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This book is about 3D math, the study of the mathematics behind the geometry of a 3D world. 3D math is related to computational geometry, which deals with solving geometric problems algorithmically. 3D math and computational geometry have applications in a wide variety of fields that use computers to model or reason about the world in 3D, such as graphics, games, simulation, robotics, virtual reality, and cinematography.
This book covers theory and practice in C++. The "theory" part is an explanation of the relationship between math and geometry in 3D. It also serves as a handy reference for techniques and equations. The "practice" part illustrates how these concepts can be applied in code. The programming language used is C++, but in principle, the theoretical techniques from this book can be applied in any programming language.
This book is not just about computer graphics, simulation, or even computational geometry.
However, if you plan to study those subjects, you will definitely need the information in this book.dfd4c4162600078e94be12a405133fcb98a16b88
Creation Date:
Tue, 30 Sep 2014 06:56:58 +0000
This is a Multifile Torrentepub 11.38jpg 105.78mobi 8.85opf 2.42pdf 12.32 | 677.169 | 1 |
Teach Pre-Calculus with Text Books
Updated on October 4, 2016
Teaching students pre-calculus can be quite challenging for parents or teachers. Tackling this challenge can be less time consuming and more organized by using a pre-calculus textbook. These specially designed textbooks give step-by-step instructions on how to tackle any pre-calculus equation as well as various examples. With a little planning, you can successfully teach anyone pre-calculus using a textbook.
Materials
Pre-Calculus textbook
Copy/Printing machine
Paper
Pencil
Create a lesson plan to teach an individual. Pre-calculus textbooks begin with basic equations and work up into more complex equations as you go into the book. Create an outline that begins with the first chapter and works towards the end.
Write your plan down on paper with a pencil. It is recommended to use a pencil in case you want to rewrite your work plan as you go.
Copy and print pages in each chapter that contain multiple problems. Textbooks spend the majority of pages explaining how to solve equations, which are generally followed by two to three pages of problems previously discussed.
Gather these prints from each chapter, collection as many pages that are provided in order to thoroughly cover every area of pre-calculus. Label each page with the chapter and section so you can distribute the work in order.
Work through each problem with the individual you are teaching in order to allow the person to comprehend the material. Work from page one, and write down each step as you go.
Complete sample equations as a team. By working out the problems together, you are able to spot and correct errors before the equation becomes too confusion. A lot of pre-calculus equations go wrong based on simple mathematical equation errors.
Distribute the copied and printed pages for the section you are covering. Allow the student to reference the book at any time necessary until they can complete the equations without it.
Check answers in the back of the textbook. Address any problem areas before continuing to the next section. | 677.169 | 1 |
ISBN: 9780521187121 Format: Book with Other Items Number Of Pages: 0 Published: 2 December 2011 Country of Publication: GB Description: This product is for STUDENTS who use Cambridge HOTmaths through their schools. It is not for individual purchase. If you have any questions or would like to purchase a teacher account, please contact Customer service on 1300 887 907.
Essential Mathematics for the Australian Curriculum has been developed by a team of highly experienced maths educators and proven authors to provide a complete teaching and learning program for the new curriculum. The logical and sequential development of topics encourages understanding, reduces lesson planning time, and allows the teaching program to be built around the textbook structure. It also ensures that students have covered prerequisite knowledge - including areas of maths that may or may not have been covered in primary school - before tackling new maths concepts. Complex probability and statistics concepts are covered accurately and at a level that is appropriate for students in junior and middle secondary. Diagnostic pre-tests at the start of each chapter help identify gaps in prerequisite knowledge while extensive chapter and semester reviews consoli | 677.169 | 1 |
The course decription at the Department's site describes this course as follows:
Integrates mathematics content with the opportunity to develop proof writing and communication skills important in the mathematical sciences. Content is drawn from discrete and foundational math and elementary analysis. Introduction to and engagement with written and verbal communication practices characteristic to mathematical sciences. Introduction to and use of technologies that support communication in the mathematical sciences.
Following up on the theme introduced in Math 187, this course will help you transition from computational to proof-based mathematics. Skill at computations is of course still essential. However, in deeper mathematical study, we ask broader questions, and require that the answers be justified by proofs. In this course we will practice proving theorems, and along the way we will participate in the whole mathematical process.
A key realization is that, in actual mathematical research, we are not told what statement to prove, but must instead ask good questions and investigate them methodically. Even if there is a statement we are interested in, we typically do not know whether it is indeed true. In this class we will get practical experience in discovery, conjecture, and exposition of mathematical truth. We will learn to gather data to inform our conjectures, usually with the aid of a computer program. In the process we will learn to distinguish between evidence and proof, and to use both in support of our statements.
In most classes, you are expected to work individually and you are assessed in a timed environment. In a CID course such as this one, we focus instead on the activities that actually take place in the discipline: collaboration with our peers, writing research papers, attending and giving talks, and so on. Accordingly, we will take a look at some of the key technologies that mathematicians use to carry out and share their work. There are many mathematical programming languages, but we will use Sage. We will typeset papers in LaTeX, and presentations in Beamer.
LaTeX
Please visit Sharelatex, where you can start practicing right away and work in groupsBeamer is a LaTeX documentclass designed especially for creating powerpoint-style presentations. The output is a pdf file that you can click through page-by-page while you speak. In the code, you simply enclose each slide within \begin{frame}{My Title} and \end{frame}. Inside, simply use the LaTeX commands that you are used to. The ultimate Beamer reference is the full user guide, but this may contain too much information, and to get started the less intimidating short intro (and its source) may be more useful.
Sage and python
Sage is a computer algebra system and programming language. In the long term, knowing it may be just as important and useful if not more than knowing LaTeX. While you are welcome to use any language you prefer, I recommend Sage because it is free to use online, and has been developed as open source software from the beginning. The recently developed Sage Cloud makes its use even more convenient.
When getting started, check out the guided tour or the introductory video series. There is also a nice web site for the nuts and bolts of Python at learnpython. You can start using Sage very quickly by logging into sagenb.org using your google mail account.
Grading
Your grade will be based on your in-class work, your written reports, and short oral presentations.
All of your time in-class will be devoted to our research projects. Come to class every day prepared to listen, think, and discuss mathematics with your group. Buy a notebook just for Math 287 and keep careful track of your thoughts and data. Assign yourself homework each class so you can bring new ideas to the next meeting. Since attendance and participation are crucial to your success, absences will lower your grade rapidly. [Documented absences are always excused, and you may have one or two free unexplained absences.]
At the end of each unit you will turn in a written article called a "lab report" that summarizes and explains the results of your activities. The majority of your grade will be based on these reports, each of which receives a letter grade.
You will also be asked to give several (typically very short) presentations on your work, individually or as a group. In total, these will be worth about the same as a lab report.
Further details will be provided once we get started.
Additional information will be posted in this blog, and students are encouraged to use the comments feature. Please use full names, which will simplify my life filtering spam out.
On occasion, I post links to supplementary material on Google+ and Twitter.
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One Response to 287 Communication in the mathematical sciences – Syllabus
[…] met Ian Cavey, an undergraduate at Boise State, about a year ago. He took my Communication in the mathematical sciences course. It was a pleasure to have him as a student. (You can see the slides of one of his group that | 677.169 | 1 |
Graph theory is a topic used in discrete mathematics to show networks and study relationships between objects in a more mathematical way. Graphs consists of a a set of vertices usually denoted \(V,\) and an sets of edges typically denoted \(E.\) Each edge in a graph connects the vertices. A graph \(G\) is defined as an ordered pair where \(G=\left(V,E\right).\)
There are a few concepts within graph theory that include walks, paths, trails and cycles. A walk on a graph is defined as a sequence of adjacent vertices where repetition is allowed. A path is a walk, however, no vertices can be repeated in this case. Notice that within these two concepts, it is known that if a walk exists between \(x\) and \(y\), then a path also exists from \(x\) to \(y.\) Next, a trial is defined as a walk that has no repeated edges and a trail may be closed if it starts and ends with the same vertex. A cycle is a closed trail that does not have any repeated vertices besides their endpoints.
In addition, there are a few different types of graphs including Eulerian graphs and Hamiltonian graphs. A graph is Eulerian if it is connected and \(G\) contains a closed trial with the use of every edge exactly once. Within Eulerian graphs, one can begin and end with any vertex. A graph is Hamiltonian if it contains a cycle that goes through every vertex. | 677.169 | 1 |
iCalcline is a Latest Generation Algebra Calculator for the iPhone
[prMac.com] Milano, Italy - Tension Software announces the release of iCalcline 1.0. iCalcline is a latest generation algebra calculator for the iPhone and iPod touch for any tech or math enthusiast or simply anyone in need of an advanced math tool. iCalcline puts in your pocket a powerful mathematical calculator.
Its enough to insert a mathematical expression and iCalcline will immediately show the result.
iCalcline can solve equations with an unlimited number of nested parentheses and using up to 28 functions and operators. It manages a table with variables values, using the table values you can write equations as in 'y=x 1' with the 'x' value contained in the table and iCalcline will assign to 'y' the resulting value. In case the y variable was not present when you typed 'y=x 1', a 'y' variable is created for you with a correct value assigned. You can create, manipulate, delete and use how many variables you like inside the app tapping on the variable table.
iCalcline offers a wide range of functions:
* Many mathematical functions
* Manages any nested level of parentheses using the correct precedence
* Check your expression syntax in advance signaling errors
* Offers buttons for fast introduction of any literal values available in the tables (variables) and functions
* Can change on the fly calculation precision (up to 9 decimals thanks to use of long double calculation)
* Manages unlimited numbers of variables you like in the table
* Uses decimal separator in accordance with your local settings
Input and variables are retained over run of iCalcline. When you relaunch it you will find the values you left in the app. iCalcline can provide also a full log of executed calculations solved (optionally) step by step.
Features:
* Evaluates mathematical expressions with parentheses, nested functions, variables and constants
* Easy to use
* The user simply inserts an expression and iCalcline displays the result
* Variable creation and reference inside expressions are very easy using an interactive list.
* Variables values are retained over different runs
* Expressions solved optionally step by step showing all the mathematical passages in the log.
* Uses a very small window, expandable if necessary to show additional details (switch with a simple click).
* Based on a custom fast calculation engine developed by Tension Software and used also on Mac OS X in Calcline and TS Calc (available on the Mac App Store).
* Uses long double calculation (High precision with up to 9 decimal digit precision)
* Buttons for fast introduction of variables and functions
* DEG and RAD calculation for trigonometric functions | 677.169 | 1 |
Contents
The importance of practice
By using it, you practice it on the homework exercises or by talking it out with your favorite algebra tutor. The more you practice, the better you get. Without any practice, only expect to experience brain flush.
Think about learning to tie your shoe laces. When you were real young, learning to tie your shoe laces was a real pain in the brain. After several days, weeks, or months, you finally learned to tie your shoes, and now, you do it without thinking. Doing algebra is just another skill, like tying your shoes or some other simple task that you do all the time without sweating about it. If you never practiced tying your shoes, you would have forgotten how to do it... or you discovered slippers with velcro straps.
A note on homework practice: Usually, the number of homework problems assigned in class is just enough to give you the feel of using whatever topic the instructor feels you should be learning at this point in time. It generally is NOT ENOUGH to give you enough practice to make you fully competent. SEEK OUT MORE OPPORTUNITIES TO PRACTICE!
One source is looking up old algebra books in your campus library; another is that some people may have posted old homework sets on the Internet.
From experience with my tutoring clients, just doing this on a regular basis (3 or more times a week) works out to a full grade improvement on completing the class. Not doing this means a lot more stress just before the final exam, leading to the other kind of cramming.
CRAM Math extensibility
The CRAM Math method can be extended to any degree:
learn something basic about algebra and then
use it.
learn something in addition to the above
use the new concepts in combination with what is already known
repeat the above last two steps over and over until you pass the course
It is the process of learning then doing and learning/doing more that is the heart of CRAM Math methodology. It is no harder than learning to dress yourself by doing it every day... unless you are a nudist!
Universal applicability
The CRAM Math method can be applied to any subject with enough tweaking and editing.
Method applied to biology
learn a basic biology concept or term and then
use it to describe something biological.
learn something in addition to the above
use the new concepts in combination with what is already known to explain something biological, then write out the new composite idea in a few short sentences
repeat the above last two steps over and over until you pass the course
Method applied to chemistry
learn a basic chemistry concept, term, or molecular formula and then
use it to explain some chemical property without blowing up something in the lab.
learn something in addition to the above
use the new concepts in combination with what is already known to explain something chemical, then write out the new composite idea in a few short sentences
repeat the above last two steps over and over until you pass the course
Method applied to the subject matter of X
learn a basic concept, term, or formula of X and then
use it to explain something about X.
learn something in addition to the above
use the new concepts in combination with what is already known to explain something X-traorinary, then write out the new composite idea in a few short sentences
repeat the above last two steps over and over until you pass the course
CRAM Math method source
The inspiration for CRAM Math came from reading Rene Descartes' Rules for the Direction of the Mind in the Britannica Great Books series many years ago.
Rules for the Direction of the Mind without Descartes' annotations
The following twelve Rules were translated by Elizabeth Anscombe and Peter Thomas Geach in 1954 for their work "Descartes Philosophical Writings", and their copyright was not renewed.
Rule I
The aim of our studies should be to direct the mind with a view to forming true and sound judgements about whatever comes before it.
Rule II
We should attend only to those objects of which our minds seem capable of having certain and indubitable cognition.
Rule III
Concerning objects proposed for study, we ought to investigate what we can clearly and evidently intuit or deduce with certainty, and not what other people have thought or what we ourselves conjecture. For knowledge can be attained in no other way.
Rule IV
We need a method if we are to investigate the truth of things.
Rule V
The whole method consists entirely in the ordering and arranging of the objects on which we must concentrate our mind's eye if we are to discover some truth. We shall be following this method exactly if we first reduce complicated and obscure propositions step by step to simpler ones, and then, starting with the intuition of the simplest ones of all, try to ascend through the same steps to a knowledge of all the rest.
Rule VI
In order to distinguish the simplest things from those that are complicated and to set them out in an orderly manner, we should attend to what is most simple in each series of things in which we have directly deduced some truths from others, and should observe how all the rest are more, or less, or equally removed from the simplest.
Rule VII
In order to make our knowledge complete, every single thing relating to our undertaking must be surveyed in a continuous and wholly uninterrupted sweep of thought, and be included in a sufficient and well-ordered enumeration.
Rule VIII
If in the series of things to be examined we come across something which our intellect is unable to intuit sufficiently well, we must stop at that point, and refrain from the superfluous task of examining the remaining items.
Rule IX
We must concentrate our mind's eye totally upon the most insignificant and easiest of matters, and dwell on them long enough to acquire the habit of intuiting the truth distinctly and clearly.
Rule X
In order to acquire discernment we should exercise our intelligence by investigating what others have already discovered, and methodically survey even the most insignificant products of human skill, especially those which display or presuppose order.
Rule XI
If, after intuiting a number of simple propositions, we deduce something else from them, it is useful to run through them in a continuous and completely uninterrupted train of thought, to reflect on their relations to one another, and to form a distinct and, as far as possible, simultaneous conception of several of them. For in this way our knowledge becomes much more certain, and our mental capacity is enormously increased.
Rule XII
Finally we must make use of all the aids which intellect, imagination, sense-perception, and memory afford in order, firstly, to intuit simple propositions distinctly; secondly, to combine correctly the matters under investigation with what we already know, so that they too may be known; and thirdly, to find out what things should be compared with each other so that we make the most thorough use of all our human powers. | 677.169 | 1 |
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.9 MB | 3 pages
PRODUCT DESCRIPTION
This is a note sheet to teach how to write a rule/general equation/explicit formula for a geometric sequence and how to find the nth term of a geometric sequence.
The file includes a page that is formatted to fit perfectly within an interactive student notebook (composition book).
I've used this resource and modified it many times. Students really seem to "get it" by using this set of notes. I will be uploading a similar one that I use for arithmetic sequences.
The file also includes a picture of my notes (when it was all handwritten).
Page 1 & 2 - Blackline master to make copies
Page 3 - A handwritten copy of how I fill in the pages of the foldable.
F.LE. 2: Construct linear and exponential function, including arithmetic and geometric sequence, given a graph a description of a relationship, or two input-output pairs (include reading these from a table | 677.169 | 1 |
Collins IGCSE Maths - Cambridge IGCSE Maths Revision Guide
Find all the Core and Extended content you need to revise for your IGCSE Maths exam in one place. Revise and practice key skills and difficult topics to make sure you achieve top grades.
•Supports the 2009 Cambridge IGCSE specification. •Cover both Core and Extended levels in one book. Levels are clearly labelled on the page. •Revise in a way that suits you best with revision guide pages (maths content) and corresponding workbook pages (practice exam questions) with detachable answers for flexible practice. •Find key revision points for each topic, supported by worked examples and levelled quick practice questions. •Know exactly how to get top marks in your exam with worked exam questions that have special emphasis on difficult topics. •Discover plenty of practice questions, particularly aimed at Extended level, in the write-in workbook section at the back of the book. •Practise skills to revise effectively and perform on the exam day, with practical guidance, exam technique tips, and clear advice on how to move answers up a grade (grade boosters and progression maps)
Book Description Collins Educational7569
Book Description Collins Educational, 2012. Paperback. Book Condition: Used; Good. **SHIPPED FROM UK** We believe you will be completely satisfied with our quick and reliable service. All orders are dispatched as swiftly as possible! Buy with confidence!. Bookseller Inventory # 1631984
Book Description Paperback. Book Condition: Good. The book has been read but remains in clean condition. All pages are intact and the cover is intact. Some minor wear to the spine. Bookseller Inventory # GOR006615154255159 | 677.169 | 1 |
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Since everything assembled consists of either straight lines, curved lines, or a combination of both, the ability to calculate circles and right triangles is essential for anyone who works in a building trade. This simple and straightforward book explains the basic math used in construction, manufacturing, and design. Starting with fractions and decimals and moving to mitered turns and arcs, these principles are presented with detailed illustrations, practical applications, and in larger print for easy reading. The result is increased efficiency, productivity, and confidence in one's work from initial design to final product. | 677.169 | 1 |
Resource Added!
Type:
Graphic Organizer/Worksheet
Description:
This is a one class-period activity to introduce the concept of linear programming. Students will be familiar with the vocabulary and the purpose of solving systems of inequalities to find an optimal solution.
Language:
Access Privileges:
License Deed:
Collections:
MA.8.M8A5.a: Mathematics
Given a problem context, write an appropriate system of linear equations or inequalities.
MA.8.M8A5.b: Mathematics
Solve systems of equations graphically and algebraically, using technology as appropriate.
MA.8.M8A5.c: Mathematics
Graph the solution set of a system of linear inequalities in two variables.
MA.8.M8A5.d: Mathematics
Interpret solutions in problem contexts07-26.
Component Ratings:
Technical Completeness: 3 Content Accuracy: 3 Appropriate Pedagogy: 3
Reviewer Comments:
The enclosed is a set of exercises in Linear Programming (not a lesson plan as advertised). The exercises are interesting and give students lots of context for linear programming. Answers are provided.
This is a one class-period activity to introduce the concept of linear programming. Students will be familiar with the vocabulary and the purpose of solving systems of inequalities to find an optimal solution. | 677.169 | 1 |
6989590524592358821242138141185278562
About
Overview
This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research. | 677.169 | 1 |
About this product
Description
Description
Following on the success of the Algebra Survival Guide, the Algebra Survival Guide Workbook presents thousands of practice problems (and all answers) to help children master algebra. The problems are keyed to the pages of the Algebra Survival Guide, so that children can find detailed instructions and then work the sets. Each problem set focuses like a laser beam on a particular algebra skill, then offers ample practice problems. Answers are conveniently displayed in the back. This book is for parents of schooled students, homeschooling parents and teachers. Parents of schooled children find that the problems give their children a leg up for mastering all skills presented in the classroom. Homeschoolers use the Workbook - in conjunction with the Guide - as a complete Algebra 1 curriculum. Teachers use the workbook's problem sets to help children sharpen specific skills - or they can use the pages as tests or quizzes on specific topics. Like the Algebra Survival Guide, the Workbook is adorned with beautiful art and sports a stylish, teen-friendly design.
Author Biography
Josh Rappaport runs the Now I Get It! Tutoring Service in Santa Fe, New Mexico. As a longtime tutor, Josh has heard just about every question about math ever uttered. To help children, Josh relates math's complexities to life situations through playful analogies. Josh put his ideas together in the Algebra Survival Guide, winner of a Parents Choice commendation. The Guide has been used by individuals, schools and school districts across the United States. | 677.169 | 1 |
POLYNOMIALS?
Answers
Polynomials appear in a wide variety of areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated problems in the sciences; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus andnumerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, central concepts in algebra and algebraic geometrynomials are algebraic expressions but not all algebraic expressions are polynomials. | 677.169 | 1 |
Complex Analysis
Beschreibung
Beschreibung
This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.
Innenansichten
Pressestimmen
"The very understandable style of explanation, which is typical for this author, makes the book valuable for both students and teachers." EMS Newsletter, Vol. 37, Sept. 2000 Fourth Edition S. Lang Complex Analysis "A highly recommendable book for a two semester course on complex analysis." -ZENTRALBLATTMATH | 677.169 | 1 |
Summary and Info
The second edition of this text has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject. Line and surface integrals Divergence and curl of vector fields
Review and Comments
Rate the Book
★★★★★★★★★★An Introduction to Differentiable Manifolds and Riemannian Geometry (Pure and applied mathematics, a series of monographs and textbooks)0 out of 5 stars based on 0 ratings. Your Rating: ☆☆☆☆☆★★★★★ | 677.169 | 1 |
EquSolver
Description
The objective of this project is to create a program that can solve mathematical equations, and also learning polishing our programming skills in the process.We will start by trying to solve simple linear equations. and then solving more complex equation | 677.169 | 1 |
The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic. Algebraic Number Theory takes the reader from unique factorisation in the integers through to... more...
This book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". more...
