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M. J. Roberts - 1/3/11
Complex Numbers and
Complex Functions
Web Appendix N -
N.1 Basic Properties of Complex Numbers
In the history of mathematics there is a progressive broadening of the concept of
numbers. The first numbers were the natural counting nu
Description of Systems
1
Systems
Broadly speaking, a system is anything that
responds when stimulated or excited
The systems most commonly analyzed by
engineers are artificial systems designed and
built by humans
Engineering system analysis is the
appl
2016, Mr Julio Romero, University of Canberra
Lecture 9
- Slide 1
The Theory of Fourier Series
Linearity and Time Invariance (cont.)
Consider, for example, a system described by:
For this
system,
letfollowing
a signal x1[n]
output y1[n], and another input
Mathematical Description of
Continuous-Time Signals
Typical Continuous-Time Signals
2
Continuous vs Continuous-Time
Signals
All continuous signals that are functions of time are
continuous-time but not all continuous-time signals are
continuous
3
Continuo
2016, Mr Julio Romero, University of Canberra
Lecture 6
- Slide 1
The Zero-State Response
The zero-state response y[n] is the system response to an input x[n] when
the system is in the zero state. In this lecture we will assume that systems are
in the zer
Discrete-Time Signal
Description
University of Canberra
Signals and Systems. Semester 2, 2016
1
Sampling and Discrete Time
Sampling is the acquisition of the values of a continuous-time signal
()
at discrete points in time. x t is a continuous-time signal
Introduction to Signals and
Systems
University of Canberra
Semester 2, 2016
Signals and Systems Defined
A signal is any physical phenomenon which
conveys information
Systems respond to signals and produce new
signals
Excitation signals are applied at s
University of Canberra
Faculty of Business Government and Law
Semester 1, 2016
Database Design 5915 and Database Design G 6672
Tutorial exercises for week 2
1. In this tutorial your tutor will introduce himself/herself as well as his/her contact
details.
2016, Mr Julio Romero, University of Canberra
Lecture 2
- Slide 1
Signals and Systems
During this lecture we will discuss certain basic aspects of
signals and will introduce important concepts and
qualitative explanations of the hows and whys of systems
Mr Julio Romero
Faculty of ESTEM
2016, Mr Julio Romero, University of Canberra
Lecture 1 - Slide 1
Acknowledgement of Country
I would like to acknowledge the Ngunnawal people who are
the Traditional Custodians of the Land that we are on.
I would also li
Mr Julio Romero
Faculty of ESTEM
2016, Mr Julio Romero, University of Canberra
Lecture 1 - Slide 1
S&S is Everywhere
Twenty years ago, the Fast Fourier Transform (which we
will cover towards the end of the semester) was a
mysterious thing that only few i | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
* Five-step problem solving process. A five-step methodology for solving problems is used throughout the text. Each step is clearly identified to help students focus on the process of breaking a problem into smaller components and then addressing the smaller components throughout the text. The five steps are:
* State the problem clearly.
* Describe the input and the output.
* Work the problem by hand (or with a calculator) for a specific set of data. | 677.169 | 1 |
Fundamentals of Quantitative Modeling
Fundamentals of Quantitative Modeling
University of Pennsylvania
Acerca de este curso: How can you put data to work for you? Specifically, how can numbers in a spreadsheet tell us about present and past business activities, and how can we use them to forecast the future? The answer is in building quantitative models, and this course is designed to help you understand the fundamentals of this critical, foundational, business skill. Through a series of short lectures, demonstrations, and assignments, you'll learn the key ideas and process of quantitative modeling so that you can begin to create your own models for your own business or enterprise. By the end of this course, you will have seen a variety of practical commonly used quantitative models as well as the building blocks that will allow you to start structuring your own models. These building blocks will be put to use in the other courses in this Specialization.
In this module, you will learn how to define a model, and how models are commonly used. You'll examine the central steps in the modeling process, the four key mathematical functions used in models, and the essential vocabulary used to describe models. By the e...
7 videos, 1 reading
Calificado: Module 1: Introduction to Models Quiz
WEEK 2
Module 2: Linear Models and Optimization
This module introduces linear models, the building block for almost all modeling. Through close examination of the common uses together with examples of linear models, you'll learn how to apply linear models, including cost functions and production functions t...
6 videos, 1 reading
Calificado: Module 2: Linear Models and Optimization Quiz
WEEK 3
Module 3: Probabilistic Models
This module explains probabilistic models, which are ways of capturing risk in process. You'll need to use probabilistic models when you don't know all of your inputs. You'll examine how probabilistic models incorporate uncertainty, and how that uncertainty co...
12 videos, 1 reading
Calificado: Module 3: Probabilistic Models Quiz
WEEK 4
Module 4: Regression Models
This module explores regression models, which allow you to start with data and discover an underlying process. Regression models are the key tools in predictive analytics, and are also used when you have to incorporate uncertainty explicitly in the underlying196 calificaciones
Videos and PDF notes are excellent - brief, direct, to the point. Current and good use of timing. Good quiz questions that test your understanding. Really enjoying this course compared to others attempted. would definitely recommend. thank you | 677.169 | 1 |
8.4
Word problems
This is a day of practice with applications. There is no reading or mini-lecture.
9
Exact solutions to dierential equations
This unit covers Sections 7.2 and 9.2 of the textbook. It concerns mainly techniques
of computation. For each of
A dierentia
4
Integration techniques
We are now out of Part I of the course, where everything goes back to number sense,
and into a segment of the course that involves learning a skill. Its a high level skill,
but youre good at that kind of thing or you wouldnt be he
2
Exponents and logarithms
While the section on exponents and logarithms is math you already know, there
is probably a fair amount of new learning for most of you. However, we will start
with some algebraic identities that are purely review: you are expec
3
Sums and Integrals
Definite integrals are limits of sums. We will therefore begin our study of integrals
by reviewing finite sums and the relation between sums and integrals. This will allow
you to understand approximate values of integrals even when yo
10
10.1
Functions of several variables
Plots: surface, contour, intensity
To understand functions of several variables, start by recalling the ways in which you
understand a function f of one variable.
(i) As a rule, e.g., double and add 1
(ii) As an equa
3.1
Sums
50. These questions relate to the sum
4
j=3
A (3/2)j .
(a) How many terms are there in the sum?
Solution: j goes from 3 to 4 so there are eight terms in all. Note that
4 (3) = 7, which is one fewer than the correct count.
(b) What is the first te
1.2
Units, proportionality and word problems
7. Let P (x) be the pressure, in PSI (pounds per square inch) at a depth of x inches
below the surface of a body of water. What are the units of P (x), and what is its
interpretation?
Solution: P (x) has units
12
Gradients and optimization
All you need to know (for now) about vectors
Think of a vector as an arrow drawn from one point in the plane or three dimensional
space to another. The arrow from (1, 1) to (2, 3) is shown in the gure. The only
tricky thing i
1
Functions
If we count AB calculus as a pre-requisite and pre-calculus/trigonometry is a prepre-requisite, then functions and their graphs are a pre-pre-pre-requisite! But. that
doesnt mean that most of you are suciently good at dealing with these. Recog
11
11.1
Partial derivatives
Definition and examples
One thing I would like to point out is that youve beenn taking partial derivatives
all your calculus-life. When you compute df /dt for f (t) = Cekt , you get Ckekt
because C and k are constants. The nota
Lecture 2
Overview of
Financial Statements
Balance Sheet
Goal of Todays Class
Understand the four financial
statements and how they fit together
Understand which business
processes and transactions are
reflected in the statements.
Reporting Business
Act
6
Taylor Polynomials
The textbook covers Taylor polynomials as a part of its treatment of infinite series
(Chapter 10). We are spending only a short time on infinite series (the next unit,
Unit 7) and will therefore learn Taylor polynomials with a more di A classical
1. Suppose that f (x) measures the time (in hours) it
takes you to walk the first x miles of a long journey.
Your speed at time t is given by which expression?
(a) (d/dt)f 1(t)
(b) f 0(t)
(c) 1/f 0(t)
(d) f 0(f 1(t)
1
(2) The hyperbolic sine function is d | 677.169 | 1 |
Understanding Analysis (Undergraduate Texts in Mathematics)
Author:Stephen Abbott
ISBN 13:9780387950600
ISBN 10:387950605
Edition:1st ed. 2001. Corr. 2nd p
Publisher:Springer
Publication Date:2002-07-12
Format:Hardcover
Pages:260
List Price:$54.95
 
 
This book outlines an elementary, one-semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. | 677.169 | 1 |
This major textbook, a product of many years' teaching, will appeal to all teachers of combinatorics who appreciate the breadth and depth of the subject. The authors exploit the fact that combinatorics requires comparatively little technical background to provide not only a standard introduction but also a view of some contemporary problems. All of the 36 chapters are in bite-size portions; they cover a given topic in reasonable depth and are supplemented by exercises, some with solutions, and references. To avoid an ad hoc appearance, the authors have concentrated on the central themes of designs, graphs and codes | 677.169 | 1 |
Comprehensive and easy to use, the revised and updated seventh edition covers practical math problems that automotive technicians will face on the job. The easy-to-read and well organized chapters of Practical Problems in Mathematics for Automotive Technicians, Seventh Edition feature step-by-step instructions, diagrams, charts, and examples that facilitate the problem-solving process while reinforcing key concepts. The presentation builds from the basics of whole-number operations to cover percentages, linear measurement, ratios, and the use of more advanced formulas. With a special section on graphs, scale reading of test meters, and invoices found in the workplace, this text is tailor-made for students in any automotive course of study! | 677.169 | 1 |
Thoroughly revised and updated, this self-contained textbook provides a pedagogical introduction to relativity. It covers the most important features of special as well as general relativity, and considers more difficult topics, such as charged pole-dipole particles, Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools are provided, most derivations are complete, and exercises are included where appropriat
A systematic exposition, developed from the ground up, demonstrating how conformal methods can be used to study the global properties of solutions to Einstein's theory of gravity. For graduate students and researchers, this self-contained account examines the key results in mathematical relativity over the last thirty years. | 677.169 | 1 |
Essential Mathcad for Engineering, Science, and Math w/ CD/i>
Overview other software, such as Excel spreadsheets, can be incorporated effectively. A companion CD-ROM contains a full non-expiring version of Mathcad (North America only).
This new edition features a new chapter that introduces the basics of Mathcad to allow the reader to begin using the program early; applied examples and problems from a wide variety of disciplines; and more thorough discussions of commonly used engineering tools – differential equations, 3D plotting, and curve fitting.
Its simple, step-by-step approach makes this book an ideal text for professional engineers as well as engineering , science, and math students.
*Many more applied examples and exercises from a wide variety of engineering, science, and math fields * New: more thorough discussions of differential equations, 3D plotting, and curve fitting. * Full non-expiring version of Mathcad software included on CD-ROM (North America only) * A step-by-step approach enables easy learning for professionals and students alike
Read an Excerpt
Essential Mathcad for Engineering, Science, and Math ISE
Elsevier
Chapter One
An Introduction to Mathcad
This chapter is intended to quickly teach you some fundamental Mathcad concepts. We will only touch the surface of many Mathcad concepts. In later chapters, we will get into more depth, and build on the concepts covered in this chapter. This chapter also teaches techniques to create and edit Mathcad expressions.
Chapter 1 will:
* Show how to do simple math in Mathcad.
* Teach how to assign and display variables.
* Explain how to create and edit math expressions.
* Demonstrate the editing cursor and the different forms it takes.
* Discuss the use of operators.
* Demonstrate how to wrap a math region.
* Briefly discuss the Mathcad toolbars.
* Introduce and define math and text regions.
* Introduce built-in and user-defined functions.
* Introduce units.
* Introduce arrays and subscripts.
* Discuss the variable ORIGIN.
* Describe the difference between literal and array subscripts.
* Introduce range variables.
* Introduce X-Y plots.
* Encourage completing several Mathcad tutorials.
BEFORE YOU BEGIN
If you don't already have Mathcad installed on your computer, take a few minutes and install the included version of Mathcad 14. This is the full unexpiring version of Mathcad. This will allow you to follow along and practice the concepts discussed in this book. It will also give you access to Mathcad Help and Mathcad Tutorials.
Essential Mathcad is based on the US version of Mathcad. It is also based on the US keyboard. There may be slight differences in Mathcad versions sold outside of the United States.
We suggest that you read and do the exercises in the Mathcad tutorial before or just after reading this chapter. You can open the Mathcad tutorial by clicking Tutorials from the Help menu. This opens a new window called the Mathcad Resources window. In this window you will see a list of Mathcad tutorials. Click the Getting Started Primers. Each of these primers is excellent. You may choose to do them all, but for the purpose of this chapter, focus on the following topics: Entering Math Expressions, Building Math Expressions, Editing Math Expressions, First Things First, and Adding Text and Images. This chapter cannot replace the experience gained by completing the Mathcad tutorials.
Mathcad Basics
Whenever you open Mathcad, a blank worksheet appears. You can liken this worksheet to a clean sheet of calculation paper waiting for you to put information on it.
Let's begin with some simple math. Type 5+3=. You should get the following:
5 + 3 = 8.
Now type (2+3)*2=. You should get the following:
(2 + 3)* = 10.
You can also assign variable names to these equations. To assign a value to a variable, type the variable name and then type the colon : key. For example, type a1:5+3.
Now type a1=. This evaluates and displays the value of variable a1.
al = 8.
Let's assign another variable. Type b1:(2+3)*2.
Now type b1=. This displays the value of variable b1.
Now that values are assigned to variable a1 and variable b1, you can use these variables in equations. Type c1:a1+b1.
c1 = 18.
Now type c1=. You should get the following result:
Tip!
As you begin using variables, it is important to understand the following Mathcad protocol. In order to use a previously defined variable, the variable must be defined above or to the left of where it is being used. In other words, Mathcad calculates from left to right, top to bottom.
As you can see, Mathcad does not require any programming language to perform simple operations. Simply type the equations as you would write them on paper.
CREATING SIMPLE MATH EXPRESSIONS
There are two ways to create a simple expression. The first way is to just type as you would say the expression. For example, you say 2 plus 5, so you would type the following 2+5. You say 2 to the 4th power, so you would type 2^4. You say the square root of 100, so you type \100.
The second way to create a simple expression is to type an operator such as +, —, *, or /. This will create empty placeholders (black boxes) that you can then click to fill in the numbers or operands. For example, if you press the + key anywhere in your worksheet, you will get the following:
* + * Click in the first placeholder and type 2, then press TAB or click in the second placeholder and type 5. Your expression should now look like this:
2 + 5
In this example, 2 and 5 are operands of the + operator.
You can use this procedure with any operator. Let's try the exponent operator. Press ^ to create the exponent operator. You can also click [X.sup.Y] on the calculator toolbar. You should have the following:
[??]
Click in the lower placeholder and type 2, then press TAB or click in the upper placeholder and type 4. Your expression should now look like this:
24
These methods of creating expressions work very well for creating simple expressions. As your expressions become more complex, there are a few things we must learn.
EDITING LINES
Creating more complex math expressions is very easy once you learn the concept of the editing lines. These are similar to a two-dimensional cursor with a vertical and a horizontal component. There is a vertical editing line and a horizontal editing line. As an expression gets larger, the editing lines can grow larger to contain the expanding expression. Notice how in the previous examples the editing lines just contained a single operand. Pressing the spacebar will cause the editing lines to grow to hold more of the expression. For example, if you type 2+5 spacebar, you get the following:
2 + 5
Whatever is held between the editing lines becomes the operand for the next operator. So, if you type 2+5 spacebar^3, you get the following:
(2 + 5)3
In this case (2+5) is the x operand for the operator x to the power of y. Notice how the editing lines now contain only the number 3. This means that if you type any operator, the number 3 is the operand for the operator. Thus, if you type + 4, you get the following:
(2 + 5)3+4
But, if you press the spacebar first, the editing lines expand to enclose the whole expression. This expression becomes the operand for the next operator. Thus, if you now type + 4, you get the following:
(2 + 5)3 + 4
The whole expression became the operand for the addition operator.
It is very important to understand this concept of using the editing lines to determine what the operand is of your next operator. You can also use parentheses to set the operand for operators. Pressing the single quote (') adds a pair of opposing parentheses.
The following example will help reinforce these concepts. Let's create the following expression:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
To create this expression, use the following steps:
1. Type 1/2 spacebar. The editing lines now hold the fraction 1/2. This becomes the operand for the subtraction operator.
1/2
2. Type - 1 / 3 spacebar spacebar. The editing lines should now hold both fractions. This becomes the operand for the power operator.
1/2 - 1/3
3. Type ^2 spacebar. The editing lines should now hold the entire numerator. This becomes the operand for the division operator.
(1/2 - 1/3)2
4. Type /\(or use the square root icon on the math toolbar) 4/5 spacebar spacebar. This makes everything under the radical the operand for the addition operator.
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
5. Type + 2 / 7. This completes the example.
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
Notice how during each step, the spacebar was used to enlarge the editing lines to include the operand for the following operator.
The Mathcad tutorial has additional examples that provide worthwhile practice.
EDITING EXPRESSIONS
Another important concept to know is how to edit existing expressions. In order to understand this concept, it is important to understand how to move the vertical editing line. This vertical editing line can be moved left and right using the left and right arrow keys. You can also toggle the vertical editing line from the right side to the left side and back by pressing the INSERT key. For expressions that are more complex you can also use the up and down arrows to move both editing lines.
Selecting Characters
If you click anywhere in an expression and then press the spacebar, the editing lines expand to include more and more of the expression. How the editing lines expand depend on where you begin and on what side the vertical editing line is on. The editing lines work differently in different versions of Mathcad. The best way to understand how they work is to experiment and to follow the examples in the Mathcad tutorial.
Tip!
I have found that if you begin with the vertical editing line on the right side of the horizontal editing line, the expansion of the editing lines makes more sense. The general rule is that as the editing lines expand and cross an operator, the operand for that operator is then included within the lines.
Deleting Characters
You can delete characters in your expressions by moving the vertical editing line adjacent to the character. If the vertical editing line is to the left of the character, press the DELETE key. If the vertical editing line is to the right of the character, press the BACKSPACE key.
To delete multiple characters, drag-select the portion of the expression you want to delete. If the vertical editing line is to the left of the highlighted area, press the DELETE key. If the vertical editing line is to the right of the highlighted area, press the BACKSPACE key.
Deleting and Replacing Operators
To replace an operator, place the editing lines so that the vertical editing line is just to the left of the operator. Next, press the DELETE key. This will delete the operator, usually leaving a hollow box symbol where the operator used to be. Now, type a new operator, and it will replace the box symbol. See Figure 1.1.
You may also have the vertical editing line to the right of the operator and use the BACKSPACE key to delete and replace the operator.
The best way to understand this concept is to experiment with it.
WRAPPING EQUATIONS
There are times when a very long expression might extend beyond the right margin. If this is the case, the entire expression will not print on the same sheet of paper.
There is a way to wrap your equations so that they are contained on two or more lines; however, you are only able to wrap equations at an addition operator.
To wrap an equation, press CTRL+ENTER just prior to an addition operator. Mathcad inserts three dots indicating that the expression is to be continued on a following line. On the following line, Mathcad inserts the addition operator with a placeholder box. Because Mathcad automatically inserts the addition operator, you are not able to wrap an equation at other operators.
Tip!
You may wrap an equation at a subtraction operator by making the following operand a negative number (in essence adding a negative number).
TOOLBARS
Now that you understand how to create and edit Mathcad expressions, let's start exploring some of Mathcad's features.
