text stringlengths 6 976k | token_count float64 677 677 | cluster_id int64 1 1 |
|---|---|---|
User menu
You are here
This book presents 49 space-related math problems published weekly on the SpaceMath@NASA site during the 2011-2012 academic year. The problems utilize information, imagery, and data from various NASA spacecraft missions that span a variety of math skills in pre-algebra and algebra. | 677.169 | 1 |
DescriptionAll pages are filled to the brim with activities for maximum educational value.
High-interest features and real-world applications enliven the learning experience and hold student interest
Week-by-week summer study plans support use as a "summer bridge" learning and reinforcement program.
All content aligned to state and national standards
Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently.
Complete review of Grade 4 math aligned to the new "common core" state standards
Week-by-week study plans support use as "summer bridge" program for children entering Grade 4
DrillAbout the author
McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide
Similar 5 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 5 3 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 3 1 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 1Now students can bring home the classroom expertise of McGraw-Hill to help them sharpen their math skills!
McGraw-Hill's Math Grade 6 helps your middle-school student learn and practice basic math skills he or she will need in the classroom and on standardized NCLB tests. Its attractive four-color page design creates a studentAll-new lesson-by-lesson instruction in the math skills you need to earn a passing grade on the latest version of the GED test
McGraw-Hill Education: Strategies for the GED Test in Mathematical Reasoning focuses on developing the specific math skills required to succeed on the Mathematical Reasoning section of the test. You get intensive, lesson-by-lesson instruction in all of the topic areas covered by the Common Core State Standards that are now the basis of the exam.
Includes:
Drills and exercises--many in the question formats now used on the real exam--that reinforce your learning and assess your progress A full-length practice GED Mathematical Reasoning test section that provides a simulated test-taking experience, building your confidence in advance of test day
Powerful, impressive resumes that lead to the right job! Nearly 100 sample resumes and 20 cover letters for each field-more than any competing series A workbook format to organize information before writing a resume Perfect for college grads and people changing careers or re-entering the job market A variety of eye-catching resume formats
Smarten up your resume! You've worked hard for your science or technical degree; now it's time to take that education and put it to work. Get an edge on the other job applicants with Resumes for Scientific and Technical Careers, a resource packed with expert advice on creating concise, stylish resumes that will instantly get you noticed.
With this go-to-guide Scientific and Technical Careers you'll make a strong first impression and take a confident step toward landing the job of your dreams.
You've taken some time away from your career path, but you're now ready to get back into the job market. Put your previous education and experience to work and get an edge on the other job applicants with Resumes for Re-Entering the Job Market Re-Entering the Job Market you'll make a strong first impression and take a confident step toward landing the job of your dreams.
You've worked hard for your computing degree; now it's time to take that education and put it to work. Get an edge on the other job applicants with Resumes for Computer Careers Computer Careers you'll make a strong first impression and take a confident step toward landing the job of your dreams.Now students can bring home the classroom expertise of McGraw-Hill to help them sharpen their math skills!
McGraw-Hill's Math Grade 8Derived from the content of the respected McGraw-Hill Dictionary of Scientific and Technical Terms, 6th Edition, each title provides thousands of definitions of words and phrases encountered in a specific discipline.
All include: * A pronunciation guide for every term * Acronyms, cross-references, and abbreviations * Appendices with conversion tables; listings of scientific, technical, and mathematical notation; tables of relevant data; and more * A convenient, quick-find format
In celebrating its 125th anniversary, McGraw-Hill examines its past and looks ahead to a bright future. One Proud Legacy: Two Powerful Companies traces McGraw-Hill's roots in the emerging railroad industry and explores the remarkable opportunities to come as it separates into two independent companies, one focused on education, the other on the global capital and commodity markets. Following the sale of McGraw-Hill Education (expected early 2013), the company's shareholders are anticipated to rename the company McGraw Hill Financial. The new company will include some of the most well-known names in finance and business, including Standard & Poor's, S&P Capital IQ, S&P Dow Jones Indices, Platts and J.D. Power and Associates. McGraw Hill Financial and McGraw-Hill Education will continue the mission set out by founder James H. McGraw in 1888: give people the insight and essential intelligence they need to make decisions vital for their future other print or digital book Includes six sample tests previously only available in digital format Answer keys with full explanationsAll new for the new GED test! Drills and exercises you need to ace the Social Studies section
The GED test includes a Social Studies section covering civics, U.S. history, economics, and geography. This workbook provides the focused practice you need to earn a passing score on this section.
McGraw-Hill Education Social Studies Workbook for the GEDTest provides intensive practice in all of the national Social Studies standards topic areas covered by the new test. Drills and exercises reinforce learning and assess your progress.
Now students can bring home the classroom expertise of McGraw-Hill to help them sharpen their math skills!
McGraw-Hill's Math Grade 7An all-new version of the bestselling beginner's guide that gives students a solid foundation in basic skills before they embark on formal preparation for the GED test
McGraw-Hill Education Basic Skills for the GED Test gives students the tools they need for success on the GED exam. Fully updated to align with the latest test format, this book covers all four subject areas of the GED test—Reasoning Through Language Arts (RLA), Social Studies, Science, and Mathematical Reasoning.
Includes hundreds of exercises that help reinforce new skills and multiple-choice tests that let students evaluate their comprehension Features post-tests in each area that evaluate students' new skills, giving them concrete feedback on their progress
Short on time? Choose the GED test guide that gets straight to the point!
If you want smart GED test guidance from educators you can rely on, but your study time is limited, this is the book for you! McGraw-Hill Education: Short Course for the GED Test gives you quick and concise preparation for all four test subject areas--Reasoning Through Language Arts, Social Studies, Science, and Mathematical Reasoning. You'll get the review and practice you need to score your best--and get the high school credential you want!
With this time-saving guide, you will:
Learn all the essentials about the test Reinforce new skills with exercises and drills Get ready for each test section with instruction and quizzes on every test topic Take Posttests to measure your GED test readiness
This Short Course can help you sharpen your skills, boost your confidence, reduce your stress, and do your best on test day--all in a short amount of time!
If you need to practice for more than one SAT* Subject Test—or if you just want to try a few samples to help decide which test to take— McGraw-Hill's 15 Practice SAT* Subject Tests prepares you for toplevel performance. It provides two practice exams for each of the five leading enrollment tests: U.S. History, Math Level 1, Math Level 2, Biology E/M, and Chemistry, plus five additional SAT Subject Test samples in World History, Physics, English Literature, Spanish, and French.
Unique features to suit every student's needs include:
15 sample tests on the most popular subjects Specific question-answering strategies for the most common question types Invaluable information on the academic background you need for each test
Packed with proven tips from test-prep professionals, McGraw-Hill's SAT* Subject Tests is the smartest way to build test-taking confidence, get higher scores-and win admission to the college of your choice | 677.169 | 1 |
Circuit Training - Implicit Differentiation (calculus)
Be sure that you have an application to open
this file type before downloading and/or purchasing.
374 KB|2 pages
Product Description
Give your students engaging practice with the circuit format! In order to advance in the circuit, students must search for their answer (sometimes it is dy/dx evaluated at a specified point, sometimes it is just dy/dx). These 16 questions are progressive in nature and so it could even be used as guided notes. I generally use circuits after I have given only a few examples in notes, then let the idea unfold for the students as they work quasi-cooperatively on the circuit. This format has allowed me to move away from being in "direct instruction" mode into being more of a facilitator. Also, the circuit format would be great for anyone who is "flipping" their classroom.
This circuit has no exponential nor logarithmic functions, and no inverse trig functions (there are some regular trig functions). The entire circuit can and should be worked without technology.
I do not include an answer key since the answers are embedded in the circuit. The only prep the teacher needs to do is work the circuit ahead of the students, the circuit takes are of the rest!
These circuits are thoroughly checked, but if you ever find a mistake or need to give other feedback, I would love to hear from you! | 677.169 | 1 |
1. Introduction
This section of the guidelines explains how to use elements
to mark up mathematical expressions in DAISY books.
The elements described here come
from the W3C
MathML Standard.
MathML forms the basis of DAISY's
Modular Extension for Mathematics, which is the normative reference
upon which these guidelines are based.
A mathematical expression is a collection of symbols representing
a mathematical idea. A mathematical expression may be as simple as a single variable
or it may be a complex expression that spans many lines.
It may occur either inline or in a block context.
All content that represents mathematical expressions should
be marked up using MathML; images (pictures) alone should not be used to represent mathematical expression because
these can not be rendered with synthetic speech or converted to braille.
Mathematical content must be enclosed in the <math> element. The children
of the <math> element must be valid MathML presentation elements. While MathML does not require the
altimg and alttext attributes to be present on the <math>
element, the MathML in DAISY Specification does require these attributes to be specified. These attributes provide a fallback
mechanism for basic DAISY players that are not capable of rendering MathML. The resolution of the
image referenced by the altimg attribute should be such that it is readable when scaled for large print.
The alttext value should
unambiguously describe the mathematical expression.
2. Authoring Accessible MathML
This section reiterates key ideas and rules from the MathML specification
that pertain to authoring accessible MathML. Skip to Section
3 for guidelines on embedding MathML in DAISY documents.
2.1. Benefits of Accessible MathML
For typical applications of Presentation MathML, such as embedding formulas
in an HTML document or importing equations into an equation editor, the visual
appearance of the math content needs to closely match the visual appearance of
"traditional" notation, such as handwritten math or the output of a document
processor or typesetting program. For these purposes, it is not always
important that the markup is semantically interpretable, as long as the MathML
content is rendered correctly for the visual user.
However, this is not the case for MathML in DAISY. Because the audience of
DAISY books is broader, including readers with visual or learning impairments,
MathML content must be suitable to be rendered intelligibly via speech processing and braille
translation software in addition to the content's usual visual rendering. This
means that the appropriateness of the underlying markup is just as important as
its visual rendering.
In addition, as MathML continues to be adopted and incorporated into
software, producing content according to the MathML specification will ensure
that the content is portable and will render consistently, regardless of the
medium. XSL Transformations and text processing on semantically correct content
will also produce more predictable results.
2.2. Invisible Operators
Math in traditional notation employs several "invisible operators", i.e.
operators whose symbols are not explicitly shown but function as if the visible
operator were present. These operators should be marked up in MathML to
preserve their meaning as well as to prevent possible ambiguity for the DAISY
renderer.
DAISY renderers will not pronounce anything enclosed in an <mphantom> element; therefore, do not use <mphantom> in combination with an operator to create invisible operators.
2.2.1. Implicit Multiplication
The "invisible times" operator (⁢) should be used to
indicate multiplication whenever the multiplication operator is used tacitly in
traditional notation.
2.3. Proper Grouping of Sub-expressions
Although not required it is good practice to group sub-expressions as they would be interpreted mathematically. Properly grouped sub-expressions using <m:mrow> do not necessarily affect visual or aural rendering but they can improve spacing, linebreaking and indentation by a rendering system.
For further details refer to 3.3.1.3 Proper grouping of sub-expressions using <m:mrow> of the MathML 3 specification.
See Fill-in-the-Blanks for the use of <mspace>, <mphantom>, or <mtext> containing non-breaking spaces ( )
as spacing elements to indicate blanks to be filled in by the user.
2.5. Numbers
All numeric quantities should be enclosed in an <m:mn>
element. Digit group separators, such as commas, periods, or spaces, should
also be included as part of the number and should not be treated as operators.
To follow the notation of AB and CD in this example
the multi-letter identifiers need the mathvariant attribute set to "italic". The default value
is "normal" (non-slanted) for identifiers consisting of more than one character. See
3.2.3.2 Attributes
of identifiers of the MathML 3 specification.
2.7. Superscripts and Subscripts
It is important to apply superscripts and subscripts to the appropriate
element or sub-expression (with the help of mrow, mfenced, etc.) . As
the example below shows, the <m:msup> element takes the entire
parenthetical expression — the exponent's base — as its first argument. It is
not correct to apply a superscript or subscript to a closing parenthesis or
any other grouping symbol.
2.8. Elementary Math Notation
With the introduction of MathML 3, elementary notations previously
represented with <mtable> now have their own layout
elements. For long division and stacked expressions use the new elements
<mlongdiv> and <mstack>
instead of <mtable>. See More Examples:
Example 4 in which <mtable> may still be used
appropriately for long division.
2.9. Fill-in-the-Blanks
Blanks in a "fill-in-the-blank" style of question are often visualized by
underlined spaces, empty circles, squares, or other symbols.
To indicate a blank, set the class attribute of the MathML element that will represent the blank
to "MathML-Blank". Usually, this element will be an <menclose>
element that draws a line under, or a box around, some spacing element. Typically, that element will be an
<mspace>,
<mphantom>, or <mtext> that perhaps contains non-breaking spaces ( ), or another
element as is appropriate. All of these can be fitted to match the required size.
The MathML code to represent the blanks in the (horizontally presented) subtraction problem in Example 1 illustrates the case of an menclose element that draws a line under an mspace of an appropriate size.
In the two-dimensional subtraction problem in Example 1 the element mn was used to represent the blank because of the special rules concerning
numbers and layout inside of mstack. See the MathML specification for details about mstack. Note also that no explicit blank is visible in the image of the mstack example. In a situation like this one, where answers are expected, blanks should be used in the MathML representation.
In an interactive electronic environment where the user should fill the blank on the displayed page, Javascript would typically be used to invoke an editor when the blank is clicked on. To facilitate this, an 'id' should be added to the element to identify it for editing and eventual processing. Additionally, an "onclick" or similar event trigger should be added. The details depend upon the type of interaction desired, along with the specific Javascript being used.
3. Authoring MathML in DAISY
This section addresses how MathML should be embedded into a DAISY document.
The examples in this section illustrate both simple and complex situations of
mixed math and text content. For situations not covered by the examples
content authors should use their best judgment.
Here are some general guidelines to follow:
All content representing mathematical expressions should be marked up
using MathML; images (pictures) alone should not be used because they
cannot be rendered with synthetic speech or converted to braille.
Make sure that the MathML content to be embedded is valid and
meets the recommendations in these guidelines.
Apply DAISY markup as much as possible, including for mathematical notation.
Documents enriched with DAISY markup offer the user better facilities to navigate between mathematical expressions with existing DAISY
reader controls.
DAISY reader support may be limited for some MathML features. The MathML in DAISY specification requires the altimg and alttext attributes to be present on the math element. They provide a fallback mechanism in case a rendering system has limited support for MathML. The alttext value should unambiguously describe the mathematical expression.
3.1. Special Characters
Many special characters used for math have named entity references in the
MathML DTD but are not named in the DTBook DTD. To access those symbols Unicode code points
should always be used. In general a Unicode code point looks like &#xnnnnn;
It is highly recommended to include a comment next to the numeric entity reference to convey its
name as a mnemonic during code editing. Good practice suggests using its unique Unicode standard character name (lower or upper case).
For example <m:mo> ∑ <!--N-ARY SUMMATION-->
</m:mo>
Note: The characters representing 'less than', 'greater than' and 'ampersand' are predefined
entities in XML. The entity reference names must always be used in these cases.
character
reference name
<
<
>
>
&
&
3.2. Inline Variables
A variable — even if a single letter — ideally should be marked up in MathML
because it represents a mathematical expression. This way, both the audio and
visual rendering of the variable will be not only accurate but consistent
document-wide. For example, the letter "a" in English should always have the
long "a" sound when read aloud as a math variable.
<p><span>To write an equation for direct variation, you first find the constant of
variation </span><m:mathid="m24"alttext="k"altimg="images/eq012.jpg"xmlns:dtbook=" k </m:mi></m:math><span>   <!--no-break space-->using a point other than the origin
that lies on the graph of the equation. Then use the value of </span><m:mathid="m25"alttext="k"altimg="images/eq012.jpg"xmlns:dtbook=" k </m:mi></m:math><span>   <!--no-break space-->to write an equation.</span></p>
3.3. Mixing Text and Mathematics
In MathML the <mtext> element is used in conjunction with other MathML elements to denote commentary text. The <mtext> element can be used to mark up annotations and notes belonging to mathematical expressions.
Rendering of <mtext> elements uses the inherited properties of the corresponding math, such as baseline alignment and font, which results in text that has a clean visual appearance. For inline MathML in DAISY, however, it is usually not desirable to mark up the surrounding, ordinary text this way. Instead, use DTBook's built-in
document structure and formatting elements as in the example below.
In case of block level math, too, annotations are typically better marked up using DTBook's elements. DTBook table and list structures combining MathML expressions with DTBook formatted text may offer good ways to represent a mixture of math and annotations. See an example using a table and the section on diagrams and illustrations.
Also, if the text were emphasized, then DTBook provides better means for emphasis of text.
<li><span>(b) If </span><m:mathid="m39"alttext="upper a is a subset of upper b"altimg="images/3a1.jpg"xmlns:dtbook=" A </m:mi><m:mo> ⊆ <!--subset of or equal to--></m:mo><m:mi> B </m:mi></m:mrow></m:math><span>and </span><m:mathid="m40"alttext="upper b is a subset of upper c"altimg="images/3a2.jpg"xmlns:dtbook=" B </m:mi><m:mo> ⊆ <!--subset of or equal to--></m:mo><m:mi> C </m:mi></m:mrow></m:math><span>, then </span><m:mathid="m41"alttext="upper a is a subset of upper c"altimg="images/3a3.jpg"xmlns:dtbook=" A </m:mi><m:mo> ⊆ <!--subset of or equal to--></m:mo><m:mi> C </m:mi></m:mrow></m:math><span>.</span></li>
3.4. Line Breaks
MathML provides a powerful mechanism for linebreaking and indentation to
achieve a desired layout. Linebreaking can be automatic or manual in MathML.
Manual linebreaks and indentation should be added when a specific layout is
desired such as when alignment helps show the structure of the problem. Do not
use manual linebreaks simply because the expression is long but let the MathML
renderer decide the proper linebreaks based on the font and width of the
display in those cases.
Stacked equations and long divisions should be marked up with <mstack> and <mlongdiv> respectively. See Elementary Math Notation
Not all of current math accessibility tools provide good navigation within a
math expression. By breaking large math expressions apart, the textual navigation features of DAISY players can be used. Because of this, authors may break up multi-line expressions into several MathML islands. Alignment (e.g., on an "=") is
common in situations like this, therefore a (regular) table should be used to preserve
the columnar nature of the layout.
A table should also be used when there are
textual descriptions alongside each row of text (instead of using
<mtext>). This is illustrated in the following example. Here, a table allows for better navigation with
current tools.
Textual labels often represent headings for rows or columns, even if they
are not at the top or bottom of the table. In this example, note the use of the
<th> to mark up the annotations on the right-hand side of the computation as headings.
3.5. Punctuation
In a DAISY document, a MathML island should not contain sentence
punctuation. However, punctuation symbols may still be used as operators when
they have a mathematical meaning.
As the example below shows, the punctuation following each list item is
inside a <span> after the MathML island. This allows the
DAISY renderer to unambiguously identify punctuation and pause
appropriately.
Here, the first comma is used as a punctuation mark, and the second one is used as an
operator.
3.6. Natural-language Mathematics
Textbooks sometimes use the written form of math symbols. For example, the
multiplication sign (×) might be written as "times" or "multiplied by".
Because "times" and "multiplied by" are ordinary English words, the DAISY
reader will not have an issue reading them. These natural-language expressions
could or could not be included in MathML. For instance, the word "times" in "x = 2 times a" could be marked up as an operator by means of <m:mo>times</m:mo>.
In case a natural-language expression corresponds to a regular math expression, the expression should be formatted in MathML to illustrate the correlation. This often occurs in elementary math when a transition is shown from a natural-language expression into an expression using math symbols. In the next example "the regular price" (in "r = the regular price") is formatted as a multi-letter variable.
The first equation ("r = the regular price") uses ordinary English words, but because the equation
relates to the subsequent ones, it is better formatted in MathML. This also has
the benefit of preserving the MathML color formatting; otherwise, the color of
each phrase ("percent you pay", "regular price", and "sale price") would need
to be explained with a text description. See Color for
more details.
3.7. Units
MathML in DAISY should follow the guidelines outlined in Units
in MathML. To summarize briefly:
Use the "invisible times" operator (⁢) to
separate a numeral or variable from its unit. Additional space can be added
for better visual rendering. The "invisible times" operator is included for semantic correctness (in this case representing the product between a numerical value and a unit of measurement), not because of some MathML-related issue.
A unit should be enclosed in an <m:mi> element with the
attribute mathvariant set to "normal" to prevent
rendering in italics and the attribute class set to
"MathML-Unit" to distinguish the unit from an ordinary
identifier.