One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics:... more...
Using a computational algebra approach, this work addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The self-contained text contains exercises as well as historical notes and algorithms. more...
This book provides an accessible introduction to class field theory. It takes a traditional approach, but in a fashion which is cleaner and more streamlined than most other books on this topic. The book has been class-tested, and the author has included exercises. more...
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups.... more...
The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications. This exposition of the classic theory leads the reader to an understanding of the current knowledge of the subject and its connections to other mathematical... more...
Field Arithmetic explores Diophantine fields through their absolute Galois groups. The treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. more...
Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials.... more... | 677.169 | 1 |
This lesson provides an opportunity for students to apply their knowledge and understanding of solving systems of equations to a real-life situation. Students are asked to complete a purchase order with missing values by solving a system of equations. | 677.169 | 1 |
TECHNIQUES OF INTEGRATIONINTEGRATION BY TRIGONOMETRIC
SUBSTITUTION
MATH22
Calculus2
Objectives: At the end of the chapter the student is
expected to
identify an integrand where trigonometric substitution is
applicable.
evaluate the given function using i
VOLUME OF SOLIDS OF
REVOLUTION
OBJECTIVES
At the end of the lesson, the student should be able
to:
define what a solid of revolution is.
find the volume of solid of revolution using disk
method.
find the volume of solid of revolution using the
washer meth
THE THEOREM OF PAPPUS
OBJECTIVES
At the end of the lesson, the student is expected
to:
use the Theorem of Pappus to find the surface
area of revolution.
use the Theorem of Pappus to find the volume
of a solid of revolution.
THEOREMS OF PAPPUS
THEOEM 1:
FORCE DUE TO LIQUID
PRESSURE
OBJECTIVES
At the end of the lesson, the student is expected
to:
find fluid pressure and fluid force.
FLUID PRESSURE AND FLUID FORCE
Pressure is defined as the force per unit of area
over the surface of a body.
In general, th
WORK
OBJECTIVES
At the end of the lesson, the student is expected
to:
find the work done by a constant force.
find the work done by a variable force.
find the work done in pumping liquid out of the
container.
WORK DONE BY A CONSTANT FORCE
In general, w
CENTROID
OBJECTIVES
At the end of the lesson, the student is expected
to:
understand the definition of mass.
find the center of mass in one-dimensional
system.
find the center of mass in two-dimensional
system.
find the centroid of plane area.
find t
INTEGRATION BY MISCELLANEOUS
SUBSTITUTION
MATH22
Calculus2
At the end of the chapter the student is
expected to
translate a rational function of sine and cosine into a rational
function of another variable.
recall and maximize basic identities in evaluat
TECHNIQUES OF INTEGRATIONINTEGRATION BY PARTS
MATH22
Calculus2
Objectives: At the end of the chapter the student is
expected to
state the integration by parts formula
identify an integrand where integration by parts can be
applied.
evaluate the given fun
DEFINITE INTEGRAL
MATH 22
INTEGRAL CALCULUS
THE DEFINITE INTEGRAL
If F(x) is the integral of f(x)dx, that is, F(x) = f(x)dx and if a and b are
constants, then the definite integral is:
b
a
f ( x )dx F x
b
a
F( b ) F( a )
where a and b are called lower a
GENERALIZED POWER FORMULA
(Integration by Simple
Substitution)
MATH22
INTEGRAL CALCULUS
INTEGRATION BY SUBSTITUTION
A technique called substitution, that can often be used to
transform complicated integration problems into simpler ones.
The method of subs
ANTIDERIVATIVES
(INTEGRAL)
TRANSFORMATIONS of TRIGONOMETRIC FUNCTIONS
The transformation of the trigonometric functions
are divided into two major parts, they are the
following:
Part 1: Powers of Sine and Cosine
Part 2: Powers of Tangent and Secant and
Po
DIFFERENTIALS
DIFFERENTIALS
Derivatives are the functions we use to measure
the rates at which things change. We define derivatives
as limiting values of average changes, just as we define
slopes of curves as limiting values of slopes of secants.
Now that
INTEGRATION OF INVERSE
HYPERBOLIC FUNCTIONS
MATH22
Calculus2
Objectives: At the end of the chapter the student is
expected to
state the definition of inverse hyperbolic function in terms of
logarithm.
recall the derivatives of inverse hyperbolic function
APPLICATIONS OF DEFINITE
INTEGRAL-AREA BY INTEGRATION
MATH22
Calculus2
Objectives: At the end of the chapter the student is
expected to
recall the concepts of definite integral.
state different steps to find of area of the given function.
compute the ar
ARC LENGTH and SURFACE AREA
MATH22
Calculus2
Objectives: At the end of the chapter the student is
expected to
define arc length/area of a surface of revolution
find the arc length of the graph of the given function
find the surface area of revolution
ma
INTEGRATION BY PARTIAL FRACTION
MATH22
Calculus2
Objectives: At the end of the chapter the student is
expected to
define rational function, partial fractions.
distinguish proper rational function from improper rational
function.
find the partial-fractio | 677.169 | 1 |
Linear algebra
Keyboard Shortcuts
Learn matrix inversion, solving systems of linear equations, and elementary linear algebra using NumPy and SciPy in this video tutorial by Charles Kelly. These are explained in the context of computer science and data science to technologists and students
Overview
Transcript
View Offline
Exercise Files
- [Instructor] The linear algebra file…in your exercises files folder is pre populated…with an import statement and a matrix named,…my first matrix.…When college mathematics departments offer…a linear algebra course, courses are typically taught…using a theoretical perspective.…When engineering departments offer a course,…courses are often used a computational perspective.…In either case, the course usually lasts one semester…and sometimes serves as an introduction…to more advanced mathematics courses.…
Why then am I offering a linear algebra as a short example?…The answer is that I assume that you already…understand linear algebra,…and the goal of this video is to teach you to use…num pies linear algebra capabilities.…Begin using this notebook,…go to the cell menu, and type run all.…Notice that the result of my first matrix…is a matrix, not an array or an ND array.…The documentation tells us that the constructor…for the MP.matrix function returned a matrix…from an array like object, or from a string of data.… | 677.169 | 1 |
This book contains most of the material covered in a typical first year mathematics course in an engineering or science programme. It devotes Chapters 1–10 to consolidating the
foundations of basic algebra, elementary functions and calculus. Chapters 11–17 cover the range of more advanced topics that are normally treated in the first year, such as vectors and matrices, differential equations, partial differentiation and transform methods. | 677.169 | 1 |
Math 234: Worksheet 2 Name:
u*_
Section 51
Instructions: You may work together on this worksheet, but you must write up
your own solutions to the problems and write the names of all collaborators on your
worksheet. You may use any resources you nd necessa
Math 234: Worksheet 3 Name:
E
Section 71
Instructions: You may work together on this worksheet, but you must write up
your own solutions to the problems and write the names of all collaborators on your
worksheet. You may use any resources you nd necessary
Math Worksheet 1 Name:
Section 71
Instructions: You may work together on this worksheet, but you must write up
your own solutions to the problems and Write the names of all collaborators on your
worksheet. You may use any resources you nd necessary to nis | 677.169 | 1 |
ISBN 9783540120537
ISBN-10
354012053X
Binding
Paperback
Edition
1st ed. 1983. 6th printing 200
Number of Pages
122 Pages
Subject
Geometry
Treats the classical topics of Euclidian, projective and hyperbolic geometry using the modern language of linear algebra, group theory, metric spaces and elementary complex analysis. Readers can check their understanding of each geometry with the sets of problems included. | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. Introduction to Partial Differential Equations with MATLAB is a careful integration of traditional core topics with modern topics, taking full advantage of the computational power of MATLAB to enhance the learning experience. This advanced text/reference is an introduction to partial differential equations covering the traditional topics within a modern context. To provide an up-to-date treatment, techniques of numerical computation have been included with carefully selected nonlinear topics, including nonlinear first order equations. Each equation studied is placed in the appropriate physical context. The analytical aspects of solutions are discussed in an integrated fashion with extensive examples and exercises, both analytical and computational. The book is excellent for classroom use and can be used for self-study purposes. Topic and Features: • Nonlinear equations including nonlinear conservation laws; • Dispersive wave equations and the Schrodinger equation; • Numerical methods for each core equation including finite difference methods, finite element methods, and the fast Fourier transform; • Extensive use of MATLAB programs in exercise sets. MATLAB m files for numerical and graphics programs available by ftp from this web site. This text/reference is an excellent resources designed to introduce advanced students in mathematics, engineering and sciences to partial differential equations. It is also suitable as a self-study resource for professionals and practitioners.
Review
"Cooper's book stands out among a host of PDE works. It not only adequately treats traditional core partial differential equation methods but also integrates analytic solutions with numerical schemes through the implementation of MATLAB routines. As an application-oriented book that provides the basic definitions, theorems, and analyses of the solutions, it contains the core topics needed for a sound background in partial differential equations.... One of the book's excellent features is the availability of illustrative and challenging problems, some of which have been cast in the form of MATLAB projects. Such features undoubtedly make this a suitable work for a laboratory component of an introductory PDEs course. Recommended. Undergraduates through faculty." --Choice | 677.169 | 1 |
Algebra 2 Tutor is a 6 hour course spread over 2 DVD disks that will aid the student in the core topics of Algebra 2. This DVD bridges the gap between Algebra 1 and Trigonometry, and contains essential material to do well in advanced mathematics. Many of the topics in contained in this DVD series are used in other Math courses, such as writing equations of lines, graphing equations, and solving systems of equations.
Unit conversions are used in every branch of math and science including Algebra, Calculus, Physics, and Chemistry. In the course of solving problems the student will need to convert between various units in order to solve the problem. For example, if solving a Physics problem it may be necessary to convert between centimeters per second to kilometers per hour in order to correctly solve the problem. This DVD course teaches the techniques of the most common unit conversions by fully worked example problems. This DVD is not intended to be a reference DVD for all conversion factors that you will see in your classes. More importantly, the strategy associated with unit conversions is emphasized such that the student will be comfortable applying any conversion factor ecessary to solve the problem – even those not found on this disk. | 677.169 | 1 |
This website is extremely useful for students as it thoroughly explains all the steps required to graph linear equations as well as the equations required.
It also provides worked examples, and a couple of quizzes for the students to complete on their newly learnt work.
As a teacher this can be a great way of judging how all the students in the class are coping with this unit, by taking note of the quiz results. This allows for you to understand which students are struggling and where they are struggling, and develop a plan to help them better understand the | 677.169 | 1 |
Abstract
A few years ago we began to revamp our introductory physics course for life science students.1 We knew that this cohort would be less prepared and less adventurous mathematically than engineering, physical science, or mathematics majors. Moreover, from our own experience and the mathematics education literature,2-4 we knew that trigonometry would be particularly challenging. Based on these circumstances, we decided to systematically probe the following questions: What is the range of students' initial knowledge with respect to trigonometry? Is reviewing trigonometric concepts valuable and/or necessary? Can students see the trigonometric equations describing oscillations as conveying an idea, in addition to being a tool to get "the answer"? | 677.169 | 1 |
Do your students attempt to memorize facts and mimic examples to make it through algebra? James Stewart, author of the worldwide, best-selling calculus texts, saw this scenario time and again in his classes. So, along with longtime coauthors Lothar Redlin and Saleem Watson, he wrote COLLEGE ALGEBRA specifically to help students learn to think mathematically and to develop genuine problem-solving skills. Comprehensive and evenly-paced, the text has helped hundreds of thousands of students. Incorporating technology, real-world applications, and additional useful pedagogy, the sixth edition promises to help more students than ever build conceptual understanding and a core of fundamental skills.
Additional Product Information
Features and Benefits
The new Get Ready feature at the beginning of a section lets students know which previous sections they need to have mastered before starting the section.
Concept exercises, in addition to drill/skill exercises, vary from easy to difficult and help ensure that students are truly grasping the algebraic theories.
Practice What You've Learned features at the end of each example directs students to a similar problem in the exercises, allowing them to immediately reinforce the concept just covered.
Cumulative Reviews appear after select groups of chapters and help students gauge their progress and gain experience in taking tests that cover a broad range of concepts and skills.
Enhanced WebAssign allows you to assign, collect, grade, and record homework assignments online, minimizing workload and streamlining the grading process. It also gives students the ability to stay organized with assignments and have up-to-date grade information.
Many real-world applications show students how mathematics is used to model in fields such as engineering, physics, chemistry, business, and biology and help them relate the concepts they're studying to the world around them.
Focus on Modeling sections show how algebra can be applied to model real-life situations.
Optional, yet complete, technology applications for graphing calculators and computers appear throughout the text, giving you the flexibility to teach the course the way you want.
What's New
Early Chapter on Functions. The chapter on Functions now appears earlier in the book--moving from Chapter 3 to Chapter 2. The review material (in Chapters P and 1) has been streamlined and rewritten, allowing Instructors to more quickly get to the key part of the course—functions.
Diagnostic Test. A diagnostic test, designed to test preparedness for college algebra, is available at the beginning of the book. This allows Instructors to more easily determine if their students are ready for the material they will encounter in college algebra or if they should review some basic algebra skills. As a result instructors can better schedule and organize their lecture topics.
Exercises. More than 30% of the exercises are new. This includes new Concept Exercises and new Skills exercises. Updated exercises provide more relevant material that will engage students. Concept and Skill exercises will improve their students' ability to handle application problems and allow instructors to spend more time on more interesting applied problems.
Book Companion Website. A new website contains Discovery Projects for each chapter and Focus on Problem Solving sections that highlight different problem-solving principles outlined in the Prologue. Instructors can direct students to this additional source for learning problem solving skills.
Chapter P Preliminaries. This chapter now contains a section on basic equations, including linear equations and power equations. Instructors have available to them important review material which ultimately will help in their students' greater understanding of graphing functions.
Chapter 1 Equations and Graphs. This is a new chapter that includes an introduction to the coordinate plane and graphs of equations (in two variables), as well as the material on solving equations. Including these topics in one chapter highlights the relationship between algebraic and graphical solutions of equations. Instructors will now have more book support in explaining the relationship between data and its graphical representation and the algebraic representation of that dataYouBook
(ISBN-10: 1133492177 | ISBN-13: 9781133492177)
List Price = $167.95
| College Bookstore Wholesale Price = $126.50
Instructor's Guide
(ISBN-10: 111199028X | ISBN-13: 9781111990282)
The Instructor's Guide contains points to stress, suggested time to allot, text discussion topics, core materials for lecture, workshop/discussion suggestions, group work exercises in a form suitable for handout, and suggested homework problems.
This CD-ROM (or DVD) (or DVD).
Study Guide
(ISBN-10: 1111990379 | ISBN-13: 9781111990374)
Reinforces student understanding with detailed explanations, worked-out examples, and practiceStudent Supplements
Go beyond the answers—see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. This gives you the information you need to truly understand how these problems are solved.
Study Guide
(ISBN-10: 1111990379 | ISBN-13: 9781111990374)
Reinforces student understanding with detailed explanations, worked-out examples, and practice | 677.169 | 1 |
PDF Books Free Download
The Stanford Mathematics Problem Book: With Hints and Solutions (Dover Books on …
PDF Download The Stanford Mathematics Problem Book: With Hints and Solutions (Dover Books on … book by It's free.
This volume features a complete set of problems, hints, and solutions based on Stanford University's well-known competitive examination in mathematics. It offers high school and college students an excellent mathematics workbook of rigorous problems that will assist in developing and cultivating their logic and probability skills.These 20 sets of intriguing problems test originality and insight rather than routine competence. They involve theorizing and verifying mathematical facts;…
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This volume features a complete set of problems, hints, and solutions based on Stanford University's well-known competitive examination in mathematics. It offers high school and college students an ex...
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Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes ...
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Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includ...
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Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contr...
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BETHANY MACDONALD HAS TRAINED SIX LONG YEARS FOR THIS MOMENT. SHE'LL TRY TO SOLVE FIVE QUESTIONS IN THREE HOURS, FOR ONE IMPROBABLE DREAM. THE DREAM OF REPRESENTING HER COUNTRY, AND BECOMING A MATH OL...
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The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and b...
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This unique collection of problems from major national and international mathematical competitions for high school students is for trainers and participants at all levels: IMO, Tournament of the Towns...
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Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds o... | 677.169 | 1 |
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Unformatted text preview: of Maple. It describes both the symbolic and numeric capabilities, introducing the available Maple objects, commands, and methods. Emphasis is placed on finding solutions, plotting or animating results, and exporting worksheets to other formats. More importantly, this manual presents the philosophy and methods of use intended by the designers of the system. Audience
The information in this manual is intended for first time Maple users. As an adjunct, access to the Maple help system is recommended. Manual Set
There are three other manuals available for Maple users, the Maple Getting Started Guide, the Maple Introductory Programming Guide, and the Maple Advanced Programming Guide.1 • The Maple Getting Started Guide contains an introduction to the graphical user interface and a tutorial that outlines using Maple to solve mathematical problems and create technical documents. It also
1 The Student Edition does not include the Maple Introductory Programming Guide and the Maple Advanced Programming Guide. These programming guides can be purchased from school and specialty bookstores or directly from Maplesoft. 1 2• Preface includes information for new users about the help system, New User's Tour, example worksheets, and the Maplesoft Web site. • The Maple Introductory Programming Guide introduces the basic Maple programming concepts, such as expressions, data structures, looping and decision mechanisms, procedures, input and output, debugging, and the MapletTM User Interface Customization System. • The Maple Advanced Programming Guide extends the basic Maple programming concepts to more advanced topics, such as modules, input and output, numerical programming, graphics programming, and compiled code. Whereas this book highlights features of Maple, the help system is a complete reference manual. There are also examples that you can copy, paste, and execute immediately. Conventions
This manual uses the following typographical conventions. • courier font - Maple command, package name, and option name • bold roman font - dialog, menu, and text field • italics - new or important concept, option name in a list, and manual titles • Note - additional information relevant to the section • Important - information that must be read and followed Customer Feedback
Maplesoft welcomes your feedback. For suggestions and comments related to this and other manuals, contact doc@maplesoft.com. 1 Introduction to Maple Maple is a Symbolic Computation System or Computer Algebra System . Maple manipulates information in a symbolic or algebraic manner. You can obtain exact analytical solutions to many mathematical problems, including integrals, systems of equations, differential equations, and problems in linear algebra. Maple contains a large set of graphics routines for visualizing complicated mathematical information, numerical algorithms for providing estimates and solving problems where exact solutions do not exist, and a complete and comprehensive programming language for developing custom functions and applications. Worksheet Graphical In...
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Algorithms by Sanjoy Dasgupta
Book Description
This text explains the fundamentals of algorithms in a story line that makes the material enjoyable and easy to digest. Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal. The features include: the use of boxes to strengthen the narrative: pieces that provide historical context, descriptions of how the algorithms are used in practice, and excursions for the mathematically sophisticated. It includes carefully chosen advanced topics that can be skipped in a standard one-semester course, but can be covered in an advanced algorithms course or in a more leisurely two-semester sequence. It gives an accessible treatment of linear programming and introduces students to one of the greatest achievements in algorithms. An optional chapter on the quantum algorithm for factoring provides a unique peephole into this exciting topic. "Algorithms" is an outstanding undergraduate text, equally informed by the historical roots and contemporary applications of its | 677.169 | 1 |
Department of Mathematics and Philosophy of Engineering
MPZ3132-Engineering Mathematics IB
Assignments
Instructions:
Answer All Questions
Write your address back of your answer script
Use both both sides of paper when you are doing assignments
Show al
COURSE GUIDE xi
COURSE GUIDE DESCRIPTION
You must read this Course Guide carefully from the beginning to the end. It tells
you briefly what the course is about and how you can work your way through
the course material. It also suggests the amount of time | 677.169 | 1 |
LVA-Termine
Course Content
How can we solve Rubik's cube? How many moves are necessary? How can we represent and work with innite groups on a computer? Is it possible to color a given map with four colors such that adjacent countries have distinct color? What is the connection between nding such a coloring, searching a database, and solving a system of linear equations? Which of these problems is hard, which one easy? In this course we will consider and formulate these questions as algebraic problems. In particular we study algorithms for computing with groups and more general algebraic structures. Our motivation for this comes from two areas:
Concrete questions about concrete algebras: For example, what is the size of a permutation group given by a list of generators?
Complexity theory: A number of classical decision problems like satisability of Boolean formulas, graph colorability, solving systems of linear equations ... can be formulated as Constraint Satisfaction Problems (CSP). An open conjecture in theoretical computer science states that every such CSP is either solvable in polynomial time (like solving linear equations) or NP-complete (like coloring graphs). Some recent progress on this question is due to algebraic methods. For every CSP one can construct an algebraic structure such that solving the CSP amounts to determining the intersection of subalgebras. Hence algorithms for computing with general algebraic structures are then applicable to these decision problems. | 677.169 | 1 |
Math 010 Review Arithmetic and Algebra Entry Code Request Form
Are you interested in Math 010 Accelerated classes?
What is Math 010?
Math 010 is a 4 week 2-credit intensive review course designed for students who
have had success in past arithmetic and algebra courses and who need to review
those skills before progressing through the math sequence at TCC. The primary
mode of instruction is computer-mediated; however, an instructor will be
available during regular class times to assist students. Self-motivation and a
willingness to work with computer software both inside and outside of the
classroom are essential for successful completion of the course. The following
TCC courses can be reviewed through Math 010: Math 75 – Basic Arithmetic (MATH
010W), Math 85 – Introduction to Algebra (MATH 010X), Math 90 – Elementary
Algebra (MATH 010Y), Math 95 - Intermediate Algebra (MATH 010Z).
On the first day of class students will take a computerized assessment test
using ALEKS* (the web based computer program used for Math 010). ALEKS
determines the topics that a student needs to review and provides instructional
material in each area. Upon successful completion of Math 010 the student will
be able to advance to the next level of classroom math at TCC. Math 010 is
graded on a Satisfactory/Unsatisfactory basis only (grade of S or U).
Math 010 may be right for you, if…
You have studied the material you wish to cover in the past and simply need to
brush up your skills.
