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EXTRAS
Quadratic Equations (11th Grade Mathematics)
11th Grade Mathematics
At the end of this lesson, you will be able to:
• Analyse the quadratic equation.
• Solve the quadratic equations.
• Know the applications of quadratic
equations and its approach. | 677.169 | 1 |
...
Show More careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations | 677.169 | 1 |
Related Subjects
Pre-Calculus: Polynomials
In mathematics, a polynomial is an expression constructed from one or more variables and constants, using the operations of addition, subtraction, multiplication, and constant positive whole number exponents.
Polynomials are one of the most important concepts in algebra and throughout mathematics and science. They are used to form polynomial equations, which encode a wide range of problems, from elementary story problems to complicated problems in the sciences.
Many students find polynomials difficult. They feel overwhelmed with polynomials homework, tests and projects. And it is not always easy to find polynomials tutor who is both good and affordable. Now finding polynomials help is easy. For your polynomials homework, polynomials tests, polynomials projects, and polynomials tutoring needs, TuLyn is a one-stop solution. You can master hundreds of math topics by using TuLyn.
Our polynomials videos replace text-based tutorials and give you better step-by-step explanations of polynomials. Watch each video repeatedly until you understand how to approach polynomials problems and how to solve them.
Hundreds of video tutorials on polynomials make it easy for you to better understand the concept.
Hundreds of word problems on polynomials give you all the practice you need.
Hundreds of printable worksheets on polynomials let you practice what you have learned by watching the video tutorials.
Pre-Calculus: Polynomials Videos
This tutorial shows how to combine like terms in given polynomial, the variables, and the constants. You will learn to combine the coefficients of the same variable as well as pay attention to the signs of coefficients, for there are different rules for different signs and same signs.
Pre-Calculus: Polynomials Word Problems
A box with no top is to be made from a piece of metal
A box with no top is to be made from an 8 inch by 6 inch piece of metal by cutting identical squares from each corner and turning up the sides. The volume of the box is modeled by the polynomial 4x3-28x2+48x. Factor the polynomial ...
Suppose you are at the gas station
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
C(g)=3.03(g)
a) What does the number 3.03 represent?
b) Find C(2)
c) Find C(9)
d) For the average motorist, name one value for g that would be inappropriate for this function's purpose. Explain why you chose the number you did.
e) If you were to graph C(g), what would be an appropriate domain? ...
Long Polynomial Division
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?
Pre-Calculus: Polynomials Practice Questions
(9x5-4x4) / (3x-1)
(3-2r)(2-3r)
A diagram shows a rectangular region, one of whose corners lie on the graph of y = -x2 + 2x + 4...
(y-12)(y+4)
x3 + x2 +1
(5x-6)(x+2)
(2x+5)(3x-1)
2x-20
4x2 + 5x - 6 = 0
y2+2y+5-3y2-5y
2x3-3x2-2x divided by 2x-3
xw+8t+8x+wt
(x+3)(x-12)
(4a3-8a2+a2)/(4a-1)
-x3+7x-6 is divided by x-1
-4x(8+3x)
Write a polynomial for the length of the rectangle: Area is 7x4 - 14x
Find a polynomial for the perimeter and for the area using d+4 and d
Find the height and length of the container using (3t+2)(2t+4)
15-8x+x2
-5(2z)3
(3x3 – x2 + 10x – 4) ÷ (x + 3)
24x3 \ 6x
24x3 / 6x
-16t2+128t+768=1
(36b3+18b2+44b+49) / (6b+5)
f(x)=3x2-x
f(x-3)=?
If you multiply (x+1)^20 how many terms will there be?
-5c+7c
(3x-5)(x-5)(3x-5)(x-5)
Find the side length of a square whose area is 529 ft2
2ab(5a + 4b)=
(2x+2)(3x-6)
(4x-3y) (4x-3y)
x2-5x-6
find the value of the coefficient of 1/x in the expansion (2x - 1/x)^5
[y+(4-2x)]2
The width of a rectangular painting is 3 in. more than twice the height.
a frame that is 2.5 in. wide goes around the painting.
a) write an expression for the combined area of the painting and frame.
b) use the expression to find the combined area when the height of the painting is 12 ...
A polynomial in x has degree 3. The coefficient of x2 is 3 less than the coefficient of x3. Te coefficient of x is three times the coefficient of x2. The remaining coefficient is more than the coefficient of x3. The sum of the coefficients is -4...
How Others Use Our Site
Understanding polynomials, binomials and monomials. Understand the polynomials better. Need help with division of polynomials, synthetic division. I am a student at Wake Tech Community College, taking a Developmental Math Class (Algebra) and am having some trouble with polynomials. I am hoping it will help me understand polynomials. by helping me understand how to set up word problems associated with polynomials and just help me survive the next 8 weeks of math. | 677.169 | 1 |
Symmetry, Shape and Space [Hardcover]
Item description for Symmetry, Shape and Space by L.Christine Kinsey...
This text is suitable for introductory students, perhaps in programs such as education, art and architecture. The text contains some traditional material from geometry as well as more innovative topics. Throughout the text, the authors place strong emphasis on pedagogy, hands-on model building, a guided discovery method of learning, etc. Much of the material is written in such a way that it can be used in the classroom for enrichment projects, by prospective mathematics teachers Symmetry, Shape and Space?
fails to help Sep 10, 2007
Sorry, any text book without a glossary fails its primary goal of making its information accessible.
Good Book Feb 8, 2007
The book does a good job of reintroducing basic geometry to the more remedial college mathematician. It also does a fine job of introducing higher order geometry. However, the best quality of the book is its ever present agenda to relate geometry to real life situations. This helped to give me a reason to study geometry for practical purposes. Too bad my professor is a douchebag.
A Geometrical Journey Dec 3, 2005
This book will well serve any student who wants an interesting, visual approach to mathematics. A plethora of topics are explored including constructions, tessalations, other dimensions-the fourth dimension, polyhedra, three-dimensional symmetry, spiral growth, shape, graph theory, and topology. All topics are presented, for the most part, in an intuitive, visual manner making it much easier for the average reader to grasp the concepts being presented. Students are required to analyze patterns thereby enhancing their analytical and visualization skills. Each chapter is presented in a stand alone manner. The book is well written and replete with numerous high quality drawings. The text would well serve any instructor who is presenting a course for liberal arts students, a course in mathematics for teachers, or an enrichment course for high school students. The book would also provide an excellent, self-study guide for high school students who are interested in a gentle guide to mathematics outside the standard high school: algebra, plane geometry, and pre-calculus curriculum. An excellent and extensive biography is provided for the reader who wants to delve deeper into any of the many topics covered in the text. Overall, an excellent introductory text to the many facets of geometry | 677.169 | 1 |
Math problem solvers
More Reasons to Study Math at Simpson. Almost every industry, business, and government agency needs math majors because they are versatile problem-solvers. Provides tutorials in algebra, geometry, trigonometry, and calculus. Also offers problem of the day, study tips, games, math lessons and resource links. Gives practice and assistance with arithmetic operations, simplifying algebra expressions, complex numbers, simultaneous linear equations, and graphing. Also. Get a free Wolfram|Alpha Mathematics widget to customize, share, and embed on websites, blogs, WordPress, Blogger, and iGoogle. See also the Math Forum's Internet Mathematics Library list of math problems and puzzles on the Internet, and our Teacher2Teacher FAQ: Tricks for Learning Math. Math-U-See is math you'll love. Math-U-See is a complete K-12 math curriculum focused on homeschool and small group learning environments that uses.
Types Welcome to the Lane Tech Math Department home page. On this website, you will find: links to teacher websites; contact info for teachers/department. 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. Our friend and co-conspirator, the BikeTinker, recently collaborated with some folks to create a tire pressure app for Android devices. I've always felt my. Discovery Education transforms classrooms and inspires teachers with engaging interactive content and services that measure and improve student achievement. The math problem has been named the boolean Pythagorean Triples problem and was first proposed back in the 1980's by mathematician Ronald Graham. 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. Math.com Online Solvers Fast Automatic Solutions. Answers are completely explained in plain English! Click on the yellow arrow for. Our friend and co-conspirator, the BikeTinker, recently collaborated with some folks to create a tire pressure app for Android devices. I've always felt my.
Math problem solvers
Get a free Wolfram|Alpha Mathematics widget to customize, share, and embed on websites, blogs, WordPress, Blogger, and iGoogle. Math online calculators and solvers for problems including polynomial equations, rational expressions, systems of equations, matrices, complex numbers, and. A SNAP Math fair is not like a traditional science fair. Although there is a superficial resemblance, it differs in its structure and its scope. Discovery Education transforms classrooms and inspires teachers with engaging interactive content and services that measure and improve student achievement. Types
Step by step online math solvers that guide you to solve problems and learn math skills on your own. Product Description: Invitations to Problem Solving with Story Boxes invites Kindergartens to be problem posers as well as problem solvers. Guides features. Gives practice and assistance with arithmetic operations, simplifying algebra expressions, complex numbers, simultaneous linear equations, and graphing. Also. Step by step online math solvers that guide you to solve problems and learn math skills on your own. Welcome to the Lane Tech Math Department home page. On this website, you will find: links to teacher websites; contact info for teachers/department. Learn to solve word problems. This is a collection of word problem solvers that solve your problems and help you understand the solutions. All problems are.
Provides tutorials in algebra, geometry, trigonometry, and calculus. Also offers problem of the day, study tips, games, math lessons and resource links. Primary Grade Challenge Math by Edward Zaccaro A very good book on problem solving with very varied word problems and strategies on how to solve problems. Primary Grade Challenge Math by Edward Zaccaro A very good book on problem solving with very varied word problems and strategies on how to solve problems. See also the Math Forum's Internet Mathematics Library list of math problems and puzzles on the Internet, and our Teacher2Teacher FAQ: Tricks for Learning Math. 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.
A SNAP Math fair is not like a traditional science fair. Although there is a superficial resemblance, it differs in its structure and its scope. Learn to solve word problems. This is a collection of word problem solvers that solve your problems and help you understand the solutions. All problems are. More Reasons to Study Math at Simpson. Almost every industry, business, and government agency needs math majors because they are versatile problem-solvers. Geometry is a fun and simple area of Math, which appeals to many students who are normally not too fond of Math. The combination of numbers and theorems with visual.
Problem Solving and Educational Games - solve problems, brainteasers and puzzles, and play educational games at The Problem Site. Math online calculators and solvers for problems including polynomial equations, rational expressions, systems of equations, matrices, complex numbers, and. 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. Geometry is a fun and simple area of Math, which appeals to many students who are normally not too fond of Math. The combination of numbers and theorems with visual. Problem Solving and Educational Games - solve problems, brainteasers and puzzles, and play educational games at The Problem Site. | 677.169 | 1 |
This section contains free e-books and guides on Matlab, some of the resources in this section can be viewed online and some of them can be downloaded.
This text includes all
material that you need to know, however, many things are treated briefly. Topics
covered includes: Basic syntax and variables, Mathematics with vectors and
matrices, Visualization, Control flow, Numerical analysis, Script and function
m-files, Cell arrays and structures, Optimizing the performance of Matlab code,
File input/output operations, Writing and debugging Matlab programs.
Introduction to
MATLAB for Engineering Students is a document for an introductory course note in
MATLAB and technical computing. It focuses on the specific features of MATLAB
that are useful for engineering classes. Topics covered includes: Mathematical
functions, Matrix generation, Array operations and Linear equations,
Introduction to programming in MATLAB, Debugging M-files, Main characteristics
of MATLAB.
This book provides an
introduction to some of the most useful features of Matlab. Author includes
plenty of examples, the best way to learn to use Matlab is to read this while
running Matlab, trying the examples and experimenting. Topics covered
includes: Simple calculations and graphs, Programming in Matlab, Advanced matrix
computations, Advanced Graphics, Solving nonlinear problems in Matlab,
Efficiency in Matlab and Advanced data types in Matlab.
This note is
intended to assist undergraduates with learning the basics of programming in
general and programming MATLAB in particular.This will explain the MATLAB
command prompt for performing calculations and creating variables. | 677.169 | 1 |
Vectors and Matrices provides a progressive approach to vectors and matrices. The first half of this book is devoted to geometry, introducing matrices through its association with geometry mappings, while the rest of the chapters focus on the importance of matrices in non-geometric situations, such as the theory of linear equations and eigenvector... more...
Theory of Automata deals with mathematical aspects of the theory of automata theory, with emphasis on the finite deterministic automaton as the basic model. All other models, such as finite non-deterministic and probabilistic automata as well as pushdown and linear bounded automata, are treated as generalizations of this basic model. The formalism... more...
Coalition and Connection in Games: Problems of Modern Game Theory using Methods Belonging to Systems Theory and Information Theory focuses on coalition formation and on connections occurring in games, noting the use of mathematical models in the evaluation of processes involved in games. The book first takes a look at the process of strategy in playing... more...
Game Theory and Experimental Games: The Study of Strategic Interaction is a critical survey of the essential ideas of game theory and the findings of empirical research on strategic interaction. Some experiments using lifelike simulations of familiar kinds of strategic interactions are presented, and applications of game theory to the study of voting,... more...
Elementary Vectors is an introductory course in vector analysis which is both rigorous and elementary, and demonstrates the elegance of vector methods in geometry and mechanics. Topics covered range from scalar and vector products of two vectors to differentiation and integration of vectors, as well as central forces and orbits. Comprised of seven... more...
Matrix Methods: An Introduction is a nine-chapter text that emphasizes the methodological aspects of mathematical matrices. This book is intended for an introductory course in matrices similar to those given to sophomore and junior engineering students at Fairleigh Dickinson University. The first five chapters deal with the elementary aspects of matrices,... more...
Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory... more...
Mathematical Methods and Theory in Games, Programming, and Economics, Volume II provides information pertinent to the mathematical theory of games of strategy. This book presents the mathematical tools for manipulating and analyzing large sets of strategies. Organized into nine chapters, this volume begins with an overview of the fundamental concepts... more... | 677.169 | 1 |
Gcse level maths coursework
GCSE Mathematics 4360 gives students knowledge of reasoning, problem-solving and functional elements. This would suit students wishing to progress to A-level Mathematics. Coursework for GCSE mathematics is to be axed in England, the Education Secretary, Alan Johnson, has announced. All other GCSE coursework would have to be supervised. Coursework has now been replaced. Prior education to GCSE level is generally required of pupils. The GCSE Mathematics exam syllabus. Homework Expert Singapore Provides Maths course work, maths statistics coursework, mathematics coursework, maths gcse coursework, data handling coursework and maths. Coursework in Mathematics: MEI discussion paper page 3 The current situation All GCSE Mathematics specifications contain two pieces of coursework, each worth.
Homework Expert Singapore Provides Maths course work, maths statistics coursework, mathematics coursework, maths gcse coursework, data handling coursework and maths. There is essay nuclear weapon world no practical exam, although you have to do certain practicals in school. Study Guides. Maths GCSE Courses. gcse level maths coursework. Edexcel GCSEs are available in over 40 subjects. Visit your GCSE subject page for specifications, past papers, course materials, news and contact details. A-level Mathematics (6360) and A-level Statistics (6380) For use with the specifications from September 2004. The following tasks are recommended by AQA for centres.
Gcse level maths coursework
Coursework is a requirement for most English Literature specifications, although different boards require slightly different assignments as part of the coursework folder. In the coursework file for Gcse maths there is a piece called Table Patterns which I think should be 7 pages long but shows only 3. How do I get to the oth. Hey, I am planning on retaking my GCSE Maths this November, can anyone provide me with a list of exam boards that offer GCSE Maths without coursework/modul. In the coursework file for Gcse maths there is a piece called Table Patterns which I think should be 7 pages long but shows only 3. How do I get to the oth. Coursework for GCSE mathematics is to be axed in England, the Education Secretary, Alan Johnson, has announced. All other GCSE coursework would have to be supervised.