As described in 3.6 Natural-language Mathematics,
natural-language expressions that can be handled by the DAISY reader could be included in or left out of the MathML island. Likewise, natural-language units, i.e. units that are spelled out, could be part of the MathML expression or be left out.
In the text "8 animals - 5 animals = 3 animals" MathML markup should be used to mark up "animals" as units by means of <m:mn> 8 </m:mn> <m:mo rspace='thickmathspace'> ⁢ <!--invisible times--> </m:mo> <m:mi mathvariant='normal' class='MathML-Unit'> animals </m:mi> etcetera. However, in the example below, putting the word "animals" in text makes sense because it is not part of the math expression.
3.8. Emphasis
Ensure that mathematical type
styles take precedence over any emphasis that would be inherited from the
island's surrounding environment. This is accomplished with the
mathvariant attribute, which is valid on all token elements and
the <mstyle> element. The value of mathvariant
for an element will always override the rendering attributes of the
DAISY formatting surrounding it. More information on this subject can be found
in Chapter 3
of the MathML 3 specification.
If an entire math expression is emphasized, apply the emphasis as
appropriate to the complete MathML island.
Note: By default, the
<m:mi> element's mathvariant
attribute will default to "italic" if its content is a single
letter.
Because the emphasis has no mathematical meaning, the entire MathML island is
emphasized with <strong>.
3.9. Color
Although color can be expressed in MathML with the mathcolor
and mathbackground attributes, DAISY has no built-in method to
express color to non-visual users. However, math elements can still be
formatted with color if the color serves as emphasis.
In cases where corresponding colors occur both inside and outside of the
MathML island, it may be desirable to format the colored text in MathML as
well, in order to show the connection, via mathcolor, between the
text and the math. If only one color is used, bold or italic type can be used
instead of color.
3.10. Tables and Lists
MathML provides built-in support for tables and equation numbering, and
DAISY provides similar functionality with lists and tables. In practice, it is
not always clear which structural elements should be used. Ideally, a table
(either DAISY <table> or MathML <mtable>)
should be used when information between aligned rows or columns are
semantically related. In other cases, such as ordinary problem numbering or
information presented in an ordered sequence, a <list> is
more appropriate.
Choosing between <table> and <mtable>
can be tricky. DAISY structural elements are advantageous because
they are contained within the DAISY document structure, making them fully
navigable by the user, whereas the user may only "enter" or "exit" an
<mtable> in a MathML island. However, the
<mtable> element is useful because it can be tweaked easily
for visual alignment without creating new table cells, which can improve
reading flow for the user.
<mtable> should still be used for matrices and other
table-like math layouts.
The middle column header has no math and therefore does not belong in a
MathML island.
The inline MathML expressions are emphasized.
3.11. Diagrams and Illustrations
Often, diagrams and illustrations that involve mathematical content cannot
be handled with MathML alone. In these cases, an image must be used and, if
possible, the mathematical content should be marked up with MathML inside a
producer's note.
This example could be formatted by using mtable and malignmark. However, it would not look good, let alone resemble its original visual appearance. Moreover, this would hardly improve its accessibility. Therefore, the entire diagram should be one image, and there should be a producer's note that contains the raw equation and
an additional note explaining the illustrative components of the diagram.
In problems 9 and 10, colored symbols are used to represent variables. These
are marked up as identifiers. A black square (■) and a
black triangle (▲) are used, with the
mathcolor attribute of the <m:mi> element set to
"blue" and "red". This creates a similar look to the
colored shapes in the original problem. | 677.169 | 1 |
Find a Shoreline, WA PrealgebraAccording to a passage what would or should the protagonist or antagonist do. What are the main points in the end, and in the beginning and how they are tied together? What summarizes a section in the passage?
...In this DiffEq class, I learned about how to solve first-order differential equations that describe systems such as population growth and the harmonic oscillator. These differential equations even involve imaginary numbers and eigenvalues and eigenvectors. I came to appreciate those after I took this class and I enjoyed it! | 677.169 | 1 |
Euclidean, non-Euclidean, and projective geometries from an axiomatic point of view.
We will discuss the axiomatic systems for geometry that the textbook discusses, but also discuss axiomatics in general, and their role in modern mathematics. This is a theoretical course, and you are expected to produce proofs on your own as required
I may ask you to meet with me to discuss details of homework sets, and I suggest that before you turn in your work, you make a copy, so you can consult it if needed.
Occasionally, I post links to supplementary material on Google+ and Twitter | 677.169 | 1 |
Learning math effectively
Details
Published: Tuesday, 30 July 2013 13:47
Many students face with problems and serious difficulties when they start learning mathematics. Of course, we can name hundreds of reasons but let's try to be laconic and underline the main aspects of this phenomenon.
Firstly, math is not a subject that can be simply memorized by repeating formulas again and again. The same math concepts, theorems and techniques can be used to solve completely different problems and there is no ready-to-use template for every specific task. It is not enough for you just to know the theorem – you need to understand every detail, every step of a proof. Every time when you hear something new, you should ask yourself "why so?".
Reasoning is very important for understanding and it brings interest to your studying. You may even try to predict theorems and statements which will be revealed in your next lecture notes. This will bring you deep understanding of mathematical principles. One more important thing is to feel connection between theoretical and practical knowledge you obtain. Sometimes while applying algorithms you have studied for solving different problems you don't see their connection with theoretical materials you have learnt before. It is very important to be capable to apply theory in practice.
However, pure mathematics is not enough for solving real-life problems. Mathematical apparatus is only a tool for modeling real processes. If you want to solve practical problems you should additionally know some programming languages, computational engines, quantitative techniques. A lot of mathematical forums and websites require using LaTeX language for typing formulas. It can be quite useful for students searching for help in the Internet.
And the last but one of the most important things is self-education. Lectures give poor knowledge with limited number of notions. But when you need to understand others mathematical notions and expressions you should read additional literature. It is important to learn standard notations of mathematical objects. When you follow all the steps mentioned above and you have finally become a good expert in some branch of math, it is a very nice experience to write new or edit existing articles about math in web. In some universities teachers make their students to publish new articles on Wikipedia. This is a good idea because when you share your knowledge and try to explain something you get deeper understanding of the material. You may also sign in in different math forums and help other people with their studying. | 677.169 | 1 |
Lessons that will help you with the fundamentals of this lesson: Òåêñò âèäåî Äàòà çàãðóçêè: 3 äåê. This 77 minute basic algebra lesson will introduce you to five types of word problems that are applications of linear equations. This lesson will show you first ovfn to translate the words into algebra and then how to frigidaire wall oven manual - number problems - age problems (like Kevin is 3 times as old as his nephew, Doug. Two years ago, Best money books for kids was 5 times as frigidarie as Doug was 4 years ago. Find their present ages. Lessons that will help you with the fundamentals of this lesson: www.
The NC End-of-Grade ccna 640 802 ebook NC Frigidaire wall oven manual tests are scored on four eall levels, with Level 1 being the wall and Level 4 the highest. Students scoring at or above Level 3 are frigidaire wall oven manual to be proficient. The North Carolina Test of Computer Skills and the North Carolina Competency Tests are scored on a pass-fail basis. A good resource on the North Carolina Testing program is the NC Department of Public Instruction website. Preparing for North Carolina EOG and EOC Tests For general tips on test preparation, please visit our standardized test overview page. | 677.169 | 1 |
9th class is the one in which most of the students realize what exactly is their goal in life. Those students started preparing for the competition and their goal right from the ninth class, since in ninth class students get a bit mature to understand the gravity of competition.
So, for such ambitious students who want to prepare for their future competitions Pioneer Mathematics is here with the right guidance, coaching and best quality study material. Our package includes-
-NCERT solutions will help the students to solve their doubts anytime and anywhere. NCERT is the most important book which must be solved by each and every student.
-9th R.D. Sharma solution is not available anywhere and this is the most important book for getting extra mathematics knowledge and strengthening the base. Pioneer Mathematics is here with complete RD Sharma discussion whenever you require. Students can solve all their RD Sharma doubts whenever they feel like.
-Pioneer Mathematics is here to help all students and teachers with latest CCE pattern model test papers and sample papers. Special test series will help them judge themselves on All India Level.
-Online tests of each chapter will provide a boon in thorough testing of the chapter. Objective practice with smart solutions will give them two-way thinking of solving the question and thus sharpening their perspective.
-9th class IIT Foundation Course in most useful specially for IIT and engineering aspirants and even for Commerce and Medical students. Mathematics is base of every subject and physics is all mathematics. In Commerce, mathematics is used everywhere like accounts, economics, etc. This 9th class IIT JEE preparation will lay a very strong foundation for Mathematics Competition exam which will be given by everyone eg. IITJEE, CAT, CLAT, GRE, TOEFL etc.
-9th class Olympiad Foundation course will provide exposure to students at international level. In this course there is proper and right guidance for 9th class maths olympiad students.Also this course will raise the mathematics skills of every child. This Program will lay the strong base for olympiad preparation for the students who will be trained on Regional Mathematics Olympaid, national and international level.
-Pioneer Mathematics CBSE 9th class coaching along with content quality and quantity will help the students to mould, sharpen their brain and surely help them to become a mathematics champion. | 677.169 | 1 |
What's it all about?
Math isn't about plugging numbers into formulas. It's about knowing enough to make the numbers and formulas work for you. Math can be incredibly useful - but only if you understand how and when to apply it in your everyday life.
This course will show you how to use math to your advantage. You won't find any theory or memorisation here. The lessons that make up this course are filled with practical exercises and information that you can put to immediate use. You'll find out some very interesting things about how calculators work, and then you'll discover how best to get a handle on your income and expenses. You'll be able to check your payslip, invoices, and bank statements for errors and overcharges, and you'll become more skilled at handling money and comparing investment opportunities.
You'll learn how to calculate percentages, including the proper amount to pay in tips, commissions, taxes, and discounts. You'll find out how to calculate interest rates and you'll develop a better understanding of mortgages, credit cards, and other types of loans. You'll discover a handy method for converting one type of measurement to another, and you'll be able to calculate areas correctly so you don't overspend on your next home improvement project. You'll become adept at interpreting graphs, calculating the probability that something will (or won't) happen, and understanding the statistics embedded in test results, polls, and even news storiesStart Dates:
14 June
12 July
16 August
13 September
Who's the instructor?
Ivy Bishop has been teaching math for eight years. Her work in inner-city schools has given her the opportunity to work with a wide range of students at different academic levels. She has a bachelor's degree in math education, which has allowed he... Read more
What do others think?
The Learning Environment
From the moment that you enrol in Maths revisited | 677.169 | 1 |
Physics Formula Sheet is must have app for the physics student, academic, or just anyone who uses physics. The app includes dozens of useful formulas and descriptions of them, along with a comprehensive list of constants and math laws. Physics Formula Sheet makes that tough physics assignment easy, and can be used to help prepare for exams. The app | 677.169 | 1 |
Overview
begins with chapters designed to review and confirm basic math principles. Common drug measures are introducted next, followed by detailed lessons on medication labels and dosage calculations. Instructions on body weight and body surface area, intravenous calculations, and pediatric medication calculations follow. This new edition of CURREN'S MATH FOR MEDS: DOSAGES AND SOLUTIONS features full-color photos of drug labels and syringes, as well as hundreds of examples, practice problems, self-test questions, and more for developing learners into safe and effective practitioners. Deliver your course with help from the master, Anna Curren, and CURREN'S MATH FOR MEDS: DOSAGES AND SOLUTIONS, 11th Edition--the only calculations text to reach more than a million learners! | 677.169 | 1 |
Mathematics
Some students find mathematics straightforward and logical, for others it's their worst nightmare.
The process of 'doing' maths is far more than just calculation and deduction, or arithmetic and geometry. So we encourage pupils to appreciate how maths is a diverse discipline whose data, measurements and observations can help them understand the world around them.
Key Stage 3
In 1st and 2nd Form students cover a broad range of mathematical topics.
Key Stage 4
Girls study numbers in detail, algebra, shape and space, calculus and data handling. They have the opportunity to compete in the National Maths Challenge Competition and inter-school Hans Woyda Competition (by invitation).
Sixth Form (Key Stage 5)
Pupils study mathematics and pure mathematics, extending their skills learnt at GCSE. This challenging course demands an interest in not only the beauty of mathematics, but how it affects the physical world and society in general.
Most girls study over two years, though more able students can take Mathematics GCE in one year and then Further Mathematics in the second year. These courses complement a wide range of other A-levels – particularly Science – and help balance and support Arts or Humanities options.
FURTHER MATHEMATICS
This subject is available at AS and A2 level. The course develops students' knowledge and improves the depth of their mathematical understanding through study of pure maths, statistics, mechanics and decisions mathematics. | 677.169 | 1 |
About this product
Description
Description
Discovering Mathematics presents how advanced mathematical software can aid all stages of reasoning while the mathematical content remains in foreground. The text explores the ways software can contribute to deeper understanding, widening the scope of teaching for students and teachers alike. | 677.169 | 1 |
Relations and Functions
Be sure that you have an application to open
this file type before downloading and/or purchasing.
2 MB|20 pages
Product Description
I use this unit for a lower level Pre-Calculus class. Topics are pretty straight forward and on a need-to-know basis.
I have pulled topics from Pre-Calculus concepts but designed this packet to have extra practice to move at a slower pace. An answer key/note guide is provided. The packet is split into three lessons, each with corresponding classwork and homework.
From this packet students will:
- Understand the definitions of Domain, Range, Relation, Function
- State domain and range
- Determine if a relation is a function
- Evaluate functions
- Use operations with functions (sum, difference, product, quotient, composition) | 677.169 | 1 |
This scavenger-hunt style activity is perfect as part of a review for the exponential and log functions chapter!Writing exponential growth and decay functions, finding half-life and doubling time, working with properties of logs and solving both exponential and logarithmic equations - they're all in this circuit!16 problems.Created for College Algebra | 677.169 | 1 |
Introductory Combinatorics emphasizes combinatorial ideas, including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs). Written to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. It presents an excellent treatment of Polya's Counting Theorem that doesn't assume the student is familiar with group theory. It also includes problems that offer good practice of the principles it presents. The third edition of Introductory Combinatorics has been updated to include new material on partially ordered sets, Dilworth's Theorem, partitions of integers and generating functions. In addition, the chapters on graph theory have been completely revised. A valuable book for any reader interested in learning more about combinatorics1001190
Book Description Prentice Hall. Book Condition: New. 01310011911001190
Book Description Paperback. Book Condition: New. Softcover Book, Condition: New. 4th Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 6401975801001190
Book Description Book Condition: Brand New. Book Description:Prentice Hall. Hardcover. Book Condition: New. 013100119181
Book Description Prentice Hall. Hardcover. Book Condition: New. 0131001191100119126876
Book Description Book Condition: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-130478
Book Description Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB130478 | 677.169 | 1 |
The highly-acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification, fully match the requirements of the specifications, and are reknowned for their student friendly approach. The compulsory modules Core Mathematics 1 and 2 have been published as a handy single-volume text book, giving you the flexibility... more...
We are working with Cambridge International Examinations to gain endorsement for this new, full-colour textbook matched exactly to the syllabus. - Matched exactly to the latest Cambridge O level syllabus - Includes non-calculator questions - Supports revision through a range of past paper questions more...
Providing guidance that helps students practice and troubleshoot their exam technique,these books send them into their exam with the confidence to aim for the best grades. - Enables students to avoid common misconceptions and mistakes by highlighting them throughout - Builds students' skills constructing and writing answers as they progress... more...
Ideal for studying the 2010 OCR GCSE in Mathematics A specification, this Student's Book offers comprehensive guidance and practice for tackling problem-solving questions and the functional elements of mathematics - how maths is applied in everyday life. It provides complete coverage of all units (A, B, and C) at the Higher tier, with relevant... more...
Ideal for studying the 2010 OCR GCSE in Mathematics A specification, this Student's Book offers comprehensive guidance and practice for tackling problem-solving questions and the functional elements of mathematics - how mathematics is applied in everyday life. It provides complete coverage of all units (A, B, and C) at the Foundation tier, with... more... | 677.169 | 1 |
DOWNLOAD
ebook for
Class 8 – Matrices
Online Tests
Study Material
Introduction: The knowledge of matrices is necessary in various branches of mathematics. Matrices are one of the most powerful tools in mathematics. The evolution of concept of matrices is the result of an attempt to obtain compact and simple methods of solving system of linear equations.
Matrix: A matrix is an ordered rectangular array of numbers arranged in rows and columns
Example:
Knowledge of matrices:
I. Plural of matrix is matrices. Each number or entity in matrix is called its element. In a matrix, the horizontal lines are called rows; whereas the vertical lines are called
columns.
Example:In 2, 3, 7 from a row where as 2, 5 from a column.
II. Order of a matrix: The order of a matrix
= Number of rows in it × Number of columns in it;
i.e. if a matrix has m number of rows and n number of columns, its order is written as and is read as m by n.
It has 2 rows and 3 columns; hence its order (read as 2 by 3)
While stating the order of a matrix, the number of rows is given first and then the number of columns.
III. Representation of a matrix:
Matrices, in general, are denoted by capital letters. For example, if A is a matrix with
m rows and n columns, then it is written as a similarly, means, a matrix B with 2 rows and 3 columns.
IV. Elements of a matrix: Each number or entity in a matrix is called its element. The total number of elements in a matrix is equal to the product of its number of rows and number of columns, i.e. if a matrix has 4 rows and 6 columns then the number of elements in it = 4 × 6 = 24
Since, matrix A has 2 rows and 3 columns. So, the number of elements in it
V. Types of matrices:
a) Row matrix:A matrix which has only one row is called a row matrix. Example:
This matrix has 1 row and 2 columns.
b) Column Matrix: A matrix which has only one column is called a column matrix.
Since, this matrix has 2 rows and 1 column, its order =
c) Square matrix:A matrix which has an equal number of rows and columns is called a square matrix. Example:
d) Rectangular Matrix: A matrix in which the number of rows are not equal to the number of columns is called a rectangular matrix. Example:
e) Zero or Null matrix: If each element of a matrix is zero is called as zero matrix or null matrix. It is denoted by '0'. Example:
f) Diagonal Matrix: A square matrix which has all its elements zero, except those on the leading (or) principal diagonal is called a diagonal matrix. Example:
In a square matrix the elements of first row first one, second row second one and so on are called principal diagonal elements.
g) Unit or Identity Matrix: A diagonal matrix in which each element of its leading diagonal is unity is called a unit or identity matrix. It is denoted by I. In other words, it is a square matrix in which each element of its leading diagonal is equal to 1 and all other remaining elements of the matrix are zero. Example:
VI. Transpose of a matrix: Transpose of a matrix is the matrix obtained by interchanging its rows and columns.
If A is a matrix, then its transpose is denoted by
Example:
VII. Equality of Matrices: Two matrices are said to be equal if:
(i)Both the matrices have the same order,
(ii)The corresponding elements of both the matrices are equal.
Example: Find the values of x, y, a and b, if:
Solution:
Addition of Matrices:
Compatibility for addition of matrices: Two matrices can be added together, if they are of the same order.
To add two matrices of the same order means to add the corresponding elements of both the matrices.
Example:
Solution:
Negative of a Matrix: The negative of a matrix A denoted by is the matrix formed by replacing each entry in matrix A with the additive inverse of it.
The sum of a matrix and its negative is always a zero matrix.
Subtraction of Matrices: The same rule (or) method is used for the subtraction of matrices, which is used for the addition of matrices.
Example:then find A – B.
Solution:
Example:
What do you observe?
Solution:
We observe that .
(ii)
We observe that.
1. In addition or subtraction of the matrices, the order of the resulting matrix is the same as the order of matrices added or subtracted.
2. If A, B and C are the matrices of the same order, then:
(i) i.e.addition of matrices is commutative.
(ii) i.e.addition of matrices is associative.
(iii) i.e., solving for X matrix | 677.169 | 1 |
It's been a while, but IIRC all of the probability that you need to know is explained in the material. For the calculus, I don't remember needing anything further along than mid-semester Calc 2 (but again, it has been a while).
Prior knowledge of the material would likely help you get through the material faster, but unless the material has changed greatly over the past few years I don't believe it is necessary.
I used coaching actuaries manual + adapt for P. I'm sure ASM is great as well. I didn't have calc 3 and it worked out quite well. You will have to do some simple integrals. There were some harder integrals, but for specific situations and it is explained well so it won't take long to master, assuming you get the gist of Calc 2. In terms of prior knowledge of probability, I think bayes' theorem and basic familiarity with the normal distribution is enough. If you don't have that it's all explained anyway, you just have to spend a few extra hours. | 677.169 | 1 |
Calculus: Understanding The Derivative Numerically
Be sure that you have an application to open
this file type before downloading and/or purchasing.