You assessed within 10 points of the cutoff score on the accuplacer assessment
test (see back of this form for specific scores).
You took a Math 75, 85, 90 or 95 class at TCC and received a grade of D or
higher.
You have taken math classes somewhere else and need a refresher.
-AND-
You are self-motivated and committed to covering a lot of math material in a
short amount of time (successful students usually spend 40 or more hours working
on the material over the four week period).
-AND-
You are comfortable with computers and willing to study math through
computer-mediated learning. No additional textbook is required but you must
purchase access to the online program ALEKS* (approx. $40). A login access code
is available for purchase at the TCC Bookstore or online during class on the
first day.
Math 010 is a 2-credit intensive class that requires self-motivation and the
willingness to work with computer software both inside and outside of the
classroom.
I will be required to purchase an ALEKS Student Access Code from the TCC
Bookstore or online.
Math 010 is graded on a S/U basis only.
Math 010 is NOT designed to be taken concurrently with any other math class. If
students need the review that Math 10 provides, they should plan to drop their
current math class before they sign up for Math 10. Students who drop a 5-credit
math class will not have to pay tuition on the 2-credit Math 10 class.
Click to accept the terms and to continue to the page with the entry code
request form. | 677.169 | 1 |
MATH Documents
Showing 1 to 30 of 35
MATH025
DIFFERENTIAL EQUATIONS
Define
differential equation and other
terminologies that describe a D.E.
Distinguish between ODE and PDE.
Identify the order and degree of DE from
which the equations linearity can be
determined.
Differentiate a general sol
MATH025
DIFFERENTIAL EQUATIONS
Applications of
First-Order Differential
Equations
At
the end of the period, you should be
able to:
Formulate and solve mathematical
models that describe various physical
phenomena.
Population Growth
A quantity Q(t) grows
MATH025
DIFFERENTIAL EQUATIONS
http:/groups.yahoo.com/neo/groups/RDISLES_MATH025/files
At
the end of the period, you should be
able to:
Compare and contrast homogeneous and
non-homogeneous higher-ordered LDE .
Carry out method of characteristics to
solve
MATH025
DIFFERENTIAL EQUATIONS
General Order
Differential Equations
At
the end of the period, you should be
able to:
Recognize
higher-ordered
linear
differential equations.
Apply the concept of D operators in the
solution of higher-ordered differential
eq
Lesson 8 SOLIDS OF REVOLUTION
AND COMPOSITE SOLIDS
Week 10
MATH13-1
Solid Mensuration
Circular or Ring Torus
A doughnut-shaped, three dimensional figure
generated by revolving a circle about an axis in its
plane, but not intersecting the circle itself.
Th
Lesson 5 PYRAMIDS AND CONES
Solids for which V = Bh
Week 7
MATH13-1
Solid Mensuration
PYRAMID
A pyramid is a polyhedron containing
triangular lateral faces with a common vertex
and a base which is a polygon.
A pyramid is a right pyramid if the line join
Lesson 4 PRISMS AND CYLINDERS
Solids for which V = Bh
Week 6
MATH13-1
Solid Mensuration
A prism is defined as a polyhedron with two
congruent bases that lie in parallel planes, and
whose every section that is parallel to a base
has the same area as that
Lesson 7 SPHERES
Week 9
MATH13-1
Solid Mensuration
Definitions Relating to Sphere
A sphere is a three-dimensional solid bounded by a
surface consisting of all points equidistant from an
interior point called the center. The closed surface is
called spheri
Lesson 1.1: POLYGON
Lesson 1.2 TRIANGLES
Lesson 1.3 QUADRILATERALS
Week 1 and Week 2
MATH13-1
Solid Mensuration
1.1 POLYGON
A polygon is a closed plane figure that is
joined by line segments.
A polygon may also be defined as a union of
line segments suc
Lesson 3 POLYHEDRONS
Week 5
MATH13-1
Solid Mensuration
DIHEDRAL ANGLES
The dihedral angle is the angle formed between
two intersecting planes. In the figure shown, the
two planes are called faces of the dihedral angle,
and the line of intersection between
Lesson 2.1: CIRCLES
Lesson 2.2 MISCELLANEOUS
PLANES
Week 3 and Week 4
MATH13-1
Solid Mensuration
2.1 CIRCLES
A circle is a set of points, each of which is
equidistant from a fixed point called the
center.
The line joining the center of a circle to any
p
Lesson 6 FRUSTUMS, TRUNCATED
SOLIDS & PRISMATOIDS
Solids for which V = (Mean B)h
Week 8
MATH13-1
Solid Mensuration
The frustum of a right circular cone is a portion
of a right circular cone enclosed by the base of
the cone, a section that is parallel to t
UKEQ1023 QUANTITATIVE TECHNIQUES II
Group Assignment
January 2016 Trimester
Group Assignment 20% (50 marks)
1.
Students need to form a group of THREE (3) to FIVE (5) members within their tutorial group.
2.
Students are required to do a DATA COLLECTION bas
LABORATORY EXERCISE 3
RES110P METHODS OF RESEARCH
NAME OF STUDENT
GROUP #
_ DATE _
_ THESIS ADVISER
_
ACTIVITY: Presentation of Review of Literature
INSTRUCTION:
1. Create a PowerPoint presentation of the concept and literature map that you have prepared
Empirical Study On Employee Job Performance Of Coal Enterprises
Changfa Xiang
Jing Zhang
School of Economics and Management
China University of Geosciences
Wuhan 430074, China
School of Economics and Management
China University of Geosciences
Wuhan 430074 | 677.169 | 1 |
and is it complex
Answers
The Brainliest Answer!
Brainly User
2014-11-02T16:45:56+05:30
Algebra is a type of math that focuses on demonstrating the properties and relationships of abstract things in a symbolic life. it is a mathatical system using symbols esp.letters to generalise certain arithmetic operation and relationship. | 677.169 | 1 |
mPustakAdd Mathematics Practice app that lets you learn with a lot of fun!
Jasymca Jasymca is a symbolic calculator. It solves and manipulates equations, handles basic calculus problems, and provides a few more typical functions of computer algebra systems | 677.169 | 1 |
Description :
Language: English . Brand New Book. * Immediate and easy access to high-quality interactive content by integrating it seamlessly with the Student Book. * Multi-lingual glossary gives audio translations for common maths terms in five languages. * Allows you to personalise content by interacting directly with the text and saving your own annotations, enabling you to reapply your thinking the next time your deliver the lesson. * Facilitates classroom management by allowing the whole class to view items in the textbook together. * Prepares your students for exam success through integrated grade improvement tools. * Make Assessment for Learning an achievable reality by tracking the progress of your whole class and then planning the most effective intervention and remediation strategies. N° de réf. du libraire AAK9781846909122
A propos du livre :
Synopsis :
? Immediate and easy access to high-quality interactive content by integrating it seamlessly with the Student Book.
? Multi-lingual glossary gives audio translations for common maths terms in five languages.
? Allows you to personalise content by interacting directly with the text and saving your own annotations, enabling you to reapply your thinking the next time your deliver the lesson.
? Facilitates classroom management by allowing the whole class to view items in the textbook together | 677.169 | 1 |
Algebra I Essentials use of multiple variables, functions, and formulas algebra can be confusing and overwhelming to learn and easy to forget. Perfect for students who need to review or reference critical concepts, Algebra I Essentials For Dummies provides content focused on key topics only, with discrete explanations of critical concepts taught in a typical Algebra I course, from functions and FOILs to quadratic and linear equations. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.
Mary Jane Sterling is professor ofmathematics at Bradley University.She is the author of many booksincluding Algebra I For Dummies, 2nd Edition and Algebra Workbook For Dummies. | 677.169 | 1 |
GeoGebra Graphing Calculator
GeoGebra Graphing Calculator
Solve math problems, graph functions, create geometric constructions, do statistics and calculus, save and share your results. GeoGebra apps are used by millions of students and teachers around the world to learn and teach mathematics and science. Join us: Dynamic Mathematics for everyone!• Easy to use, powerful graphing calculator• Dynamic geometric constructions• Interactive equations, coordinates, graphs and geometry all working together • Geometry, algebra, trigonometry, derivatives, integrals, and statistics in one app• Freehand drawings and shape recognition• In-app search of free curriculum materials• Save and share your results with friends and teachers• Free cloud and e-publishing services• Help available from | 677.169 | 1 |
Introduction to Optimum Design
Optimization is a mathematical tool developed in the early 1960's used to find the most efficient and feasible solutions to an engineering problem. It can be used to find ideal shapes and physical configurations, ideal structural designs, maximum energy efficiency, and many other desired goals of engineering.
This book is intended for use in a first course on engineering design and optimization. Material for the text has evolved over a period of several years and is based on classroom presentations for an undergraduate core course on the principles of design. Virtually any problem for which certain parameters need to be determined to satisfy constraints can be formulated as a design optimization problem. The concepts and methods described in the text are quite general and applicable to all such formulations. Inasmuch, the range of application of the optimum design methodology is almost limitless, constrained only by the imagination and ingenuity of the user. The book describes the basic concepts and techniques with only a few simple applications. Once they are clearly understood, they can be applied to many other advanced applications that are discussed in the text.
* Allows engineers involved in the design process to adapt optimum design concepts in their work using the material in the text.
* Basic concepts of optimality conditions and numerical methods are described with simple examples, making the material high teachable and learnable.
* Classroom-tested for many years to attain optimum pedagogical effectiveness | 677.169 | 1 |
Resource Added!
Type:
Graphic Organizer/Worksheet, Lesson Plan, Manual
Description:
Lesson 5.8: Linear, Quadratic and Exponential Functions | 677.169 | 1 |
Trigonometry
Author:Charles P McKeague
ISBN 13:9780495108351
ISBN 10:495108359
Edition:6th
Publisher:Cengage Learning
Publication Date:2008
Format:Hardcover
Pages:500
List Price:N/A
 
 
Gain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner's TRIGONOMETRY, Sixth Edition. This book's proven approach presents contemporary concepts in brief, manageable sections using current, detailed examples and interesting applications. Captivating illustrations drawn from Lance Armstrong's cycling success, the Ferris wheel, and even the human cannonball show trigonometry in action. Unique Historical Vignettes offer a fascinating glimpse at how many of the central ideas in trigonometry began. | 677.169 | 1 |
Compressed Zip File
Be sure that you have an application to open this file type before downloading and/or purchasing. How to unzip files.
3.73 MB | 13 pages
PRODUCT DESCRIPTION
This is a Pre- Algebra Common Core Lesson on Real World Linear Expressions. Students will write linear expressions to represent real life situations. After a few teacher led examples, students will practice on their own or in groups. This product also includes a bonus page of additional practice adding and subtracting linear expressions that may or may not be included in your | 677.169 | 1 |
Four Pillars of Geometry textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style construction and axiomatics seem the best way to start,More...
This new textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry? It not only explains why objects look the way they do; it also explains why geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. In this book, two chapters are devoted to each approach, the first being concrete and introductory, while the second is more abstract. Geometry, of all subjects, should be about taking different viewpoints, and geometry is unique among mathematical disciplines in its ability to look different from different angles. Some students prefer to visualize, while others prefer to reason or to calculate. Geometry has something for everyone, and students will find themselves building on their strengths at times, and working to overcome weaknesses at other times. This book will be suitable for a second course in geometry and contains more than 100 figures and a large selection of exercises in | 677.169 | 1 |
Lab Gear
A manipulative for algebra
The Lab Gear is a comprehensive manipulative environment I designed for the teaching and learning of algebra. I have written three books' worth of activities for it -- The Algebra Lab: High School, Algebra Lab Gear: Basic Algebra, and Algebra Lab Gear: Algebra 1. The first is available below. The other two, and the blocks, are now available from Didax. (Scroll down for more info on the books, or click here for info on how to get them.)
For a full training on the Lab Gear, see the video course I helped write for Dr. Ed Dickey of the University of South Carolina. (Where to get it.) Or hire me to run an in-service or pre-service workshop. I can introduce the Lab Gear in one or two days, or incorporate that into a more general course on teaching algebra, which can run from three to five days.
Blocks
I get much e-mail asking: "I would like to use the Lab Gear. What should I buy?" The answer is simple: get a "student pair" box for each pair of students. (Each box contains 24 ones, 8 fives, 2 twenty-fives, 18 x, four 5x, eight x^2, 4 xy, 8 y, two 5y, two y^2, one x^3, three x^2y, three xy^2, one y^3, and two corner pieces. This should be enough for each student to do almost all the problems in the new edition of the books.)
In addition, I recommend buying one or two extra boxes to help balance things out if pieces migrate between boxes.
Algebra Lab Gear Books
Basic Algebra is intended for grades 6-9, and features activities on integer arithmetic, equivalent expressions, perimeter and surface area, the distributive property, and equivalent equations, as well as some "from blocks to symbols" pages.
Algebra 1 is intended for grades 7-10. It focuses on polynomial arithmetic, equations and identities, quadratics, factoring, and connections with graphing. It includes some lessons that I've used successfully in Algebra 2.
Both books have Common Core correlations, teacher notes, lesson plans, and answers. There is some overlap on the key concepts, but the two books are sequenced differently, and represent somewhat different pedagogic styles. If you can afford it, I recommend getting both so as to have more choices, and more activities on the most important topics.
The Algebra Lab: High School (written in 1990, available below) has many great lessons, some of them available nowhere else, and offers a good introduction to the Lab Gear for teachers. Much of it is merged into the textbook Algebra: Themes, Tools, Concepts. However, it is not as easy to use with students as the other two. Still, it contains many activities I recommend for classroom use. In particular, check out the Explorations. (See pp. ix-x in the front matter for an overview and index of those.) | 677.169 | 1 |
Inscribed over the entrance of Plato's Academy were the words, "Let no one ignorant of geometry enter my doors." To ancient scholars, geometry was the gateway to gaining a profound knowledge of the world.$1#$ Today, geometry's core skills of logic and reasoning are essential to success in school, work, and many other aspects of life.
Inscribed over the entrance of Plato's Academy were the words, "Let no one ignorant of geometry enter my doors." To ancient scholars, geometry was the gateway to gaining a profound knowledge of the world. Today, geometry's core skills of logic and reasoning are essential to success in school, work, and many other aspects of life.
EXPLORATIONS is a textbook for high-beginning students in universities, language institutes, adult education programs and high schools. The focus is on developing reading skills. The text is interactive in its approach to language study. Each chapter is based on particular topic and contains Pre-reading and Main-reading activities. | 677.169 | 1 |
Characteristics of Functions Graphic Organizer
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.36 MB | 1 pages
PRODUCT DESCRIPTION
This graphic organizer can be used for any type of function. There are spaces for students to fill in information about domain, range, intervals, maximum, minimum, intercepts, and end behavior. This helps students with remembering how to find these things from graphs, and helps clear up misconceptions about notation | 677.169 | 1 |
This course will present an overview of the development of mathematics
from ancient civilizations to the 19th century. Selected
topics from the history of mathematics including number systems;
Euclidean geometry; the development of algebra in India, Arabia, and
the West; and calculus. Special emphasis will be placed on some
recurrent themes, e.g., calculation of areas, progressive enlargement
of number systems, changing concepts of rigorous proof.
Besides lectures, part of the course will be devoted to presentations
of selected topics by participants, either in class or in the form of papers.
Term Paper
As part of the SAS core curriculum writing requirement, there will be a
term paper consisting of at least 4,000 words. (This is about
8 single-spaced pages, or 16 double-spaced pages.)
Students are expected to select a branch of mathematics, approved by the
professor, and write about how it has evolved over the course of history.
First Assignment, due January 22, 2009
Write a mathematical autobiography and email it to me. Be sure to
include the words "math 436" in the subject line. Include your name,
recent mathematics courses you have taken, and reflect on which were
your favorites and which were hardest. Describe your mathematical
interests, and your post-graduation plans. Explain why you have chosen
to register for this course and what you expect from it.
Be creative and tell your story in complete sentences. One of the
purposes of the assignment is to give me a sample of your writing style. | 677.169 | 1 |
Geometric combinatorics refers to a growing body of mathematics
concerned with counting properties of geometric objects described by a
finite set of building blocks.
Polytopes (which are bounded polyhedra) and complexes built up from
them are primary examples. Other examples include arrangements of
points, lines, planes, convex
sets, and their intersection patterns. There are many connections
to linear algebra, discrete mathematics,
analysis, and topology, and there are exciting applications to game
theory, computer science, and biology. The beautiful yet
accessible ideas in geometric combinatorics are perfect for enriching
courses in these areas.
The target audience is professors who desire to learn about this
exciting field, enrich a variety of courses with new examples and
applications, or teach a stand-alone course in geometric combinatorics.
Some of the topics we will cover include the geometry and combinatorics
of polytopes, triangulations, combinatorial fixed point theorems, set
intersection theorems, combinatorial convexity, lattice point counting,
and tropical
geometry. We will have fun visualizing polytopes and other
constructions, and exploring neat applications to
other fields such as the social sciences (e.g., fair division problems
and voting) and biology (e.g., the space of phylogenetic trees).
Many interesting
problems in geometric combinatorics are easy to explain, but remain
unsolved. Some of the material will reflect recent research
trends from the Fall 2003 program at
MSRI in this field.
Familiarity with linear algebra and discrete mathematics will be
assumed for some of the topics considered. Participants will
receive some reading materials beforehand as well as some fun problems
in the field to whet their
appetite. For more information, please visit the workshop webpage
at | 677.169 | 1 |
Showing 1 to 1 of 1
MATH 1113 PRACTICE TEST 4 FALL 2010 ANSWERS
Questions 1 3 use the following figure
1. Solve the triangle if Round answers to three decimal places.
First find the angle opposite the longest side (c) using:
Now find A (or B) using the law of sines
Finally
2
Showing 1 to 2 of 2
I took this while being dual enrolled with high school, so I didn't know much college math. He helped me and was a really good teacher. He gives great study guides.
Course highlights:
I learned everything I needed to know to prepare me for calculus. I learned a lot about trig and algebra.
Hours per week:
3-5 hours
Advice for students:
Do all the math my labs and go to the review sessions. Study all of the quizzes and take advantage of the resource sheet.
Course Term:Fall 2015
Professor:Benson
Course Required?Yes
Nov 23, 2015
| Would recommend.
Not too easy. Not too difficult.
Course Overview:
This math class provided a good basic understanding to calculus. The instructor was very methodical and carefully explained all problems and helped with any questions students had. Tutoring was available every week if needed.
Course highlights:
I learned that I can understand and be successful in math. I learned to take my time, ask questions, and check my work more carefully.
Hours per week:
3-5 hours
Advice for students:
Study hard for all tests. There are only 4 all semester. Ask questions!!! Go to study sessions. | 677.169 | 1 |
...
Show More in pure mathematics are balanced by a straightforward treatment of the geometry needed for mechanics and classical applied mathematics. The exposition is based on vector methods; an introductory chapter relates these methods to the more classical axiomatic approach. The text is suitable for undergraduate courses in geometry and will be useful supplementary reading for students of mechanics and mathematical methods | 677.169 | 1 |
More Views
With an overwhelming half a million Filipino students joining the nationwide elimination rounds, an average of 200 DepEd Divisions participating annually, and with all 17 regions conducting the Regionals Finals, the Metrobank-MTAP-DepEd Math Challenge (MMC) has definitely earned the reputation as the widest and most sought-after math competition in the country over the years.
The Metrobank Foundation Inc., Mathematics Teachers Association of the Philippines, and the Department of Education proudly share this book to cater to the regular and potential participants of the MMC. The book offers challenging and engaging questions designed to test the students' knowledge and understanding of the different math concepts as it aims to establish an enjoyable atmosphere of learning.
It is in this hope that the book will bring another opportunity to hone the skills of students in math, teaching them the values of hard work, discipline, and team spirit. | 677.169 | 1 |
Stationary points
This activity shows students how to use differentiation to find stationary points on the curves of polynomial functions. It includes the use of to determine the nature of the stationary point. Students will learn how to use this and other information to sketch the curves, then use graphic calculators to check their answers.
Mean values
Students learn how to find the mean values of quantities varying with time. This involves finding the area under graphs, initially by using geometrical formulae for areas. It is followed by the use of integration in a variety of real life situations.
Gradients
An introduction to differentiation. Students are shown how to use a spreadsheet to find the gradients of functions of the form xn. This leads to the general rule for gradients of functions of this type. | 677.169 | 1 |
The Mathematics of Money: Math for Business and Personal Finance covers all the traditional topics of the business math course, but with a more algebraic focus than many of the texts currently on the market. The text develops a solid understanding of percent and interest early, then applies that foundation to other applications in business and personal finance. While it is appropriate for students of all levels, the book takes the approach that even if students are coming into the class with only high school math, neither they nor the instructor need to be afraid of algebra; it takes care to clearly present and reinforce the formulas given and to consistently return to them and apply the material to contexts that are relevant to the students.
This text offers an accessible yet rigorous development of many of the fields of mathematics necessary for success in investment and quantitative finance, covering topics applicable to portfolio theory, investment banking, option pricing, investment, and insurance risk management. The approach emphasizes the mathematical framework provided by each mathematical discipline, and the application of each framework to the solution of finance problems. It emphasizes the thought process and mathematical approach taken to develop each result instead of the memorization of formulas to be applied (or misapplied) automatically. The objective is to provide a deep level of understanding of the relevant mathematical theory and tools that can then be effectively used in practice, to teach students how to "think in mathematics" rather than simply to do mathematics by rote | 677.169 | 1 |
Presentation (Powerpoint) File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1.02 MB | 12 pages
PRODUCT DESCRIPTION
This is a powerpoint presentation used to teach Algebra 1 students about the Function Machine, Function Rules, Input/Output and Domain & Range. The presentation begins with a diagram of the function machine with input, output and rule labeled on the machine. The next two slides define domain, range and rule for the student. Then, the presentation explains using baby steps what a rule is and how one uses it. I begin with lingo that the student can understand and end with function notation. After that, 3 more examples follow using the function machine schematic and function notation. Finally, 3 more examples follow using function notation only. Key included in the notes section for each example. 12 slides total.
