristics, hazardous symptoms of combinatorial networking and their management
Programmable Com binatorial Networking
Typical elements and the alternatives available with their application, techniques of designing and realization, presentation of advantages and limitations through examples
Sequential Networking
Grouping, methods of description and pa rts, table of state, equation of state, diagram of state, basic models of synchronous and asynchronous networking
Design and Study of Synchronous Networking
16
Storage parts, types of flip - flops and their technique of application, design of a network consisti ng of gates and storage elements, application of programmable networking, the most important means and methods of study, solution of examples, presentation of simulation
Typical Synchronous Networking
Counters, registers and complex synchronous systems
Fundamentals of Design and Study of Asynchronous Networking
Bases of Systematic Design of Digital Systems of High Complexity
Rudiments of means of linguistic description and design, bases of VHDL, description of systems with VHDL, examples of application, case studies
Syllabus of Laboratory Sessions : see at Digital Technology II.
Name of the subject:
Digital technology
II.
NEPTUN - Code:
NIRDT2SANC
Subject leader:
Bitay György
Title:
ass. prof.
ass. prof.
Course description:
Objectives
In the framework of this subject students deepen their theoretical knowledge obtained in Digital Technology I, they get to know, through practical solutions of tasks, the applications of computer aided methods of designing and simulation techniques (using XILINX,
OrCAD and Micro - Cap programs for the time being) and get an inside view of various areas of high priority of circuit realization.
Desig n, realization, tests and documentation of complex digital circuits (i.e. traffic lights) in teams with the help of FPGA circuits, Creating configuration files, their on - line download, tests, fault detection, fault correction, and documentation
Name of the subject:
Electronics I.
NEPTUN - Code:
NIREL, students study analogue signal processing, its most important means and
scopes, theoretical functions of basic electronic parts, their properties and typical applications They get an inside view of computer aided design and acquire the foundations of measurement technology.
Syllabus
Elements of Amplification of Analogue Sig nals
Amplification of potential, current and power
The Operational Amplifier
The ideal operational amplifier, Basic circuits of operational amplifiers, Main characteristics of 17
Operation of Basic Devices of Electronic Circuits, their Characteristics and the Types of Operation
The diode, Bipolar transistor, JFET and MOS FET
Simulation of Electronic Circuits
The presentation of a simulation progr am (at present Micro - Cap v70), the Demonstration of various simple tasks, Introduction to alternatives and limitations
Elements of Measurement Technology
The methods of measurements of basic electrical parameters, Measurement of voltage and current with an alogue and digital instruments, Range of measurement, load, accuracy, resolution, reproducibility, Elements of evaluation and processing of results of measurements
In the framework of this subject students deepen their understanding of the concepts learned in Electronics I, they get to know the fundamentals of computer aided methods of analysis and design, obtain practice in analogue simulation (using Micro - Cap v70 simulator for the time being) and testing with instruments of analogue and digital circuits, in every laboratory session, students solve individual tasks.
Syllabus of Laboratory Sessions
Design of simple analogue circuits,
and testing their function, Study of circuits of operational amplifiers (in time and frequency domain), Study of amplifiers and their parts (in time and frequency domain), Study of power supplies and their parts (in time domain). Examination of static and
The aim of this subject is to teach students the basics of digital electronics, the most important elements of digital systems, the trends of development of logical circuit families, application issues of parts usable for programmable realization of complex functions and logical families that are necessary for engineers of technical informatics.
The genera l points of view of choice and application, Speed and performance limits, the typical functions of basic parts
Study of Logical Circuit Families with Simulation
Features of simulation environment of digital and analogue circuits (Micro - CAP v70 circuit simu lator for the time being), Options of applications, Limits and consequences, Basic notions of production technique of IC
Technical features of static and dynamic operations, Types of cells, Mechanisms of storage and their features
Program mable Circuits
Typical functions of parts, their features of application, Consequences of design and testing, Means and methods
Noise and Disturbance Problems of Digital Systems
Types of noise signals, mechanisms of system input, noise reserve, solutions of
protection.
Features of Microprocessors and Microcontrollers
Systems consisting of one or more chips, Typical functional elements, interfaces, conditions of applications, set of parts, Methods and means of design and development
Fundamentals of Embedded
Systems
Destination, basic functions, special functions issuing from the destination, Means and methods of connectivity with the analogue world
Syllabus of Laboratory Sessions see at Digital Systems II.
Name of the subject:
Digital Systems II
NEPTUN - Code:
NIRDG2SANC
Subject leader:
Vígh Tamás
Title:
ass. prof.
ass. prof.
Course description:
Objectives
In the framework of this subject students go deeply into theoretical knowledge obtained from subject 19
Electronics I, they get to know the fundamentals of designing methods and testing of digital systems and within these, primarily, microcontroller embedded systems through solution of individual practical exercises.
The course introduces students to the Instruction Set Architectures (ISA), as well to the basics of traditional microarchitectures. The course is based on the design space approach, focusing on the demonstration of trends and specific implementations
Notion, interrupt reasons and levels, tasks of the interrupt process, Structure and operation of a hypothetical computer
Main memory
Notion and characteristics of DRAM memory types, Design of a hypothetical computer
Levels of the utilised parallelism, Flynn's and modern classification of processors
Introduction to ILP processing
Data, control and resource - dependencies and schemes to their resolution, Preserving sequential consistency, Principle and implementation of the precise interrupt - processing, the level of the utilised parallelism and the available speed up.
Evolution and overview of ILP processors
Determinism of the evolution , pipelined, superscalar and VLIW processors
Name of the subject:
Computer Architectures II -
NEPTUN - Code:
NIRSA2 pipelined and superscalar processors as major representatives of parallel architecture classes. The course is based on the design space approach, focusing on the demonstration of trends and specific implementations.
One, two and three level caches, characteristics of different levels, Implementation of level 2 caches (attached to processor bus, dedicated and on - chip implementation), Evolution of the cache hierarchy
21
Name of the subject:
Computer Architectures III -
NEPTUN - Code:
NIRSA3 the system architecture of superscalar processors as well as to VLIW, TLP and PLP processors representing the major parallel architecture classes. The course is based on the design space approach, focusing on the demonstration of trends and specific implementations.
This course provides an overview of the Instruction Set Architectures (ISA) of common processors, including the X - 86 processor family. A detailed explanation is given about how the machine code is represented and executed in operating systems. An overview is given and general cha racteristics of compilers and structures of executable files (.COM and .EXE) are discussed. Students are required to learn how to create simple, sequential programs, and iterations, and to accomplish I/O operations. They also practice computations, data co nversion, and simulations. Finally, the access and programming of peripherals (showing graphical elements, handling serial and parallel ports) is covered.
Lectures and laboratory sessions introduce students to the theory and implementation of operating systems. The students get to know the key operating system implementations and acquire practical skills in managing UNIX - based operating systems.
Their types, video system devices, LCD and micro mirror projectors, use of MEMS in constructing micromirrors
COM
Summary of microfilm techniques
Input Devices
General overview
Keyboards
Review, features of keyboard handling, factors of ergonomics, reliability and technology
Touch Screen
Its characteristics, foil and ultrasonic keys
Mouse, Track Ball
Fields of use, optomechanical quantifying and optoelectronic i nput
Barcode Techniques
Types and field of use of barcodes, barcode readers and printing barcodes
Archiving
Application fields of various devices, importance of reliability and extremely long (30 - 50 years) lifetime, and the legal acceptance of the use of d ata
Data Storage
Its alternatives and realization
Magnetic Disks
Features of data storage, floppy disks and drives, hard disks in general, technical characteristics, their structure, influence of applied microelectronic technologies on their development, i nfluence of MEMS on development of hard disks
Optical Discs
CD, CD - ROM, CD - R, CD - RW, DVD ROM, MO –
types and structure of minidisks, fields of use, significance of reliability and extremely long lifetime, new techniques in the fields of minidisks (Nearfiel d Recording)
Magnetic Tapes
Their structure and types, development of archive tapes, significance of reliability and extremely long lifetime, role of coding and error correction
The students will know the fundamentals of building and the operation of computer networks. They get basic information about the implementation concepts of the TCP/IP protocol suit, about the building of Internet, and about the operation of application protocols what ensure
the most basic Internet services.
Syllabus
The evolution, goals and standards of the computer networks
The concept and short history of the evolution of computer networks, the necessity of standards, important standard organizations, classification of th e computer networks
ISO OSI Reference Model
Principles, open systems, goals and advantages of the layered model, concept and implementation of the protocols: finite states automata
The method of the connectionless data transfer, the goal of IP, and its limit, The build - up of the IP datagram, the concept of data encapsulation, The concept of the maximum transfer unit (MTU), f ragmentation and reassembly of datagrams, IP options
Characteristics of the reliable transport service and its implementations, Attributes of TCP, basics of its operation, Error recovery, flow control, Virtual channel concept, and its implementation by 25
TCP, Adaptation capabilities in TCP and their effect on the operation of the network, The TCP finite states machine
Mnemonic addresses on the Internet, Domain Name System -
DNS
The ways of satisfaction the demand of hierarchical addresses on the Internet, mnemo nic addresses on the Internet, the structures of the addresses, Name -
IP - address matching opportunities, implementation by a distributed database, The build - up and the operation of the Domain Name System, maintaining the distributed database
The use of th e TCP/IP network, application protocols
The use of the TCP/IP network, application protocols, Login to a remote computer, the Telnet protocol, File transfer between remote computers, the FTP protocol, Electronic mailing, the SMTP, POP3, IMAP protocols
The fundamentals of the World Wide Web
Interconnecting distributed data, the concept of hypertext, Addressing data, the concept of the URL, Data representation, HTML. The HTTP protocol, The operation of the Web, using static and dynamic data, Relationship betw een databases and the Web
Summary, development of IP, and the future
The present of the Internet, and the impact of the fast evolution, The next generation of IP –
IPv6, Outlook, tendencies, unsolved problems
Name of the subject:
Computer networks II.
NEPTUN - Code:
NIRSH2SANC
Subject leader:
Dr Schubert Tamás
Title:
ass. prof.
ass. prof.
Course description:
Objectives
The students will get know the basic physical transmission mediums, their operation and characteristics used in computer networks.
Creating frames and synchronization. Error detection, the concept of CRC, error correction with retransmission. Flow control, the concept of windowing.
The principles of ana log data transmission
Frequency/phase/amplitude modulation. The goal of using modems, principles of their operation. Modulation, error correction and compression protocols, modem standards and compatibility. Quasidigital transmission, V.90 modems. The fundamentals of ISDN, its services, ISDN channels (B,D), the concept of BRI and PRI, the build - up of the ISDN frame, ISDN signaling. High speed digital data transmission via the telephone network. Fundamentals of ADSL.
Point - to - Point Protocol -
PPP
The con cept of Serial Line IP (SLIP) protocol, and its disadvantage. The goal, usage and attributes of PPP.
The fundamentals of the Ethernet and the IEE 802.x technology
The history of Ethernet, the applied topology and the transmission mediums. The principle of CSMA/CD protocol, the details of the implementation. The build - up of the Ethernet - addresses, and Ethernet - frame. The components of the Ethernet networks: hub, bridge, switch. 10/100/1000 Mbit/s speed classes.
LAN solutions using Ethernet switches
The conce pt and use of virtual LANs. Filtering traffic and access control.
The concept of ATM, its transmission mediums and their attributes, the build - up of the ATM cell. Satisfying quality requirements and their classification: CBR, VBR and ABR. The fundamentals of the operation of the ATM switches.
Space telecommunication fundamentals
The use of satellites for data transmission, the components of satellite systems, techniques of multiple access (FDMA, TDMA, CDMA), the characteristics of the orbits, their influenc e of the transmission, the effect of delay.
Name of the subject:
Computer networks laboratory
NEPTUN - Code:
NIRSHGSANC
Subject leader:
Dr Schubert Tamás
Title:
ass. prof.
ass. prof.
Course description:
Objectives
The students will obtain practical knowledge of computer networking potentials and services. They learn the fundamental networking services of the Windows and Linux/Unix operating systems.
In this subject the students have to learn the principles and realization of information processing systems, the most important data base management systems, and the state - of - the - art methods of data handling.
In the framework of this subject students learn to use to planning, creating and querying database systems. They acquire skills in its use via interactive SQL, or in an embedded way, in the platform of the ORACLE data base system.
The aim of the subject is to show how to program and access client - server database management applications in a high level language environment and how to create effective, component - based database applications.
Syllabus
Characteristics of the client - server databases (revision)
The basic commands of the SQL language (DDL, DQL, DML)
PL/SQL procedure and functions
The PL/SQL, as a server - side database programming language, Declaration and predeclaration of subroutines, recursive subroutines, Stored subroutines and the types and usage of triggers, Realization of multitable restrictions with stored subroutines and triggers, Parametric cursors, cursors containing subqueries, ROWID
Realization of a database system, datatable selection from program, processing
Name of the subject:
Theory of intelligent systems
NEPTUN - Code:
NIRIR1SANC
Subject leader:
Dr Kutor László
Title:
ass. prof.
ass. prof.
Course description:
Objectives
The course introduces the basic principles of the broad field of artificial intelligence. The material covered includes both classical and modern paradigms of artificial intelligence and their relevant applications.
The course introduces students to specific artificial intelligence based development environments as well as basic applications of the theories taught Additional hands on practical experience is gained through the completion of an independent project in a selected field.
29
Syllabus of Laboratory Sessions
Neural Network Design Software
Typical network development environments (Neural Works, Stuttgart) and their features, implementation of simple networks in C or Pascal
Project work: students acquire practice in teamwork, in designing business processes and related data models and subsystems.
Syllabus of Laboratory Sessions
Decomposition of a system to functional subsystems, Allocating subsystems to teams, Designing business processes relating to the subsystems, Design of the data models of the subsystems, Design of relations amon g subsystems, Design of procedures and inputs, Design of input control, Design of outputs, tools to be used for design: process modeling software (e.g. ARIS), or a CASE tool (e.g. Easy Case)
Name of the subject:
Basics of IT Security I.
NEPTUN - Code:
NSTIB1SANC
Subject leader:
Dr Hermann Gyula
Title:
ass. prof.
ass. prof.
Course description:
Objectives
In the framework of this subject the basic concepts of information systems, including communication networking as well as attack techniques and defense possibilities and tools will be discussed.