One of the easiest ways to access many of Mathcad's features is by the use of toolbars. You access Mathcad toolbars by clicking Toolbars from the View menu. For our discussion it is important to have the following toolbars turned on: Standard, Formatting, and Math. See Figure 1.3 to see these toolbars.
The Math toolbar allows you to quickly access many of the other toolbars. From this toolbar you will be able to open the following toolbars: Calculator, Graph, Vector and Matrix, Evaluation, Calculus, Boolean, Programming, Greek Symbol, and Symbolic Keyword. Hover your mouse above each icon on the Math toolbar to see a tooltip reminding you which toolbar each icon opens.
Calculator Toolbar
The Calculator toolbar allows you to quickly access some basic math operators and trigonometric functions. See Figure 1.4. The Calculator toolbar behaves just like a calculator. It inserts the numbers and operators into Mathcad as you click the buttons on the toolbar. If you click an operator prior to entering numbers, Mathcad inserts blank placeholders into the worksheet. Press the TAB key to move between placeholders.
In-Line Division
In-line division is a way to save space when you have several divisions in your expression. It displays division similar to a textbook. To add an in-line division operator to your expression, type CTRL+/ rather than just the /. You can also use the division (÷) icon on the Calculator toolbar. See Figure 1.5.
Mixed Numbers
Mixed numbers allow you to input and show values as integers and fractions. To enter a mixed number press CTRL+SHIFT+PLUS or use the [??] icon on the Calculator toolbar. See Figure 1.6.
To display results as mixed fractions, double-click the displayed result. This opens the Result Format dialog box. Select Fraction from the Format list, and check the "Use mixed numbers" check box.
Greek Toolbar
The Greek toolbar allows you to quickly enter Greek letters. See Figure 1.7. Chapter 2 will discuss Greek letters in more detail.
Summary of Equal Signs
There are four equal signs used in Mathcad. It is important to understand the difference between them.
* The assignment operator (:=) COLON is used to define variables, functions, or expressions.
* The evaluation operator (=) EQUAL SIGN is used to evaluate a variable, function, or expression numerically.
* The Boolean equality operator (=) CTRL+EQUAL SIGN is used to evaluate the equality condition in a Boolean statement. It is also used for programming, solving, and in symbolic equations. It will be discussed in more detail in future chapters.
* The global assignment operator ([equivalent to]) TILDA $ or SHIFT+ACCENT is used to assign a global variable. All global assignment definitions in the worksheet are scanned by Mathcad prior to scanning for normal assignment definitions. This means that global assignments can be defined anywhere in the worksheet and still be recognized. Global assignments should be used with caution.
Tip!
The use of global definitions is discouraged because they do not participate in redefinition warnings, and they can create confusing redefinition chains if used in the middle of a document.
The assignment operator, evaluation operator, and global assignment operator are found on the Evaluation toolbar. The Boolean equality operator is found on the Boolean toolbar.
REGIONS
A region is a location where information is stored on the worksheet. Your entire Mathcad worksheet will be comprised of individual regions. You can view the regions in your worksheet by clicking Regions from the View menu. There are two types of regions—math regions and text regions.
Math Regions
Math regions contain variables, constants, expressions, functions, plots, among others. These regions are basically anything except text regions. These regions are created automatically whenever you create any expression or definition.
Text Regions
Text regions allow you to add notes, comments, titles, headings, and other items of interest to your calculation worksheet. There are several ways to create a text region. The simplest way to create a text region is to start typing text. As soon as you use the spacebar, Mathcad converts the math region into a text region. This is a handy feature, unless you press the spacebar by accident when you are entering a variable name. Once a math region is converted to a text region, it cannot be changed back to a math region. (You can use the undo command, if you immediately catch the mistake.) Other ways to create text regions are to use the double quote (") key, or choose Text Region from the Insert menu.
When you are finished typing the text, if you press the ENTER key, Mathcad inserts a new paragraph in the same text region. In order to exit a text region, click outside the region. You can also press CTRL+SHIFT+ENTER, or you can use the arrow keys to move the cursor outside the text region.
Meet the Author
Brent Maxfield is a Professional Structural Engineer in Utah and a Professional Civil Engineering in California. He graduated Magna Cum Laude from Brigham Young University with a degree in Civil Engineering and earned a Master of Engineering Management degree. He is active in professional associations, having served on the Board of Directors of the Structural Engineers Association of Utah and in the Structural Advisory Committee to the Utah Uniform Building Codes Commission. He has used Mathcad extensively for nearly 20 years. In Essential Mathcad, Maxfield shares his vast Mathcad experience and knowledge. | 677.169 | 1 |
How can we use math to predict the future? – Functions Regressions Project
Compressed Zip File
Be sure that you have an application to open this file type before downloading and/or purchasing. How to unzip files.
0.73 MB | 13 pages
PRODUCT DESCRIPTION
This project focuses on different kinds of functions and their applications in the real world. Students will "model with mathematics" using different approaches.
In this project students will use modeling techniques to make future predictions using general statistics of a city or country and topic of their choice. Students look at different types of data; they analyze and interpret the data to decide which function best models the data. Students generate regressions of different types of functions and use them to make future predictions.
Students will choose a driving question for their project (Examples: What will the population be in ___ (choose date) in China (choose any country or city)? etc.), and will do research to find reliable data points. Then, they will create four different models (linear, quadratic, exponential, polynomial, sinusoidal, etc.) for the data, and compare and contrast them to decide on the best model. Students will use both graphing calculators and Microsoft Excel to generate their regressions.
Students will write a report and will create a presentation. They will answer their driving questions and make future predictions based on their model of best fit6.00. | 677.169 | 1 |
MSiC Campus,Thursday, June 1st, 2017 9:00am - 2:30pm
Conference Overview:
Just as there is an art to calculus, there is an art to doing well on the AP Calculus exam. Come join us as we look at the new AP Calculus Course and Exam Description book and examine the types of questions found on the exam. We will also discuss how we can support students to hone their writing skills in order to respond effectively to exam questions. You will leave this workshop with a treasure trove of activities and online resources to help students reinforce their knowledge of calculus. Bring your graphing calculators and your questions as we reveal the art of success on the AP Calculus exam.
Presenter: Lin McMullin
Lin McMullin taught high school mathematics and AP calculus AB and BC for 35 years. As a reader, Lin attended the AP calculus readings for 18 years, as well as served as a table leader. Lin served as the Director of Mathematics Programs for the National Math and Science Initiative helping to expand access to AP courses nationwide. Lin has presented workshops and summer institutes for AP calculus teachers in the United States, Europe, and Asia.
In addition, Lin was one of the original authors for Agile Mind's online AP Calculus and algebra programs and contributed to D&S Marketing System's AB and BC calculus review books. His popular book for AP calculus teachers Teaching AP Calculus is now in its third edition. Lin is also the moderator of the College Board's online AP Calculus Community. Be sure to check out Lin's blog for calculus teachers at
Benefits:
Develop a deeper understanding of the connection between real world problem solving and calculus with concrete examples to share with your students
Receive 5 recertification points
Enjoy networking and idea-sharing with colleagues
Lunch and refreshments will be provided
Registration:
Educators from full consortium member school divisions are eligible to participate free of charge.
Participants from institutional member school divisions are eligible to participate on a space-available basis for a fee of $75.00. All other participants may attend on a space- available basis for a fee of $150.00. | 677.169 | 1 |
MATH 47 ALGEBRA FOR STATISTICS
FREQUENTLY ASKED QUESTIONS
Why is Math 47 being offered?
National and college specific data indicate that less than 15% of students who take Beginning Algebra complete their college level math course within 3 years, due in no small part to the length of the developmental math sequence. In response, community colleges across the country are offering new courses to prepare students for college level math courses in just one semester. The goal of Math 47 is to shorten the path to college level mathematics, better prepare students for a course in statistics, make mathematics more relevant to students, and help students gain college success skills, so that more students can successfully complete their math requirements and obtain a college degree.
What is Math 47?
Math 47 is an alternative path to college level math courses, specifically, Math 120 (Statistics). It integrates numeracy, proportional reasoning, algebraic reasoning, and functions with statistics and geometry as recurring course themes. Throughout the course, college success components are integrated with the mathematical topics. The course focuses on developing quantitative literacy through problem solving, critical thinking, writing and communication of mathematics. Content is developed in an integrated fashion, increasing in depth as the course progresses. Upon completion of the course, students will be prepared for Math 120.
Who should take Math 47?
Students who have completed Math 15 with a "C" or better, or placed into Beginning Algebra, who are not planning to major in science or math.
Students who are not STEM majors and do not wish to take 2 to 3 courses in algebra.
Students who need to take only one college level math course (statistics) for their major.
Students who need to complete their math requirement for an AA degree (non-STEM) and may continue their education at a four-year college.
Why should I take Math 47?
The primary reason to take Math 47 is that you can complete your math requirement faster, in two semesters (Math 47/Math 120), even if you placed into beginning algebra. The traditional path (Math 50/Math 60/Math 100/110/120) takes 3 semesters.
Another reason to take Math 47 is that it promotes 21st century skills to prepare you for both the workplace and future coursework, so you may find the course more relevant and meaningful than a beginning algebra course.
How many units is Math 47? Math 47 is a 4-unit class that meets 6 hours per week.
Does Math 47 meet the math requirement for an AA degree?
No. You will also need to complete Math 120.
Can I take Math 47 if I already took Math 50? Yes.
Can I take Math 47 if I placed into Math 60 or Math 56?
Yes.
What will I do in Math 47?
Math 47 is composed of several units, called cycles. Each cycle begins with an open-ended focus problem that will be revisited regularly until it is solved. For example, the first cycle's focus problem centers on the issue of post-operative medication errors. Lessons in the cycle concentrate on the skills and concepts necessary to solve the focus problem. Every cycle contains skills, concepts, and applications from four strands: numeracy, proportional reasoning, algebraic reasoning and functions. Student and mathematical success components as well as geometry and statistics appear in every cycle. Additionally, every cycle has at least two articles that students read and use in the activities. You will work on activities as a class and with with other students during class time, and will need to complete homework assignments outside of class in preparation for in-class activities and exams.
What if I decide to change my major to a STEM field (science, technology, engineering or math)?
Then you will still need to take Math 50 and Math 56 or 60, even if you complete Math 47. Math 47 is NOT a prerequisite for Math 56, Math 60, Math 110 or Math 115. | 677.169 | 1 |
Unit-I Introduction to Modeling and Simulation Nature of Simulation. Systems , Models and Simulation, Continuous and Discrete Systems, system modeling, concept of simulation, Components of a simulation study, Principles used in modeling ,Static and Dynamic physical models, Static and Dynamic Mathematical models Introduction to Static and Dynamic System simulation , Advantages ,Disadvantages and pitfalls of Simulation. | 677.169 | 1 |
brain explains... Most math and science study guides are dry and difficult, but this is the exception. Following the successful The Humongous Booksin calculus and algebra, bestselling author Mike Kelley takes a typical statistics workbook, full ofMore...
A brain explains... Most math and science study guides are dry and difficult, but this is the exception. Following the successful The Humongous Booksin calculus and algebra, bestselling author Mike Kelley takes a typical statistics workbook, full of solved problems, and writes notes in the margins, adding missing steps and simplifying concepts and solutions. By learning how to interpret and solve problems as they are presented in statistics courses, students prepare to solve those difficult problems that were never discussed in class but are always on exams. •With annotated notes and explanations of missing steps throughout, like no other statistics workbook on the market • An award-winning former math teacher whose website (calculus-help. com) reaches thousands every month, providing exposure for all his | 677.169 | 1 |
Calculus source code?
I am a lecturer at a Technicon (more or less the same thing as a community college in the States) in South Africa, busy with a "intelligent" calculus program that'll not only give students the right answer, but actually show them where they have gone wrong. That's the theory, anyway.
What i need is the C++ code for doing the calculus. Although I suppose I can write this myself, I don't want to re-invent the wheel. I don't need very advanced stuff - just basic differentiation, integration and first order differential equations.
Can somebody point me to a website or maybe a person(s) that has done this before | 677.169 | 1 |
This book is highly recommended for students in high schools and those studying privately for other entrance examination to the universities. It is suitable as a preparatory course book for those who wish to engage in self-study through distance learning programmes in the universities and other tertiary educational institutions.The book begins with an introductory work on arithmetic that includes the number line, fractions, approximations, etc. This is followed by chapters which cover extensively the syllables of major examinations such as the GCE O'Level and the WASSE examinations. | 677.169 | 1 |
Engineering Computations: An Introduction Using MATLAB and Excel
Written for engineering students, this text provides a concise introduction to both MATLAB and Excel, and explores applications from a broad range of engineering topics. Topics covered include an introduction to MATLAB fundamentals and programming, introduction to Excel, plotting data, root finding, and optimization.
MATLAB is used to create graphs and to solve numerous application examples in the book.
About This Book
Joseph C. Musto, Milwaukee School of Engineering William E. Howard, East Carolina University Richard R. Williams, East Carolina University | 677.169 | 1 |
To properly function in today's work environment, engineers require a working familiarity with numerical analysis. This book provides that necessary background, striking a balance between analytical rigor and an applied approach focusing on methods particular to the solving of engineering problems.
This textbook is written primarily for undergraduate mathematicians and also appeals to students working at an advanced level in other disciplines. The text begins with a clear motivation for the study of numerical analysis based on real-world problems.
Computer modeling is now an integral part of research in evolutionary biology. The advent of increased processing power in the personal computer, coupled with the availability of languages such as R, SPLUS, Mathematica, Maple, Mathcad, and MATLAB, has ensured that the development and analysis of computer models of evolution is now within the capabilities of most graduate students. | 677.169 | 1 |
This course, together with MATHS 1011 Mathematics IA, provides an introduction to the basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to engineering, the sciences and financial areas; introduces students to the use of computers in mathematics; and develops problem solving skills with both theoretical and practical problems.
Topics covered are: Calculus: Applications of the derivative; functions of two variables; Taylor series; differential equations. Algebra: The real vector space, eigenvalues and eigenvectors, linear transformations and applications of linear algebra. | 677.169 | 1 |
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Algebra I Prep Class
Jul 24 - Aug 04
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Meeting Dates
From Jul 25, 2016 to Aug 04, 2016
About This Activity
This class is encouraged for students planning to take Algebra 1 for the 2016-2017 school year. The focus will be gaining a deeper understanding of important introductory Algebra 1 concepts including: fractions, order of operations, charts/graphs, input/output function tables, distributive property, solving linear equations, multiplying binomial expressions (FOIL), and factoring. Students are expected to take notes and complete in-class assignments. Paper, pencils, a folder, and a calculator should be brought to class each day., Instructor: Brian Newport | 677.169 | 1 |
Compressed Zip File
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7.24 MB | 76 pages
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This new bundle of activities will help your students succeed in this difficult chapter. Included are notes, task cards, homework, assessment, graphic organizers, study guides, and more. Note: this is not a bundle for the entire chapter but rather for all the tests of convergence. Additional resources for this chapter are listed below17.00. | 677.169 | 1 |
Portrait
Terry Gannon is Professor of Mathematics at the University of Alberta, Edmonton. He is currently also Research Fellow of Alexander von Humboldt Foundation, EPSRC.
Pressestimmen
Review of the hardback: 'Gannon wants to explain to us 'what is really going on'. His book is like a conversation at the blackboard, with ideas being explained in informal terms, proofs being sketched, and unknowns being explored. Given the complexity and breadth of this material, this is exactly the right approach. ... The result is informal, inviting, and fascinating.' MAA Reviews Review of the hardback: 'I personally feel that one-volume introductions to subjects of major mathematical interest and importance are invaluable, as collecting information from a variety of scattered sources and arranging it in an accessible way is a great service to those new to the field. This book does this very successfully and is a helpful contribution to the literature.' Mathematics Today | 677.169 | 1 |
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Aleks Upgrades HS Geometry Tool
Math Assessment tool provider Aleks has upgraded its High School Geometry offering so that it now leverages the company's AI-2 intelligence engine, which aims to reduce faculty workload and make learning process more rewarding and more targeted to student needs.
Specifically, Aleks used instructor and student feedback to develop the course's AI-2 engine so that it could provide more accurate assessments and let teachers more flexibly instruct students. Students navigate learning paths based on their level of readiness.
In terms of subject matter, the geometry course covers 217 concepts under the broader categories of algebra and deductive reasoning, lines and angles, triangles, polygons and circles, similarities and transformations, volumes and surface areas, and coordinate geometry.
The geometry course includes more than 40 new problem types and a content editor to let teachers remove more than 100 topics and change the sequence of topics to tailor the curriculum to their classes' needs. The course also includes input tools, such as proof and construction tools, to help foster a free response environment.
The geometry course is now available and can be used as core class curriculum, or in a supplemental fashion for remediation, intervention, or gifted or after school programs | 677.169 | 1 |
This powerful, easy-to-use app helps tradesmen on the job whenever they need to use or calculate dimensional math, fractions (ruler, proper, improper, and mixed), unit conversions, ratios and proportions, trigonometry/trig and plane geometry (right triangles/angles, circular and polygonal shapes). In addition, the Tradesman Calc app has a wide range of powerful math functions, including the ability to enter math equations using order of operations. And you can work with exponents, square roots, reciprocals and more.
The app also has a wide range of powerful math functions, including the ability to enter math equations using order of operations. And you can work with exponents, square roots, reciprocals and more.
The Tradesman Calc app is easy-to-teach and easy-to-learn, making it ideal for instructors helping students in career and technical education programs develop and expand their applied and practical math skills. | 677.169 | 1 |
hematics for Elementary Teachers, Hints and Solutions Manual for Part a Problems: A Contemporary Approach
This leading mathematics text for elementary and middle school educators helps you quickly develop a true understanding of mathematical concepts. It ...Show synopsis | 677.169 | 1 |
Tensor analysis is an essential tool in any science (e.g. engineering,
physics, mathematical biology) that employs a continuum
description. This concise text offers a straightforward treatment of
the subject suitable for the student or practicing engineer. more...
The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables.... more...
Elementary Vectors, Third Edition serves as an introductory course in vector analysis and is intended to present the theoretical and application aspects of vectors. The book covers topics that rigorously explain and provide definitions, principles, equations, and methods in vector analysis. Applications of vector methods to simple kinematical andRepresenting an introduction to tensor analysis, this book introduces tensors in symbolic notation and in Cartesian and curvilinear co-ordinates, amongst other things, as well as the algebra of second stage tensors. It imparts the required algebraic aids; and is directed at students on various engineering study courses. more...
It is true that there exist many books dedicated to linear algebra and some what fewer to multilinear algebra, written in several languages, and perhaps one can think that no more books are needed. However, it is also true that in algebra many new results are continuously appearing, different points of view can be used to see the mathematical objects... more...
Based on a streamlined presentation of the author?s successful work, An Introduction to Frames and Riesz Bases , this new textbook develops frame theory as part of a dialogue between mathematicians and engineers. more...
This book provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. With numerous color figures, it details both the underlying mathematics and the applications of tensor fields. more... | 677.169 | 1 |
This book is developed and written for undergraduate and postgraduate students who are studying functional analysis. It gives answers for many important questions, supplies students with adequate studies required for their future academic needs? On the other side, it introduces some recent results for researchers. It is readable, available and flexible in use because it introduces the basics of linear algebra, linear spaces, basis and dimension supported with many examples, basic concepts of functional analysis especially; the normed, the metric, and inner product spaces' concepts and the relation between those spaces, sequences, some types of convergence, linear, bounded, continuous, uniformly continuous operators between normed spaces, dual spaces, and functional representations. | 677.169 | 1 |
Algebra covers topics common to curriculums nationwide, including sections on the language of sets, properties of numbers, functions, deductive proofs with algebraic theorems, statistics, and probability and helps students understandMore...