This product can also be found in my Functions Unit Bundle
which contains an entire unit of Functions & Relations, Domain & Range, Independent/Dependent Variables assignments, activities, quizzes, foldables, a project and a set of 10 exit tickets - all the work is done for you in this bundle!
All of my products are color-coded and sorted by topic. To find more products on Functions & Relations, Independent/Dependent Variables, Domain & Range, etc., please return to my store and look for the dark purple background or choose the Functions, Domain & Range | 677.169 | 1 |
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Assessment & LEarning in Knowledge Spaces ALEKS is a web-based assessment and learning system for mathematics that uses artificial intelligence to accurately determine what you know and what you are ready to learn next.. Over the course of this term, you will be required to work in ALEKS to: Work on mastering new concepts in the Learning Mode through your PIE Complete periodic & proctored Assessments Complete Quizzes & participate in weekly activities What is ALEKS?
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Assessment & LEarning in Knowledge Spaces Grading Successful completion will be given a letter grade of A, B or C after: Mastering all 3 modules (13 Objectives Sets) AND Earning a score of ≥ 80% on a proctored assessment AND Scoring ≥ 70% on the Exit Exam. Completing ≥ 1 Module will earn as "S" (Satisfactory Progress) which allows you to enroll in the same course again without academic penalty. This Course may be repeated up to 3 times (9 Credits). *****On the 3 rd attempt a letter grade will be assigned. What is ALEKS?
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Assessment & LEarning in Knowledge Spaces What is ALEKS?
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Syllabus
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Assessments Once you have registered, ALEKS will take you through a brief tutorial on how to navigate the system and enter your answers. You will then need to complete an initial Assessment Assessments
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Assessments Upon completion of a given Assessment, ALEKS will generate a pie chart of what you know and what you are ready to learn next. This is called MyPie. The dark portions of each piece of your pie show what you have mastered in that area of the course, while the lighter portions show what you have yet to learn. Your goal is to fill in your pie as completely as possible by the end of the term. Assessments
11 Assessments
12 Notice the Bottom. It tells you how many more topics you need to complete the current Objective. Assessments
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success There are 2 different views of the "Pie" Full View has: All topics available and Dotted Line for current Objectives Objective Pie View: All Topics in Current Objective in 3 slices Goal Topics Prerequisite Topics Other Topics – topics from earlier not yet mastered You may choose which you prefer. Assessments
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success To stay on track in this course, you will be required to meet various Intermediate Objectives in your pie as we progress through the term. You will be given the "Plan For Success!" Form This form will help you stay on target to finish all the objectives by the end of the semester. You will be required to fill it in once a week. Assessments
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Your HOMEWORK Is the PIE To begin working on filling in your pie, drag your mouse over one of the pieces you need to work on (they have an arrow next to the pie slice name). Doing so will display a list of the topics you are ready to work on in that area of the pie. Now choose the topic in the list that you would like to work on next and click on it to enter the Learning Mode. Assessments This is your Homework!
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Learning Mode In the Learning Mode, you will be presented with problems. If you know how to solve a problem, enter the answer and click Next. If you do not know how to solve a particular problem, you may click on the Explain button for help. Clicking on Explain will allow you to view a step-by-step explanation of that specific problem. Some additional materials may also be available such as videos and animations. When you are ready to solve similar questions, click on the Practice button. Learning Mode
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Learning Mode When you return, you will be presented with a new problem to try and solve. Enter your answer and click Next. Once you are able to correctly answer a specified number of problems in a row without any help (i.e. without clicking on Explain), that topic will be filled in on your pie. Important Note: Having topics added to your pie is not permanent! If you fail to show mastery of a given topic on a future Assessment, it will be removed from your pie and you will need to return to the Learning Mode to practice additional problems to have it filled back in on your pie. Learning Mode
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Assignments Under Assignment Link Quizzes 5% These can be taken an unlimited amount of times with the best score added to the grade book. Do these as you finish each objective. Assignments
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Assignments To view all of your assignments for a given month, click on the Calendar tab. On the Calendar, you will be able to view all scheduled Assessment Dates and SSC's Important Dates Assignments DATES ARE HERE
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success ALEKS + Effort = Success Do not wait until the last minute to meet a deadline in ALEKS - you'll make it harder on yourself to keep pace ALEKS will always take you back to where you've left off when logging out (even during an assessment) Active use of ALEKS will dramatically increase your performance and success in this class and future ones
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Remember… ALEKS provides learning based on your specific needs, not simply "one size fits all" Periodic Assessments will ensure you are mastering concepts – Expect them after you complete each set of Objectives 2 Comprehensive Assessments will be given during class. Midpoint of class and at the end. These will be for a grade. Take each Assessment seriously as your "Pie" will be affected by your performance.
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Any Questions? Lets Get Started
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success How to Log Onto Campus Computers ALL CAPITAL LETTERS User: First Initial Last Name Password: Initial/Yr/Mo/Day (of your birth) WRITE THIS DOWN
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Be sure to Write Down Your User Name & Password for SSC & for ALEKS
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Go to ALEKS.COM
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Registration & Help To get started: 1.Go to 2.Click on "Sign Up Now!" Registration & Help
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success 2-WEEK Access Code : This is not an extra 2 weeks. On Board
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success Once you complete the login process you will be taken to an assessment. Complete the assessment and Begin work on your Pie
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What is ALEKS?AssessmentsAssignmentsLearning ModeRegistration & HelpKeys to Success The End Actually it's just the Beginning Welcome to class | 677.169 | 1 |
2 Contents 1. Mathematics and Arts subject at the Kaposvár University 2. Experience Workshop at the Kaposvár University 3. Zometool in the education of three-dimensional geometry
3 Sciences and arts at the Faculty of Pedagogy Mathematics and arts at the Faculty of Arts Optional subject at the Faculty of Pedagogy Special Needs Teacher and Primary School Teacher Optional subject for all students of the University 26 correspondence students 19 full time students Majors: Agricultural Engineer, Agricultural Rural Development, Nature Protection Engineer, Animal Production Engineer, Communication and Media Science, Primary School Teacher-Music, Special Needs Teacher, Computer Librarian, Finance and Accounting
4 The aim of the subject s education: A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. Godfrey Harold Hardy Mathematics brings in spiritual powers that are not very much different from those required by poetry and arts." Dan Barbilian To picture the unity of the sciences and arts using mathematical train of thought illustrated with artworks. To develop the problem solving skill by mathematical games and by the analysis of the mathematical content hidden in the artworks. We approach the topics through minimal formalism emphasizing the intellectuality of mathematics.
6 Lecture Practice with hand -- ZomeTool building with Computer -- drawings, graphics Inscape, Cali, Euler3D, etc. Requirements: self made creation, work connected to either of the topics, by hand, or by computer, or essay
7 The works of special needs teacher student in 2010 by Inkscape program
8 Pattern 1 dolphins d o l p
9 Pattern 2 flowers
10 Pattern 3
11 Pattern 4
12 Pattern 5
13 Pattern 6 birds
14 Pattern 7 similar to folk motifs
15 Fractals The smaller, the darker
16 rosettes
17 The students helped me to organize a ZomeTool exhibition at the Training and Practise Conference.
18 Special needs teacher student in Photos in connection with the topics Primary school teacher, correspondence student in 2011 On the basis of 5st year pupils
19 Nature Protection Engineers in 2011
20 Communication and Media Science student in 2011
21 1st year Agricultural Rural Development student 6 different prisms can be made of 8 small triangular prism and meanwhile 10 coherent pictures can be constracted Now she is working on Euler3D animation
26 Participants: 300 high school students and their teachers, in 2009 and in 2010 too.
27 How can the ZomeTool be used in the education of the How can the ZomeTool be used in the education of the 3-dimensional geometry?
28 Why the three-dimensional geometry? The most problematical topic of mathematics education The suggested number of lesson is less than 30 during the 4 years of high school in Hungary It is difficult to make good figure for teacher and for students too The students have the worst results in three-dimensional geometry in the matura examination The importance of demonstration
Geometry and Measurement of Solid Figures Activity Set 4 Trainer Guide Mid_SGe_04_TG Copyright by the McGraw-Hill Companies McGraw-Hill Professional Development GEOMETRY AND MEASUREMENT OF SOLID FIGURES
Nets of a cube puzzle Here are all eleven different nets for a cube, together with four that cannot be folded to make a cube. Can you find the four impostors? Pyramids Here is a square-based pyramid. A
Level A 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite 2. What is another name for 3-D shapes? A) Polygon B) Polyhedron C) Point 3. A 3-D shape has four sides and a triangular
Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in
This publication is designed to support and enthuse primary trainees in Initial Teacher Training. It will provide them with the mathematical subject and pedagogic knowledge required to teach 3-D geometry
1 P a g e Grade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area Lesson Topic I Can 1 Area, Perimeter, and Determine the area of various shapes Circumference Determine the perimeter of various
Connect the dots on the isometric dot paper to represent the edges of the solid. Shade the tops of 12-1 Representations of Three-Dimensional Figures Use isometric dot paper to sketch each prism. 1. triangular
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,
School of the Art Institute of Chicago Research is what I am doing when I don t know what I m doing. Wernher von Braun Geometry of Art and Nature Frank Timmes ftimmes@artic.edu flash.uchicago.edu/~fxt/class_pages/class_geom.shtml
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
MA.FL.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three-dimensional composite shapes.
Surface Area of Rectangular & Right Prisms Surface Area of Pyramids Geometry Finding the surface area of a prism A prism is a rectangular solid with two congruent faces, called bases, that lie in parallel
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. epresentations etoolkit Algorithms Practice EM Facts Workshop Game
SURFACE AREA AND VOLUME In this unit, we will learn to find the surface area and volume of the following threedimensional solids:. Prisms. Pyramids 3. Cylinders 4. Cones It is assumed that the reader has
Accelerated AAG 3D Solids Pyramids and Cones Name & Date Surface Area and Volume of a Pyramid The surface area of a regular pyramid is given by the formula SA B 1 p where is the slant height of the pyramid.
Dear Grade 4 Families, During the next few weeks, our class will be exploring geometry. Through daily activities, we will explore the relationship between flat, two-dimensional figures and solid, three-dimensional
CHAPTER A Lateral and Surface Area of Right Prisms c GOAL Calculate lateral area and surface area of right prisms. You will need a ruler a calculator Learn about the Math A prism is a polyhedron (solid
Lesson 18: Determining the Surface Area of Three Dimensional Figures Student Outcomes Students determine that a right rectangular prism has six faces: top and bottom, front and back, and two sides. They
E XPLORING QUADRILATERALS E 1 Geometry State Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. Statement of Purpose: The activities in this student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
: Finding Lateral Areas and Surface Areas of Prisms 2. Find the lateral area and surface area of the right rectangular prism. : Finding Lateral Areas and Surface Areas of Right Cylinders 3. Find the lateral
Geometry: Unit 1 Vocabulary 1.1 Undefined terms Cannot be defined by using other figures. Point A specific location. It has no dimension and is represented by a dot. Line Plane A connected straight path.
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA TUTORIAL 4 AREAS AND VOLUMES This is the one of a series of basic tutorials in mathematics aimed at beginners or anyone wanting to refresh themselves on fundamentals.
Concept: Solids Volume and Surface Area COMPUTER COMPONENT Name: Instructions: Login to UMath X Hover over the strand: Measurement and Geometry Select the section: Solids Volume and Surface Area Work through
Chapter 8 Opener Try It Yourself (p. 5). The figure is a square.. The figure is a rectangle.. The figure is a trapezoid. g. Number cubes: 7. a. Sample answer: 4. There are 5 6 0 unit cubes in each layer.
SOLIDS, NETS, AND CROSS SECTIONS Polyhedra In this section, we will examine various three-dimensional figures, known as solids. We begin with a discussion of polyhedra. Polyhedron A polyhedron is a three-dimensional
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
MENSURATION Definition 1. Mensuration : It is a branch of mathematics which deals with the lengths of lines, areas of surfaces and volumes of solids. 2. Plane Mensuration : It deals with the sides, perimeters
Question 1. (AQA June 2003 Intermediate Paper 2 Calculator OK) A large carton contains 4 litres of orange juice. Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton. How
Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,
Unit 8 Geometry Introduction In this unit, students will learn about volume and surface area. As they find the volumes of prisms and the surface areas of prisms and pyramids, students will add, subtract,
Second Quarter Assurances The student will explore the inverse relationship between addition and subtraction. The student will explore numbers in depth using a number line, 100s chart, and place value.
CBA Volume: Student Sheet 1 For each problem, decide which cube building has more room inside, or if they have the same amount of room. Then find two ways to use cubes to check your answers, one way that
CHAPTER 5 Units of Area c GOAL Convert between units of area and determine the scale factor of two. You will need a ruler centimetre grid paper a protractor a calculator Learn about the Math The area of
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
alternate interior angles two non-adjacent angles that lie on the opposite sides of a transversal between two lines that the transversal intersects (a description of the location of the angles); alternate
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
exploration Scaling Three-Dimensional Figures A rectangular box can be scaled up by increasing one of its three dimensions. To increase one dimension of the box, multiply the dimension by a scale factor.
Florida Geometry EOC Assessment Study Guide The Florida Geometry End of Course Assessment is computer-based. During testing students will have access to the Algebra I/Geometry EOC Assessments Reference
Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential
Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:
Chapter 1 Vocabulary coordinate - The real number that corresponds to a point on a line. point - Has no dimension. It is usually represented by a small dot. bisect - To divide into two congruent parts.
Student Name: Teacher: Date: District: Description: Miami-Dade County Public Schools Geometry Topic 7: 3-Dimensional Shapes 1. A plane passes through the apex (top point) of a cone and then through its
MD5-26 Stacking Blocks Pages 115 116 STANDARDS 5.MD.C.4 Goals Students will find the number of cubes in a rectangular stack and develop the formula length width height for the number of cubes in a stack.
Brief Overview: Warning! Construction Zone: Building Solids from Nets In this unit the students will be examining and defining attributes of solids and their nets. The students will be expected to have
HOME LINK Line Segments, Rays, and Lines Family Note Help your child match each name below with the correct drawing of a line, ray, or line segment. Then observe as your child uses a straightedge to draw
Perfume Packaging Gina would like to package her newest fragrance, Persuasive, in an eyecatching yet cost-efficient box. The Persuasive perfume bottle is in the shape of a regular hexagonal prism 10 centimeters
A Short Introduction to Computer Graphics Frédo Durand MIT Laboratory for Computer Science 1 Introduction Chapter I: Basics Although computer graphics is a vast field that encompasses almost any graphical
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in
The Most Widely Used Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s Mathematics International (Elementary School, s 1 to 6) and Mathematics International (Lower Secondary
Math syllabus Kindergarten 1 Number strand: Count forward and backwards to 10 Identify numbers to 10 on a number line Use ordinal numbers first (1 st ) to fifth (5 th ) correctly Recognize and play with | 677.169 | 1 |
Academic Skills Center for Accounting, Econ, and Math
Room C201
The Math Spot is an academic skills center located in C-201 that provides tutoring services to students who are enrolled in an accounting, economics, or mathematics course. The Math Spot's mission and goal is to create an open atmosphere that promotes learning and provides services that assists students in achieving academic success. The center coordinates and provides study skills training for students. Cooperative and collaborative learning is also provided at the Math Spot as students utilize the area to meet with study groups and peer-tutors. | 677.169 | 1 |
Synopsis
This CD complements the Spectrum 9 text and E-book. It has resources written for the 2004 NSW Syllabus Stage 5. For each chapter, the CD contains: editable tests (2 per chapter), Analysis questions, Additional activities (several per chapter), MathsCheck and Keeping Mathematically Fit material. The CD also contains the files from the student CD - spreadsheet activities, web investigation/research activities, geometry activities and investigations. There is a link to the GSP website so teachers can download the demo. The Cabri demo application has been bundled onto the CD ROM. There are general teacher support resources, these include: a teaching schedule, teaching program, outcomes checklist, non chapter specific puzzles and investigations, sample worked investigation, grid masters and notes for the teacher for the activities from the student CD. | 677.169 | 1 |
Saxon Math 7/6: Homeschool Set/Box / Edition 1
Overview Enrichment in nature and have a real world connection. One included in the majority of lessons. Math Intermediate 4: 817 pages. Math Intermediate 5: 858 pages Homeschool Testing Book: 23 Tests for homeschooling, Answer Key for all homeschool tests. Solutions Manual: Full step-by-step solutions to all Lesson Practice problems, Written Practice problems and Investigations questions. Power Up Workbook: Contains consumable pages for students to complete Power Up exercises which Include Facts, Mental Math, and Problem Solving. | 677.169 | 1 |
Math Objects is a math template library written in C++ using
generic programming techniques. It can handle different kinds of
mathematical objects in a consistent way. In order to use the
"Math Objects" library, the user only has to include the
header files he needs (e.g. Matrix.h, Polynomial.h etc.). In order to
compile the library the user needs an ISO/IEC 14882:1998 standard
compliant C++ compiler (e.g. one that supports partial template
specializations).
The math library has math objects like matrices, polynomials,
rational functions, extended precision numbers, complex numbers etc.
that can be handled in a similar way like basic numerical types (e.g.
integers or floating point numbers). One can access properties of a
mathematical type through a (partial) specialization of a traits class
for that type (AlgebraicTraits). Having the traits classes to expose
properties of mathematical objects, one can define for example
matrices of polynomials having extended precision complex coefficients
and apply to them basic linear algebra algorithms using normal C++
syntax. This library also implements two functions using two
deterministic algorithms that compute the Smith form for polynomial
matrices, and the Smith-McMillan form of a transfer functions matrix
also keeping track of the transformation matrices. These algorithms
can be used to describe a MIMO (multi input-multi output) system by
means of its zeros and poles and also give the MFD (matrix fraction
description) of the system. | 677.169 | 1 |
Head First Algebra by Tracey Pilone
Book Description
This book is algebra with a jolt of fresh air and maybe a whiff of a caffeinated beverage. It's a complete algebra learning experience that engages readers by having them play games, solve puzzles, ponder mysteries, learn the fundamentals of Algebra I that current students are struggling with, or parents have long since forgotten. While readers experience the joy of math, they'll learn (almost without noticing) everything they always wanted to know but were afraid to ask about natural numbers, exponents, graphs and graphing, polynomials, factoring, algebraic fractions, solving equations, the quadratic formula, and much more. Like all of the books in our "Head First" series, "Head First Algebra" uses a visually rich format designed for the way the brain works. Based on the latest research in neurobiology, cognitive science, and learning theory, this book combines words and pictures in a playful, mixed-media style that not only helps readers understand a subject, but also to remember it.
Buy Head First Algebra book by Tracey Pilone from Australia's Online Bookstore, Boomerang Books.
Books By Author Tracey Pilone
Have a killer app idea for iPhone and iPad? Head First iPhone and iPad Development will help you get your first application up and running in no time. You'll not only learn how to design for Apple's devices, you'll also master the iPhone SDK tools -- including Xcode -- and Objective-C programming principles to create eye-catching, top-selling apps.
Author Biography - Tracey Pilone
Tracey Pilone is a technical writer supporting mission planning and RF analysis software for the Navy. She is a licensed Civil Engineer who has worked in construction management for several years in Washington DC. She has a Civil Engineering degree from Virgina Tech and a Masters of Education from the University of Virginia.Dan Pilone, a Senior Software Architect with Blueprint Technologies, Inc., has designed and implemented systems for Hughes, ARINC, UPS, and the Naval Research Laboratory. He's written several books on software development, including "UML 2.0 in a Nutshell" (9780596007959) and "UML 2.0 Pocket Reference" (9780596102081 | 677.169 | 1 |
There are many books which explain about these topics but somewhere they miss the critical part of it which is the important.Most of them never try to relate algebra to their graphical representation while solving or simply understanding the | 677.169 | 1 |
ISBN 9788126546497
ISBN-10
8126546492
Binding
Paperback
Number of Pages
332 Pages
Language
(English)
Subject
Geometry
This volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. It presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections.
Table of contents :-
· Differentiable Manifolds.
· Theory of Connections.
· Linear and Affine Connections.
· Riemannian Connections.
· Curvature and Space Forms.
· Transformations.
· Appendices.
· Notes.
· Summary of Basic Notations.
· Bibliography.
· Index. | 677.169 | 1 |
Product Description
The Principles of Mathematics Book 2 focuses on the essential principles of algebra, coordinate graphing, probability, statistics, functions, and other important areas of mathematics; throughout, a biblical worldview focus is emphasized. Students will discover that all of math boils down to a way of describing God's world and is a useful means we can use to serve and worship Him.
The Teacher Guide includes student worksheets, a weekly lesson schedule, quizzes, and an answer key. Worksheets include a variety of exercises including review, challenge questions, drill questions, fill-in-the-blanks, word problems, and more. Pages are organized by book, with answer keys in the back. The book page numbers and day number are on the top of the worksheets for easy assignment tracking.
This course covers 1 year of math at the recommended schedule of 30-45 minutes per lesson, 4-5 days a week. Reproducible for homeschool families and small classrooms with under 10 students. Line-listed answer keys. Glossary included. KJV Scripture used. Grades 7-8. Softcover. Per | 677.169 | 1 |
Primary Materials
Exercise sheets: There will be three sheets: 1. 2. and 3.. There are some exercises mentioned in small font at the bottom of some slides: these also appear in the exercise sheets. Exercise SHEETS 1+2+3 PDF.
Demonstration programs in Matlab/Octave (this can also be done in gnuplot I expect): poly.m.
Learners' Guide: What Was Lectured
Part 10 was not lectured : Slides 165 (weber-Fechner) to 177 (Musical Instrument Physical Modelling).
Slides from 186 (Moniac) onwards were not covered.
Two example Tripos question fragments for the new material beyond the older Floating Point course are
HERE Q1.
and will be HERE Q2.
Regarding the new algorithms lectured, detailed coding is unlikely to be asked about but candidates must have
full knowledge of their purpose and general behaviour:
Base Conversions: the general approach for each of the four and why they differ.