389 KB|7 pages
Product Description
This activity incorporates the TI84 and TI84C Graphing Calculator to study how the three difference quotients approach the same limit. Students write equations to match sets of table values as the limit of h approaches zero. | 677.169 | 1 |
Consumer mathematics curriculum outline
Students apply computational skills to real -world consumer application situations, including the purchase of goods and services, the cost of credit, the sale of goods and services, banking services, investments, personal income and taxes, budgeting, automobile ownership, commercial transportation, housing and retirement. | 677.169 | 1 |
Why learn math?
I imagine most math students have asked this question at one point or another – most likely during times of complete frustration. Math can be difficult, and it can be hard to put in the effort when there doesn't seem to be any practical use for solving quadratic equations, graphing tangent functions, or calculating derivatives.
The truth is, most people will never use these higher level math skills after finishing school. But the side benefits of learning math include a whole slew of skills that will be used every day, no matter what career you end up in. These are the skills involving how to figure things out. Problem solving skills. Logical thinking. Having the ability to break a problem down into simpler problems so that it can be solved.
These skills teach you how to think, and they train your brain to be sharp in any situation. While you're in the thick of your math class, the goal may seem to be to do your homework and pass the tests. The true goal, the big picture, and one of the reasons mathematics is a required course, is to learn how to think.
Here's an example – imagine you work in an office, and the printer stops working. People without problem solving skills may immediately pick up the phone and call an expensive repair person to come fix it. But a person who has learned problem solving skills may approach the problem with logic and determination, first analyzing the situation, locating the source of the problem, such as a paper jam, following the user manual's steps for clearing the paper jam, and resetting the machine.
If you approach your math class with these goals in mind, then you'll learn the material for understanding, because you'll be truly figuring things out and making sense of the math. If you approach your class with the goal of getting a good grade on a test, you may memorize material that will indeed lead to an A, but the material you memorized will not make it into your long-term memory and there may be very little real understanding.
Everyone runs into problems of one kind or another, both in and out of work and school. These may not necessarily be math problems, but if you develop problem solving skills by working to master the material in math classes, and by learning how to learn and how to figure things out, it will make any future problem you run into much easier to manage | 677.169 | 1 |
You are here
The Geometry of Vector Calculus
Material for this workshop developed
with support from NSF Grants DUE-0088901 and DUE-0231032.
Registration: $250.00
5/10/04 REGISTRATION IS NOW CLOSED
Geometric reasoning is the key to bridging the gap between mathematics
and the physical sciences. This workshop will introduce
participants to the art of teaching geometric reasoning, emphasizing
the teaching of multivariable calculus, and especially vector
calculus. The geometric content of (single variable) calculus,
trigonometry, and linear algebra will also be briefly addressed.
This workshop is aimed primarily at college and university teachers who
use multivariable calculus in their courses. The workshop is
suitable not only for mathematics faculty teaching multivariable
calculus, but also for faculty in related disciplines, such as
physicists teaching electromagnetism or engineers teaching
statics. While prior familiarity with the content would be
helpful, the workshop is equally appropriate for faculty who have
taught this material for years and those who are about to teach it for
the first time. Junior college faculty looking to expand their course
offerings are especially welcome.
Workshop attendees will both participate in, and then lead, open-ended
group activities intended to foster geometric reasoning, which have
been developed as part of the NSF-funded Vector Calculus Bridge project
at Oregon State University. Participants will also develop a plan for
how to implement such activities at their home institution.
Participants completing the workshop will be in a position to:
• Increase student mastery of this material;
• Improve their own understanding of the geometry of
vector calculus;
• Better communicate with colleagues in other
disciplines; and
• Increase the geometric content of related courses.
There will be sessions each day devoted to both theory (the geometry of
vector calculus) and practice (using group activities to improve
geometric reasoning skills). | 677.169 | 1 |
Exploring Abstract Algebra with Mathematica
This upper-division laboratory supplement for courses in abstract algebra consists of several Mathematica packages programmed as a foundation for group and ring theory. Additionally, the "user's guide" illustrates the functionality of the underlying code, while the lab portion of the book reflects the contents of the Mathematica-based electronic notebooks. Students interact with both the printed and electronic versions of the material in the laboratory, and can look up details and reference information in the user's guide. Exercises occur in the stream of the text of the lab, which provides a context within which to answer, and the questions are designed to be either written into the electronic notebook, or on paper. The notebooks are available in both 2.2 and 3.0 versions of Mathematica, and run across all platforms for which Mathematica exits. A very timely and unique addition to the undergraduate abstract algebra curriculum, filling a tremendous void in the literature.
Passar bra ihop
Kundrecensioner
Bloggat om Exploring Abstract Algebra with Mathematica
Innehållsförteckning
I Group Labs.- 1 Using Symmetry to Uncover a Group.- Getting started? Begin here.- A symmetry of an equilateral triangle.- Are there other symmetries?.- Multiplying the transformations.- Are there any commuters?.- Is it always bad to be closed-minded?.- We should try to find our identity.- Is it perverse to not have an inverse?.- Should we associate together?.- What else?.- Let's group it all together.- 2 Determining the Symmetry Group of a Given Figure.- Symmetries and how to find them.- Your turn.- 3 Is This a Group?.- When do we have a group?.- Your turn.- 4 Let's Get These Orders Straight.- Order of g and its inverse.- Distribution of the orders of elements in ?n.- Another look at orders.- What is P( \ g.- More questions about Un.- 5 Subversively Grouping Our Elements.- When do we have a subgroup?.- Subgroups of ?n.- P(H < G) for a random subset H ofG = ?n.- Necessary elements for full closure.- Subgroups of Un.- 6 Cycling Through the Groups.- What, when, how, and why about cyclic groups.- Cyclicity of ?m ? ?n.- Structure of intersections of subgroups of ?.- 7 Permutations.- What is a permutation?.- Computations with permutations.- Applications of permutations.- Questions about permutations.- 8 Isomorphisms.- What is an isomorphism?.- Creating Morphoids.- Seeing isomorphisms.- 9 Automorphisms.- Automorphisms on ?n.- Inner automorphisms.- 10 Direct Products.- What is a direct product?.- Order of an element in a direct product.- When is a direct product of cyclic groups cyclic?.- Isomorphisms among Un groups.- 11 Cosets.- Cosets, left and right.- Properties of cosets.- 12 Normality and Factor Groups.- Normal subgroups.- Making a new group.- Factor groups.- 13 Group Homomorphisms.- What is a group homomorphism?.- The kernel and image.- Properties that are preserved by homomorphisms.- The kernel is normal.- The First Homomorphism Theorem.- The alternating group-parity as a morphism.- 14 Rotational Groups of Regular Polyhedra.- The rotational group of the tetrahedron.- Further exercises.- II Ring Labs.- 1 Introduction to Rings and Ringoids.- Getting started? Begin here.- Ringoids and rings.- Properties of rings.- Additional exercises.- 2 Introduction to Rings, Part 2.- Units and zero divisors.- Integral domains.- Fields.- Additional exercises.- 3 An Ideal Part of Rings.- What is the ideal part of a ring?.- Ideals factor into other ring properties.- 4 What Does ?[i](a + b i) Look Like?.- Example 1.- Example 2.- 5 Ring Homomorphisms.- Morphoids on rings.- Ring homomorphisms.- The kernel and image.- The kernel is an ideal.- One-rule Morphoids.- The Chinese Remainder Theorem.- 6 Polynomial Rings.- to polynomials.- Divide and conquer.- 7 Factoring and Irreducibility.- to factoring and irreducibility.- Some techniques on testing the irreducibility of polynomials.- More polynomials for practice.- Toolbox of theorems.- Final perspective.- 8 Roots of Unity.- A closer look-graphically.- Another look-algebraically.- 9 Cyclotomic Polynomials.- Search for gn(x).- Some properties of ?x(x).- 10 Quotient Rings of Polynomials.- Polynomials over a field.- A homomorphism based on PolynomialRemainder.- Defining a quotient ring of polynomials.- The PolynomialRemainder function ? is indeed a homomorphism.- Is V a field?.- Is V what we claimed?.- 11 Quadratic Field Extensions.- The general problem.- An extension of ?3 using Mathematica.- Theorems motivated from this lab.- 12 Factoring in ?[?d].- to divisibility.- Associates, irreducibility, and norms.- Units in?[?d].- Factoring 46 in ?[?5].- Is ?[?6] a UFD?.- 13 Finite Fields.- Creation of finite fields.- Finite field theorems and illustrations.- III User's Guide.- 1 Introduction to Abstract Algebra.- Packages in AbstractAlgebra.- Basic structures used in AbstractAlgebra.- How to use a Mode.- Using Visual mode with "large" elements.- How to change the Structure.- 2 Groupolds.- Forming Groupoids.- Structure of Groupoids.- Testing the defining properties of a group.- Built-in groupoids.- U | 677.169 | 1 |
The Official SAT Question of the Day
Wednesday, February 1, 2012
Please peruse the infographic on exponential growth of facebook and explore exponential growth using the mathematica animation below and to the right(click on it)
Precalculus is currently developing an understanding of exponential functions (and their inverses, logarithms) in a variety of ways over the next few weeks. We are opening our investigation of exponentials via an exploration of inverse functions using a SpringBoard investigation called "Code Breakers." We will move from this more numerical and algebraic look at the concept of inverses to the graphs of exponential and logarithmic functions. The first homework on this topic, due February 6th, will be purely dedicated to honing the graph of exponential functions. We will progress through the exponentials using investigations and formative assessments from the work of Mathematics Assessment Project, Dan Meyer, and College Board's Springboard materials. Please find reference sheets, review packets, and presentations in the embedded folder below:
Algebra II is currently moving from linear and quadratic polynomials to higher order polynomials. This transition is being driven concretely by exploring distance, area, and volume. We will progress through the exponentials using investigations and formative assessments from the work of Mathematics Assessment Project, Dan Meyer, and College Board's Springboard materials. We will build on our work with "Forming Quadratics" and move to "Representing Polynomials" before we move on to an intriguing interpretation and application of numerous theorems (see reference sheets in the embedded folder). We will culminate with modeling of polynomial behavior. | 677.169 | 1 |
Numerical questions will be a compulsory part of the higher level Economics exam under the new syllabus for the first examinations in May 2013. Our Economics: Paper 3 Numerical Questions HL guide has been written to help you prepare for these exams, with a series of likely questions taken from parts of the higher level syllabus. These questions aim to test your ability to make calculations through the application of basic mathematical principles consistent with higher level economic data. The guide is divided into two parts; the first containing a variety of short questions in order to familiarize the reader with the type of skills and techniques necessary for the exam. The second has two complete tests with detailed answers and explanations.
Author: George Graves
Curriculum: HL
Dimension: 237 x 297
Edition: 1st Edition
Format: Print Book
Isbn 10: 1907374310
Language: English
Pages: 68 pages
Release date: December 2, 2011
Series: OSC IB Revision Guides for the International Baccalaureate Diploma | 677.169 | 1 |
Find a GlendaleReal world applications are presented within the course content and a function's approach is emphasized. This course extends the topics first seen in Algebra I and provides advanced skills in algebraic operations. Additionally, linear and quadratic functions and relations, conic sections, exponential and logarithmic functions, graphing, and sequences and series will be explored. | 677.169 | 1 |
Math
***After completion of the Singapore series, students may proceed to Pre-Algebra or Algebra 1. Consult with the curriculum director for recommendations. Some suggested curricula for advanced study include Saxon, Teaching Textbooks, Art of Problem Solving and others depending on student interest and ability.
History
The World of Columbus and His Sons by Genevieve Foster ISBN: 978-0964380387
Gamma & Delta
Light to the Nations, Volume 1 Available for checkout from RM
All students
Castle by David Macauley ISBN: 978-0395329207 One per family
Cathedral by David Macauley ISBN: 978-0395316689 One per family
Science
NO REQUIRED TEXT
Latin
Latin 1
First Form Latin Textbook
Memoria Press
978-1615380022
Latin 1
First Form Latin Workbook
Memoria Press
978-1615380039
Latin 2
Second Form Latin Textbook
Memoria Press
978-1615380237
Latin 2
Second Form Latin Workbook
Memoria Press
978-1615380251
Latin 3
Third Form Latin Textbook
Memoria Press
978-1615381456
Latin 3
Third Form Latin Workbook
Memoria Press
978-1615381173
Latin 4
Fourth Form Latin Textbook
Memoria Press
978-1615382101
Latin 4
Fourth Form Latin Workbook
Memoria Press
978-1615382118
Recommended
Regina Mater
Regina Mater is an educational community of Catholic homeschoolers. We provide classroom instruction, guidance for the homeschooling day, family celebrations of the liturgical year, and theological formation for parents. | 677.169 | 1 |
Consolidation in the past few decades has reduced the number of major textbook companies from around 30 to just a handful. Consequently, there is less competition than there used to be, and the high cost of starting up keeps new companies from entering. Most college bookstores offer used copies of textbooks at lower fola. Most bookstores will also buy used copies back from students at the end of a term if the book is going to be re-used at the school. If a student has a new textbook then he or she can cooa the pass code in the book to pitch crack on the site. If the student has purchased a used textbook then he or she must pay money directly to the publisher in order former ceo of coca cola access the website and complete assigned homework. Students who look forrmer the campus bookstore can typically find lower prices.
Copy your objective bullet points onto individual note cards. Experiment with different arrangements for the objectives by changing the order of the ceeo cards. Try ordering the objective note cards chronologically, thematically or by levels of complexity.
Reading these posts led me to consider the following question: If the only computation algorithm we teach is the standard algorithm, then can we still say we are following the standards. Provided the standards as a whole are being met, I former ceo of coca cola say that the answer to 4310 parts manual question is yes. Additional mathematics, fomrer, is required. | 677.169 | 1 |
Description: The intent of this course is to build up students' basic skills, knowledge base, and confidence in math with an eye toward
preparation for higher level math classes. The focus is on basic skills in number sense, algebraic thinking, and geometry. Working
with fractions, decimals, and percents is a major portion of the course. Problem solving is also emphasized to encourage higher order
thinking skills. | 677.169 | 1 |
Periodic Functions
Be sure that you have an application to open
this file type before downloading and/or purchasing.
116 KB|2 pages
Product Description
This presentation uses an animated Ferris Wheel to introduce the basic concept and parameters of periodic (trigonometric, sine, cosine) functions. It walks students through the ideas of period, midline and amplitude while showing them the basic shape of a sine/sinusoidal function (without introducing the formula). This is a great way to lead in to the unit circle! | 677.169 | 1 |
One of the hardest questions for many math teachers to answer in a way that is relevant to students is: "why do I need to know this?" "For the next course you take", the easiest answer in many cases, does not answer the question that was usually being asked.
My answers to this question obviously depend on the topic being studied at moment, and I don't have "good" answers for all topics… but here is my list of key quantitative life skills I learned directly or indirectly from math class, with | 677.169 | 1 |
classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well kwn for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians. | 677.169 | 1 |
Leaving Certificate Project Maths - Ordinary Level
Alison Learning Paths help you choose a combination of complementary Certificate Courses
that enable you to reach your goals.
0
stars based
on 0
votes
12-14 Hours
300 Points
Leaving Certificate Project Maths - Ordinary Level Learning Path
The Leaving Certificate is the highest level of qualification in the Irish secondary school system, good results in its examinations can secure students a place on their dream university course. An understanding of the project maths ordinary level course is appealing to universities and future employers, particularly if the student is looking to find work in a mathematics-based field. The Alison learning path in Leaving Certificate project maths to ordinary level provides an understanding of the standard expected at ordinary level. The Alison ordinary level project maths course is of interest to all students hoping to undertake the ordinary level paper of project maths, or to students who are considering taking up the subject but wish to gain a better understanding of what is expected. It is also beneficial to professionals who wish to improve their understanding of the subject, or who are considering entering a related field of work. This Alison learning path will cover important areas of the project maths ordinary level course, such as; probability, statistics, geometry, trigonometry, numbers and shapes, algebra, functions, and calculus.
Courses in this Learning Path
Strand 1 Ordinary Level Probability and Statistics
Probability and Statistics is one of two strands introduced in the first phase of the new Project Maths Course. This topic covers up to half of the new Paper 2 in the Leaving Certificate Paper in the Irish curriculum. Statistics are used in real life to make sense of the information around us and how it affects us. Statistics looks at the data handling cycle and analysis of the data collected. This involves posing a question, collecting data on that question, presenting that data, analysing the data (using measures of spread and centre) and interpreting the results. In answering questions, it is essential that you can contextualise and justify your findings. Probability is concerned with the likelihood of an event(s) happening. The information can be used to make informed decisions. The use of probability is commonly utilised in the world of finance, insurance and sport among others. Probability can also be used to infer the fairness of an event or series of events. It can be evaluated using a diagram or a rule-based approach. This Strand attempts to merge the mathematical aspects of Probability and Statistics with its real-life application. It is an interesting topic that is very accessible to all students.
Strand 2 Ordinary Level Geometry and Trigonometry
Geometry and Trigonometry is the second of two strands introduced in the first phase of the new Project Maths Course. This topic covers up to a third of the new Paper 2 in the Leaving Certificate Paper in the Irish curriculum. Synthetic Geometry and Co-ordinate Geometry are used in real life to help us understand the dimensions and transformations of shapes and figures (lines, triangles, polygons and circles). Synthetic geometry studies shapes by means of axioms and theorems.
Co-ordinate geometry studies lines and circles by reference to a fixed set of co-ordinates. Trigonometry is concerned with 'real life' measurements of length, angles and circular measure in both two and three dimensions. The use of trigonometry is commonly utilised in the areas of quantity surveying, building and construction, and architecture. This strand is without doubt the most applicable area of the Leaving Certificate mathematics syllabus and allows students gain experience of realistic solutions to real-world problems.
Strand 3 Ordinary Level Numbers and Shapes
The concepts of number and number patterns are the basic building blocks of arithmetic and algebra. Furthermore, we cannot escape the use of numbers in our everyday lives. We use clocks and watches to count through the hours and minutes of our day. We count out money to pay our bills and often take a flutter on the lottery by choosing six numbers. The application of Arithmetic and Geometric series in finance is investigated through loan repayments and investments. The use of AER (annual equivelant rate) and APR (annual percentage rate) when calculating repayments is investigated. Students are then introduced to the concept of a complex number and shown how to add, subtract, multiply and divide complex numbers. Complex numbers are used to represent the flow of current in a circuit and are also used in most areas of electronics. We use numbers to measure the perimeter and area of various shapes (triangles, rectangles, hexagons and circles) and we also use numbers to work out the volumes of solids such as cylinders, cones, spheres and hemi-spheres.
Strand 4 Ordinary Level Algebra
Algebra is the lifeblood and the natural language of Mathematics and provides a perfect link between number, geometry, trigonometry and functions. It would be impossible to formulate and solve real-world problems without algebraic notation. Students are first introduced to representing numbers with letters and then they are taught how to convert problems into algebraic equations which can be solved by means of well-known techniques. Students are taught how to solve simultaneous, quadratic and cubic equations and then extend their knowledge to the solution of inequalities. Searching for roots by trial and error and the use of synthetic division is also covered in this strand.
Strand 5 Ordinary Level Functions and Calculus
Functions was the final strand to be introduced in phase 3 of the new Project Maths Course. This topic provides an essential link between Algebra and Number and introduces the students to applications of calculus in the real world. Use of differentiation to find the slope of a tangent to a curve at a specified point is introduced. This is then extended to the study of increasing and decreasing functions. Functions and Differentiation are used in real life to help us understand rates of increase and decrease. For example, students will solve problems involving the maximum speed reached by a car and the highest point reached by a firework or rocket. Finally, the concept of numerical integration is introduced through the use of the 'Trapezoidal Rule' to find areas under specific curves. | 677.169 | 1 |
Summary
Extract of sample MST121 Open Mathematics and Computing
1(e) From the above plot, it is clear that when x increases from 0 to nearly /2 (i.e., 0 to nearly 1.57), s(x) and h(x) become equal. It is clear otherwise also, since h(x) has to balance s(x) fully, because both become horizontal when x = /2.
1(g) s(x) is a one-to-one function, since for every value of x there is a unique value for y. Therefore, an inverse function s-1 can be defined. The domain and image set of s gets interchanged for s-1. i.e., domain of s-1 is and image set is.
...