Coursework in Mathematics: MEI discussion paper page 3 The current situation All GCSE Mathematics specifications contain two pieces of coursework, each worth. We Provide Coursework Writing Help You Need. Coursework is undoubtedly one of the most intricate tasks assigned to students. Depending on the subject, it may take. Coursework is a requirement for most English Literature specifications, although different boards require slightly different assignments as part of the coursework folder. It is time to start thinking as an adult and get the best GCSE coursework writing help on the market! Our team of experts is always ready to help you. Tough GCSE topics broken down and explained by out team. AS and A Level ; Maths; AS and A Level: Maths This coursework is about finding the roots of equations.
Edexcel GCSEs are available in over 40 subjects. Visit your GCSE subject page for specifications, past papers, course materials, news and contact details. Here, you'll find everything you need to study for or to teach Edexcel GCSE Mathematics A, including key documents and the latest news. Students of our Edexcel GCSE. A-level Mathematics (6360) and A-level Statistics (6380) For use with the specifications from September 2004. The following tasks are recommended by AQA for centres. Investigations for GCSE Mathematics For teaching from September 2010 The coursework element was removed from GCSE Mathematics assessments in September 2007. Coursework has now been replaced. Prior education to GCSE level is generally required of pupils. The GCSE Mathematics exam syllabus.
Hey, I am planning on retaking my GCSE Maths this November, can anyone provide me with a list of exam boards that offer GCSE Maths without coursework/modul.
We Provide Coursework Writing Help You Need. Coursework is undoubtedly one of the most intricate tasks assigned to students. Depending on the subject, it may take.
Tough GCSE topics broken down and explained by out team. AS and A Level ; Maths; AS and A Level: Maths This coursework is about finding the roots of equations.
Investigations for GCSE Mathematics For teaching from September 2010 The coursework element was removed from GCSE Mathematics assessments in September 2007.
Here, you'll find everything you need to study for or to teach Edexcel GCSE Mathematics A, including key documents and the latest news. Students of our Edexcel GCSE. Much like a master key, a pass in GCSE Maths will open a lot of doors for you; it will allow you to progress to A level studies in the Sciences, it will be one of the. Much like a master key, a pass in GCSE Maths will open a lot of doors for you; it will allow you to progress to A level studies in the Sciences, it will be one of the. | 677.169 | 1 |
This application is a basic tool for learning algebra. Users try to solve a system of linear equations with two equations and two unknown variables. It is based on the same problem used in the free ap... More: lessons, discussions, ratings, reviews,...
The Green family is planning a one-week vacation in Florida and needs to rent a car while there. They must decide which of four rental plans to choose. Students construct graphs to see which plan is b... More: lessons, discussions, ratings, reviews,...
The Green family is planning a one-week vacation in Florida and needs to rent a car while there. They must decide which of four rental plans to choose. Students will enter data into a spreadsheet and ... More: lessons, discussions, ratings, reviews,...
This app, Systems of linear equations in two variables (Algebra for kids), provides a way to help students learn algebra. Students can drag and drop or tap the numbers or variables of the equations to | 677.169 | 1 |
Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.
Major topics include:
Sums
Recurrences
Integer functions
Elementary number theory
Binomial coefficients
Generating functions
Discrete probability
Asymptotic methods
This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. | 677.169 | 1 |
Foundations of Mathematics (MATH 6100) Final Study Guide
Relations, Functions
1. Cartesian products. Denition of a relation. Denition of a function as a
special kind of relation. Parts of a function: name, domain, codomain, rule
of assignment. Familiarity | 677.169 | 1 |
Most viewed
Practice math online with unlimited questions in more than 200.The solutions manual of the book contains detailed solutions to all the problems in the book.Topics include angle relationships, triangles, quadrilaterals, congruency, similar figures, constructions, area, volume, and the Pythagorean Theorem.Enjoy these free sheets.High School Geometry Common Core Standards.P High School.. Read more
Rid the galaxy of the alien infestation in this retro blaster.The game is rather simple.Download, download, download, download, mORE PS vita games, football on the move.Join The Resistance and capture invisible creatures living all around you.Sound: Built-in stereo speakers, built-in microphone, sensors: Six-axis motion sensing system (three-axis gyroscope, three-axis accelerometer.. Read more | 677.169 | 1 |
Presents calculus development by integrating technology (with either graphing calculator or computer). The "Computational Windows" feature offers insights into how technological advances can be used to help understand calculus. Also available: Student Survival Manual (0-13-3-5814-X); and Instructor's Solutions Manual (0-13-178732-2).
"synopsis" may belong to another edition of this title.
From the Publisher:
Explicating key concepts through greater verbalization and visualization than in other texts, this book provides students with not only sound calculus development, but innovative pedagogy and superb problems. Technology (with either graphing calculator or computer) is extensively integrated into the text, including key-stroke specific technology manuals containing some textual material, as well as supplementary lab assignments.
From the Back Cover:
Key Benefit: Although an abundance of stimulating problems are provided, this beginning calculus book helps readers connect areas of mathematics and areas of application. Key Topics: An excellent range of problems from a wide variety of mathematical engineering, scientific and social fields. Guest essays portray important people who have alternative points of view on various mathematical subjects. Market: A reference book for engineers and scientists. | 677.169 | 1 |
Schooi of Eieclrical Engineering and Compuier Science
(See new dds for Calculus Formulas)
IMPORTANT FACTS BOLDFACE. USE upper i signs with. upper; lower with lower. - means equals by definiiion". a: means impiies
The positive direction of measurement of a
EL6303
Sample Midterm Test 1 with Solutions
(This was a real Midterm Test 1 in Fall 2013. For our ePoly class, I may change
Part 1 to regular questions. That is no multiple choices. Part 2 will remain the
same style.
In Fall 2013, we had two midterm tests
A brief history of complex numbers
Math 163: History of Mathematics
The imaginary number i is usually introduced as a solution to the
quadratic equation
x 2 + 1 = 0.
However, it was not quadratic equations that led to the acceptance
of imaginary numbers. | 677.169 | 1 |
06.07 Lab Questions
Before watching the video, review the following lab questions.
Please select two of the following questions to answer.
Each question must be answered with a minimum of 3-5 complete sentences.
Remember to check your grammar and spelling
I would reccommend this class because common core really helps with math skills and there was never a time I actually struggled in this class, because there's always opportunities to find help.
Course highlights:
We did lots of group work which i think is important in a course because it's good to collaborate with other students especially if you don't understand something. One thing that I'm glad I learned was standard deviation because it was really helpful to me now that I'm taking statistics
Hours per week:
6-8 hours
Advice for students:
Some advice I'd give to students considering this course would be to just study and pay attention in class, you'll be surprised at how easy but informative this class can be. It also really prepares you for what math class you decide on taking afterwards. | 677.169 | 1 |
ATTENTION, PLEASE: MathBitsNotebook.com is being moved to a new server which will enhance interactive access. This move may cause interruptions in availability over the next 7 to 10 days. We apologize for any inconvenience this may cause. Thank you for your patience.
MathBitsNotebook - Algebra 1 is a series of lesson and practice pages for students studying high school Algebra 1. These materials cover ALL standards stated in the Common Core State Standards for Mathematics (Appendix A, traditional pathway for Algebra 1), and coordinate with both SBAC and PARCC assessments. Differences reflected in the PARCC MCF are included and highlighted.
PLEASE READ: The materials (text, graphics, etc.) from this website are protected by copyright law.
There-posting of materials(in part or whole) from this site to the Internet
is copyright violation and is not considered "fair use" for educators.
We pay for the graphics used in this site and they are not free for the taking. | 677.169 | 1 |
Services
BAM! Exclusive Funko 2-Packs
Overview - Foundations of Mathematics offers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics.Read more...
Foundations of Mathematics offers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics. The book presents definitions and examples throughout for clear, easy learning. Numerous exercises are included at the ends of the chapters, and readers are encouraged to complete all of them as an essential part of working through the book. It offers a unique experience for readers to understand different areas of mathematics in one clear, concise text. Instructors' resources are available upon adoption. | 677.169 | 1 |
$185MASTER MATH: ESSENTIAL PHYSICS presents, teaches, and explains the fundamental topics of algebra-based physics. It includes engaging, fun examples and applications, as well as challenging practice problems with explanatory answers. Master Math: Essential Physics was written for you, the student, parent, teacher, tutor, or curious thinker. It covers the essentials of high school and college curricula. It can serve as a supplement to your textbook, a handy reference, or a tutor for lifetime learners. Topics encompass motion, force, momentum, Newton's Laws, equilibrium, friction, forces in nature, energy, work, elasticity, harmonic motion, static and moving fluids, heat, temperature, gas, electric fields, electromagnetism, direct and alternating current, waves, sound, radiation, light and optics, and an introduction to relativity, quanta, the atom, dark matter, and dark energy.
Author Biography
Debra Anne Ross Lawrence is the author of other books in the Master Math series as well as the author of The 3:00 PM Secret: Live Slim and Strong, Live Your Dreams; The 3:00 PM Secret 10-Day Dream Diet; and Arrows Through Time: A Time Travel Tale of Adventure, Courage, and Faith. Debra earned a double Bachelor of Arts degree in Biology and Chemistry with honors from the University of California at Santa Cruz and a Master of Science degree in Chemical Engineering from Stanford University. David Allen Lawrence holds Bachelor and Master of Science degrees from the Massachusetts Institute of Technology and a Juris Doctor cum laude from the University of Minnesota. | 677.169 | 1 |
requirements2012
1.
th Math Requirements: 8 GradeHOMEWORK: Homework will be given every day. All calculationsmust be done in pencil, and students must show their work. Studentsreceive a 100 point homework grade at the beginning of each trimester. Amissed or incomplete homework assignment results in a five pointreduction of the homework grade. The homework grade is 5% of thetrimester grade.NOTEBOOK: Students are required to keep a math notebook whichconsists of daily notes, sample problems, homework, and quizzes. Inaddition, students are required to keep track of all test and quiz grades, aswell as missed homework, on a grade grid, which is an up-to-date record ofthe student's progress. This must be kept in the front of the notebook.Notebooks will be grade periodically on organization, completeness,neatness, corrections made, and calculations done in pencil. The notebookcounts as 5% of the grade for the trimester.TESTS AND QUIZZES: There will be at least one quiz and onetest on each chapter. Test grades count as 60% of the trimester grade,and quiz grades count as 30% of the trimester grade.MIDTERM AND FINAL: The midterm and final exams eachcount 12.5% of the final year-end grade. | 677.169 | 1 |
About the author
Rhonda Huettenmueller is the author of the best-selling book in the Demystified series, Algebra Demystified. Popular with students for her ability to make higher math understandable and even enjoyable, she incorporates many of her teaching techniques in this book. Ms. Huettenmueller has taught mathematics at the college level for almost 15 years. She received her Ph.D. in mathematics from the University of North Texas.
Pre-Calculus Demystified leads the reader through all the intricacies and requirements of this essential course
Whether you need to pass a class, a college requirement, or get a leg up on more advanced topics, this book provides clear explanation with a wealth of questions, answers and practical examples.
Packed with practical examples, graphs, and Q&As, this complete self-teaching guide from the best-selling author of Algebra Demystified covers all the essential topics, including: absolute value, nonlinear inequalities, functions and their graphs, inverses, proportion and ratio, and much more. | 677.169 | 1 |
Description - Math Proofs Demystified by Stan Gibilisco
Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard "Demystified" level, questions and answers, and accessibility.
Author Biography - Stan Gibilisco
Stan Gibilisco is one of McGraw-Hill's most prolific and popular authors. His clear, reader-friendly writing style makes his math and science books accessible to a wide audience, and his background in research makes him an ideal editor for professional handbooks. He is the author of Geometry Demystified; Trigonometry Demystified; Statistics Demystified; Everyday Math Demystified; Physics Demystified; Electronics Demystified; Electricity Demystified; The TAB Encyclopedia of Electronics for Technicians and Hobbyists; Teach Yourself Electricity and Electronics; and The Illustrated Dictionary of Electronics. Booklist named his McGraw-Hill Encyclopedia of Personal Computing a "Best Reference" of 1996. | 677.169 | 1 |
97807487355 National Curriculum Mathematics: Target Book 5
This book is specially written for Foundation GCSE pupils. Each chapter uses simple language and small steps and caters for a wide range of teaching and learning styles. Support for homework, and 'Homework/Review' exercises are clearly flagged throughout. Regular chapter reviews, consolidation exercises and National Curriculum Test-style questions aid understanding and prepare pupils for the Key Stage 3 Test. Practical work and structured investigations in contexts add to the excellent support for Foundation pupils | 677.169 | 1 |
1. Additive Number Theory - Fall 2004 taught by Michael Schein
Prerequisites: algebra (Math 122), some real analysis (as in Math 112 or
Math 23, 25 or 55) would be useful as well.
Description:
If you have a set of integers, what can you say about its sumset (the set
of numbers that can be written as a sum of two elements of your set)?
Or conversely, if you know the sumset, what can you say about the
original set? If your set contains lots of arithmetic progressions of
length three, what can you say about the chances of finding longer ones?
The answer to all of these: more than you might think! Additive number
theory is an exciting field that doesn't use as much heavy machinery as
most areas of mathematics, which makes it great for a tutorial.
First we'll study some fundamental theorems, and then we'll be ready to
plunge into research articles (some of them only a few months old!) that
apply them to questions like the ones above, and many more. We'll also
look at connections with algebraic number theory and analysis. If you
want to become devilishly clever, add some useful methods to your toolbox,
and can't wait until grad school to read preprints, this is the tutorial
for you.
Description:
The illustrious story of curves and surfaces lies at the intersection
of complex analysis, topology and algebraic geometry. In this tutorial
we will try to use the classification of surfaces as motivation to learn
many fundamental techniques, concepts and constructions.
We will also work with such topics as singularities, sheaves, singular
and Cech cohomology, K3 surfaces, abelian varieties and whatever else
we can squeeze in. In retrospect, this is all the stuff I wish I had
learned as an undergraduate but never got a chance! | 677.169 | 1 |
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Summary
Now in its 13th Edition, Today's Mathematics: Concepts, Methods, and Classroom Activitiess helps readersthoroughly understand today's NCTM standards and how to present them in the most effective way possible. Readers will find improved and increased coverage of technology while benefiting from a new feature that addresses math anxiety. A new chapter on developments in Common Core State Standards, PARCC and SBAC assessments is included. Elementary math teachers will quickly discover how to put the principles of mathematics to work in the classroom. This text includes increased coverage of diversity while integrating the latest NCTM guidelines. Today's Mathematics: Concepts, Methods, and Classroom Activities 13th Edition provides teachers with a resource that provides a valuable set of ideas and reference materials for actual classroom use. | 677.169 | 1 |
National 5
The National 5 Mathematics Course enables learners to select and apply mathematical techniques in a variety of mathematical and real-life situations. Learners interpret, communicate and manage information in mathematical form
Within the new National 5 Qualification there are three Units
Expressions and Formulae
Relationships
Applications
At the end of each unit pupils will sit a unit test which they need to pass in order to sit the final exam. | 677.169 | 1 |
Category: Trigonometry
Basic analytic tools include the Fourier transform, the theory of distributions, Sobolev spaces, and techniques of harmonic and functional analysis. In brief, learning is fun and interesting with TutorVista sessions. It is 1279 pages long and it takes great pains to be pedagogically sweet. The Great Courses Products and Services are provided for your personal use only. We just need to find the length of its short side now. Greek texts became known to European monks and scholars who travelled with the armies through Constantinople on their way South to the Holy Land.