Newton Raphson: it's formula, basis, convergence and be able to apply it.
Cordic: how the algorithm works (a decomposition
into angles with easy to multiply tangents) and answer a question about it given a reminder of the code.
Chebyshev Basis: to know that a good choice of basis vectors or knot positions
will give a better result than a simplistic truncation of Taylor or
evenly-spaced (cardinal) interpolation. Anything else needed for
examination questions related to this will be provided in the
question.
Gaussian Elimination: a matrix phrasing of the standard technique to solve simulataneous linear equations and the need for pivoting and forwards and backwards substitution (the minor difference between Doolitle and Crout was not lectured).
Cholesky Decomposition: that it is a sort of square-root of a matrix
and it saves effort in Gaussian elimination for multiple right-hand-sides
by not having to generate and save separate L and U matrices. One matrix
serves for both.
FDTD Simulation: what a forward difference is, the sort of error they introduce and that better approaches exist but require more design effort.
SPICE Nodal Analysis: to understand the three flow quantities (conductance, potential and flow rate) and how to phrase
these in a matrix form GV=I suitable for solving.
SPICE Non-linear and time-varying components: that these can be handled by introducing a conductance equal to dI/dV and a flow generator
to offset the origin. And that the non-linear requires iteration within a time step whereas time-varying components themselves are handled with forward differences.
Secondary Materials
Numerical Analysis is the oldest discipline in Computer Science. You will find many dusty books in your College library covering the subject. These will contain relevant chapters. Also, Wikipedia explains all of the topics we shall cover. | 677.169 | 1 |
represent these three-dimensional structures with two-dimensional drawings and with words, students gain mathematical knowledge and proficiency. In the final activity students begin with flat geometric shapes and build a model house for one of two climates: a hot, rainy climate or a cold, snowy climate. The sections of the book are: "Visualizing and Representing Cube Structures,""Describing Properties and Functions of Shapes," and"Visualizing and Representing Polygons and Polyhedra." Appendices include: designing homes for different climates, a scoring rubric, sample final projects, shape templates, and reproducible blackline masters in both Spanish and English. Mathematical themes encountered are: multiple representations of shapes and structures, visualization, properties and components of shapes, and communication. A unit overview discusses shorter routes through the unit, necessary materials, computer possibilities, and student assessment. (Contains 14 references.) (MKR) | 677.169 | 1 |
Compressed Zip File
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3.5 MB | 32 pages
PRODUCT DESCRIPTION
Chapter 12 - Areas and Volumes of Solids
This is the twelfth chapter in a Geometry course. This chapter bundle consists of a PowerPoint presentation used to teach students vocabulary, theorems, formulas, and applications involving areas and volumes of solids. Visual representations and practice problems are included, along with fill-in-the-blank notes for students.
Note: These resources are created to correspond with Chapter 12 in the textbook "Geometry by McDougal Littell, Jurgensen".
If you would like to purchase my whole Geometry unit as a bundle, please go to the link below and save $30!99. | 677.169 | 1 |
About this eBook
Preface o N be C ER re pu T bl is h e Through the years, from the time of the Kothari Commission, there have been several committees looking at ways of making the school curriculum meaningful and enjoyable for the learners. Based on the understanding developed over the years, a National Curriculum Framework NCF was finalised in 2005. As part of this exercise, a National Focus Group on Teaching of Mathematics was formed. Its report, which came in 2005, highlighted a constructivist approach to the teaching and learning of mathematics. The essence of this approach is that children already know, and do some mathematics very naturally in their surroundings, before they even join school. The syllabus, teaching approach, textbooks etc., should build on this knowledge in a way that allows children to enjoy mathematics, and to realise that mathematics is more about a way of reasoning than about mechanically applying formulae and algorithms. The students and teachers need to perceive mathematics as something natural and linked to the world around us. While teaching mathematics, the focus should be on helping children to develop the ability to particularise and generalise, to solve and pose meaningful problems, to look for patterns and relationships, and to apply the logical thinking behind mathematical proof. And, all this in an environment that the children relate to, without overloading them. This is the philosophy with which the mathematics syllabus from Class I to Class XII was developed, and which the textbook development committee has tried to realise in the present textbook. More specifically, while creating the textbook, the following broad guidelines have been kept in mind. no tt The matter needs to be linked to what the child has studied before, and to her experiences. The language used in the book, including that for word problems , must be clear, simple and unambiguous. Concepts processes should be introduced through situations from the children s environment. For each concept process give several examples and exercises, but not of the same kind. This ensures that the children use the concept process again and again, but in varying contexts. Here several should be within reason, not overloading the child | 677.169 | 1 |
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0.76 MB | 6 pages
PRODUCT DESCRIPTION
In this task, students will match a given function table to an appropriate graph based on the characteristics of the data. This is a great activity for 8th graders or High School students who are interpreting and analyzing linear and non-linear functions. CCSSM Standards addressed are: 8.F.1, 8.F.2, 8.F.4, 8.F.5, F-LE.1, and F-IF.4. Copy the student handout for each student (or pair of students if you prefer). Each student will need a copy of the graphs that need to be cut out and glued to the student handout. As students are working, the teacher should observe the similarities and differences among student solutions. Conclude the task by having students share their matches and justify their reasoning. The goal is to teach students to use data to make a reasonable judgment about the graphical representation for each scenario and therefore, you may accept multiple graphs for some. Suggested answer key | 677.169 | 1 |
self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous | 677.169 | 1 |
The MSU College Readiness Mathematics Program provides students with the tools they need to become proficient and independent learners of mathematics with the knowledge, attitudes and skills needed to succeed both academically and personally. All enhanced mathematics courses at MSU are taught in theDepartment of Mathematics and Physics.
Student Goals:
Prepare for a general education math course
Communicate accurately and effectively
Think and reason analytically
Function responsibly in the natural, social and technological environment
Which math course
should I take?
Incoming students who have an ACT subtest score in mathematics
of less than 19 are required to take the KYOTE
placement test. The KYOTE placement test is administered through the Department
of Mathematics and Physics. For information about taking the KYOTE test, call
606-783-2930.
Morehead State offers three enhanced courses in
mathematics. Pre-Algebra (MATH 090) enhances logical reasoning and helps
students develop methods of solving and graphing linear equations and problems
involving real-life applications. Beginning Algebra (MATH 091) helps students
improve their mathematical foundation by helping students further develop
logical thinking and problem solving skills. The final college readiness math
course, Intermediate Algebra (MATH 093), prepares students to take College
Algebra, which is a required course for many degrees.
Students whose ACT Math score is less than 19 must enroll in MATH 090, followed
by MATH 091. Students who scored a 19 on the Math ACT should enroll in MATH
093. | 677.169 | 1 |
PDF (Acrobat) Document File
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4.41 MB
PRODUCT DESCRIPTION
This is a task on the concept of linear and non-linear functions.
This is a 5 page team task. In this task students will take turns as "Team Mathematician". Students will review academic vocabulary. Students will graph linear and non-linear functions using a table. Students will compare a linear function and an exponential function. Students will explain and justify their reasoning in complete sentences.
* This task will have your classroom rich in mathematical discourse.
*** My "Team Tasks" are created to be completed in Teams of four. Each student is a team member: Team Member (A), Team Member (B), Team Member (C), and Team Member (D). Each team member is required to participate regularly throughout the "Team Task" as Team Mathematician. My cooperative learning "Team Tasks" require the students to be actively involved throughout the entire "Team Task". The Role of "Team Mathematician" alternates throughout the "Team Task". My "Team Tasks" are designed to elicit mathematical discourse within the teams | 677.169 | 1 |
Numerical Computing with Simulink: Volume 1 by Richard J. Gran
Book Description
An introduction to computer-aided system design with Simulink(R): a robust, accurate, and easily used simulation tool. The author takes readers on a tour of the Simulink environment that shows how to develop a system model and execute the design steps needed to make the model into a functioning design laboratory. Included along the way are the mathematics of systems: difference equations and z transforms, ordinary differential equations (both linear and nonlinear) and Laplace transforms, and numerical methods for solving differential equations. Because specific applications require specific tools, this book introduces additional software packages that work within the Simulink environment. The author covers over 70 applications taken from several disciplines, and describes numerous tested, annotated, and reusable models and blocks to help readers apply the book's material to their own applications. Ideal for practising engineers, and students in model-based design and numerical methods. Additional material is also available online.
Author Biography - Richard J. Gran
Richard J. Gran is CEO of The Mathematical Analysis Company, a group of affiliates headquartered in Norfolk, Massachusetts, that develop mathematical models and simulations of complex engineering | 677.169 | 1 |
This book studies curriculum materials and their uses, investigations of teacher adaptation and use of those materials in mathematics education. It connects the design of curricula and the use of curricula by teachers. more...
This book offers an exploration of tools and mathematics and issues in mathematics education related to tool use, from pre-history to future directions in the field. It includes coverage of curriculum, assessment, and policy design. more...
A significant driver of recent growth in the use of mathematics in the professions has been the support brought by new technologies. Not only has this facilitated the application of established methods of mathematical and statistical analysis but it has stimulated the development of innovative approaches. These changes have produced a marked evolution... more... | 677.169 | 1 |
Structural Mechanics: Modelling and Analysis of Frames and Trusses... (More) theory of structural mechanics; (2) skills in modelling and analysis of structures and (3) ability to evaluate and improve the efficiency of proposed structural configurations in a design process.
Key features:
- Deals with modelling and analysis of trusses and frames using a systematic matrix formulated displacement method with the language and flexibility of the finite element method
- Element matrices are established from analytical solutions to the differential equations
- Provides a strong toolbox with elements and algorithms for computational modelling and numerical exploration of truss and frame structures
- Discusses the concept of stiffness as a qualitative tool to explain structural behaviour
- Includes numerous exercises, for some of which the computer software CALFEM is used. In order to support the learning process CALFEM gives the user full overview of the matrices and algorithms used in a finite element analysis
Structural Mechanics: Modelling and Analysis of Frames and Trusses is an ideal textbook for undergraduate students. Computer programs that support the book can be downloaded for free at (Less)
@misc{72dfa00f-21b8-4cab-a59b-3b1b4c486abe,
abstract = { <br/><br>
<br/><br>
Three key learning objectives are supported: (1) knowledge of the basic theory of structural mechanics; (2) skills in modelling and analysis of structures and (3) ability to evaluate and improve the efficiency of proposed structural configurations in a design process.<br/><br>
<br/><br>
Key features:<br/><br>
- Deals with modelling and analysis of trusses and frames using a systematic matrix formulated displacement method with the language and flexibility of the finite element method<br/><br>
- Element matrices are established from analytical solutions to the differential equations <br/><br>
- Provides a strong toolbox with elements and algorithms for computational modelling and numerical exploration of truss and frame structures<br/><br>
- Discusses the concept of stiffness as a qualitative tool to explain structural behaviour<br/><br>
- Includes numerous exercises, for some of which the computer software CALFEM is used. In order to support the learning process CALFEM gives the user full overview of the matrices and algorithms used in a finite element analysis<br/><br>
<br/><br>
Structural Mechanics: Modelling and Analysis of Frames and Trusses is an ideal textbook for undergraduate students. Computer programs that support the book can be downloaded for free at
author = {Olsson, Karl-Gunnar and Dahlblom, Ola},
isbn = {978-1-119-15933-9},
language = {eng},
pages = {326},
publisher = {ARRAY(0x58f8790)},
title = {Structural Mechanics: Modelling and Analysis of Frames and Trusses},
year = {2016},
} | 677.169 | 1 |
University of Manitoba, Mathletics 2009
Seesion 1: Mathematical induction, 15 September 2009
1
1.1
Facts and denitions
The two main principles of mathematical induction
Mathematical induction (abbreviated MI) is a proof technique that applies to many math
University of Manitoba Mathletics
All Day Practise #1 Nov. 5, 2005, 912
INSTRUCTIONS
These problems are designed to be fun as well as challenging. Partial credit will be given for
signicant progress, but a thorough job on a few problems is worth more
Linear Algebra II
Mathematics 2352
Assignment #2 Key
December 22, 2008
NOTES: Im making a key for this one because Im still not seeing what I expect on paper.
Mostly, Im seeing far too much. Some of you appear to feel that lots of detail make a good solut
Number Theory
University of Manitoba, Mathletics 2009
1
Facts and denitions
Modular Arithmetic: Let a, b, and m be integers, with m = 0. We say that a and b are
congruent modulo m if m divides a b. We denote this by a b (mod m).
Properties:
a a (mod m) ( | 677.169 | 1 |
In this Section
Mathematics
The Mathematics Department is devoted to helping all students develop critical reasoning skills and the ability to use mathematical arguments and logical reasoning to solve problems. Teachers stress manipulative skills and provide real-life application and visual tools. The mathematics program is designed to ensure all students have a firm knowledge of prerequisite concepts and skills before moving on to more advanced topics. Multiple paths allow students to advance based on mastery of each level. | 677.169 | 1 |
latest edition of Swokowski and Cole's PRECALCULUS: FUNCTIONS AND GRAPHS retains the elements that have made it so popular with instructors and students alike: clear exposition, an appealing and uncluttered layout, and applications-rich exercise sets. The excellent, time-tested problems have been widely praised for their consistency and their appropriate level of difficulty for precalculus students. The book also provides calculator examples, including specific keystrokes that show students how to use various graphing calculators to solve problems more quickly. The Twelfth Edition features updated topical references and data, and continues to be supported by outstanding technology resources. Mathematically sound, this book effectively prepares students for further courses in mathematics.
Additional Product Information
Features and Benefits
Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for this text to encourage the practice that's critical for concept mastery.
Many exercises have online tutorials associated with them. These exercises are easily identified in the text with icons, making it simple for students to get extra practice as needed. The exercises are also assignable through Enhanced WebAssign®.
Each concept is explained with great care, including step-by-step comments in the solutions of the examples. Graphs, figures, charts, and tables help students interpret graphical data, and accompany many examples.
The text provides many topical examples showing how mathematical concepts have real-life applications.
Each exercise set begins with drill problems and then progresses to more challenging problems. Some exercises ask students to produce and examine a table of values as an aid to solve a problem. Others ask students to interpret some aspect of a given table of values. Many involve graphical solutions.
Each chapter's "Review Exercises" (for which students have access to answers) ask students to put concepts together. These are followed by "Discussion Exercises" that are suitable for small-group work and which vary in difficulty; some are theoretical, while others are application-oriented.
Topic coverage includes the law of growth (or decay) formula and expected value. Different quadratic function forms receive close attention.
What's New
New Chapter Tests at the end of each chapter provide an additional source of exam questions and great practice for students. The new items include straightforward questions based on exercises in the sections as well as questions that require students to stretch their thinking a bit and expand their use of the basic concepts.
Arrow notation is introduced earlier (Section 2.2) and revisited more often in this edition, bolstering precalculus content to more effectively prepare students for calculus topics.
Approximately 20% of the exercises are new or revised, including many featuring updated real data and new applications.
New Examples illustrate numerous topics: find the inverse of a rational function (Section 4.1, with the method for checking presented in a marginal note); predict a quantity using the decay formula (Section 4.3); how to show that an equation is not an identity (Section 6.1); use the subtraction formula for the cosine to find an exact value when given an exact trigonometric value and the sign of another trigonometric function (Section 6.3); and how to find double angle values of other trigonometric functions given that the tangent of an angle is a constant (Section 6.4).
Other new examples: solve a polynomial equation by using the theorem on nth roots (Section 7.6); substitute to aid in solving a system of equations (Section 8.2); find terms of a sequence that is recursively defined in terms of two preceding terms (Section 9.1); given two terms of an arithmetic sequence, find another term using a new formula (Section 9.2); given two terms of a geometric sequence, find another term using a new formula (Section 9.3); and probabilities of a royal flush (Section 9.8).
Learning Resource Bundles
Choose the textbook packaged with the resources that best meet your course and student needs.
Contact your Learning Consultant for more information.
Bundle: Text + Enhanced WebAssign Homework with eBook Access Card for One Term Math and Science
Instructor Supplements
This author-prepared manual includes answers to all text exercises and detailed solutions to most exercises.
PowerLecture
(ISBN-10: 1111573190 | ISBN-13: 9781111573195)(or DVD).
Test Bank
(ISBN-10: 1111573557 | ISBN-13: 9781111573553Text-Specific DVD
(ISBN-10: 1111580960 | ISBN-13: 9781111580964 | 677.169 | 1 |
In order to determine how long it will take them to paint the house, when working together, the following equation may be written: 1/4 x+1/6 x=1. When doing any form of science, whether just a project or a lifetime career choice, you will have to be able to do and understand how to use and apply algebra. In the fraction case, the inverse of a/b is (-a)/b. Abstract math (sometimes called 'pure' or 'higher' math) is based on abstract conceptualizations that usually aren't applied to any non-math setting.
Definitions, examples, and basic properties of rings, integral domains, fields, ideals, congruences, quotient rings, homomorphisms and isomorphisms, fields of quotients. Square roots calculator, contemporary precalculus 4th edition answers, using mod in ti 89, algebra 1 software, calculating order of operations. For this case, an equal calibration for severity may have unbeneficial outcomes if used in clinical treatments. The word "Algebra" literally means the re-union of broken parts based on the origins of Arabic language.
As a teacher of undergraduate mathematics, I want and need to know what these effective methods of teaching abstract algebra are. The course will start from scratch, so it's not that you need to have remembered specific facts. Polynomial rings over a commutative ring. MathOverflow is a question and answer site for professional mathematicians. KEYWORDS: GAP, Listing of all groups of order 64, presentations, elements with their orders, number of conjugacy classes, nilpotency class, centre and commutator subgroup, automorphism and inner automorphism group and the lower central series.
They seem aware that many readers prefer readability over a more pedantic style. Answers To Prentice Hall Florida Mathematics, mathmatic equation, math homework permutations, pre algebra solving simple equaqtions, Algebra 1 System of Equations Worksheet. There are good works on it and there is serious bullshit. This workshop, sponsored by AIM and the NSF, will be devoted to a review of the role played by K-stability, Kollár-Shepherd-Barron-Alexeev (KSBA) stability, GIT stability, and Bridgeland stability in the construction and compactification of moduli spaces in algebraic geometry.
I have kept the old version here for the convenience of readers who have already started to use it, but I recommend that new readers download the new edition. The idea, you see, is either to have the reader imagine something of sufficient magnitude to fill the gap (and the author may or may not provide hints as to the nature of the omission), or to cause the reader to realize and ponder the insignificance of the omitted detail relative to its effect on the salient character or characters.
I also still don't get roots and fractional exponents. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text. However, you must write up homework solutions independently and in your own words. Note that coding theory is different from cryptography. Increased number of students enrolled in college-level math courses. But, on the other hand, there will be times you will want to be able to factor expressions into components in order to work with them.
It contains some complex variables and it's not heavy on proofs. The redesign appears to be doing a better job of preparing students for college-level courses. I know that I personally would have loved to have learned vector spaces as a special case of modules, and deduce plenty of the theory of linear spaces from the more general theorems of module theory, but it seems to not be a preferred path for most students since linear algebra is amenable to geometric visualizations, while general module theory is not.
There are over 1400 exercises, at varying degrees of difficulty. Without a doubt, this books more than delivers. Some homework problems will be discussed in class, with the participation of the students and this will be taken into account for the grade. A new edition has been put out every year for the past three years — all editions and the repository may be accessed from the download page. Bing visitors found us today by typing in these math terms: Bing users found our website yesterday by using these math terms: Solving quadratic equations(word problems), nonlinear equations excel, step by step examples of hyperbola problems.
T1 Any common multiple of 2 integers is divisible by the lcm of those 2 numbers. Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. If you need the book that badly, then perhaps you should consider buying it. Either way, I'm keeping Analysis, and I have a day to decide if I'm going to keep Algebra, otherwise I'd have to potentially take a W which would probably be pretty bad for a class I wouldn't retake anytime soon.
Inverse Law: Consider a. (- a. - 2) = a + (-a - 2) + 1 = -1 = e. Also, it does not give pseudo-code for algorithms. This book will not only guide number theory students through their current studies but will also prepare them for more advanced courses should they pursue them in the future. Abstract Algebra is a very advanced level of algebra focused on algebraic structures. There were several threads in the early development of group theory, in modern language loosely corresponding to number theory, theory of equations, and geometry. | 677.169 | 1 |
MAS Documents
Showing 1 to 14 of 14
STUDY GUIDE FOR MAS 2103 MID-TERM EXAM
Be able to do each of the following:
1. Solve a system of equations by Gauss elimination and back-substitution.
2. Solve a system of equation by Gauss-Jordan elimination.
3. Use Gauss-Jordan elimination to find A-1,
MAC 2103
Module 11
lnner Product Spaces II
1
Learning Objectives
Upon completing this module, you should be able to:
1.
2.
3.
4.
5.
6.
Rev.F09
Construct an orthonormal set of vectors from an
orthogonal set of vectors.
Find the coordinate vector with respe
MAC 2103
Module 10
lnner Product Spaces I
1
Learning Objectives
Upon completing this module, you should be able to:
1.
Define and find the inner product, norm and distance in a
given inner product space.
2.
Find the cosine of the angle between two vectors
MAC 2103
Module 9
General Vector Spaces II
1
Learning Objectives
Upon completing this module, you should be able to:
1.
Find the coordinate vector with respect to the standard basis for
any vector in .
2.
Find the coordinate vector with respect to another
MAC 2103
Module 8
General Vector Spaces I
1
Learning Objectives
Upon completing this module, you should be able to:
1. Recognize from the standard examples of vector
spaces, that a vector space is closed under vector
addition and scalar multiplication.
2.
MAC 2103
Module 7
Euclidean Vector Spaces II
1
Learning Objectives
Upon completing this module, you should be able to:
1.
2.
3.
4.
Rev.F09
Determine if a linear operator in n is one-to-one.
Find the inverse of a linear operator in n .