This updated edition covers topics common to curriculums nationwide, including sections on the language of sets, properties of numbers, functions, deductive proofs with algebraic theorems, statistics, and probability and helps students understand basic algebraic concepts | 677.169 | 1 |
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Unformatted text preview: Study Guide for Test 3 MATH 2414 (Graves) Test 3 covers Chapter 9 (sections 9.1 – 9.5) and Chapter 10 (sections 10.1 – 10.4). 1. Understand the terminology and concepts used in connection with differential equations (DEs). Specifically: know what a DE is, how to find its order, how to verify that a function is a solution, what an initial condition is, and what constitutes an initial-value problem (IVP). Study the definitions in Section 9.1 2. Know how to sketch the graph of a solution to a first-order differential equation, given a direction field for it and an initial condition. Also, know how to find equilibrium solutions. Chapter 9 Review Exercises, p. 615: 1, 3a 3. Know how to use Euler's method to approximate the values of solutions to IVPs. Chapter 9 Review Exercises, p. 615: 3b, 4 4. Know how to identify and solve separable and linear DEs and IVPs. Chapter 9 Review Exercises, pp. 615–616: 5–8, 9–12 5. Know how to find the orthogonal trajectories of a family of curves.5....
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This note was uploaded on 01/06/2012 for the course MATH 2414.S01 taught by Professor Alans.grave during the Fall '11 term at Collins. | 677.169 | 1 |
Tips for Signing up A-Level Mathematics Course
A-Level examinations are mainly taken by graduating secondary students in school and this examination is one of the most important examinations held in all the British-styled high schools around the world. England, Wales and Northern Ireland are some of the countries which have this exam. The exams are open for both adults and independent students.
The exams include subject areas like science, humanities, arts, math, any one foreign language and English along with other vocational subjects. A-Level Mathematics is one of the base requirements for most the engineering courses in UK and passing this test will help you to avail superior placement acclaim at various U.S. institutes and universities.
Importance of A-Level Mathematics Courses
Mathematics plays an important role in our everyday life. This is further ascertained by the fact that every activity that we do like climbing the number of stairs, cooking that requires correct measurement of substances etc. all has some part of math calculation attached with it. Learning Math is therefore very precious as the subject of Mathematics forms the base on which so many processes and systems depend. Most of the professional fields need higher study of math. This is what makes the A-level math course one of the most benefiting and versatile courses of all. Passing the ALevel Mathematics can open up various opportunities both in the field of education and also in career.
The curriculum of A Level Mathematics goes ahead of the fundamentals of just subtraction and addition and stretches far beyond in to the world of Geometry, algebra, trigonometry and much more. With the completion of the course you will have inculcated the ability to solve complex functions and analyze and solve the forces in mechanics. Having covered and availed a thorough understanding of the above topics, you will have gained the ability to maneuver and play with figures. The other skills that these courses aim at focusing are the use of abstract and logical reasoning in the solving of complex problems.
The basic format followed by the A-level mathematic course
The mathematics course has been divided in to a number of modules. The main modules include- Core 1, Core 2, Mechanics 1, Core 3, Core 4 and Mechanics 2. The first three modules which are Core1, Core 2 and mechanics 1 comprise of AS level curriculum. The next three modules constitute the A 2 level. Each of the modules is presented in a separate manner. The material that constitutes the different modules helps in building up the understanding of some of the fundamental mathematical theories in a gradual and sequential manner. Important topics such as integration and differentiation are included in all the foundation modules and hence shape the important mathematical tool kit that is needed for proper guidance and help in higher studies.
While for many mathematicians, the art of mathematics is a language that has its distinct vocabulary, terminology and notations which are specific in nature. A level Mathematic course is expected to help you to identify and also to understand the various notations and vocabulary not only in the examination sheets but also to inculcate the capability to use this information correctly in your answers. The easy way of remembering these would be to jot it down in a paper or file it in accordance for further use.
How to sign up with an A level Mathematics course
The first thing that is needed to do is to decide on the preferred means of study. There are a number of options available for the ways to study the course like the conventional means as offered at schools, via long distance learning or by self study. You have to make a choice which suits you best. While adults and professionals who are already leading a busy life might prefer long distance courses for the A level Mathematics course; that fits in with their timings and helps them to study at their own convenience, there are other group of people who are not so busy and wish to take on the conventional means of learning by attending classes along with younger children.
If you are an immigrant or have arrived with a student visa to pursue higher studies in UK then it is advisable that you enroll for A-Level math tuition. This will help you to come in line with the kind of curriculum they have. There are also various distance learning courses available along with schools who present guidance in A-Level math. Professional career advisers will help you to choose a course from the institute that will suit your present convenience and demands best.
Once the mode of study gets decided collect all the requisite study materials for the A level Mathematics test and make a timetable of your schedule to find out time for studying the materials. The local library, various online bookstores, secondhand bookstores can be of great help and seniors who have already qualified for the exam can be asked for proper guidance. Study groups and revision classes can also be attended for extended help in the subject.
The course schedule provides students with the opportunity to choose the board of examination in case you wish to sit for the exams at the conclusion of the undergoing A-Level math course. Many students prefer this in order to certify the relevant skills and avail an A-Level Mathematics certificate. There are still others who study A level mathematics courses for the enrichment of personal knowledge and hence are not interested in sitting for the exam at the end of the course. This would not be a very good idea to follow as this will fail to ascertain if you have actually been able to acquire the required skills or not. Moreover, knowing the importance of an A level certificate, it can be said for certain that an additional degree will actually enhance your qualification.
Irrespective of what exam board the candidate chooses the core content remains the same. A little disparity will be found on the higher levels of mathematics. It is advisable to choose the one that suits your aptitude best. | 677.169 | 1 |
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Show More bioscientist.Core Maths for the Biosciences introduces the range of mathematical concepts that bioscience students may encounter - and need to master - during the course of their studies. Starting from fundamental concepts, the book blends clear explanations and biological examples throughout as it takes the reader towards some of the most sophisticated yet elegant mathematical tools in use by biologists today.Reflecting the use of maths in the exploration of biology today, the book shows how computational approaches are applied to probe biological questions, and makes extensive use of computational support to help the reader develop mathematical skills for themselves - both through online graph-plotting software, and interactive ExcelRG workbooks.Core Maths for the Biosciences is the ideal course companion as you master the mathematical skills you need to complete your undergraduate studies.Online Resource CentreThe Online Resource Centre to accompany Core Maths for the Biosciences featuresFor registered adopters of the book:DT Figures from the book in electronic formatDT Solutions to all end of chapter exercisesDT A test bank of questions for both formative and summative assessmentFor students:DT Solutions to around half of the end of chapter exercisesDT Access to FNGraph, the graph-plotting software featured in the bookAn extensive range of interactive ExcelR workbooks, to help the reader master some of the concepts presented in the book through hands-on | 677.169 | 1 |
Math Quiz High School
Included a search function so you can use it as a math reference as well as a quiz.
Description
This math app aimed at senior high school (can also be used at first year in college) is a fun way to practice your math skills and check how much you know. It's made as quiz with 7 different categories where you can try your skills.
There is also a high score list so you can keep track of which categories where you might need to work on the material and which you are doing great! Many of the questions also have small explanations to help you out if you answer wrongly.
The questions are chosen randomly each time so you can try out the same category a few times and still get new questions in mathematics.
There is also a search function so you can use it as a math reference as well as a quiz.
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GRAPH EXPO 2011
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Search nearby hotels, manage your stays, and book rooms with ease and at the lowest price, guaranteed. Whether you're planning a business trip, family vacation—or just need to make a last-minute reservation—the Choice Hotels App for Android makes traveling easier.… | 677.169 | 1 |
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Summary
Algebra for College Students, fourth edition, is written for students who have had the equivalent of one year of high school algebra. The content of the book is drawn from both intermediate algebra and college algebra and provides comprehensive coverage of the topics required in a strong one-term course in intermediate algebra or a one-term algebra for college students course. The goal of the Blitzer Algebra series is to provide students with a strong foundation in Algebra. Each text is designed to develop students' critical thinking and problem-solving capabilities and prepare students for subsequent Algebra courses as well as service math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and encouraging modeling and problem-solving. | 677.169 | 1 |
Handwriting calculator Handwriting Calculator is a showcase of Nokia's new handwriting recognition technology. It allows you to calculate handwritten math expressions with a touch-screen Nokia device (and with a Windows PC). The Nokia Handwriting Calculator is a Calculator for the Nokia 5800 XpressMusic, N810 and N800
Natty Scientific Calculator This is an original scientific calculator. Using an advance mathematical parser, it?s able to calculate complex mathematical equations very accuratelyEQ Calculator EQ Calculator - Replacement for the standard calculator. Convenient for a large number of calculations, because unlike a standard calculator, every button (including stick) performs an operation. Appearance depends entirely on the theme.
Usage:
Call Button - switches between the functions/digits.
Pencil - switches between degrees, radians | 677.169 | 1 |
A modern approach to mathematical modeling, featuring unique applications from the field of mechanics. An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physicsThis book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. | 677.169 | 1 |
Graph Theory can be used both as a reliable textbook for an introductory course and as a graduate text: on each topic it covers all the basic material in full detail, and adds one or two deeper results (again with detailed proofs) to illustrate the more advanced methods of that field. | 677.169 | 1 |
NM3_root_s02 - CGN 3421 - Computer Methods Gurley Numerical...
CGN 3421 - Computer Methods GurleyNumerical Methods Lecture 3 Nonlinear Equations and Root Finding Methodspage 68 of 82Numerical Methods Lecture 3 Nonlinear Equations and Root Finding MethodsLecture covers two things:1) Solving systems of linear equations symbolically2) Using Mathcad to solve systems of nonlinearequations3) Investigating algorithms to find roots of equationsSolving Systems of Linear Equations SymbolicallyLet's take a look at a very powerful tool in Mathcad that started a revolution in computational analysis. Itstarted in the late 1980's when I was an undergraduate. A company called Wolfram created a computerprogram called Mathematica. This was the first computer code that could solve algebraic and calculusequations symbolically. That is, if I had an equation that said x*y = z, Mathematica could tell me thaty = z / x, without ever needing me to assign numbers to x, y, or z. It also was able to solve integrals, dif-ferential equations, and derivatives symbolically. This was an incredible advance, and opened the doorsto a whole new world of programming, numerical methods, pure mathematics, engineering, and science. Since then, a competing code called Maple was developed and sold itself to other software companies toinclude in their programs.The end result: Mathcaduses Mapleas a solving engine in the background (you don't see it) to solveproblems symbolically. Here we will look at a brief example of how to use this capability in the contextof solving a system of linear equations. Example: The structural system below is something you will see in CES 3102 or CES 4141. r1 and r2 arelabels that indicate how the ends of the beam are allowed to move. Q and W represent the external loads(a couple and a distributed load, respectively), and material properties are given as E and I. L is the lengthof the beam. The goal is to solve for the amount or rotation at r1, and the deflection at r2 that occurs forthegiven loads. This would help us to solve for internal stresses, allowing us to design the beam to sur-vive these internal forces.Solution: The way we learn to solve this problem in CES 4141 is using a Matrix-based solution proce-dure. The generic form of the solution is K * r = RK is a 2 x 2 'stiffness' matrix that contains information about the structures shape, boundary conditionsand material properties. THe information needed is L, E, and Ir is a 2 x 1 vector that contains the unknown rotation and displacement quantities sought.R is a 2 x 1 vector that contains only information about the external loads (W and Q for this problem).r2r1WQLW = 3 K/FTQ = 2 K*FTL = 15 FTE = 4000 ksiI = 1400 in^4
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CGN 3421 - Computer Methods GurleyNumerical Methods Lecture 3 Nonlinear Equations and Root Finding Methodspage 69 of 82Solution continued: So we will haveK as a known 2 x 2 stiffness matrixWe will haveR as a known 2 x 1 load vectorWe will solvefor the unknown displacement vector rWe will not go into any detail on HOW we fill in the values for K and R, that's for another class.
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This note was uploaded on 05/18/2011 for the course CGN 3421 taught by Professor Long during the Spring '08 term at University of Florida. | 677.169 | 1 |
Systems of Inequalities Zen Math
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2.13 MB | 5 pages
PRODUCT DESCRIPTION
With this activity, students will match systems of inequalities (written in slope-intercept and standard form) to the appropriate graph. Then, they will fill in an abstract space with a pattern that matches their graphs to reveal a beautiful, fun Zen design! Students can color their final products or leave them in black and white. Either way, your classroom will be decorated with beautiful artwork as the students practice their Algebra skills!
This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally "checked out" before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with this relaxing | 677.169 | 1 |
Course Description: This course is designed for participants who need a refresher course in Algebra I content, or for new teachers who need insights, additional resources or a different perspective into the content taught in Algebra I.
Algebra 1: An Integrated Approach. McDougal, Littel/Houghton. Participants, however, may use any other Algebra I text. Course videos that contain 17 hours of instruction are provided for the student. Also, four Pre-Algebra and One Variable Equations and Inequalities, Linear Equations and Inequalities, Non-Linear Equations and Inequalities | 677.169 | 1 |
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2.05 MB | 5 pages
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This activity requires students to find the roots of 8 polynomial functions, then match the functions to their graphs. There are 8 function cards, 20 root cards, and 8 graph cards. The roots of all 8 polynomials can be found by factoring (trial & error or grouping | 677.169 | 1 |
A tough unit every year in Algebra II is Systems of Equations. They are extremely hard to make relevant even though the idea behind them is very sound and they have a lot of implications later on down the road. But the problem is how FAR down the road they really come in handy. Now, I will argue that the skill of substitution is a valuable asset. If getting a student to understand that math problems can have an element that's completely unknown called "x" is the fundamental principle of Algebra I, then realizing that equations can have unknown elements "x" that themselves represent something like "5y - 10" is the fundamental principle of Algebra II. You know, aside from a 30 second glance at every parent function under the sun. The elmination method reeks of math voodoo though. Every time I'm like "these two system components can be COMBINED and look, the x terms have canceled!" feels like I just made the whole thing up. Reactions range from "ok, whatever you say" to "hold on, what now?" If you sit down and think about it, where else in mathematics is the strategy "let's smash these two things together and hope for the best?" I know it's valid, you know it's valid. But it feels like such an outlier.
This year there were some successes. Previously I've taught subsitution and elimination as two separate concepts and required one or the other for a particular subset of test problems. This year I realized that this is rather pointless, as it's more important to show students that either method is valid and leave the decision making up to them. If the goal of solving two equations for two unknowns, does it REALLY matter how you get there? And that's where I start to get angry at systems.
Context
Are system problems the worst or what? I don't think there's any genre that has to spell out more things than systems of equations word problems. And the scenarios are so brain dead:
On Monday Byron spend $8.00 on lunch to purchase two tacos and one burrito. On Wednesday he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations used to find the cost of one taco, t?
I don't know about you, but the system that helps me find the cost of 1 taco is called the MENU. I'm not sure what's worse, the implausibility of the scenario, or spoon feeding the variable names.
The Algebra
I believe in the skills systems are trying to teach. Here are two or more equations, they involve variables that relate to one another in multiple ways, exploit this fact to determine the value of all the variables. Substitution is a noble thing, reinforcing the concept of f(g(x)). I almost want to teach f(g(x)) after substitution because of the pain f(g(x)) inflicted on my students. Pre-Cal kids get the idea no problem, but asking my Alg II's to do the same was like saying "hey, I'm going to kick your puppy now." Due to time constraints, we only ever run substitution in 2x2 systems which is a rather lame implementation. It's much more powerful in something larger.
And it's these larger systems that are really what we should attack. Because, I hate to tell you, unless your friend Byron despearately needs to itemize his taco expenses, the kind of systems you can handle reasonably with subsitution are rare. If the goal of a standardized Algebra II test is to assess a studnet's mastery of Algebra II, don't you want to give them access to all Algebra II has to offer? I know no one administering that test will be looking over their shoulder making sure they solve something via substitution.
Reality
Everyone who's anyone that has to solve a system of equations does not do so by hand. This is a fact I really wish someone had told me when I was a sophomore in college, because someone finally showed me a more realistic context for systems of equations:
This is still a contrived problem, but WAY more interesting than our little taco dilemma from earlier. How do you solve something like this? Well, it's a statics problem. Everything in the x, y, and z directions has to balance. You take the known force, break it into 3D components and set up a system that comprises the cable forces and the weight of the tower (oh hey, it only exists in the z direction, that's handy). When I actually worked this problem 9 years ago, there was a ton of algebra involved to run substitution a couple times and arrive at an answer. A semester later someone finally told me what a matrix was and I felt like a sucker for ever doing these problems the hard way. Then like a semester after that you learn engineers take the answers and multiply them all by 5 to keep from getting sued and you get upset that your TA deducted points for not carrying 5 decimal places. My students should not be shielded from the power of a calculator to run a row reduction operation and solve a 3, 4, or 5 variable system in a split second. Now, I can hear the "back in my day"s and "it's good for them"s cranking up already.
I think we spend far too much time romanticizing these dated solution methods in the name of building a better student. If this were true, you'd still be approximating log, trig, and square roots using tables in the back of your textbook. If our job is to prepare a student for the real world, why oh why should we waste a lot of time on methods they will NEVER see? Look deep in your heart, you know the dark secret. You never used a system, and you know most of them never will either.
Proposal
Keep subsitution as a concept. Keep systems as a concept. Invest the time for them to understand the algebraic relationships that exist in a system. But scrap all the time spent on old world methods. In the age of Google, knowing where to find an answer is becoming more important than the answer itself. If you are teaching systems, invest the time in running through matrix operations. Even a cruddy TI-84 has intuitive ways for entering them. And what's most important, is it's a universal method for solving a system of any size, even the 2x2 ones presented on a state test. I can tell you that this year I dedicated more of my time to the algebraic methods of systems and far less on the calculator portions. I was very disappointed with the results of both. My less able section of Algebra II in particular had such a low rate of retention when it came to translating a system of equations into something computable by calculator. Don't make them wait until they're 20 to find out there was a better way.
What inspired this? Well for one, my growing realization that one of the reasons kids hate math is that we force them to do it the hard way for unknown reasons. Second, when reviewing material for the final exam, a student asked in regards matrix multiplication "are we going to have to show the process?" to which I realized, if the goal of a final is to assess the end result of a semester's worth of work, and part of that work was understanding that matrix multiplication is more efficient on the calculator, what do I learn about the FINAL state of their knowledge by making them pretend this other method doesn't exist? | 677.169 | 1 |
This book equips students of classes xi and xii and also those preparing for engineering entrance examinations like iit-jee, aieee etc. With a sufficient grounding in mathematical concepts that would reinforce their understanding of physics.014633437826378 | 677.169 | 1 |
If you are having your first experience with a math modeling assignment, you need to understand that it will not be your last. Math modeling has crept into business, economics, sociology, health care, psychology, science and more.
Features of the Math Modeling
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Mathematical modeling is a method of using mathematical language and concepts to show proofs of both theoretical constructs as well as real situations. Many disciplines, such as chemistry, physics, biology and earth science, as well as meteorology and astronomy, use math modeling in their research and calculations.
Engineering, social sciences and economists, statisticians and psychologists, amongst others also use mathematical modeling.
These models are used to illustrate and display a range of mass information and show it in an understandable and logical fashion.