Portland, OR "Your programs were instrumental in helping me pass and more importantly, understand, the Algebra and Business/Finance math courses that I had to take to obtain my Associates degree." - Mark C. A waiver by us of any default shall not constitute a waiver of any subsequent default. This chapter is in no sense a course of geometry, or of geometrical reasoning, but merely a brief descriptive account of geometrical terms and of certain fundamental geometrical theorems which will make the succeeding chapters more easily understood.
Students will use mathematical relationships to generate solutions and make connections and predictions. Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Modeling. Use concepts you've learned in the course to distinguish between permutations and combinations and provide precise counts for each. x What are your chances of winning the lottery? Also, the relation to hyperbolic functions is easily seen: sin ix = i sinh x, cos ix = cosh x and tan ix = i tanh x.
The description for it, I feel, was inaccurate. The parts of a triangle may be relabeled, and any formula involving them is still valid. Having solutions (and for many instructors even just having the answers) readily available would defeat the purpose of the problems. Quadratic functions word problems, type in algebra problem and get answer, nonlinear differential equation solve. The functions for the angles listed "down" the left side are across the top of the page while the functions for the angles listed "up" the right side are across the bottom of the page.
This trigonometry computer software program contains 26 learning sections (30-60 minutes each) and two practice tests with explanations and solutions. To get started, choose a book below and click Submit. Anyone who needs to take MATH 2413 (Calculus I) and who has not already taken MATH 1316 (trigonometry) or equivalent. Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. Using the math worksheets over breaks and during the summer will allow children to stay sharp and get ready for the upcoming school term.
Picture a line which can turn around one of its ends, like the hand of a clock. You'll find answers to dozens of real questions from students who needed help understanding the basic concepts of geometry. The game will ask you how tall and wide of a play box to use. And we give names to each side: The special functions Sine, Cosine and Tangent help us! Taught by an experienced YayMath instructor, viewers gain knowledge in the study of trigonometry: the relationship of angles and the triangles they are in.
Welcome to Teaching Channel, where you can see hundreds of videos of inspiring teachers. Because it's just like the situation we had somewhere on the board here. The Babylonian astronomers recorded astronomical data systematically and by the Seleucid period (330-125BCE) there were a great many astronomical tablets showing ephemerides for the moon and the major planets. The very last site is just for teachers who may want a refresher at the professional level on basic but essential concepts.
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The Math::Trig handles this by using the Math::Complex package which knows how to handle complex numbers, please see Math::Complex for more information. Also, when I first started this site I did try to help as many as I could and quickly found that for a small group of people I was becoming a free tutor and was constantly being barraged with questions and requests for help. Choose other words to describe the problem. So that's the first thing that shows up here. arcsin(y/a), all over 2.
Find the distance he walked towards the building. Theoretical geometry in the Euclidean sense was virtually unknown until the first translations of Euclid appeared in the West. Though the project dovetailed with the kind of advanced work her upper-level students were doing, Bruski says Whaley's shop students, most of them freshmen, eagerly tackled the trigonometry. "The math we were doing to calculate all this was way more advanced than what we're doing right now in class, so it was a whole new lesson we had to learn," says student Kendall Hood. "It's different to see how the math you are doing in class relates to real life. | 677.169 | 1 |
Find a Martinez Algebra 2Although Hence, I felt that it was important that the student showed improvementPrecalculus introduces to students some of very important functions that they will see very frequently in application problems in sciences, techniques and daily life. They are the functions of trigonometry, exponent, logarithm. Precalculus also goes further in elementary geometry such as graphs of parabolas, ellipse and hyperbolas. | 677.169 | 1 |
Complex Analysis: Point Sets in the Complex Plane
In this complex plane learning exercise, students describe definitions words relating to a complex plane and point sets. They give examples for each definition. This two page learning exercise contains thirteen problems. | 677.169 | 1 |
Common Problems Students Encounter When Studying Math
Almost all individuals state that learning math is one of the hardest tasks when studying. Of course, there are numerous formulas individuals need to remember. Apart from that, there are also different branches of mathematics individuals need to understand. This gets even worse since some individuals experience some problems when studying math. Below are some of the following.
Errors in Communication
The main reason why students cannot understand mathematical lessons is due to errors in communication. This is commonly caused by teacher hostility, student shyness, bad handwriting or unclear wording. Therefore, it is important for students to listen closely to avoid such issue.
Confusion about Notation
Another issue that can affect math lessons is confusion about notations. This issue commonly occurs due to difficulties in learning the language of mathematicians. Thus, it is important for instructors to clear these things. And, one of the best options is to reduce confusion by clearly explaining each formula or terms.
Errors in Reasoning
Finally, students also have difficulties in learning math due to errors in reasoning. The best way to avoid this is to go over your work. Most mathematical problems make use of specific formulas. So, students need to make sure that they think of their lessons first to choose the right formula to make use of. | 677.169 | 1 |
Slope Practice for Physics Students
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this file type before downloading and/or purchasing.
200 KB
Product Description
Four page worksheet for incoming students for a high school physics class. Students calculate the tangent and slope of various graphs. The calculate slope of a tangent. Offers a variety of graphs that will show up in a physics course. | 677.169 | 1 |
Algebra Project - "Haikus and Complex Numbers"
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this file type before downloading and/or purchasing.
368 KB|3 pages
Product Description
The purpose of this assignment is for students to make interdisciplinary connections between math and English courses, while allowing creativity and imagination. In this revised file, I have added an easy grading rubric and project exemplars. I also added my "A Brief History of Complex Numbers" sheet to give your students background information. My students love it and so will yours! | 677.169 | 1 |
Chapter 2: Linear Functions
Chapter one was a window that gave us a peek into the entire course. Our goal was to understand the basic structure of functions and function notation, the toolkit functions, domain and range, how to recognize and understand composition and transformations of functions and how to understand and utilize inverse functions. With these basic components in hand we will further research the specific details and intricacies of each type of function in our toolkit and use them to model the world around us.
Mathematical Modeling: As we approach day to day life we often need to quantify the things around us, giving structure and numeric value to various situations. This ability to add structure enables us to make choices based on patterns we see that are weighted and systematic. With this structure in place we can model and even predict behavior to make decisions. Adding a numerical structure to a real world situation is called Mathematical Modeling.
When modeling real world scenarios, there are some common growth patterns that are regularly observed. We will devote this chapter and the rest of the book to the study of the functions used to model these growth patterns. | 677.169 | 1 |
Basic College Mathematics A Text/Workbook, 3rd Edition
Learning basic mathematics is easy and engaging with this combined text/workbook! BASIC COLLEGE MATHEMATICS is infused with Pat McKeague's passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague's proven "EPAS" approach (Example, Practice Problem, Answer, and Solution) moves you through each new concept with ease while helping you break up problem solving into manageable steps. Real-world applications in every chapter of this user-friendly book highlight the relevance of what you are learning | 677.169 | 1 |
Sharp Math: Building Better Math Skills
Item is available through our marketplace sellers and in stores.
Overview most help.
Math from basic arithmetic to Algebra 2, broken down by subject and then building up from chapter to chapter so readers can group concepts together for easier learning.
A variety of practice exercises with detailed answer explanations for every topic.
A 15-20 question recognition and recall practice set that includes material from the entire chapter (and a few questions that cover material from the previous chapters), to once again reinforce what the reader has learned on a larger scale. Detailed answer explanations follow the practice set.
Related Subjects
Read an Excerpt
TOC, Chapter 1
Meet the Author | 677.169 | 1 |
RELATED INFORMATIONS
For any associative algebra A with multiplication ∗, one can construct Lie algebra L(A). As vector space, L(A) is same as A. The Lie bracket of two elements .... Pearson Prentice Hall and our other respected imprints provide educational materials, technologies, assessments and related services across secondary curriculum.. Welcome Algebra 2. This course will make math come alive with its many intriguing examples of algebra world around you, baseball theater lighting .... Learn algebra 2 free—tackle more complex (and interesting) mathematical relationships than algebra 1. Full curriculum of exercises and videos.. Algebra-equation.com includes vital material purple math calculator, polynomial and quadratic and other algebra subjects. In cases where you seek assistance .... After completing tutorial, you should be able : Know if ordered pair is solution system of linear equations .... | 677.169 | 1 |
HIGHER ORDER SQUARE
MATRICES
MATH 15 - Linear Algebra
PROPERTIES OF DETERMINANTS
For all square matrices, the following properties hold:
1. If a row or a column of a given matrix is a multiple
or equal to another row or column, then the
determinant is equ
SUBSPACES vectors
SUB
SOLUTIONS OF LINEAR
SYSTEMS OF EQUATIONS
Prepared by:
Teresita P. Liwanag Zapanta
B.S.C.E., M.S.C.M., M.Ed. (Math-units), Ph.D.T.M. (on-going)
Definition: An m x n matrix A is said to be in
reduced row echelon form if it satisfies the
following properties
BASIS AND DIMENSION v
Prepared by
Prof. Teresita P. Liwanag Zapanta
BSCE, MSCM, MEd-Math (units) PhD-TM (on-going)
At the end of this lesson, the students are
expected to :
Define real vector spaces
Determine ways of writing vectors.
Identify the properties of the real vectorBASIS AND DIMENSION, RANK
AND NULLITY
Week 7
SKILLS OBJECTIVES
1. Show that a set of vectors is a basis for a vector space.
2. Find the coordinates of a vector relative to a basis.
3. Find the coordinate vector of a vector relative to a
basis.
4. Find a b
David Vasquez Leviste
2015150641 A24
Questions for Chapter 11 Substance Abuse Education
1.
State your view or opinion about the topic?
Here in the Philippines, it is not unusual to hear news about drug related crimes;
from usual drug buy-and-bust operatio
VECTORS
IN
MATH 15 - Linear Algebra
VECTOR
A vector is a quantity that has both magnitude and
direction. Mathematically, we can represent a vector
graphically in the plane by a directed line segment or
arrow that has its tail at one point and the head of
Math 15-1 Quiz 2
Set F
Solve the following problems. Show your complete solutions the box your final
answer.
(10 points each)
1. Given the set of all ordered triples of real numbers
multiplication defined as follows:
x, y , z
with the addition and scala | 677.169 | 1 |
Search Results
Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need >>
This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering. This introductory textbook was written >>
Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before >>
This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the >>
Fourier Analysis in Probability Theory provides useful results from the theories of Fourier series, Fourier transforms, Laplace transforms, and other related studies. This 14-chapter work highlights the >>
Partial Differential Equations: Topics in Fourier Analysis explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows >>
Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential >>
In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian >>
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. >>
Never Highlight a Book Again! Cram101 Textbook Outlines gives the student all of the highlights, notes, and optional access to the practice-tests for their textbook. Only Cram101 is Textbook Specific, >>
This book examines applications of Fourier analysis on finite non-Abelian groups, and discusses different methods to determine compact representations for discrete functions providing for their efficient >>
Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. >>
For physicists, engineers and mathematicians, Fourier analysis constitutes a tool of great usefulness. A wide variety of the techniques and applications of the subject were discussed in Dr Körner's highly >>
Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. >>
In this book the authors give the first necessary and sufficient conditions for the uniform convergence a.s. of random Fourier series on locally compact Abelian groups and on compact non-Abelian groups. >> | 677.169 | 1 |
Michael Gibson - Online Planet 9 Class for GCSE Maths
This course is targeted at students aspiring to achieve either a Level 8 or Level 9 in GCSE Mathematics. The aims of the course are as follows
To focus on challenging questions found towards the end of exam long. The sessions are fortnightly and will start in January or February 2017. If your interested in this course contact us | 677.169 | 1 |
Math for General Education Flashcards
Math for General Education Advice
Math for General Education Advice
Showing 1 to 3 of 8
I would recommend this class because math is very difficult for me. This was the first class I was able to actually feel smart in!
Course highlights:
I learned more about life than I thought I would. Professor Endres taught us about how math is actually used in our lives.
Hours per week:
3-5 hours
Advice for students:
Definitely go to class! Also, take very good notes because he puts stars next to things that will be on the test. Attendance is 10% of your grade (a thing in the syllabus I forgot) so make sure to show up. | 677.169 | 1 |
Showing 1 to 14 of 14
Math 472: Computer Assignment 2 due Monday, Oct.24, 2005
1. In the 1968 Olympic games in Mexico City, Bob Beamon established a world record with a
long jump of 8.90 meters. This was 0.80 meters longer than the previous world record. Since
1968, Beamons ju
Math 472: Computer Assignment 6 due Wednesday, Dec.7, 2005
1. (a) Use the linear transformation from Problem 2 in Assignment 8 to modify the Matlab program PSBVP.m so that you can solve linear 2-pt BVPs on arbitrary intervals [a, b] with
boundary conditio
Math 472: Computer Assignment 5 due Wednesday, Nov.30, 2005
1. Execute the command plot(sin(1:3000),.) in Matlab. What do you see? What does this
have to do with aliasing? Give a quantitative answer, explaining exactly what frequency is being
aliased by y
Math 472: Assignment 2 due Monday, Sept. 26, 2005
1. Present a detailed discussion of the end of the proof of convergence of Eulers method (equations
(7) and (8).
2. Do Exercise 1.1 in the textbook.
3. Do Exercise 1.4 in the textbook.
Math 472: Assignment 4 due Monday, Oct. 17, 2005
1. Do Exercise 2.6 in the textbook.
2. Do Exercise 3.4 in the textbook.
3. By considering the scalar equation y (t) = f (t), i.e., f is independent of y , show that in this case
the classical fourth-order R | 677.169 | 1 |
Matrix Review
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68 KB|6 pages
Product Description
This worksheet reviews the following concepts about matrices: naming by size, adding, subtracting, multiplying, knowing the size of the answer when performing operations, finding the determinant, knowing why there are inverses, and solving systems with matrices. | 677.169 | 1 |
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Unit Conversion Tutor
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Understanding scientific notation, the metric system and unit conversions is a must for students of math and science. This comprehensive course teaches these concepts in detail and illustrates each with sample problems. Segments on scientific notation, the metric system and SI units are followed by individual lessons on unit conversions involving length, area, volume, speed, mass and weight and density. | 677.169 | 1 |
Details about Beginning and Intermediate Algebra:
The new edition of BEGINNING & INTERMEDIATE ALGEBRA welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help students succeed in Beginning Algebra and transition to the next level in their coursework. The new edition has been thoroughly updated with new pedagogical features and a new interior design that make the text both easier to read and easier to use. Based on their years of experience in developmental education, the new accessible approach builds upon the book's known clear writing and engaging style which teaches students to develop problem-solving skills and strategies that they can use in their everyday lives The new edition of BEGINNING & INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. Sample questions asked in the 6th edition of Beginning and Intermediate Algebra: Vocabulary and Concepts Fill in the blanks. An integer that cannot be evenly divided by 2 is called an ___ integer. Solve. See Example 3. (Objective 1) Speed of trains Two trains are 330 miles apart, and their speeds differ by 20 mph. They travel toward each other and meet in 3 hours. Find the speed of each train. SOMETHING TO THINK ABOUT Suppose there were no numbers other than the odd integers. Would the closure property for addition still be true? Would the closure property for multiplication still be true? Would there still be an identity for addition? Would there still be an identity for multiplication?