Use the images of th
MAC 2103
Module 6
Euclidean Vector Spaces I
1
Learning Objectives
Upon completing this module, you should be able to:
1. Use vector notation in n.
2. Find the inner product of two vectors in n.
3. Find the norm of a vector and the distance between
two vec
MAC 2103
Module 5
Vectors in 2-Space and 3-Space II
1
Learning Objectives
Upon completing this module, you should be able to:
1. Determine the cross product of a vector in 3.
2. Determine a scalar triple product of three vectors in
3.
3. Find the area of
MAC 2103
Module 4
Vectors in 2-Space and 3-Space I
1
Learning Objectives
In this module, we apply our earlier ideas specifically to vectors
in 2-space, 2, (in the xy-plane) in two dimensions and to
vectors in 3-space, 3,(in the xyz-space) in three
dimensi
MAC 2103
Module 3
Determinants
1
Learning Objectives
Upon completing this module, you should be able to:
1.
Determine the minor, cofactor, and adjoint of a matrix.
2.
Evaluate the determinant of a matrix by cofactor
expansion.
3.
Determine the inverse of
MAC 2103
Module 2
Systems of Linear Equations and
Matrices II
1
Learning Objectives
Upon completing this module, you should be able to :
1.
2.
3.
4.
5.
Find the inverse of a square matrix.
Determine whether a matrix is invertible.
Construct and identify e
MAC 2103
Module 1
Systems of Linear Equations and
Matrices I
1
Learning Objectives
Upon completing this module, you should be able to:
1.
Represent a system of linear equations as an augmented
matrix.
2.
Identify whether the matrix is in row-echelon form,
STUDY GUIDE FOR MAS 2103 FINAL EXAM
Be able to do each of the following:
1. Find the inner product, norm and distance.
!
2. Find the solution of the homogeneous system Ax = 0; use Gauss elimination on
!
!
[ A | 0 ] to obtain a row echelon form [G | 0 ] an | 677.169 | 1 |
Browse by
Study Techniques for Mathematics
Your
1. Do your math homework first, before your other subjects.
○ ○ ○ You will be working when your mind is sharpest. If you get stuck on a problem, you can revisit it later. You have time to get help on problems that you have no idea about.
1. Take breaks. ○ After a period of concentration, take a break for relaxation or to work on other subjects. ○ Return to problems that you could not complete previously. 1. Utilize campus resources ○ Math Learning Center: tutors, software, videos, textbooks, study skills ○ Your instructor's office hours ○ Purchase Winning At Math by Paul Nolting in the campus bookstore. 1. Study in a proper environment ○ Quiet. You need to be able to think deeply to learn mathematics. A nosiy environment will create obstacles to your concentration and create distractions to focusing on the problems at hand. You will be able to concentrate better with no people, TVs or music in your environment as distractions. Playing relaxing music in the background can be an aid to concentration, however.
1. Read the textbook. 1. Take good notes in class.
1. Make summary sheets. ○ Make a list of important theorems. ○ Make a list of important properties and formulas. ○ Make a list of important vocabulary words. ○ Make a list of the important course objectives for each unit in the course (usually a section or chapter of the textbook). ○ Review these lists every day.
1. Practice all problems until you have mastered the ability to
solve and check them.
1. Be aware of what topics you know well, which topics need more
practice and which topics you don't know at all.
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Well-supplied Have plenty of scratch paper, graph paper, pencils and erasers handy. Colored pencils are also useful. A scientific calculator is also useful. Well-lit: Make sure there is good lighting while reading and studying.
1. Continually review: Review material from the beginning of the
semester throughout the entire semester.
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Study groups If you are the type of person who learns well in a social environment, try joining or forming a study group. The Math Learning Center staff can help you in this regard.
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Ask your instructor or a tutor about unclear concepts.
Reading a Math Textbook
Many students pay a lot of money for a textbook but don't read it! Before you attempt homework problems, it is important that you carefully read the relevant sections of your math textbook. Study the examples. Note the definitions, properties and formulas. Study the examples. Note the hints from the author. Study the examples! How to read a math textbook: 1. Look at the title of the section and the learning objectives stated at the beginning of the section. 1. Skim the section to be read. 1. Have a highlighter and pencil handy to mark questions and work out missing steps from examples. 1. Put all your concentration into reading. ○ Read in an environment with few distractions. ○ Highlight important material. ○ Pay close attention to material that the textbook author has highlighted with colors or boxes. ○ Remember: reading a math textbook is not like reading a novel, you need to go slowly and often re-read material to understand the ideas being presented. 1. When you get to the examples, go through and understand each step. ○ Often the author does not show every single step in order to save space. If there are missing steps, fill them in yourself. ○ Study the examples carefully, as they will serve as models for homework exercises and test questions. 1. Mark the concepts and words that you do not know. ○ Make a list of these areas of confusion. ○ Look up unknown words in a math dictionary. 1. Make lists of important ideas. ○ On separate sheets of paper, keep lists of • definitions • theorems • formulas ○ Each time you read a section in the math textbook, add something to these lists. ○ Have the lists in front of you as you do your homework. ○ Review these lists daily. 1. If you do not understand the reading material, follow these points until understanding arises: ○ Go back to the previous page and re-read the information to get into the flow of the author's presentation. ○ Read ahead to the next page to see to where the author is leading. ○ Study all graphs, diagrams, charts and examples used to illustrate the concepts. ○ Read misunderstood paragraphs aloud to engage your other sensory organs. ○ Refer to your notes from class on the same material. ○ Refer to another math textbook. You might find explanations and/or examples that make more sense to you. ○ Use videotapes, CDs and website resources to help with your understanding. ○ Define exactly what you do not understand and ask your instructor, a tutor or a classmate. 1. Reflect on what you have read. Relate this reading to the course objectives.
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Organize your lecture notes, examples, homework and other course materials. Sorting, classifying and organizing information is important to memorization and academic success in general. Make flash cards to carry around with important information that needs memorization. Look at the flashcards frequently throughout the day.
Memory
Much mathematics is a matter of practicing procedures until they are understood, rather than memorized. However, the learning of mathematics does require some memorization of formulas, definitions and theorems, much like learning a foreign language. Memory involves: • registration: inputting the information into your mind • retention: keeping the information in your mind • recall: accessing the information previously stored Pay attention to all of these aspects of memory as you try to improve in this area.
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To memorize a fact, test yourself: ○ Ask yourself the question. For example, "The area of a circle is...?" ○ Then write out the answer, and speak the answer aloud as you write. ○ If your answer is incorrect or if you don't remember, then write out the correct answer 10 times, speaking it aloud as you write. ○ Repeat this process a few times per day until you always get the correct answer. Then practice less frequently. ○ If you are a kinaesthetic learner, then walk around or dance while studying your math. ○ This technique engages your eyes, ears, hands, mouth and body. The more that you use all of your senses, the more your mind will remember. ○ Be aware of what things you know and what you things you don't know. Pay attention to detail. Write your symbols and words carefully and precisely. As you work through the math course, look for patterns. The more patterns you recognize, the less you need to memorize. Make connections between new concepts and processes and properties that you have already learned. Synthezing information and seeing the "big picture" will help you to remember. Explain ideas to other people. Your memory is strengthened when you have to teach someone else. Practice! Practice! Practice!
Here are some suggestions for memorizing your math: • Decide that you want to memorize something. Your intention and attention to what needs to be memorized is critical your ability to do so. • Study math every day. Memory requires repetition spread out over a long period of time. Studying math only once or twice a week is usually not sufficient to remember much. Make lists: vocabulary, formulas, properties, theorems. Look at these lists every day. Add to each list as you read through your textbook.
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Listen for words the signal important information. How good are your listening habits?
1. Write ○ Bring pencils and paper to class and take math notes in pencil, not pen. ○ Always use the same notebook to take note for your math class. Your paper should be 8.5" by 11" in size. ○ Date each notebook entry. ○ Keep your math notes separate from notes from your other courses. ○ Copy down everything that the instructor writes on the board. If the instructor takes the time to write something, it is important. ○ Take notes, even though your understanding may not be complete. ○ Develop a good note-taking system.
Note Taking
When you first enter the classroom, preparing to take notes is essential. By taking careful notes you can: • • • • Record how the instructor has explained procedures. Record what examples the instructor has demonstrated. Develop good organizational skills. Record important class information such as homework assignments and test dates.
Below are some tips for effective note-taking: 1. Listen ○ Come to class with a positive attitude; this will help you focus, concentrate and get the most out of the lecture. ○ Sit close to the front of class as possible to improve your concentration and vision. ○ Stay focused on the content of the lecture. ○ Do not be distracted by classmates or daydreams. ○ Relate important points to concepts you already know. ○ Ask the instructor for clarification, if you don't understand.
1. Review ○ Review and reorganize your notes as soon as possible after class. ○ Write clearly and legibly. ○ Rewrite ideas in your own words. ○ Highlight important ideas, examples and issues with colored pens. ○ Review your class notes before the next class period. ○ Ask questions during office hours or the next class period if there are items that are unclear. ○ Review all your notes at least once per week to get a perspective on the course. 1. Reflect ○ Think about what you have written and connect it with other math concepts. ○ Begin to remember definitions, procedures, concepts, theorems and formulas that are in your notes.
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Compare your lecture notes to the ideas, explanations and examples in the textbook.
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Do math every day.. You will need to work on your math course each day, if only for a half-hour. You must avoid doing all your math homework and studying on one or two days per week. Schedule quality study time throughout the week and stick to your schedule. Study smart.. Read the information on study skills, time management, note-taking and textbook-reading on this website or in one of the math study skills books. The more you try different approaches, the more you will discover what works for you. Attend class. You must attend class to keep up with the fast pace of a college-level math course. You will also get information regarding tests and instructor expectations. You will see examples that are not in the textbook. You are responsible for all information and concepts presented in class, whether you are present or not. Get organized! You need to keep good class notes. You need to keep a good math notebook with lists of vocabulary, properties, formulas, theorems and procedures. Must anxiety is caused by disorganization. Continually test yourself. Be aware of what you know and of what you don't know. Keep practicing the concepts and problems presented in the classroom and in the textbook. Replace negative self-talk with positive self-talk. Having a negative attitude is an obstacle that does not need to prevent you from succeeding. Be mindful of what you are saying to yourself. Develop positive affirmations such as "I will succeed in this course!" or "I love math!" to counteract any negative feelings you may have about your abilities or about math itself. Utilize all your resources. The Math Learning Center, videotapes, textbook, friends, study groups, your instructor, the internet....all are available to help you succeed. Only you can take advantage of them, however.
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• Overcoming Math Anxiety
Do you feel nervous about math? Do you dislike math? Do you have fear of doing math? If so, you are not alone. You may have "math anxiety." Math anxiety is not unusual. You might be experiencing some symptoms of math anxiety such as: • • • • • • • negative self-talk lack of motivation to work on math not studying regularly putting off math homework until the last minute panic when doing math homework or tests difficulty remembering math facts relying on memorization rather than understanding
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Math anxiety is a condition that you have the power to change, if you so desire. Math anxiety is a learned behavior; you can change it! Here are a few suggestions to help overcome math anxiety:
There are a variety of other proven techniques and activities that will help to to conquer math anxiety. There are a variety of resources that will address these techniques and activities in more detail than is possible here.Talk to your instructor or a tutor in the Math Learning Center about your feelings toward mathematics. Acknowledging your
feelings is the first step in conquering them. Your instructor and tutors can help direct you to good resources and practices that can help you reduce or eliminate the emotional blocks to learning mathematics.
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use color to highlight important points in the textbook and lecture notes. use multimeida resources in the MLC (internet, videotapes, CD-ROMs,graphing utilities) study in a quiet place with little noise and conversation. visualize information as a picture to aid memorization.
1. Auditory Learners: These people learn best through hearing and ○ benefit from oral lectures, discussions and listening to ○ ○
○ others. interpreting the underlying meaning in tone of voice, pitch and rate of speech. are sensitive to unclarity of speech. Tutoring advice for auditory learners: • work in a study group. • create musical jingles to aid memorization. • discuss and explain math concepts to others. • read the textbook aloud.
1. Tactile/Kinesthetic Learners: These people learn best through
moving, doing and touching and ○ prefer a hands-on, exploratory approach. ○ like to manipulate objects. ○ may find it difficult to sit still for long periods. ○ Tutoring advice for tactile/kinesthetic learners: • take frequent study breaks. • move around or stand up while studying. • use bright colors to highlight important points. • listen to relaxing music while studying.
Learning Styles
Different people learn differently. As a student you should be aware of your own learning style. There is a good computer program in the Math Learning Center that can help you to assess your own learning style. See a MLC staff member for assistance. Types of learning styles 1. Visual Learners: These people learn best through seeing and ○ like to view diagrams, charts, videos, pictures, and examples. ○ pay attention to body language, and facial expressions of tutors. ○ Tutoring advice for visual learners: • draw diagrams or sketches when setting up math problems.
The KWL Strategy (adapted from Mission Reading instructor Aaron Malchow) K: What we Know already. W: What we Want to find out. L: What we Learned from the reading. Before Reading
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Identify what the specific topic is that you are going to read about. In a math textbook, the objectives are usually stated at the beginning of each section. Write down 5 to 9 things that you already know about those specific topics. Write down 5 to 9 questions about what you want to know about those specific topics from the section you are about to read.
After Reading • Write down 5 to 9 ideas that you learned from reading the section. ○ In your own words, describe what you learned. ○ Make reference lists to use when doing homework exercises and to study for exams. You can clarify your lists with examples. • Make a list of definitions. • Make a list of properties. • Make a list of formulas. • Make a list of theorems. • Compare and contrast what you learned to what you knew and what you wanted to learn.
Math Tests
Your math instructor will be assessing your knowledge in a variety of ways. You can help yourself become more successful in your math course by thinking carefully about different aspects of these assessments: develop skill in taking math tests. Success on tests is not just a matter of knowing the material or good luck. Please look at the following topics regarding math tests. Preparing for a Math Test Your success on a math test can be maximized by proper preparation. 1. Practice good study techniques throughout the semester. Read the section on study techniques for mathematics. 1. Begin studying for the test at least one week ahead of time. 1. Work out all practice tests in the textbook and those given by your instructor. 1. Review your study lists. 1. Find out from your instructor: ○ on which topics or objectives you will be tested. ○ what materials are needed for the test: calculators, rulers, etc. ○ what materials are prohibited from the tests: calculators, cell-phones, etc. 1. Prepare yourself physically ○ Get proper exercise weekly. ○ Eat properly prior to the test. • Avoid overeating just before the test. • Eat a good breakfast and/or lunch before the test. • Do not drink too much before the test: you do not want to have to use the restroom during the test. • Avoid too much caffeinated beverages before the test; this may cause nervousness. • Do not use alcohol or recreational drugs before the test. These will impair your concentration and brain functioning.
If you are taking prescribed medications, be aware of their effects on your concentration and thinking. Adjust your intellectual activity accordingly. ○ Get a good night sleep before the test. Staying up late cramming is not productive and can reduce your mental sharpness. 1. Read the section on doing well on a math test so you know what to do once the test has started. 1. Do not study the day of the test. Relax and be confident that you have done your best to prepare. Additional studying will only make you more nervous and reduced your confidence. Before the test, take a nice walk around the campus and think positive thoughts. Doing Well On A Math Test Being successful in taking a math test is not just a matter of studying. There are many factors that that affect a person's ability to do well on a math test.
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First, prepare for the test properly. Look at Preparing for a Math Test for helpful hints. In order to minimize mistakes on a test, look at six types of testtaking errors to avoid and how to prevent them. Bring all necessary materials to the test: ○ At least 2 sharp pencils. ○ Good eraser. ○ Scientific calculator, if allowed. ○ Ruler (or straight edge) and compass, if needed. ○ Turn off cell phones during the exam. Look over the test for length and difficulty of problems. ○ Determine the average time to devote to each problem. ○ Manage time during the test • Limit the time spent on each problem. • Know how much time is left until the end of the test. ○ Work on the easiest problems first. Do a "data dump:" Write down all formulas and important ideas when you first get the test, while your memory is fresh and so you can refer to them during the test. Read all directions carefully. Follow the directions. Show all steps of your work on the test. You can get often get partial credit for solving part of a problem correctly. Check your work!
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○ Are your answers accurate? ○ Did you complete the problem? ○ Did you answer all the questions? Do not leave the test room early! Use the extra time to check your work again if you finish early. Relax. If you feel anxious or frustrated during the test: ○ Stop working, put down your pencil, close your eyes. ○ Take slow, deep breaths. ○ Think positively and remove all negative thoughts. ○ Open your eyes and get back to work.
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Identify subject matter that you know well and topics that need more practice. ○ Rework incorrect problems on previous exams. ○ Do addition practice problems in areas in which you are weak. ○ See a tutor in the MLC if you need clarification or assistance with a problem.
The Final Exam
The final exam in your mathematics course is an important milestone on your journey through the mathematics curriculum. The final exam is a good opportunity for you to synthesize the topics, processes, techniques and vocabulary you learned in the course. You can get an overview of what you have done and see the relationships among the different topics and see how these are related to your previous math courses. You can also anticipate what may arise in your next math course. Therefore, studying for the final exam is a great academic pursuit, a great learning opportunity, and a great chance to move your mind to a new level of understanding. Tips for studying for your math final • If you develop good study habits throughout the semester, then studying for a final exam is mostly a matter of review. ○ Review your previous tests. ○ Review your class notes. ○ Review your homework exercises. ○ Review the summary sheets that you have made. ○ Review the highlights in the textbook. • Begin studying for your math final exam at least two weeks before the exam. ○ Get all your tests, notes, homework, etc. in order. ○ Schedule times each day to review the course material. ○ Free your schedule from other responsibilities as much as this is possible. ○ Do not cram! If you wait until the last minute to study for a final exam, your studying will not be effective in addressing an entire semester's worth of mathematics.
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Take care of your physical health: You want to be in good health when you take your final exam. ○ Get a proper amount of sleep: staying up too late to study may just wear you down. ○ Get proper physical exercise. ○ Eat properly • Eat a balanced diet. • Avoid over-eating: you don't want to feel sluggish while study for or taking your final. • Avoid under-eating: you need energy to study and think clearly. • Avoid excessive amounts of sugar and other junk foods. • Avoid excessive amounts of caffeine, alcohol or other drugs that will impair your capacity to think clearly. Take care of your mental health: Final exam time can be stressful, if you don't take care. ○ Get enough sleep. Lack of sleep can cause stress. ○ Get enough exercise: physical exercise can relieve and prevent mental stress. ○ Use relaxation techniques such as meditation, yoga, visualization, music. ○ Take relaxing study breaks. ○ Incorporate some recreational activities into your schedule; have some fun!
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If you find yourself getting stressed-out, talk to a friend or a counsellor
Final Exam Week
Five common mistakes and how to avoid them Mistake #1: Cramming (staying up all night to study, or trying to study one subject for too many hours in a row) How this is a problem: Think of it this way. Would you expect someone to prepare to run a marathon by staying up all night the night before and running for hours and hours? Of course not. In the same way, if you cram for hours and hours, your brain will get tired and you will not remember all of the information that you studied very well. You will be trying to make yourself perform optimally on a test when you are mentally exhausted. Solutions: • Break your study times up into smaller amounts of time (study up to one hour before you take some kind of a break - but no longer). • Vary your studying by reviewing one subject for an hour or so, then taking a break and switching to another subject. This will keep you from getting burned out on one topic. • Vary your study methods. This means study by reading, looking over your notes, reviewing the subject with another student in the class, using note cards, and making new notes about the material. This will help you maintain a higher level of energy and concentration. Again, remember that you shouldn't try to do all of these in a row - pace yourself by taking breaks and getting some rest in between study sessions. Mistake #2: Assuming that you know the material very well when you only have a superficial understanding of it. How this is a problem: It is tempting to look over your notes, skim through your textbook, and review your assignments and get the feeling that you know the material well enough to take a test on it, even though your knowledge may not be specific enough to help you out on the actual test questions. Students who fall into this trap often get to the test time and realize that they are far more unprepared than they thought. Solutions: • Find a way to test yourself on the material before the actual test time. For example, you might want to invent test questions and answer them, apply your knowledge to a new situation or example, or have a friend quiz you on the information. • Writing down information in your own words is also a good way to test for understanding. If you can't write a definition, a theory, etc... in your own words, you probably don't know it well enough to answer questions about it on a test.
Mistake #3: Trying to be a "superhuman" student during finals week. How this is a problem: Some students miss class during the semester, neglect reading assignments, or in other ways put themselves in a situation where they have to become a "superhuman" student in order to do well on a final exam. Basically, by not doing what they were supposed to do during the semester, they are making it impossible to study productively during final exam week, because they have too much information to cover in too short a time period. Solutions: • During the semester before the final exam, keep up with your work, go to class regularly, and spend at least some time every week reviewing what you are learning (even if you only spend 15 minutes a week reviewing for each class). This will put you in a much better position to review for your finals. • Keep in mind that, in most cases, as you are studying for your finals you are not supposed to be learning the information for the first time. You are supposed to be reviewing what you have already learned in class and from your assignments during the semester. Make sure that you are in a position where you are reviewing - not learning for the first time.
Mistake #4: Using study time unproductively. How this is a problem: Many students have good intentions of studying hard over finals week, but they make the mistake of using their study time unproductively. For example, have you ever sat in the library and read through a chapter, then realized that you didn't understand anything that you read? Or have you ever gotten together a study group for a class, then spent half the time talking about the latest episode of "The X Files"? Sometimes students don't realize how much time they are wasting by not paying attention to whether or not they are actually getting anything out of their study time. Solutions: • As you are studying, check at least once every half an hour to see if you are staying on track and understanding what you are reviewing. If you aren't, you need to change something about what you are doing. For example, if you are reviewing your notes for a final and you don't understand them very well, you might want to get together with someone from the class and talk through the material. You may also want to talk to your professor about the questions that you have. • Make sure that you pay attention to your level of concentration when you study. When you feel that your mind is wandering or that you are too tired to really concentrate, don't try to push yourself into continuing to study. Take a break and then continue when you are able to be productive again. Studying for hours after your brain has stopped absorbing material is a waste of time. Mistake #5: Putting your health aside in order to study more intensively. How this is a problem: Some students put aside getting enough sleep, eating properly, and in general taking care of their health because they feel that every minute needs to be focused on studying for their finals. However, it is unlikely that you will perform very well on your final exams if you are a wreck physically. You will be able to concentrate better and remember more information if you are physically in good shape. Solutions: • Get at least some sleep the night before your exam. Even if you only sleep for four or five hours, this will give your brain a chance to rest and recharge itself. • Remember to eat breakfast before your exam, and remember to eat at least some healthy foods during finals week in general. Your brain will function better if you aren't having blood sugar problems from eating poorly.