Tags
Related Essays
The above procedure would definitely challenge, motivate and actively involve the students. Establishment of physical classroom environment to support the type of teaching has also been considered and the class would be undertaken in a computer lab and use of technology has been kept in mind with utilizing software to promote understanding.…
The first abstraction, which is shared by many animals." (Abstract Representations) People made use of maths in painting, trading and other important activities in earlier days. The systematic study of maths actually began between 600 and 300 BC when Greeks took keen interest in maths. The absence of mathematics was the driving factor that made men investigate mathematics, there were several problems in areas like commerce, land measurement and other important areas that could not have been ignored and the same was a telling factor that provoked men to investigate and put an end to all the…
Teachers, who study mathematics for the foreign speaking students, should be aware of the fact, that the knowledge they try to give, must be combined with clear explanation and patience. Various strategies exist for those who have to teach mathematics to the students in combination with the language problems. Thus, it would be interesting to observe the two different strategies, which two teachers have in this relation.…
The theory of course would depend on our own definition of a computer and how a computer operates depending on its language and coding principles. Computability theory considers various models of computers but the three most popular ones are (Wikipedia, 2006):…
If we let "s" stand for the number of kth powers, then g(k) is the least such "s" powers. Some examples of g(k) are: g(1) = 1; g(2) = 4, since from Lagranges 4-square theorem, every natural number is the sum of atleast 4 squares. In addition it was found that 7 requires 4 squares and 23 requires 9 cubes.…
The biggest credit to the Homo sapiens is their invention of mathematics; this invention has revolutionized every aspect of learning. Would it be possible to the code to human gene without mathematics? Or send Neil Armstrong to the Moon? Mathematics has indeed provided clues to phenomenon hidden to human eyes for centuries.…
There was a lapse of four years in handing out capital punishment in the United States of America in 1972. The practice resumed in 1976 and is still being carried out. Considering both sides of the argument and weighing pros against cons, it is better to do away with capital punishment once and for all from the justice system of the United States of America.… | 677.169 | 1 |
Which eCore Math Should You Take?
Every student must take at least one - and in most cases two math classes. Mathematics is an essential part of a strongliberal arts curriculum which is why it's included as partof the Core. But which math class should you take? Theanswer is, well - that depends. eCore faculty have created a variety of course sequences that allow you tofulfill your mathematics requirements. Which sequence youshould take depends on your intended major, yourmathematical preparedness, and your career interests.
We begin with the most straightforward case. The physical,natural, and computational sciences include majors such as Physics, Biology, Astronomy, Chemistry, Mathematics, andComputer Science. These fields generally require Calculusand above. If you are interested in pursuing one of thesemajors, you should plan to take MATH 1113 - Precalculusfollowed by MATH 1501 - Calculus. Although it is possibleto place directly into MATH 1113, some students may need alittle refresher first. If this is the case for you, thenyou should first take MATH 1111 - College Algebra to helpyou prepare. The thing to remember is that this sequence ofclasses is preparing you to move on to more advancedmathematics - the fun just keeps on going!
On the other end of the spectrum are the Humanities whichinclude majors like Art, English, Drama, ComparativeLiterature, and History.These disciplines generally do notrequire any more mathematics than what is in the corecurriculum. The courses MATH 1101 - Mathematical Modeling,followed by MATH 1401 - Introduction to Statistics, is asequence that provides students with basic problem solvingand reasoning skills that apply more to everyday life.Inmost cases, if your major is based in the Humanities, theseare the only two math classes you will need to take.
What about those disciplines somewhere in between likePsychology, Business, Sociology, and Education? Well, nowit gets a little fuzzier. It is likely that most of thesemajors will require MATH 1401, but whether you take MATH1101 or MATH 1111 first depends on what your major requires.The best thing to do is check with an advisor to make surethat you're taking the right course.
One last note of advice.Whichever math class you enroll in, try to approach it with an open mind. Mathematics can bechallenging, but it can also be rewarding and even fun ifyou let it.
by Barry Monk, eCore Math Professor Dr. Barry Monk is Chair of the Department of Mathematics and Associate Professor of Mathematics at Middle Georgia State College, Macon Campus. | 677.169 | 1 |
MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. Hands down, no contest, this is the absolute framing inspection checklist pdf I have used: Algebra: Structure and Method, Fdaming 1. McDougal Littell, Evanston, Illinois: 2000. It does an excellent job of breaking the math down without dumbing it down.
During the Battle of Mactan, Magellan succumbed nispection framing inspection checklist pdf poison arrow. The closest galaxies are called the Magellanic Clouds, since they were discovered on the expedition. It also helped establish the International Date Line, tutorial linux kernel programming to the meticulously maintained log by Magellan. Magellan course to the east was later followed by famous navigators like Sir Francis Drake, Garcia Jofre de Loaisa, Manila Galleon and Andres de Urdaneta. The famous probe that incepted and charted details on Venus between 1990 and 1994 was named the Magellan probe, after the great explorer. Christmas Find It. | 677.169 | 1 |
We have built a range of content which follows the National Curriculum outline. In addition, you can fully customize the content to match your classroom teaching. The content outline below is not exhaustive but does give you an indication of what is available.
New Zealand
Basic Facts
Year 9 & 10
Algebra Skills
Geometric Reasoning
Number
Pythagoras and Trigonometry
Measurement
Equations and Graphs
Statistics
Shape Geometry
NCEA Level 1
1.2 Algebraic Methods
1.6 Geometric Reasoning
These standards coming soon:
1.3 Tables, Equations and Graphs
1.12 Chance and Data
NCEA Level 2
2.6 Algebra
2.7 Calculus
2.12 Probability (Coming soon)
NCEA Level 3 Externals coming soon
Register your interest for a personalised PD session over the phone with our Maths Team! | 677.169 | 1 |
Concrete Mathematics: A Foundation for Computer Science
Browse related Subjects More No Jacket as Issued. Book Complete letter line from A to J; some edge wear to boards; previous owner's name on front end paper; otherwise a solid, clean copy with no marking or underlining; collectible condition.
AcceptableCustomer Reviews
Clear and to the point
I am trying to catch up on lost ground on computer programming. For me there were some concepts in my knowledge of maths which fell into two categories. Either I did not know or had forgotten. This book has easily filled both of these gaps. The text is fun to read and takes the strain out of the concepts for mathematics. It introduces new thoughts and ways of managing the solutions of many types of mathematical problems. I highly recommend it for anyone trying to learn the concepts for the first time, or refresh their knowledge as I am doing. The book has achieved for me all that was said in the short summaries I found on the internet.
ghostrider
Aug 19, 2007
Math for Computer Science
This book should be read by everyone who's serious about computers. It will give you the necessary background to work on optimization software, cryptographic algorithms, analysis of algorithms and several other subjects that are far beyond just "writing programs". It is not an easy book, however. You have to read carefully and slowly, and you will need time to work on the exercises. But it is well worth | 677.169 | 1 |
Maple V Mathematics Programming Guide is the fully updated language and programming reference for Maple V Release 5. It presents a detailed description of Maple V Release 5 - the latest release of the powerful, interactive computer algebra system used worldwide as a tool for problem-solving in mathematics, the sciences, engineering, and education. This manual describes the use of both numeric and symbolic expressions, the data types available, and the programming language statements in Maple. It shows how the system can be extended or customized through user defined routines and gives complete descriptions of the system's user interface and 2D and 3D graphics capabilities.
.
On the morning of June 18th 1815, Napoleon Bonaparte, the master military tactician, empire builder and arch gambler faced his ultimate challenge. Across a non-descript piece of Belgian farmland we now call Waterloo stood his enemy the Duke of Wellington, the man chosen by Europe to lead the coalition armies against him and to crush him once and for all. Just four months earlier, Napoleon had been all but forgotten, living in ignominious exile on the tiny island of Elba. But now he was back, at the head of a truly elite French army. | 677.169 | 1 |
Math 21 Entire Course
Be sure that you have an application to open
this file type before downloading and/or purchasing.
16 MB
Product Description
This product is based on the new Modified Math 21 Saskatchewan curriculum and is organized by the four themes: Home, Money, Travel, and Recreation. However, seeing as it is theme-based, these units can be adapted to other secondary courses.
This course was designed with the idea of the independent learner in mind, so it can be used as a class resource, but booklets can also be provided to students for them to work through at their own pace, as lessons and practice are included. Additional activities are included for the classroom, such as web-quests, games, projects, quizzes and tests.
You will find numerous booklets, projects, assessments, lessons, and activities for each of the four themes, all of which have been tried and tested. Some answer keys are included (answer keys for most booklets are included). | 677.169 | 1 |
Mathematics can reveal and illuminate things about the complex world we live in that can't be found any other way. In this informative and entertaining book, John D. Barrow takes the most perplexing of everyday phenomena--from the odds of winning the lottery and the method of determining batting averages to the shapes of roller coasters and the reasoning behind the fairest possible divorce settlements--and explains why things work the way they do. With elementary math and accompanying illustrations, he sheds light on the mysterious corners of the world we encounter every day. Have you ever considered why you always seem to get stuck in the longest line? Why two's company but three's a crowd? Or why there are six degrees of separation instead of seven? This clever little book has all the answers to these puzzling, everyday questions of existence that need not perplex us any more.--From publisher description.
Get: Free one-year access to practice problems online: All 1,001 practice problems online -- from easy to hard Track your progress, see where you need more help, and create customized problem sets Study what, where, and when you want 1,001 Algebra II practice problems Detailed, step-by-step answers and explanations for every question 1,001 questions with step-by-step solutions This handy guide, with free access to online practice problems, gives you 1,001 opportunities to practice solving problems that you'll encounter in your Algebra II course. Starting with a review of algebra basics and ending with sequences, sets, and counting techniques, it covers everything from solving non-linear equations and inequalities to graphing lines, on to functions and systems of equations and inequalities -- plus lots more! Every practice question includes not only an answer but a step-by-step explanation. Solving problems online, you'll track your progress, see where you need more help, and create customized problem sets to get you where you need to be. Start with the basics -- powers of binomials and patterns in those powers, solving linear equations, radicals, and complex numbers Get radical -- factoring, the square root rule, the quadratic formula, completing the square, and radical numbers Put the -fun- in functions -- linear, quadratic, polynomial, rational, exponential, and logarithmic functions Solve systems -- two or more equations, algebraic techniques, and matrices used to solve systems An eye toward the future -- solve problems involving sequences, series, and sets to prepare for probability and statistics (More) practice makes perfect -- use your free one-year subscription for on-the-go access to all 1,001 practice problems online Go beyond the book. Get online and find: One year free subscription to all questions On-the-go access any way you want it -- from your computer, smartphone, or tablet Multiple-choice questions on all your math course topics Personalized reports that track your progress and help show you where you need to study the most Customizable practice sets for self-directed study Practice problems categorized as easy, medium, or hard
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
This book contains all the problems and solutions from Bay Area Mathematical Olympiads (1999-2009), The University of Melbourne BHP Billiton School Mathematics Competition (1996-2009) and Maritime Mathematics Competition (1997-2008) | 677.169 | 1 |
Exponential and Logarithmic Equations and Functions
Be sure that you have an application to open
this file type before downloading and/or purchasing.
194 KB|2 pages
Product Description
This activity worksheet contains a ton of work on the solving of both exponential and logarithmic equations. It also includes some application word problems followed by the graphing of exponential and logarithmic functions. For each function, students are asked specific questions about that function. This would also serve as a great assessment tool! | 677.169 | 1 |
In this course, we will give an introduction to some basic theory in mathematical fluid dynamics, modeled by the Euler and Navier-Stokes equations. If time allowed, we will cover some of the recent development related to the mathematical models of turbulence. | 677.169 | 1 |
2016
In the previous lesson on limits, I introduced the lesson by assigning some videos that you have to watch. Today we get to the written part of the lesson.
I am going to describe this lesson and give you the assignments that you should do.
Before I continue I have to tell you that your learning should not be limited to what your teacher gives you. There are plenty of resources that you can use to learn. You can learn from a teacher, from someone who knows a subject well and can teach it to others, from books, from electronic resources like CDs, from electronic communications like radio and televisions. More importantly today there is plenty of resources in the internet that you can use if you know how to access them. You should make yourself comfortable to all types of resources that you can use for learning. Videos are great to learn something but you can't limit yourself to this only. If you want to learn something deeply you have to get the written materials. The written materials allow you to get an overview of what you are going to learn and give you also the content. You can choose which parts to learn first or which parts to drop depending on your interests. The most important thing also is you can review the materials as much as you can. If your reading skills are good you can learn a lot from written materials but for math there isn't a lot to read. You have to do the reading and memorize certain things. You have to practice a lot.
Here is the link for the lesson but before you start read the following;
Description of the lesson
This lesson starts by a definition of limits and shows you the three methods of limits using examples. The lesson ends by giving you some problems to do. Below I give you the readings that you have to do under each sub-title and the tasks you have to do for each lesson.
Assignments 1. Objectives
You should start by reading the objectives again then read the definition of limits. The first video that you watched on the previous lesson with videos gave you verbally an idea of what a limit is. Now you are going to have a written idea of limit and three methods that allow you to calculate a limit. 2. The Idea.
You read the paragraph giving you an idea of what a limit is. You already have a video demonstration giving you the idea of a limit. Now you have a conceptual definition of a limit. You should try to state this definition either in your own words without compromising the concept or verbatim for more accuracy. Now that you have a definition of limit you are going to learn in written words how to find the limit of a function using three methods: graph, table, algebra. 3. Methods for determining limits a) The graph method
Under this title you should see a problem named "Example 1". This problem asks you to find three limits using the graph on the right. This problem is already solved for you. You are going to do two things with this problem.
Task I
Read the example and its solution. Read the explanations provided for the solution of the problem in case you don't understand it. Below is a guide to the explanations.
Explanation of the solution a)
You should be able to understand the solution easily. I provide the explanations of the solution in case you don't understand it. I give you a method to understand the solution. It's graphic. You should read and do it.
Explanation of the solution of b) and c)
The same method is used for the solution of a) and b)
Explanation of the solution of d)
You can use the same method for the solution of d) but this time notice that the function doesn't have a limit.
Task 2
Do a pencil and paper to do the example yourself without referring to the solution. After you finish verify that your answers are correct.
Task 3
Do Practice I.
b) Table method
In this method you are going to use two tables to find a limit. You start by giving x some values to the left of the given value of x and you group the values of x and f(x) in a table. You do the same thing to the right of the given value of x to have a second table. Even though I don't mention the tasks in the lesson you are going to do them in the same way you do for the previous problem.
Task I
Start by reading the problem they ask you to find the solution. Then read the solution. I didn't provided any explanation of the solution because the solution is explanatory by itself. Below is a guided explanation
Explanation
You start by giving x a value less than 0 and closer to 0. This value has to be to the left of 0. Then you calculate the value of f(x). You give to x a second value and closer to zero than the previous one You calculate the second value of f(x). You continue to give some values to x closer and closer to x and calculate the corresponding values of x. You do a table grouping all the values of x and f(x) in a table. When you look at the table you notice that f(x) gets close to 1 to the left as x gets closer and closer to 0 to the left.
Now you give x values to the right of 0 but closer to 0 and you calculate the corresponding values of f(x). You do a table grouping the values of x and f(x). When you look at the table you notice that as x gets closer and closer to to 0 to the right f(x) gets close to 1 to the right.
Since f(x) gets close to 1 as x gets closer and closer to 0 both to the left and right to 0 we conclude the limit of f(x) is 1 when x gets close to 0.
Task 2
Take a pencil and a piece of paper to do the problem by yourself.
Task 3
Do the practice problem
Algebra method
This method is very simple but it involves some calculations to do. In this method you substitute x in the function
Task 1
Read the problem first. Then write its solution. Below is a guided explanation.
Explanation
You substitute x in the function and you do the calculations to find f(x). The value of f(x) is the limit of the function | 677.169 | 1 |
Wikibooksβ
Applied Mathematics
Applied Mathematics is the branch of mathematics which deals with applications of mathematics to the real world problems, often from problems stemming from the fields of engineering or theoretical physics. It is differentiated from Pure Mathematics, which deals with more abstract problems. There is also something called Applicable Mathematics, which deals with real world problems which need the techniques and mindset usually used in Pure Mathematics. These distinctions do not really become apparent during school level mathematics. | 677.169 | 1 |
Pricing and Purchase Info
about
Calculate this: learning CALCULUS just got a whole lot easier!
Stumped trying to understand calculus? Calculus Demystified, Second Edition, will help you master this essential mathematical subject.
Written in a step-by-step format, this practical guide begins by covering the basics--number systems, coordinates, sets, and functions. You'll move on to limits, derivatives, integrals, and indeterminate forms. Transcendental functions, methods of integration, and applications of the integral are also covered. Clear examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key concepts.
It's a no-brainer! You'll get:
Applications of the derivative and the integral
Rules of integration
Coverage of improper integrals
An explanation of calculus with logarithmic and exponential functions
Details on calculation of work, averages, arc length, and surface area
Simple enough for a beginner, but challenging enough for an advanced student, Calculus Demystified, Second Edition, is one book you won't want to function without!
About The Author
Steven G. Krantz is Chairman of the Mathematics Department at Washington University in St. Louis. An award-winning teacher and author, Dr. Krantz has written more than 30 books on mathematics, including Calculus DeMYSTiFieD, and Differential Equations DeMYSTiFieD. He is the former Deputy Director at the American Institute of Mathemati... | 677.169 | 1 |
Description of Pedagogical Tool:
This is a pedagogical tool that can be used in a Grade 11 University functions class to review the basic characteristics of major parent functions and to introduce the concept of domain and range. This video is meant to be used in conjunction with the lyrics and interactive worksheet. Pauses are noted in both the video and on the lyrics sheet. | 677.169 | 1 |
Elements of the Theory of Numbers
Hardcover | January 8, 1999
Pricing and Purchase Info
$193.10 online
$231.69
Earn 966 plum® points
In stock online
Ships free on orders over $25
Not available in stores
about
Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory. * In-depth coverage of classical number theory * Thorough discussion of the theory of groups and rings* Includes application of Taylor polynomials* Contains more advanced material than other texts* Illustrates the results of a theorem with an example * Excellent presentation of the standard computational exercises* Nearly 1000 problems--many are proof-oriented, several others require the writing of computer programs to complete the computations* Clear and well-motivated presentation* Provides historical references noting distinguished number theory luminaries such as Euclid, de Fermat, Hilbert, Brun, and Lehmer, to name a few* Annotated bibliographies appear at the end of all of the chapters The Fundamentals Introduction: The Primes The Fundamental Theorem of Arithmetic and Its Consequences An Introduction to Congruences Polynomial Congruences Primitive Roots Residues Multiplicative Functions Part II Special Topics Representation Problems An Introduction to Number Fields Partitions Recurrence Relations
"I definitely appreciate the unified approach. I think it is important that the students realize that mathematics does not consist of separate entities."--Maureen Fenrick, Mankato State University"The authors communicate successfully the joy they find in number theory. Students will be excited by learning from this (text)."--Frank DeMeyer, Colorado State University"The book's biggest advantage is its thorough integration of the relevant algebra into the development. It's about time!"--Thomas McLaughlin, Texas Tech University | 677.169 | 1 |
Masters
Math Camp
Need some help with your math skills? We have a course for you!
Math Camp is an ungraded refresher course to help you brush up on your mathematics skills prior to your first semester at SPEA—this course is required for you if denoted on your admissions letter.
Incoming SPEA master's students are a diverse group on many levels, including their experience and comfort with math. Some have had little training in math, others have "math phobia," a fear of quantitative pursuits. Or maybe it's been a few years since you have taken a math class. Whether you want to increase your comfort level, advance your skills, or just help remembering how to use what you once knew, we offer two Math Camps to help incoming students regain and build their confidence.
And here is a bonus for Math Camp attendees: You get a sneak peak of life at SPEA! You will get to know your professors before the semester begins, gain experience with some of the types of issues you will tackle in your courses, meet the staff who will ease your way through the program, and get a jumpstart on learning about life in Bloomington. Most importantly, you will meet some of your classmates!
We offer two sessions of Math Camp to help you advance your mathematical knowledge:
Math Camp
If math is an uncomfortable topic or a distant memory, Math Camp is for you. We offer a safe environment in which to explore and develop basic concepts in math. We will start with simple algebra and discuss how to execute the basic operations, set up and solve simultaneous equations, find a slope, interpret graphs, and factor functions. This course is open to MPA, MSES, and MPA-MSES students, particularly those interested in the various management concentrations. However, we welcome all students who think a basic mathematics review course would be helpful prior to beginning a master's program at SPEA!