An example that will be familiar is that of weather forecasting in meteorology. Here there are such a huge range of factors, all playing out with each other to create an end result, that the only feasible way of showing this is to model, mathematically, the variables and their interactions over the course of time, (which is a constant here - that is a "known," factor). Temperature, air pressure, humidity, wind speed, adiabatic lapse rate, precipitation levels, and a myriad other functions are all combined and modeled to create the familiar weather map that we see on our television screens nightly.
There are many other forms of mathematical model which can incorporate dynamical systems, statistical models, differential equations, or game theory models. 3D computer models such as those that show reconstructions of the features of ancient skulls and skeletons, are another example of the use of math modeling in action. Another is that of the mapping and display of ocean currents and plate tectonic movements over millennia. All of these types of model can overlap like Venn diagrams, with information and values being shared between models - the case of the ocean currents above, overlapping with the weather systems, is an example of this; both share certain elements and variables of information.
The calculations and sheer quantity of numbers involved in math modeling, mean that the level of sophistication and complication is immense. It is a very rarified area of mathematical science and finding help from normal sources is often not an option.
It's A Model And It's Looking Good ...
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Our specialists are able to tackle any problem online; we have a team of math tutors who offer not just mathematical modeling help, but an online teaching service too. There is, in our opinion, very little point in struggling on with a task as difficult as math modeling if you are out of your depth with it and need some help. Engaging the services of our experts will give you excellent results first time - every time.
Math help service companies constantly advertise on the internet. To find the best math modeling help service for your needs, we would suggest checking review websites such as Trustpilot, Sitejabber, Glassdoor, and Manta. This is important - there are lots of scam companies out there, and these sites have only verifiable, authentic math writing service companies on their review pages. If you are in any doubt as to whether the company is a scam and they do not appear in any of the review sites, move on.
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Many of our students who are using our online math help service are previous customers. They have used our services in the past for mathematical modeling, amongst other problems, and have been so pleased with the results that they have come back to us. | 677.169 | 1 |
Mathematica
is a high level programming language with strong
built-in symbolic, numerical and graphic capabilities.
Mathematica code is in general short, intuitive and can be
developed in a short time. You can download mathematica
here
go to register.wolfram.com"
to request a password for the Licence number L2482-2405.
The current version is Mathematica 6.0.
You might use it just as a "calculator" (type "math" in a terminal) to differentiate
D[Sin[5*x]^2,x]
or integrate
Integrate[ 2*(x+3)/Sqrt[x^2+1],x]
solve differential equations symbolically
DSolve[y''[x]==-5*y[x],y[x],x]
or numerically (example lorentz.m ),
solve partial differential equations numerically (example heat.m ),
to plot surfaces (example surface.m ,
Level curves (example level.m ).
You might also just want to use it as a calculator with indefinite precision,
like for real numbers | 677.169 | 1 |
Quick, when was the last time you solved a quadratic
equation?Quick, given ax 2
+ bx + c = 0, derive the formula for solving quadratic equations.What does "quadratic" mean,
anyway? (Hint: It's not the same as in "quadraphonic").
Quadratic equations are something that students learn when
they take a subject called algebra.Although people have long said that there will be prayer in school as
long as there is algebra, today, algebra rules.If physics is the Queen of Sciences, algebra is currently the
King of All it Surveys.
Although algebra is all about finding values in equations,
it has no value for most people.Its
actual uselessness in most people's lives was wonderfully revealed in a Washington Post article from May 15,
1992.The story described how parents
in Fairfax County were rushing home from work, bolting down dinner, and going
to school to learn…algebra."They
came not for their benefit.They had
learned Algebra years ago and most of them had no use for X's and Y's in their
current lives."
That sure gives the game away:"Most of them had no use for X's and Y's in their current
lives."Yet they are inflicting
those useless X's and Y's on themselves for the second time.This time they're doing it so they can help
their kids get through algebra.Apparently it didn't occur to them to ask,
"If I didn't need it, why am I suffering through it again just to help my
kid successfully suffer through it?"
Why has algebra taken on such dimensions lately?Why do students in Virginia have to take
algebra to graduate from high school?Why does Montgomery County (MD) Superintendent Jerry Weast fret over the
failure rate on his algebra test?Why
did Lee Stith, the president of the National Council of Teachers of Mathematics
recently tell Post reporter Brigid
Schulte that "Algebra is the civil rights issue of the new millennium,
because it is that critical?"
Because virtually the whole nation has been
algebra-scammed.Said Weast "No
algebra means no SAT test.No SAT test
means limited college choice(never
mind that even the most selective colleges admit a wide range of SAT scores and
never mind that, in terms of later earnings, it doesn't matter what college you go to).Even Schulte fell for it and wrote "Algebra is the gateway to
college and higher-paying careers in a new technical world."
Nonsense.Balderdash.
How did we come to think that algebra is important in kid's
high school careers?Because of a
foible of the human brain.Our brains
appear to be hard-wired to make causal inferences from mere correlations.No doubt from an evolutionary perspective,
this is generally a good thing because it allows us to see patterns in our
lives and in nature.But, as
psychologists early demonstrated, we often see causes when they don't
inhere.We infer causes where only
correlations exist.
Psychologists demonstrated this many years ago.They showed a circle of light, call it A,
moving across a screen and touching a second circle of light, call it B.If circle B then moved within a certain
period of time, people watching the lights said that A caused B to move.If there
was a delay of some seconds, then people said that B moved independently of
A.We are especially wont to infer
causality if event A is always followed
by event B and if B never occurs unless A does first.Actually, all this was worked out over two centuries ago by the
British philosopher, David Hume, but he didn't have the technology to
demonstrate it.He probably also didn't
realize the long times over which humans infer causality as with sex and the
appearance of infants or, for some on the Right, the Sixties and the appearance
of all current problems.
So it was that a few years ago, the College Board noticed
that kids who take algebra (circle of light A), especially kids who take
algebra in 8th or 9th grade, also tended to take rigorous
high school curricula and to go to college (circle of light B).Aha! Said the Board.They saw a correlation between algebra and
later attainment.They then leapt to a
causal conclusion: Algebra is a "gateway" course.Having observed the correlation between
taking algebra and going on to college, the Board inferred that there was a causal relationship.
Nonsense.Balderdash.
What happens is this: schools, whether we like it or not,
are sorting machines.Jefferson
proposed them as such and they will function that way until some magical elixir
can tune up the neurons in everyone's heads.Schools identify academic talent in kids.Children that teachers think are talented get algebra in 8th
grade, those that have some talent, in 9th grade.Those the school thinks have less ability,
tangle with quadratics in a later grade or not at all.
Is the school's ability to identify talent flawless?Of course not.Indeed, the reason that Mr. Stith casts algebra as a civil rights
issue is that minority students are underrepresented in algebra classes in the
8th and 9th grades.And some kids, of any ethnicity, who are quiet and shy, might get overlooked
because they have not shown their teachers all they've got.
But is forcing everyone to take algebra the answer?Of course not.This will probably turn kids off math and even off school
altogether more than it identifies hidden talent.If I were a school official in Virginia or Montgomery County, I'd
start looking for a correlation between forcing kids to take algebra and
increased dropout rates.
Already we have some suggestive evidence from Milwaukee
which has had an algebra-for-all program for six years.Dennis Redovich a retired educator who runs
the Center for the Study of Jobs and Education in Wisconsin reports that 60% of
Milwaukee 9th graders fail algebra and that 9th graders
constitute over 40% of Milwaukee's dropouts.According to Redovich, the 9th grade in Milwaukee schools has
been getting larger each year, largely as a result of students failing algebra
and lacking enough credits to become 10th graders.For instance, in 1998-99, the 9th grade contained
9,340 students, but the 10th grade only 6,048 and the 12th
grade only 3,874.
Says Redovich, "Only 60% of the students who take
algebra pass it.The kids fail algebra,
sit around in 9th grade until they're sixteen or seventeen and then
just disappear.Some will hang on until
they reach 18, the legal age for dropping out."Some of the data seems to corroborate Redovich's contentions: If
one subtracts the number of total dropouts from the 9th grade
enrollment, almost 30% of the 9th graders are simply unaccounted for
by 12th grade.The sound I
hear of doors opening, alright, but not doors of opportunity, exits for
students flee through.
The dumbest slogan to come down the educational pike in
recent years is "All Children Can Learn."This meaningless cliché has not been elevated to mean, in the
case of algebra, that all students can learn to the same high standard.This will happen about the same time as all
students run a four-minute mile.
We can do better, no doubt.The place to start is elementary school, not 8th or 9th
grade.There are also many other
reasons for taking algebra that have nothing to do with jobs or college.Taught well (which it often isn't), algebra
can reveal a language of relationships and the beauty and elegance of
mathematics.It can actually be an
aesthetic experience.
Moreover, learning everything you can about everything you
can is a good strategy in school because life after school contains so many
uncertainties.Neither you, your
parents nor your teachers can possibly know what youmight need one day.I've
needed some algebra in my field, but haven't used calculus once in the 39 years
since the final exam (jobwise, only 4% of the population actually needs
advanced mathematics).Had I entered a
more quantitative branch of psychology, though, calculus would have been
integral.French, taken only because
that's what kids in the college track did when I was in school, turned out to
be essential when living in France and extremely useful when living in Spain
and Italy and learning those languages because Spanish and Italian closely
resemble French.And so forth.But thinking that cramming algebra into all
kids' heads is the means to a better life is making a bad causal inference from
a mere correlation. | 677.169 | 1 |
Presentation on theme: "Mathematical Studies IA A good project should be able to be followed by a non-mathematician and be self explanatory all the way through."— Presentation transcript:
3Purpose of the ProjectIt enables students to demonstrate the application of their skills and knowledge and to pursue personal interest, without time limitation and other constraints often associated with written exams.It is a piece of written work based on personal research involving collection, analysis and evaluation of data.Develop students' abilities to ask their own questions about mathematics.Encourage students to initiate and sustain a piece of work.
4Enable students to acquire confidence in developing strategies for dealing with new problems. Enable students to experience mathematics as an integrated disciplineSee connections and applications of math to other areas of interest.Allow students with varying abilities, interests and experiences to achieve a sense of personal satisfaction in studying mathematics
5Requirements The project is a piece of work based on personal research, analysis and evaluation of data.Each project must contain:A titleA statement of the taskMeasurements, information or dataAnalysis of the information, measurements or dataEvaluation of the analysisBibliography and footnotes, as necessary
6LengthThe project should be no longer than 2000 words, excluding diagrams, graphs, charts and tables. However it is the quality of the work which is most important.
8Introduction Your introduction should include: A Title page with Title of your project; your name; teacher's name; IB candidate numberA clear but brief description of your projectDescription of the steps you will take(make sure it includes what you are going to do and how you will do it – the intro can be written after the rest of the project)
9Information/Measurement Collect sufficient data to be able to draw conclusions from itOrganise your data in a logical fashionVerify the accuracy of your data (this is difficult if you do a survey of your peers – how do you ensure random sampling)Confirm that data is relevantProvide a copy of raw data/questionnaire as appendix
10Mathematical Processes Choose techniques that are appropriateVerify/check your results to confirm there are no errors in your calculationsUse both simple and sophisticated processesExplain the relevance of your processes
11Interpretation of Results Provide explanations of what your calculations showGive enough detail in your interpretation so that a reader would agree with your conclusion
12Validity Valid means does the project do what it set out to do? Are your conclusions accurate – maybe quote similar researchPerhaps comment on how you could improve your project
14Project ideasChoose something in which you are interested; for which you will be able to gather data; that there are mathematical processes simple and sophisticated which are relevant.Suggestions:Are yellow M & M's less common than other colours?Does location affect the local rate of suicides?Does that amount of water plants get affect their rate of growth?What is the relationship between GNP and AIDS infection rates?How quickly does water drain from a bucket?How long does it take for a cup of coffee to cool to room temperature?What is the pattern in the rise and fall of tides?What is the stopping distance of a particular car?Analysis of stock market fluctuationsA comparison between calorie intake and genderDoes eating breakfast have any effect on high school grades?Infant mortality and GDPInvestigation of reaction timesComparison between lung capacity, age weight and body fatCalculating the time of sunrise and sunsetGender based discriminationSports and gradesBat speed compared with body weightAir travel – distance compared with priceCost efficiency of vehiclesSine waves in pitch frequenciesMobile phone charges in different countries | 677.169 | 1 |
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class 9 math
By most students class 9 math is considered more difficult than what we study in class 10. Thus it is no surprise that a lot of focus and seriousness is needed in class 9. Here is a brief list of topics to | 677.169 | 1 |
Algebra of complex numbers. DeMoiver's Theorem
and simple applications. Determinants and matrices of order two and three
and their elementary properties . Inverse of a matrix, Rank of a matrix,
Consistency of simultaneous linear equations using determinants and matrices.
Theory of quadratic equations and expressions. Relation between roots and
coefficients. Partial fractions. Permutations and combinations. Mathematical
induction and its simple applications. Binomial theorem for a positive
integral index and its simple applications. Arithmetic, geometric and harmonic
progressions. Exponential and logarithmic series.
Probability
Addition and multiplication theorems of probability
and their applications. Binomial distribution.
Straight line, pair of straight lines. Distance
of a point from a straig ht line. Angle between two lines. Bisectors of
angles. Area of a triangle. Circle, tangent and normal. Family of Circles,
radical axis. Parabola, ellipse and hyperbola in standard forms, their
tangents and normals.
Vector Algebra
Definition of a vector. Addition of vectors.
Components in three dimensional space. Scalar and vector products. Scalar
and vector triple products. Simple applications.
Derivatives of composite and implicit functions.
Differentiation of rat ional, trigonometric, inverse trigonometric, logarithmic
and exponential functions. Tangent and normal. Sign of derivative and monotonicity.
Simple problems of maxima and minima. Integration by parts, by substitution
and by partial fractions. Definite integral. Integral as limit of a sum.
Fundamental theorem of calculus. Areas under simple curves. | 677.169 | 1 |
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Ph.D. in experimental subatomic physics after 3 years of work at ISOLDE (CERN), programming and dreaming about games during my spare time, alongside playing the electric guitar, downhill mountain-biking, doing some origami, and finding other nerdy things to do...
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You say you studied for grades in school. What is your goal this time, to study only enough maths so you can do the programming you're thinking of right now, or to actually gain that luscious deeper understanding and have a larger set of mathematical tools to choose from in the future?
The best way of learning depends of course on who you are, but having a printed book is hard to beat. As has been mentioned, there are loads of really nice free video lectures online as complementary material, have a look. And considering the level of English in your post, I'd say maths books at the level you're interested in shouldn't be a problem. As always, there's no magic book to open the doors for you, just grab whatever you can find at the local library and have fun. Search for natural science programs in high schools and universities and see in what order they teach maths and go by that. Keep programming and try to find ways to apply what you're learning, and eventually you'll do just that with linear algebra.
Also, don't skip too many parts, thinking they are not relevant to rotating a 3D object. Maths is wonderfully intertwined, and starting with a strong foundation, new things in maths will be "obvious" rather some something you need to cram or constantly look up (i.e. "the reason for this expression is this, so the answer to my question is that" vs "was it this or that, wikipedia help!").
You want to generate a random point (x,y) for a player that owns the chunk of circle between 0deg-15deg and your circle radius is 1 unit...
Randomly generate a vector as a length of 0-1 and an angle between 0-15deg.
The end point of that vector will be
x = L * cos(angle)
y = L * sin(angle)
You need to watch the convention of the sin/cos function you are using with regards to degrees vs radians.
Note that this will create a higher density of points close to the center of the disc. If you'd prefer a uniform distribution of points in the xy-plane, either generate (x, y)-pairs until one point falls within the circular sector of the player of interest, or scale the points by sqrt(L):
To indulge the OP:
A good friend of mine started using Linux many years ago after having seen me tinker. He currently lives with his fiancee who plays the organ in a church and pretty much organizes any music (the choir, inviting "classical bands" some nights etc). They have at least 5 PCs or so (a media server, media player, one or two office computers and a laptop, he's a collector), all running Ubuntu (I think he is trying Arch on the laptop atm) during the day with the power horses dual booting to Windows for hefty games. Even though his fiancee is not a computer monster (she does what "normal people do" on computers), she really likes Ubuntu and have no issues or complaints about it. My good friend takes care of tech related issues anyway, and afaik that's a rather lazy "job". Wouldn't dare say this is the reason they love each other, but they both use Linux and they live a happy life together.
For the nervy people: She is really pretty too... And does not smell funny!
There are a few things you can do to compress the storage: *) Non uniform zenith angle, use more detail at the horizon, can reduce # verts to at most 60-70. *) Reuse color sets, use one "day color set" and one "night color set" for several hours, 8 color sets should suffice. *) As joe_bubamara stated, you don't need 32 bits precision, or even 24 bits since you interpolate, you will get all possible colors anyway. *) From the good old links by filousnt, skip azimuth dependence for color and modulate brightness.
Let's say you have a 12*5 skydome, 8 color sets, 16 bits of color precision and zenith only dependence. With all the above it'd take 5*8*2 bytes = 80 bytes. For the entire skydome, 12*5*8*2 bytes = 960 bytes. A couple of years ago I specified 4 angles for azimuth and interpolated between, 4*5*8*2 bytes = 320 bytes. | 677.169 | 1 |
Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.
Focus teacher's support pack. Years 10/11, Algebra.
One of the teacher's support packs for use with the "Century Maths" series for National Curriculum Years 10/11. Each pack includes information on the corresponding Theme or Focus book, ideas for problem-solving, detailed computing support and advice on cross-curricular links.Read more...
Using the teacher's support packs; problem-solving; keeping the records straight; guide to the completion of "Century Maths" record sheets; Year 10/11 pupil summary page; equipment and materials for "Century Maths"; flagging of activities in pupils' texts; summary of units. | 677.169 | 1 |
Secret Codes - A Cryptology Activity
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1.85 MB | 8 pages
PRODUCT DESCRIPTION
Algebra 2 Honors, PreCalculus: Secret Codes- A Cryptology Activity
This is a fun diversion about encoding and decoding messages using a coding matrix. Students need to find the inverse matrix as a first step to decoding the messages. There are 12 coded message cards in the exercise that can be used as an independent practice or as a group activity. An extension assignment is also included.
The activity will help your Algebra 2 Honors or PreCalculus students understand the concepts of inverse operations on matrices in a fun and engaging setting. A student recording sheet and answer key are also provided. please contact me by email me at: jean@j-adams | 677.169 | 1 |
Calculus--Basic Integral Answer Hunt
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0.53 MB | 16 pages
PRODUCT DESCRIPTION
Are you tired of students just sitting around doing book work or worksheets? Then my Answer Hunt activities are for you. Students must work with partners to "hunt" for answers to various problems around the room.
This activity has basic integrals. Using no more than the integral power rule and trig integrals, students will work to find the integrals of various functions.
Students start with a poster and complete the integral on the provided sheet; they then search for the poster that matches that answer. They then do the integral there. You get the idea now, right | 677.169 | 1 |
algebra 1 lesson Archives - ItsMyAcademy.com
In this 3rd lesson of Language of Algebra we will learn new term called – Algebraic Expression with variables. You will understand what are called expression and how they are formed by using variables in mathematics. It is very helpful for pre algebra learning students. If you have any doubt or question regarding this algebra 1 […]
"Algebra 1 " course is designed for the students who are learning either pre algebra or algebra 1 in their school. They can use our Algebra 1 lessons online for free for their reference. Any doubt or question regarding the lessons, you are free to ask below the lesson in question answer section. I will […] | 677.169 | 1 |
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Saxon Calculus with Trigonometry and Analytic. On either website, users simply click on the image of a particular textbook to find the solutions for that book. Where can you find the answers to Holt, Rinehart and Winston science worksheets? Please reload the page. Geometry Practice and Problem Solving Workbook. Author: Laurie BurtonAlbert BennettTed Nelson. The website features millions of solutions to problems found in the most popular textbooks in the United States.