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Rent Beginning and Intermediate Algebra 6th edition today, or search our site for other textbooks by R. David Gustafson. Every textbook comes with a 21-day "Any Reason" guarantee. Published by CENGAGE Learning. | 677.169 | 1 |
DescriptionThis new edition includes:* An expanded section on encryption* Additional examples of the ways in which theory can be applied to problems in computing* Many more exercises covering a range of levels, from the basic to the more advancedThis book is ideal for students taking a one-semester introductory course in discrete mathematics - particularly for first year undergraduates studying Computing and Information Systems.PETAbout Peter Grossman
PETER GROSSMAN has worked in both academic and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing of mathematics courses for Computer Science students. He is based in Australia and currently works in industry, in the areas of mathematical modelling and software development.show more
Back cover copy This new edition includes: - An expanded section on encryption
- Additional examples of the ways in which theory can be applied to problems in computing
- Many more exercises covering a range of levels, from the basic to the more advanced This book is ideal for students taking a one-semester introductory course in discrete mathematics - particularly for first year undergraduates studying Computing and Information Systems. PETTable of contents
List of symbols.- Introduction to Algorithms.- Bases and Number Representation.- Computer Representation and Arithmetic.- Logic.- Sets and Relations.- Functions.- Induction and Recursion.- Boolean Algebra and Digital Circuits.- Combinatorics.- Introduction to Graph Theory.- Trees.- Number Theory.- Algorithms and Computational Complexity.show more
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Timmons, Johnson, and McCook provide an applied text for intermediate algebra students not continuing in math and science. Students are encouraged to develop and test mathematical models in a variety of real-world applications such as personal finance and home decorating. The use of technology is introduced, although not required, through end-of-chapter lab exercises.
"synopsis" may belong to another edition of this title.
About the Author:
Daniel L. Timmons is an Instructor of Physics and Mathematics at Alamance Community College.
CathCatherine W. Johnson is Associate Dean of Arts and Science at Alamance Community College.
Sonya M. McCook is Department Head of Mathematics at Alamance Community College.
Review:
"The mathematical skills and thinking skills learned by students who successfully completed this course with this text will [make them] very well prepared to enter the workforce."
"The progression of topics is excellent. The presentation of topics is unthreatening, user-friendly, and concise with excellent examples to support concepts and special cases. Applications were well chosen to prepare students with practical skills for employment."
"We adopted this book because it gave a heavy application approach to mathematics without overwhelming the student in 'traditional' algebra. It has been a huge success, as the number of students successfully passing this course has increased over the previous course."
"I believe that their [the author's] goals are in line with the goals for the national mathematical organizations, our state's goals, the course goals, and our class goals. The students get an extensive covering of applications, with enough algebraic content to balance the course out nicely."
"One of my favorite ideas of this book is the continual stressing of linear functions. This book definitely 'overkills' the concept of linear equations and functions, and that's a good thing. By the time the students finish the course, they have a firm grasp of this topic and how to use it, which gives them the flexibility and confidence to handle other functions in a similar manner." | 677.169 | 1 |
Collaborative filtering
Differential equation
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. Differential equations play a prominent role in engineering, physics, economics, and other disciplines.
more from Wikipedia
Tensor
whose columns are the forces acting on the,, and faces of the cube. ]] Tensors are geometric objects that describe linear relations between vectors, scalars, and other tensors. Elementary examples of such relations include the dot product, the cross product, and linear maps. Vectors and scalars themselves are also tensors. A tensor can be represented as a multi-dimensional array of numerical values | 677.169 | 1 |
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Designed to accompany and complement the Easy Learning Irish Grammar in the widely acclaimed Collins Easy Learning range, Collins Easy Learning Irish Verbs offers beginners a clear and easy-to-understand guide to Irish verbs. Collins Easy Learning Irish Verbs has been designed for all those learning Irish at school, work or home. The main section of the book consists of 115 fully conjugated verbs, both regular and irregular.The introduction gives a clear explanation of the main tenses and moods in which the verbs are conjugated. It also points out that the forms given in the verb tables conform to the Official Standard of Irish, with additional notes on the principal dialect variants. Finally, an alphabetical index lists many widely used Irish verbs, including the key verbs which appear in full in the verb tables.• Collins Easy Learning Irish Verbs shows all the major tenses and moods of the most important Irish verbs in full.• A list of the 115 key verbs is given in the introduction.• Clear layout ensures that you find the information you need quickly and easily.Other titles available in the Collins Irish range are: Collins Easy Learning Irish Dictionary, Collins Easy Learning Irish Grammar, Collins Irish Gem Dictionary and Collins Irish Pocket Dictionary.
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Mathematics Made Easy: Number Theory Answer Key is a Secondary Mathematics book designed to assist educators and parents in evaluating their students' progress. This book provides answers to topics that relate to Number Theory Problems. These include: Identifying Whole Number Place Value Rounding Whole Numbers Identifying Different Types of Whole Numbers Calculating The LCM and HCF of Different Numbers Basic Operations and Whole Numbers Solving Problems with Several Operations The Number Theory Answer Key is the 2nd book in the Mathematics Made Easy Series. The objective of the series is to breakdown various Mathematical concepts into their most basic forms so that students can understand them. These series of workbooks give students the opportunity to review the topic and hence gain a better understanding of the topic. There are a total of 24 books in the Mathematics Made Easy Series that are comprised of both workbooks and answer keys. The exercises are short and comprehensive, giving students the opportunity to master the topic with ease. The series is authored by Paula Burrows, a veteran Mathematics educator with 19 years experience in the classroom."
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From one of America's leading nutritionists comes an easy-to-use guide to the glycaemic index of a wide range of common foods and beverages. Designed to be used at home or on the go, this will quickly become the first resource you turn to whenever you want to select a food that can help you reach your health and dietary goals. This book provides both the glycaemic index and the glycaemic load of hundreds of foods and beverages, including raw foods, cooked foods, and popular combination and prepared foods. It: makes foods easy to find by listing them both singly and under helpful categories; includes tips within the listings to guide you towards the best food choices; provides lists of ethnic foods for use at your favourite restaurant; presents easy-to-understand explanations of glycaemic index, glycaemic load and other important terms; and, expands your food choices by helping you integrate high-glycaemic index foods into your diet.
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I want to thank you for checking out the book, "Domain Driven Design: How to Easily Implement Domain Driven Design - A Quick & Simple Guide." This book contains proven steps and strategies on how you can implement the domain-driven design approach in your projects to bring out better results. Through the domain-driven design approach, you and your project team will better understand the domain that you aim to serve and communicate in a common language that can ensure harmony and team work with your group. You will be able to finish the whole design and development process focused on what is truly essential. Thanks again and I hope you enjoy it!
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How to Housebreak Your Dog with Simple Short Step by Step Formula Tired of cleaning up dog urine every time you come home? Can't get pee smell and stain out of carpet? Want a step-by-step housebreaking formula that's realistic? Housetraining doesn't have to be hard. The secret is to find what works and continue using it. In the guide "The Easy Way to Housebreak Your Dog in 10 Days!" you'll learn how to stop your pet going in your house in under an hour. Just follow this seven step formula. The best part? The entire process will only take 60 minutes to start. Stop Believing the Lies-Learn the *Right* Way to Housetrain Your Dog Today Inside this guide you will discover: THE STEP TO SUCCESSFUL HOUSEBREAKING MAN'S BEST FRIEND HOW TO HOUSEBREAK A PUPPY PUPPY HOUSEBREAKING THE SIMPLE WAY MY PROVEN STEP-BY-STEP SYSTEM THE MOST IMPORTANT STEP IN HOUSEBREAKING WHY YOU CREATE TRAINING YOUR DOG HOW TO YOU GET YOUR DOG TO LOVE HIS CREATE CANNOT AFFORD A CREATE USE A BOX HOW TO STOP A PUPPY CRYING AT NIGHT THE FASTEST WAY TO HOUSEBREAK AN OLDER DOG THE BEST WAY HOUSEBREAK STUBBORN DOGS INSTANT REINFORCEMENT TREATS DOGS LOVE It's not hard to housetrain a dog. Just follow this blue print and you can do it today. Would You Like To Know More? Download now and start getting results today. Scroll to the top of the page and select the buy button. | 677.169 | 1 |
Algebra 1 help
An annotated list of websites offering algebra tutorials, lessons, calculators, games, word problems and books.One-to-One algebra tutoring allows the student to work together with his or her instructor in a private online classroom geared towards the.For students and parents, includes lessons, step-by-step calculators, worksheets, and other algebra resources.Students in need of Algebra 1 help will benefit greatly from our interactive syllabus.We break down all of the key elements so you can get adequate Algebra 1.Algebra 1 is more advanced than Pre-Algebra and will increase your chances in college.Test Prep and Practice: The following study materials have been provided by the math department to help assist students when preparing for the Algebra I Keystone Exam.This section contains explanations of key algebra topics with interactive examples and quizzes.
Chapter 2 Algebra 1 Study Guide
Note that you do not have to be a student at WTAMU to use any of these online tutorials.
CCSS Algebra 1 Resources Subscription is a creative collection of over 610 (and growing) printable and multi-media materials to be used with students.Hotmath explains math textbook homework problems with step-by-step math answers for algebra, geometry, and calculus.
I Love Math
The best multimedia instruction on the web to help you with your homework and study.
Algebra 2 Solving Linear Equations and Inequalities
Read reviews, compare customer ratings, see screenshots, and learn more about Algebra.Let us throw some explanations, examples, and practice problems at your problem.Please read our Terms of Use and Privacy Notice before you explore our Web site.Free math lessons and math homework help from basic math to algebra, geometry and beyond.Whole Numbers. Decimals. Fractions. Percents. Integers and Rationals.
The Word Math Clip Art
In this video we look at word problems that involve denominations of money.Here are some rules: Any number raised to the zero power (except 0) equals 1.This course will make math come alive with its many intriguing examples of algebra in the world around you, from baseball to theater lighting to.
The best way to master Algebra - JEE Mag - Plancess
Algebra Math Problems with Answers
Algebra Math Joke
This Prentice Hall Algebra 1 Companion Course uses simple and fun videos to help students learn algebra and earn a better grade.From Pre-Algebra to College Algebra, Algebrator reduces your homework time while.Here is a graphic preview for all of the Algebra 1 Worksheet Sections.Students, teachers, parents, and everyone can find solutions to their math.There are several ways to navigate this site. "Pacing" (above) takes you to the Henrico County pacing...Algebra - Eighth 8th Grade Math Standards, Grade Level Help, Internet 4 Classrooms Internet resources to prepare for mathematical processes state assessment. | 677.169 | 1 |
Don't love playing with numbers? Mathematics is just not for you
A courseprofile of BSc (H) Mathematics as elaborated by Sudha Arora, Lecturer, Deen Dayal Upadhayay College to HT correspondent.
Mathematics represents a high level of abstraction attained by the human mind. It is more than adding, multiplying and dividing. Mathematics as a subject is becoming increasingly popular owing to its applications in a wide field of study and research. Everything that is designed, built or organised needs to be logically calculated - from the insurance premium offered by a company to the measurement needed for a new bridge.
Being a mathematician is not every individual's dream. However, those with a burning desire to play and work with numbers are fascinated by this subject. Solving problems, learning new techniques and an urge to innovate and advance methods matters. One should have the ability to put in hard and smart work. One should be able to adapt as well as set new standards to be an expert. These qualities will ensure good financial rewards multiplied by job satisfaction to the power of many career options. Employers value the skills that mathematics graduates bring to the workplace such as ability to handle difficult problems and think logically.
In Delhi University, the course is known as BSc (Hons) course. The course has been recently revised and provides a comprehensive survey of areas such as analysis, algebra, statistics, computer programming etc. The course is market friendly and job oriented. The revision has done away with BA/BSc (H) and a single BSc degree will be given. It has integrated computer software such as Matlab, Mathematica and Maple. Delhi University has provided this software to all the colleges, which students can use on the computers. The software would help students visualise the problems with the help of 3D illustrations and figures.
It has been observed that for recruitment in various companies, computer knowledge and application based mathematics is required. These points have been taken care of in papers like financial mathematics and C++ programming and numerical methods.
To take up the BSc (H) course in mathematics one needs to have studied mathematics till Class XII. All students who wish to pursue the course can look forward to developing their logical ability and analytical skills.
After graduation students can opt for masters in mathematics, statistics, operations research, and computer applications. There is plenty of scope in banking, insurance sectors, civil and statistical services. Opportunities are also open in the field of aerodynamics and market research. Mathematics also offers the scope of being teachers, lecturers or professors in schools and colleges. Therefore, a bachelor's degree in mathematics prepares a student for fascinating jobs in statistics, mathematical modeling, actuarial sciences, cryptography and teaching. A strong background in mathematics is also necessary for research in many areas. | 677.169 | 1 |
College Algebra
ID : 59786
Description: We can all think of ways that basic math – addition, subtraction, multiplication, etc. – are useful in daily life. Despite the combination of letters and numbers, parentheses and exponents, algebra has just as much use as these basic functions not only in daily life, but in every job function as well. College-level algebra is another fundamental skill individuals require for success regardless of the industry they enter, particularly in pursuing careers in Business or Computer Science. To address this need, the College Algebra course takes students through the fundamentals of algebra and its endless applications. Students will learn to solve multiple types of equations including both linear and quadratic functions and master the skills necessary to solve challenging word problems, including actual scenarios one encounters on the job. Mastering algebra ensures students have the foundations in math and science necessary for success in any field!
This course presents students with the key concepts of college algebra. Students will be introduced to solving equations and inequalities, functions (including linear, quadratic, polynomial, rational, exponential, and logarithmic), systems of equations and inequalities, and series and sequencesRequirements This course does not require any additional purchases of supplementary materials. | 677.169 | 1 |
Showing 1 to 12 of 12
Curve Sketching
Date: _
Lesson #4: Asymptotes for Rational Functions
LG.: I can determine the vertical, horizontal and oblique asymptotes of rational functions and use them as an aid in curve sketching.
c
0
f ( x)
Recall: A rational function h( x)
has a v
Unit 5: Algebraic Vectors
Date: _
Lesson #3: Operations with Algebraic Vectors
LG: I can perform the operations of addition, subtraction and scalar multiplication on algebraic vectors in space.
Recall: Any vector in
can be written as a position vector fro
Unit 5: Algebraic Vectors
Date: _
Lesson #2: Operations with Algebraic Vectors in
LG: I can perform the operations of addition, subtraction and scalar multiplication on algebraic vectors.
Investigation
Given
a)
and
determine:
b)
c)
In General, given
and
t
Unit IV: Intro to Vectors
Date:_
Lesson #1: Introduction to Vectors
L.G.: I can recognize a vector as a quantity with both magnitude and direction.
Two types of Quantities
Scalar Quantities: possess magnitude(size) only
Vector Quantities: possess magnitud
Unit 5: Algebraic Vectors
Date: _
Lesson #1: Algebraic Vectors in
and
LG: I can demonstrate an understanding of vectors in two & three-space by representing them algebraically.
Vectors in : The Cartesian and Polar Planes
To define a vector we either need
MCV4U
Date: _
Putting it all Together: An Algorithm for Curve Sketching
L.G.: I can use the information given by a functions first and second derivative to create an accurate sketch of the function.
We now have the necessary skills required to sketch accu
Unit IV: Intro to Vectors
Date: _
Lessons #2&3: Geometric Vector Laws and Properties
In many applications of physics, we must find the combined sum of two or more vectors such as forces, displacement and velocity. For
example, how does wind velocity affec | 677.169 | 1 |
Description of the book "Teaching Secondary Mathematics":
Solidly grounded in up-to-date research, theory and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion website offers expanded discussion of chapter topics, additional examples and technological tips. Each chapter features tried-and-tested pedagogical PDF techniques, problem solving challenges, discussion points, activities, mathematical challenges, and student-life based applications that will encourage students to think and do.