Syllabus
Concept of Information Security
Security requirements of a system from the point of view of application, Overview of national and international standards and recommendations regarding information security
The course enables students to deepen and implement their knowledge acquired in Fundamentals of Informatics Security I.
Syllabus of Laboratory Sessions
Application of various simple cryptographic methods, Application and analysis of public key encryption (PGP), Simulating attacks and defenses on
networks, Installing a firewall and analysis of its operation, Analysis of actual security drawbacks of Windows NT or XP, as well as demonstration of corrections, Analysis of actual security drawbacks of Linux, as well as demonstration of corrections | 677.169 | 1 |
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9th Grade Common Core Mathematics Complete Year Bundle of 5 Units
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This bundle is a complete collection of 5 units, approximately 10 lessons each for a grand total of 51 lessons. 9th grade common core mathematics is primarily Algebra 1 topics. Topics covered in this bundle are:
Unit 1: Getting Ready (10 lessons, 1 exam--no solution key)
Using a system of two linear equations to solve a story problem.
Solving a one variable inequality and justifying each step.
Solving a one variable inequality and graphing the solution.
Solving an all variable equation for one of the variables.
Solving a system of two linear equations graphically.
Unit 2: Systems of Equations (11 lessons, NO EXAMS)
Given a system of equations and a few coordinates, finding the solution.
Given a system of equations, finding the solution graphically.
Given one equation and a coordinate, determining graphically if the given point is a solution.
Given a linear equation in standard form and some coordinates, finding which coordinate is a solution.
Given a linear equation in standard form and and x or y-value, finding the corresponding y or x-value that is a solution.
Graphing a linear inequality in slope-intercept form.
Given a system of linear equations in slope-intercept form, finding a solution.
Given a linear equation in standard form, graphing using the x and y-intercepts.
Adding and multiplying fractions review.
Determining the solution to a one variable equation.
Using a system of equations to model a story problem and interpret results.
Given an all variable equation, solving for a particular variable.
Graphing a linear inequality (standard and slope-intercept form).
Writing a linear inequality given a graph.
Solving a system of linear equations by substitution and then graphing to check the solution.
Graphing a linear inequality (standard and slope-intercept form).
Using a linear equation to model a story problem.
Writing simple expressions using exponents.
Evaluating simple exponential problems.
Using a system of equations to model and solve story problems.
Solving a one variable inequality and giving the answer in set notation.
Simplifying simple exponential expressions.
Writing an expression with exponents in different ways.
Using a system of linear equations to model a story problem. And interpreting results.
Using a system of linear inequalities to represent a story problem and interpreting results.
Determining the linear inequality that represents a given graph.
Determining the system of linear inequalities that represent a given graph.
Graphing a system of linear inequalities.
Determining if a given point is a solution of a system of linear inequalities.
Determining the number of solutions a linear system has.
Solving simple exponential equations.
Graphing a system of linear inequalities in standard form to determine the solution.
Unit 4: Linear and Exponential Functions (10 lessons, NO EXAMS)
Identifying a sequence as arithmetic, geometric or neither.
Discrete and continuous relationships.
Calculating the slope of a line that passes through a set of points.
Determining which situation has the greatest rate of change.
Finding the recursive and explicit equations for a given table of values.
Graphing linear equations in slope-intercept form.
Determining which situation has the greatest rate of change.
Finding the recursive and explicit equations for a given table of values.
Graphing linear equations in slope-intercept form.
Identify an exponential and linear function given a graph and decide which has the greatest rate of change.
Given one of the following: a table, story, graph or an explicit/recursive equation, come up with the rest.
Given a geometric sequence in context, come up with the recursive and explicit equations.
Determining which function (linear and exponential) has the greater rate of change given graphs or tables of values. Giving intervals where each function has a greater rate of change.
Given the first and last term of a geometric sequence, determining the rate of change, the explicit and recursive equations and the missing terms.
Finding a geometric and arithmetic representation for the same sequence (given the first and last terms).
Writing the explicit and recursive equations for a geometric and arithmetic sequence.
Given the graph of two functions (linear and exponential) determine which has the greater rate of change over different intervals.
Comparing and contrasting a linear function and an exponential function.
Finding a solution to a system of linear equations graphically.
Writing a linear equation given slope and y-intercept.
Using point-slope form of a linear equation to write an equation for a line given a point and slope (or having to calculate slope given two points).
Given a verbal description of a sequence and a rate of change, come up with the recursive and explicit equations that match the description and a graphical representation.
Given a multi step linear equation, isolating y.
Using the simple interest formula to calculate the value of different variables.
Solving multi-step linear equations.
Completing a table of values given a linear equation and a set of x-values.
Using the simple interest formula.
Using the compound interest formula.
Evaluating multi-variable equations given values for the variables.
Describing discrete and continuous relationships.
Finding a geometric and arithmetic representation for a table of values (given the first and last values). Giving the recursive and explicit functions for each. | 677.169 | 1 |
Glencoe Math Course 3 Lesson 2.3
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I used these examples from the book to present this lesson to my Math students in a different way. I presented it in Google slides, but since TpT does not support Google, I had to upload the resource via pdf. I hope you find it useful :) | 677.169 | 1 |
A level mathematics c3 and c4 revision notes
Some exam boards put certain topics in the Core 3 module, while others will have the same topics in the Core 4 module, and vice versa. We have therefore put the topics for Core 3 and 4 together.
FunctionsAlgebra, Series and Functions
Binomial Expansions
Coordinate Geometry
Trigonometry
Trigonometric identities to learn:
C3 Differentiaton
Differentiation was introduced back in Core 1... Basically all that's changed is that we can differentiate harder algebra.
To differentiate, you need to use this form:
It may look kind of scary, but it's much cleaner that using the chain rule, another way. What the algebra means is: the power (n) times the differential (f'(x)) times the original to the power of 1 less ([f(x)]^n-1).
So, let's take as an example:
First we take the power: 6.
Times this by the differential of the brackets:
Finally times by the original, to the power of 1 less:
All those together:
Easy, hm? if your struggling pm kevlar for more help!
The exam will give you all the usual graph questions:
Find the gradient of the curve at the point... this means, find the dy/dx and sub in the coordinates
Find the perpendicular line at the point... This means find the reciprical the dy/dx number and times by -1. Finally use the formula: y - y1 = m(x - x1) where x1 and y1 are the coorinates of the point.
Product and Quotient Rules
You need to learn these. They're not given in the formula booklet:
Product Rule: To find we use the product rule which is
Quotient Rule:
To find we use the quotient rule which is
An easy way to remember this is by the rhyme "Low d-high minus high d-low, over the square of what's below", i.e. (v x du) minus (u x dv), all over (v^2)
NOTE: Quotient rule will be written in the AQA formulae book, but in the form g(x) and f(x) i've written both in there simplest forms for revision just remember prodUct U is cap as it starts with u then ends in u and remember the + sign, and quotient rule starts with v ends with v with a minus sign all over v^2
Examples
Product Rule : For example, find the where
First, we notice two things times together. We can't practically expand the brackets, however, so we need the product rule. We call the first thing "u" and the second "v" and differentiate them separately, and then stick them into the product rule.
now we plug this into the formula
which simplifies to
This factorises to [This is the hardest part but don't worry if you can't do it in the exam as it's usually worth ONLY 1 mark]
Quotient rule
Integration
The following indefinite integrals follow naturally from the differentiation work
Numerical Methods
When using iterration to find x1, x2 etc...
Type the given value for x0 into your calculator and press '='
Then enter the iterrative formula into your calculator and for xn, simply put 'Ans'. Then to find the value for x1, just press '='. Then, to find x2, simply press '=' again without any further work. Likewise for x3, x4 etc...
Vectors
If two vectors are perpendicular then
If two vectors are parallel then
Two vectors are skew (cross on only 2 dimensions but not 3) when the three equations formed by the two lines, in terms of ks,js,is and kt,jt,it do not have common solutions of s and t for all three equations. | 677.169 | 1 |
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Students are the creators of a new wild roller coaster made out of trig functions! In this project, students have to incorporate a variety of trig and inverse trig functions into a seamless ride. This project provides practice with graphing trig functions, writing their equations and placing domain restrictions.
Included:
- Project description and requirements
- Two options of suggested graph paper (Students roller coasters usually are long enough that they will need to join 2 pieces of graph paper together!)
- Grading rubric | 677.169 | 1 |
Department ofMathematics
Math 30800: Bridge to Advanced Mathematics
This course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include set theory, logic, mathematical induction, relations and orders, functions, Cantor's theory of countability, and development of the real number system. 3 HR./WK.; 3 CR. | 677.169 | 1 |
A First Course in Integral Equations
Browse related Subjects ...
Read More far more accessible. The book also includes some of the traditional techniques for comparison.Using the newly developed methods, the author successfully handles Fredholm and Volterra integral equations, singular integral equations, integro-differential equations and nonlinear integral equations, with promising results for linear and nonlinear models. Many examples are given to introduce the material in a clear and thorough fashion. In addition, many exercises are provided to build confidence, ease and skill in using the new methods.This book may be used as a text for advanced undergraduates and graduate students in mathematics and scientific areas, and as a work of reference for research study of differential equations and numerical analysis | 677.169 | 1 |
Until recently the applications of modern algebra were mainly confined to other
branches of mathematics. However, the importance of modern algebra and dis-
crete structures to many areas of science and technology is now growing rapidly.
It is being used extensively in computing science, physics, chemistry, and data
communication as well as in new areas of mathematics such as combinatorics.
We believe that the fundamentals of these applications can now be taught at the
junior levelThis book is for anyone who would like to get a good overview of linear algebra in
a relatively short amount of time.
Those who will get the most out of The Manga Guide to Linear Algebra are:
• University students about to take linear algebra, or those who are already taking
the course and need a helping hand
• Students who have taken linear algebra in the past but still don't really understand
what it's all about
Introduction to digital systems, digital logic, boolean algebra and logic gates, combinational logic gates, number systems, conversions and codes, binary addition and subtraction,... As the main contents of the document "Electronic digital system fundamentals". Invite you to consult the text book for more documents serving the academic needs and research.
Under the name of ideal circuit network, it is easy to make us understand that digital circuits are independent of the inner status and their outputs just only depend on the inputs. They are time constants and therefore Boolean algebra is a special suitable means of describing. In fact propagation delay time of circuit system should be in thought firstly in designing circuit network. In that case Boolean algebra does not seems to be fully suitable for describing actual circuit systems.
The textbook used by my predecessors assumed the reader had had
some experience with electronics. The author went so far as to use
screen captures from oscilloscopes and other test equipment to describe
circuit properties. I soon found that this was a bad assumption to make
when it came to students of computer science.
This self-study course is organized into subject matter areas, each containing learning
objectives to help you determine what you should learn along with text and illustrations to help you
understand the information. The subject matter reflects day-to-day requirements and experiences of
personnel in the rating or skill area.
All digital systems are founded on logic design. Logic design transforms algorithms and processes
conceived by people into computing machines. A grasp of digital logic is crucial to the understanding
of other basic elements of digital systems, including microprocessors. This chapter addresses vital
topics ranging from Boolean algebra to synchronous logic to timing analysis with the goal of providing a working set of knowledge that is the prerequisite for learning how to design and implement
an unbounded range of digital systems.... of GALS circuits. In this case, synchronization is the most optimal method.
1. Introduction Hazard is the essence of digital circuits including synchronous circuit and asynchronous circuit. Hazard occurs as much as "autumn's leaves" [1] and has adverse impact on the working of digital circuits. ... | 677.169 | 1 |
Wednesday, September 9, 2015
Combinatorics: Topics, Techniques, Algorithms By Cameron PDF Download
Combinatorics is a subject of increasing importance because of its links
with computer science, statistics, and algebra. This textbook stresses
common techniques (such as generating functions and recursive
construction) that underlie the great variety of subject matter, and the
fact that a constructive or algorithmic proof is more valuable than an
existence proof. The author emphasizes techniques as well as topics and
includes many algorithms described in simple terms. The text should
provide essential background for students in all parts of discrete
mathematics. | 677.169 | 1 |
Target Competitions
Target Grades
Who should Take This Course
Students who can solve around 17/25 questions on the F=ma in the time given
Students who have qualified for USAPhO Semi-final
Who should Skip This Course
Students who can solve around 3/6 questions on the USAPhO Semi-finalThis course was quite challenging but the teacher taught it well. He would solve it multiple ways so if you didn't understand the previous ways, you could solve it that way.
Kavita M., AMC 8 / MathCounts AdvancedThe course was very fun and exciting. The teachers were very enthusiastic about teaching us and we learned a lot during the course!
CS 201 (USACO Bronze) Student
It's a good course if you like math, there are rewards, and is generally a fun course. | 677.169 | 1 |
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This is a complete lesson on composite functions and includes a mastery worksheet within the PowerPoint.
The lesson includes a starter activity based on substituting values into functions.
A clear explanation on what a composite function is and how to calculate composite functions.
4 full examples on calculating composite functions. (2 with an input of a number, 2 with an input of a variable)
A few questions for the students to try altogether before the worksheet.
A mastery worksheet split into 3 sections (fluency, reasoning and problem solving) so students can master the topic. It also includes an AQA UK exam question at the end so students can see how many marks would be awarded in the exam.
Answers for the worksheet.
Plenary question getting students to spot the mistakes.
If you would like to change the year in the PowerPoint (I have taught this topic to year 10 in the UK) all you need to do is to view slide master and change the master slide. | 677.169 | 1 |
April 3, 2017
The reading of that College Calculus Book for the incoming freshman
Here is the guide from a Johns Hopkins University math professor on how to attain the ability to read a college level math textbook. His big tip is: READ as in practice.
Unlike high school the pace is really rapid in university level math courses. In a high school Calculus AB class or BC class, a student may spend 200 hours in class to cover a College semester's worth of material. At the university the time is about 50 hours to cover a semester's material.
In many k-12 programs reading a math textbook in grades 6 through 12 is de-emphasized for the book may be non-existent. | 677.169 | 1 |
About this title:
Synopsis: Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
About the Author:Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field is topology.
Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis.1116
Book Description Cengage Learning, Inc, United States, 2015. Paperback. Book Condition: New. 4th Revised edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer. Bookseller Inventory # BTE9781305118157 | 677.169 | 1 |
"Fundamentals of Mathematics represents a new kind of mathematical publication. While excellent technical treatises have been written about specialized fields, they provide little help for the nonspecialist; and other books, some of them semipopular in nature, give an overview of mathematics while omitting some necessary details. "Fundamentals of Mathematics strikes a unique balance, presenting an irreproachable treatment of specialized fields and at the same time providing a very clear view of their interrelations, a feature of great value to students, instructors, and those who use mathematics in applied and scientific endeavors. Moreover, as noted in a review of the German edition in "Mathematical Reviews, the work is "designed to acquaint [the student] with modern viewpoints and developments. The articles are well illustrated and supplied with references to the literature, both current and 'classical.'"The outstanding pedagogical quality of this work was made possible only by the unique method by which it was written. There are, in general, two authors for each chapter: one a university researcher, the other a teacher of long experience in the German educational system. (In a few cases, more than two authors have collaborated.) And the whole book has been coordinated in repeated conferences, involving altogether about 150 authors and coordinators.Volume I opens with a section on mathematical foundations. It covers such topics as axiomatization, the concept of an algorithm, proofs, the theory of sets, the theory of relations, Boolean algebra, and antinomies. The closing section, on the real number system and algebra, takes up natural numbers, groups, linear algebra, polynomials,rings and ideals, the theory of numbers, algebraic extensions of a fields, complex numbers and quaternions, lattices, the theory of structure, and Zorn's lemma.Volume II begins with eight chapters on the foundations of geometry, followed by eight others on its analytic treatment. The latter include discussions of affine and Euclidean geometry, algebraic geometry, the Erlanger Program and higher geometry, group theory approaches, differential geometry, convex figures, and aspects of topology.Volume III, on analysis, covers convergence, functions, integral and measure, fundamental concepts of probability theory, alternating differential forms, complex numbers and variables, points at infinity, ordinary and partial differential equations, difference equations and definite integrals, functional analysis, real functions, and analytic number theory. An important concluding chapter examines "The Changing Structure of Modern Mathematics." | 677.169 | 1 |
Master concepts which are foundational in number theory: congruences,
Diophantine equations, and the like.
Understand various properties of the integers, what they mean, where they come from, and why they are
important. To that end you will learn about different systems of numbers: The integers,
the rationals, the "Dudley numbers", the p-adic integers, finite fields,
Gaussian integers, and the quaternions. These will be developed for their own interest,
and you will also see stunning applications to classical problems involving the ordinary integers.
Put some elements of "recreational math" on a firm footing. Do you know that if you want to
test an integer for divisibility by 3, you can add the digits and test that for divisibility by 3?
We will prove it.
Learn more about the history of mathematics. Number theory is rivalled only by geometry in the depth
of its history, and it has attracted the attention of the most brilliant mathematicians who have ever lived.
Very significant results were proved as early as 300 BCE and as recently as this May. We will see both.
Learn how to think in terms of algebraic structures. This is a great class to take for anyone
interested in Math 546, or who is taking it at the same time.
Study some of the jewels of mathematics. Some of the most beautiful proofs in all of mathematics
concern number theory, and they illustrate ways of thinking that apply everywhere in mathematics, and indeed
everywhere in rigorous thinking of any sort. We will see Fermat's infinite descent, Euclid's parameterization of pythagorean triples, Gauss's
quadratic reciprocity law, and more.
Each of these ideas can be taken very far: see here,
here, and here. (worry not: these topics will not be on the exam.)
In addition, students will also:
Thoroughly understand what definitions and theorems are. The student will be able to precisely state definitions and theorems and understand how they are applied.
Practice writing proofs. It is expected that the student will have some, but not a lot, of experience writing proofs.
The student will gain more practice.
Practice good mathematical writing. In mathematics, as indeed in everything else, it is important not only to be correct but to explain yourself clearly and as simply as possible.
Warning. You should expect 5-8 hours of homework a week in this class, which is more than most other instructors assign;
in my experience there is no other way to learn the material. Your consistent effort will certainly lead to improved understanding,
and it will almost certainly lead to you earning high grades.
Text :
Dudley, Elementary Number Theory,
buy it here
or at the bookstore.
This introductory textbook is a little bit old-fashioned, but it is delightful, it is fun to read, it is
geared towards beginners, and unlike some other books you don't need to remortgage your house
to buy it.
Lectures :
LeConte 121, TR, 2:50-4:05.
Exam schedule :
In-class midterms will be on Thursday, October 3 and Thursday, November 7.
The homework is intended to take 5-8 hours a week. That is a lot. Please
count on making a consistent effort to do well in this class! Starting the night before is a bad idea.
If homework takes you more than 10 hours on any given week, then that is more than I intended;
please let me know.
There will be at least one bonus problem on each homework, each worth one or two points, up to a maximum
score of 11/10 on each week's homework. This is the only way to earn extra credit; please note that bonus problems
will not be accepted late.
Graduate credit: If you want graduate credit, you are required to do at least one bonus problem from
every other homework (i.e., do one from HW1 or HW2, etc.) Bonus problems on top of that count for extra credit.
Grading :
Please note. You will be graded both on correctness and on quality of exposition. Indeed, a major
focus of Math 580 is the ability to communicate mathematical ideas clearly.
The standard is that someone who doesn't know the answer should be able to easily follow your work.
In particular, please write in complete English sentences and draw clear diagrams where appropriate.
Any work that is confusing, ambiguous, or poorly explained will not receive full credit.
Please note that my grading scale is more generous than the usual 10-point scale. However,
I am a (slightly) stricter grader than most.
This is intended
to balance out.
  Grade component  
  % of grade  
  Two in-class exams  
  20% x 2  
  Final exam:  
  35%  
  Homework:  
  25%  
Contacting me :
Please contact me if you have any questions about the course, about my expectations, about my lectures,
about the homeworks, about the reading, or about anything else. The syllabus is demanding and it is my
job to help you succeed.
The best ways to get help are to come to office hours (no appointment necessary) or to e-mail me (I will
almost always reply within 24 hours). If neither of these work for you then please e-mail me to set up an
appointment.
Please note: If you come to office hours, please don't be shy about interrupting me! I'm usually in
the middle of something, but it can wait.
Make-up policy :
If you have a legitimate conflict with any of the exams it is your responsibility to inform me at least a week before the exam.
Otherwise makeup exams will be given only in case of documented emergency.
Late homework will be accepted once per student, up to a week late; after that, no late homework please
except in case of emergency.
Academic honesty and attendance are expected of all students.
Calculators will not be needed or allowed.
Schedule and homeworks:
(Note: Daily topics are listed only for some days, and when in the future are subject to change.) | 677.169 | 1 |
There is an emphasis throughout the course on developing mathematical skills, including:
Problem Solving
Representing situations
Analysing, using mathematical reasoning and/ or the appropriate mathematical procedure
Interpreting and evaluating
Communicating findings to others and reflecting on different approaches
Additionally learners who are making below expected progress are given the opportunity to spend half a term with a maths interventions teacher.
Year 7 & 8 learners are withdrawn periodically and in small groups to sharpen their mental arithmetic during registration.
In Years 9, 10 and 11, learners follow the Edexcel linear GCSE mathematics course. This course is 100% externally assessed via a non-calculator and two calculator examinations at the end of the course.
There is an emphasis on application and problem solving in line with the new programme of study. We use many different teaching methods and resources to challenge and motivate students. Learners who are successful in completing their GCSE Maths in Year 10 are given the opportunity of to develop their mathematics further in Year 11 through the AQA Level 2 Certificate in Further Mathematics MyMathsRevision, Intervention and Enrichment
There is a weekly homework help club every Tuesday in M9. This provides access to both computers and the help of mathematics teachers to support homework.
There are GCSE revision classes for higher and foundation on a TuesdayKS5
Mathematics continues to be a popular choice at A level where we follow the Edexcel specification for Mathematics and Further Mathematics. In Year 12, learners study Pure 1, Statistics and Mechanics 1 units as part of a standalone AS mathematics course. 2017-18 will be the final year, year 13, learners study C3, C4 and M1 to complete the A level course. From 2018-19 Year 13s will complete the new specification Edexcel Linear A level mathematics course by completing Pure1, Pure 2 and Statistics & Mechanics.
A level learners are expected to complete 5 hours of private study per week.
AS and A2 revision classes run after school on Fridays in the General Teaching Room (GTR) in the Sixth Form block.
Homework tasks will usually be linked to the course book or to exam practice. | 677.169 | 1 |
Services
Funko Exclusives!
Math is an essential component of the interior design profession. "Estimating and Costing for Interior Designers" teaches readers a logical process for calculating materials and estimating the costs of installed products based on their math calculations.
Math is an essential component of the interior design profession. "Estimating and Costing for Interior Designers" teaches readers a logical process for calculating materials and estimating the costs of installed products based on their math calculations. Utilizing step-by-step examples and worksheets, this text simplifies the math used in the interior design field. Sample problems and exercises take the calculations of quantities needed one step further to actually applying material and labor costs, in order to discover the installed costs of the specified products.
Clear sections cover wall and ceiling treatments, window treatments, soft fabrications, upholstery, flooring, and cabinetry and countertops. They include photographs of the product before, during and after installation. | 677.169 | 1 |
Menu
Send text messages to
anyone, anywhere, at any time from your computer
- anonymously. Click
here.
About This Site
This site is
dedicated to the teaching and learning of
mathematics. When you click on the Topics
link to the left, you will see a hyperlink for
each the math topics supported by this site.
On each link in capital letters is the major
topic such as Algebra or Statistics. The
following description states the specific topic
for that link. At the end of each link is
the affordable cost for the topic; many are
FREE.
Each lesson consists
of three parts, all of which are optional:
an explanation part, an example part, and a quiz
part. The lesson part explains the topic
in very easy to understand language. It
gives any formulas needed as well as steps to
completing a problem. The lesson also
gives one random example and explains how to do
the problem. The example is different each
time you read the topic lesson.
Immediately below the lesson example are two
hyperlinks -- one for another example and one to
begin a quiz.
The link for view an
example presents another problem and how it is
to be solved, step by step. The problems
are create by random numbers so that you rarely
get the same problem twice. View as many
examples as you like until you understand the
process.
The quiz link gives
you the opportunity to quiz yourself.
Problems are generated randomly. You can
enter an answer and check to see if the answer
is correct. The website keeps track of
your score while you are taking the quiz.
Do as many or as few problems as you like.
Many of the topics are designed so that as you
take the quiz and get questions correct, the
questions get more and more difficult.
Someone who does not understand the topic and
gets the questions wrong will not have the
difficulty increase. But for the person
getting the questions correct, the difficulty
increases.
The topics that are
not free are priced affordably. To access
these topics you must register yourself once
with the link on the right and then log in to
the site. When you log in each time, there
will be a link on the left to Buy Topics.
Clicking on this will bring up a list of topics
that can be purchased. Click on one or
several and press Submit. You will be
given a confirmation page and then will be asked
to press the Paypal button. Press this
button will take you to Paypal so you can enter
a credit/debit card number. If you do not
have an account with Paypal, you can set one up
at this time. Follow the simple directions
to complete the transaction. Once
completed, you will be given two weeks (14 days)
access to the chosen topic or topics.
During this time you will have unlimited access
to these topics. I would suggest checking
out the FREE topics before purchasing the
others. That way you know the type of
instruction you will be receiving.
About Me
I have been teaching
mathematics for over 15 years as a full-time and
adjunct instructor in several community colleges
and technical schools. I have seen
thousands of students pass through my classes,
each with varying needs. During this time,
I have learned several things.
First, every student
learns differently. Some students just
need a verbal lesson on what to do and can then
do it. Some students just need some
examples shown to them before understanding the
topic. Finally, some students just need to
work the problems themselves to understand
completely. That is why there is a lesson,
examples, and a quiz for each topic.
Second, I know that
learning mathematics takes practice; it does not
come by sleeping over it. Students must
work problems in order to master them. For
some it may be just a few problems. For
others, many problems. That is why there
is a quiz feature so that a student can practice
the topic as many times as needed. As
stated above, for many of the topics as the
student gets problems correct, the problems get
a little more difficult so that the student is
continuously challenged.
Finally, I have
learned that many students like having a topic
broken down into steps. In almost every
topic I have done just that. The lesson
gives the steps that need to be completed and
the example shows how to do specific problems,
step by step. Learning steps allows a
student to develop a consistent pattern for
doing a problem so it becomes a habit. | 677.169 | 1 |
A Practical Introduction to Matlab
Description This book provides an
introduction to some of the most useful features of Matlab. Author includes
plenty of examples, the best way to learn to use Matlab is to read this while
running Matlab, trying the examples and experimenting. Topics covered
includes: Simple calculations and graphs, Programming in Matlab, Advanced matrix
computations, Advanced Graphics, Solving nonlinear problems in Matlab,
Efficiency in Matlab and Advanced data types in Matlab. | 677.169 | 1 |
Find a Issaquah TrigonMatlab is an interpreted language cum tool for solving complex mathematical problems. It is highly optimized for numeric computations. It allows one to perform numerical calculations much faster compared to programming languages like C, C++ and Java.
pre-algebra. | 677.169 | 1 |
Showing 1 to 5 of 5
Lab - Install the Power Supply
Introduction
In this lab, you will install a power supply in a computer case.
Recommended Equipment
Power supply with a compatible form factor to the computer case
Computer case
Tool kit
Power supply screws
Step 1: Open the
Lab - Install the Motherboard
Introduction
In this lab, you will install a CPU, a heat sink/fan assembly, and RAM module(s) on the motherboard. You will
then install the motherboard in the computer case.
Recommended Equipment
Computer case with power supp
Lab - Computer Disassembly
In this lab, you will disassemble a computer using safe lab procedures and the proper tools. Use extreme care
and follow all safety procedures. Familiarize yourself with the tools you will be using in this lab.
Note: If you cann
Intermediate Algebra Advice
Showing 1 to 2 of 2
I would recommend this course because Mrs. Heiner is a wizard when it comes to math. She can help anyone go from a F to an A in 3 months. If you have a weakness, she can easily make it your strength.
Course highlights:
The highlights of this course consisted of some trig, simple algebra, and especially quadratic functions. You WILL have the quadratic formula memorized.
Hours per week:
6-8 hours
Advice for students:
In order to succeed in this class, you just have to make sure to stay updated on your homework. Be sure to do your homework every night because it the great words of Mrs. Heiner, "Math is a beast and if you feed it every day, you will be able to control it." | 677.169 | 1 |
"Sinopsis" puede pertenecer a otra edición de este libro.