Advanced Math Camp
This advanced version of Math Camp is for students who have already taken at least one semester of calculus. It assumes an understanding of algebra and geometry, providing a quick review of these topics before moving on to more advanced topics in calculus and applications. This course is open to MPA, MSES, and MPA-MSES students, particularly students who will enroll in the more quantitative concentrations such as Policy Analysis, Energy, or Environmental Policy and Natural Resources Management.
Ask about your Math Camp admission status
Which Math Camp do I choose?
The two Math Camp programs are designed specifically to help you prepare for the quantitative skills you will need in the MPA and/or MSES programs. Whichever Math Camp you choose, it will be an intense week concentrating on practical quantitative skills. The emphasis will be on tools you can use—and having fun!
Take our self-graded evaluation. If you score well and are confident in how you answered, you may not feel the need to attend Math Camp. However, if your scores are low and you are unsure of how to solve the problems on the evaluation, Math Camp is for you.
Join our online chat
We'll have an online chat about Math Camp on June 15, 2017 from 11:30 a.m. to 1 p.m. If you can't make it, read some typical questions and answers below.
Math Camp chat
From 2016
Q. As an MPA/MSES dual student, am I required to take the advance math? I assume so, and will most likely lean that way, but just want to double check.
You have the option of taking Math Camp or Advanced Math Camp as a dual degree student. We recommend that students who are not as familiar with Calculus concepts participate in Math Camp. If you feel that you are well versed in calculus and need a review, Advanced Math Camp is for you!
Q. I have a question for the two students! Could you give an overview of any prep you did pre Math Camp? What was helpful and what wasn't helpful?
I don't think any prep prior to Math Camp is necessary. You will have enough on your plate, as you move to a new city, prepare for graduate courses, etc. Math Camp is a good way to kick start you all into school mode again, but you shouldn't have to study or practice any math concepts prior. Math Camp is a relaxed week, so don't stress about what is to come!
Q. I am not familiar with the statistics concepts that have been mention in the syllabus. Could I get study material online to prepare before I get to the Math Camp?
We will be posting a pre-Math Camp review in Canvas for those of you who want to review concepts prior to Math Camp!
Q. Is there any specific thing we are to come with for the Math Camp, other than writing material?
We will have all of the materials here for you! All you will need to bring is a writing utensil and a scientific calculator if you have one. A scientific calculator is strongly recommended.
Q. It's been about four years since I've last had a calculus class, but I have taken it. Which course, advanced or normal, would you say fits that background?
The advanced course covers calculus concepts in more detail, while the other course is mostly focused on a linear algebra review.
Q. How do we successfully complete the Math Camp? Is there going to a test at the end of the camp?
There is not a test. You will have daily homework to help through the lessons, but nothing is graded.
Q. Can you all talk a bit about how Math Camp will apply to our first semester coursework in practical terms? That is, as we are refreshed on concepts in Math Camp, how will they come into play in the first semester statistics course?
Q. How do those subjects translate to coursework? If we took calculus, but aren't necessarily prepared to do calculus problems right at this moment, should we be trying to bone up on our own so we aren't excluded from more advanced quant courses?
Having a better grip on math (calc and algebra) will help you understand concepts in any quantitative course at SPEA (statistics, econ, finances, sciences). Understanding why you use certain formulas in modeling and understanding the proofs gives you a better understanding of what those formulas and models are really explaining. Classes vary with their demand for quantitative skills, but understanding math will only help.
Q. How much time, on average, outside of the class in Math Camp should we plan on spending working on the daily assignments?
It depends. The assignments are designed to help you, but they are not graded. I spent more time on some days than others, depending on my understanding of the content. If I understood the concepts I spent less time on the assignments.
Q. So just to get an idea of what is expected, the camp is more about reviewing math concepts than it is learning new information? If that's the case I could use a brush up on calculus much more than algebra.
The information will be new for some and will be review for others. It had been so for me long that much of the review felt like new material again.
Q. What would you say is the most time you spent working on assignments and least? I'm just trying to think through how to allocate my time during that week.
If I remember correctly, I spent 1-2 hours tops on the assignments. The TA's are helpful after class, and they will be willing to help you through the assignments if you have questions.
Q. If we don't understand a particular concept taught in the Math Camp and we need a bit of attention in that particular topic, how do we go about addressing our doubts?
First, go to the office hours of the TA during the week. Also you can ask the instructor. If you are still struggling, they will point you in the direction of good resources for the particular topic you're struggling with.
Q. How soon do we need to make the decision about whether to attend the "beginner" or "advanced" version of Math Camp and how do we go about indicating that choice to SPEA?
You should've received an email with a survey to indicate your math camp preference. The deadline is July 13.
Q. Are there some resources; like materials, that could help in personal study?
Don't stress about Math Camp. It helps, and is structured to help sturdy your foundation heading into week one of class. People who go to math camp meet people and form relationships with their peers that will carry over into the next two years. It will be a fun week for you all, so don't worry too much.
Q. After you complete the basic Math Camp are you required to participate in the Advanced Math Camp?
You only take one. They are taught at the same time during the week prior to orientation.
Q. One more question—since it was mentioned that a scientific calculator is recommended, does anyone have a recommendation of a good scientific calculator app for iPhone?
I am not aware of a good scientific calculator app. I'm sure there is something, though.
Please feel free to email us at speahelp@indiana.edu with any additional questions you may have about Math Camp!
Math Camp details
Math Camp schedule and topics
Camps meets for one work week, from 8 a.m. to 1 p.m. A typical day at Math Camp starts with a tutorial session with the teaching assistants, solving problems and discussing strategies. We then move to lectures, introducing new concepts, and discussing how those concepts are used in professional pursuits. To help you connect your math studies to your courses, we will have visits from the faculty who teach those courses. After a morning of meeting as a class, you will spend your afternoon putting your new skills to practice on mathematical exercises and application problems. Teaching assistants will be available for consultation throughout the afternoon. A sample schedule can be found below.
Both Math Camp and Advance Math Camp are ungraded. By the end of the week you may be tired, but you will be surprised how much more comfortable you are with tackling quantitative problems!
Math Camp
Advanced Math Camp
Monday
Polynomials (adding, subtracting, multiplying, and dividing)
Percent change
Summation
Factoring
Solving linear and quadratic equations
Solving systems of equations
Solving inequalities
Solving equations
Solving simultaneous equations
Functions (linear, quadratic, exponential, logarithmic)
Review of trigonometry
Tuesday
Functions (linear, quadratic, polynomial)
Graphing Functions
Unit analysis
Percent change
Time value of money
Limits
Probability and statistics
Overview of mathematical software
Preview of differentials
Wednesday
Logarithmic and exponential functions
Derivatives
Rules of differentiation
Differentiation
Rules of differentiation
Applications for derivatives
Interpreting higher order derivatives
Thursday
Higher order derivatives
Application of derivatives
Integration (indefinite and definite)
Rules of integration
Riemann sums
Integration (indefinite and definite)
Rules for integrals
Applications for integrals
Numerical integration
Partial derivatives
Friday
Word Problems
Application problems
Preview of differential equations
SPEA applications for calculus
Items you'll need
On the first day, all you need to bring is a basic calculator, pencil, and paper. We will provide a course workbook.
We strongly recommend a scientific calculator for Math Camp, but a graphing calculator is not necessary.
How to maximize Math Camp
Come to class prepared and ready to learn. Read the lecture notes and pay close attention to the lectures. Then go home and reread the lecture notes and your class notes before doing the homework assignments. Work in groups on the homework and explain difficult concepts to each other. If you still have questions, see your professor or teaching assistant.
Get prepared before camp
Incoming students may have access to preparatory materials posted online to internal sites.
If it's been years since you've looked at math, check out a basic algebra book from the library to brush up before camp begins. Here are some suggestions: | 677.169 | 1 |
AQA Functional Maths 2010 – so what are Longman doing about it?
2010 is upon us and the Functional Maths qualification, along with its English and ICT cousins, will soon be going live. We're picking up a variety of noises from the teachers about this one, some excited, some nervous. Excited because Functional maths offers a genuine opportunity to engage less mathematically inclined students. Nervous because the pass rate during the Pilot was lower than expected, and because school timetables are stretched…
How are we feeling? Well, we're always nervous – launching a new series is a nail-biting business. But this time there's more to be excited about. For one thing, Functional Maths could make a real difference to students' education and life skills – our Series Editor, Will Rigby, wrote passionately about this in a guest blog recently. We think we can play a valuable role in that process. But we're also excited because putting together functional resources is fun, challenging and very, very different.
What went wrong during the Pilot?
Our first goal in designing this series was to avoid the pitfalls of the Pilot phase. Two things stand out about this period: one, not enough students were passing – secondly, the published books were inadequate. If you look at all the books from this period, they teach in a disconnected way. They don't make clear what basic maths a student might need to study or revise before tackling the functional questions. In fact, the books have almost no mathematical architecture at all. The chapter titles are all about golfing, or IT, or travel plans, or financial budgeting – all very suitable real-life topics, but no clue is given as to how the maths is being developped. So not only are students confused as to what maths skills they might need in any given chapter, teachers are confused as to how to integrate the book with their normal GCSE maths teaching.
So how are we going to get things right this time? (Hopefully…)
So the first thing we've done is to make sure the maths structure behind our student book is very, very clear. Yes, all our chapters present up-to-date, relevant contexts – so we have chapters on choosing a mobile phone package, understanding credit card interest, as well as later chapters on deforestation (volume and area) and global warming (equations). But for us, the equally important point is that each chapter is sub-titled with the maths it covers. Have a look at the sample above: Area & perimeter. And the maths is covered in a similar order to our main GCSE books, which – it goes without saying – is a sensible order for any teacher's course. So you find basic number skills at the start, measures & probability a bit later on, with geometery towards the end. Each chapter builds on the next. Teachers can see at a glance how to integrate our Functional Student Book with their GCSE course. Because one of our survey findings is that 60% of teachers plan to teach Fuctional within their GCSE course, i.e. integrated.
Functional Maths survey: how are teachers planning to deliver their Functional Maths course?
But we're aware that leaves 40% of Functional courses that will not be integrated within GCSE. We want to address them as well, not least because none of the existing books do. So we've developped "Practise the Maths" page spreads. Every one of our chapters opens with two pages of competency, which offer a recap of the basic maths and some practice. No-one is pretending this is enough to teach a complete maths course, but it is enough to let students revise their basic skills, and give them a little confidence before they embark on the functional. Have a look at our sample spread on area & perimeter, below.
All being well, the AQA Functional Maths specification should be accredited in late March of this year. First teaching will be in September 2010, and the first exam sitting in November 2010. There are likely to be four sittings per year (although still to be confirmed): January, March, June and November. Click here to get more detail.
Longman Resources
We will be publishing our Longman AQA Functional Maths series over the Summer of this year: first a Student Book, covering both Levels 1 & 2, then a Teacher Guide and finally an Active Teach. ActiveTeach shows the Student Book on-screen for front-of-class teaching on a whiteboard. It comes with a variety of video clips, interactive activities and "Examiner-Live" audio files. Click here for more detail, or click here to order a free AQA Functional Maths Evaluation Pack – this will get you a free copy of the student book and a guide to the rest of the course.
If you're reading this and you're a teacher, we hope our approach chimes with you? If it doesn't, please let us know – we won't get things right without your help | 677.169 | 1 |
Upcoming Events
Mathematics
Welcome to Mathematics at Brookswood Secondary!
Changes to the Math Curriculum and Pathways
There are several options for math courses starting at the Grade 10 level. Each pathway is designed to provide students with the mathematical understanding and critical-thinking skills that have been identified for specific post-secondary programs of study and/or direct entry into the workplace.
Apprenticeship and Workplace Math
This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into the majority of trades and for direct entry into the work force.
Foundations of Mathematics
This pathway is designed to provide students with the mathematical understanding and critical-thinking skills
identified for post-secondary studies in programs that do not require the study theoretical calculus.
Pre-Calculus (starting at Grade 11)
This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that require the study of theoretical calculus. The study of Calculus is part of post-secondary programs in field such as Science, Engineering, Mathematics and Business. Note that the Pre-Calculus math courses involve highly theoretical, abstract concepts. A high grade in Foundations of Mathematics 10 is strongly recommended to enroll in Pre-Calculus 11.
The different courses are intended to allow students to focus and specialize on mathematical topics and skills that match their abilities, interests, and future education and career plans. For more information about courses and choices, see a counsellor or math teacher. Just as Biology, Chemistry and Physics are different courses with different content, the Math courses at each grade level contain different content and concepts, rather than representing different 'levels' of the same content. As such, students may choose to select more than one math course if they desire. For example, a student might choose to take both Foundations and Pre-Calculus starting in Grade 11 to gain a broad mathematical background.
Mathematics 8 (PMA 8)
This course is designed to develop deep mathematical understanding in a variety of topics. Students will progress from the use of "hands-on" manipulatives to more abstract routines and strategies in order to comprehend and solve problems effectively and efficiently. Topics include proportion, operations with fractions, the Pythagorean Theorem, probability and statistics, and tessellations
Mathematics 9 (PMA 9)
This course is designed to consolidate and extend topics introduced in Mathematics 8. Topics include operations with rational numbers, square roots, exponents, polynomials, algebra, linear relations, geometry, and statistics. At the end of this course, students will be prepared for either Foundations and Pre-Calculus Mathematics 10.
Apprenticeship & Workplace Mathematics 10 (AWM 10)
This course is designed to provide students with the mathematical understanding and critical-thinking skills required for entry into the majority of trades and for direct entry into the work force. Topics include metric and imperial measurement systems, geometry, trigonometry, income, spending, and debt. At the end of this course, students are prepared to take Apprenticeship & Workplace Mathematics 11. Provincial exam is mandatory
Foundations & Pre-Calculus Mathematics 10 (FMP 10)
This course is designed to provide students with mathematical understanding and critical thinking skills identified for post secondary studies in both the arts and the sciences. Topics include surface area and volume of 3-D objects, trigonometry, irrational numbers, powers involving integral and rational exponents, polynomials, coordinate geometry, system of linear equations, and function notation. At the end of this course, students are prepared for Apprenticeship and Workplace Mathematics 11, Foundations of Mathematics 11, and/or PreCalculus 11. Provincial exam is mandatory
Apprenticeship & Workplace Mathematics 11 (AWM 11)
This course is strongly recommended for students who are planning on entering the workforce directly after high school, or who are planning on pursuing a career in the trades industries. Topics covered include reasoning, rates of change, measurement and statistics. This course satisfies the Ministry of Education's mathematics graduation requirements.
Foundations of Mathematics 11 (FOM 11)
This course is strongly recommended for students who are planning on pursing post-secondary studies in the Arts or Humanities. Topics include logic and reasoning, functions, geometry and statistics. Students who successfully master the learning outcomes of this course may continue on to Foundations of Mathematics 12. This course satisfies the Ministry of Education's mathematics graduation requirements. Students who are planning on pursuing post-secondary studies in math or sciences should take Pre-Calculus 11.
Pre-Calculus 11 (PREC 11)
This course is strongly recommended for students who are planning on pursuing post-secondary studies in Math, Sciences, Engineering or Business. Topics covered include relations and functions, trigonometry, polynomial functions and graphing. Students who successfully master the learning outcomes of this course may continue on to Pre-Calculus 12. The course satisfies the Ministry of Education's mathematics graduation requirements. Students who are planning on pursuing post-secondary studies in the Arts or Humanities should take Foundations of Math 11.
Foundations of Math 12 (FOM 12)
This course is strongly recommended for students who are planning on pursuing post-secondary studies in Arts or the Humanities. Topics include financial math, logical reasoning, probability, combinations, functions and research project.
Calculus 12 Advanced Placement (CALC 12AP)
Calculus 12 is an advanced, university level course offered to students who are on the Accelerated Mathematics Program and have completed PreCal 12. Topics covered include the theory of limits, differentiation, integration of areas and volumes of rotation, and practical problems involving these skills and techniques. Students who complete this course will find themselves prepared for any university level calculus course. A graphing calculator
is required (TI 83 or TI 86).
Students who successfully pass the Advanced Placement exam with a high enough score may be granted first year credit for Calculus at some of the major universities. Calculus 12 may also be taken concurrently with PreCal 12 by exceptionally capable | 677.169 | 1 |
Math Department Expectations
The following expectations have been set by the math department. Please read and make note of these guidelines for the best success in math classes at MHS.
Algebra 1, Geometry, Bridge to Algebra 2, and Algebra 2 will all weight the grades in their class to be 70% tests and 30% class work, homework, etc.
College Algebra, Pre-Cal, and Calculus decided on 90% tests and 10% class work, homework, etc. for their weighting.
Math classes will have a classroom set of calculators and each student in class will be assigned a specific numbered calculator to use. We strongly encourage parents to purchase a calculator (TI-84) for their student. This is a good investment because the calculator will be used in all four math classes the student takes in high school and there will be homework assigned that will require the calculator | 677.169 | 1 |
Discrete Mathematics, 7th Edition
Author:Richard Johnsonbaugh
ISBN 13:9780131593183
ISBN 10:131593188
Edition:7th
Publisher:Pearson
Publication Date:2007-12-29
Format:Hardcover
Pages:792
List Price:$190.20
 
 
Focused on helping readers understand and construct proofs – and, generally, expanding their mathematical maturity – this best-seller is an accessible introduction to discrete mathematics. Takes an algorithmic approach that emphasizes problem-solving techniques. Expands discussion on how to construct proofs and treatment of problem solving. Increases number of examples and exercises throughout.
Booknews
New edition of a time-tested text first published in 1984 in response to a need for a course that extended students' mathematical maturity and ability to deal with abstraction and included useful topics such as combinatorics, algorithms, and graphs. Intended for a one-or two- term introductory course, the text does not require knowledge of calculus, and there are no computer science prerequisites. Annotation c. by Book News, Inc., Portland, Or. | 677.169 | 1 |
Help find ap calculus help
Some no more than four or five sentences, others span pages, but charmers all, some offering a ap calculus help sweet surprises. Table of Contents Book of Short Stories: Your Little Friend the Fifth Grade Book Defining a Common Noun A common calcjlus is any generic uncapitalized noun.
Help find ap calculus help
We just leave the "A" and "B" values hel; same and find a new value for "D" by substituting the coordinates of the external point. Therefore, our rule for finding parallel lines will still work. We just leave the "A" and "B" values the same and ap calculus help a new value for "D" by substituting ap calculus help coordinates of the external point. This corresponds to our method for finding perpendicular lines.
Help find ap calculus help
Both wind and hydroelectric power are actually derivative forms of solar power. Wind is generated calcklus sunlight heats different portions of the earth at different rates, causing pressure imbalances that are rectified via air movement. Hydroelectric power relies on the water cycle depositing water ap calculus help the heads of our river systems.
Help find ap calculus help
But for the calcjlus part I think he does a nice job on this album. This is a very successful opener of heavy prog with even some fusiony moments. The chorus is awfully sing-songey but ap calculus help with a moderate cheese factor I still think this is one hell of a well done light-metal (pop-metal ballad. It is soaring in its feel and really succeeds with outstanding writing and delivery.
Help find ap calculus help
Its placement, in a blog, is up for grabs. Did cqlculus catch where mine is. Double-dog daringly different Blogging also requires a different voice. Furthermore, the ap calculus help used in blogging needs to be rich, sharp and distinct, to gain an audience. In a formal essay, I would never use a sentence fragment. In a blog, it provides emphasis. Nor would I use slang in an essay.
Help find ap calculus help
RN students who have demonstrated academic and clinical excellence may also complete the BSN jointly with an MSN in Nursing Case Management or Ap calculus help Nurse Leadership. Admissions: Click Here to view the states from which the College of Nursing currently accepts applications for admission. RN to BSN Track eligibility requirements: Successful completion of all lower calcilus coursework A minimum GPA of 2. | 677.169 | 1 |
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
Geometry - The Basics & Beyond
How to win friends and influence people (if friends and "people" are impressed by words like isosceles). only assumes basic english fluency and basic numerical fluency.
A notebook for taking notes is always a good idea
Many of the supplemental exercises are on the internet and will require internet access but not particular browser or software is required.
A positive mental attitude (and a full house) beats a bad attitude (and a straight) any day of the week
Description
The demand for my basics course was so high, I decided to expand it and charge a small fee for the extra time and effort for pulling these lectures and external resources together. The first expansion includes explanation and practice for about a quarter of the Common Core standards. Specifically it includes all the "Congruence" standards which encompasses the new focus on transformations as well as a lot of traditional two column proofs. Eventually I hope to make it to make it through all of the Common Core standards - either here or in other courses.