New to the 4th edition: * A fully revised and updated chapter on technological advancements in the teaching of mathematics * Connections to both the updated NCTM Focal Points as well as the new Common Core State Standards are well-integrated throughout the text * Problem solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions. * A fresh interior design to better highlight pedagogical elements and key features * A companion website with ePub chapter-by-chapter video lessons, teacher tools, problem solving Q&As, helpful links and resources, and embedded graphing calculators.
Reviews of the Teaching Secondary Mathematics
Up to now about the book we've Teaching Secondary Mathematics responses users have not yet eventually left his or her writeup on the game, you aren't see clearly however. But, should you have previously read this book and you're simply wanting to create his or her studies well have you spend time to go away an evaluation on our site (we can easily release both equally bad and good critiques). Basically, "freedom involving speech" We all totally helped. Your own responses to book Teaching Secondary Mathematics -- additional visitors are able to choose in regards to guide. These kinds of support can certainly make you more United!
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For you guys taking high school or pre-calculus classes we have a lot to offer. We
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Pre Calculus Help
This is a list of subjects you may be interested on
Algebra
Systems of Equations.
Word problems.
Factorization.
Polynomials
Quadratic Equations
Geometry
Triangles.
Areas and Volumes.
Circles.
Lines
Planes
Trigonometry
Circles.
Sine, Cosine, Tangent, Cotangent, Secant, Cosecant.
Pythagoras Theorem.
De Moivre's Formula.
etc.... See some examples:
Problem 1. Solve the following system of equations:
Solution. We have to find
and
in
such a way that (1) and (2) are satisfied simultaneously. The method
consists on eliminating one of the variables using both
equation, multiplying them by the right constants. More precisely,
if we multiply the first equation by 2 we obtain
and now we sum both equations (3) and (4) to get
, which
means that
. Now that we have
, we can find
simply
replacing any of the equations (1) or (2). We choose (1), so we get
, which implies that
, and then
. Summarizing
is the solution.
Problem 2. Rationalize the denominator
Solution. We have the factor
in the
denominator, so we multiply both the numerator and denominator by
the conjugate
, to obtain:
This way, we have found an equivalent expression with no radicals at
the denominator, i.e. | 677.169 | 1 |
CTC Math CTC Math is an interactive online math curriculum for K-12 including calculus, supplemental for any age and independent of common core. Providing over 57,000 interactive questions and over 1,367 animated lessons. | 677.169 | 1 |
This worksheet is designed to develop engineering exercises with Maple applications. You should know the theory before using these applications. It is designed to solve problems faster. I hope you use something that is fully developed with embedded components.
I am very pleased to announce a new user community centered around Maplesoft's online testing and assessment and courseware products. The new site is specifically for instructors and administrators currently using Maple T.A. or Möbius. This community of users are a small, specialised group who we want to bring together so they can share ideas and best practices. To find the community, go to either mapletacommunity.com or mobiuscommunity.com.
"The Maple T.A. Community has grown organically to support new developers as they pool their knowledge and queries. This has resulted in a fluid searchable structure, with answers available for all levels of question - from beginner to pushing the frontiers of what Maple T.A. has been designed to do. Our summer student interns rely on the Community as they become proficient in their question writing skills - and many have become contributors as they realise that they are in a position to teach others. Opening it out more broadly will be great in sharing good practice on a 'need to know now' basis."
----Professor Nicola Wilkin, University of Birmingham
What content is in the community?
The community has many posts from active Maple T.A. and Möbius users from beginners to advanced users. The site is broken down into categories like 'Best Practices' - longer form posts that cover a broader concept in more detail and 'Quick Code snippets' that are small piece of code that you can drop straight into your question algorithms.
Much of the content is openly available and can be found by google, however there is additional content that can only be accessed by members of the community, such as the Maple T.A. school material which teaches you how to author content in Maple T.A. and Möbius.
Who runs the community
The community is jointly run by users based at the University of Birmingham, TU Wien, The University of Turin and TU Delft.
How does this fit into Mapleprimes?
It began as an offshoot of a private, internal customer forum. As this community grows, the ultimate goal is to eventually roll it into MaplePrimes proper. But this alternative site gave us the quickest way to get up and running. Maple T.A. and Möbius questions and posts are still welcome on MaplePrimes, and will continue to be monitored by Maplesoft.
I am pleased to announce the public release of Möbius, the online courseware environment that focuses on science, technology, engineering, and mathematics education. After months of extensive pilot testing at select leading academic institutions around the world, Möbius is now available to everyone for your online learning needs.
We are very excited about Möbius. As you can imagine, many of us here at Maplesoft have backgrounds in STEM fields, and we are truly excited to be working on a project that gives students a hands-on approach to learning math-based content. You can't learn math (or science, or engineering, or …) just by reading about it or listening to someone talk about it. You have to do it, and that's what Möbius lets students do, online, with instant feedback. Not only can students explore concepts interactively, but they can find out immediately what they've understood and what they haven't - not a few hours after the lecture as they are reviewing their notes, not two weeks later when they get their assignments back, but while they are in the middle of learning the lesson.
During its pilot phase, Möbius was used by multiple institutions around the world for a variety of projects, such as preparing students in advance for their first year math and engineering courses, and for complete online courses. Over one hundred thousand students have already used Möbius, and the experiences of these students and their instructors has fed back into the development process, resulting in this public release. You can read about the experiences of the University of Waterloo, the University of Birmingham, and the Perimeter Institute for Theoretical Physics on our web site.
We are also happy to announce that Maplesoft has partnered with the University of Waterloo, one of the largest institutions in the world for STEM education, to provide institutions and professors with rich online courses and materials that enable students to learn by doing. These Möbius courses are created by experts at the University of Waterloo for use by their own students and for their outreach programs, and will be made available to other Möbius users. Course materials range from late high school to the graduate level, with initial offerings available soon and many more to follow.
Visit the Möbius section of our web site for lots more information, including videos, whitepapers, case studies, and upcoming user summits.
Application that allows us to measure the reliability of a group of data through a row and columns called cronbach alpha at the same time to measure the correlation of items through the pearson correlation of even and odd items. It can run on maple 18 to maple 2017. This will be useful when we are developing a thesis in the statistical part.
Ilias Kotsireas is a Professor and Director of the CARGO lab at Wilfrid Laurier University, in Waterloo Ontario.
Throughout my career as a teacher, I've had the opportunity to work with students from around the globe. I've been able to work with students in other countries, immersing myself in their culture and learning environment. This has allowed me to experience the differences in educational delivery first hand, and to assess how education is viewed in other parts of the world.
On more than one occasion, I've visited the city of Guangzhou, China, to teach summer and winter school courses, beginning in 2007 and most recently in 2015 and 2016. During this time, I have witnessed tremendous growth in the development of Chinese Universities, as well as Chinese culture as a whole. For example, the two largest supercomputers in the world - according to the website - are located in China. Another indication of the scale of this extraordinary growth is the fact that China currently has more than 2,000 universities, government research facilities and laboratories. Furthermore, China Central Television (CCTV) programs report that China is planning the creation of an additional 10 mega-cities, each comparable in size to Shanghai.
Ilias Kotserias stands with students and fellow professors at South China Normal University (SCNU) in Guangzhou, China.
Summer and winter school courses in China are incredibly intensive. Such courses can run for one or two weeks and include two lectures per day, one on the morning and one in the afternoon. A tremendous amount of material must be covered in a short amount of time to accommodate the entire course.
Overall, my experiences have shown that students in China are very enthusiastic about education. They are heavily engaged with the learning materials and often spend time with professors at the conclusion of a lecture to converse and ask questions about what they have just learned. Class sizes are significantly smaller and there is a lot of one-on-one time with students. Students in China take their studies very seriously; they are very focused and motivated to do well in their studies, and they bring a great deal of knowledge and curiosity to the classroom. Professors cannot gloss over material or deliver a scripted lecture. Students hold professors accountable, and expect them to be knowledgeable and have a strong understanding of the material. They have a strong desire to learn and gain experiences and relevant skills that they can carry forward with them in their educational and professional careers.
Maplesoft graciously offered short term licenses to my students in China, so they could use Maple in the mathematics courses I was teaching. Using Maple allowed me to continue using an experimental approach to teaching that I use for my students back home in Canada. This approach encourages students to start with simple experimentation that may also contain visual components, develop a plausible conjecture and subsequently attempt to solve it step by step. This promotes a "learn by doing" paradigm that promotes active learning and helps students better understand key mathematical concepts. In a delightful episode, one Chinese student told me "I don't understand your English accent," but in teaching with Maple there are no accents I need to worry about! Chinese students are inquisitive, respectful and conscientious; it is an absolutely gratifying experience working with them.
I was first introduced to Maple when I was completing my Masters and Ph.D in France in the late 1990s. When I began teaching in 2001, I introduced Maple into my classrooms to improve my students' ability to learn the materials, understand difficult concepts, and to create more sustainable engagement with them. Initially, it took some work to convince them to use Maple, as it was not among the conventional learning methods they were used to. Eventually students came to embrace Maple as a learning tool and I was able to use visual and interactive examples to engage them. With Maple, experimentation is at your fingertips and it allows me to incorporate an example-driven learning experience for my students.
It was a valuable experience to work with students from another culture and be able to engage them using the same method I use to engage my students back home. Maple is not only a powerful and convenient teaching tool, but it can also assist in bridging cultural gaps and creating a learning experience that is uniform across the globe. | 677.169 | 1 |
Monday, December 15, 2014
Advanced Math for Young Students
I told Phil, as soon as I laid eyes on the book, that it has the look and feel of an authored work, nothing like the many-authored splendor of a typical commercial textbook.
Plus (and I have to say this) the cover and pages are creamy and smooth, a throwback to the physical beauty of books pre-crash (although of late I've had the sense that decent paper may be making a comeback).
The book is so compelling I may have to buy a second copy to work through myself so the other one can stay on the coffee table.
From the Introduction:
For 26 years, I have been a high school physics teacher. I work in an excellent, well-regarded high school and I have been fortunate to have many talented students who soak up all the physics I can teach them, and more. But every year, I also teach students who struggle to master the topic, despite their great efforts and mine. And I know from discussions with colleagues, both within my school and arose the country, that we are not the only ones struggling. There is something getting in our way. Maybe this will seem obvious to anyone who has struggled in physics, but here's what I think: I think it's the math.
Physics applies math. It's all about finding relationships and solving the puzzles that the laws of physics present. For the most part, this work is done in the language of mathematics, and more specifically, the language of algebra. So to be comfortable learning physics, a student has to be fluent in that language. Algebra cannot just be a memorized set of procedures for finding 'x'. It has to be a symbolic way of representing ideas. But for many students, that level of fluency is not attained unjust one year of algebra--which is all that many students have had when they start studying physics. It's no wonder that some struggle.
It is not only physic students who struggle. For even more than 26 years, I have been teaching students how to prepare for the math portion of the SAT. What I have seen over the years is that most students are not fluent enough in algebra to successfully apply algebra on the SAT. One goal of my SAT course is to teach alternative, non-algebraic approaches to SAT problems. It is also a major theme of my math SAT book, The New Math SAT Game Plan. And I will tell you something you may find surprising (or even distressing): on the SAT, these non-algebraic methods work very nicely. They won't get you to an 800, but they will take you pretty far. And even my top scorers report that they like to mix in the non-algebraic methods along with the standard approaches (which, as top students, they also know how to use).
The non-algebraic methods, however, won't get you very far in physics. In fact, a student who does not really learn the language of algebra is going to struggle in all later math and science classes: physics, statistics, computer science and beyond. That STEM door is swinging closed because one year of algebra class did not lead to sufficient fluency. So why spend only one year? Why not start earlier?
I am not saying every 7th grader should be in a high-school version of Algebra I. But I am saying that every middle school student should, over the course of the middle school years, start learning about and thinking about the ideas of algebra (even some ideas that won't reappear until Algebra II or Pre-calculus). These are ideas that take some time to ponder.
3 comments:
My son liked PWN the SAT for math which has pushed the idea that SAT-Math is not a math test for quite some time. Doing well on the SAT might get you into the admissions bucket of a better college, but it says little about STEM preparation.
Advanced math in K-12 is more associated these days with the Art Of Problem Solving (AOPS) and the AMC series of tests. I can't say that I'm a big fan of that (competition versus exploring advanced material), but it's the name of the game these days. Some colleges ask for your AMC scores.
To be fair to our local administrators who are trying to eliminate as much "advanced" math as possible in the name of Common Core, they repeatedly claim that algebra is so fundamental to future studies that they want to make sure it is well-learned and not skimmed over.
I strongly agree with them that getting algebra right is the key to success in all subsequent STEM studies. You can forget most of geometry and be embarrassingly shaky with your calculus and still become a successful practitioner, even professor, in many STEM fields (not physics), but if your algebra is shaky, you won't understand the explanations in most of your STEM textbooks. Algebra is less about solving equations than it is a language for thinking and communicating about how things are related, how they work, what has been discovered, what is being hypothesized.... It is a critical component of critical thinking.
Unfortunately, instead of "why not start earlier?", the position of our administrators is to delay everything else in order to continue pre-algebra and algebra longer. Even worse, the proposed changes implicitly suggest that if taking longer to reach and finish algebra is helpful to some, no one else should be allowed to move ahead, no matter how well prepared.
This post says pretty much the same thing as the letter from the Middlebury College professor I posted earlier. In that letter, the professor blamed the rush to AP Calculus for her students "shockingly weak algebra skills". There was quite a bit of disagreement from some of the regulars here.
The current post mentions "fluency" a lot, which on this blog tends to be conflated with the ability to quickly solve problems. But the poster also says "Algebra cannot just be a memorized set of procedures for finding 'x'.". I think he is arguing for something more. I think he is arguing for students to have the chance to fully internalize the language of algebra, so they really understand what they are doing.
The poster seems to be arguing that algebra should be started in 7th grade. That, however, assumes that students have a high level of mastery of topics such as fractions. My kids could have done it, but many kids even in this high performing school district could not. I do not think kids should be pushed into algebra until they have demonstrated mastery - not just the ability to quickly solve problems, but real understanding.
I like Common Core's emphasis on mastery of a smaller set of key topics, especially fractions, which appears to be a topic where many kids go astray. | 677.169 | 1 |
Mathematics 90
Course details
Math 90 introduces students to the Grade 12-level pre-calculus required for entrance into University math. The curriculum emphasizes algebra, graphing, deductive and symbolic methods to solve problems and determine if and under what conditions a concept is true. Students will continue to develop communication skills to state problems and solutions clearly. | 677.169 | 1 |
When used effectively, a pre-test can be just as informative to the students as it is to me. The opening exercise in this section asks students to assess their own knowledge of transformations on polynomials. At this point, they should have a solid understanding of polynomial roots, end behaviors, and intercepts. They should also have had some past experiences with transformations, so even if they don't 'know' the answers to these pre-test questions, they should have enough knowledge to make reasonable and even accurate conjectures.
After spending a class period learning, exploring, and verifying their conjectures (or disproving, in some cases), it is very useful for the students to go back and confirm "Yes, I knew that was right," or "Oh yeah, now this makes sense. I can fix it." This opportunity for immediate self-reflection is highly effective with students.
Learning from PreTest Results
Student Self-Assessment: Learning from PreTest Results
Performance Task - Representing Polynomials
Performance Task - Representing Polynomials
Unit 4: Polynomial Theorems and Graphs
Lesson 13 of 15
Objective: SWBAT demonstrate the ability to translate between algebraic and graphical representations of polynomials and graph transformations of polynomial functions.