From the Back Cover:
A complete—and completely enjoyable—new illustrated guide to calculus
Master cartoonist Larry Gonick has already given readers the history of the world in cartoon form. Now, Gonick, a Harvard-trained mathematician, offers a comprehensive and up-to-date illustrated course in first-year calculus that demystifies the world of functions, limits, derivatives, and integrals. Using clear and helpful graphics—and delightful humor to lighten what is frequently a tough subject—he teaches all of the essentials, with numerous examples and problem sets. For the curious and confused alike, The Cartoon Guide to Calculus is the perfect combination of entertainment and education—a valuable supplement for any student, teacher, parent, or professional.
About the Author: BZE9780061689093 | 677.169 | 1 |
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Math Institute: Pre-Algebra Series (6-8): 9:00-11:00
Jul 10 - Jul 22
The Hockaday School
Starting at
$420.00
Meeting Dates
From Jul 11, 2016 to Jul 22, 2016
About This Activity
This course is designed for students who will be taking pre-algebra in the coming year. Proficiency with whole numbers, fractions, and decimals is required. Students will extend their skills in these areas to include applications involving negative numbers and variables. Additional topics may include variables and expressions, equations and word problems, ratio, proportion and percent, and geometry. Students will be assessed on the first day of class to ensure that each child is challenged at the best level. This course is appropriate for students entering Hockaday's Integrated Math I course. Each session is two weeks in length but can be progressive, so participation in multiple sessions will provide further in-depth instruction and a great head start on the | 677.169 | 1 |
Aim
The study of Mathematics Extension 1 in Stage 6 enables students to extend their knowledge and understanding of what it means to work mathematically, develops their skills to reason logically, generalise and make connections, and enhances their understanding of how to communicate in a concise and systematic manner. | 677.169 | 1 |
Elementary Row Operations On A Matrix
Here's an intro to the three elementary row operations you can perform on a matrix, along with a little aside on what's really going on when you do these things -- remember, matrices are a way of representing systems of linear equations, with each row representing an equation. So, the row operations of a matrix are the kinds of things you can do to whole equations in a linear system! | 677.169 | 1 |
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
calculus for physics, vector calculus part 2
Scalar product reserved for people who have never had an electricity and magnetism course, or who have never had an advanced course on vector calculus. Anyone can use it just needs a HighSchool Diploma level, this is a free course with 59 minutes videos.
Before any electricity and magnetism course we need mathematical tools like :
I teach physics since 2011,my courses have had a great success in francophone countries and there I try adventure in English, the secret of my courses is that they are very detailed and i Never skip a calculation.
I have a degree in physics from cadi ayyad university Marrakesh, Morroco. | 677.169 | 1 |
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#1 U.G. Mathematics ; Short Questions and Answers
This book titled U. C. Mathematics (Short Questions and Answers) has been written for the students of B.A., B.Sc. general course for all Indian Universities. All the efforts have been made to make this book useful for other competitive examinations. Though the book is of general nature but an effort has been made to cover up most of the topics prescribed for B.A.,B.Sc. general courses.
#2 Engineering Mathematics, Second Edition
This book is the sequel to Stroud's excellent "Engineering Mathematics", which focused on the undergraduate engineer and the math that he/she should know by graduation. This book continues on with crystal-clear discussions of numerical methods, linear algebra including the singular value decomposition and its uses, linear programming methods, multiple integration, and partial differential equations, to name a few of the topics covered. Just because the mathematics is more advanced in this book does not mean that it is any less clear than its less advanced predecessor
#3 Production Factor Mathematics
Mathematics as a production factor or driving force for innovation? Those, who want to know and understand why mathematics is deeply involved in the design of products, the layout of production processes and supply chains will find this book an indispensable and rich source. Describing the interplay between mathematical and engineering sciences the book focusses on questions like How can mathematics improve to the improvement of technological processes and products? What is happening already? Where are the deficits? What can we expect for the future? 19 articles written by mixed teams of authors of engineering, industry and mathematics offer a fascinating insight of the interaction between mathematics and engineering
#7 Elements of Mathematics: General Topology, Pt.1
Most branches of mathematics involve structures of a type different from the algebraic structures (groups, rings, fields, etc.) which are the subject of the book Algebra of this series: namely structures which give a mathematical content to the intuitive notions of limit, continuity and neighborhood. These structures are the subject matter of the present book.
#9 Handbook of Mathematics, 5th Edition
This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications.
#11 A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides.[cut]This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.
#12 Embracing Mathematics
This alternative textbook for courses on teaching mathematics asks teachers and prospective teachers to reflect on their relationships with mathematics and how these relationships influence their teaching and the experiences of their students. Applicable to all levels of schooling, the book covers basic topics such as planning and assessment, classroom management, and organization of classroom experiences; it also introduces some novel approaches to teaching mathematics, such as psychoanalytic perspectives and post-modern conceptions of curriculum.
#13 The Language of Mathematics: Making the Invisible Visible
Keith Devlin is trying to be the Carl Sagan of mathematics, and he is succeeding. He writes: "Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent of a pair of ears. Mathematics can be seen only with the eyes of the mind." All of his books are attempts to get around this problem, to "try to communicate to others some sense of what it is we experience--some sense of the simplicity, the precision, the purity, and the elegance that give the patterns of mathematics their aesthetic value."
#15 Oxford Users' Guide to Mathematics
The Oxford User's Guide to Mathematics in Science and Engineering represents a comprehensive handbook on mathematics. It covers a broad spectrum of mathematics including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimization, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. This is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. The book offers a broad modern picture of mathematics starting from basic material up to more advanced topics. It emphasizes the relations between the different branches of mathematics and the applications of mathematics in engineering and the natural sciences. The book addresses students in engineering, mathematics, computer science, natural sciences, high-school teachers, as well as a broad spectrum of practitioners in industry and professional researchers. A comprehensive table at the end of the handbook embeds the history of mathematics into the history of human culture. The bibliography represents a comprehensive collection of the contemporary standard literature in the main fields of mathematics.
#16 A Combinatorial Introduction to Topology
Excellent text for upper-level undergraduate and graduate students shows how geometric and algebraic ideas met and grew together into an important branch of mathematics. Lucid coverage of vector fields, surfaces, homology of complexes, much more. Some knowledge of differential equations and multivariate calculus required. Many problems and exercises (some solutions) integrated into the text. 1979 edition. Bibliography | 677.169 | 1 |
appet come People often try to find shortcuts for learning math, since it is a set of associations that have been founded on pattern recognition, and it can be hard to catch up if you have gaps and holes at a foundational level. | 677.169 | 1 |
Integers (Part 1)
Video Description
This video is a review of basic arithmetic for the purpose of solving problems on the quantitative reasoning section of the GRE revised General Test. This video covers the basics of integers. Topics covered include: Number Lines, Operations, Absolute Values, Addition and Subtraction of integers. | 677.169 | 1 |
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Mathematics 090
Basic Mathematics
Length of Course: 14 weeks
Classroom Hours per Week: 4 hours
Number of Credits: not for credit
Audience: students with deficiency in Mathematics
Description of Course
This is a developmental course in Mathematics intended for weaker students who wish to upgrade their Mathematics skills in order to take a first year University Pre-Calculus Course. Students learn to comprehend and apply intermediate algebra and arithmetic skills. The course is adapted to individual learning differences by working closely with each student.
Course Outline
Numerical Arithmetic Operations
Addition, subtraction, multiplication and division in the set of integers, order of operations, factors and multiples, prime numbers, divisibility tests,Fundamental Theorem of Arithmetic, least common multiple, greatest common divisor
Rational numbers
Operations with rational numbers, expressing a fraction in lowest terms | 677.169 | 1 |
Translating Algebraic Expressions with QR Codes
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There are 20 problems - 1 per page. Students are asked to translate verbal expressions in to Algebraic expressions (some require them to also solve after they have translated). When they are finished they can check their answers by scanning the QR code using their phone or tablet! If the problem says to "translate and solve" both answers will appear when they scan the code.
This was intended for 6th grade students, so the problems students are asked to solve are all one-step equations. All problems involve positive integers only. There are 6 challenge problems and a few problems with inequality symbols -- my students were asked to translate these problems but not solve them. | 677.169 | 1 |
addresses emphasizes the reform movement in mathematics, discovery learning, and curve fitting. The combination of a strong reference quality along with creative, conceptual, sometimes-applied problems, makes a powerful impression on traditionalists and reformers. Chapter topics include linear functions, quadratic functions, exponential functions, modeling with sequences and series, rational functions, and radical functions. For reference use in the study of Intermediate Algebra. | 677.169 | 1 |
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Introductory Course on DIFFERENTIAL EQUATIONS provides an excellent exposition of the fundamentals of ordinary and partial differential equations and is ideally suited for a first course of undergraduate students of mathematics, physics and engineering. The aim of this book is to present the elementary theories of differential equations in the forms suitable for use of those students whose main interest in the subject are based on simple mathematical ideas. KEY FEATURES: Discusses the subject in a systematic manner without sacrificing mathematical rigour. A variety of exercises drill the students in problem solving in view of the mathematical theories explained in the book. Worked out examples illustrated according to the theories developed in the book with possible alternatives. Exhaustive collection of problems and the simplicity of presentation differentiate this book from several others. Material contained will help teachers as well as aspiring students of different competitive examinations. | 677.169 | 1 |
Whether a mathematical notation is a variable, parameter, or constant depends on what you mean by it. If you intend to represent the value of a quantity whose measure varies within a situation, then you are using that notation as a variable. If you intend to represent the value of a quantity whose measure is the…
Most Grade 10 syllabus do not yet include the concept and calculation of derivative. At this level, the study of function which started in Year 7 and Year 8 on linear function is simply extended to investigating other function classes such as polynomial function to which linear and quadratics belong, the exponential function and its…
In my previous post about examples, I described different uses of examples in teaching mathematics. In this post I'll give a series of examples for us to be conscious about sequencing examples in our lesson. What are the things do you consider when you think of an example in a math lesson? And how do you sequence…
There are two types of assessment based on its goals or use. One is what I call assessment in the service of teaching. The second is what I call assessment in the service of learning. Assessment in the service of teaching refers to the use of assessment information to improve teaching while assessment in the…
Show and tell activity (aka lecture method) may work for some but never in a mathematics class. Getting students to explain and ask questions are nice but only when the explanation and the questions are mathematical. Reasoning and justifying are good habits of mind but they are only productive if they are based on mathematical… | 677.169 | 1 |
Graph is a free application that allows you to draw maths graphs on a coordinate system. Download Graph and you will easily be able to draw functions
Any student or mathematician that needs to draw a function, coordinates or any kind of mathematical representation will surely use Graph. Once the program has been launched, all we will have to do is add the functions and calculations that we want to see represented.
To show all the representations the software divides its interface in two, an area where it will show all the functions and mathematical expressions, and another in which we will see its representation on a coordinates axis.
With Graph it is possible to add all kinds of representations: trigonometry, logarithmic, hyperbolic, etc. Of course, it also includes the possibility to show common maths constants like pi.
To sum up, Graph is a relatively complete software application in which it won't be complicated to obtain the Graph of a function to help us understand it, furthermore, since we will instantly be able to modify it, we will be able to understand how they work a lot easier, no matter how complicated they are | 677.169 | 1 |
Modern Algebra and the Rise of Mathematical Structures, Second Revised Edition (Softcover)
"This book is intended for historians of mathematics and matheticians interested in the development of algebra and in the history of twentieth-century mathematics. It will also be read with interest by philosophers and historians of science concerned with the role of heuristic and contextual factors in the development of scientific ideas." — From the back cover
$41.95
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Condition
VERY GOOD: This book is in very good condition, with a few signs of use and wear. It was printed on acid-free paper.
Description
NOTE: The first edition of this book was published in 1996 in the series Science Networks – Historical Studies Volume 17.
From the back cover: "The notion of a mathematical structure is among the most pervasive ones in twentieth century mathematics. Modern Algebra and the Rise of Mathematical Structures describes two stages in the historical development of this notion: First it traces its rise in the context of algebra from the mid-nineteenth century to its consolidation by 1930, and then it considers several attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
"Part One of the book discusses the process whereby the aims and scope of the discipline of algebra were deeply transformed, turning it into that branch of mathematics dealing with a new kind of mathematical entities: the 'algebraic structure'. But, what is a mathematical structure and what is the place of this notion within the whole fabric of mathematics?
"Part Two describes the historical roots, the early stages and the interconnections between three attempts to address these questions from a purely formal, mathematical perspective: Oystein Ore's lattice-theoretical theory of structures, Nicolas Bourbaki's theory of structures, and the theory of categories and functors."
BRIEF CONTENTS
Introduction: Structures in Mathematics
Part One: Structures in the Images of Mathematics
Structures in Algebra: Changing Images
Richard Dedekind: Numbers and Ideals
David Hilbert: Algebra and Axiomatics
Concrete and Abstract: Numbers, Polynomials, Rings
Emmy Noether: Ideals and Structures
Part Two: Structures in the Body of Mathematics
Oystein Ore: Algebraic Structures
Nicolas Bourbaki: Theory of Structures
Category Theory: Early Stages
Categories and Images of Mathematics
Bibliography
Author Index
Subject Index
Details
SKU:
2167
Author:
Corry, Leo
Publisher:
Birkhauser
Publish Date:
2004 (First Printing)
Format:
Softcover
Weight (pounds):
2.81
Dimensions (W"xL"xH"):
6.7″x9.45″x1.3″
ISBN-13:
9783764370022
ISBN-10:
3764370025
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Item Description: Paperback. Book Condition: New. Paperback. Concise undergraduate text focuses on problem solving, rather than elaborate proofs. The first three chapters present the basics of matrices, including addition, multiplication, and divisi.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 163 pages. 0.204. Bookseller Inventory # 9780486420004 | 677.169 | 1 |
Trigonometry
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Read More annotations using everyday language. Your Turn exercises reinforce concepts and allow readers to see the connection between the problems and examples. Catch the Mistake exercises also enable them to review answers and find errors in the given solutions. This approach gives them the skills to understand and apply trigonometry.