THE BASICS - The original Course:
Having taught Geometry for almost a decade, I've learned that one of the biggest challenges is simply the vocabulary. This first (and original) section is a very broad overview of Geometry and the language that it uses. If you've never heard this vocabulary, this will introduce it. If you have, this will reinforce it and put it into context.
Said another way there are a few different kinds of students who would benefit from this section:
Those who are about to take Geometry
Those who are taking Geometry and want a review or another perspective
Those who are curious as to the overall nature of Geometry but not wanting to take time for an entire course
Some of the vocabulary and concepts discussed are used in every day conversations, whereas others are specialized and not usually found in everyday conversation (I'm looking at you, hypotenuse!). Some of these terms SHOULD be familiar while others will not be. The course also includes a lot outside resources to practice as well as Udemy-style quizzes.
There's an old joke about what you remember from a college course five years after you've taken it. For Economics, it's supply and demand. For Chemistry, it's the periodic table is the organization of the elements. For English Composition, it's always start with an outline. This limited course is along those same lines: it will give you the general feeling for topics in Geometry without many of the details.
The first section could be watched in one sitting if you don't do any of the exercises. A better way to take it would be to target one day for a week to watch one video (less than 10 minutes) and then spending 20 minutes after each lecture to explore the additional material that's included.
SECTION 2 - Common Core Congruence Standards
First, a word about Common Core. IF you live in a state that has rigorous Mathematical Standards, Common Core is simply a nationalized version of a variation of what has been taught over the last 20 years. It stresses some new topics and ignores some traditional stuff, but it's simply a road map for a GIANT TOPIC. In 180 school days, only so much can be learned about any given field - these standards attempt to point out what's important and what's not: Both in general and related to what will be on State/National assessment tests.
There are 13 standards related to "Congruence" in the New Common Core and this section explains (at varying levels of depth in it's first iteration) all of them. I attacked this first because it had transformations in it and it was the one topic I knew I would have to do a fair amount of research on before I could teach it.
This section is primarily for students:
Interested in learning more about transformations and why they have become a new item of importance
Need more and different examples of two column proofs and strategies for solving these.
Who is the target audience?
This course is meant for those wanting to explore introductory concepts at a high level. This would include a student who is about to take a geometry class, is feeling behind in their geometry class, or is wanting review before an end of semester exam. This class covers most of the vocabulary and concepts related to shapes, area, perimeter, volume, and angles.
Students looking for a more in-depth course should NOT take this course. This basic review does NOT cover proof, trig, pythagorean theorem, transformations, or extensive calcuations.
Having taught Geometry for almost a decade, I've learned that one of the biggest challenges is simply the vocabulary. Some of the vocabulary is used daily, whereas others are specialized and not usually found in everyday conversation (I'm looking at you, hypotenuse!). This lectur introduces one of common intro lessons found in most Geometry books. Some of these terms SHOULD be familiar while others will not be. I'm including some outside resources to practice. If a term is confusing... Well, you're on the internet, look it up - someone else probably has a slightly different explanation that will probably fit into your existing knowledge base!
What's the perimeter of a shape that has sides that are length of 3, 6, 4, 7, and 2?
What's the area of a triangle that has a height of 3 and a base of 8?
Rambling Teacher Thoughts:
Measuring length, calculating perimeter, and calculating area are practical skills that everyone should have.
There's no substitute for practice here and I'll include a bunch of practice links for the problems above and much harder ones (like kites and trapezoids).
Go straight, then turn right: Length and Area
09:13
Area and Perimeter: Are you spreading over or walking around?
3 questions
What you'll learn:
How are radius and diameter related?
What is pi?
What's the formula for area of a circle?
Rambling Teacher Thoughts:
The circle is a magical figure. Every point along the circle is exactly the same distance from the center. All circles are similar - that is, they are all resized variations of every other circle. If you take any segment and draw an identical size circle using each endpoint as a center, the resulting intersections are endpoints for a second segment which bisects the original segment. I know that sounds likely gobbledy-gook, but it's true!
There's an external link the practices some circle vocabulary coming up later but you need to learn how to name angles first.
The Circle of Life: Cue dramatic music...
06:36
Circles!
4 questions
This link offers some practice calculating the area and perimeter of squares, rectangles, triangles, kites, trapezoids, and parallelograms. The video explains the feedback interface as well as talks about a couple of the shapes that have not yet been discussed such as kites, trapezoids, and parallelograms.
If you want even FURTHER explanation about perimeter and area as well as some unusual quizzes. See the link to some other videos I did for my classes.
Practice Time: Explanation of external link in description
06:06
What you'll learn:
Defining the undefinable: Points, lines, and planes.
The inhabitants of Flatland: Segments and three classes of triangles
Hard to spell words like Scalene, Isosceles, and Equilateral
Symbols for naming segments, lines, and rays.
Rambling Teacher Thoughts:
Points, Lines, and Planes are the undefined terms that are the building blocks of geometry.
Flatland by Edwin Abbott is a fun little novella that explores this in detail as well as sets up a really interesting analogy for talking about the fourth dimension.
Flatland: The best book you've never read
07:08
Trying to drive home a Point...
3 questions
A short motivational speech about how to raise your game to the next level.
The top 5 RESEARCH PROVEN EFFECTIVE** strategies for teaching (and thus learning) are as follows. Which ones work best for you? Which ones might you want to try more?
1) Identifying similarities and differences
2) Summarizing and Note Taking
3) Reinforcing Effort and Providing Recognition*
4) Homework and Practice
5) Nonlinguistic Representations (PICTURES!)
As a self-motivated life-long learner, you need to have some "go-to" strategies as well as might want to mix things up from time to time.
*Does this seem odd to do for yourself? Positive self-talk is one of the best things you can do - why wait for someone else to tell you that you worked hard and got better at something?
**Kudos to R. Marzano et al for their awesome book "Classroom Instruction that Works"
You're already a great student. Do you want to be better?
03:09
What you'll learn:
Cubic measure is how much space something takes up
Analogy - Perimeter:area :: Surface Area : volume
Analogy - Right Prisms:Rectangles :: Pyramids:Triangles
Metaphor: A cone is when a circle and a pyramid have a baby.
Hard Cold Fact: Circles and Spheres have formulas - memorize circle, find out if sphere is on the test
Rambling Teacher Thoughts:
This briefly talks about 3-D and Volume and then encourages you to look at these external links which have more tutorials and videos that I created.
Angles and degrees are used a lot in every day life. 45 and 90 degree angles come up all the time. They are the 1/4 and 1/2 of the angle world. Protractors are useful tools for certain situations but, not being an architect, rarely use one.
For more fun interactive practice see this protractor practice link. After watching the intro, try the "Up to 180 degrees in 10s". With this exercise, I'd suggest using the protractor a few times and then just estimating. You should be able to get most angles with only two guessesCongruence Quiz 1
3 questions
CCSS.Math.Content.HSG.CO.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the lineConstructions Quiz
3 questions
CCSS.Math.Content.HSG.CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.: More than just a bloated blockbuster
08:27
Transformations Quiz 1
3 questions 2: A bloated blockbuster
05:01
Transformations Quiz 2
2 questions
CCSS.Math.Content.HSG.CO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Map unto oneself: Sounds like Shakespeare!
10:16
Mapping Quiz
4 questions
CCSS.Math.Content.HSG.CO.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.There's nothing funny about more transformations
09:33
Transformations Quiz 3
2 questions
"Tragedy is when I cut my finger. Comedy is when you walk into an open sewer and die." - Mel BrookesUnless you fall into a sewer.
10:27
Transformations Quiz 4
3 questions
CCSS.Math.Content.HSG.CO.B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Congruence in terms of rigid motion: You can run (and turn), but not dilate
14:51
Congruence Quiz 2
7Intro to Proofs
05:36Proofs require still more vocab
03:39And finally - The Vertical Angle proof
08:33
Just a quick check-in.
Prove you understand Proofs
2Alternate Interior Angles
12:43 triangles. Theorems include: measuresDiagonals of a parallelogram
07:48
+–
Same Bat-Shape, Different Bat-Size
7 Lectures
57:15
Standard: G.SRT.1a - Verify experimentally the properties of dilations given by a center and a scale factor: a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Similar = Same Size and Shape ... and then a bunch of details
08:11 1
3 questions
G.SRT.A.1b Verify experimentally the properties of dilations given by a center and a scale factor: the dilation of a line segment is longer or shorter in the ratio given by the scale factor.
It's a fact(or), you need a scale to change size.
06:26 2 - Scale Factors
4 questions
G.SRT.2 -Zombies no like similar
07:14
G.SRT.3 - Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
The external resource attached to this lesson has some proportion practice. Only some of the questions are specifically about similar objects but all of the questions are helpful in thinking about setting up a proportion and then solving using the cross-multiplication method. Ignore the request to submit your name and student number: that's only useful for my formal classes.
Similarity Special! Buy 2 A's and get a 3rd for Free!!
09:30
Similarity Quiz 3 - Angle Angle
5 questions
G.SRT.4 - Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. (unbolded part covered briefly in previous lesson)
Teaching is something I came to a little later in life. My first love was technology and that's what my Duke degree is in. I've kept one foot in the programming world most of my life. But several years after graduating, I realized something else was calling me and strangely discovered it was the desire to teach. I went back to school and got a Masters in Education and a Teacher Certificate - and that's what I've been doing for most of my adult life.
I've worked in the public and private sector. I've worked with students of all races and socio-economic backgrounds. My primary subjects have been Math and Computer Science although I like to think I teach a lot about how to be a good student [We're all life-long learners!!]. I did a year stint in Hungary as English as a Second Language teacher and an even shorter volunteer job teaching fractions to 3rd graders using my limited Bahasa in Jakarta.
I recently returned to the programming world for a change of pace but there's that tug to teach again (and all this Math knowledge slipping away!). The courses I'm providing are an attempt to feed my teaching desire, share the knowledge I've gained, and let me explore the snowballing phenomenon of MOOCs. | 677.169 | 1 |
Mathematics
Mathematics - Key Stage 4
During year 10 the foundation skills for the GCSE qualification are taught. The depth of understanding depends on the needs of each individual pupil. GCSE mathematics is split into 6 units: number; algebra; geometry and measures; ratio, proportion and rates of change; probability and statistics all of which have an importance in mathematics.
Pupils will study mathematics for 5 lessons during a week in a classroom environment and are expected to study outside of class to ensure that they achieve the best possible grade. The course will be internally assessed by examinations taking place at the end of year 10 and this will prepare them for their final assessment sat the end of year 11: Depending on pupils ability they will either take the foundation or higher tier.
Homework for the course is given electronically and it is the pupils' responsibility to ensure that this is completed on a weekly basis. We increase the number of classes in year 11 so that focussed teaching with smaller groups can occur.
The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree. - Aristotle | 677.169 | 1 |
The author offers two examples that illustrate important central ideas in introductory linear algebra (independent or dependent vectors; invertible or singular matrices) which may aid students in developing conceptual understanding before any general theory is attempted.
A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.
Classroom Capsules would not be possible without the contribution of JSTOR.
JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules. | 677.169 | 1 |
Monthly Archives: December 2016
Algebra 1 – We've been working on solving systems of equations using the elimination method for part of the week, then the lesson was on picking the most efficient way to solve a system based on the system. It was … Continue reading →
I have 15 minutes so this will not be very thorough! Algebra CP – We are working on Systems of Equations, we just started chapter 4. It starts with the "Equal Values" method, which the students also did in 8th … Continue reading → | 677.169 | 1 |
With Pharmacy Calculations for Technicians, students learn the essential mathematics concepts and skills pharmacy technicians use on the job. Clear, complete examples and practice problems guide students in learning the skills required for calculating and preparing drug doses in both community and institutional pharmacy settings. Students are guided step-by-step through calculation methods, including ratio and proportion, dimensional analysis, and alligation. | 677.169 | 1 |
This project integrates discover-based learning with Mathematica into the calculus sequence, Differential Equations, and Advanced Mathematics for Applications courses. These courses form a four-course sequence for mathematics and science majors.
The Mathematics Department at Indiana University of Pennsylvania (IUP) established a computerized learning environment, consisting of a classroom with 31 Macintosh Centris 650s and a laboratory with 12 Macintosh LCs, all equipped with Mathematica. Mathematica's notebook feature enables science students to actively learn calculus and differential equations with guided discovery and exploration.
IUP's project has several significant attributes:
The Mathematics Department is fully implementing this curriculum in all sections of its science calculus sequence and in the two-semester differential equations sequence.
Eleven faculty, comprising approximately one third of IUP's mathematics faculty, are co-investigators.
The curricular revisions are being coordinated with the science departments at IUP, who are also integrating active learning and technology in their courses. This collaboration, based on common pedagogical goals and software, will bring more scientific applications into mathematics courses and strengthen the use of mathematics in science courses.
All students in the Mathematics Department are involved. Mathematics and Applied Mathematics majors are required to take Differential Equations, and Mathematics Education majors have a unit devoted to the project in the teacher preparation course, Computers and Calculators in Secondary Mathematics. | 677.169 | 1 |
Texas Instruments' graphing calculators already come feature packed with many mathematical and other abilities out of the box but they have many more abilities. Many people have come up with modifications and programs for these calculators, which greatly enhances the functionality of these calculators. In this article we will discuss some of these extra features for the TI-82, TI-83, TI-83+, TI-85, TI-86, TI-89, TI-92, TI-92+, many of these features may also apply to other models such as the TI-73, TI-84 and TI-84+. This article will make references to other sites that may explain some of these features in greater detail, also check out our calculator links directory to find even more calculator related sites. To find programs for these calculators there is a huge list at ticalc.org and calc.org. You could search the web for more and we have our own list here. If you would like to create your own BASIC programs, the manual that came with your TI has instructions on creating BASIC programs. If you would like to learn assembly programming on the TI, The Ultimate TI Calculator FAQ - Programming is a good place to start.
Extra Mathematical and Scientific Abilities
The graphing calculators from Texas Instruments already come with a certain list mathematical and scientific functions that they can perform, which varies from model to model. One can create more of these functions by building on the existing ones via BASIC programming, which is supported on all these calculators. There are literally thousands of these basic programs for each model, which range from displaying constants to executing formulas to more enhanced graphing abilities. BASIC programming can only go so far, since it relies on functionalities already provided by the calculator. When one wants to create new software capabilities and functions, programmers write assembly programs. These assembly programs can solve more complex problems and more efficiently (since they run much faster than BASIC programs). One of the operations an assembly program can perform (if programmed to do so) is 3D graphing.
Gaming
There are many quality games available for these calculators ranging from simple Magic 8-ball games to 3D Shoot-em games, with a TI-TI link and another calculator of the same model one can play two player network games. The sophistication of games for each calculator model depends on the calculator's hardware
Super Mario v1.0
by Void Productions
abilities such as the resolution and bit depth of the screen and the processor speed. Taking the relatively simple TI-83 for an example; it has games available with excellent graphics such as Super Mario, Lotus and Zelda. Take a quick look at Void Productions they have made a lot of good quality assembly games and they have provided a screen shot for every one of them so you can see how well these games actually look. BASIC programmed games don't usually have spectacular graphics but some are may provide a lot of amusement, the fast moving and graphical games are programmed in assembly and can provide hours of fun. Many assembly games require a shell/OS (more on this under 'Other Software Abilities') to run in (details are usually provided with each program).
Multimedia
TI calculators have multimedia capabilities although only at very low qualities. These calculators already have built-in drawing functions where in the graphing window one can draw lines, circles and dots to form small drawings with the additional ability to save them. Simple animations can also be played on these calculators with BASIC and assembly programs. Another ability of TI calculators with an IO port is the ability of playing up to 4-bit stereo audio by either plugging in headphones/speakers into the IO port (using a 2.5mm -> 3.5mm adaptor) or by holding your TI close to an AM radio while the audio file plays (the AM radio picks up the interferance that the calcultor generates). These sounds play from assembly sound players or are self-contained in an assembly program. As one can tell these multimedia features of the TI are more of a novelty than something practical, this would be because they were obviously only designed for work related purposes.
Other Software Abilities
There are many utilities and other applications available to serve other purposes such as text editors, screen savers, compression utilities and calculator management utilities. One of the most important types of programs on these calculators would be the 'shells' and 'operating systems' such as ION, Ashell and MirageOS since many other assembly programs rely on these 'shells' to be executed from. Also these shells/OSs may provide extra functionalities to the TI calculator that they are loaded onto. Password protecting utilities for TI calculators can also come in useful if you want no one else to use your TI. The password protecting utilities can usually be by passed by taking out the main batteries and the backup battery (so that the calculator looses its memory and all the programs along with it). It is possible to have permanent password protection on TI calculators with a flash ROM, if this password program is stored in the flash ROM then resetting the calculator wont remove the password. Many more useful and novelty programs exist for these calculators; just have a look around with the links provided under the 'Introduction' heading.
The end of this article has been reached and hopefully it has been of some assistance to you. As one can tell the graphing calculators made by Texas Instruments hold more power than one would initially suspect and this is shown by the many fun and useful functions that have been listed here. | 677.169 | 1 |
Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. | 677.169 | 1 |
High school math homework help
Lakeland Union High School
School Solver is a marketplace for students to get help with homework.
Math Homework Help For High School Students Welcome to Math Homework Help Pick a Tutor Now.
Math Homework Help High School Theis an online resource where one can study math for free.
Math Essentials Grade 8 Answers
Essays of warren buffett lessons for investors and managers pdf.
Math Tutor DVD provides math help online and on DVD in Basic Math, all levels of Algebra, Trig, Calculus, Probability, and Physics.
Middle School Math Homework Help
Other math resources on the website include videos of teachers.
Go Math Homework
High School Math Homework Help Websitesis an online resource where one can study math for free.Free math lessons and math homework help from basic math to algebra, geometry and beyond.Hotmath explains math textbook homework problems with step-by-step math answers for algebra,.Start up capital for bakery business. research paper plagiarism checker online.This site is designed for high school and college math students.Mathnasium of Winfield is now offering a High School Math Resource Center.
Online Algebra Help for High School Kids is designed in the form of customized lessons to suit your.A resource provided by Discovery Education to guide students and provide Mathematics Homework help to students of all grades.
High School Math Homework
Get free math help by watching free math videos online from algebra and geometry to calculus and college math.
High school geometry homework help!
Webmath is a math-help web site that generates answers to specific math questions and problems, as entered by a user, at any particular moment.On this page you will find: a complete list of all of our math worksheets, lessons, math homework, and quizzes.
Basic Algebra Questions
The Mathnasium High School Math Resource Center is specifically geared towards heightening.Math has often been called the queen of the sciences, and for good reason.
High School Math Games
Homework Paper Math Worksheets
Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more.The No Need To Study Academic Assistant who is assigned to you to help do all of your homework will be an expert in the subject track you want your homework done in.
Sample Geometry Syllabus High School
High School Math Homework Algebra
Free Math Pizzazz Worksheets
A collection of unique math lessons, games, calculators, and external links.GOD SCHOOL SOLVER HAS BEEN SUCH A HELP FOR. when I was in high school i would have.
Brightstorm math videos cover from Pre. has helped hundreds of students succeed in high school and college. | 677.169 | 1 |
Further Maths
FURTHER MATHS
Entry Guidance:
5 GCSEs at grades A* to C or equivalent. Grade A* at GCSE Higher Level Mathematics. A grade A in GCSE maths will be considered on an individual basis. The course will only run if a sufficient number of students express an interest.
Syllabus Outline:
Students opting for Further Maths will join a separate fast track group. Over the two years students will cover modules leading to the qualification of A level Maths AND AS/A level Further Mathematics.
Students taking this course have a variety of options available to them. In Year 12 the AS modules, as described in the AQA Specification, are covered at a faster pace. Students will take at least one of their modular examinations in the January session. By the end of Year 12 students will have completed the AS modules and a substantial part of the A2 modules. Students who choose to continue their studies in Year 13 will first complete the A2 modules before progressing to cover three AS Further Mathematics modules. This will involve one module in each of Pure Mathematics, Statistics and Mechanics. These modules extend the A2 topics and introduce new ones such as Complex numbers. Students will be given the opportunity to cover an additional three Further Mathematics modules at A2 level. These modules will include two additional modules of Pure Mathematics and one module of Decision Mathematics.
Methods of Assessment:
In Year 12 students will complete three or four modular examinations as described in the AQA specification. Examinations will be taken in January and June. In Year 13 students will first complete the remaining A2 Mathematics modules before progressing to complete the Further Mathematics modular examinations.