Big Idea:
The graphs of polynomial functions can be transformed by altering the algebraic form in specific ways. These transformations have the same effect on all the function types studied in Algebra 2 and Precalculus.
Resources (1)
Resources
I place students in groups of three for the next part of this lesson. These groups are selected so that they are of mixed ability and students who do not normally work together have a chance to collaborate.
Representing Polynomials Matching Activity asks students to match graphical and algebraic representations of polynomials [MP2, MP7]. Students have done work like this before earlier in the unit, but todays activity is more challenging for two reasons.
Some of the linear factors have a multiplicity other than one, so students must decide whether the graph touches or crosses at each root.
In some cases, no graph matches the given algebraic form and the students have to draw in their own function that matches.
The first time this activity is used, the cards should be printed out on colored card stock and laminated. This way, students can use a wet-erase marker to draw in their own graphs and the cards can be saved for future use.
As groups work to complete the activity, I circulate around the room, using the 3 Cup System to determine which groups are struggling. Although I do not specifically tells students the correct pairings, I will give small hints to point them in the right direction when appropriate.
Resources
When groups have finished matching up the cards and drawing in their own graphs where appropriate, the class comes together for a discussion of the activity. The goal of the discussion is for students to understand each other's matching strategies and make sense of the mathematical logic of each strategy [MP3]. To foster this type of discussion, I ask the following types of questions:
Who used a strategy different from the one shown?
Who can build on what ___ has said?
Can anyone find two pairings that are similar in some way?
Can anyone find two graphs that are reflections of one another?
Can anyone find two graphs that are translations of one another?
Through this discussion I hope that my students will solidify their understanding of translations of polynomial graphs and the relationship between the verbal and algebraic representations of polynomial functions [MP2, MP7].
Resources (1)
Resources
After we have thoroughly discussed the activity and my students have had the opportunity to ask any questions, I return the Representing Polynomials Pretest., which they completed at the beginning of the lesson. I ask them to use a different color to correct any responses that they feel differently about. Students turn this in to me for grading when it is complete. | 677.169 | 1 |
Unique in content and approach, this book covers all the topics that are usually covered in an introduction to scientific computing--but folds in graphics and matrix-vector manipulation in a way that gets readers to appreciate the connection between continuous mathematics and computing. MATLAB 5 is used throughout to encourage experimentation, and each chapter focuses on a different important theorem--allowing readers to appreciate the rigorous side of scientific computing. In addition to standard topical coverage, each chapter includes 1) a sketch of a "hard" problem that involves ill-conditioning, high dimension, etc.; 2)at least one theorem with both a rigorous proof and a "proof by MATLAB" experiment to bolster intuition; 3)at least one recursive algorithm; and 4)at least one connection to a real-world application. The book revolves around examples that are packaged in 200+ M-files, which, collectively, communicate all the key mathematical ideas and an appreciation for the subtleties of numerical computing. Power Tools of the Trade. Polynomial Interpolation. Piecewise Polynomial Interpolation. Numerical Integration. Matrix Computations. Linear Systems. The QR and Cholesky Factorizations. Nonlinear Equations and Optimization. The Initial Value Problem. For engineers and mathematicians.
"synopsis" may belong to another edition of this title.
From the Publisher:
This book presents a unique approach for one semester numerical methods and numerical analysis courses. Well organized but flexible, the text is brief and clear enough for introductory numerical analysis students to "get their feet wet," yet comprehensive enough in its treatment of problems and applications for higher-level students to develop a deeper grasp of numerical tools.
About the Author:
Charles F. Van Loan has been at Cornell University since 1975, where he is a Professor of Computer Science and the Joseph C. Ford Professor of Engineering. He is a SIAM Fellow and the author of Matrix Computations (with G. H. Golub; Johns Hopkins, 1996), Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB (Prentice Hall, 1999), Computational Frameworks for the Fast Fourier Transform (SIAM, 1992), Handbook for Matrix Computations (with T. F. Coleman; SIAM, 1988), and Introduction to Computational Science and Mathematics (James and Bartlett, 1996). | 677.169 | 1 |
Office of Student Computing Resources
Mathworks Matlab
MATLAB is a high-performance language for technical computing. It integrates computation, visualization, and programming in an easy-to-use environment where problems and solutions are expressed in familiar mathematical notation. | 677.169 | 1 |
ISBN-10: 012374427X
ISBN-13: 9780123744272 Matrix Methods: Applied Linear Algebra, 3e, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems. * Applications like Markov chains, graph theory and Leontief Models are placed in early chapters * Readability- The prerequisite for most of the material is a firm understanding of algebra * New chapters on Linear Programming and Markov Chains * Appendix referencing the use of technology, with special emphasis on computer algebra systems (CAS) MATLAB | 677.169 | 1 |
About this product
Description
Description
There is doubt about the fact that our daily lives consistently revolve around mathematics. Whether one kws it or t, just about everything that is seen and felt throughout the day involves some kind of math. The study of geometry can give students a better understanding of how buildings, furniture, vehicles, and other infrastructural models are designed and built. Everything that is created and built around us has involved some kind of geometry. A geometric formulas study guide can help students to t only understand the formulas, but also to retain them within their memories to make solving problems and understanding a much easier task. | 677.169 | 1 |
Focused on the new assessment objectives, GCSE Maths Practice Book: Use and Apply Standard Techniques is full of expertly written practice questions to help students become confident and fluent in math.
· Exactly matches the GCSE Maths 4th edition Student Book · Focus on AO1—using and applying standard techniques · Ensure confident and competent students with hundreds of basic, differentiated practice questions · Easily identify topics for further practice, intervention, prior knowledge recall and revision · Challenge the most able students with more difficult questions aimed at the top grades, particularly 8 and 9 · Access answers online COLLINS EDUCATIONAL CORE LIST, 2015. PAP. Book Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # IB-9780008113872
Book Description HarperCollins UK. Paperback. Book Condition: New. Paperback. 184 pages. Dimensions: 10.3in. x 7.4in. x 0.6in.Focused on the new assessment objectives, GCSE Maths Practice Book: Use and Apply Standard Techniques is full of expertly written practice questions to help students become confident and fluent in maths. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9780008113872
Book Description Paperback. Book Condition: New. 4th. Paperback. Focused on the new assessment objectives, GCSE Maths Practice Book: Use and Apply Standard Techniques is full of expertly written practice questions to help students become confident and .Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 220 pages. 0.474. Bookseller Inventory # 9780008113872 | 677.169 | 1 |
Computational Complexity (Spring 2009)
This course describes attempts to answer a fundamental
question of CS namely: What can computers solve efficiently?
Some Bibliography:
While the course does not follow one book in a precise order,
most of the material can be found in the following two books (that are available
online). I will point to relevant section in the books when teaching the
material.
Some of the topics (at least in the beginning of the course)
are also covered in the following books.
Computational Complexity by Christos Papadimitriou.
Introduction to the theory of computation by Michael
Sipser.
Exercises:
Exercise are given so that you can make sure that you
understand the material. Submitting the exercises is not mandatory. I will check
a small sample of the questions in each exercise and will give grades. The
exercise grade will be 10% of the final grade. (The exercise grade will not be
used if it reduces the final grade. | 677.169 | 1 |
Thursday, 11 May 2017
FREE Complete MATLAB Tutorial: Go from Beginner to Pro course coupon
Essential MATLAB Tutorial that will take you from beginner to advance level
Basic Course Description
MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and fourth-generation programming language which is frequenlty being used by engineering and science students. In this course, we will start learning MATLAB from a beginner level, and will gradually move into more technical and advnace topics. This course is designed to be general in scope which means that it will be beneficial to students in any major. Once, passed a certain learning thresholds, you will definately enjoy MATLAB Programming. The key benefit of MATLAB is that it makes the programming available to everyone and is very fast to turn ideas into working products compared to some of the conventional programming languages such as Java, C, C++, visual basic and others.
✔ You receive knowledge from an experienced instructor (Dr. Nouman Azam) who is the creator of five courses on Udemy in the MATLAB niche.
✔ The titles of these courses are
✔ You find majority of these courses on the first page in the MATLAB niche.
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Student Testimonials for Dr. Nouman Azam!
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This is the second Udemy class on Matlab I've taken. Already, a couple important concepts have been discussed that weren't discussed in the previous course. I'm glad the instructor is comparing Matlab to Excel, which is the tool I've been using and have been frustrated with. This course is a little more advanced than the previous course I took. As an engineer, I'm delighted it covers complex numbers, derivatives, and integrals. I'm also glad it covers the GUI creation. None of those topics were covered in the more basic introduction I first took.
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Good Class, gives a good overview of using Guide in MATLAB. Explanations are short and to the point. Does not give in-depth instruction. However, the class is very good at showing how to use the Guide in building MATLAB GUIs. If you are unfamiliar with the Guide at all, this is a good class. It will show you how to make GUIs using the Guide and how to work with the many different elements available in the Guide like tables, check boxes, drop down lists, etc. | 677.169 | 1 |
Visual Structures of Postulates and Axioms in Algebraic Operations
Students investigate Axioms and Postulates. In this proof and linear transformation of equations instructional activity, students explore axioms and postulates to solve linear equations. Students construct game cards to analyze the linear transformation of equations. | 677.169 | 1 |
Welcome
What is this course all about?
Number theory is the study of integers under the operations of multiplication and addition. Though this seems a humble beginning, it is surprising how quickly one can ask mathematical questions about integers which are exceedingly difficult to resolve. Indeed, there are numerous problems which are thousands of years old that have yet to be resolved, as well as many other ancient problems which have only been resolved due to very sophisticated mathematics. It is this contrast between simplicity and complexity which forms the aesthetic of many number theoretic problems. In this class we'll develop some basic tools which allow us to begin analyzing the structures which govern the integers.
In order to promote a more active participation in your learning, we will incorporate ideas from an educational philosophy called the Moore method (after R.L. Moore). Modifications of the Moore method are also referred to as inquiry-based learning (IBL) or discovery-based learning.
Here is a great video about inquiry-based learning in mathematics. The video is part 1 of 3.
Much of the course will be devoted to students proving theorems on the board and a significant portion of your grade will be determined by how much mathematics you produce. I use the work "produce" because I believe that the best way to learn mathematics is by doing mathematics. Someone cannot master a musical instrument or a martial art by simply watching, and in a similar fashion, you cannot master mathematics by simply watching; you must do mathematics!
Furthermore, it is important to understand that proving theorems is difficult and takes time. You shouldn't expect to complete a single proof in 10 minutes. Sometimes, you might have to stare at the statement for an hour before even understanding how to get started. In fact, proving theorems can be a lot like the clip from the Big Bang Theory located here.
In this course, everyone will be required to
read and interact with course notes on your own;
write up quality proofs to assigned problems;
present proofs on the board to the rest of the class;
participate in discussions centered around a student's presented proof;
call upon your own prodigious mental faculties to respond in flexible, thoughtful, and creative ways to problems that may seem unfamiliar on first glance.
As the semester progresses, it should become clear to you what the expectations are. This will be new to many of you and there may be some growing pains associated with it.
Textbook
This semester we will be using the book Number Theory Through Inquiry by Marshall, Odell, and Starbird (ISBN: 978-0-88385-751-9). I.
Getting Help
There are many resources available to get help. First, I recommend that you work on homework in groups as much as possible and to come see me whenever necessary. Also, you are strongly encouraged to ask questions in the course forum on our Moodle page, as I will post comments there for all to benefit from.
To | 677.169 | 1 |
First Course in Fourier Analysis, A
This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDE's, probability, diffraction, musical tones, and wavelets. Providing unified development of (univariate) Fourier analysis for functions on R, T, Z, and P, the book also includes an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. It also uses the FT calculus and generalized functions to study the (univariate) wave equation, diffusion equation, and diffraction equation. In addition, fine points of the theory are developed. The book also demonstrates real-world applications of Fourier analysis in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of scientific professionals, including Mathematicians, Physicists, Chemists, Geologists, Electrical Engineers, Mechanical Engineers, and others.
"synopsis" may belong to another edition of this title.
Book Description:
Introducing applied mathematics through Fourier analysis, this book develops a unified theory of discrete and continuous Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.
From the Inside Flap:
Preface To the Student
This book is about one big idea: You can synthesize a variety of complicated functions from pure sinusoids in much the same way that you produce a major chord by striking nearby C, E, G keys on a piano. A geometric version of this idea forms the basis for the ancient Hipparchus-Ptolemy model of planetary motion (Almagest, 2nd century, cf. Fig. 1.2). It was Joseph Fourier (Analytical Theory of Heat, 1815), however, who developed modern methods for using trigonometric series and integrals as he studied the flow of heat in solids. Today, Fourier analysis is a highly evolved branch of mathematics with an incomparable range of applications and with an impact that is second to none, (cf. Appendix 0). If you are a student in one of the mathematical, physical, or engineering sciences, you will almost certainly find it necessary to learn the elements of this subject. My goal in writing this book is to help you acquire a working knowledge of Fourier analysis early in your career.
If you have mastered the usual core courses in calculus and linear algebra, you have the maturity to follow the presentation without undue difficulty. A few of the proofs and more theoretical exercises require concepts (uniform continuity, uniform convergence, . . . ) from an analysis or advanced calculus course. You may choose to skip over the difficult steps in such arguments and simply accept the stated results. The text has been designed so that you can do this without severely impacting your ability to learn the important ideas in the subsequent chapters. In addition, I will use a potpourri of notions from undergraduate courses in differential equations, complex analysis, number theory, probability, physics, signals and systems, etc. You will have no trouble picking up these concepts as they are introduced in the text and exercises.
If you wish, you can find additional information about almost any topic in this book by consulting the annotated references at the end of the corresponding chapter. You will often discover that I have abandoned a traditional presentation in favor of one that is in keeping with my goal of making these ideas accessible to undergraduates. For example, the usual presentation of the Schwartz theory of distributions assumes some familiarity with the Lebesgue integral and with a graduate-level functional analysis course. In contrast, my development of d, III, . . . in Chapter 7 uses only notions from elementary calculus. Once you master this theory, you can use generalized functions to study sampling, PDEs, wavelets, probability, diffraction, . .. .
The exercises (540 of them) are my greatest gift to you! Read each chapter carefully to acquire the basic concepts, and then solve as many problems as you can. You may find it beneficial to organize an interdisciplinary study group, e.g., mathematician + physicist + electrical engineer. Some of the exercises provide routine drill: You must learn to find convolution products, to use the FT calculus, to do routine computations with generalized functions, etc. Some supply historical perspective: You can play Gauss and discover the FFT, analyze Michelson and Stratton's analog supercomputer for summing Fourier series, etc. Some ask for mathematical details: Give a sufficient condition for . . . , given an example of . . . , show that, .. . . Some involve your personal harmonic analyzers: Experimentally determine the bandwidth of your eye, describe what would you hear if you replace notes with frequencies F1, F2, . . . by notes with frequencies C/F1, C/F2, . . . . Some prepare you for computer projects: Compute p to 1000 digits, prepare a movie for a vibrating string, generate the sound file for Risset's endless glissando, etc. Some will set you up to discover a pattern, formulate a conjecture, and prove a theorem. (It's quite a thrill when you get the hang of it!) I expect you to spend a lot of time working exercises, but I want to help you work efficiently. Complicated results are broken into simple steps so you can do (a), then (b), then (c), . .. until you reach the goal. I frequently supply hints that will lead you to a productive line of inquiry. You will sharpen your problem-solving skills as you take this course.