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You May Also Like. What makes baby girl names popular? Advanced Mathematics: An Incremental Development. Where can you find the answers to Holt, Rinehart and Winston science worksheets? Each answer shows how to solve a textbook problem, one step at a time. Author: Vikki R MaurerGary L MusserLynn E Trimpe. | 677.169 | 1 |
Product Overview
Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this book discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. First-Order Differential Equations; Mathematical Models and Numerical Methods; Linear Systems and Matrices; Vector Spaces; Higher-Order Linear Differential Equations; Eigenvalues and Eigenvectors; Linear Systems of Differential Equations; Matrix Exponential Methods; Nonlinear Systems and Phenomena; Laplace Transform Methods; Power Series Methods. For future math majors, engineers, or scientists that have taken two or three semesters of Calculus. | 677.169 | 1 |
Diagrams, charts and graphs
Diagrams, charts and graphs
Introduction
This free course has two aims: firstly, to help you read and interpret information in the form of diagrams, charts and graphs, and secondly, to give you practice in producing such diagrams yourself.
To start you will deal with interpreting and drawing diagrams to a particular scale. You will then learn to extract information from tables and charts. Finally you will learn to draw graphs using coordinate axes, which is a very important mathematical technique.
This OpenLearn course provides a sample of level 1 study in Mathematics [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] . | 677.169 | 1 |
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Revise and Remember: Concentrate the mind
Would you / your teenager like a little help to revise and remember more easily? This four-track, self help hypnotherapy recording for students 12+ years and adult students could be just what you need if you are undertaking a course of formal study. You learn useful accelerated learning techniques for improving revision and recall, planning your time, active learning and self-testing. You also receive positive suggestions for calm, confidence, focus and concentration plus increased motivation to get down to your revision without delay.
Jagadish S Nadig says:"Powerful"
Publisher's Summary
How to Achieve in Maths is written by the owner of the YouTube channel Achieve Maths. The purpose of the audiobook is to inspire students of mathematics with a fresh approach to the subject and to help them in their journey of achieving their full potential in maths. It is suitable for those preparing for their GCSE maths or A-level maths exams or simply those who want to see maths education from a new perspective.
Many students see maths as inaccessible and difficult; I see it as exciting and enticing. Why are there such differing views of the same thing? Why do some people dread numbers and anything maths related while others thrive on the challenges of the subject? In this audiobook I aim to address these inconsistencies and look at how to see maths in a way that will allow you to enjoy your studies and work toward success with purpose and determination.
PLEASE NOTE: When you purchase this title, the accompanying reference material will be available in your My Library section along with the audio. | 677.169 | 1 |
97803064739 Introduction to Nonlinear Analysis: Theory (v. 2)
An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors.
The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research | 677.169 | 1 |
Why is algebra important in the real world? The first reason algebra is important in the real world is because people use algebra every day in their jobs. Having the ability to learn and do algebra will probably help you exceed into the job you want to do one day. Most people do not realize that algebra is used almost every day in adult life. Some examples of obvious jobs that use algebra are engineers, mathematicians, teachers and scientists. I believe everyone uses some sort of algebra in their jobs or their daily life adventure whether they know it or not.
Algebra is a huge part of our lives. Whether we drive a car and need to calculate the distance and mileage of a trip. Working out equations of how many miles per gallon your car will get is also a very important daily issue. What is you are working in a retail store as a cashier, would you use algebra? You would use algebra to determine coins and bills in change you use. In that case, the different bills and coins are your x's and your y's. Most people want think of that as algebra but that's what it is.
There are some jobs that you would not think that would use algebra. Algebra can be used to determine what dimensions to use to make a box with a given volume and use the least material possible. A carpenter uses algebra in order to calculate the area of a space in order to buy supplies, calculate estimates for jobs, measure and cut supplies need to correctly to a job. A carpenter will also use algebra to build and estimate space needed for installation of appliances and objects. Also He uses it to find the angle at which two walls are put together, how long he must cut how many pieces of wood. How much cement he needs to go with the 30 yards of sand and gravel that was just delivered for a slab of a given size. When it comes to figuring anything you use some form of algebra. From your cost of a product, volume, area or dimension, math is used. All jobs from the President of the United...
YOU MAY ALSO FIND THESE DOCUMENTS HELPFUL
...feel that math is important in everyday life. I do agree with Mr. Cohen in the sense that there are many aspects of Algebra that the majority of people do not use on a daily basis. I think that this fact is what leads people to the false conclusion that Algebra is useless.
To better understand our topic, let's define what we mean when we say "Algebra". Webster's dictionary defines Algebra as "a form of mathematics dealing with symbols and equations." A guest in the mathematics forum on xpmath.com states that "…the truth is that Algebra is not much more than arithmetic expanded to the point where you don't have to do trial and error to get an answer." This guest goes on to explain that "…if you view it from that perspective, and overlook the outdated nature of some problems' data, then you'll recognize that indeed math deserves a place in your career; the more competent you can become with it, the better you'll be able to competently manage you life." I wholeheartedly agree with the preceding statement.
However, I'm not completely certain that math is THE MOST important subject we'll ever learn; I believe that English quite important as well.
Math describes how everything in our environment works. A working knowledge of mathematics enables us to make accurate measurements and predictions. Since Algebra uses letters to represent numbers, it...
...Algebra in Business and Science
Algebra is used repeatedly in business and science for professions ranging from accountants to astronomers and physicists.
The fundamental algebraic equation in accounting is assets = liabilities + capital. Accountants use this equation to balance the books. They also use algebra to calculate journal entries for interest payments and depreciation (Moore, n.d.). To analyze and work with numbers, accountants also need to understand positive and negative numbers, fractions and decimals.
Other businesses that use algebra include retail stores, car dealerships and restaurants to name just a few. Each of these types of businesses sells a product and needs to calculate percentage discounts, sales or meals tax and profit margins.
For science, algebra is used in astronomy, physics and chemistry. Astronomers and physicists use algebra to research and understand the universe. They observe, measure, interpret and develop theories to explain what is happening in the universe (US Bureau of Labor, 2009). One way that chemists use algebra is when mixing together chemicals. They need to calculate the correct amount of each substance to obtain the desired result.
Algebraic Concepts in Everyday Life
The following are examples that I learned from the course discussion board of different ways that algebra can solve everyday life...
...Why is religion important in the world today?
Religion by definition means 'a specific fundamental set of beliefs and practices generally agreed upon by a number of persons or sects'. It is the way by which people willingly chose to live their lives and makes decisions. People in the world today have many religions and varying beliefs. Broadly speaking the major world religions have lots of similarities in that they all teach goodness and provide a way by which humans can live in peace with each other and the environment. Religions also contradict each other in many aspects. Many wars take place in the world due to these fundamental contradictions. Some followers want their religion to prevail over others while others dont consider this.
In an ideal world if there was a world constitution emanating from religious or divine instructions and people were determined to follow this way then the world will benefit. For example if human being were to live in peace by sharing valuable resources and being kind to one another peace would prevail. This is one reason why religion is important considering the current state of the world today.
On the other hand a religion which considers its followers superior to others will create more bad than good in todays world.
Why is showCami Petrides
Mrs. Babich
Algebra Period 4
April 1, 2014
Extra Credit Project
12. When you flip a light switch, the light seems to come on almost immediately, giving the impression that the electrons in the wiring move very rapidly.
Part A: In reality, the individual electrons in a wire move very slowly through wires. A typical speed for an electron in a battery circuit is 5.0x10 to the -4th meters per second. How long does it take an electron moving at that speed to travel a wire 1.0 centimeter, or 1.0x10 to the -2nd?
Part B: Electrons move quickly through wires, but electric energy does. It moves at almost the speed of light, 3.0x10 to the 8th meters per second. How long would it take to travel 1.0 centimeters at the speed of light?
Part C: Electrons in an ordinary flashlight can travel a total distance of only several centimeters .suppose the distance an electron can travel in a flashlight circuit is 15 centimeters, or 1.5x10 to the -1st meter. The circumference of the earth is about 4.0x10 to the 7th meters. How many trips around the earth could a pulse of electric energy make at the speed of light in the same time an electron could travel through 15 centimeters of a battery circuit in 5.0x10 to the -4th meters per second?
For part A, the first step is to put (5.0) to the 10th to the -4th. The numerator would be (0.00050) if someone were trying to put 5.0x10 to the -4th in the form it's supposed to be in. For the second scientific...
...Where will I ever need algebra? Where do you need square roots? When will I ever use the Pythagorean Theorem? Will algebra even be 'relevant' in the future? These are a few of the many questions that one asks when they have to take an algebra course. This is a required subject in most colleges to further ones education. The first year of algebra is a prerequisite for all higher-level math: geometry, algebra II, trigonometry, and calculus. It is quite true, while many people get by without an education in algebra, whenever they pick up the phone, manage their money, travel to some other place, they are unintentionally using math.
Algebraic expression is such as square roots and Pythagorean Theorem scare people when they see them. These are something they do not see the need for. In any kind of job that deals with triangles; for example, it is needful for carpenters, engineers, architects, construction workers, those who measure and mark land, artists, and designers to know the square root. They need to understand the concept of square root in order to understand other math concepts. Studying math is like building a block wall or a building: you need the blocks on the lower part so you can build on them, and if you leave holes in your building, you can't build on the hole. Surveyors, cartographers, and assessors are probably the most obvious in its need for the tools to determine length...
...Why is agriculture important in the world of today?
Since the dawn of history, agriculture has been one of the important means of producing food for human consumption. Today more and more lands are being developed for the production of a large variety crops. In Asia, vast areas of land are being used to produce rice, wheat, rubber and a variety of other crops. In Asia, vast areas of land are being used to produce rice, wheat, rubber and a variety of other crops. More than half of the lands occupied and developed by human beings in the world are devoted to agriculture.
That agriculture is one of the most essential means of producing food is realized easily when we think of the types of things that we eat. The rice or wheat that we eat comes from the land. Even potatoes and other roots or vegetables and even leaves such as tea, as well as the fruits that men eat are the products of the soil that covers the earth. In fact, everything that we eat except meat, fish and other kinds of flesh comes from the land and what grows on the land is part of agriculture. Even the sugar, oil, coffee and other beverages that we use are products of plants that grow on the land. In the same way, many of the medicines that we use are made of plants that grow in various parts of the world. The tobacco that we use for relaxation also comes from a plant.
Thus, it can be easily observed that without Algebra Is Important in the Real World","additionalIds":[7,93,3,19],"additional":["Education","Education\/Greek System","Business \u0026 Economy","Natural Sciences"],"loadedPages":{"html":[],"text":[1]}},"user":null,"canonicalUrl":"http:\/\/ | 677.169 | 1 |
Based on over 15 years experience in the design and delivery of successful first-year courses, this book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management and business studies. The book starts with a summary of basic skills and takes its readers as far as constrained optimisation helping them to become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems in economics and finance. Designed as both a course text and a handbook, the book assumes little prior mathematical knowledge beyond elementary algebra and is therefore suitable for students returning to mathematics after a long break. The fundamental ideas are described in the simplest mathematical terms, highlighting threads of common mathematical theory in the various topics.
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The book of Teresa Bradley has established itself as one of the best introductory textbooks in mathematics for departments of Finance and Administration. Combining a user friendly approach of matter with many practical applications, it offers the reader a comprehensive and complete guide. The basic mathematical concepts are explained in a simple and affordable manner, and with the use of many examples and applications lysed.
In pedagogical book features include:
- Target at the beginning of each chapter - An action plan for understanding and adequacy of content - Exercises of progress and solved examples for the consolidation of matter - Additional useful material on the Internet (links.kritiki.gr/math-bradley)
The application includes: - The detailed contents of the book - Definitions of key terms by chapter - Glossary - Important passages - Paintings and pictures of the book - The identity of the book | 677.169 | 1 |
College statistics math
Hosts a college search, admissions advice and educational planning tools, such as career assessment tests. Reports current school rankings as well. Courses for Middle School, High School and College Conceptual Videos on Core Math Topics Lectures on Math and Science Resources and information to support K–12 and higher education professionals in helping students prepare for college and career.
DeVry University offers on campus & online college courses and degrees. Enjoy flexible scheduling with online university classes that start every 8 weeks. Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.
College statistics math
May 27, 2014 · The pay gap between college graduates and everyone else rose to a record high last year, suggesting there are too few graduates. Hosts a college search, admissions advice and educational planning tools, such as career assessment tests. Reports current school rankings as well. Our Pre K-12 education instructional resources, curriculum materials, digital learning tools and assessments help to educate children across North America Saylor Academy provides free and open online courses and affordable college credit opportunities to learners everywhere. Start your course today! Official SAT Practice: Free SAT preparation through a college readiness partnership with College Board and Khan Academy
ClassZone Book Finder. Follow these simple steps to find online resources for your book. Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math. AP Central Meta Description --> Course materials, exam information, and professional development opportunities for AP teachers and coordinators.
PSA Oct 17, 2016 · Earn your Penn State degree online. Penn State's World Campus offers accredited online college degrees and certificate programs. Learn more about our. AP Central Meta Description --> Course materials, exam information, and professional development opportunities for AP teachers and coordinators. | 677.169 | 1 |
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Linear A Level Maths Conference 2017
We are pleased to announce that our new AS/A Level Mathematics B (MEI) qualifications are accredited for first teaching in 2017.
OCR AS and A Level Mathematics B (MEI) have been developed by Mathematics in Education and Industry (MEI) and are assessed by OCR. This is a well-established partnership that provides a firm foundation for curriculum and qualification development.
MEI is a long-established, independent curriculum development body. Through development MEI has consulted with teachers and representatives from Higher Education, enabling these qualifications to best meet the long-term needs of learners. MEI provides advice and CPD relating to all the curriculum and teaching aspects of the course, along with teaching resources for these specifications from
A selection of new resources from MEI for the new Maths and Further Maths A Levels can be found below under 'External Resources'.MEI A Level Mathematics Year 1 (AS) 4th Ed Student eTextbook
eTextbook
Description
Student eTextbooks are downloadable versions of the printed textbook. The Student eTextbooks link seamlessly with MEI Integral A-level Mathematics online resources, allowing you to move with ease between corresponding topics in the eTextbooks and Integral. Encourage every student to develop a deeper understanding of mathematical concepts and their applications with textbooks that draw on the well-known MEI (Mathematics in Education and Industry) series, updated and tailored to the 2017 OCR (MEI) specification and developed by subject experts and MEI. | 677.169 | 1 |
Full AS+A2 in Mathematics (Maths)
£315.00
Online Enrolment
Available Options:
Course Material Format:
Oxford College is pleased to offer the Edexcel A Level in mathematics.
The study of Mathematics is highly respected by Universities who look favourably on applicants who can demonstrate knowledge in this subject. In addition the Oxford College course in mathematics will help you to; to gain knowledge and understanding of Mathematics direct study of the original sources. It will encourage and develop your enthusiasm for maths as well as give you the chance to form your own personal responses to the set texts chosen for study. It will help you to further and enhance your mathematics and evaluative skills such as geometry and algebra and other additional tools to like the mechanics based questions, to use with the kinematic equations.
The AS maths course is organised in a modular format and spans Core modules (C1 and C2 and later C3 and C4 for A2 maths) and Mechanics modules (M1 and later M2 for A2 maths). The course aims to develop a deeper understanding of some of the most important topics in mathematics which play a crucial role in the world around us, in everything from technology to our understanding of the universe. The course builds upon existing knowledge as well as introducing completely new and challenging topics.
TheThe AS Units
Unit 1 - C1 introduces the topic of differentiation which is the cornerstone of the solution to many real world mathematical problems. The course also includes modules on polynomial equations and deals with ways of manipulating these expressions. The course also looks at graphing these functions and considers turning points, intersection and the behaviour of graphs at extreme values. Tools in understanding co-ordinate geometry are also developed, specifically looking at the multiple forms of an equation of a straight line and graphical rules for translation, and reflections. The concept of surds and rational and irrational numbers is also introduced.
Unit2 - C2 builds on your algebra skills and teaches you how to simplify expressions as well as a new take on long division to enable you to perform division on functions which contain variables and teach you how you can use the factor and remainder theorem to quickly get to the correct answer. Your knowledge of trigonometry will be enhanced by learning about the Radian and the course considers the graphs of trigonometric functions and how you can think about problems graphically. The course also introduces some trigonometric identities and equations. The topic of co-ordinate geometry looks in more depths at circles and we introduce the concept of a geometric series. Integration, as the inverse of differentiation is also introduced giving you a powerful set of tools to tackle a wide range of mathematical subjects.
Mechanics 1- M1 The Final module is M1, this is concerned with the mathematical models used to describe real world physical systems. The first topic on Vectors looks at how we can represent physical objects and their properties and interactions in a mathematical way. The next topic termed Kinematics looks at how we can represent a particle moving in a straight line and introduces the constant acceleration equations which relate its speed at different times to its acceleration. Statics of a particle considers forces acting on an object and the notion of equilibrium and the effect friction plays in this. The subsequent topic of Dynamics bring the previous 3 topics together and looks at the more complex case when an object is moving and subjected to different forces and resultant accelerations and the course considers the concepts of impulse and momentum and we also explore how connected particles and pulleys can be used in a system
The A2 Units
The A2 maths course builds upon material previously learnt in the AS course to develop a more detailed understanding of some of the most fundamental and important concepts in mathematics, as well as introducing some new yet equally valuable and fascinating topics. Like the AS course the A2 course has 2 pure maths units: Core 3 (C3) and Core 4 (C4) and an applied maths unit Mechanics 2 (M2).
As with the AS course theUnit 3 - C3 includes a module on algebraic fractions which further develops students' abilities to manipulate and simplify algebraic equations which is useful across almost all other topics in mathematics, the topic also covers algebraic long division, applying a method first taught in primary school and adapting it for algebra. The concept of functions and relations is also introduced as well as the exponential and log functions which have application in almost every area of science and are used to model the world around us. The Numerical methods topic introduces students to iterative approaches to solving equations, giving them a new tool in their tool kit to approach mathematical problems. Graph transformations of functions builds on the material in the AS course but in the context of the newly learnt material on functions and relations and helps draw these topics together to allow students to see connections between seemingly disparate subjects and illustrates the interconnectivity on many mathematical topics. There is a further chapter on trigonometry which builds on the previous work in the AS units but takes students understanding to a deeper level by introducing the inverse trigonometric functions and in Differentiation students learn how to use their skills to tackle ever more increasingly complex functions.
Unit 4 – C4 The C4 course is the most advanced pure mathematics course in the series, it contains further topics on integration and differentiation which builds upon everything in C1,2 and 3 as well as multiple other topics such as trigonometry and some of the graph drawing topics to bring acquired knowledge throughout the course together. Partial fractions is also introduced which is a way of breaking apart fractions with polynomials in them which is typically the converse of how students work to simplify problems in previous topics. The binomial expansion is also taught and proved which is an elegant way of expanding brackets which include high powers and students are shown how the binomial coefficients appear as the entries of Pascal's triangle. The topics of vectors and coordinate geometry are also relevant to the Mechanics courses and provide students with a way of visualising certain problems.
Mechanics 2 – M2 The final module is M2, this very much builds upon the subjects covered in M1 while introducing new concepts such as work, energy and power to give students additional tools to deal with mechanics based questions to use with the kinematic equations. The equations for a particle moving in a straight line can be understood in terms of energy transfer which allows students to consider collision scenarios. The course also covers centres of mass and statics of a rigid body to further enhance students understanding of this interesting area of study.