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The trigonometry textbook was shipped quickly within 5 days and the price was on average 30 dollars less than other websites that i looked at.. overall i am very satisfied with the quality of the textbook | 677.169 | 1 |
MATH 810T: Algebra for Algebra Teachers
Prereqs: Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences
The integers. The Euclidean algorithm, the Fundamental Theorem of Arithmetics, and the integers mod n. Polynomials with coefficients in a field. The division algorithm, the Euclidean algorithm, the unique factorization theorem, and its applications. Polynomials whose coefficients are rational, real or complex. Polynomial interpolation. The habits of mind of a mathematical thinker. The conceptual underpinnings of school algebra. | 677.169 | 1 |
Figure 3.11 illustrates an example of matrix composition. In the "Add this website" box Internet Explorer should already have filled in "lamar.edu" for you, if not fill that in. For that reason we will define and describe hierarchy with mathematical precision before discussing its social downside for people. Prerequisites: Math 20D and either 20F or Math 31AH, or consent of instructor. The meta-question here is about the conversation.
Colt does this already, but I have found it is more complicated and more powerful than Jama which may explain why simple functions are slower with Colt. I was half crazy over the loss of the three kids and what they�d done to Ba-chan and she was a load to handle every minute she was awake. For example, calculating the inverse of a matrix via Laplace's formula (Adj (A) denotes the may lead to significant rounding errors if the determinant of the matrix is very small. There is either no solution of equation A*x = b, or there are again an infinite number of solutions.
Kapoo Stem
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Language: English
Format: PDF / Kindle / ePub
Size: 11.03 MB
Downloadable formats: PDF
He finished the manuscript a few months before he died and passed it to his son to decide what to do with it. Editors-in-chief: Chi-Kwong Li, ckli@math.wm.edu College of William and Mary, USA. Enrichment exercises of varying complexity provide advanced students opportunities to extend learning. Here and in the sequel we identify Rn with the set of "columns" or n-by-1 matrices. Now doubling back to the RC circuit of Figure 48, we will first explain its dynamic behavior in terms of Kirchhoff�s Law and then use that to explain goal directed human behavior.
Or under any of the Republican war hawks who might be elected. Our faculty are well-published scholars in fields of algebra, analysis, applied mathematics, and geometry/topology. One special but common case is block matrices, which may be considered as matrices whose entries themselves are matrices. Why, sometimes I've believed as many as six impossible things before breakfast.' " "Where shall I begin" he asked. "Begin at the beginning", the king said, "and stop when you get to an end." "And what is the use of a book," thought Alice, "without pictures or conversations?" "The peculiar interest of magic squares and all lusus numerorum in general lies in the fact that they possess the charm of mystery.
Only matrices of the same size can be added. Important note wrt. rouning errors: Test if ( T > 0.00000001 ) to avoid large distortions! Common Core Teacher's Editions contain complete program support, including Chapter Overviews with Common Core correlations and Standards for Mathematical Practice discussion questions. Does he sometimes get confused with x^2 and 2x? Things changed course in our life shortly after this, which will soon take us back to child murderer, Ed Graf.
You will be presented with a variety of links for pdf files associated with the page you are on. This identifies the RC circuit as negative feedback control, albeit �passive� feedback control as the systems engineering textbooks categorize it. It is totally hands on, interactive and the kids LOVE it! Manipulation of the intuitive D diversity based operation of the mind to assess significance is a cornerstone foundation of propaganda.
When the outcome of an activity is the same as the intended goal, the activity is successful; and when the outcome of an activity is distinct or different than the goal intended, the activity is chalked off by the mind as a failure. Newtonian kinematics interpreted cybernetically also can provide a mathematical understanding of �behavioral driving forces� and �emotional energy.� There are limits to any explanation of human emotion and behavior in cybernetic terms without first understanding their origin in evolution, the topic we will take up next.
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Format: Paperback
Language: English
Format: PDF / Kindle / ePub
Size: 14.66 MB
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STUDENT: -- is the two and the three supposed to be switched? Free cross multiplication worksheet, difference between permutation and combination, Complex Trinomials roots. InGiven the following system of equations, write the associated augmented matrix. It's another way to perceive matrice product. what if a matrix multiplied by a matrix? we can either seperate right matrix(B) into columns of scalars and get a Row of Column combinations or seperate left matrix(A) into rows of scalars and get a Column of Row combinations. The innovation of a grade school teacher, ABCya is an award-winning destination for elementary students that offers hundreds of fun, engaging learning activities. | 677.169 | 1 |
Geometry Express
Geometry Express is the newest addition to Praeter Software's award-winning line of educational mathematic calculation and teaching software for students and teachers.
Designed to help students and teachers visualize and demonstrate various calculations for different geometrical shapes, Geometry Express will show you, through live, instant calculation, how relationships between height, width, and radius determine and influence the area and volume of different 2D and 3D geometric shapes.
Students can use it to aid their understanding through visual cues of every step in the process of geometrical calculation, quickly see how the different variables relate, and to check their homework.
Teachers can use Geometry Express to quickly and easily demonstrate every aspect of various geometrical calculations to a class, and to check homework.
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5/5
Version 1.0
Review by sheff555
Awesome App -
Needed a quick geo calc for a video game project, and the visualizations were a nice touch. Cheers!
Found helpful by 6 out of 7 people
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1/5
Version 1.0.1
Review by Kerry Dubbert
Pointless -
This application is pointless. It should be free if even that. DO NOT GET IT. | 677.169 | 1 |
The subject of data fitting bridges many disciplines, especially those traditionally dealing with statistics like physics, mathematics, engineering, biology, economy, or psychology, but also more recent fields like computer vision. This book addresses itself to engineers and computer scientists or corresponding undergraduates who are interested in data fitting by the method of least-squares approximation, but have no or only limited pre-knowledge in this field. Experienced readers will find in it new ideas or might appreciate the book as a useful work of reference. Familiarity with basic linear algebra is helpful though not essential as the book includes a self-contained introduction and presents the method in a logical and accessible fashion. The primary goal of the text is to explain how data fitting via least squares works. The reader will find that the emphasis of the book is on practical matters, not on theoretical problems. In addition, the book enables the reader to design own software implementations with application-specific model functions based on the comprehensive discussion of several examples. The text is accompanied with working source code in ANSI-C for fitting with weighted least squares including outlier detection. Among others the book covers following topics * fitting of linear and nonlinear functions with one- or multi-dimensional variables * weighted least-squares * outlier detection * evaluation of the fitting results * different optimisation strategies * combined fitting of different model functions * total least-squares approach with multi-dimensional conditions
"Sinopsis" puede pertenecer a otra edición de este libro.
Book Description:
Suitable for beginners in this field
From the Author:
New at least-squares approximation? Then give this textbook a try! You will find the solution for data-fitting problems in the beginning of the book. Linear and nonlinear problems are treated jointly. The more you want to learn, the deeper you have to dive into the book. You will find the theory behind the method of least squares as well as the details of modern numerical algorithms. Espacially the latter distinguishes "Data fitting and Uncertainty" from older texts. All discussed techniques rest on an implementation in working source code (ANSI-C), which is provided with the book. | 677.169 | 1 |
Limits, Limits Everywhere: The Tools of Mathematical Analysis
"Limits, limits everywhere" is not a usual popular book on Mathematics nor a traditional analysis textbook of definitions, theorems and proofs. The author is able to mix both styles relating informal language to mathematical language and giving proofs that are deep but easy to read and follow.
The book focuses on the explanation of one of the most fundamental concepts of mathematical analysis, the concept of limits. The book's first part deals with the concepts of integer, prime, rational and real numbers, inequalities, limits, bounded sequences, and infinity series. The second part explains the special numbers e, π, and γ, infinite products, continued fractions, Cantor's different types of infinities, and the constructions of the real numbers. Throughout the book, there are some brief history remarks that explain why and for what these mathematical tools are necessary.
This is a well-written book with a style that is easy to read and follow, which can be recommended for undergraduate students interested in finding out more about Mathematics.
Reviewer:
Luis Sanchez-Gonzalez
Affiliation:
Universidad Complutense de Madrid
Book details
This book is an introductory course on mathematical analysis, which focuses on the explanation of one of the most fundamental concepts of mathematical analysis, the concept of limits. The author is able to mix both styles relating informal language to mathematical language and giving proofs that are deep but easy to read and follow. | 677.169 | 1 |
Maths tuition
Revision materials for EdExcel 9-1 GCSE Maths
Don't rely on old GCSE revision guides hanging around the house for the new, tougher GCSE maths! The "9-1" specification has replaced letter grades (A* to G) with numbers, but this isn't the only change — new topics have come in, others have been dropped, and the style of questions now puts greater focus on problem-solving. Here I take a look at some extra practice material now available , firstly from the perspective of parents wanting to give their children some more structure and support for their revision, and towards the bottom of the review there are particular recommendations for homeschooling.
EdExcel produce a blue-covered official Higher Tier revision guide which I strongly recommend. (There's also an equivalent green Foundation tier revision guide — check with school or college to see which tier is appropriate for you.) The guide is well-organised and clearly structured, showing which grade each part of the book is pitched at: to aim for a 7, you can safely ignore most 8 and 9 topics but it's vital to master the grade 5, 6 and 7 content. There are useful summaries and diagrams, and example questions that highlight common mistakes.
It's an excellent book to recap from, as well as to organise revision around — it is easy to sort out what topics need more work, and ensure no topics are left out. Explanations are clear, but also short, so they work better as reminders rather than explaining something for the first time. If you need a book to learn topics from, not just revise them, or you need more of a refresher (e.g. if resitting GCSE after many years) then you should also invest in a good textbook.
Working through a revision guide consolidates key knowledge but can't give vital practice for the exam — to secure your knowledge you need a source of questions to work through. This is where a revision workbook comes in handy to supplement past papers. The official EdExcel workbook closely matches the revision guide so they make a useful pair. There's no need to work all the way through it, but to get up to exam standard on a weak area, it's often worth targeting all questions in a section. Again, there is an equivalent green-covered Foundation tier workbook.
EdExcel also produce exam paper packs for both Higher tier and Foundation tier. While dozens of past papers are freely available online, they are almost all for the old syllabus and outdated! These papers have been written in the style of the new exams. Eventually there will be a good selection of 9-1 papers on the internet but until then these past paper packs are a useful alternative and I will recommend them, particularly for the later stages of revision. Helpfully they include full worked solutions, which are much easier to follow than the markschemes for most past papers online.
A popular alternative to the official books are the CGP guides, again available for Higher or Foundation. Students often find them simpler and more engaging than EdExcel's — partly due to the humour, partly the step-by-way way topics are broken down.
These "Complete Revision and Practice" books contain revision summaries but also practice papers and worked solutions, though I felt EdExcel's practice exams are more realistic. I'm not convinced CGP have got the balance quite right between keeping the book accessible, and preparing students for how tough the exam will be at the very highest grade levels, so students aiming for higher grades may be better to use EdExcel's books. In fairness, CGP attempt to redress things with a separate Grade 9 Targeted Exam Practice Workbook that concentrates entirely on the very hardest type of questions. For someone whose target grade is 8/9, this is the only CGP book I would recommend.
What if someone needs lots of practice questions to gain skills and confidence? This is a common problem for homeschooled students, but also applies to anybody starting GCSE revision or tuition more than 12 months before the exam. Revision workbooks and past papers would run out far too soon. CGP usually publish slim revision guides, but they now publish far thicker entire coursebooks for GCSE and IGCSE (also available in green for Foundation tier).
For me, it doesn't have enough explanations to be a good standalone textbook (the CGP revision guide can be a useful supplement to make up for this), but is an excellent source of practice questions. While most books with this many questions make them very repetitive, suggesting they were written in a lazy "copy and paste" way, this book impressed with the variety and ingenuity of its questions. Whenever I want an example of "what if the examiner changes the question around, and asks it this way instead?" there seems to be a variation of it here. A student with time to work through it has the chance to gain real mastery. You just have to be selective about which exercises and questions to take on — partly because there are so many of them, partly because some are based on the international IGCSE content which isn't in the standard British GCSE. Overall this book has received strong praise from other tutors on its Amazon reviews. If I've got a year or two to prepare someone for GCSE, this would be my go-to book. Just don't buy it as part of a last-minute revision panic! | 677.169 | 1 |
The Everything Guide to Algebra
A Step-by-step Guide to the Basics of Algebra-- in Plain English!
Whether you need help solving equations or determining the slope of a line, this guide gives you the tools you need to find your answers! Beginning with the basics, you will learn and practice all the skills needed to enhance your algebra expertise. | 677.169 | 1 |
A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought.
The only way to understand mathematics is by doing mathematics. TheApplicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a...
Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical...
Type-2 fuzzy sets extend both ordinary and interval-valued fuzzy sets to allow distributions, rather than single values, as degrees of membership. Computations with these truth values are governed by the truth value algebra of type-2 fuzzy sets. The Truth Value Algebra of Type-2 Fuzzy Sets: OrderAccessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually...
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also...
Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, Application of Fuzzy Logic to Social Choice Theory provides a comprehensive study of fuzzy social choice...
Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.
Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive | 677.169 | 1 |
Honours Toolkit
The Honours toolkit is a series of 3 workshops in Surviving, Understanding, and Mastering Honours Mathematics. You don't need to attend all three, you can go to any workshop you find interesting. Each workshop is run twice, so you have a choice of two possible slots.
Surviving
Week 3: Wednesday 4th Oct 3 – 4pm OR Thursday 5th Oct 3 – 4pm
An interactive, practical workshop to develop the skills needed to survive Honours Mathematics. This workshop is primarily for Junior Honours (but Senior Honours are welcome, if they think it will be useful!). Questions answered in the workshop:
How can you read Mathematics critically?
How can you write Mathematics clearly and concisely, to maximise your grades?
What are the common types of questions, theorems, and proofs that come up in Honours Maths?
How do I manage my time when I have a demanding Honours schedule?
What are the overall themes across all Honours modules? How can I use this to benefit my study?
How do I go beyond set questions and lecture notes to gain a deeper knowledge of the subject?
How can forming a study group and working collaboratively help me?
Understanding
The Understanding workshops are run once for each sub-discipline within the school: Pure, Applied, and Statistics.
You can attend only one or more than one, as many as you like.
These workshops will address skills specific to each sub-discipline.
Applied Mathematics : Tuesday 10th Oct 3 – 4pm
Learn the skills to see Mathematics in real world problems, to perform efficient computations, and to appreciate the techniques used in fluid dynamics, solar theory, and mathematical biology.
Mastering
Week 5: Wednesday 18th Oct 3 – 4pm OR Thursday 19th 3 – 4pm
To Master Honours mathematics you need to the best use of your study materials you can, go into exams confidant and prepared, and, create a good-quality dissertation.