The chapters of the book are arranged as follows:
The mathematical core is given in Chapters 1-7 and selected applications are developed in Chapters 8-12.
We present the basic themes of Fourier analysis in the first two chapters. Chapter 1 opens with Fourier's synthesis and analysis equations for functions on the real line R, on the circle Tp, on the integers Z, and on the polygon PN. We discretize by sampling (obtaining functions on Z, PN, from functions on R, Tp), we periodize by summing translates (obtaining functions on Z, PN from functions on R, Tp), and we informally derive the corresponding Poisson identities. We combine these mappings to form the Fourier-Poisson cube, a structure that links the Fourier transforms, Fourier series, and discrete Fourier transforms students encounter in their undergraduate classes. We prove that these equations are valid when certain elementary sufficient conditions are satisfied. We complete the presentation of basic themes by describing the convolution product of functions on R, Tp, Z, and PN in Chapter 2.
Chapters 3 and 4 are devoted to the development of computational skills. We introduce the Fourier transform calculus for functions on R by finding transforms of the box, II(x), the truncated exponential, e-xh(x), and the unit gaussian e-p x2. We present the rules (linearity, translation, dilation, convolution, inversion, . . . ) and use them to obtain transforms for a large class of functions on R. Various methods are used to find Fourier series. In addition to direct integration (with Kronecker's rule), we present (and emphasize) Poisson's formula, Eagle's method, and the use of elementary Laurent series (from calculus). Corresponding rules facilitate the manipulation of the Fourier representations for functions on Tp and Z. An understanding of the Fourier transform calculus for functions on PN is essential for anyone who wishes to use the FFT. We establish a few well-known DFT pairs and develop the corresponding rules. We illustrate the power of this calculus by deriving the Euler-Maclaurin sum formula from elementary numerical analysis and evaluating the Gauss sums from elementary number theory.
In Chapter 5 we use operators, i.e., function-to-function mappings, to organize the multiplicity of specialized Fourier transform rules. We characterize the basic symmetries of Fourier analysis and develop a deeper understanding of the Fourier transform calculus. We also use the operator notation to facilitate a study of Sine, Cosine, Hartley, and Hilbert transforms.
The subject of Chapter 6 is the FFT (which Gilbert Strang calls the most important algorithm of the 20th century!). After describing the O(N2) scheme of Horner, we use the DFT calculus to produce an N-point DFT with only O(N log2 N) operations. We use an elementary zipper identity to obtain a sparse factorization of the DFT matrix and develop a corresponding algorithm (including the clever enhancements of Bracewell and Buneman) for fast machine computation. We briefly introduce some of the more specialized DFT factorizations that can be obtained by using Kronecker products.
An elementary exposition of generalized functions (the tempered distributions of Schwartz) is given in Chapter 7, the heart of the book. We introduce the Dirac d as the second derivative of the ramp r(x) := max(x, 0), the comb III; the reciprocal "l/x", the Fresnel function eip x2, . . . and carefully extend the FT calculus rules to this new setting. We introduce generalized (weak) limits so that we can work with infinite series, ordinary derivatives, partial derivatives, . . . .
Selected applications of Fourier analysis are given in the remaining chapters. (You can find whole textbooks devoted to each of these topics.) Mathematical models based on Fourier synthesis, analysis done with generalized functions, and FFT computations are used to foster insight and understanding. You will experience the enormous "leverage" Fourier analysis can give as you study this material!
Sampling theory, the mathematical basis for digital signal processing, is the focus of Chapter 8. We present weak and strong versions of Shannon's theorem together with the clever generalization of Papoulis. Using these ideas (and characteristics of the human ear) we develop the elements of computer music in Chapter 11. We use additive synthesis and Chowning's FM synthesis to generate samples for musical tones, and we use spectrograms to visualize the structure of the corresponding sound files.
Fourier analysis was invented to solve PDEs, the subject of Chapter 9. We formulate mathematical models for the motion of a vibrating string, for the diffusion of heat (Fourier's work), and for Fresnel diffraction. (The Schrödinger equation from quantum mechanics seems much less intimidating when interpreted within the context of elementary optics!) With minimal effort, we solve these PDEs, establish suitable conservation laws, and examine representative solutions. (The cover illustration was produced by using the FFT to generate slices for the diffraction pattern that results when two gaussian laser beams interfere.)
Chapter 10 is devoted to the study of wavelets, an exciting new branch of mathematics. We introduce the basic ideas using the piecewise constant functions associated with the Haar wavelets. We then use the theory of generalized functions to develop the compactly supported orthogonal wavelets created by I. Daubechies in 1988. Fourier analysis plays an essential role in the study of corresponding filter banks that are used to process audio and image files.
We present the elements of probability theory in Chapter 12 using generalized densities, e.g., f(x) := (1/2) d(x + 1) + d(x - 1) serves as the probability density for a coin toss. We use Fourier analysis to find moments, convolution products, characteristic functions, and to establish the uncertainty relation (for suitably regular probability densities on R). We then use the theory of generalized functions to prove the central limit theorem, the foundation for modern statistics! To the Instructor
This book is the result of my efforts to create a modern elementary introduction to Fourier analysis for students from mathematics, science, and engineering. There is more than enough material for a tight one-semester survey or for a leisurely two-semester course that allocates more time to the applications. You can adjust the level and the emphasis of the course to your students by the topics you cover and by your assignment of homework exercises. You can use Chapters 1, 3, 4, 7, and 9 to update a lackluster boundary value problems course. You can use Chapters 1, 3, 4, 7, 8, and 10 to give a serious introduction to sampling theory and wavelets. You can use selected portions of Chapters 2-4, 6, 8, and 11 (with composition exercises!) for a fascinating elementary introduction to the mathematics of computer-generated music. You can use the book for an undergraduate capstone course that emphasizes group learning of the interdisciplinary topics and mastering of some of the more difficult exercises. Finally, you can use Chapters 7-12 to give a graduate-level introduction to generalized functions for scientists and engineers.
This book is not a traditional mathematics text. You will find a minimal amount of jargon and note the absence of a logically complete theorem-proof presentation of elementary harmonic analysis. Basic computational skills are developed for solving real problems, not just for drill. There is a strong emphasis on the visualization of equations, mappings, theorems, ... and on the interpretation of mathematical ideas within the context of some application. In general, the presentation is informal, but there are careful proofs for theorems that have strategic importance, and there are a number of exercises that lead students to develop the implications of ideas introduced in the text.
Be sure to cover one or more of the applications chapters. Students enjoy learning about the essential role Fourier analysis plays in modern mathematics, science, and engineering. You will find that it is much easier to develop and to maintain the market for a course that emphasizes these applications.
When I teach this material I devote 24 lectures to the mathematical core (deleting portions of Chapters 1, 5, and 6) and 18 lectures to the applications (deleting portions of Chapters 10, 11, and 12). I also spend 3-4 hours per week conducting informal problem sessions, giving individualized instruction, etc. I lecture from transparencies and use a PC (with FOURIER) for visualization and sonification. This is helpful for the material in Chapters 2, 5, 6, and 12 and essential for the material in Chapters 9, 10, and 11. I use a laser with apertures on 35mm slides to show a variety of diffraction patterns when I introduce the topic of diffraction in Chapter 9. This course is a great place to demonstrate the synergistic roles of experimentation, mathematical modeling, and computer simulation in modern science and engineering.
Course materials related to this book can be downloaded from the author's Web site: math.siu/Kammler/
I have one word of caution. As you teach this material you will face the constant temptation to prove too much too soon. My informal use of (?) over (=) cries out for the precise statement and proof of some relevant sufficient condition. (In most cases there is a corresponding exercise, with hints, for the student who would really like to see the details.) For every hour that you spend presenting 19th-century advanced calculus arguments, however, you will have one less hour for explaining the 20thcentury mathematics of generalized functions, sampling theory, wavelets, . . . . You must decide which of these alternatives will best serve your students. Acknowledgments
I wish to thank Southern Illinois University at Carbondale for providing a nurturing environment during the evolution of ideas that led to this book. Sabbatical leaves and teaching fellowships were essential during the early phases of the work. National Science Foundation funding (NSF-USE 89503, NSF-USE 9054179) for four faculty short courses at the Touch of Nature center at SIUC during 19891992, and NECUSE funding for a faculty short course at Bates College in 1995 enabled me to share preliminary versions of these ideas with faculty peers. I have profited enormously from their thoughtful comments and suggestions, particularly those of Davis Cope, Bo Green, Carruth McGehee, Dale Mugler, Mark Pinsky, David Snider, Patrick Sullivan, Henry Warchall, and Jo Ward. I deeply appreciate the National Science Foundation course development grant (NSF-USE 9156064) that provided support for the creation of many of the exercise sets as well as for equipment and programming services that were used to develop the second half of the book.
I wish to thank my editors, George Lobell and Lynn Savino Wendel, and the staff at Prentice Hall for investing in this project. I also want to thank the reviewers whose pointed suggestions grea... | 677.169 | 1 |
New GCSE Maths Revision Guides
February 11th, 2008 by Anita Lee
First Tutors and Pearson Publishing have teamed up to create an exclusive set of revision guides and worksheets. These GCSE Maths resources are focused for Foundation or Higher tier and written by examiners.
The revision guides contain worked examples, sample questions and answers and even diagnostic tests to measure your progess.
Homework Help contains over 100 practice sheets of exercises to reinforce your learning ahead of exams.
Avoiding Common Errors focuses on avoiding easy mistakes in the exam hall with careful practice questions.
All of these GCSE Maths revision guides are available to download instantly as a colourful PDF so you can get started straight away.
Pearson Publishing is one of the leading educational publishers in the UK. Based in Cambridge since 1991, Pearson Publishing draws on the expertise of a wide range of educationalists to write their extensive curriculum resources. The revision resources, used in over 20,000 schools, are the trusted teaching and study tools for teachers and students alike. | 677.169 | 1 |
General objective of this lecture is to present on Algebra Tutorial. Algebra the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations. In elementary algebra, those symbols represent quantities without fixed values, known as variables. Just as sentences describe relationships between specific words, in algebra, equations describe relationships between variables. | 677.169 | 1 |
Cubic Regions
Students apply what they have learned about derivatives and integrals. For this algebra lesson, students explore this concept further through real life applications and the TI calculator. This assignment is geared towards advanced students. | 677.169 | 1 |
Document Actions
Math Study Skills
Did you know that there are different skills needed to study math as opposed to other subjects? Do you know where your strengths and weaknesses are in math - not just the content but in the approach that you use to do mathematics? You would be surprised - sometimes as the saying goes "we are our own worst enemy." There are many surveys out there on the Internet to help you find out these things. We strongly suggest the on-line inventory at Use 'WAM" for username and "Student" for password. It only takes a few minutes and will help give you a good start on what you need to change to be successful. Then, when you are finished, read through the next page and see if you can answer any of these questions. Click on the link to find answers and specific hints or scroll down and remember them all. Remember:
GOOD MATH STUDY SKILLS = SUCCESS IN MATH CLASS
These stand alone workshops are beneficial to both undergraduate and graduate students regardless of major. They are a companion to study skills topics and common questions posed by students further on our website. Topics and schedule are as follows:
Why Learning Math is Different from other subjects and how to determine your math learning strengths and weaknesses Dates: | 677.169 | 1 |
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how do you know the radical is completely simplified | 677.169 | 1 |
Complex Analysis: Graphical Representations
In this graphical representation instructional activity, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page instructional activity contains five equations to solve. | 677.169 | 1 |
An extension of the Math 6 program, this course will expand on many of the concepts students have already mastered. This serves as the ideal course for the reinforcement of old skills as well as an introduction to higher math skills.
Introduced in the Pre-Algebra eBook are the beginnings of work with variables in mathematical expressions, basic algebra skills such as factoring and graphing of algebraic expressions and equations as well as work with exponents and radicals.
PreAlgebra eBook - eBook
*All materials are subject to change and may be available on a limited basis.
*All materials are subject to change and may be available on a limited basis.
Victory Math 7: Pre-Algebra
Because learning happens everywhere, not just on the computer, we have carefully selected offline materials to supplement and enrich the online course content. There will be assignments using these materials in effective, comprehensive learning in this course.
Painless Algebra - Book - Paperback
The Everything Guide to Algebra - Book - Paperback
*All materials are subject to change and may be available on a limited basis.
Victory Math 7: Pre-Algebra
Enroll in this course individually for only $499.00 per student per year. | 677.169 | 1 |
Showing 1 to 30 of 86
Labs and project overview for EE1003
EE1003, introductions to signals and communications, is a core module in department of
Electrical and Computer engineering. The fundamental conceptions in signals and
communications are introduced in lectures. These co
1
Tutorial 2 Answers + Comments
Q1
This question uses the Intermediate Value Theorem. In it's most general form, we have
Thorme 0.1 Let I be an interval and let f : I R be continuous on I . If a, b I and
if k R satises f (a) < k < f (b), then there exists
NATIONAL UNIVERSITY OF SINGAPORE
Department of Mathematics
MA 1505 Mathematics I
Tutorial 6
1.
Write the vector 3i+2j+k as a sum of two vectors u+v such that u is parallel to w = i+3j+4k
and v is perpendicular to w. (Hint: Use projection)
Ans.
2.
1
2 (i
1
Chapter 1. Functions: Limits and Continuity
1.1
Functions
It is common that the values of one variable depend
on the values of another. E.g. the area A of a region on the plane enclosed by a circle depends on
the radius r of the circle (A = r2, r > 0 .) M
Chapter 3. Integration
3.1
Indenite Integral
Integration can be considered as the antithesis of differentiation, and they are subtly linked by the Fundamental Theorem of Calculus. We rst introduce indenite integration as an inverse of differentiation.
3.1
Chapter 4. Sequences and Series
4.1
Innite sequences
An innite sequence (or sequence) of real numbers
is an innite succession of numbers which is usually
given by some rule.
We shall denote an innite sequence by
a1 , a 2 , a 3 , , a n , ,
and we shall oft
Chapter 5. Fourier Series
5.1
Periodic functions
A function f (x) is called periodic if it is dened for
all real x and if there is some positive number p such
that
f (x + p) = f (x) for all x.
(1)
The number p is called the period of f (x).
5.1.1
Graphs o
Chapter 9. Line Integrals
9.1
9.1.1
Introduction
Work Done I
(i) Let F be a constant force acting on a particle
in the displacement direction as shown in gure
(i) above. Suppose the distance moved by the
particle is s. The work done is given by
W = F s.
(
Running Head: What Managers Believe as Important
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McDonalds vision is to provide the best family re | 677.169 | 1 |
Be sure that you have an application to open
this file type before downloading and/or purchasing.
5 MB|21 pages
Product Description
This is a powerpoint presentation to be used as a supplemental lesson aide. It is on Math Topics covering Algebra 1. It can be used for Special Education High School students, Regular grade level High School Students, and Middle School Advanced students. It includes definitions and examples of each covering topic, quiz questions within each topic, and answers to all questions. | 677.169 | 1 |
Find a Mercer Island TrigonometryMatlab is an interpreted language cum tool for solving complex mathematical problems. It is highly optimized for numeric computations. It allows one to perform numerical calculations much faster compared to programming languages like C, C++ and Java | 677.169 | 1 |
Intro to Algebra: Grades 8Probability and StatisticsIntermediate AlgebraGeometry: Grades 9-12
***REQUIRED: Three-ring Binder - This class requires that you take notes of all Chapters. This Binder with be checked periodically and graded.