Examinations are held each year in the months of May through to July. undertaking | 677.169 | 1 |
Welcome Mary.
Mary first posted her question on my blog post about ISTE, so I sent her
here, thinking of the work that many of you have been doing. In addition to
Kirby, Andy Harrington has been looking at Python and algebra and I know
there were others.
I hope some of us can help you out.
Cheers,
Vern
On Thu, Jun 30, 2011 at 12:50 AM, kirby urner <kirby.urner at gmail.com> wrote:
>> Hi Mary --
>> Many subscribers to edu-sig have developed interesting approaches over the
> years.
>> There's a lot of interest in turtle art and/or turtle graphics. There's
> this tendency to divide algebra from geometry, whereas some teachers think
> it's important to keep lexical and graphical connected.
>> To that end, my pre-algebra tends to focus on numeric sequences that have a
> clear geometric meaning (like triangular and square numbers, but I also take
> it into volume and growth sequences in space -- polyhedral numbers some call
> these sequences).
>> You'll get the flavor my approach from the Oregon Curriculum Network web
> site, this page in particular, and this essay in particular:
>> I'm guessing others will chime in.
>> Python's 'How to Think Like a Computer Scientist' literature, a free
> syllabus, is not inconsistent with developing skills in algebra.
>> If you want to be more serious and formal about "object oriented" and link
> in a notion of "math objects", I recommend spiraling through the same or
> similar material with that in mind.
>> They may not be ready for vector objects tomorrow, but perhaps the day
> after.
>> Polyhedrons are stellar objects because they're both abstract and concrete
> in their properties and behaviors.
>> Algebra and geometric shapes are good friends, or should be, starting with
> such as V + F == E + 2.
>> Kirby
>>> On Wed, Jun 29, 2011 at 4:15 PM, <mary.dooms at comcast.net> wrote:
>>> I teach 6th grade math and Python was suggested as a way to apply
>> pre-algebra concepts in a programming context. My programming background
>> consists of one C++ programming class. How do I begin? Are lesson plans and
>> small programs available, for example, where students could write and "drop
>> in" a script that includes integers and the output would not only calculate
>> it, but see the relevance of it in a real world situation?
>> *
>> *
>> *Or, perhaps, the program controls a "wheelchair" robot and students
>> would write scripts to drive the robot at a certain speed considering the
>> slope of a ramp?*
>> *
>> *
>> *As you can see, I am a novice, but I see great potential and am willing
>> to learn.*
>> *
>> *
>> *Thanks,*
>> *
>> *
>> *Mary*
>>>> _______________________________________________
>> Edu-sig mailing list
>>Edu-sig at python.org>> _______________________________________________
> Edu-sig mailing list
>Edu-sig at python.org>
--
Vern Ceder
vceder at gmail.com, vceder at dogsinmotion.com
The Quick Python Book, 2nd Ed -
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This workbook supports the new Key Stage 3 Programme of Study for Maths, providing focused skills practice for all the topics relevant to students in Year 7. It will help to reinforce key skills and build mathematical fluency.
This revision guide for Key Stage 3 Mathematics contains in-depth course coverage and advice on how to get the best results in the Year 9 National Test. It has progress check questions and exam practice questions.
This new edition has been updated in line with the latest tests. It continues to provide a comprehensive approach to exam success with its combination of study support and exam practice. It also contains the latest test marker's comments.
This workbook supports the new Key Stage 3 Programme of Study for Maths, providing focused skills practice for all the topics relevant to students in Year 8. It will help to reinforce key skills and build mathematical fluency. | 677.169 | 1 |
Math B is required to receive a High School Regents Diploma with Advanced Designation in the State of New York. (These tips are equally important for students in England)
Steps
1
Listen to your teacher. The first time your teacher explains something will probably be one of the only times, so you will want to be part of it.
2
Do your homework thoroughly. Instead of rushing through your homework, take the time to actually think everything through. Don't lose unnecessary points just because you made some stupid mistake that you would not have made if you had not rushed.
3
Don't be afraid to use your calculator. If you're allowed to use it, that means that you will probably have to, or you wouldn't be allowed to use it.
4
Learn how to use your calculator. Even if it will solve anything you'll encounter, not knowing how to get it to solve anything will be a definite setback.
5
Create a small study group. You can help each other through things you don't understand.
6
Ask questions. As long as you're not ignoring them, most teachers would be happy to re-explain something if you don't get it; it shows you actually care.
7
Get a tutor, if necessary. If some of the concepts just don't make sense, you might need one-on-one help from someone.
8
Use mnemonics to help remember trigonometric formulas. You'll probably remember something like SOH CAH TOA better than "Sine equals opposite over hypotenuse, etc." Here are a few to get you started:
Si si co co si(si is pronounced like "sine" without the n): Sin(x+y) = sin(x)cos(y) + cos(x)sine(y). Remember that the operation in the parentheses of the initial sine will be the same as the operation on the other side.
Co co co si si: Cos(x+y) = cos(x)cos(y) - sin(x)sin(y). Remember that the operation in the argument of the initial cosine will be different than the operation on the other side.
9
Find other learning sources. Sometimes, if something is explained in a different way, understand it better. | 677.169 | 1 |
1-Month Free Trial
Math can be hard, but it doesn't have to be. I make math courses to guide you through everything from math's Fundamentals, all the way through advanced Calculus, and I walk with you along the way.
Because you're here, I want to offer you a special 1-month free trial of Calculus Expert.
The trial gives you access to every course in my course library, featuring over 100 hours of video tutorials, plus lecture notes and tons of quiz questions. Together, the resources inside these courses will be your success roadmap: a step-by-step path to crushing your math class.
This special trial is completely free, and it's for people like you who are interested in doing better in their math class without having to search everywhere to get help.
If you stick around after the trial, the monthly membership is just $27/month (less than just one hour of tutoring), which gives you access to the courses, quizzes, and support which I'll explain more about below.
.01
So math... it can be kind of challenging at times can't it?
But you know what? It's not a problem if you're not head-over-heels in love with solving for x.
Really, it just means you're in good company with at least 85%* of the rest of the population who also have a tough time with math.
*My own estimate—not based on official research. But let's be honest, it's probably 85% or more.
But it does become a problem when your annoyance with solving for x gets in the way of following your dreams.
Like when failing a math class means you won't graduate on time. Or when math is so hard that you have to change majors. Or when you know you've got no chance at a decent GRE score to get into that grad school program you've been lusting after for years.
When things like that happen, it's just not fair. We all deserve to achieve our dreams—math nerds or not.
It's why I started working as a math tutor in college. And why, even though I graduated with a degree in psychology, I kept tutoring math via YouTube.
I loved helping students uncover those little "Ah-ha!" moments when math theories actually clicked for them enough to pass their tests, so I didn't stop.
And while YouTube videos were a great first step towards helping lots of students at once, I knew I could help students uncover even more of those "Ah-ha!" moments with things like:
Formula cheat sheets that make math terms way less confusing
Notes that show you what's essential to remember, what's safe to forget, and slash study time significantly
Quizzes to make sure you "get it"
An open Q&A where I can answer questions when things don't totally click
So I created CalculusExpert.com.
.02
Get ready to pinch yourself, because math really can be this easy.
I've helped students who would inevitably fail squeeze by with a grade 10% higher than the one they needed to pass. And people who failed high school math get accepted at prestigious universities for degrees in mathematics.
I don't say stuff like that to brag, just to be totally honest with the fact that math is possible to figure out, and even if you feel like you're cursed in that area, there is still hope for you.
Even if you're not a math whiz, math can still be easy for you.
Yes, even if you're in a Calculus III class and everyone else in your class is failing miserably.
Whatever reason you're taking math classes for—to become a scientist, doctor, or just complete the math requirements for your liberal arts degree—there's one fact you can't run away from: you've got to pass this class or change your major.
And if you change your major, you'll also have to change your life plans.
Which is so not fair.
.03
Because your dream isn't a partial derivative. And it shouldn't be as hard as one, either.
I have students from all walks of life studying inside Calculus Expert:
Traditional, four-year college students who just need to pass a class to graduate on time
High school students in the running for valedictorian status (and all the scholarships that entails)
Students who need to keep their grades up to keep their scholarship money
People studying for the GRE so they can get into grad school
Professionals who want to change their career path, but need a foundation in math to make that happen
And here's how Calculus Expert has helped them:
"Not only reinforces what was covered in class, but also speeds up the time it takes to complete homework."
"I'm an almost 40-year-old mom of 3 that went back to school to be a math teacher… with one night of studying before my final a week and a half ago, you helped me go from being 100% in the dark to [passing my test] with an 87%!! Never in my wildest dreams did I even think I would have done that well on that midterm."
"I passed my exams and was subsequently accepted to study a BSc Mathematics and Economics degree at the University of London. All this at the age of 34, after failing math in high school."
"At one point during Calc II I thought about dropping math entirely from my schedule, but since joining Calculus Expert, I've added a math minor."
"My first two term tests were 31% and 33% after the curve. I considered dropping the class…. I checked my marks today and I got a 73% on my exam, and I passed the class!"
"When I had a question you always got back to me in just a few hours. The way you explained the answers to all of my questions was in a way that made Calculus fun and easy… I was able to get a 97.6 in Calculus!"
And you know what?
These students are just like you.
But since they made the decision to get help instead of letting math beat them up, they passed their classes, achieved their dreams, and now have lives they wouldn't have if they'd let math get in their way.
.04
The Calculus Expert courses
.05
What you get inside of Calculus Expert
Here's what you get access to when you sign up as a student of Calculus Expert:
Every single math course I've ever made
The fundamentals of middle school math all the way to advanced calculus. Access to every course and lesson you need to ace your class.
1.
2.
A structure that makes sense
An optimized course flow to make studying and homework faster. So you "get it" in less time than you would figuring things out on your own.
3.
Open Q&A sections
Still don't understand something? I check into the Q&A sections of the courses at least once every weekday. Ask away. I'm happy to help.
And here's what you get inside of every single lesson:
Videos
Watch over my shoulder as I solve problems for every single math issue you'll encounter in class. We start from the beginning. I explain the setup and why I set it up that way, the steps I take and why I take them, how to work through the fuzzy middle parts, and how to simplify the answer when you get it.
Notes
The notes section of each lesson is where you find the most important things to remember. It's like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don't.
Quizzes
When you think you've got a good grasp on a topic, you can test your knowledge without affecting your grade by taking one of our quizzes. If you pass, wonderful. If not, you can review the videos and notes again, or ask me for help in the Q&A section.
Below each lesson there's a place for you to ask me questions. Anything goes, as long as it's math related. There's even a function for you to upload a picture of your work to show me exactly what you're getting hung up on.
Plus, I've made all of the videos, notes, and quizzes specifically for non-math minded people.
.06
Hi, I'm Krista. The nerd behind all these magical math tricks and the tutor that walks you through every single Calculus Expert lesson.
I've always been kind of nerdy… when I was young, my dad would entertain me by writing out math problems on napkins for me to solve.
And rather than having this huge, insatiable love for math, the thing I loved was reverse-engineering the information available to solve a problem that seemed tough, but actually wasn't.
In college, I majored in Psychology, but found myself translating the skills I used on those napkin problems to help me in Calculus.
For most students, college-level Calculus is a big deal. It's hard to understand. And tons of students have to get extra help or retake it.
And while I personally enjoyed math, I hated hunting around in my textbook for missing information, or spending huge amounts of time solving problems that I knew should have been more straightforward.
I looked at what my professors were teaching, took out the confusing vocabulary, noticed patterns in how the problems were actually solved, and eliminated all the confusing theory.
And it worked. I passed with flying colors.
And when I finished, I worked as a tutor to help other students pass their math classes, too. I was surprised at how well the students I tutored performed on their tests compared to the rest of their class.
And even though I graduated with a Psychology degree, I still wanted to tutor. I started making some simple calculus videos for YouTube, and was floored at how much I could help people… and how many people I could help with just one video.
Watching my YouTube channel grow to thousands and thousands of subscribers gave me the idea to take my online tutoring to the next level.
So I started Calculus Expert, where I teach math students easier ways to think about and solve hard math problems, helping them pass their classes with good grades and graduate on time.
I also really wanted to start it because I noticed there wasn't anything out there exactly like Calculus Expert.
There's certainly plenty of virtual math tutors for hire, but most of them follow a traditional textbook method. And none of them offer you unlimited hours and subjects of tutoring for only $27 per month.
.07
What Calculus Expert helps people like you achieve
I get a lot of students telling me that hard math subjects FINALLY clicked for them after they watched my videos and read through the non-gibberish course notes.
I'm addicted to seeing people uncover those "Ah-ha!" moments, and I've made sure that every single lesson will deliver that same feeling of immense relief, giving you the easiest experience with math that you've ever had.
Yes, the easiest experience with math you've ever had.
(Except for maybe those subtraction "problems" you solved in Kindergarten by eating Skittles.)
Math is hard. That's no kind of understatement.
So I teach you how to learn math in a non-math way your brain can actually handle.
I might not use the exact same wording as your professor, but I'm guessing you don't care. (I'm also guessing that's why you're here in the first place.)
Inside of Calculus Expert, I teach you the techniques I learned for myself that made math easy for me. Everything's still 100% technically correct and sound and will get you the right answer… it's just an approach that looks at math from a non-number crunching perspective.
Teachers & Professors
Before Signing Up
1. Is this just for people taking calculus?
No.
Though the site is called Calculus Expert, I've expanded way beyond calculus and have math tutoring courses with levels as early as middle school level math.
I do have a higher focus on the harder math courses because that's what most people have the hardest time with, but the modules help anyone struggling with Pre-Algebra, Algebra, Geometry, Trigonometry, Calculus, and advanced math.
2. Can't I just get all of this on your YouTube channel?
My YouTube channel is a great resource for quick help to understand math concepts, but it lacks a lot of what makes a subscription to Calculus Expert truly worthwhile, especially if you're really trying to conquer math.
For example, Calculus Expert students get access to notes, quizzes, and formula sheets that often make the difference in kind of getting a math concept enough to maybe pass, and the confidence to walk into the exam room knowing you're going to own it.
Also, the YouTube videos aren't necessarily organized in a manner that's meant to be connected. They're all quick help videos organized by topic, but you can't really dig your fingers in and explore a topic from front to back on my YouTube channel like you can in the course library.
3. What makes your approach to math different? Aren't you just re-explaining the textbook concepts over and over again?
You'll never see me explaining a mathematical concept or working through a problem with the same kind of gibberish, jargon-y language traditional textbooks and old school professors love to use.
In fact, the only reason I "get" math so well now was because I found ways to reverse-engineer the concepts for easier understanding so I could pass my own college math classes in my days at Notre Dame.
I didn't want math to be so hard, so I found ways to make it easier. It worked so well that I started tutoring other students with these same methods, and now I teach them inside Calculus Expert.
4. What kind of experience do you have in math, anyway?
Like you may have read, I'm not a math professor. I didn't even study towards a math degree in college.
But I did spend a fair amount of time figuring out how to make math easier for myself and the other people in my math classes. Mostly because we just wanted to pass.
But after I saw how well those methods worked for the classes I was taking, I started working as a math tutor, helping other students struggling with college-level math "hack" it once and for all so they could finish their degrees on time.
5. Why should I believe that this will work for me?
I know you might think that I'm some kind of weird math nerd with a brain that works better with numbers than most people's'.
That's definitely not the case, but you don't have to take my word for it.
Calculus Expert has helped people who failed high school math get accepted for math-based degree programs at elite universities.
It's helped adults who haven't touched math since high school earn a B on tests after just one night of studying our material.
It's helped college students who thought they had no other option but to drop a class and take summer school become so confident in math that they decided to get a minor in it.
We've helped students achieve valedictorian status that wouldn't have been possible without understanding math, and have helped countless students who were in danger of failing pass worry-free.
Pricing, Payments & Subscriptions
1. Why $27 per month?
Because I've got to pay the bills somehow.
The $27 per month you pay goes towards maintaining the website, user support, and the production of more tutoring modules and videos.
And since this is my full-time job, I pocket a little bit of it too.
2. What does the $27 per month include?
Access to all of the lessons, from basic fundamentals to brain-bending calculus.
Course notes so good they're better than your textbook. In fact, you can probably just forget your textbook.
Practice quizzes so you know when you finish a unit if there's anything you need more help on.
Formula sheets that'll help you finish studying in record time.
Access to the lesson-based Q&A area where you can ask for help if you need it, and where I'll be happy to answer. Kind of like your own personal, virtual math tutor.
3. How long do I have to subscribe for?
We run subscriptions on a month-by-month basis, so if you only need the material for a month while you cram for exams, you can choose to cancel your subscription after that time period.
4. What if I want to pause for the summer when I'm not taking any math classes?
Don't worry, we're 100% not offended that you don't want to spend your break studying math online. We get it.
That said, if you're not taking summer classes or have a semester without a math class, you can choose to pause your subscription for 30, 60, or 90 days.
While your subscription is paused, you won't have access to the material, but it'll un-pause once the set time limit is up and you'll be back in action.
Also, at any point during the pause period, you can change how long you want the pause to last, unpause completely, or cancel.
We'll send you an email reminder 7 days before your pause is up just to make sure you stay in the loop.
To pause your subscription, click on the arrow by your name in the upper right-hand corner, click on "My Account", then on the "Payments" tab, and then on the "Pause My Subscription" button.
5. What if I don't like Calculus Expert?
That's why we offer a 30-day free trial.
Which means you can try Calculus Expert for up to 30 days, and if you don't think it's going to help you pass your math classes, you can cancel with just a couple of clicks.
6. How do I cancel my subscription?
Once you've dominated math to the point that you don't have to deal with any more annoying math classes or textbooks, make sure to throw yourself a party. Because that's a serious accomplishment.
You'll also want to cancel your subscription. (Unless you just love it so much that you want to keep sending me $27 per month, which I will happily accept.)
Canceling is easy.
Click on the arrow by your name in the upper right-hand corner, click on "Settings", then on the "Billing" tab, and then on the "Cancel Your Subscription" button.
You'll have access until the end of the current billing cycle, but you won't be charged for the next month (or any month after that), and your account will be deactivated.
7. How do I change my credit card or payment method?
Click on the arrow by your name in the upper right-hand corner, click on "My Account" and choose the "Payment" tab.
You'll see options to update your payment preference.
Inside Calculus Expert
1. What's the deal with the points I see beside of each lesson?
As a student of Calculus Expert, you can enroll in as many courses as you want.
Once you enroll in a course, you'll see that each step of the course has a point value attached to it. When you complete the step, you earn those points.
Unfortunately, the points aren't brownie points. (Unless you're wanting to earn brownie points with me, in which case you can double them.) Instead, they go towards your "report card" so you can see the kind of progress you've made since you've started studying with Calculus Expert.
Winning at math can feel like a total slog, so we use the report cards as an easy way to remind yourself how awesome you are and how awesome you've become since you decided to step up and make math your little servant minion.
If it's still a no-go, fill out the contact form at the bottom of this page to get in touch with me to sort it out. And sort it out we will.
3. Can I change my password?
Yes. And there are two ways to do so.
If you're logged into your account, click on the arrow by your name in the upper right-hand corner, and then click on the "Password" tab.
If you're not logged in, click on "Sign In" in the upper right-hand corner and click on "Forgot your password?" to have a reset link sent to you.
4. Why won't the videos play?
If at all possible, try to use Chrome, Safari, or Firefox while studying through our modules.
If you're using Internet Explorer, make sure you've got at least version 9 or higher.