This workshop deals with the skills needed to do achieve the degree you deserve. Questions answered in this workshop:
How can I use my lecture notes, tutorial questions, and past exam papers to maximise the grades I achieve?
How can I dissect exam questions and find out what they are asking me to do?
How can I structure, clearly and methodically, exam solutions in a time-pressured environment?
How can I approach problems I have never seen before with a strategy and with confidance? | 677.169 | 1 |
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Synopsis: "Kline is a first-class teacher and an able writer. . . . This is an enlarging and a brilliant book." ― Scientific American "Dr. Morris Kline has succeeded brilliantly in explaining the nature of much that is basic in math, and how it is used in science." ― San Francisco ChronicleSince the major branches of mathematics grew and expanded in conjunction with science, the most effective way to appreciate and understand mathematics is in terms of the study of nature. Unfortunately, the relationship of mathematics to the study of nature is neglected in dry, technique-oriented textbooks, and it has remained for Professor Morris Kline to describe the simultaneous growth of mathematics and the physical sciences in this remarkable book.In a manner that reflects both erudition and enthusiasm, the author provides a stimulating account of the development of basic mathematics from arithmetic, algebra, geometry, and trigonometry, to calculus, differential equations, and the non-Euclidean geometries. At the same time, Dr. Kline shows how mathematics is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, and other phenomena. Historical and biographical materials are also included, while mathematical notation has been kept to a minimum. This is an excellent presentation of mathematical ideas from the time of the Greeks to the modern era. It will be of great interest to the mathematically inclined high school and college student, as well as to any reader who wants to understand ― perhaps for the first time ― the true greatness of mathematical achievements.
Book Description Dover Publications15585
Book Description Dover Publications, 1981. Paperback. Book Condition: UsedGood. The book is in overall good condition!! Cover shows some edge wear and corners are lightly worn. Pages show MAY show some Underlining/highlighting.If you are not happy with your product, contact us before leaving feedback and we will make it right! Fast shipping. No Hassle Return Policy. Please contact us immediately for any discrepancy with any order. Bookseller Inventory # 014640
Book Description Dover Publications, 1981. Paperback. Book Condition: Used: Very Good. A trade paperback in excellent condition, clean with a tight binding and an unmarked text.From a private smoke free collection.Shipping within 24 hours, with a tracking number and delivery confirmation. Bookseller Inventory # AMABOX71-527o | 677.169 | 1 |
If you want top grades and thorough understanding of feedback and control systems—both analog and digital—in less study time, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you accompanying problems with fully worked solutions—plus hundreds of additional problems with answers at the end of chapters, so you can measure your progress. You also get the benefit of clear, detailed illustrations. Famous for their clarity, wealth of illustrations and examples—and lack of tedious detail—Schaum's Outlines have sold more than 30 million copies worldwide. This guide will show you why!
Study faster, learn better, and get top grades! Here is the ideal review for your feedback and control systems course More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by a renowned expert in this field, Schaum's Outline of Feedback and Control Systems covers what you need to know for your course and, more important, your exams. Step-by-step, the author walks you through coming up with solutions to exercises in this topic. Features: 700 solved problems Exercises to help you test your mastery of feedback and control systems Problem-solving videos available online and embedded in the ebook version Support for all the bestselling textbooks in feedback and control systems
Schaum s Outline of Theory and Problems of Feedback and Control Systems has been writing in one form or another for most of life. You can find so many inspiration from Schaum s Outline of Theory and Problems of Feedback and Control Systems also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Schaum s Outline of Theory and Problems of Feedback and Control Systems book for free.
Confused by the math of business and economics? Problem solved. Schaum's Outline of Mathematical Methods for Business and Economics reviews the mathematical tools, topics, and techniques essential for success in business and economics today. The theory and solved problem format of each chapter provides concise explanations illustrated by examples, plus numerous problems with fully worked-out solutions. And you don't have to know advanced math beyond what you learned high school. The pedagogy enables you to progress at your own pace and adapt the book to your own needsStudents will quickly understand the popularity of this helpful sourcebook--the first edition sold 46,000 copies! The chief emphasis is on solving realistic problems, hundreds of which are included with detailed solutions. This popular study guide concisely yet clearly covers all the areas taught in two-semester survey courses and serves as an ideal review for electrical engineers and others looking for high ratings on the Professional Engineer's ExaminationThe ideal review for yourory and Problems of Feedback and Control Systems has been writing in one form or another for most of life. You can find so many inspiration from Theory and Problems of Feedback and Control Systems also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Theory and Problems of Feedback and Control Systems book for free | 677.169 | 1 |
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Revive your algebra skills at Khan Academy
American educator Salman Khan, a graduate of MIT and Harvard, started the Khan Academy in 2006 for the purpose of making "a free, world-class education available for anyone, anywhere." Khan, a mathematician by training, features videos of an electronic blackboard on which he works out math problems while explaining them in voice-over. His site has expanded its offerings until now it not only hosts lessons in math, but also computer programming, economics and even art history. Site registration is free, and those who complete courses can earn "badges" for their accomplishments. The lessons are aimed at a college preparatory level. Still, if I had to brush up my algebra, I would click right in to Khan Academy. Khan Academy lessons are available through free apps, too.
Irene E. McDermott
Irene McDermott is a writer and librarian in California. Read her latest book, The Internet Book of Life, available through Amazon and the publisher: | 677.169 | 1 |
The publication contains solicited articles from a decide upon crew of mathematicians and physicists operating on the interface among positivity and the geometry, combinatorics or research of polynomials of 1 or a number of variables. it truly is devoted to the reminiscence of Julius Borcea (1968-2009), a wonderful mathematician, Professor on the collage of Stockholm. along with his super unique contributions and huge imaginative and prescient, his influence at the issues of the deliberate quantity can't be underestimated. All participants knew or have exchanged principles with Dr. Borcea, and their articles mirror, not less than in part, his heritage.
February 16, 2017adminComments Off on Download E-books Groovy Geometry: Games and Activities That Make Math Easy and Fun PDF
By Lynette Long
Do not simply examine Geometry...Master It!
Brimming with enjoyable and academic video games and actions, the paranormal Math sequence offers every little thing you want to understand to turn into a grasp of arithmetic! In every one of those books, Lynette lengthy makes use of her precise kind that can assist you really comprehend mathematical suggestions as you employ universal items comparable to cards, cube, cash, and each mathematician's simple instruments: paper and pencil.
within Groovy Geometry, you can find the entire geometry fundamentals, plus info on find out how to work out the peak of any item from its shadow, locate distances "as the crow flies," estimate the world of any house, and lots more and plenty extra. when you play the identify video game and Rectangle Race, you will the best way to draw, degree, and determine other forms of angles, triangles, and quadrilaterals. And with enjoyable actions like Bull's Eye and Pizza social gathering, you are going to perform plotting coordinate issues on a graph and measuring the world and diameter of a circle. most vital, you will have a good time doing it!
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Differential types on Singular types: De Rham and Hodge conception Simplified makes use of complexes of differential types to offer an entire remedy of the Deligne idea of combined Hodge constructions at the cohomology of singular areas. This publication positive factors an method that employs recursive arguments on measurement and doesn't introduce areas of upper size than the preliminary house. It simplifies the idea via simply identifiable and well-defined weight filtrations. It additionally avoids dialogue of cohomological descent concept to take care of accessibility. themes contain classical Hodge conception, differential varieties on advanced areas, and combined Hodge buildings on noncompact areas.
This exposition presents the state-of-the artwork at the differential geometry of hypersurfaces in genuine, complicated, and quaternionic area varieties. unique emphasis is put on isoparametric and Dupin hypersurfaces in actual house kinds in addition to Hopf hypersurfaces in advanced house varieties. The publication is on the market to a reader who has accomplished a one-year graduate path in differential geometry. The textual content, together with open difficulties and an in depth record of references, is a wonderful source for researchers during this area.
Geometry of Hypersurfaces starts off with the fundamental concept of submanifolds in genuine house types. subject matters contain form operators, primary curvatures and foliations, tubes and parallel hypersurfaces, curvature spheres and focal submanifolds. the focal point then turns to the idea of isoparametric hypersurfaces in spheres. vital examples and category effects are given, together with the development of isoparametric hypersurfaces in line with representations of Clifford algebras. An in-depth therapy of Dupin hypersurfaces follows with effects which are proved within the context of Lie sphere geometry in addition to those who are got utilizing ordinary equipment of submanifold conception. subsequent comes an intensive remedy of the idea of genuine hypersurfaces in advanced house forms. A valuable concentration is a whole facts of the type of Hopf hypersurfaces with consistent imperative curvatures as a result of Kimura and Berndt. The e-book concludes with the elemental concept of genuine hypersurfaces in quaternionic area kinds, together with statements of the most important type effects and instructions for extra research.
This quantity includes sixteen rigorously refereed articles via contributors within the precise consultation on genuine Algebraic Geometry and Ordered Algebraic buildings on the Sectional assembly of the AMS in Baton Rouge, April 1996, and the linked certain Semester within the spring of 1996 at Louisiana kingdom college and Southern college, Baton Rouge.The 23 members to this quantity have been one of the seventy five mathematicians from 15 nations who participated. the themes contain the topology of actual algebraic curves (Hilbert's sixteenth problem), moduli of genuine algebraic curves, powerful sums of squares of actual kinds (Hilbert's seventeenth problem), effective genuine quantifier removing, subanalytic units and stratifications, semialgebraic singularity idea, radial vector fields, exponential capabilities and valuations on nonarchimedean ordered fields, valued box extensions, in part ordered and lattice-ordered earrings, jewelry of continuing services, spectra of earrings, and summary areas of (higher-level) orderings and actual places.This quantity offers a great review of the cutting-edge during this region within the Nineties. It comprises either expository and unique learn papers via most sensible employees during this thriving box. The authors and editors strived to make the amount worthwhile to a large viewers (including scholars and researchers) attracted to actual algebraic geometry and ordered buildings - matters which are evidently comparable, yet seldom introduced jointly.
The connections among origami, arithmetic, technological know-how, know-how, and schooling were a subject matter of substantial curiosity now for numerous a long time. whereas many people have occurred upon discrete connections between those fields in the course of the 20th century, the sphere fairly took off while formerly remoted members started to strengthen connections with one another via a sequence of meetings exploring the hyperlinks among origami and "the outdoors world." The Fourth overseas assembly on Origami in technological know-how, arithmetic, and schooling (4OSME), held in September, 2006, on the California Institute of expertise in Pasadena, California, introduced jointly an unheard of variety of researchers proposing on issues starting from arithmetic, to know-how, to academic makes use of of origami, to fantastic artwork, and to laptop courses for the layout of origami. chosen papers according to talks awarded at that convention make up the ebook you carry on your palms.
When trying to find purposes of ring concept in geometry, one first thinks of algebraic geometry, which occasionally will even be interpreted because the concrete facet of commutative algebra. despite the fact that, this hugely de veloped department of arithmetic has been handled in numerous mono graphs, in order that - regardless of its technical complexity - it may be considered as particularly good available. whereas within the final a hundred and twenty years algebraic geometry has time and again attracted centred interes- which instantaneously has reached a height once again - , the various different purposes of ring idea in geometry haven't been assembled in a textbook and are scattered in lots of papers in the course of the literature, which makes it demanding for them to emerge from the shadow of the intense thought of algebraic geometry. it's the objective of those complaints to offer a unifying presentation of these geometrical functions of ring theo~y outdoors of algebraic geometry, and to teach that they provide a substantial wealth of beauti ful rules, too. additionally it turns into obvious that there are ordinary connections to many branches of contemporary arithmetic, e. g. to the idea of (algebraic) teams and of Jordan algebras, and to combinatorics. To make those feedback extra distinctive, we are going to now supply an outline of the contents. within the first bankruptcy, an method in the direction of a thought of non-commutative algebraic geometry is tried from various issues of view.
This e-book unravels the secret of Geometry in Origami with a distinct strategy: sixty four Polyhedra designs, each one made of a unmarried sq. sheet of paper, no cuts, no glue; every one polyhedron the most important attainable from the beginning dimension of sq. and every having an creative locking mechanism to carry its form.
the writer covers the 5 Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are abundant diversifications with assorted colour styles and sunken aspects. Dipyramids and Dimpled Dipyramids, unexplored earlier than this in Origami, also are coated. There are a complete of sixty four types within the publication. the entire designs have an engaging glance and a delightful folding series and are in accordance with special mathematical equations. | 677.169 | 1 |
Statistics is the second book in the Life of Fred University Mathematics Series, however, it can be used before calculus if desired; it provides one years' worth of college-level statistics. There is one half-chapter that does require calculus, but is not necessary to complete the course. Students should have basic knowledge of algebra; a very brief 5-question placement exam is provided at the beginning to test student familiarity with basic concepts. Eight chapters are included as well as a field guide. Within each chapter Your Turn to Play sections are provided, which give students the opportunity to practice new concepts with problems (and have completely worked-out solutions to check answers!) Six cities exercises are featured at the end of each chapter; sets are named after a city...
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Understandable Statistics - Charles Henry Brase is available now for quick shipment to any U.S. location! This is a high quality used book that is ready for prompt shipment to any U.S. Location. Over the years we have learned how to provid
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The Book of R: A First Course in Programming and Statistics FEATURES DESCRIPTION About the Author Tilman M. Davies is a lecturer at the University of Otago in New Zealand, where he teaches statistics and R at all university levels. He has been programming in R for 10 years and uses it in all of his coursesDvds For Brase/Brase's Understandable Statistics by Charles Henry Brase is available now for quick shipment to any U.S. location! This is a high quality used book that is ready for prompt shipment to any U.S. Location. Over the years we ha
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Research Methods and Statistics for Public and Nonprofit Administrators by Nishiba, Jones and Kraner and EXCEL Statistics 3rd ed.: A quick guide by Salkind. New and in the shrinkwrap Bundle 2 pack! Research Methods and Statistics for Public and Nonprofit Administrators: A Practical Guid e is a comprehensive, easy-to-read, core text that thoroughly prepares readers to apply research methods and data analysis to the professional environments of public and non-profit administration. The authors expertly incorporate original case examples to demonstrate concepts using three characters- Emily, Jim, and Mary-facing specific scena rios in which research methods must be applied. This unique approach is presented in language accessible to both students new to research as well...Understanding Basic Statistics - Charles Henry Brase is available now for quick shipment to any U.S. location! This is a high quality used book that is ready for prompt shipment to any U.S. Location. Over the years we have learned how to p
Statistics for People Who (Think They) Hate Statistics Description About the Author Neil J. Salkind received his PhD from the University of Maryland in Human Development, and after teaching for 35 years at the University of Kansas, he remains as a Professor Emeritus in the Department of Psychology and Research in Education, where he continues to collaborate with colleagues and work with students. His early interests were in the area of children's cognitive development, and after research in the areas of cognitive style and (what was then known as) hyperactivity, he was a postdoctoral fellow at the University of North Carolina's Bush Center for Child and Family Policy. His work then changed direction and the focus was on child and family policy, specifically the impact of alternative forms...