General Comments:
Further Mathematics is a challenging and enjoyable course leading to an A level in Mathematics and AS/A qualification in Further Mathematics. This is a valuable qualification to obtain and would be suitable for students wishing to study Mathematics, Science, Engineering or related courses at University. Topics will be developed using a range of strategies. Effective use of the graphical calculator forms an important part of the course | 677.169 | 1 |
Order of Operations and Expressions Lesson
Be sure that you have an application to open
this file type before downloading and/or purchasing.
4 MB|5 pages + complete solutions
Product Description
This lesson is a simple way for students to review the order of operations and simplify numeric and algebraic expressions. Students preview the lesson by watching a short video on YouTube and then come to class with some prior knowledge. This lesson includes a video link, a warm-up, notes and homework. | 677.169 | 1 |
Price History
This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text. From MathSciNet's review of the first edition: "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra."
Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on Amazon.com or its affiliates at the time of purchase will apply to the purchase of this product. | 677.169 | 1 |
0072429Basic Mathematical Skills with Geometry, 7/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic mathematical skills and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student s skills in relating to mathematics. The book is designed for a one-semester basic math course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone | 677.169 | 1 |
CH 8 Infinite Sequences and Series
Sequence
Series
The Integral Test and Estimates of Sums
The Comparison Test
Alternating Series
Absolute Convergence and The Ratio and Root Test
Power Series
Taylor and Maclaurin Series | 677.169 | 1 |
Mathematics is the development of techniques, skills and logic. Mathematicians have the opportunity to make lasting contributions to society by helping to solve problems.
Each learning programme includes:
Bridging REM (Reteach/Embed/Master)
Assess
Reteach/Embed/Master
During year 7 and 10 students are formally assessed using topic specific milestone assessments approximately twice a half term, and informally assessed using homework assignments and classwork. Students will also have a termly, cumulative test that assess all the knowledge and skills they have developed throughout their mathematical studies. Year 11 are formally assessed using topic specific milestone assessments approximately twice a half term, and informally assessed using homework assignments and classwork. Year 11 will take part in a mock examination each month to help inform planning and intervention in the run up to the exams.
At the end of year 11 students will complete 3 exams at either Foundation or Higher tier level:
Paper 1 – None Calculator 1hr 30mins
Paper 2 – Calculator 1hr 30mins
Paper 3 – Calculator 1hr 30mins
No coursework
All exams at the end of Year 11
These exams will assess pupils in the following areas:
Number
Algebra
Geometry and Measures
Statistics
Probability
Ratio, proportion and rates of change
Whatever career you are considering, a good GCSE in mathematics is essential to most employers. A GCSE in mathematics will help you analyse and evaluate situations. It will also enhance your problem solving skills. Even though a GCSE in mathematics is required for most careers, it is particularly associated with employment in the following areas: Construction, Engineering, Healthcare, Medicine, Pharmaceuticals, Teaching, Finance or Architecture.
'I enjoy maths because you realise that it relates to all situations in our lives.'
'Maths can be used to explain everything and because of that it means it will help me go into any career I want.'
'Here the class sizes are smaller than some other colleges so we benefit from more tailored tuition rather than just lessons.'
Websites that may be helpful
- password and username will be provided by your childs Maths teacher | 677.169 | 1 |
Calculus Quick Reference Calculus Quick Reference lists down all the important formulas and evaluation techniques used in calculus which makes it easier for you to memorize and apply them in solving problemsBillSplitter Avoid dealing with percentages and divisions when your brain cells are barely adding up
mPustakAdd | 677.169 | 1 |
Webmath is a math-help web site that generates answers to specific math questions and problems, as entered by a user, at any particular moment.Math Homework Help - K-12 Mathematics, College Mathematics - Online Tutoring.A resource provided by Discovery Education to guide students and provide Mathematics Homework help to students of all grades.
Math is intricate indeed and we offer math homework help to students seeking assistance with daily and weekly online homework, assignments and quizzes.StudyDaddy is the place where you can get easy online Math homework help.Solve complex mathematical problems easily with our expert mathematics homework help solutions.Be it your mathematics assignment or any other mathematics project.The best multimedia instruction on the web to help you with your homework and study.
Get help from qualified tutors for all your academic and homework related questions at Studypool.Get homework done by teachers who are experts in high school, college and university homework help.
Homework Help
Covering pre-algebra through algebra 3 with a variety of introductory and advanced lessons.Our expert math tutors provide tutoring for every subject and skill level.Math Goodies is a math portal brimming with interactive lessons, worksheets, crossword puzzles, and a homework help forum where you can post.Math.com Homework Help Great help with pre-algebra, algebra and geometry.
7th Grade Algebra Homework Help
Math Homework
Each topic listed below can have lessons, solvers that show work, an opportunity to ask a free tutor, and the list of questions already answered by the free tutors.
Provides on demand homework help and tutoring services that connect students to a professional tutor online in math, science, social studies or English.Engage New York (ENY) Homework provides additional practice for math that is learned in class.Solve your Math Problems Easily and also get Answers for your Math Homework. get your Math Homework Solutions.
Geometry Homework Help
Free math problem solver answers your algebra homework questions with step-by-step explanations.Hotmath explains math textbook homework problems with step-by-step math answers for algebra, geometry, and calculus.Find homework help, games and interactives, and step-by-step webmath help to help students learn and have fun.
Maths Homework Help Online helps to support learning through various tools.Online worksheets for grades 3 to 8 that provide help with homeworks on reading.Connect to a Tutor Now for Math help, Algebra help, English, Science.
A variety of maths games for kids to practise their maths skills at home and at school.If you think you need help with your math homework, WE ARE HERE To Help you With Any Level Of Homework Online.
Keep Calm and Happy Birthday Olivia
Cool Math has free online cool math lessons, cool math games and fun math activities. Love math.This site is designed for high school and college math students.
Get help with math homework and increase your class performance and grades.Mathematics Assignment Help from global assignment writing service provider.
Math Homework Sheets
Understand your math homework with help from your friends and the MathChat community.This school year, help your child complete his assignments and improve his study skills and grades with new strategies and methods for homework success. | 677.169 | 1 |
Related Subjects
11th Grade Math: Regents
Regents High School examinations, or simply The Regents, are exams given to students seeking high school Regents credit through the New York State Education Department, designed and administered under the authority of the Board of Regents of the University of the State of New York. Regents exams are prepared by a conference of selected New York teachers of each test's specific discipline who assemble a "test map" that highlights the skills and knowledge required from the specific discipline's learning standards.
Many 11th grade math students find regents difficult. They feel overwhelmed with regents homework, tests and projects. And it is not always easy to find regents tutor who is both good and affordable. Now finding regents help is easy. For your regents homework, regents tests, regents projects, and regents tutoring needs, TuLyn is a one-stop solution. You can master hundreds of math topics by using TuLyn.
Our regents videos replace text-based tutorials in 11th grade math books and give you better, step-by-step explanations of regents. Watch each video repeatedly until you understand how to approach regents problems and how to solve them.
Tons of video tutorials on regents make it easy for you to better understand the concept.
Tons of word problems on regents give you all the practice you need.
Tons of printable worksheets on regents let you practice what you have learned in your 11th grade math class by watching the video tutorials.
How to do better on regents: TuLyn makes regents easy for 11th grade math students.
11th Grade: Regents Word Problems
Tom drove 290 miles from his college
Tom drove 290 miles from his college to home and used 23.2 gallons of gasoline. His sister, Ann, drove 225 miles from her college to home and used 15 gallons of gasoline. Whose vehicle had better gas ...
Regents
A group of friends decides to buy a vacation home for 120,000 dollars sharing the cost equally. If they can find one more person to join them, each persons contribution will drop by 6,000 ...
regents homework help word problems for 11th grade math students.
this website is the best it really is. It is nice to see a movie and not just to study from a worksheet. And all these worksheets that you can print out and work on is the best help of all June 14, 2009, 1:27 pm
How Others Use Our Site
I hope it will teach me the fundamentals for 11th grade and 12th grade Math. In algebra, and for my regents. By helping me prepare for the regents. I am helping a student with her 11th grade math and will be using this website as a refresher. Regents review - SAT, ACT. With the regents. I need help for regents maths B. Because i am in 9th grade n im supposed 2 be in the 11th grade and i was told this could catch me up. I want to passss the regents. Help me prepare my students to pass regents exams using practice. I teach resource math 6th grade-11th grade and am always looking for sources. Regents prep. 11th grade math is hard, need examples of solved problems. As a math coach I am always trying to improve upon my own skills before implementing ideas in staff development. I also have an 11th grader who needs my help. | 677.169 | 1 |
In Pre-Calculus Part 1, students develop a deeper understanding of functions and their graphs. The function types covered in depth in this course include polynomial, rational, exponential, logarithmic, and trigonometric. Topics covered in relation to polynomial and rational functions include complex numbers, zeroes of polynomial functions, and synthetic division. Some exponential and logarithmic topics discussed are change of base formulas, properties of logs, growth and decay, and logistic growth models. Pre-Calculus Part 1 concludes with the unit circle, trigonometric functions, and their inverses.
It is recommended that students possess a solid understanding of the concepts covered in Algebra II and Geometry or equivalent course work before enrolling in this course.
Course Objectives
Unit 1: Essential Content and Skills
Sketch the graphs of equations.
Find and use the slopes of lines to write and graph linear equations in two variables.
Evaluate functions and find their domains.
Identify and graph rigid and nonrigid transformations of functions.
Find arithmetic combinations and compositions of functions.
Find inverse functions graphically and algebraically.
Write algebraic models for direct, inverse, and joint variation.
Unit 2: Essential Content and Skills
Sketch and analyze graphs of polynomial functions.
Use long division and synthetic division to divide polynomials by other polynomials.
Perform operations with complex numbers.
Determine the numbers of rational and real zeros of polynomial functions, and find the zeros.
Determine the domains of rational functions and find asymptotes of rational functions.
Sketch the graphs of rational functions.
Unit 3: Essential Content and Skills
Recognize and evaluate exponential and logarithmic functions.
Chart exponential and logarithmic functions.
Use the change-of-base formula to rewrite and evaluate logarithmic expressions.
Use properties of logarithms to evaluate, rewrite, expand, or condense logarithmic expressions. | 677.169 | 1 |
The worksheet presents some thoughts about the plane strain problem of the viscous orthotropic composite materials cylinder under internal and external pressure with respect to using the direct met... More: lessons, discussions, ratings, reviews,...
The 32 blackline master activities in this collection give students the opportunity to directly experience the dynamic, geometric nature of calculus. Activities cover the fundamental concepts in any f... More: lessons, discussions, ratings, reviews,...
The relations between stress and strain in linear viscoelastic theory are discussed from the viewpoint of application to problems of stress analysis. This consideration includes some important diff... More: lessons, discussions, ratings, reviews,...
MathPoint is a suite of math tools for students in grades 6 through 12 and college including color graphing, graphing calculator and interactive solving, and an open library for lessons and activitA very powerful graphing program that is also especially easy to use. You can graph functions in two or more dimensions using different kinds of coordinates. You can make animations and save as movies... More: lessons, discussions, ratings, reviews,...
A user may enter math problems into the program and the output is a step-by-step solution. It's used primarily for solving expressions, relations, factoring, systems of relations, and other step-by-s... More: lessons, discussions, ratings, reviews,...
Mathpad is a stand alone math text editor. For math teachers, it can be used to create math quizzes, tests, and handouts. Also you can save any math expression or text as an image for inclusion i... More: lessons, discussions, ratings, reviews,...
OneStone Math is a calculus program incorporating 2D and 3D graphics and a powerful symbolic math engine in an easy to use format. An extensive and expandable feature set provides tools for graphic... More: lessons, discussions, ratings, reviews,...
Maple IDE is a flexible development toolkit that allows you to improve your productivity when developing in Maple by enabling you to maintain code and solve application problems. Maple IDE includes a ... More: lessons, discussions, ratings, reviews,...
Cram is test preparation software to use on a mobile device. It allows you to create, import, share, and study for tests. Cram is suited for studying for job training, certifications, homework help, t... More: lessons, discussions, ratings, reviews,...
OneStone Math is a calculus program designed for students and educators. It provides solutions and gives insight to problems in single and multivariable calculus. These include derivatives and integra... More: lessons, discussions, ratings, reviews,...
With a scope that spans the mathematics curriculum from middle school to college, The Geometer's Sketchpad brings a powerful dimension to the study of mathematics. Sketchpad is a dynamic geometry cons... More: lessons, discussions, ratings, reviews,...
TI-Nspire™ and TI-Nspire™ CAS handhelds and computer software provide students the option to use any of these as a stand-alone learning tool, at school and at home, extending the learning ... More: lessons, discussions, ratings, reviews,...
Turn your iPad into a wireless whiteboard. Annotate PDF documents and images live. You can now project PDF documents (such as exported PowerPoint or Keynote decks) to a computer on the same local netw... More: lessons, discussions, ratings, reviews,...
This is an observation tool for the Standards for Mathematical Practice and Standards of Mathematical Content of the Common Core State Standards (CCSSO, 2010). CCL4s is available on both iPhone and | 677.169 | 1 |
How math education can catch up to the 21st century
Jun 5, 2017
Study International – Mary E. Pilgrim and Thomas Dick
"In math, the usual curricular pathway – or sequence of courses – starts with algebra in eighth or ninth grade. This is followed by geometry, second-year algebra and trigonometry, all the way up to calculus and differential equations in college. This pathway still serves science, technology, engineering and mathematics (STEM) majors reasonably well. However, some educators are now concerned about students who may have other career goals or interests. These students are stuck on largely the same path, but many end up terminating their mathematics studies at an earlier point along the way. In fact, students who struggle early with the traditional singular STEM pathway are more likely to fall out of the higher education pipeline entirely. Many institutions have identified college algebra courses as a key roadblock leading to students dropping out of college altogether."(more) | 677.169 | 1 |
Online Algebra Lessons
Study at their own level and pace
Time4Learning combines pre-algebra and algebra into a sequence that starts with algebra basics and proceeds through algebra 1. The online algebra program has visual and multimedia lessons followed by interactive algebra problems with conceptual explanations, printable algebra worksheets for reinforcement, and assessments to assure progress.
Time4Learning is a new approach to home education. Our online algebra course can open doors in a way that textbooks can't, by creating an interactive learning experience that brings algebra concepts to life.
The algebra lessons are perfect for students that want an interactive visual approach to learning. Time4Learning can even help students conquer math anxiety!
Each unit starts with a multimedia lesson followed by interactive exercises, supported by printable worksheets, and followed up by an online assessment with the results available to the parents. Students can progress through lessons at their own pace. Concepts (chapters) are broken down into bite-sized lessons that can be repeated as many times as necessary.
Algebra is the culmination of most elementary & middle school math programs. Typically, pre-algebra is taught to students who are strong in math in (or even 6th) 7th grade and to mainstream students in 8th or 9th grade. Algebra 1 or basic algebra follows prealgebra although sometimes, the courses are combined.
Time4Learning's integrated algebra course combines pre-algebra & algebra into one course that allows students to start the sequence at many different entry points, to progress at their own pace, and to move ahead or back up at any time.
Teaching Algebra – A Visual Approach that Works for Preparation, Reinforcement, or Remediation
The Time4Learning algebra course is sometimes used during the summer for students to review the algebra problems and concepts that they did not learn or to prepare students for algebra by giving them a first encounter with algebra problems and concepts. Many younger gifted students use Time4Learning for algebra if they wish to accelerate but want a more interactive course than using worksheets or textbooks.
Time4Learning's algebra course combines engaging lessons with a solid algebra curriculum to ensure that a sound algebra foundation is laid.
Algebra & Pre Algebra Course – More Curriculum Information
Time4Learning's algebra course combines engaging lessons with a solid scope and sequence to ensure that a sound algebra foundation is laid. Here are a few sample lessons. Inside the course, each unit starts with a multimedia lesson, is followed by interactive exercises, supported by printable worksheets, and followed up by an online assessment with the results available to the parents. Here are a few sample lessons.
Students investigate representing and simplifying algebra expressions using algebra tiles.
Simplify Algebraic Expressions
Data Management
Modeling Expressions
Registration is a short five minute process, there is a low monthly fee ($19.95/month) while you are enrolled, you can cancel at any time with no further obligation, and there is a two-week money-back guarantee if you are not fully satisfied. Register Now. Plus, while enrolled at Time4Learning, you will have access to the full Time4Learning online curriculum for homeschooling or enrichment.
Algebra Curriculum for Home Education
Section
Description
Algebra: Arithmetic with Letters
To recognize numerical and algebraic; to understand the use of variables in algebraic expressions; to understand positive and negative integers, opposites, and absolute value; to discover and use rules related to adding, subtracting, multiplying, and dividing integers; to simplify expressions with one or more variables; to read and write exponents; to use formulas with variables.
Rules of Arithmetic
To recognize the commutative property of addition and multiplication; to understand the associative property of addition and multiplication; to understand the distributive property and factoring; to recognize the properties of the numbers 0 and 1; to identify and use powers and roots of numbers; to discover and use the order of operations in making calculations.
Linear Equations with One Variable
To write and solve equations; to use formulas for perimeter and area to solve problems; to use the Pythagorean theorem to solve problems; to graph inequalities on the number line; to solve inequalities.
Applications of Algebra
To write an algebraic equation for a number sentence; to identify formulas to use in specific types of problems; to write problems using algebraic formulas; to solve problems by applying algebraic equations.
Exponents of Polynomials
To recognize and use exponents in computations; to identify the benefit of using scientific notation in some calculations; to define, name, and solve polynomials
Factoring
To completely factor integers; to find the greatest common factor of polynomials; to factor trinomials; to factor algebraic expressions; to identify zero as a factor; to use factoring as a means of solving equations.
Midterm
Midterm
Data, Statistics and Probability
To organize data into graphics; to read and interpret graphic representations; to determine range and measures of central tendency; to compute probabilities and complementary events involving statistics.
Fractions and Algebra
Fractions and Algebra
Linear Equations and Inequalities in the Coordinate Plane
Linear Equations and Inequalities in the Coordinate Plane
Systems of Linear Equations
Systems of Linear Equations
Irrational Numbers and Radical Expressions
Irrational Numbers and Radical Expressions
Geometry
Geometry
Final Mastery Test
Final Mastery Test
Quadratic Equations
Quadratic Equations
If your child isn't quite ready for algebra, one of our other math courses can be selected instead.
When you sign up for Time4Learning, you can help us place your child at the appropriate math level. Once placed, you have access to the grade level materials for the year ahead so in areas where the student is ready for even more challenge, you can click ahead. This is important for many children, who progress with skills development unevenly in different subjects. It's not unusual for a 7th grader to be stronger in language arts than in math, for instance. With Time4Learning, your child can pick and choose those lessons that are most meaningful to him or her (and to you!). If a parent wants to change a grade level up or down permanently, we can shift the student easily.
Sign Up now with our satisfaction guarantee.If you are not totally pleased, cancel within the first 14-days and get 100% of your payment refunded. | 677.169 | 1 |
In mathematics, Matrix are array of numbers, symbols or expressions arranged in rows and columns. It can be square or rectangle in shape. Matrices are applied in the fields of scientific research, classical mechanics, optics, electromagnetism, quantum mechanics, quantum electrodynamics, computer graphics etc., Here are various calculators that could help you solve your maths matrix problems easier.
Matrix have long history in the application of solving linear equations. Matrices are referred to as only arrays till 1800's. Arrays are termed to be Matrix by James Joseph Sylvester in 1850. Make use of these calculators for mathematical matrices problems. | 677.169 | 1 |
Now you just need to give it a vector representing the function Cos [6x2+3y2] on the grid. Technical drawing is those you see in wire frame cars, architecture blue-prints, mechanical devices designs, etc. I only make use of it in the testing routines. Eigenvalues and eigenvectors: Characteristic polynomial, spectrum, diagonalization, spectral theory of normal, self-adjoint, and unitary operators, simultaneous diagonalization and commutativity, positive definite matrices and polar decomposition.
This rule for linear equations in 3 unknowns is a method of solving by determinants the following equations for x, y, z Solving a set of linear equations is easy in Matlab. Students who cannot understand linear algebra are often further demoted to calculus with emphasis on imaginary numbers since they can simply use their imagination instead of their analytic capabilities. The function .unsafe_col() is provided for speed reasons and should be used only if you know what you are doing.
You will be presented with a variety of links for pdf files associated with the page you are on. Howard (2005). [10] Axler (2204).1 Definitions and basic properties of inner product spaces and Hilbert spaces" (http:/ / books. 2005). Sometimes both meanings exist for the same qualifier, as in the sentence: Commutative algebra is the study of commutative rings, which are commutative algebras over the integers. For example in the picture to the right we have defined three coordinate systems.