Sometimes videos don't play because you need to install the latest version of Adobe Flash Player or Quicktime.
If you've tried all of those things and the videos still aren't playing, let me know by sending me a message via the contact form on the bottom of this page. I'll work with you to get it sorted out ASAP.
5. I'm getting a little tired of the email notifications. How do I turn them off?
Don't want your math emails flooding your inbox?
No problem. Click on the arrow next to your name in the top right-hand corner, click on "My Account" and then click on the "Notifications" tab. There you'll be able to un-check all the notifications you don't want to see anymore.
Teachers & Professors
1. Can I use this in my classroom?
The $27 per month subscription fee is on a per-user basis. However, if you'd like to integrate these modules into your classroom, I'd be happy to talk to you about group rates or school-based licensing.
Ready to join?
Your 1-month trial of Calculus Expert is completely free, no hidden costs, nothing. If you stick around after the trial is over, Calculus Expert will cost you just $27/month, and you can cancel ANYTIME with just a few clicks, no hassle, no questions asked.
Thanks for checking out Calculus Expert today. I hope to see you inside! | 677.169 | 1 |
Discrete Optimization
Discrete Optimization
The University of Melbourne
Acerca de este curso: Tired of solving Sudokus by hand? This class teaches you how to solve complex search problems with discrete optimization concepts and algorithms, including constraint programming, local search, and mixed-integer programming.
Optimization technology is ubiquitous in our society. It schedules planes and their crews, coordinates the production of steel, and organizes the transportation of iron ore from the mines to the ports. Optimization clears the day-ahead and real-time markets to deliver electricity to millions of people. It organizes kidney exchanges and cancer treatments and helps scientists understand the fundamental fabric of life, control complex chemical reactions, and design drugs that may benefit billions of individuals.
This class is an introduction to discrete optimization and exposes students to some of the most fundamental concepts and algorithms in the field. It covers constraint programming, local search, and mixed-integer programming from their foundations to their applications for complex practical problems in areas such as scheduling, vehicle routing, supply-chain optimization, and resource allocation.
These lectures and readings give you an introduction to this course: its philosophy, organization, and load. They also tell you how the assignments are a significant part of the class. This week covers the common input/output organization of the assignments, ...
4 videos, 3 readings
Calificado: Any Integer
WEEK 2
Knapsack
These lectures introduce optimization problems and some optimization techniques through the knapsack problem, one of the most well-known problem in the field. It discusses how to formalize and model optimization problems using knapsack as an example. It then r...
9 videos
Calificado: Knapsack
WEEK 3
Constraint Programming
Constraint programming is an optimization technique that emerged from the field of artificial intelligence. It is characterized by two key ideas: To express the optimization problem at a high level to reveal its structure and to use constraints to reduce the s...
13 videos, 1 reading
Calificado: Graph Coloring
WEEK 4
Local Search
Local search is probably the oldest and most intuitive optimization technique. It consists in starting from a solution and improving it by performing (typically) local perturbations (often called moves). Local search has evolved substantially in the last decad...
10 videos
Calificado: Traveling Salesman
WEEK 5
Linear Programming
Linear programming has been, and remains, a workhorse of optimization. It consists in optimizing a linear objective subject to linear constraints, admits efficient algorithmic solutions, and is often an important building block for other optimization technique...
6 videos
WEEK 6
Mixed Integer Programming
Mixed Integer Programming generalizes linear programming by allowing integer variables, which dramatically changes the complexity of the problems but also broadens the potential applications significantly. These lectures review how to model problems in mixed-i...
6 videos
Calificado: Facility Location
WEEK 7
Advanced Topics: Part I
These lectures cover some more advanced concepts in optimization. They introduce constraint-programming techniques for scheduling and routing.
2 videos
Calificado: Vehicle Routing
WEEK 8
Advanced Topics: Part II
These lectures continues to cover some more advanced concepts in optimization. They introduce large neighborhood search, which often combines constraint programming and local search, and column generation which decomposes an optimization model into a master an9 de 5 69 calificaciones
Excellent second course in machine learning.
OK
I learned a lot in this course and it's definitely well managed and well taught by an amazing professor.
If you want to understand better optimization techniques, this is an excellent Course, the explanations and examples are one of the best, the Course is also very challenging but worth the time and effort, you will learn a lot.
Very thorough and nice course. Prof. Pascal can make even very difficult things funny and interesting!! | 677.169 | 1 |
Be sure that you have an application to open
this file type before downloading and/or purchasing.
842 KB|7 pages
Product Description
This Activity is meant to review:
1) evaluating functions,
2) determining domain and range from a
given function
3) solve literal equations for a certain
variable
Included -- set of 24 Problem Cards to cut out and an Answer card with 24 answers to the problems.
Assignment to be used after the activity for independent practice | 677.169 | 1 |
DESCRIPTION: Sigma Statistics Workbook has been completely updated to reflect the current requirements of Mathematics and Statistics in the New Zealand Curriculum. It contains a huge array of exercises that are linked to the corresponding Sigma Statistics. This makes it easy for teachers to choose, and students to remember, homework, extra practice and revision exercises that match what has been done in class. In order to provide a comprehensive package that covers all fourteen Achievement Standards, Sigma Statistics is complemented by Sigma Statistics Workbook. This workbook can be used alongside any mathematics textbook, and contains the worked examples, content summaries, and real-world, in-context problems, investigations and puzzles that David Barton is famous for - encouraging all students to gain and demonstrate a thorough understanding of mathematical concepts at NCEA Level 3. The CD contains spreadsheets and worked examples from Sigma Statistics so students can read additional explanations at home.
- If using business address pls use PO Box as do not use courier - In Stock with our supplier shipped from our NZ Warehouse - Stock image only. Actual cover art may differ - No returns on wrong items purchased | 677.169 | 1 |
About This Activity
Prerequisite: Successful completion of Geometry This course is a Dublin High School math graduation requirement. This course teaches the Common Core State Standards for Algebra II. Topics studied include equations, functions, graphing, matrices, sequences and series, coordinate geometry, conic sections, statistics, data analysis, and probability in addition to algebra concepts. The use of graphing calculator technology enhances the study of these topics. It is strongly recommended that students have their own graphing calculator | 677.169 | 1 |
Calculus hasn't changed, but your students have. Today's students have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas' Calculus, Twelfth Edition, helps your students and improved conceptual flow | 677.169 | 1 |
97802015956Elementary Algebra
Elementary Algebra is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems.
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If you are in a hurry to get a book or textbook for your class, you would better
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Helpful Advice for Mathematics General 2 Students (Stuart Palmer)
Here's a companion handout developed by Kass Aroney (Rooty Hill HS) that you can use as you watch this video:
Are you a Mathematics (2U) student? Watch this video instead:
This video was put together by my friend and colleague, Stuart Palmer. Stuart is an expert maths teacher (see below for more of a description) and the advice you'll find in this video is the distillation of many years spent working out the most effective ways to do things (and also noticing the most common errors that students need to consciously avoid). This is a fantastic summary of many pieces of advice that I give my own students over the course of the HSC year - boiled down into one half-hour chunk. Enjoy!
** More about Stuart **
Stuart has taught mathematics for over 25 years, covering all of the current NSW Mathematics courses in Stages 4, 5 and 6 numerous times. He holds a Bachelor of Arts (Mathematics) and Diploma of Education from Macquarie University and a Graduate Certificate in Education from the University of Canberra. Stuart has been a Head of Department in 2 schools for 14 years and currently works with pre-service mathematics teachers at the University of Sydney.
This video is posted by permission of the author. | 677.169 | 1 |
Math Refresher
When math happens...
Getting world-class training in statistical methods and research design doesn't require a PhD in mathematics. However, even in introductory courses, math happens. Be ready for it when it does.
Current master's students are enrolled automatically in the SIS Skills Refresher, a self-guided short course to help you get up to speed on the basic mathematical concepts you need to succeed in any statistics course. The site features a self-assessment test, quick video tutorials, practice problems, and more.
To participate in the Skills Refresher, simply log in to the American University Blackboard page, scroll through the list of courses in which you are enrolled, and click "Skills Refresher." | 677.169 | 1 |
Squares, roots and powers
Conclusion
This free course provided an introduction to studying Mathematics. It took you through a series of exercises designed to develop your approach to study and learning at a distance and helped to improve your confidence as an independent learner. | 677.169 | 1 |
Mathematics Syllabus For JAMB Candidates
Greetings to you all, we are using this medium to bring to you all update on Mathematics Syllabus For JAMB Candidates, we Myedunigeria team always has our viewers best interest at heart, so we always make sure we bring to your door step any article that will be of help to you all, especially as all JAMB candidates earnestly prepare for Mathematics in this year's JAMB
The word syllabus simply means is an outline and summary of topics to be covered in an education or training course. And the aim of accessing this mathematics syllabus is for easy studying, to have the knowledge of the area of concentration on all the mathematics topics
NOTE: a syllabus is always set and outlined by the examination, so nothing would be set outside the topics outlined. To be a guru in mathematics all you need to make sure you know everything about mathematics, be able to acquire computational and manipulative skills, develop precise, logical and formal reasoning skills
Mathematics has tons of textbooks and here are the recommended mathematics textbooks | 677.169 | 1 |
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this file type before downloading and/or purchasing.
708 KB|4 pages
Product Description
This is a double-sided page with notes on one side and practice on the other covering solving quadratics by completing the square.
This resource is intended for the beginning Algebra 1 student. On the front, 3 examples are given with steps and the first example is completely worked out. The second example helps the student along with some blanks to be filled in. The back provides 3 more examples that can be used as guided practice.
All 6 examples include the same steps listed for the student and all quadratic equations contain a leading coefficient of one and "b" is always even. Key included. | 677.169 | 1 |
Algebra 1 is for students and young adults who need extra help grasping new algebraic concepts. This full-color text teaches the key elements of algebra in a step-by-step approach, and helps prepare all students for high school exit exams and state testing.
Book Description FEARON, 2000. Hardcover. Book Condition: New. THE BOOK IS 0130236381-N | 677.169 | 1 |
Absolute Value Equations
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this file type before downloading and/or purchasing.
5 MB|24 pages
Product Description
This is the final lesson in a five-lesson unit on EXPRESSIONS, EQUATIONS, AND INEQUALITIES. Designed for Algebra 2 students with a basic understanding of algebraic operations, the file includes everything you need to teach the lesson:
* 8-page Bound-Book Dinah Zike Foldable*, used with permission
* Smart Notebook 11 Lesson Presentation
* Homework assignment
* Two forms of a Daily Quiz to help your students succeed
* Answer keys and directions
Students will be able to solve absolute value equations and inequalities, graph solution sets for absolute value inequalities, and write inequalities to solve real-world applications.
You need Smart Notebook software to run the presentation. It can be displayed through the software and a projector if you don't have a SmartBoard. You can also use an IPAD App ,such as SplashTop, to remotely write on the presentation. You can also use Smart Notebook Express.
Be the first to hear about my new products, sales, and FREEBIES! Clickj-adams.com | 677.169 | 1 |
This episode focuses on Geometry (Ancient Greek: geo- "earth", -metron "measurement") as a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
This episode focuses on Statistics as the study of the collection, organization, analysis, interpretation, and presentation of data. It also includes the planning of data collection in terms of the design of surveys and experiments.
Math Component: Measurement and Conversion.
This episode features the process of conversion of different units of measurement such as mass, density, volume, weight, length and time. It also explains how conversion and the use of measuring devices can be helpful in solving real life problems.
This episode discusses the meaning of rational algebraic expression and its similarities with rational numbers. It explains how restricted value/s and domain of a given rational algebraic expressions are determined. It also shows the effects of "brain drain" to the quality of services delivered to people. | 677.169 | 1 |
TWO YEARS ago I came across a formula for success which has revolutionized my life. It was so simple, and so obvious once I had seen it, that I could hardly believe it was responsible for the magical... More > results which followed my putting it into practice.
Of course I was always looking for a way out of my impasse. But when I actually had the good fortune to find it, I hardly believed in my own luck. At first I did not try to analyze or explain it.
But the main reason for my taking so little time to analyze or explain the effects of the formula after I once began to use it consistently was that I was much too busy and having far too much fun.
It is in comparison with the hesitant lives we live that the full, normal life that is ours by right seems definitely super-normal.
But this book is not the history of the growth of an idea. It is intended to be a practical handbook for those who would like to escape and begin to live happily and well.
Scroll Up and Get Your Copy Now.< Less
Second edition with improved graphics to help you navigate a step-by-step workbook review of prealgebra and elementary algebra courses. Designed for students who have learned these subjects before... More > but need a refresher or mastery of additional topics to perform better on college placement tests. The objective is to save you time and money by placing you in the highest level course based on your refreshed mastery of the material.
Prealgebra and Elementary Algebra concepts are separated into 42 concise and digestible lessons. Each lesson includes instructions, examples and step-by-step walk-throughs, as well as, key exercises and illustrated answers to help you master each topic and practice tests that allow you to monitor your progress.< Less
The new Drum WORD-2-WORD Dictionary was specifically designed to provide Karen ELL students with standardized resources for state testing in the USA and other resettlement countries.
This glossary... More > is based on The Drum Dictionary: English - Sgaw Karen ISBN: 978-0-9904811-0-2. The definitions have been revised to exclude explainations and every effort has been made to include only Karen language synonmyns or the terms commonly used to express the English headword.< Less
UAF Fast Track offers a review of Pre-algebra, Elementary & Intermediate Algebra concepts. The program and workbook are designed to save the student time and money by placing them in the... More > highest-level course possible based on mastery of the material. Fast Track was designed for students who have learned these subjects before and need a refresher overview or mastery of additional topics to perform better on college placement tests.
This workbook contains lessons, practice tests and extra problems with solutions. Each lesson has an instructional area followed by some exercises. After the exercises there is an answer section that shows how each of the exercises is done. At the end of the book, there are extra problem sets for each lesson followed by the answers to those problem sets.< Less
Two seasoned parents share the personal story of how they made conscious, faithful choices to raise six successful and courageous children.
Michelle and Jim Capra have given all parents a precious,... More > practical gift by sharing their own honest journey to create six children of character. Their struggles to develop habits of excellence, accountability, and moral standards in a loving, godly way are lessons for us all. I only wish I had read this book when I was raising my own children!
Barbara A. Glanz Hall of Fame Speaker and Author of
"Priceless Gifts - Using What God's Given You to Bless Others"
As parents to six children, what really resonates with me about James and Michelle Capra's book, 'Raising Courageous Children in a Cowardly Culture', is their candidness. I truly appreciate that he withstands the tide of political correctness and states what parents today really need to hear. This is the go-to resource for raising upright children.
David Heavener, Evangelist, Revelation Media Ministry< Less
This workbook was written to support a short course that provides a review of algebra topics designed for students who have had these subjects before. The objective is to save the student's... More > time and money by placing them in the appropriate level math course – neither too high nor too low. If we are successful in doing this, we will provide a better learning environment for students and instructors alike.
The book has 38 separate lessons and two practice tests. Each lesson has an instructional area followed by some exercises. After the exercises there is an answer section that shows how each of the exercises is done. About midway through the book, there is a practice elementary algebra test. Then, near the end of the book, there is a practice Intermediate Algebra test. These tests are similar to the tests you will be given during the course. At the end of the book, there are extra problem sets for each lesson followed by the answers to those problem sets.< Less
If the Kingdom of Heaven can be compared to a great banquet, then why not begin savoring right away the enticing cuisine that is the Word of God? With a rich and diverse menu, this book offers daily... More > food for the journey, guiding us in listening to, meditating and applying the Word to everyday life. May we discover an ever greater hunger for Him: for that voice which speaks to our hearts, that knows us intimately, that guides our steps, that sustains us in difficulties, and that gives us the courage to become, like Him, bread broken for others.< Less
Experiences from WWII through and including Viet Nam as pilot, test pilot and other military experiences. Aircraft include B-17, RC-121, F-4 and many others. Interesting stories of experiences in the... More > Army Air Force and the US Air Force.< Less
Lot casting is a form of divination rooted in the spiritual traditions of the Hebrew culture before the advent of monotheism. In addition to serving as an excellent resource for those interested in... More > divination, this book is the recommend text for EliSheva's popular Lot Casting course.< Less
True stories of the Legendary Master Bandit of the Gold Rush Era, and his notorious gang members as they terrorize the immigrant miners throughout California. What were the true motivating factors of... More > these ruthless acts, and what really became of the Famous Young Bandito from Sonora, Mexico?< Less
These Things is a reference manual for discipleship, providing a topical overview of the fundamentals of Christianity, so as to empower the reader to teach them in a small group setting. In addition,... More > this book offers practical insights and additional readings in order to further equip today's Christian for every good work.< Less
Challenge into Change is a forum for real-life stories about women overcoming personal struggles. In the fall of 2016, The Women's Initiative invited Central Virginians to submit a poem or... More > essay of 500 words or less about a woman (themselves or someone they knew) who had surmounted a difficult situation in her life. Eighty-six writers responded to our call. This is their book.
Challenge into Change began in 2008 as a celebration of The Women's Initiative's first year of providing vital mental health services to women regardless of ability to pay. Since then, it has become a venue for veteran and emerging writers alike to show-case their talents and engage in creative exploration. As The Women's Initiative marks its tenth year in Charlottesville, we present this volume—a chorus of voices from the community—as a testament to what lies at the heart of our agency's vision: women's capacity for healing.< Less
In this brave and insightful memoir told in verse, Maure Quilter examines her early years in the CSJ Religious Community, her career as a therapist, her thirty-two year marriage, and her unexpected... More > divorce at the age of eighty.
As she confronts each Stranger Within, Maure gives us all hope that authenticity and a new and purposeful path can be re-discovered at any age.< Less
"Not Just a Story" is a picture book designed by student members of the CNMS generationOn Club. The main characters, John and Maryanne, go on adventures and learn about life at the places... More > they go. Young readers will enjoy telling the stories that happen along this journey.< Less
Throughout her work as a therapist with children, Deirdre Cummings, has recognized two major areas of concern affecting the esteem of today's youth. One is too much screen time and emphasis on how... More > the world sees you (or worse approves you) through social media. The second is a lack of focus on goals and a real belief that it is possible to achieve them. This journal is fun and thought-provoking. It is never too early for kids to begin working towards their dreams. If A Caterpillar Can Fly, Why Can't I teaches children the value of having of being self-aware which fosters greater resilience, increases dreaming and motivation, and improves relationships with the people in their life who matter most. It is not only a roadmap, but a time capsule of hopes and dreams for tomorrow's future leaders!< Less
Singapore's vibrant multicultural heritage has always had an element of enchantment, but this anthology of twenty-six short stories casts the Lion City as a realm of the irreal: a what-if world... More > that blends the subtly supernatural and the vividly concrete. From a taiyaki shop supervised by a talking cat to a girl who melts in the humidity, the stories in Beneath the Lion City delve below Singapore's surface to unearth the magic in the mundane. Take a leap from everyday reality into a world where the sky turns pink and a fisherman hunts merlions as Singapore American School's Advanced Topic Writing Seminar students uncover new facets of the Little Red Dot.< Less
We live in a cultural milieu in which it is no longer possible to have any confidence in external supports from society or the media to help one remain chaste — in the single state or in a life... More > consecrated to God by vows.
Today much depends on the strong personal motivations of the individual coupled with the grace of God and a heavy dose of common sense for one to live this lifestyle. Still it is not only possible to do so, but to do so with joy.