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How to Lie with Statistics Product Features Product Description There is terror in numbers, writes Darrell Huff in How to Lie with Statistics. And nowhere does this terror translate to blind acceptance of authority more than in the slippery world of averages, correlations, graphs, and trends. Huff sought to break through the daze that follows the collision of statistics with the human mind The secret language of statistics, so appealing in a fact-minded culture, is employed to sensationalize, inflate,...
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Probability and Statistics for Engineers Features: Product Details: Hardcover: 848 pages Publisher: Duxbury Press; 5th edition (June 22, 2010) Language: English ISBN-10: 0534403026 ISBN-13: 978-0534403027 Product Dimensions: 1.5 x 8.2 x 10 inches Shipping Weight: 3.8 pounds Description: About the Author Richard...
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Statistics for the Utterly Confused, 2nd edition (Utterly Confused Series) by Ll , New, Free Shipping Statistics for the Utterly Confused, Second Edition When it comes to understanding statistics, even good students can be confused. Perfect for students in any introductory non-calculus-based statistics course, and equally useful to professionals working in the world, Statistics for the Utterly Confused is your ticket to success. Statistical concepts are explained step-by-step and applied to such diverse fields as business, economics, finance, and more. The message of Statistics for the Utterly Confused is simple: you don't have to be confused anymore. Updated and expanded to give you the latest changes in the field, this up-to-the-minute edition includes many new examples of Excel...
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Statistics: A Gentle Introduction by Frederick L. Coolidge, (Paperback), SAGE Pu , New, Free Shipping With Statistics: A Gentle Introduction, Third Edition, an introductory stats class needn't be difficult or dull! Frederick L. Coolidge specifically designed his text to curtail students' anxieties and minimize unnecessary formulas, while providing a comprehensive review of basic statistical designs and analyses. A wealth of additional real-world examples have been included to give a sense of how the science of statistics works, solves problems, and helps us make informed choices about the world we live in. The author minimizes the use of formulas, but provides a step-by-step approach to their solution, and includes a glossary of key terms, symbols, and definitions at the end of each...
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>This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books a la Carte also offer a great value--this format costs significantly less than a new textbook. Elementary Statistics: Picturing the World, Fifth Edition, offers our most accessible approach to statistics-more than 750 graphical displays that illustrate data, readers 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 student-friendly textbook for the Statistics 1 Module of A-Level Maths comprehensively covers the AQA exam specification. It contains straightforward, accessible notes explaining all the theory, backed up with useful step-by-step examples. There are practice questions throughout the book to test understanding, with recap and exam-style questions at the end of each section (detailed answers to all the questions are included at the back). Finally, there;s a CD-ROM containing two complete Statistics 1 practice exam papers - ideal to print out for realistic practice before the final tests.
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Henry V Of England Taking The Hand Of Catherine, Daughter Of Charles Vi Of France, Seen On Left. The Treaty Of Troye, 1420, Stipulated That Henry Would Marry Catherine. From A Nineteenth Century Engraving Henry V Of England Taking The Hand Of Catherine, Daughter Of Charles Vi Of France, Seen On Left. The Treaty Of Troye, 1420, Stipulated That Henry Would Marry Catherine. From A Nineteenth Century Engraving.Paper Size: inchesPublisher: Design PicsArtist: Ken Welsh / Design Pics
Emphasizing meaning and concepts, not just symbols and numbers Statistics for Psychology, 6th edition places definitional formulas center stage to emphasize the logic behind statistics and discourage rote memorization. Each procedure is explained in a direct, concise language and both verbally and numerically. My Learning Goals Upon completing this book, readers should be able to: * Know both definitional and numerical formulas and how to...
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Research Methods And Statistics In Criminal Justice by Jack Fitzgerald is available now for quick shipment to any US location. This 3rd edition book is in good condition or better. Just complete the checkout process for this book and it wi
Research Methods And Statistics by Bernard C. Beins is available now for quick shipment to any US location. This 2011 edition book is in good condition or better. Just complete the checkout process for this book and it will be shipped to y | 677.169 | 1 |
Techniques and applications of integration, etc.
This course is designed for students majoring in the mathematical and physical sciences, engineering, or mathematics education and for students minoring in mathematics or mathematics education. Calculus is the foundation for most of the mathematics studied at the university level. The mastery of calculus requires well-developed skills, clear conceptual understanding, and the ability to model phenomena in a variety of settings. Calculus 2 develops techniques of integration, applications of integration, infinite sequences and series, parametric curves, polar coordinates, and conic sections. This course contributes to all the expected learning outcomes of the Mathematics BS. For a more detailed course description, visit the Math 113 Wiki page. | 677.169 | 1 |
Basic rules of derivative
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Power Point presentation, 10 slides, Explaining how to find the derivative of the power function, the constant function, the multiple function and the sum or difference of functions, based on IB Mathematics Standard Level Syllabus. For a preview of the power point copy the following link on your browser: | 677.169 | 1 |
Math 104
Math Resource Center
Our Mission
At the Columbia College Math Resource Center (known as the Math Lab to many) we offer guidance in the world of mathematics. We welcome all levels of math to receive "helpful pushes" in the right direction as students gain knowledge and confidence in their own personal math skills and abilities. We offer a positive and supportive work environment where everyone has the opportunity to gain a stronger understanding of mathematics and how it is utilized in their every day lives. We also foster the idea of students collaborating with one another, however, individual questions can be fielded. Besides tutoring on a drop-in basis, we have many other useful resources available such as, Instructor's and Student's editions of all current math textbooks used on campus, a library of other excellent guides and textbooks, and access to graphing calculators and online computers. We encourage any student struggling, or not, of any level of mathematics to come and experience what we have to offer | 677.169 | 1 |
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College algebra consistently has a very high number of students performing poorly. An experimental study addressing student performance was conducted. Two college algebra classes each with 25 students and with the same teacher were used, one as the control group and the other as the experimental group. The experimental class included mandatory supplemental instruction for an extra class period per week. T-tests were used to compare performances on each test and homework. A repeated measures 2 X 2 ANOVA was used to compare the students' performance on a pretest and a posttest between each class. The Mann-Whitney U test was used to compare final grade distributions. The results of the t-tests were not significantly different. The results of the repeated measures 2 X 2 ANOVA indicate that there was not a significant difference between the two classes' performance. Finally, the Mann-Whitney U test showed that there was not a significant difference between the final grade distributions. | 677.169 | 1 |
In the paper, we propose the topic "Quaternions" to be taught at the lesson on the optional course of higher mathematics to university students who study programming. Briefly following historical facts about invention of quaternions we mention some applications of them in modern science. In particular, we explain how the rotation in three-dimensional space can be described by means of quaternions. This is widely used in computer graphics. The appropriate mathematical background is given to the extent which, on authors' opinion, is sufficient to make interest for future specialists. In the main part of the paper we give formal mathematical definition of quaternion, consider its various interpretations, and introduce operations with quaternions. The article has a methodological nature. | 677.169 | 1 |
Differential and Integral Calculus
This book is designed to serve as a basic but full introduction to the field of differential and integral calculus. It is a fine textbook for a two or three-semester course, especially as it contains review material on trigonometric, exponential and logarithmic fUnctions and highlights of plane and solid analytic geometry-prerequisites which may not have been previously covered by the student.
It is equally valuable as supplementary reading for classwork or as a self-instruction text. After establishing the basis for differential calculus in the first chapter, the author moves quickly to the discussion of integration of pOwer functions, leaving the more complex study of the definite integral regarded as the limit of a summation until later in the book. Among Other topics covered are parametric funCtions, force components in polar coordinates, Duhamel's theorem, extrema of functions of two or more variables, methods and applicalions of integration, infinite series, Taylor'S series, and multiple integrals. A chapter on vectors and surfaces in space is in line with the most modern approach to undergraduate teaching | 677.169 | 1 |
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GOOD: The pages are clean and the cover and spiral binding are in good condition. There is a slight tear in the top and bottom of the spiral holes which is not uncommon in books of this type. The CD-ROM has been opened. The reflective surface is free of scratches and ran quickly when tested.
Description
The Math 3 Teacher's Edition with CD-ROM contains 165 lessons with instructions for teaching with manipulatives which can be used to develop problem solving skills and a better understanding of the overall process being taught. BJU employs a spiral approach which includes review of previously taught materials and practice of new problems in the current chapter.
The CD-ROM contains a Teacher's Toolkit containing reproducible pages to use with the lessons and activity pages for reteaching and facts practice. The CD-ROM requires Adobe Acrobat for use.It is the purpose of this book to provide important advanced mathematical concepts and methods needed by engineers and scientists as well as mathematicians who are interested in the applications of their field."—M. R. Spiegel (from the Preface)
"The books in this series are designed to be useful tools for parents and teachers, both at home and in school. They are called resources to signal that they do not replace the regular local school curriculum but rather serve as aids to help children gain some of the important knowledge they will need to make progress in school and be effective in society." — From "The Nature of This Series" (page 6 | 677.169 | 1 |
86UCI The Power of Macroeconomics: Economic Principles in the Real World
Lec 09. International Trade and ProtectionismUCI The Power of Macroeconomics: Economic Principles in the Real World
Lec 09. International Trade and Protectionism 285 all students studying Art and Design, this interactive learning object examines the idea of conceptual art and explores the work of some well-known conceptual artists. Some illustrations and photographs are provided, as are links to related websites. An accompanying assessment tests and consolidates students' knowledge, and various additional tools are provided to enhance the user experience of the resource. These include a magnifying glass, calculator, notepad and colour changer free course explores reasons for studying mathematics practical applications of mathematical ideas and aims to help you to recognise mathematics when you come across it. It introduces the you to the graphics calculator and takes you through a series of exercises from the Calculator Book | 677.169 | 1 |
Accessible and motivating, this AQA Maths workbook provides high quality practice examples and is suitable for all ability levels and exams boards. Plenty of practice questions ensure that students are thoroughly prepared for the exam when it comes. All key concepts and skills are covered in this clear and user-friendly AQA Maths higher tier workbook. GCSE-style practice questions reinforce understanding and help students prepare for the exam with confidence. Included in this book: * Invaluable tips to help students pick up all available marks * Advice to help students avoid common mistakes * Plenty of practice questions * Examiners' advice | 677.169 | 1 |
My Courses
I get it. Watching math videos is a great way to learn if you know what you are looking for. However it can take a while to find the right video or the right explanation. Sometimes it is too short sometimes you need something longer. My courses below provide a mix of videos from explaining the understanding to working through multiple examples. Rather than have to search for what you need. Every video is organized right for you. Practice what you learn with multiple worksheets and test your skills with online quizzes. If taking one of my courses does not help you with your understanding, you get your money back.
Definition and Process Videos– Short concise videos explaining the overall process as well as essential definitions that will be used throughout the course
Example Videos – For each major process I will work through multiple examples. Depending on the variety of the topic I will choose 2-12 different types of problems with varying difficulties. In total I work through over 100 examples per course
Practice Problems – Hate the feeling of understanding something and then trying on your own only to forget. It takes practice. Each course provides practice worksheets and their answers for you to practice your before moving on to the next topic
Quizzes – Don't worry these are not worth a grade. Each course will have 10-15 different quizzes for you to test your skills as you work through the course. Don't do so well? No worries, take each quiz as many times as you need.
100% Money Back Guarantee – I decided I needed to make courses for those students that needed more than free math videos. I wish I could make more courses but it takes a lot of time to create a course. I still am a full time teacher and father. I am in the business of helping others. If you do not feel your money is well with any of these course then I am happy to return your money.
We will learn how to identify the parts, graph and write the equation for a parabola, circle, ellipse, and hyperbola. We will complete the square and learn how to classify Conic Sections based on the equation of their graph.
Want To Learn | 677.169 | 1 |
For undergraduate or graduate courses in Graph Theory in departments of mathematics or computer science.
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit for a complete list of titles.
This text offers a comprehensive and coherent introduction to the fundamental topics of graph theory. It includes basic algorithms and emphasizes the understanding and writing of proofs about graphs. Thought-provoking examples and exercises develop a thorough understanding of the structure of graphs and the techniques used to analyze problems. The first seven chapters form the basic course, with advanced material in Chapter 8.
Top customer reviews
I'm sure the quality of the content of this text will be just fine, but the paper is little better than newsprint. I certainly would not have paid $100 for this book had I known it was such low quality. It is certainly not built to last, which is not what one would expect of a text considered to be one of the top references in the discipline. | 677.169 | 1 |
meets the demand for courses that emphasize problem solving, modeling, and real-world applications for business and the life sciences. The authors provide a firm foundation in algebraic concepts and prompt students to apply their understanding to relevant examples and applications they are likely to encounter in college or in their careers. The program addresses the needs of students at all levels—and in particular those who may have struggled in previous algebra courses—offering an abundance of examples and exercises that reinforce concepts and make learning more dynamic. The early introduction of functions in Chapter 1 ensures compatibility with syllabi and provides a framework for student learning. Optional Discovery and Exploration activities are integrated throughout the text; instructors can also opt to use graphing technology as a tool for problem solving and review or retention. ThisFeatures
ThisMake a Decision multi-step exercises with open-ended questions reinforce students' problem-solving skills by taking real-life applications further, testing what students know about a given problem and prompting them to make decisions within the context of that problem.
Business Capsules focus on business situations at actual companies, while Extended Applications—available online—require students to work with large data sets in depth, often creating or analyzing models.
Discovery activities provide opportunities for students to use techniques such as visualization and modeling to develop their intuitive understanding of concepts.