Time Management
In order to be successful in your math course, you will need to attend class and study at least 2 hours per week outside of class for each hour in class. Let's do the math: If you are taking a 5-unit math class, then you will need to spend 5 + 2 x 5 = 15 hours per week on your math. This is a minimum amount of time if you want to learn the material and pass the course. There are 7 x 24 = 168 hours in each week. If you sleep 8 x 7 = 56 hours per week; eat 3 x 7 =21 hours per week, that leaves 91 hours left. Do you have a job? Subtract those hours from the 91. Do you go shopping, take showers, have other social obligations or are taking other classes? Subtract those hours as well. Seven Suggestions for Effectively Managing Your Time 1. Get organized! ○ Use time saving tools: appointment calendars, "to do" lists, e-mail, answering machines, file folders, etc. ○ Have an organized workplace (don't waste time constantly looking for your work). ○ Use your appointment calendar for everything, including listing study time. ○ Use "to do" lists for both long-term and for each day/week. 2. Plan Ahead (Schedule it and it will happen!) • Determine how long your tasks will take (do this before agreeing to take on a task!) • Consider whether any activities can be combined. • Determine if big tasks can be broken down into smaller tasks that may be easier to schedule (such as studying for exams and visiting the library as part of an assignment to write a term paper). 1. Prioritize Your Tasks ○ Use an A-B-C rating system for items on your "to do" lists with A items being highest priority. ○ Set goals for both the short term and long term as to what you want to accomplish. ○ Look at all of your "to do"s to gauge the time requirement and whether additional resources will be needed to accomplish them (if yes, schedule time to obtain those resources). ○ Don't postpone the small tasks (a sense of accomplishment is good and overlooked small tasks can become larger tasks.)
Somehow, you need to fit in your 15 hours for math into your week. Therefore, developing and using good time-management techniques is essential.
Goals of Time Management To be able to have control over your life manage your time, don't let it manage you! To be healthier and happier (less stress). There are numerous books devoted to the topic of time management. Some suggested resources appear at the end of this discussion. In the meantime, wise students will do the following to help manage their time as a student:
1. Avoid Overload ○ Include time for rest, relaxation, sleep, eating, exercise, and socializing in your schedule. ○ Take short breaks during study and work periods. ○ Don't put everything off until the last minute (for example, don't cram for exams). ○ Learn to say "no" when appropriate and to negotiate better deadlines when appropriate.
○ ○
Know what is important to you. (What do you value most?) Have a positive attitude!
1. Practice Effective Study Techniques ○ Have an appropriate study environment. ○ Split large tasks into more manageable tasks. ○ Read for comprehension, rather than just to get to the end of the chapter. ○ Be prepared to ask questions as they come up during study, rather than waiting until just before an exam. ○ Do the most difficult work first, perhaps breaking it up with some easier tasks. ○ Don't wait until the last minute to complete your projects. ○ Read the syllabus as soon as you get it and note all due dates (and "milestone" times) on your calendar. ○ Be a model student! (be attentive and participative in class, and punctual, prepared, and eager to learn) 1. Be Able to be Flexible ○ ○ ○ ○ ○ The unexpected happens (sickness, car troubles, etc.); you need to be able to fit it into your schedule. Know how to rearrange your schedule when necessary (so it doesn't manage you - you manage it). Know who to ask for help when needed. Have a Vision (why are you doing all of this?) Don't forget the "big picture" - why are you doing the task is it important to your long-term personal goals? Have and follow a personal mission statement (personal and career). (Are your activities ultimately helping you achieve your goals?)
○
○
assistance.
High School vs. College!
If you have not attended college before, there are a number of differences between the high school and college environments. There are also differences regarding what is expected of you as a student. HIGH SCHOOL A school for children becoming adults and learning to be responsible. Students are treated as children who need help. Students must attend school. Class attendance is enforced by administration. High school is free. Other people structure your time. Parents and teachers guide student decisions. Homework is collected and graded. Homework is a significant part of one's grade. Teachers closely monitor attendance. Teachers remind you about turning in work. Teachers will approach students who may have difficulties. COLLEGE A school for responsible adults.
Teachers may not be available outside of the classroom. Teachers make sure you take tests. Class preparation is minimal. Homework is minimal.
Instructors are available during scheduled office hours. Showing up for tests is the sole responsibility of the student. Preparing for class requires a lot of time. Doing homework requires 2 to 3 hours per 1 hour of class time per week. Students are self-directed in studying. There is usually not much time to review material in class. Tests are infrequent and cover a large amount of material. Effort is necessary to learn, but is not directly graded. Passing a course depends on test performance. Mastering the material in math is necessary for success in the next math course.
Students are treated as adult independent learners. Taking a college class is voluntary. Class attendance is expected, but is the responsibility of each student. College costs a lot of money! Students are responsible for their own time. Students are responsible for their own choices. Homework often neither collected nor graded. The purpose of homework is to learn and practice. Attendance is the responsibility of the student. Work deadlines are responsibility of the student. Students must approach instructors if they want or need
Teachers guide study. Teachers have time to review material. Tests are frequent and cover one chapter. A student's effort is part of the grade. A student may pass the class merely by attending every day. Mastering the material in math is necessary for success in the next math course.
It is assumed that college students voluntarily choose to pay for and take a course and will therefore make the required effort to be successful. College students will, when needed, take the initiative to seek assistance from their instructors, the Math Learning Center and their fellow students. College students behave like adults in the classroom by arriving on time, by being considerate of their classmates, by not being disruptive and by participating in discussions. College students attend all their classes, do homework in a timely manner and come to class on time and well-prepared.
"I believe it is prompt accountability for one's choices, a willing acceptance of responsibility of one's thoughts, behavior, and actions that make the soul powerful."
More From This User
Study Techniques for Mathematics
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Study Techniques for Mathematics
Your success in your math course depends on how you study. If you follow the following good practices, your success in mathematics will improve. 1. Study outside o...
Study Techniques for Mathematics Your | 677.169 | 1 |
SYLLABUS AND SAMPLE QUESTIONS FOR MS(QE) 2012 Syllabus for ME I (Mathematics), 2012 Algebra: Binomial Theorem, AP, GP, HP, Exponential, Logarithmic Series, Sequence, Permutations and Combinations, Theory of Polynomial Equations (up to third degree). Matrix Algebra: Vectors and Matrices, Matrix Operations, Determinants. Calculus: Functions, Limits, Continuity, Differentiation of functions of one or more variables. Unconstrained Optimization, Definite and Indefinite Integrals: Integration by parts and integration by substitution, Constrained optimization of functions of not more than two variables. Elementary Statistics: Elementary probability theory, measures of central tendency; dispersion, correlation and regression, probability distributions, standard distributions–Binomial and Normal. Sample Questions for MEI (Mathematics), 2012 1. Kupamonduk, the frog, lives in a well 14 feet deep. One fine morning she has an urge to see the world, and starts to climb out of her well. Every day she climbs up by 5 feet when there is light, but slides back by 3 feet in the dark. How many days will she take to climb out of the well? (A) 3, (B) 8, (C) 6, (D) None of the above. 2. The derivative of f (x) = |x|2 at x = 0 is, (A) -1, (B) Non-existent, (C) 0, (D) 1/2.
8. The three vectors [0, 1], [1, 0] and [1000, 1000] are (A) Dependent, (B) Independent, (C) Pairwise orthogonal, (D) None of the above. 9. The function f (.) is increasing over [a, b]. Then [f (.)]n , where n is an odd integer greater than 1, is necessarily (A) Increasing over [a, b], (B) Decreasing over [a, b], (C) Increasing over [a, b] if and only if f (.) is positive over [a, b], (D) None of the above. 10. The determinant of the matrix (A) 21, (B) -16, (C) 0, (D) 14. 11. In what ratio should a given line be divided into two parts, so that the area of the rectangle formed by the two parts as the sides is the maximum possible? (A) 1 is to 1, (B) 1 is to 4, (C) 3 is to 2, (D) None of the above. 12. Suppose (x∗ , y ∗ ) solves: M inimize ax + by, subject to xα + y α = M, and x, y ≥ 0, where a > b > 0, M > 0 and α > 1. Then, the solution is, 3 1 2 3 4 5 6 7 8 9 is
13. Three boys and two girls are to be seated in a row for a photograph. It is desired that no two girls sit together. The number of ways in which they can be so arranged is (A) 4P2 × 3!, (B) 3P2 × 2! (C) 2! × 3! (D) None of the above. √ √ √ 14. The domain of x for which x + 3 − x + x2 − 4x is real is, (A) [0,3], (B) (0,3), (C) {0}, (D) None of the above. 15. P (x) is a quadratic polynomial such that P (1) = P (-1). Then (A) The two roots sum to zero, (B) The two roots sum to 1, (C) One root is twice the other, (D) None of the above. √ √ √ √ 16. The expression 11 + 6 2 + 11 − 6 2 is (A) Positive and an even integer, (B) Positive and an odd integer, (C) Positive and irrational, (D) None of the above. 17. What is the maximum value of a(1 − a)b(1 − b)c(1 − c), where a, b, c vary over all positive fractional values? A 1, B 1 , 8 for business; David Begg and Damian Ward
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Chapter 1
What is economics?
The problem between the wish list, which is very long and a resources list, which is very short. recognizes difference between infinite wants and finite resources
Finite resources are the limited amount of resources that enable the P and Purchase of G&S
Infinite wants Limitless desires to consume G&S
Opportunity... | 677.169 | 1 |
Units and Estimation
In this module, we review several concepts that many students will have already encountered in previous science and math courses including units, dimensional analysis, scientific and engineering notations, and Fermi estimations. A mastery of these concepts is essential for students interested in careers in Physics, Engineering, Medicine, and other technical fields as well as ensuring the student's future safety when working in industrial settings. | 677.169 | 1 |
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MATHEMATICAL SCIENCES
Today's discoveries in science, engineering, and technology are intertwined with advances across the mathematical sciences. New mathematical tools disentangle the complex processes that drive the climate system; mathematics illuminates the interaction of magnetic fields and fluid flows in the hot plasmas within stars; and mathematical modeling plays a key role in research on microscale, nanoscale, and optical devices. Innovative optimization methods form the core of computational algorithms that provide decision-making tools for Internet-based business information systems. The fundamental mathematical sciences – embracing mathematics and statistics – are essential not only for the progress of research across disciplines, they are also critical to training a mathematically literate workforce for the future. Technology-based industries that help fuel the growth of the U.S. economy and increasing dependence on computer control systems, electronic data management, and business forecasting models, demand a workforce with effective mathematical and statistical skills, well-versed in science and engineering. It is vital for mathematicians and statisticians to collaborate with engineers and scientists to extend the frontiers of discovery where science and mathematics meet, both in research and in educating a new generation for careers in academia, industry, and government. For the United States to remain competitive among other Nations with strong traditions in mathematical sciences education, we must attract more young Americans to careers in the mathematical sciences. These efforts are essential for the continued health of the Nation's science and engineering enterprise. The role of mathematics has expanded in science and society, but the resources devoted to three key areas – fundamental mathematical and statistical research, interdisciplinary collaboration between the mathematical sciences and other disciplines, and mathematics education – have not kept pace with the needs, thus limiting the Nation's scientific, technical, and commercial enterprises. To strengthen the mathematical foundations of science and society, NSF has supported the Mathematical Sciences Priority Area since FY 2002. This investment focuses on the mathematical sciences, encompassing interdisciplinary efforts in all areas of science, engineering, and education supported by the Foundation.
Biological Sciences Computer and Information Science and Engineering Engineering Geosciences Mathematical and Physical Sciences Social, Behavioral and Economic Sciences Office of International Science and Engineering Office of Polar Programs Subtotal, Research and Related Activities Education and Human Resources Total, Mathematical Sciences
Totals may not add due to rounding.
419
Mathematical Sciences Long-term Goals: The goal of this priority area is to advance frontiers in three interlinked areas: (1) fundamental mathematical and statistical sciences; (2) interdisciplinary research involving the mathematical sciences with science and engineering and focused on selected themes; and (3) critical investments in mathematical sciences education. The investment plan (FY 2002 – FY 2007) will allow efforts in research and education to take root and begin a long-term transformation in the way mathematics, science, and education interact. The long-term goals of the investments in the priority area that were articulated during its initial stages and continue as important goals are to: • • • • • •
Foster significant advances in fundamental mathematics and statistics together with important benefits for the mathematical and other sciences and engineering; Foster interdisciplinary research partnerships that integrate the mathematical sciences with other science and engineering disciplines and recognize mathematicians and statisticians as full partners; Integrate the most appropriate, state-of-the-art, statistical principles and mathematical tools and concepts into all NSF sponsored research; Train a new generation of researchers in interdisciplinary approaches to future science and engineering challenges; Increase the numbers and diversity of U.S. students trained in the mathematical and statistical sciences to meet the increasing demands of scientific research, engineering, and technology in academic institutions, industry, and government laboratories; and Develop a framework to significantly advance the image and understanding of mathematics in the general population.
FY 2007 Areas of Emphasis: NSF plans to invest $78.45 million in the Mathematical Sciences activities described below, while starting to mainstream interdisciplinary research partnerships. FY 2007 is the last year of funding of the Mathematical Sciences Priority Area. In future years, these activities will be part of ongoing programs in the participating areas. There is strong commitment to continuing partnerships. • Fundamental Mathematical and Statistical Sciences – Fundamental research areas include themes such as dynamical systems and partial differential equations, geometry and topology, stochasticity, number theory, algebraic and quantum structures, the mathematics of computation, statistics, and multi-scale and multi-resolution analysis. To enhance research in these areas, the NSF will provide improved support for mathematical sciences through research groups and individual investigator grants, as well as through institute and undergraduate, graduate, and postdoctoral training activities. Advancing Interdisciplinary Science and Engineering – The concepts and structures developed by fundamental mathematics often provide just the right framework for the formulation and study of applications in other disciplines. Mathematics and statistics have yielded new analytical, statistical, computational, and experimental tools to tackle a broad range of scientific and technological challenges long considered intractable. This success has fueled a demand for increased support for collaborative research in which teams containing both mathematical scientists and researchers from other science and engineering disciplines work together: (a) to develop new mathematical approaches
420
•
FY 2007 Budget Request to Congress
to concrete scientific or engineering problems for which adequate mathematical tools do not yet exist as well as (b) to apply these sophisticated techniques to significant problems in science and engineering. Such interdisciplinary collaborations will also nurture a new breed of researchers, broadly trained in both mathematics and science or engineering disciplines, needed to tackle the increasingly complex multidisciplinary research topics that confront society. Three broad, interdisciplinary research themes are being emphasized in the mathematical sciences priority area:
• Mathematical and statistical challenges posed by large data sets – Much of modern science and engineering involves working with enormous data sets. Major challenges include: the identification and recovery of meaningful relationships between data; the identification and validation of the structure of large data sets, which require novel mathematical and statistical methods; and improvement of theories of control and decision-making based on large, complex data streams. These challenges arise in such diverse arenas as: large genetic databases; the explosion of data gathered from earth monitoring systems (satellite observation systems, seismic networks, and global observation systems); situations in which privacy and missing data are major concerns; the massive data streams generated by automated physical science instruments, which must be compressed, stored and accessed for analysis; and data produced by modern engineering systems that place networked sensors and actuators on scalable networks to support dynamic interactions. Managing and modeling uncertainty – Predictions and forecasts of phenomena – bracketed by measures of uncertainty – are critical for making better decisions, whether in public policy or in research. Improved methods for assessing uncertainty will increase the utility of models across the sciences and engineering and result in better predictions of phenomena. Improving the ability to forecast extreme or singular events will improve safety and reliability in such systems as power grids, the Internet, and air traffic control. Advancing techniques to assess uncertainty has applications ranging from forecasting the spread of an invasive species, to predicting genetic change and evaluating the likelihood of complex climate change scenarios. In the social sciences, methods for assessing uncertainty will improve the utility of forecasts of phenomena such as market behavior. Modeling complex nonlinear systems – Advances in mathematics are necessary for a fundamental understanding of the mechanisms underlying interacting complex systems and systems far from equilibrium. They are essential to the further development of modern physical theories of the structure of the universe at the smallest and largest scales. Across the sciences, there is a great need to analyze and predict emergent complex properties and understand multiscale phenomena, from social behaviors to brain function, and from communication networks to multi-scale business information systems to complex engineered systems.
•
•
To enhance research in these areas of science and engineering, which depend on cross-cutting themes in the mathematical sciences, NSF will support opportunities encompassing interdisciplinary research groups, interdisciplinary centers, interdisciplinary cross-training programs, and partnership activities with other federal agencies. Training activities will cover interdisciplinary professional development at many levels and those that link highly innovative training activities with research.
• Advancing Mathematical Sciences Education – This effort will support innovative educational activities, centered on the research priorities highlighted above. Activities that foster closer connections between research and education include: curriculum development both in the mathematical sciences and in incorporating sophisticated mathematics into other disciplines, introducing new ideas across the K-16 spectrum; and research on how mathematics is learned, particularly in light of new learning technologies and emerging mathematical fields. Investments
421
Mathematical Sciences
include support for undergraduate and graduate education and postdoctoral training coupled with curriculum reform, and for mentoring at key transition points in the careers of mathematical scientists. An area of focus that will continue in FY 2007 is to enhance undergraduate research experiences at the interface between the mathematical and biological sciences.
Recent Research Highlights
► Computational Methods for Bulk Solid Handling Problems: The handling of granular materials
such as ores, building materials, chemical and pharmaceutical powders poses serious industrial problems. Silos routinely malfunction or even collapse. Some of those problems can be traced to the use of oversimplified models from the 1950s. NCSU Professor Pierre Gremaud in collaboration with Professor John Matthews (U. of Tennessee, Chattanooga) has recently made significant progress in the calculation of slow granular flows in industrial hoppers. Their approach allows the computational study of realistic industrial cases. This work is done in consultation with engineers at Jenike & Johanson, Inc. Once coupled with existing shell mechanics codes, those results will lead to the first comprehensive predictive tool for this type of phenomena and ultimately to more stable silos that are far less likely to collapse or malfunction. This research is representative of the type of contribution that mathematics can make for very real problems and the potential for positive economic impact.
Collapse of Silo
Calculations of the flow in a conical hopper with square cross section. Secondary circulation is observed. Only a quarter of the cross section is shown.
internal structure of a body is a great challenge in all imaging applications, such as medical imaging, remote sensing, nondestructive testing of materials, object detection, and monitoring of underground flows, etc., because of the inherent inhomogeneity of the media. A group of mathematicians consisting of Professor Liliana Borcea of Rice University, Professor George Papanicolaou of Stanford University and Professor Chrysoula Tsogka of the University of Chicago, has been working to advance the mathematical techniques for imaging. Through collaborations with engineers and physicists, including A. Paulraj and J. Claerbout of Stanford University and W. Scott of the Georgia Institute of Technology, they made significant progress in developing a statistically stable imaging algorithm and applied it to nondestructive detection of defects in aging concrete. Their method involves the use of an array of transducers that sends ultrasonic waves and records that scattered echoes at the surface of the concrete structure and an Adaptive Interferometric Imaging algorithm that exploits the coherence in the data by calculating cross-correlations of the recorded echoes at the array over carefully chosen space-time windows. This approach is statistically stable in that it is insensitive to changes of the detailed structure of the material and gives a reliable identification of the defects. | 677.169 | 1 |
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.... Develop a rich understanding of the rudiments of algebra in a relaxed and supportive learning environment. This course will help you understand some of the most important algebraic concepts, including orders of operation, units of measurement, scientific notation, algebraic equations, inequalities... Learn about: Skills and Training, Basic IT training, Basic IT... | 677.169 | 1 |
Mcgraw Hill Education
Now students can bring home the classroom expertise of McGraw-Hill to help them sharpen their math skills! McGraw-Hill's Math Grade 8 6 7 5 3 4 helps your elementary-school student learn and practice basic math skills he or she will need in the classroom and on…
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Now students can bring home the classroom expertise of McGraw-Hill to help them sharpen their math skills! McGraw-Hill's Math Grade 1 helps your elementary-school student learn and practice basic math skills he or she will need in the classroom and on… | 677.169 | 1 |
Mathematics Algebra I
• Algebra I
• Algebra II
• Algebra II
• Geometry
• Calculus
• Geometry
• Pre-Calculus
Junior
Senior
• Algebra I
• Algebra I
• Algebra II
• Algebra II
• AP Calculus
• AP Calculus
• Calculus
• Calculus
• Geometry
• Geometry
• Intermediate Algebra II
• Intermediate Algebra II
• Pre-Calculus
• Pre-Calculus
Algebra I A/B
Course Title:
Algebra I
Prerequisite:
None
Grade Level:
9, 10, 11, 12
Credit:
1.0
Course Duration:
Two Semesters
Course Description:
Algebra 1 is a course in methods of solving and graphing equations. Topics also include exponent properties, quadratics, polynomials, and exploring various functions.
Algebra I A Syllabus
Algebra I B Syllabus
Algebra II A/B
Course Title:
Algebra II
Prerequisite:
C+ or better in Algebra 1 and Geometry
Grade Level:
9, 10, 11, 12
Credit:
1.0
Course Duration:
Two Semesters
Course Description:
This course reviews and expands Algebra I. It introduces the new topics of conics, logarithms, and trigonometry.