This little book on celibacy and virginity for the sake of the Kingdom seeks to help create the kind of motivation necessary, drawing heavily on texts from the New Testament which address many of the problems and objections frequently leveled against the very idea of living chastely with the restraint, discipline and self‑control required. Young people, for whom this book was mainly written, are shown how to live the charism of virginity and celibacy charismatically — that is "as a gift, in all humility, with joy and perfect freedom | 677.169 | 1 |
Do my assignment for me high quality assignments and homework
Free math problem solver answers your algebra homework questions with step-by-step explanations. . Problem solving consists of using generic or ad hoc methods, in an orderly manner, for finding solutions to problems. Some of the problem-solving. . Webmath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by. . Problem solving and educational games - solve problems, brainteasers and puzzles, and play educational games at the problem site. . Links to problem solving sites. These links provide additional problem-solving activities for students in all grades. .
Outline of term paper thesis for essay solving for x word problems help writing a speech argumentative research paper topic stress research paper table of contents. . Also see the librarys blogs related to problem solving and decision making in addition to the articles on this current page, also see the following blogs that have. . Problem generator mobile apps all products about. A few examples of what you can ask wolframalpha about. Solving basic arithmetic step by step with. .
The problems are non-routine problem solving questions that are adapted to many math competitions. Therefore, you might substitute problem for opportunity in the following guidelines. How we sometimes fool ourselves when making decisions (traps we can fall into) more of most common decision-making mistakes (more traps we can fall into) (many people would agree that the following methods and toolsare also for decision-making. Write down a description of the cause of the problem and in terms of what is happening, where, when, how, with whom and why. A great selection of word problems for grades 5-12.
Still, you should consider what changes should be made to avoid this type of problem in the future? Consider changes to policies and procedures, training, etc. Share it with your supervisor, peers and subordinates. Decisiontrees (for clarifying and depicting which alternative are derivedfrom which) delphidecision making (to collect the views of experts and distill expert-basedsolutions) dialecticdecision making (rigorous action planning via examining oppositepoints of view) paretoprinciple (for finding the options that will make the most difference-- (2080 rule) swot analysis (to analyze from strengths, weaknesses,opportunities and threats) to round out your knowledge of this library topic, you maywant to review some related topics, available from the link below. Includes chapters on sequences, problem-solving, money, percents, algebraic thinking, negative numbers, logic, ratios, probability, measurements, fractions, division. It also suits the nature of people who shun linear and mechanistic approaches to projects.
Some higher or wider interest appeared on the horizon and through this broadening of outlook, the insoluble lost its urgency. They have beenselected for their relevance and highly practical nature. Instead, seek to understand more about why you think theres a problem. In addition to the answers, webmath also shows the student how to arrive at the answer. The questions concentrate on understanding, spatial reasoning, usefulness, and problem solving rather than math rules and theorems. As much as possible, be specific in your description, including what is happening, where, how, with whom and why. Over 12,000 interactive and non-interactive nctm compliant math word problems, available in both english and spanish. Consider writing a brief memo that highlights the success of the problem solving effort, and what you learned as a result. The following is a list of some of the problems and puzzles which teachers have recently added to the site. Many of these explain and use the bar diagram method also found in singapore math books.
Critical thinking assessment
Problem solving games for kids. Give your brain a workout with these kids problem solving games and interactive activities. Find cool number problems and exercises as. . | 677.169 | 1 |
Math builds on the Math 7 foundation. Students work with integer exponents and scientific notation, the concepts of congruence and similarity. Considerable time will be spent working with linear equation and functions. An introduction to irrational numbers will be included as time allows. Students should further develop an appreciation for the order in creation that God has given in His Word and organizational skills continue to be emphasized. Scripture is used in challenging students in their work and behavior. The class meets one period each day.
Social Studies 8 is the culmination of a two-year study of American history. Beginning with the Civil War and continuing until the present day, the course focuses primarily on historical events and their effects in shaping our nation today. Biblical themes such as God's provision, sovereignty, and protection, as well as our responsibilities as Christian citizens, are emphasized throughout the course of study. The class meets for forty minutes every day.
Algebra I focuses on the development of students' algebra skills such as working with polynomials, linear and quadratic equations, probability, and statistics. A significant amount of time is spent on graphing lines, parabolas, absolute value and exponential functions, solving systems of equations both algebraically and by graphing, and solving word problems algebraically. Biblical truth is emphasized throughout and application is frequently made relating to behavior and work ethic. The awesomeness of God is noted in mathematical concepts being studied. | 677.169 | 1 |
Ch 1: Overview of Math Concepts
About This Chapter
Shore up your understanding of the math concepts you'll need to tackle calculus, statistics and algebra problems with the lessons in this chapter. The entertaining videos deliver instruction in a way that makes these topics easy to understand.
Overview of Math Concepts Chapter Summary
Lessons in this chapter can teach you to work with the types of mathematical expressions and equations used in the disciplines of algebra, calculus and statistics. Topics of instruction include:
Algebraic expressions
Logarithmic functions
Differential equations
Probability distributions
Trigonometric functions
Polynomial equations
Take advantage of our instructors' expertise to improve your understanding of a specific math concept or take a closer look at topics covered in our full-length math classes. A complete list of course offerings is included below.
How to Use this Chapter
Our supplemental math video lessons could prove to be a useful study tool if you're looking for quick and easy access to problem-solving steps or the definitions of math vocabulary terms. Use them along with the self-assessment quizzes to enhance your own classroom studies or prepare for an exam. These lessons also supplement the math classes listed below: | 677.169 | 1 |
Welcome to MRS. DAVENPORT's Teacher Connection Page!!! Please view the calendar to see upcoming (or missed) lessons & assignments. I also have several websites listed below that will be used OFTEN to support the Algebra 1 curriculum and mastery of the Florida Standards. Please email Mrs. Davenport or call the school with any questions or concerns.
The ALGEBRA 1 EOC will be May 8th & 9th! We will begin reviewing in a few weeks. Students are expected to visit Algebra/ Math Nation for tutorial videos and extra practice when all other work is complete.
Reminder: After-school tutoring is held every after- school every MONDAY or TUESDAY until 3:30pm (I'm also available any other morning or afternoon, by appointment). Tutoring is mandatory for any student earning a grade below a 70% in algebra 1a or 1b and optional for all other students. This is a time for one- on -one help or simply a time to sit and get caught up on missing assignments. If you miss a MathXL homework assignment and need it to be reopened or entered in Skyward, this is a great time to ask!
**MATH NATION Sign- In Information
This site was created by The University of Florida and aligns directly to the algebra 1 standards. There are tutorial videos on eveyr algebra 1 standard as well as practice problems ("Test Yourself") that are designed to look exactly like the questions that students will see on the Algebra 1 EOC.
**Kahn Academy (Tutorial Videos)
This website has wonderful tutorial videos on every algebra skill. Simply search for the lesson title to see practice problems thoroughly explained. If you are absent or need extra practice on a skill, it's a great way to get caught up | 677.169 | 1 |
Matrix Calculator This calculator performs all matrix, vector operations. You can add, subtract, find length, find dot and cross product, check if vectors are dependant. For every operation, calculator will generate a detailed explanation | 677.169 | 1 |
Algebra 2 Worksheets
There are some students who after completing Algebra 1 with a few difficulties find immense problem in dealing with Algebra 2 and it is here that Algebra 2 worksheets come to rescue. Just after the completion of the first step it becomes difficult to cope up with the second, as the concepts tend to become more difficult and abstract. This makes it difficult for students who deal with concrete or visual information. An Algebra 2 worksheet tends to make things easier for them.
With an Algebra 2 worksheet students can seek the help from tutors and also get extra help whenever necessary. The worksheets aptly compliment the DVD lesson which help students to develop the capability to practice and master new concepts just after a thorough and comprehensive learning. The worksheets have hundreds of problems accompanied by diagnostic tests.
With the help of Algebra 2 worksheets students can earn A's and B's in classwork and examinations easily. Worksheets are of great help in learning abstract Algebra as well. These worksheets provide you ample dexterity to cope up with the concepts of abstract Algebra.
The Algebra 2 worksheets contain appropriately designed exercises so that the students receive much encouragement not only in following the Maple (a programming language which instructors use to produce specific user friendly applications) computations, but also in experimenting with the variations from the worked out examples. The worksheets are extremely helpful for those lacking proper understanding of computers.
First time you can make use of the worksheets, to hit enter and check the results of the computations. Second time, the student can use it as template where you can change the numbers to explore and experiment with similar kinds of problems. However, if the material seems interesting to you, make use of a code as a model for using Maple for extra tasks.
What is best for you or how much your performance can improve does not always depend on you. For this you need an Algebra 2 worksheets or an educational guide who will help you understand things better and improve your mathematical skills. | 677.169 | 1 |
Course Description & Materials
1. Functions of Matrices and Exponential Integrators
Functions of matrices are widely used in science, engineering and the social
sciences, due to the succinct and insightful way they allow problems to be
formulated and solutions to be expressed. New applications involving matrix
functions are regularly being found, ranging from small but difficult problems
in medicine to huge, sparse systems arising in exponential integrators for the
solution of partial differential equations. This course will treat the
underlying theory of matrix functions, describe a variety of algorithms, give an
overview of some applications, and briefly discuss software issues. It will also
treat exponential integrators, giving an introduction to the topic from theory
to software and emphasizing the use of matrix functions in the methods.
Model reduction is a ubiquitous tool in analysis and simulation of dynamical
systems, control design, circuit simulation, structural dynamics, CFD, etc. In
the past decades many approaches have been developed for reducing the order of a
given model. Often these methods have been derived in parallel in different
disciplines with particular applications in mind. In this course, we will derive
some of the most prominent methods used for linear systems: modal truncation
based on eigenvalue algorithms, interpolatory methods which construct an
approximate model by rational interpolation of the system's transfer function,
and balanced truncation - a method based on a best approximation of a certain
energy transfer operator related to the system. We will also compare the
properties of these approaches and highlight similarities. In particular, we
will emphasize the role of recent developments in numerical linear algebra in
the different approaches. Efficiently using these new techniques, the range of
applicability of some of the methods has considerably widened. Particular
emphasis will be given to the numerical solution of matrix equations which is
the main computational bottleneck in methods based on balanced truncation. We
will also present some ideas in the direction towards nonlinear model reduction
at the end of the course. Numerical experiments to be performed in the exercise
session will show the efficiency of several approaches when applied to
real-world examples from several disciplines.
Efficient algorithms for matrix functions and equations depend critically on
the solutions of underlying linear systems and eigenvalue problems. This course
aims at bringing to the students the state-of-the-art high performance methods
for sparse linear systems and eigenvalue computations. Many practical aspects
will be addressed to deliver high speed and robustness to the users of today's
sophisticated high performance computers. | 677.169 | 1 |
Word Document File
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1.17 MB | 6 pages
PRODUCT DESCRIPTION
This is a group activity that requires students to analyze the impact of transformations on the graph of a particular function. Students are given an exponential function, f(x), and a logarithmic function, r(x), and asked to create the graphs of transformations such as f(x) + 3, 2r(x), r(-x), and several others. After creating the graphs students are required to explain the transformation that occurred and discuss the impact of the transformation on the domain, range, and end behaviors.
The intent is that students create the graphs by hand, however, graphing technology could be used to shift the focus from creating the graphs to analyzing the results of the transformations | 677.169 | 1 |
Scientific calculator
Everyone is different, every one learns in a different way. Why using the same calculator of all the classmates? Why using the same calculator every year? Would be better using another one? It is a decision that can influence your grades.
Friday, 12 February 2016
One of the
best scientific calculators. And now at a good price. It is a great difference
between usual scientific calculators, actually focused on engineering. With it
you can calculate equations and functions with the calculation result in a
table.
It has got
a natural view display, you can write the operations in the same way you would
do in the paper. It has solar charging. | 677.169 | 1 |
15657712Saxon Algebra 1: Homeschool Kit Third Edition
Saxon math programs produce confident students who are not only able to correctly compute, but also to apply concepts to new situations. These materials gently develop concepts, and the practice of those concepts is extended over a considerable period of time. This is called "incremental development and continual review." Material is introduced in easily understandable pieces (increments), allowing students to grasp one facet of a concept before the next one is introduced. Both facets are then practiced together until another one is introduced. This feature is combined with continual review in every lesson throughout the year. Topics are never dropped but are increased in complexity and practiced every day, providing the time required for concepts to become totally familiar. Algebra 1, third edition is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. Algebra 1 covers topics typically treated in a first-year algebra course. This set contains a student text, answer key, and test forms. A solutions manual is available separately. Grade 9 | 677.169 | 1 |
QUICK LINKS
QUICK LINKS
College Mathematics I – mth208 (3 credits)
This course begins a demonstration and examination of various concepts of algebra. It assists in building skills for performing specific mathematical operations and problem solving. These concepts and skills serve as a foundation for subsequent quantitative business coursework. Applications to real-world problems are emphasized throughout the course. This course is the first half of the college mathematics sequence, which is completed in MTH/209: College Mathematics II | 677.169 | 1 |
LCS Pearson March 2014
3.
Developmental
Pathways …
include Math Literacy for College Students,
Quantway, Statway, and the New Mathways
Project.
create alternative routes to or through college-level
math courses, especially non-STEM courses.
look forward to college needs instead of backward
to high school deficiencies.
emphasize critical thinking and problem solving.
use authentic problems and contextualized
learning.
4.
History
2009-10
Carnegie Foundation, UT Dana Center, & AMATYC's New Life create pathways.
Different approaches are used regarding algebra and outcome courses.
2011-13
First pilots of pathways courses begin nationally, including RVC.
Interest in pathways grows at the national level.
2013-14
Policies change in several states regarding intermediate algebra.
Pathways begin to scale.
5.
Why pathways?
Large number of students in
developmental math only need statistics
or liberal arts math to graduate
Students pass dev math but still not
prepared for non-STEM courses
Redesign had addressed how we were
teaching but not what we were teaching
6.
A New Pathways Option
In one semester (3 – 6 credits), Mathematical
Literacy for College Students gives a student at the
beginning algebra level the mathematical maturity
to be successful in statistics, liberal arts math, or
intermediate algebra.
12.
A doctor orders 200 mg of an
antibiotic for an infant who weighs
15.4 lb. It should be taken every 8
hours. The medication label shows
that 75–150 mg/kg per day is the
appropriate dosage range.
Determine if the dosage
ordered is within the desired
range.
Traditional Algebra vs. MLCS Approach
Convert 10 miles to kilometers.
13.
It's not just…
"Can you do it?"
It's…
"Do you understand it well
enough to use it?"
15.
Problems vs. Exercises
Problems require original approaches
and non-routine application and connection of skills.
A method is not necessarily clear at first glance.
Exercises require choosing and applying
an algorithm.
They develop a student's ability to
perform skills.
Skills can be developed through problems
but the reverse is not always true.
16.
Exercise Problem
Solve: 2x + 7 = 10 Suppose you want to treat your
office team to lattes at a local
coffee shop.
The drinks are $4.25 each, plus
you plan to buy a $2 scone for
yourself.
You also tip the barista 10% and
have to pay 8.25% sales tax.
How many lattes can you afford if
you have $60 to spend?
18.
Content Effects
New topics and approaches require the
removal of some familiar topics.
Difficulty level and expectations increase.
Focus shifts from "what has to be
covered?" to "what has been learned?"
37.
Outcomes
Although sample sizes are small…
• 60 - 70% pass MLCS
• No statistically significant difference in Gen Ed math
or Stats based on prerequisite (algebra or MLCS)
• MLCS students pass traditional intermediate algebra
at a higher rate than beginning algebra students.
Longterm tracking will continue for several more years. | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
A is for Algebra-and that's the grade you'll pull when you use Bob Miller's simple guide to the math course every college-bound kid must take
With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student's best friend. He breaks down the complexities of every problem into easy-to-understand pieces that any math-phobe can understand-and this fully updated second edition of Bob Miller's Algebra for the Clueless covers everything a you need to know to excel in Algebra I and II.
Table of Contents
TO THE STUDENT
Chapter 1: Natural Numbers and Introductory Terms
Chapter 2: Integers Plus More
Chapter 3: First-Degree Equations
Chapter 4: Problems with Words: Why So Many Students Have Problems on the SAT | 677.169 | 1 |
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Summary
This text explores the power of mathematics and shows how mathematics has revolutionized the world. The main theme throughout this book is problem solving. In the first part of the book, "The Power of Mathematics," Smith begins by discussing math anxiety and how to formulate the problem. Students develop confidence and then learn problem solving techniques from arithmetic, algebra, and geometry. In the second part of the book, "The Utility of Mathematics," students apply these techniques to topics that were selected because of their usefulness to students. The topics include managing money using the ideas of interest, installment buying, credit card buying, inflation, buying a car or home, sets, probability, contests, statistics, surveys, and the influence of these topics on students' lives. While building critical-thinking and communication skills, students develop an appreciation of mathematics as they each learn something that will make life easier, less costly, or more efficient. | 677.169 | 1 |
DESCRIPTION: Equ 49 definitions, illustrations, and examples that can help them solve math problems. This Each term has a concise definition and an example or illustration. This is a guide that needs to be in every child's desk | 677.169 | 1 |
Cálculo Dos: Secuencias y Series
Cálculo Dos: Secuencias y Series
Cálculo Dos: Secuencias y Series
The Ohio State University
Acerca de este curso: Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"
Welcome to the course! My name is Jim Fowler, and I am very glad that you are here.
In this first module, we introduce the first topic of study:
sequences. Briefly, a sequence is an unending list of numbers; since a sequence "goes on forever," it isn't en...
18 videos, 5 readings
Calificado: Review for Sequences
WEEK 2
Series
In this second module, we introduce the second main topic of study: series. Intuitively, a "series" is what you get when you add up the terms of a sequence, in the order that they are presented. A key example is a "geometric series" like the sum of one-half,...
14 videos, 3 readings
Calificado: Review for Series
WEEK 3
Convergence Tests
In this third module, we study various convergence tests to determine whether or not a series converges: in particular, we will consider the ratio test, the root test, and the integral test.
12 videos, 4 readings
Calificado: Review for Convergence Tests
WEEK 4
Alternating Series
In this fourth module, we consider absolute and conditional convergence, alternating series and the alternating series test, as well as the limit comparison test. In short, this module considers convergence for series with some negative and some positive term...
15 videos, 2 readings
Calificado: Review for Alternating Series
WEEK 5
Power Series
In this fifth module, we study power series. Up until now, we had been considering series one at a time; with power series, we are considering a whole family of series which depend on a parameter x. They are like polynomials, so they are easy to work with. ...
14 videos, 5 readings
Calificado: Review for Power Series
WEEK 6
Taylor Series
In this last module, we introduce Taylor series. Instead of starting with a power series and finding a nice description of the function it represents, we will start with a function, and try to find a power series for it. There is no guarantee of success! Bu...
12 videos, 2 readings
Calificado: Review for Taylor Series
WEEK 7
Final
The final exam is your opportunity to demonstrate everything you have learned in our time together. You have nearly reached the end of the course. Let me tell you that it has been my honor and my pleasure to be one of your guides through mathematics. I very...
The Ohio State University is one of the largest universities in the United States. It's also home to a diverse group of the best and brightest people in the world: dedicated faculty, passionate students, and innovative researchers who make Ohio State one of the world's truly great universities.
Calificaciones y revisiones
Calificado 4.8 de 5 755 calificaciones
TI
Very good. Calculus is something everyone should try. This course really explains what it is really about and how to use it.
Good, but Not as accessible as Calculus One as for some abstract concepts, for math amateurs like me. I am still confused where I can put what I learned in this course into practice. But I want to learn more about sequences and series using other resources. | 677.169 | 1 |
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