Chapter Projects extend the applications featured at the beginning of the chapter and guide students through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze data | 677.169 | 1 |
Friday, November 30, 2007
Publisher: Newnes Language: English ISBN: 0750685557 Paperback: 584 pages Data: Oct 2007 Format: PDF Description: John Bird's approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the mathematics engineering students need to master. The book presents a logical topic progression, rather than following the structure of a particular syllabus and is suitable for all Level 3 vocational students and first year undergraduates in Engineering. However, coverage has been carefully matched to the mathematics units within the 2007 BTEC National specifications | 677.169 | 1 |
Preparing for Post-Secondary Math
In this quarter length class, students learn and practice skills needed for future math classes, college entrance and placement tests, and life beyond high school. It focuses on some of the most important concepts that are essential pieces in your math toolkit! Focus will be placed on understanding why and how math works, not simply on computing answers. Story problems, articles, and exploration will regularly be used to see how math connects to life.
Topics covered include:
Fractions
Percentages
Solving algebra equations
Area, volume and analyzing data
Course materials: There is no textbook for this course. Students will be provided with online resources including notes, videos and tutorials.
Standards Met: This course does not fully meet high school math standards. It addresses portions of the Algebra and Geometry and Measurement standards. Elective credit will be awarded for this class | 677.169 | 1 |
Official Course Description:
Dynamical systems is an interesting subject which links pure mathematics with applications in physics, biology, electrical engineering, and others. The course will furnish a systematic introduction to ordinary differential equations in one and several variables, focusing more on qualitative aspects of solutions than on explicit solution formulas in those fifteen and a half cases where such exist. It will be shown how simple differential equations can lead to complicated and interesting, often ``chaotic'' dynamical behavior, and that such arise naturally in the ``real world''. We will also discuss time-discrete dynamical systems (iteration theory) with its relations and differences to differential equations. | 677.169 | 1 |
FTCE has been writing in one form or another for most of life. You can find so many inspiration from FTCE also informative, and entertaining. Click DOWNLOAD or Read Online button to get full FTCE book for freeTake it step-by-step for math success! The quickest route to learning a subject is through a solid grounding in the basics. So what you won't find in Easy Mathematics Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques. This book features: Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties Stay-in-step panels show how to cope with variations to the core steps Step-it-up exercises link practice to the core steps already presented Missteps and stumbles highlight common errors to avoid You can master math as long as you take it Step-by-StepFlorida Educational Leadership Examination Fele has been writing in one form or another for most of life. You can find so many inspiration from Florida Educational Leadership Examination Fele also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Florida Educational Leadership Examination Fele | 677.169 | 1 |
takes a fresh, student-oriented approach to teaching the material covered in the senior- and first-year graduate-level matrix structural analysis course. Unlike traditional texts for this course that are difficult to read, Kassimali takes special care to provide understandable and exceptionally clear explanations of concepts, step-by-step procedures for analysis, flowcharts, and interesting and modern examples, producing a technically and mathematically accurate presentation of the subjectFeatures
The format of the book is flexible enough to enable instructors to emphasize topics that are consistent with the goals of the course.
Windows-based software for analysis of two- and three-dimensional framed structures is available for downloading by the users of the book.
Each chapter begins with an introduction defining its objectives, and ends with a summary reviewing its salient features.
Throughout the book, all relationships necessary for the matrix stiffness analysis are formulated using the basic principles of the mechanics of deformable bodies. Thus, a prior knowledge of the classical methods of structural analysis is not essential for understanding the material presented in this book.
Basic stiffness relations are derived using both the traditional mechanics of materials principles and the finite element approach (via the principle of virtual work) to familiarize the students with the finite element terminology (e.g., shape functions, etc.) that they will encounter in advanced level courses. | 677.169 | 1 |
HS Math
Description
This secondary mathematics project is designed to build teacher engagement with, understanding of, and implementation of Standards of Mathematical Practice and regular use of formative assessment as a tool to guide instruction through and in-depth conceptual focus built around the secondary Algebra, Functions, and Statistics & Probability categories of ACCR-M Standards.
This course focuses on:
Conceptual understanding and application of expressions, equations and inequalities as groundwork that leads to conceptual explorations and investigations of functions and modeling;
Examinations of definitions and characteristics of families of functions with an emphasis on multiple representations and authentic applications;
Development of tools and skills for conducting experiments, analyzing data, and making informed decisions using statistical methods;
The use of technology tools such as graphing calculators, online applets and an interactive whiteboard to further promote understanding and applications of functions in real world contexts;
Development of the Standards of Mathematical Practice to promote authentic engagement in the teaching and learning of mathematics; and | 677.169 | 1 |
978156367ics for Retail Buying
Mathematics for Retail Buying, 8th Edition, introduces merchandising and retailing students to the most important concepts in retail math through step-by-step examples with practice problems and solutions. Coverage begins with the skeletal profit and loss statement, and moves through retail pricing and repricing of merchandise, markups, markdowns, the retail method of inventory, six-month, and assortment planning. This extensively updated edition introduces a new co-author and a practical approach that incorporates actual retail scenarios and concepts that are relevant to the fashion industry today. The book has been reorganized into six chapters, each covering a mathematical factor that affects the gross margin and profitability key to the success of any merchandise buyer or planner. The new edition also integrates current retail business metrics and an increased focus on the six-month planning process, including a new assortment planning section with examples.
New to This Edition: - Reorganized Chapters 1 and 6 reflect the order of prior editions and open the textbook with the discussion of merchandising for profit and profit and loss concepts - Chapter 5, Six-Month Planning and Components, expanded to include more coverage of assortment planning with a new "Formulating a Six-Month Plan" case study - More than 50% of practice problems in each chapter are new or have been updated to reflect current industry practice - Includes 4 new case studies that illustrate practical retailing situations and common obstacles and difficulties encountered in real-life merchandising Features - All applicable concept problems are expressed in spreadsheet as well as traditional arithmetic format - Select Answers at the end of the book helps students check their understanding as they complete Practice Problems - Key Concept Formulas at the beginning of each chapter and a complete Glossary of Concept Formulas at the end of the book provide easy reference
Mathematics for Retail Buying STUDIO -Study smarter with self-quizzes featuring scored results and personalized study tips -Review concepts with flashcards of terms and definitions and key formulas -Practice your skills by computing Practice Problems from the text, now available digitally with formulas embedded in the Excel spreadsheets -Enhance your knowledge with additional real world case studies and activities15725 | 677.169 | 1 |
STAAR Review: Solving Systems
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this file type before downloading and/or purchasing.
2 MB
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This is a two-day review activity to prepare students for Solving Systems of Equations on the State of Texas STAAR test. The Algebra 1 STAAR typically has 5 questions (see my STAAR Analysis) over Systems of Equations on it and these questions are not the easiest. Therefore, this topic MUST be reviewed before the students take the test. This resource includes a comprehensive 2-day review over this topic.
The first day focuses on the solving techniques. Students are in groups of 4 to 5 and rotate through 6 stations to review solving by graphing, substitution, and elimination (including with multiplication). Key included. Actual STAAR questions are included for free to use as homework to supplement the review.
The second day focuses on solving systems word problems. The review begins first by setting up systems of equations through pictures. Then this concept is extended to similar word problems without pictures. Finally, the review ends with a PowerPoint Activity introducing the concept of "finding two numbers" problems. This, then leads into a group activity that helps students work together to solve these kinds of word problems.
Check out my Systems Word Problems Mini-Bundle for more information concerning this day of the review. This STAAR review contains abbreviated versions of all of the resources found in this mini-bundle. Key included. A second double sided page of actual STAAR questions is included for free to use as practice on the concept. | 677.169 | 1 |
immediately follow each question--so everything you need is right there at your fingertips sections: Number Sense and Operations Algebra Geometry Measurement Statistics and ProbabilityCollege Algebra: Graphs and Models, 2/e covers college-level algebra and is appropriate for a one-term, graphing calculator required, college algebra course. A course in intermediate algebra is a prerequisite for the text, although Chapter R provides sufficient review to unify the diverse backgrounds of most students. The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible.
This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books a la Carte also offer a great value-this format costs significantly less than a new textbook. Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources (available separately). This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successfulAmsco s Algebra 2 and Trigonometry has been writing in one form or another for most of life. You can find so many inspiration from Amsco s Algebra 2 and Trigonometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Amsco s Algebra 2 and Trigonometry book for free.
Steadfast Support for Your Evolving Course. Essentials of College Algebra, Eleventh Edition, by Lial, Hornsby, Schneider, and Daniels, develops both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Eleventh Edition, the authors have adapted and updated the program for the evolving student, New co-author Callie Daniels brings her experience with traditional, hybrid, and online courses, to create a suite of resources to support today's learners. This program provides a better teaching and learning experience–for you and your students. Here's how: Support for learning concepts: a systematic approach is used to present each topic, and is designed to actively engage students in the learning process. The variety of exercise types promotes understanding of the concepts and reduces the opportunity for rote memorization. Support for review and test preparation: ample opportunities for review are interspersed throughout and at the end of chapters. MyMathLab® is not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information. MyMathLab is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts than | 677.169 | 1 |
Function Operations and Compositions Student Notes and Practice
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this file type before downloading and/or purchasing.
5 MB|12 pages
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Product Description
Operations on Functions and Compositions of Functions Student Notes and Practice to complement the Relations Unit. Student Notes work well as guided instruction with the teacher providing examples of how to perform each operation (addition, subtraction, multiplication, division and composition. Using the examples from their Notes, students will practice 10 problems to demonstrate understanding. Suitable for advanced Algebra 1 or Algebra 2. | 677.169 | 1 |
Showing 1 to 8 of 8
Darren Dowdy II
Professor DeFrank
Dialogue
Rough Draft
11/26/16
Meeting at the Bar
After sitting down and writing another article on the importance of reality tv and how it
connects to real life issues, Rachel Dubrofsky decided to go to the bar. Ironicall
MATH Algebra Advice
Showing 1 to 3 of 3
This course taught an intermediate level of algebra, covering a wide array of topics, and was formatted in a way that was efficient and easy to understand.
Course highlights:
This is a fantastic course. It is a requirement, however it is valuable knowledge. The teacher is not the friendliest person, but she is a WONDERFUL math teacher.
Hours per week:
0-2 hours
Advice for students:
Study! If you want to pass, you MUST do outside work and practice your skills.
Course Term:Fall 2015
Professor:Ms. Rathee
Course Required?Yes
Course Tags:Math-heavyAlways Do the ReadingParticipation Counts
May 01, 2016
| Would highly recommend.
Pretty easy, overall.
Course Overview:
I feel her teaching methods were very easy to understand. The concepts just got to me. This class was Algebra 2.
Course highlights:
The highlights of this course was the easy to follow instructions and the understanding of previous Algebra skills in order to understand new concepts. The main concepts taught in Algebra 2 is linear equations, inequalities, graphs, matrices, polynomials and radical expressions, quadratic equations, functions, exponential and logarithmic expressions, sequences and series, probability and trigonometry.
Hours per week:
3-5 hours
Advice for students:
If your looking to fufill your math requirement for Algebra, take this in sophomore year. The class is easy to follow and you get the concepts Mrs. Osborne teaches you. | 677.169 | 1 |
Synopsis
by Perry Seibert
The Math Video Tutor: Fractions Thru Algebra features over ten hours of math instruction on a variety of different topics. Fractions, exponents, algebra, solving equations, and polynomials are just some of the subjects that are explained and accompanied by practice problems. | 677.169 | 1 |
Interactive Educational Modules
in Scientific Computing
Trapezoid Method
This module illustrates the implicit trapezoid method for
numerically solving initial value problems for ordinary differential
equations. A numerical method for an ordinary differential equation
(ODE) generates an approximate solution step-by-step in discrete
increments across the interval of integration, in effect producing a
discrete sample of approximate values of the solution function. The
trapezoid method averages the Euler and
backward Euler methods, advancing the
approximate solution at each step along a line whose slope is the
arithmetic mean of the derivatives at its endpoints. Specifically,
from an approximate solution value yk at time
tk for an ODE y′ =
f(t, y), the trapezoid method approximates
the solution y(tk+1) at
time tk+1 = tk
+ hk by solving the implicit equation
yk+1 = yk +
hk [f(tk,
yk) + f(tk+1,
yk+1)] ⁄ 2 for
yk+1. Since this equation may be nonlinear,
solving it generally requires an iterative solution method. Both
functional iteration and Newton's method are provided as options for
solving the implicit equation, with a starting guess provided by the
explicit Euler's method. the trapezoid method. The
graphical display has two modes, a basic display for showing the
overall progress of the numerical solution of the ODE, and an alternate
display for showing the solution of the implicit equation at each
step:
In the basic display, seen initially, the exact solution to the initial
value problem and the portion of the approximate numerical solution
already computed are drawn in black. For each point of the approximate
numerical solution except the initial value, the exact solution to the
ODE that passes through that point is drawn in gray.
In the alternate display, the black point is the previous approximate
solution value and the red point is the next approximate solution
value, currently being determined. The exact solution to the ODE
passing through the known solution point is drawn in light blue, and
the tangent line at that point is shown in dark blue. The exact
solution to the ODE passing through the new solution point is drawn in
pink, and its tangent line is shown in red. A green line with slope
equal to the average of the endpoint derivatives is drawn through the
intersection of the tangent lines.
To perform a step of the trapezoid method, the user executes each
of four stages by clicking either Next or the currently
highlighted stage:
Using the slider, the user can select any desired size
hk for the step from
tk to
tk+1, subject to minimum and
maximum allowed values. The starting guess given by Euler's method
using the currently selected step size is shown in red, and it varies
as the step size varies. Once the user has set the slider for the
desired step size, this choice takes effect by clicking Choose Step
Size or Next, which causes the graph to change from the
basic to the alternate display in preparation for the next stage.
The next stage is to solve the implicit equation. The user chooses
either functional iteration or Newton's method and then performs one or
more iterations of the selected nonlinear equation solver by clicking
Iterate as many times as desired. Progress towards convergence
can be observed graphically, since at a solution to the implicit
equation, the black line segment connecting the approximate solution
points will be parallel to the green line. The residual (i.e., the
difference between the right and left sides of the implicit equation)
is printed below as another measure of convergence. Note
that the nonlinear equation methods may not always converge,
especially if the step size is too large. When the user is
satisfied with the convergence of the iterative solver, this stage is
terminated by clicking Solve Implicit Equation or Next,
which returns the graph to the basic display, preserving the new
solution point (changing it from red to black) and the exact solution
passing through it.
The current step is concluded by clicking Take Step or
Next, which prints in the table below the approximate and true
solution values at the new point and changes the color of the exact
solution to the ODE passing through the new solution point from pink
to gray | 677.169 | 1 |
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