Hall and Zhongshan Li Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs Shaun M. KEYWORDS: Tutorials, Worksheets, Calculators, Algebra Basics, Basic Word Problems, Proportion Basics, Simplifying Equations/Expressions, Simplifying Multiple Signs, Combining Like Terms, Using the FOIL Method, Simplifying Exponents, Simplifying Using the Order of Operations, Substitution, Factoring, Greatest Common Factor(GCF), Difference Between Two Squares ADD. No pair is linearly dependent (just graph them and think about the angles involved); but the third vector is the sum of the first two.
In this course we shall broaden our outlook by dealing with systems in which we have m = n. Other examples of sets include the set of all two-by-two matrices, the set of all second-degree polynomials (ax2 + bx + c), the set of all two dimensional vectors in the plane, and the various finite groups such as the cyclic groups, which are the groups of integers modulo n. This "guided" Feynman can be useful when trying to write anything on your own would be impossible.
Any m by n matrix X can be factored into X = U*S*V', where U is an m by m orthogonal matrix, S is an m by n diagonal matrix, and V is an n by n orthogonal matrix. The strength of linear algebra lies on the properties of each operation. Chapter Goals 2016-2017 (click on link to see notes). If we assume that each time point in chart n with a price Pn has its own parameter Rn such that Rn * Pn + Rn-1 * Pn-1 + … + R1 * P1 + R0 * P0 = Current Price, we can assemble a system of the linear equations to find all the Rn and use them to extrapolate the future prices by knowing the previous prices.
Following Cayley, we are going to describe an arithmetic where the role of numbers is played by matrices. with a not equal 0 we just divide b by a and get x. Theorem 28.1: When a row operation is performed on an augmented matrix, the set of solutions to the corresponding matrix equation is unchanged. If you know how to work it out in general, then when you have a specific problem that you are solving where the variables take on meaning like time or money (two things we don't ever seem to have enough of) you will be ready to go.
You can only upload files of type PNG, JPG, or JPEG. What is the kernel space or null space of a system of equations (under what conditions can a non-trivial solution to the system be zero?) Linear algebra is also immensely valuable when continuing into more advanced math topics, as you reuse many of the basic principals, such as subspaces, basis, eigenvalues and not to mention a greatly increased ability to understand a system of equations.
It's a matter of emphasis, really. – Qiaochu Yuan Jan 13 '10 at 17:20 The other difference I've seen is that matrix theory usually concentrates on the theory of real complex matrices. A ring has two binary operations (+) and (×), with × distributive over +. To acknowledge that grooming gangs and FGM and tendencies towards homophobia and gender oppression have arisen. Each ton of 2-minute developer requires 6 minutes in plant A and 24 minutes in plant B. 24 units of fat. and 21 units of carbohydrate. 6-minute. | 677.169 | 1 |
ISBN: 9780199137046 Format: Paperback Number Of Pages: 320 Published: 1 December 2012 Country of Publication: GB Dimensions (cm): 25.4 x 19.5 x 1.4 Description: Written by experienced examiners to comprehensively cover the revised Cambridge Secondary 1 curriculum, this course will thoroughly prepare your students to excel in the Checkpoint test and offers rigorous challenge that will give students a flying start in the Cambridge IGCSE. With a methodical and logical approach that matches the new framework, carefully developed exercises will really stretch students while the sheer volume of practice will reinforce understanding. Complete Mathematics is the new name for Oxford International Maths | 677.169 | 1 |
0750303298 Polynomials to Sums of Squares
From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme of factorization. The book begins by providing basic knowledge of rational polynomials, then gradually introduces other integral domains, and eventually arrives at sums of squares of integers. The text is complemented with illustrations that feature specific examples. Other than familiarity with complex numbers and some elementary number theory, very little mathematical prerequisites are needed. The accompanying disk enables readers to explore the subject further by removing the tedium of doing calculations by hand. Throughout the text there are practical activities involving the computer | 677.169 | 1 |
Review
Background from OER Project Review Team
The textbook materials from the Utah Middle School Math Project were created in response to the Math Materials Access Improvement solicitation issued by the Utah State Office of Education in June of 2012. The materials are a collaborative work with contributors from University of Utah, Utah State University, Snow College, and Weber State College; Jordan, Granite, Davis and Salt Lake City School districts; and many teachers throughout Utah.
Amount of work required to bring into CCSS alignment (average score): Minor (2.0)
Strengths/Ideal Use:
This curriculum is very well developed and you can tell that they had the common core in mind when writing it. There is a very clear progression of ideas throughout the curriculum from chapter to chapter. Great mix of types of problems that get more complex and use a variety of skills. Material is easily accessed.
If assessments were created for the curriculum, this curriculum could be used by any level of teacher who can write their own lesson plan.
Challenges:
The only assessments are self-assessments in the student workbook.
There are no concessions for ELL or differentiation listed in the curriculum.
Suggestions:
Develop formal assessments that go with the curriculum and make them available to teachers.
Add supports for ELL and differentiation.
Strengths/Ideal Use:
Teacher materials are great with explanation! They state exactly what students should learn in regards to the topic and why students need to master something for the next grade level. Answer keys to the practice are detailed.
This resource would be good for a beginning teacher learning student deficiencies. The experienced teacher could also use the materials to assist in the learning process.
Challenges:
The only assessment is self-assessment.
Materials based on average student and do not include anything for low or high preforming achievers.
Suggestions:
Include multiple opportunities to assess student learning.
Include more for lower achieving and higher achieving students.
Strengths/Ideal Use:
This would be a good resource for a class of students that did not have a varying degree of abilities. There is quite a bit of support for teachers in terms of explanations and suggestions for instruction, so even an inexperienced teacher would find the lessons fairly straight forward.
Challenges:
There were no summative assessments.
There was little if any material to offer support to ELL or below grade level students. Also little opportunity for the more advanced student to learn at a deeper level.
Suggestions:
addition of mid-unit and end-of-unit assessments.
addition of materials to support a more broad range of learners.
Strengths/Ideal Use:
Student materials are presented with a variety of models and representations. Overall, very well organized and written. | 677.169 | 1 |
Post navigation
Algebra 1 Assignment for 3/2
I will be editing a number of the notes pages for this chapter, instructing you to remove the existing pages from your binder and insert my revised versions. I will be posting the revised versions here, along with my completed notes for you to refer to if you are absent. I will continue to post links to lesson videos as well, but please be aware that these videos will still refer to the content of the book's notes (not my revised version). In most cases, my revisions will be minimal and will still include major sections of the original notes, so the videos should still be useful to you.
Also, because this unit is so skills-heavy, most of the homework from the unit will be using IXL's online practice modules. Most days, I'll be asking you to work on 2-3 modules up to a score of around an 80, though sometimes I'll ask you to go a little higher than that (but if I don't, extra credit is available for those who go above and beyond the minimum requirements!) Don't forget to log in when you're working on these modules, or else your results will not be saved!
Today, we started with Unit 7, Lesson 1 – Polynomial Vocabulary (revised). Your homework, linked below, is to work on modules Y.1, Z.1, and Z.4 up to a score of 90 for each. | 677.169 | 1 |
ISBN 13: 9781404526587
Problem Driven Math
Problem solving and reasoning must be a major focus of the mathematics curriculum in every grade. The problems in this book have been carefully selected to provide students an opportunity to gain proficiency in using problem-solving strategies. At the same time, each problem contains significant mathematics appropriate to the grade-level curriculum.
Book Description McGraw Hill. Paperback. Book Condition: Good. Clean pages and tight binding. Cover shows some wear. Open Books is a nonprofit social venture that provides literacy experiences for thousands of readers each year through inspiring programs and creative capitalization of books. Bookseller Inventory # mon0000165101
Book Description McGraw Hill649573 | 677.169 | 1 |
Mathematics and Statistics
The Department offers a wide variety of mathematics and statistics courses, ranging from the developmental and remedial level to the first two years of college or university. The courses support the development of basic skills mathematics, as well as support a variety of certificate programs and associate's degrees. The courses also prepare students to transfer to a college or university to major in mathematics, engineering, the physical or life sciences, business, liberal studies, and a host of other majors.
What's Happening in the Mathematics and Statistics Department
Sacramento Valley Community College Mathematics (SVCCM) 2017 Conference: Yuba College is hosting this year's SVCCM conference on Saturday February 25. We have a great lineup of speakers for the day. Please see the flyer for details.
Student Mathematics League (SML) Competition (AKA the AMATYC test): There is a workshop scheduled for Friday, February 24, 2017 at 1:00-2:00 pm in Room 849. Visit the SML web page for more information.
2017 History of Mathematics Writing Contest: Submission will be due in the Fall. See last years flyer to get an idea of what the contest consists.
Mathematics and Statistics Awareness Month Film Festival: There will be four films shown in April. All movies start at 11:54 a.m. in room M-803. Please see the flyer for details. Also visit for more details about Mathematics and Statistics Awareness Month.
April 6
The Story of 1
April 11
Careers in Mathematics
April 20
Newton's Dark Secrets
April 25
The Great Math Mystery
2017 Math Poetry Contest: Submission due by Tuesday, April 4th. See the flyerfor details. | 677.169 | 1 |
Academic articles
How To Complete Calculus Homework Assignments In Middle School
Algebra, geometry, and calculus belong to same family, The Math's Family. Just like geometry and algebra, calculus also deals with the study of change. It is considered boring for majority of the students. On the other hand, if you understand the concept and learn the method of solving the equations, then it would become interesting for you.
Lack of interest
Students most of the time complaints that they do not completely understand the concept throughout the semester and when it is about to end they are looking for help in the curve topics like Parametric curves, intersection of curves and curve families. They rarely attend the lectures and see books. This way, they become overloaded with their work.
If you take interest and listen to the teacher carefully, then it would certainly become easier for you to understand polar and parametric
Practice practice and practice
Calculus requires a lot of practice. Without practice and computation, one can never excel in polar coordinates and limits integration. Another easier way of practicing is to copy the already solved equation. After copying, the sums twice or thrice, it would become easier for you to complete your homework assignments in no time.
Think for the solution
Students do not bother to think for the solution or observing the problem seriously. They find it easier to buy the solution rather than wasting time in thinking for the solution. One should spend time in critical thinking and understanding the sum. When you understand the sum, it becomes easier to solve it.
Attend online classes
When you find it difficult to do your calculus homework assignment alone, then you should get online help as attending optional classes will surely help you. Download online answer checker and match your answers.
Avoid re-phrasing the solution
Practice Or another thing what students do, is rephrasing. Dull students lack interest and they keep on repeating the steps and re-phrasing the problems. With a little guidance, one can easily learn how to solve calculus problems.
Participate in the class
Enhance your thinking abilities. Presenting on board and to the class will let you figure out your week points and you could work on them.
Ask for guidance in homework
Solve one problem from the homework in front of your teacher and see where you go wrong. | 677.169 | 1 |
How to Read and Do Proofs An Introduction to Mathematical Thought Processes
ISBN-10: 0471680583
ISBN-13: 9780471680581 easy-to-use guide that shows how to read, understand, and do proofs. Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real | 677.169 | 1 |
Access
To give students a better idea of what the subject covers, the authors first discuss several examples of typical combinatorial problems. They also provide basic information on sets, proof techniques, enumeration, and graph theory? Póly
Ideal for undergraduate students in mathematics taking an introductory course in combinatorics, this text explores the different ways of arranging objects and selecting objects from a set. It clearly explains how to solve the various problems that arise in this branch of mathematics.
J.C. George is an assistant professor of mathematics in the Division of Mathematics and Natural Sciences at Gordon College in Barnesville, Georgia. His research interests include one-factorizations, graph products, and the relationships of algebraic structures to combinatorial objects.
Book Description Hardcover. Book Condition: New. HARDCOVER Book, Condition: New. 1st Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 397 403247
Book Description Hardcover. Book Condition: New. New HARDCOVER International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Bookseller Inventory # 26473The | 677.169 | 1 |
Spectrum Algebra, Grades 6-8Spectrum Algebra helps students from sixth through eighth grade improve and strengthen their math skills in areas such as factors and fractions; equations and inequalities; functions and graphing; rational numbers; and proportion, percent, and intere... | 677.169 | 1 |
9780130800060
0130800066114.00
Marketplace
$0.67
More Prices
Summary
The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Trigonometric Functions; Exponential and Logarithmic Functions; Analytic Geometry; Analytic Trigonometry; Counting and Probability; and more. For individuals with an interest in learning algebra and trigonometry as it applies to their everyday lives. | 677.169 | 1 |
Rational Functions Introductory Lesson
It can be tricky to make students more active in some of the more abstract and "mathy" topics in our curricula. Many teachers default to lecture in those situations. Carefully structuring a lesson so that students are given an opportunity to explore, converse, discover patterns, and invent rules can be a great way to activate students as owners of their learning. | 677.169 | 1 |
Wedenotematriceswithcaps a 1 5 7 2 4 14 8 9 1 2 4 7 5
This is the end of the preview. Sign up
to
access the rest of the document.
Unformatted text preview: *bi • The length of a vector is given by the square
root of the inner product of the vector by self l= ∑a a *
ii i Matrices
• Like vectors, set of ordered numbers, now
with two indices (first for rows, second for
columns). We denote matrices with CAPS.
⎛
⎜
A=⎜
⎜
⎜
⎝ 1 5 7 2⎞
4 14 8 9 ⎟
⎟
1 2 4 7⎟
5 25 3 3 ⎟
⎠ A23 = 8 • Matrix mul2plica2on is defined as (the
number of columns of A must be the same as
the number of rows in B). The result is a
matrix Cij = ∑ Aik Bkj
k Adding matrices (example)
• A=A+B
⎛3 6⎞
A=⎜
⎝2 1⎟...
View
Full
Document
This document was uploaded on 03/04/2014 for the course CH 354L at University of Texas. | 677.169 | 1 |
2 days. Hands-on simulation activity. Used to introduce solving linear systems of 2 equations in two unknowns, with follow-up involving 3 equations and 3 unknowns. This unit studies interconversion of two drugs in the blood, that is, the case where the body metabolizes each of two drugs into the other, which is what happens for vitamin K and another chemical. This requires one day, with homework given. On the following day, you discuss solving systems of equations and can use a second set of homework that comes with this unit. The second set of homework studies drugs which are absorbed into different compartments of the body, such as vitamin A which is in the blood and in the liver. Intermediate algebra or precalculus. | 677.169 | 1 |
Synopsis
Assuming no further prerequisites than a first undergraduate course in real analysis, this concise introduction covers general elementary theory related to orthogonal polynomials. It includes necessary background material of the type not usually found in the standard mathematics curriculum. Suitable for advanced undergraduate and graduate courses, it is also appropriate for independent study. Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. Numerous examples and exercises, an extensive bibliography, and a table of recurrence formulas supplement the text.
Buy the eBook
Your price $19.95
You'll see how many points you'll earn before checking out. We'll award them after completing your purchase. | 677.169 | 1 |
Overview:
Algebra 1 is an entry level Algebra class that introduces Algebriac concepts to students at a pace that is managable as well as understandable. Students will be asked to work in both groups and individually to solve problems using Algebriac expressions and equations | 677.169 | 1 |
Edexcel International GCSE (9-1) Mathematics Practice Book
Synopsis
Endorsed for Edexcel. Provide structured support and extra practice with a wealth of problem-solving and exam-style questions, in this fully updated edition written by an author team experienced in teaching and examining. - Enables students to maximise their grade potential and develop their exam skills with 700 exam-style questions. - Supports you and your students through the new specifications with over 100 additional questions addressing every part of the new syllabus such as the increase in Algebra. - Helps build problem-solving and mathematical reasoning skills with a dedicated chapter covering all topics and subject areas, with new questions to challenge the most able students. - Offers support for Higher tier students during their course and when revising for exams. | 677.169 | 1 |
Paperback
Click on the Google Preview image above to read some pages of this book!
Maths Quest 10+10A Maths Quest 10+10A for the Australian Curriculum provides students with essential mathematical skills and knowledge through the content strands of Number and Algebra, Measurement and Geometry, and Statistics and Probability. The Curriculum focuses on students becoming proficient in mathematical understanding, fluency, reasoning and problem solving. | 677.169 | 1 |
Search This Blog
Important
Permission must be obtained to reuse any content from this blog including posts, documents, presentations, and recordings.
Saturday, August 1, 2015
Do we still need beginning algebra?
After teaching a math literacy (MLCS) course for four years while still teaching traditional beginning algebra courses, I've begun to really question the role of a traditional beginning algebra course for developmental students at the college level. Currently, my college uses the following approach to incorporate our math literacy course:
The advantage to this approach is that it's not too radical. Students and instructors alike can stay with what they know or they have the option to do something different. It invites changes rather than forces it. And for that reason, it's been a very good way to go for us. Our school undertook a massive redesign in 2009 which we mandated. Adding more change with a new course while taking away courses instructors have now become comfortable with would not have gone over well. Anyone who has worked with redesign knows that redesign doesn't happen in a vacuum; it happens because of people who work and support it. So buy-in matters tremendously.
The disadvantage is that this approach maintains the status quo, which is a traditional path that I'm not convinced works anymore, if it ever did. It's easy to think, "I took algebra and I'm a math teacher so it obviously worked." But that's not actually true in the majority of cases. If you're a math professor like me, you probably took algebra in junior high and high school. I've never taken developmental algebra at the college level as an adult. And that difference is massive. I didn't take the course after years of frustration with math classes and possibly a full time job and family. I honestly didn't care that the "two trains" and "coins in the pocket" problems were wholly unrealistic. They were formulaic and therefore often not that challenging. I saw those problems as "types" and learned the algorithm to get through them.
An adult student, whether they are 18 years old or much older, is seeing this content at a pace that's twice as fast than the first time they saw it years prior in high school. And with the adult mindset they have that almost always includes the perspective from the workplace, they question why anyone cares about coins or a myriad other topics we teach. As they start to question the point of the content along with the frustration they have learning the content, they lose motivation quickly. And if it's a bad enough experience, they stop taking math and sometimes stop going to college altogether.
A depressing reality too many of us see all too often.
Although my goal for my beginning algebra students is to gain basic algebraic knowledge AND the ability to use that knowledge, that doesn't often happen. Students who pass the tests are able to do exactly that: pass tests. They know the "how's" but the "when" and "why" are lacking. The reason for that is the curriculum and approaches we use. We focus on teaching a litany of skills, testing on them, and then lather/rinse/repeat. Students don't see the content as connected and therefore are usually not able to transfer what they learn to a different context or problem.
In the last year or two, I've seen some schools going to this flowchart instead:
Because the math literacy course we teach is chock full of algebra, students get enough algebra with this approach. They can transition to intermediate algebra and continue to gain more algebraic skills. But what they have that is different than the student coming from a beginning algebra class is the ability to think critically, solve problems (not just exercises) that may be closed or open, and apply their knowledge to other areas. In other words, they learn how to learn and how to use everything they learn.
Having all developmental math students who place at the beginning algebra level start with MLCS instead of beginning algebra provides a solid base for students in terms of content and what we expect college students to do with content, that is, use it. Yes, they'll get lots of beginning algebra skills, but it's what they can do with those skills that matters. Do my beginning algebra students see more skills than MLCS students do? Yes. But how many of the skills do they actually retain and understand well enough to use in the next course? I would wager it's far fewer than an MLCS student.
But there's one more reason I see this new flowchart as the better way to go: motivation. Students starting college at the beginning algebra level are often depressed by the courses they have to repeat and how far they have to go before getting college credit. Starting in MLCS shows them something different that is not high school, v2. They see relevant content and different content. Anything familiar is still done differently. And upon successful completion of the course, they're eligible for a credit bearing course, something most beginning algebra students in the U.S. are not.
Radical approach? Yes. But ultimately, it can and does work. Isn't that the point of developmental education, to be effective? | 677.169 | 1 |
Algebraic Topology
An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.
Booknews
Hatcher (mathematics, Cornell U.) presents an introduction to algebraic topology that retains the classical feel of the field from three or four decades ago, but clarifies some of the most important results and techniques that have arisen in the intervening years. The emphasis leans towards the geometric, rather than algebraic, aspects of the subject. After presenting some of the basic geometric concepts and constructions of the subject, Hatcher separates his treatment into the two broad topics of homology and homotopy. He assumes the reader has familiarity with the content of standard courses in algebra and point-set topology. Annotation c. Book News, Inc., Portland, OR (booknews.com) | 677.169 | 1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.