Algebra II A Curriculum Map
Algebra II B Curriculum Map
Algebra II A Syllabus
Algebra II B Syllabus
AP Calculus
Course Title:
AP Calculus
Prerequisite:
C+ or better in Pre-Calculus and pathways or interest in Math, Science, Engineering
Grade Level:
11, 12
Credit:
1.0
Course Duration:
Two Semesters
Course Description:
AP Calculus is an advanced mathematics course designed to serve as a college-level calculus course suggested for those students interested in engineering, physical sciences, business, and statistics as a college curriculum.
Calculus
Course Title:
Calculus
Prerequisite:
C+ or better in Pre-Calculus and pathways or interest in English, Social Studies
Grade Level:
10, 11, 12
Credit:
1.0
Course Duration:
Two Semesters
Course Description:
Calculus is an advanced mathematics course designed to serve those students interested in engineering, physical sciences, business, and statistics as a college curriculum.
Geometry
Course Title:
Geometry
Prerequisite:
D- or better in Algebra 1
Grade Level:
9, 10, 11, 12
Credit:
1.0
Course Duration:
Two Semesters
Course Description:
This course introduces the student to logical reasoning and facts about geometric figures and relationships.
Intermediate Algebra II A/B
Course Title:
Intermediate Algebra II
Prerequisite:
D- or better in Algebra 1
Grade Level:
11, 12
Credit:
1.0
Course Duration:
Two Semesters
Course Description:
This course reviews and expands on Algebra 1. It introduces the new topics of conics, logarithms, and trigonometry.
Intermediate Algebra II A Curriculum Map
Intermediate Algebra II B Curriculum Map
Intermediate Algebra II A Syllabus
Intermediate Algebra II B Syllabus
Pre-Calculus
Course Title:
Pre-Calculus
Prerequisite:
B- or better in Algebra 2
Grade Level:
10, 11, 12
Credit:
1.0
Course Duration:
Two Semesters
Course Description:
Class is intended to prepare students for Calculus. | 677.169 | 1 |
Systems of Equations Bundle ~ 8th and 9th grade math
Compressed Zip File
Be sure that you have an application to open this file type before downloading and/or purchasing. How to unzip files.
14.93 MB
PRODUCT DESCRIPTION
This bundle of systems resources will save you tons of time. Includes an assessment, review, task cards and word problems. Students will use graphing, substitution, and elimination and writing their own systems.
CCSS.MATH.CONTENT.8.EE.C.8.C
Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
CCSS.MATH.CONTENT.8.EE.C.8.B
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
CCSS.MATH.CONTENT.8.EE.C.8.A
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
CCSS.MATH.CONTENT.HSA.REI.C.5
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
CCSS.MATH.CONTENT.HSA.REI.C.6
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables | 677.169 | 1 |
ISBN 9788126550753
ISBN-10
8126550759
Binding
Paperback
Number of Pages
552 Pages
Language
(English)
Subject
Educational: Mathematics & numeracy
This version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig, globally the most popular textbook on the subject, is restructured to present the content in a concise and easy-to-understand manner. It fulfills the need for a book that not only effectively explains the concepts but also aids in visualizing the underlying geometric interpretation. Every chapter has easy to follow explanation of the theory and numerous step-by-step solved problems and examples. The questions have been hand-picked to suit the current pattern of questions asked. Extreme care has been taken to provide careful and correct mathematics, outstanding exercises.
Table of Contents:
Chapter 1 Linear Algebra
Introduction to Matrices
Definition and Notation: Matrices
Inverse of a Matrix by Elementary Transformations (or Gauss-Jordan Method)
Rank of a Matrix
System of Linear Equations
Consistency of Homogeneous Linear System of Equations
Linear Transformations (in General)
Eigenvalues and Eigenvectors
Cayley-Hamilton Theorem
Diagonalization and Powers of a Matrix
Quadratic Forms
Vector Spaces
Chapter 2 Differential Calculus I
Definite Integral as a Limit of Riemann Sums
Area of Surfaces of Revolution
Volume of Solid of Revolution
Volume of Solid of Revolution (about x-Axis)
Double Integrals
Change of Order of Integration (Reverse Order of Integration)
Area using Double Integrals
Volume using Double Integral
Triple Integral for Cartesian Co-ordinates
Change of Variables in Multiple Integrals
Beta and Gamma Functions
Dirichlet's Integrals and Applications
Chapter 5 Infinite Series
Introduction
Sequences
Series
Geometric Series
Series of Positive Terms
Harmonic Series of Order p (p-Series)
Comparison Tests
D'Alembert's Ratio Test
More Tests for Convergence (Optional)
Integral Test
Cauchy's nth Root Test
Leibniz Test on Alternating Series
Series of Positive and Negative Terms
Power Series
Convergence of Exponential, Logarithmic and Binomial Series
Uniform Convergence of Series of Functions | 677.169 | 1 |
Mathematics Basic Facts Collins Gem 320 p. Contains: Illustrations. Collins Gem.
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WEST SUSSEX, GBR
$16.79
FREE
About the Book
Gem Mathematics Basic Facts has been revised and updated to give explanations of key terms and concepts that school and college students will encounter when working for GCSE, Standard Grade or other qualifications at this level. Alphabetical arrangements of entries encourages quick reference and a system of cross-references supports each entry so that it can be put in context. | 677.169 | 1 |
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Unformatted text preview: -' To the Student What Is Calculus? Calculus is the mathematics of moti!)n and change. Where there is motion or growth, where variable forces are at work producing acceleration, calculus'is the right math- em~tics to apply. This was true in the beginnings of the subject, and it is true today. Calculus was first invente~ to meet the mathematical needs of the scientists of the sixteenth arid seventeenth centuries, needs that were mainly mechanical in na. JiIl.. IDifferential calcutus dealt 'with the problem of calculating' {ltes of change. It ...nanled.people to define slopes of curves, to calculate velocities and accelerations of mo.Y.ing-.bod.ieSrto-lind-firing-angles that would give cannons their greatest range" and to predict the times when planets would be closest together or f811hestapart. In~ tegral calcu1~ dealt with the p~blem of detennining a function from information about its rate of change. It enabled people to calculate' the ~ture location of a body from its present position and a knowledge of the foices acting on it, to find the areas...
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FINITE MATHEMATICS FOR BUSINESS Documents
Showing 1 to 27 of 27
Math 160
Special Assignment #1
Lowman
Spring 2010
Due Thursday, Feb 11 in discussion time Calculators can be used to do matrix calculations only where specified. Otherwise, all calculations must be done by hand and you must show all work. When using elem
Math 160
Spring 2009
Midterm #1
All work MUST be shown in the booklet to receive credit.
1. There are twelve Finance majors and nine Economics majors competing for seven scholarships. If the
scholarships were handed out randomly, what is the probability:
Math 160
Midterm #1Midterm #1
Fall 2011 booklet.
3. AL
Math 160
Midterm #2Special Assignment 1
Lowman
Fall 2007
1. How many subsets does the set A = cfw_a,b,c,d,e,f,g have? 2. How many subsets of A = cfw_a,b,c,d,e,f,g are there that have at least 3 elements? 3. In how many ways can four red books, ve green books and si
Matrices
matrix product
Matrix multiplication A B is dened only if the number of columns of matrix A is the same as the number of rows of matrix B. Amxp Bpxn = Cmxn , p is the number of columns of A and p is the number of rows of B. The resulting matrix C
Matrices
Input-Output Analysis
Consider the Three-Sector Economy: In an economic system, each of three industries wood, steel and coal depends on the others for raw materials.
Matrices
Input-Output Analysis
Consider the Three-Sector Economy: In an economi
Linear Programming
example: problem setup
A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic feet in volume, weighs 100 pounds, and earns $12 for the driver. Each crate of cargo B is 3 cu
Math 160 , Midterm #2 Prof Doyle Fall 2010
1. Write your name, your TAs name, and your Tu/Th discussion time in the box on the ont of the
answer booklet.
2. SIGN your name in the box on the ont of the answer booklet.
3. ALL WORK MUST BE SHOWN in the bo
Math 160
Final Exam
Fall 2010
Name: _
TA: _
I
Signature:_
Tu/Th Time: _
INSTRUCTIONS:
1. Fill in all of the above spaces. Print your name legibly. Sign your name in the way it appears on your
identification card. ANY UNSIGNED EXAM WILL NOT BE COUNTED.
2. | 677.169 | 1 |
ISBN 13: 9780080107752
Numerical Analysis
Numerical Analysis is an elementary introduction to numerical analysis, its applications, limitations, and pitfalls. Methods suitable for digital computers are emphasized, but some desk computations are also described. Topics covered range from the use of digital computers in numerical work to errors in computations using desk machines, finite difference methods, and numerical solution of ordinary differential equations. This book is comprised of eight chapters and begins with an overview of the importance of digital computers in numerical analysis, followed by a discussion on errors in computations using desk machines. Subsequent chapters deal with recurrence relations and algebraic equations; basic properties of matrices; relaxation and finite difference methods; and numerical methods for unequal intervals. The derivation of Lagrange's interpolation polynomial is explained, together with curve fitting and the method of least squares, orthogonal polynomials, and integration methods. This monograph will be of interest to practicing engineers, mathematicians, and scientists as well as students005126780
Book Description Pergamon Press, 1965. Book Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. With usual stamps and markings, In good all round condition. Bookseller Inventory # 6605036 | 677.169 | 1 |
By James Stewart - Algebra and Trigonometry: 3rd (third)
Each trigonometry tutorial is separated into concept, examples and 'try it out yourself' sections, giving the student ample practice and clear explanation. However, if you know nothing about Trigonometry and want to learn about it, this book will do nothing but CONFUSE you. You can count on our math help through these difficult times! How can traffic flow along a network of roads be modeled? x In the first of two lectures on conic sections, examine the properties of circles and parabolas.
Pages: 0
Publisher: Cengage Learning; 20726th edition (February 18, 2012)
ISBN: B008UB835A
Multiple Trigonometric Sums (Proceedings of the Steklov Institute of Mathematics)
The Young Student'S Pocket Companion, Or Arithmetic, Geometry, Trigonometry, and Mensuration. with an Appendix
Hints to adding and subtracting negative numbers, mcdougal littell geometry resource book test answers, online linear algebra problem solver, "Basic Inequalities: Solve and Graph", quadratic formula discriminant worksheet free, cubing polynomials Logarithmic and Trigonometric Tables -. Math Pentagon apps empower Math teachers in 1:1 iPad program for differentiated instruction, early intervention, frequent progress monitor, and intensive training provision for students who need remediation. Administer own individual Student Circle The High School Trigonometry & 11th Year Math Problem Solver. The student is expected to: (A) investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools; (B) construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge; (C) use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships; and (D) verify the Triangle Inequality theorem using constructions and apply the theorem to solve problems. (6) Proof and congruence Trigonometry Mechanics: Trigonometry and Graphs Mechanics and Machine Elements. The little chipmunk that jumps greedily at the rewards will have you laughing. Number Strike: Bring the bowling alley to your living room with this great number pattern game. Simply aim and flick the ball at the correct pin to complete the pattern, and learn all about numbers! An exciting and challenging game for kids! Al Zebra's rewards will leave your kindergartener shrieking with delight and sharing it with friends and family Trigonometry: Mathspace.
You may still be able to print the images if turn off Java in your browser, and the plain images should appear that can be printed. Project MATHEMATICS!��videos explore basic topics in high school mathematics �in ways that cannot be done at the chalkboard or in a textbook. They bring mathematics to life with imaginative computer animation, live action, music, special effects, and a sense of humor. ����������������� Young people are attracted to mathematics through high-quality instructional modules that show mathematics to be understandable, exciting, and eminently worthwhile.� Each module consists of a video together with a workbook/study guide, and explores a basic topic in mathematics that can be integrated into any high school or community college curriculum.� The modules encourage interaction between students and teachers Treatise on Plane and Spherical Trigonometry. Q: What if I do not receive the notification that the eGift has been redeemed? A: If the email notification is missing, first check your Spam folder. Depending on your email provider, it may have mistakenly been flagged as spam. If it is not found, please email customer service at ( customerservice@thegreatcourses.com ) or call customer service at 1-800-832-2412 for assistance Tables of [Square Root Of] 1-R2 and 1-R2 for Use in Partial Correlation and in Trigonometry.
Greatest common divisor of 83 and 17, The answers to holt mathematics, factoring calculator, quadratic stretch factor, solve non linear system differential equation matlab, vertex form if you do not know "a", 7th grade ratio worksheets free. Integers games, fraction calulator, factoring expressions solver, how to graph an ellipse on a texas calc, mathematics factor tree problems, maths test algebra year 7 Four-Place Logarithmic and Trigonometric Tables. Not any three line segments may serve as the sides of a triangle. They do iff they satisfy the triangle inequality, or rather three triangle inequalities. Not any three angles may be the angles of a triangle Study and Solutions Guide for Algebra and Trigonometry. 10 MB In 1940, A A Lyapunov published his celebrated discovery that the range of a nonatomic vector-valued measure is convex and compact. 4 MB The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', a... 2015 We were pleased with the transaction!! ... book came fast.it was for school book for my son so he doesn't need to lug his book to school and home back and forth. This is very helpful in verifying you have the concepts and abilities mastered to work probelms Elementary trigonometry. Dover. 0486683362 The following text is a true coffee table book with beautiful diagrams. It uses a fair bit of linear algebra which is presented in the text, but I suggest linear algebra as a prerequisite. Its orientation is economics, so there is no Divergence Theorem or Stokes Theorem. Dewdney wrote a book of 66 chapters to briefly and succinctly cover the interesting topics of computer science Prep-Course: Trigonometry: A general review on Algebra and an overview of what is most important to retain from Trigonometry in order to be successful in future courses. (Volume 2). From the formula above we know that the tangent of an angle is the opposite side divided by the adjacent side. The opposite side is AB and has a length of 15. The adjacent side is BC with a length of 26. So we can write This division on the calculator comes out to 0.577. So we can say "The tangent of C is 0.5776 " or we see that there are three variables: the measure of the angle x, and the lengths of the two sides (Opposite and Adjacent) Euclid's Elements of Geometry: From the Latin Translation of Commandine. to Which Is Added, a Treatise of the Nature and Arithmetic of Logarithms ; ... Spherical Trigonometry : With a Preface .... Whenever you see that, the thing to think of is trigonometry Powlect Trigonometry. It will not be possible, however, within this small book to attempt mathematical proofs of the various theorems which will be stated A New Trigonometry for Schools: w. ans. Each solution step is provided with its objective, related definition, rule and underlying trig formula. Test preparation options automate development of printable math tests Theory of Equations: Polynomial equations; Imaginary and irrational roots; Symmetric functions of roots in terms of coefficients; Sum of rth powers of roots; Reciprocal equations; Transformations of equations Elements of Plane and Spherical Trigonometry: With Numerous Examples - Primary Source Edition. Remember SOHCAHTOA (it sounds like 'Sockatoa') or Some Old Hag Cracked All Her Teeth On Apples. The trigonometry portion of World Web Math is sparse. Topics are added as they become necessary for the Calculus and Vector Calculus portions of the text download By James Stewart - Algebra and Trigonometry: 3rd (third) Edition pdf. All answers should be expressed as common fractions NOT decimals. When measured in radians, as θ → 0, tan θ → sin θ which in turn approaches θ. This is called the small angle approximation and incurs an error of no greater than 0.1% for angles less than 5º. You can verify these relationships by examining the values for θ, sin θ, tan θ in Table 2 A Modern Elementary Trigonometry. | 677.169 | 1 |
The IB DP mathematical studies standard level (SL) course focuses on important interconnected mathematical topics. The syllabus focuses on: placing more emphasis on student understanding of fundamental concepts than on symbolic manipulation and complex manipulative skills; giving greater emphasis to developing students' mathematical reasoning rather than performing routine operations; solving mathematical problems embedded in a wide range of contexts; using the calculator effectively. There is an emphasis on application of mathematics and statistical techniques. It is designed to offer students with varied mathematical backgrounds and abilities the opportunity to learn important concepts and techniques and to gain an understanding of wide variety of mathematical topics, preparing them to solve problems in a variety of settings, develop more sophisticated mathematical reasoning and enhance their critical thinking.(more)
Mathematics Course Description
The IB DP mathematics standard level (SL) course focuses on introducing
important mathematical concepts through the development of mathematical
techniques. The intention is to introduce students to these concepts
in a comprehensible and coherent way, rather than insisting on
the mathematical rigour required for mathematics HL. Students should,
wherever possible, apply the mathematical knowledge they have acquired
to solve realistic problems set in an appropriate context.
The internally assessed exploration offers students the opportunity for
developing independence in their mathematical learning. Students are
encouraged to take a considered approach to various mathematical activities
and to explore different mathematical ideas. The exploration also
allows students to work without the time constraints of a written examination
and to develop the skills they need for communicating mathematical
ideas. (more) | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
Whether you're a hobbyist or a budding game design pro, your objective is probably the same: To create the coolest games possible using today's increasingly sophisticated technology. To do that, however, you need to understand some basic math and physics concepts. Not to worry: You don't need to go to night school if you get this handy guide! Through clear, step-by-step instructions, author Wendy Stahler covers the trigonometry snippets, vector operations, and 1D/2D/3D motion you need to improve your level of game development. Each chapter includes exercises to make the learning stick, and Visualization Experience sections are sprinkled throughout that walk you through a demo of the chapter's content. By the end of the volume, you'll have a thorough understanding of all of the math and physics concepts, principles, and formulas you need to control and enhance your user's gaming experience.
About the Author
Wendy Stahler was the first course director of the Game Design and Development Program at Full Sail Real World Education in Orlando, Florida. During her six years at Full Sail, she concentrated much of her time toward developing the math and physics curriculum. Wendy is also an adjunct professor at Rollins College in the IT department, and just recently took on her next challenge of IT training in the corporate world. Wendy graduated from Rollins College earning an Honors B.A. in Mathematics with a concentration in Computer Science and an MA in Corporate Communication and Technology, graduating with honors. | 677.169 | 1 |
 Reflection: Real World Applications Inverse Functions - Section 2: Why Do We Use Functions? What Are Inverse Functions?
One of my biggest realizations as I have matured as a teacher is the fact that students tend to grasp mathematical concepts at a deeper level when presented in context. Traditionally, real-life problems come after a skill is gained and are used to practice that skill. Reinforced in the "traditional" text books that were used in my school, this is how I first used these types of tasks and problems. The good news is that I have never been a follower and began experimenting with other uses for problems in context. One major discovery was the fact that students, particularly those that struggle with math, tend to grasp concepts more quickly in relation to something in real life.
These notes are a good example of this idea. Students always seem to forget inverse functions and/or understand them only at the switch x and y level. When presented through a simple modeling problem, the concept became much richer as seen in these Student Notes. My students could describe both a function and its inverse in relationship to each other. This idea also stayed with them longer than I have seen it stay when just presented with the "traditional" approach.
I include Warm ups with a Rubric as part of my daily routine. My goal is to allow students to work on Math Practice 3 each day. Grouping students into homogeneous pairs provides an opportunity for appropriately differentiated math conversations. The Video Narrative specifically explains this lesson's Warm Up- Inverse Functions which asks students to solve an equation for both x and y and compare the results.
I also use this time to correct and record the previous day's Homework.
This question is not only meaningful to this lesson but also to this unit and all of Algebra. I love to tell my students that mathematicians are always looking for shortcuts (Math Practice 8), not because they don't want to do the mathematics but because they want to do it in the most efficient way. A formula or function provides a MASSIVE amount of information in a very small amount of space which makes it a great "shortcut".
For example, two numbers add to 1000. Even if I limited myself to whole numbers, this would take me a very long time to list. If I included all real numbers, I could NEVER finish. However, if I write x + y = 1000, this represents ALL possibilities.
Inverses in Real Life
I introduce inverse functions through a real life scenario. I found that you have to be extremely careful in the problems that your pick to explore inverse functions. Both variables have the possibility of being the independent variable. This excludes any function with time as one of the variables.
The Jamisons got lunch at the Nampa Farmer's Market. They bought drinks for $1 and hotdogs for $2 and spent $10.
The students begin by finding an equation to model this situation(Math Practice 4). It should look something like d + 2h = 10. We then solve this equation for both d and h, look at the equation as both a function of hot dogs and drinks, and then compare our findings (Math Practice 7). This will lead us to the concept of inverse functions.
I use my class pairings extensively during a guided investigation style lesson like this. I have the students work through whatever step and then check with their partner. We then discuss it as a class. I vary my methods for choosing a person to share their work. Sometimes I will call on someone randomly. Sometimes I will ask for volunteers. If the problem has a limited number of solutions like yes/no or true/false, I will ask for a thumbs up/down from everyone.
Once we have finished this problem, we explore some of the cases of inverses situations in everyday life. This provides an opportunity for students to develop a deeper conceptual understanding of inverses of functions.
Inverses in Algebra
Students must also be able to find the inverse of a function not connected to a real life scenario. I am showing the traditional method of switching the x and y values. It is important to make it clear that it becomes a DIFFERENT function. There is no way that y = 3x - 5 is the same as x = 3y - 5. This may seem obvious but not always to the students. The notation f(x) and f-1(x) represent two different functions. The fact that they both use x is confusing. I point them back to the hotdog/drink problem and remind them that the x stood for both drinks and hotdogs depending on which function we looked at.
Resources (1)
Resources
This Guided Practice has students find the inverse of linear as well as a quadratic functions and includes a real life scenario. To focus on having the students verbalize the connections between the equation and the scenario (Math Practice 3), a useful method is to have one student explain their thinking and then the other paraphrase. This also ensures that they are all participating and building understanding.
Another strategy that I use is to walk around the room listening for particularly insightful ideas or explanations. I then ask students to share. This is especially helpful when I can pick a student who doesn't usually share to help build their mathematical confidence.
Resources (1)
Resources
This Homework begins with a variety of linear and power functions. The students are asked to find the inverse for each one. The goal of this portion is to reinforce the skill learned in the lesson. The final two problems give the students a real life scenario involving two unknown quantities that are related. The students are asked to write a function for each variable and then explain how the functions relate to each other and to the graph. | 677.169 | 1 |
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