*Writing Utensils: several pencils with erasers AND red, green, or blue pens to correct homework
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*Ruler: with inches and centimeters
*Protractor: to be used for required construction
*Loose Leaf or Perforated Notebook Paper: to be used for homework
*Four (4) AAA batteries
**Calculator: TI 83-Plus or 84-Plus (in-class only - a classroom calculator is provided).
***Calculator recommended if student plans on attending college in the future. | 677.169 | 1 |
Is a Major in Math Right for Me?
Mathematics is a highly technical and rigorous field, and majors will study a variety of advanced and complex concepts and theories. So how do you know if a major in mathematics is right for you? Take the self-assessment quiz below and see if your interests and abilities are well aligned with the math major.
How many of the following apply to you?
Are you interested in refining your analytical skills?
Yes or No
Do you enjoy complex problem solving?
Yes or No
Do you pay close attention to detail?
Yes or No
Do you like problems with set correct answers?
Yes or No
Do you enjoy logical pursuits?
Yes or No
Are you patient?
Yes or No
Do you enjoy quantitative reasoning?
Yes or No
Do you want to strengthen your technical skills?
Yes or No
Are you determined and curious?
Yes or No
Do you enjoy researching and interpreting data?
Yes or No
Find schools that offer these popular programs
Applied Math
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More Programs
What Do These Questions Tell Me About Majoring in Math?
Are you interested in refining your analytical skills?
Math majors will develop strong skills in critical analysis through their study of complex mathematical concepts and equations, and through the study of applied mathematics.
Do you enjoy complex problem solving?
Problem solving is at the core of a math major, and being passionate about precisely and accurately following multi-step equations in order to derive solutions will serve a math major well.
Do you pay close attention to detail?
Complex mathematics requires extreme exactitude and close attention to every element of an equation or problem solving strategy.
Do you like problems with set correct answers?
Creative thinkers who enjoy open-ended questions may not be satisfied by the much more black and white world of mathematics.
Do you enjoy logical pursuits?
Logic and practical reasoning are the backbone of studying mathematics, and students who enjoy finding patterns and sequences will find this major particularly fulfilling.
Are you patient?
Having patience is essential to working out complicated problems, and taking the time to approach difficult formulas from a number of perspectives in order to understand and resolve them.
Do you enjoy quantitative reasoning?
Students considering a major in mathematics should be interested in numbers and in quantitative thinking and problem solving. While math majors may use creative qualitative reasoning on occasion, this type of thinking will not be a focus.
Do you want to strengthen your technical skills?
Math majors will use a variety of technical programs and software to help compute complicated problems, and so will become more technically savvy through this course of study.
Are you determined and curious?
Having curiosity and determination are key to tackling problem sets, and continuing to build on foundational concepts in order to grasp complex theories.
Do you enjoy researching and interpreting data?
Research and data analysis are crucial to applied mathematics, and teach students the skill of translating real life data into numerical and solvable problems.
Setting Out in Your Mathematics Major
Did you answer yes to the majority of the questions above? If you did then you may be well suited to a math major. Students who major in math can go on to have careers in a number of fields including, banking, statistics, engineering, and research. | 677.169 | 1 |
The GED® test webinar archive
"Tuesdays for Teachers" Webinar Series
"Tuesdays for Teachers," is a free professional development webinar series for educators. Presented by Bonnie Goonen and Susan Pittman, this webinar series will take a deeper dive into classroom strategies and techniques for the GED® test's four test subjects. Sessions are designed for educators who have already completed foundational-level training, either by attending in-person training or by using self-guided professional development resources.
Have you tried all of the strategies in your math toolkit and for some reason, students are still struggling with a key concept in math? Do you get that "look" from students that says, "I really don't get this at all?" From number lines to multiple formats for displaying data, from the myths and realities of the order of operations to the problem with zero, the GEDTS PD team will share tips and resources designed to help students conquer these math challenges.
It seems fairly simple: (- 3)(<7) 4x ≥ 12. Students just need to compare the numbers and determine if the statement is true or not. Surely, if students can solve basic equations, then working with inequalities shouldn't be a big deal. However, students do struggle with inequalities and the reasons for that struggle range from a lack of conceptual understanding to the inability to apply what they already know in real-world situations.
Join the GEDTS professional development team as they explore inequalities in real-world situations. From math practices, online resources, and professional development opportunities for you to explore, this webinar will provide you with ideas for teaching the basics of inequalities in your GED® Prep Math classroom.
How will I ever use functions? Do I just need to learn it for the GED® test? The answer is that the concepts of functions and relationships are core concepts in mathematics. A function is really just any relationship between input and output where there is exactly one output for each input.
Join the GEDTS professional development team as they explore the High Impact Indicator of functions in real-world situations. Learn how to make activities real and accessible to students at different points in their mathematical development. From math practices and resources to lesson plans to online professional development opportunities for you to explore, this webinar will provide you with ideas on how to teach the basics of functions in your GED® Prep Math classroom.
Taking the Struggle out of Science and those Science Short Answers (December 13, 2016)
Why do students still struggle with writing science short answers? Is there a missing piece somewhere that we have just not tapped into? Helping students understand the scientific method can help students on science technology-enhanced items and can make a world of difference in mastering the science short answer. Dig a little deeper into how to use the scientific method to improve their inquiry skills as well as construct effect science short answer.
Join us for the next Tuesdays for Teachers as we explore why the ability to read primary and secondary sources can be challenging for students. Learn about reading tools that you can use in your ABE and GED® classroom to help your students "read like a historian". It's not just about higher-level texts. Our students encounter numerous types of primary and secondary sources on a daily basis - from the Internet to television, newspapers, textbooks, and more. Investigate differentiated reading strategies to assist your students in "reading like a historian".
We've given you numerous tips and strategies along the way. Join us as we highlight the things that should be at the top of your list...and why they are so important. Whether you've been with us from the beginning or joining us for the first time, you can take a fresh look at old favorites or pick up some new tools to try.
Thinking Strategies for Crafting Constructed Responses: One Step at a Time (Part 2) (June 28, 2016)
Analyzing the prompt and the evidence in source texts is a highly important first step in the writing process. However, there is more to crafting an effective piece of argumentative writing. Join the Tuesday for Teachers team as they explore routines to teach each step in the drafting of a constructed response. Access a variety of graphic organizers and strategies that you can use in your classroom to assist your students in taking their writing from a scorable 0 to a 1 or even to a 2 level. This webinar builds on the tasks introduced in the May webinar and provides new resources and ideas for the classroom.
The Reasoning through Language Arts section of the GED® test requires that test takers craft an extended response. Because writing is a complex thinking process, students need to learn many different skills and strategies to become more proficient writers. Join the Tuesday for Teachers team as they explore visible thinking routines for crafting an extended response. Experience how to make thinking processes visible in your writing classroom as we engage in activities and discuss the impact of integrating thinking routines into crafting a constructed response. Learn about some specific thinking routines and test-taking tips to assist your students in becoming more confident in their writing skills.
The Mathematical Reasoning section of the GED® test challenges students to think differently and more deeply about mathematics. Join the Tuesday for Teachers' team as they explore visible thinking routines. Experience how to make thinking processes visible in your math classroom as we engage in activities and discuss the impact of integrating thinking routines into mathematical reasoning. Learn about some specific thinking routines and test-taking tips to assist your students in becoming more confident in their mathematical reasoning skills.
The GED® test requires that students possess strong reading skills across all content areas, including mathematics. Join the Tuesdays for Teachers team as they explore close reading strategies that will assist your students in meeting the standards for the GED® test. This session will focus on reading strategies for working with informational text, as well as strategies for interpreting problems on the Mathematical Reasoning test. Learn about specific test-taking tips and resources that will assist your students in hitting the mark and earning a high school credential.
What does the re-calibration of the GED® test scores mean for instructors and students? Join us for an insightful conversation about what the score changes mean for adult learners and instructors. The webinar will focus on how to stay on track with what you're doing in the classroom and why now is actually the best time to pull out all the stops in preparing your students to test successfully.
Join us for our last Tuesdays for Teachers webinar in 2015 as we look at selected skill sets of the High Impact Indicators. During this webinar, we will explore different ways to integrate similar skills across the different content areas. Revisit selected research-based strategies as we discover ways to enhance instructional practices across the different content areas. During this webinar, we will also provide a GED® test update, including national statistics and new resources.
Dig deeper into the high impact areas of science and explore some strategies, activities, and even a few experiments that you can use in the classroom. Join us as we use the 5E Instructional Model to promote scientific learning. Take a closer look at how short answer questions are crafted and how to help students make a deeper connection with the wonderful world of science.
* Update - As of March 1 2016, Extended Response is no longer included on the Social Studies test.
A must-have for educators, this webinar will focus on providing effective tips for getting test-takers higher scores on the extended response questions in RLA. Become more familiar with the performance expectations for these tasks and gain insight into what is needed to improve student responses. With a focus on Trait 1 of the scoring rubric, look at actual student responses and how to work with the scoring tools and rubrics. This webinar will also include a review of tips to quickly improve test-taker performance on constructed response items.
* Update - As of March 1 2016, Extended Response is no longer included on the Social Studies test.
It's not just about Reasoning Through Language Arts! This webinar will focus on the process of teaching argumentative writing – one step at a time. Dig deeper into the different parts of argumentative writing and how to integrate this process in constructed responses for Reasoning Through Language Arts and Science. This webinar will provide you with strategies, frames, and graphic organizers for teaching argumentative writing – both in extended responses and short answers. Remember, it's all about assisting our students in becoming more effective writers.
* Update - As of March 1 2016, Extended Response is no longer included on the Social Studies test.
Close reading is an important skill for our students to acquire. This webinar will concentrate on the importance of close reading skills for the GED® Reasoning Through Language Arts and Science tests. Learn about strategies that you can use to help students more effectively gather evidence, knowledge, and insight from what they read. This webinar will concentrate on the steps that you can integrate in the classroom to teach the skill of close reading using non-fiction text.
As in the past, the lowest scores and passing rates on any GED® content area test are on the Mathematical Reasoning test. Students struggle with mathematics in part due to their lack of conceptual understanding and their reliance on rules and shortcuts to solve problems. This webinar will focus on strategies and resources that can be used in the classroom to enhance students' mathematical reasoning skills, whether the focus is on quantitative or algebraic reasoning. During this webinar, explore different strategies and graphic organizers that will enhance your students' mathematical problem-solving skills.
In this webinar, we'll take a deep dive into the content covered on the 2014 GED® test - Mathematical Reasoning. We'll take a look at the types of questions that students are missing on the test and examine the skills students need in order to answer these question correctly. We'll also explore teaching strategies and techniques that you can use in your classroom to help students develop these skills.
GED® and GED Testing Service® are registered trademarks of the American Council on Education and may not be used or reproduced without express written permission. The GED® and GED Testing Service® brands are administered by GED Testing Service LLC under license from the American Council on Education. | 677.169 | 1 |
Explore, see in new ways, discover patterns, and solve problems. Math and Science software created using LiveCode by Thomas C. Bretl
The software provided on this site may be downloaded, copied, shared, and used for free. Please contact me with comments, suggestions, or requests.
Versions for both Macs (running OS 10) and PCs (running Windows) are provided. Web based versions are currently unavailable, but some iOS versions (for iPad) can be downloaded for free from the App Store.
Choose Astronomy, Math or Open (for Open Source) from the menu above to read about and download the programs. The buttons below are links to my shareware support blog (where you will find explanations, examples, and solutions) and my astronomy blog.
Although it can certainly stand by itself, the purpose of my book is to serve as a resource for users of my math and science software. The book discusses questions raised by that software and explains the underlying math and science concepts on which my programs are based. Like the software, the book is designed to help and encourage students of all ages to explore, see in new ways, discover patterns and solve problems. Topics include mod arithmetic, slopes, planetary motion, probability, magic squares, and recursive functions. Like the software, the book is free. Note: the pdf version is much less interactive. | 677.169 | 1 |
HMH Algebra 1, Geometry, and Algebra 2
High School Math Curriculum
Grades 9–12
Houghton Mifflin Harcourt Algebra 1, Geometry, and Algebra 2 offers an engaging and interactive approach to covering new state standards. This truly innovative high school mathematics program is designed for today's students with seamless integration of digital features for in-class and on-the-go learning. Focused, balanced, and rigorous instruction encompasses the philosophy and intent of the new state standards.
Why?
Adaptive. Intuitive. Transformative.
At Houghton Mifflin Harcourt™, we believe in the power of technology to transform the learning experience and drive teacher effectiveness and student success. With flexible digital and print components and a cutting-edge personalized learning system, HMH AGA provides both teachers and students the strongest options for personalization and flexibility available.
The Next-Generation Solution
With reliable, dynamic content as our foundation, HMH AGA strives to empower students, educators and their families. The HMH Player®app seamlessly merges technology with curriculum, culminating in an experience that elegantly leverages technology and award-winning HMH content—helping change the way you teach and how your students learn.
Comprehensive Teacher Support
HMH AGAsupports teachers through every stage of their instruction, from planning and implementation, to assessment and remediation. The Digital Teacher Experience gives teachers access to a full suite of instructional resources—online or offline—on a variety of mobile devices. With HMH Player, teachers can customize content and present interactive lessons to the entire class right from the app.
A Blended Approach to Instruction
We understand that classrooms and districts across the country are at different stages in the implementation of technology. While our new high school program features a strong digital system, it is also perfect for print or blended instruction. Designed to adapt to your infrastructure and curriculum, HMH AGA meets you where you are and takes you where you want to be.
HMH Player® is a registered trademark of Houghton Mifflin Harcourt.
Explore More
Interactive Brochure
Experience HMH Algebra 1, Geometry, and Algebra 2 through an innovative Interactive Brochure! Watch the program come alive with embedded interactive links. Sample videos, technology demonstrations, and more are just a click away!
Overview
View the video to see how HMH Algebra 1, Geometry, and Algebra 2 can transform your classroom.
Authors
Dr. Timothy D. Kanold - Author
Timothy D. Kanold, Ph.D., is an award-winning international educator, author, and consultant. He is a former superintendent and director of mathematics and science at Adlai E. Stevenson High School District 125 in Lincolnshire, Illinois. He is a past president of the National Council of Supervisors of Mathematics (NCSM) and the Council for the Presidential Awardees of Mathematics (CPAM). He has served on several writing and leadership commissions for NCTM during the past decade. He presents motivational professional development seminars with a focus on developing professional learning communities (PLCs) to improve the teaching, assessing, and learning of students. He has recently authored nationally recognized articles, books, and textbooks for mathematics education and school leadership, including What Every Principal Needs to Know about the Teaching and Learning of Mathematics.
Dr. Edward B. Burger - Author
Edward B. Burger, Ph.D., is the president of Southwestern University, a former Francis Christopher Oakley Third Century Professor of Mathematics at Williams College, and a former vice provost at Baylor University. He has authored or coauthored more than 65 articles, books, and video series; delivered over 500 addresses and workshops throughout the world; and made more than 50 radio and television appearances. He is a Fellow of the American Mathematical Society and has earned many national honors, including the Robert Foster Cherry Award for Great Teaching in 2010. In 2012, Microsoft Education named him a "Global Hero in Education."
Dr. Juli K. Dixon - Author
Juli K. Dixon, Ph.D., is a Professor of Mathematics Education at the University of Central Florida. She has taught mathematics in urban schools at the elementary, middle, secondary, and post-secondary levels. She is an active researcher and speaker with numerous publications and conference presentations. Key areas of focus are deepening teachers' content knowledge and communicating and justifying mathematical ideas. She is a past chair of the NCTM Student Explorations in Mathematics Editorial Panel and member of the Board of Directors for the Association of Mathematics Teacher Educators.
Dr. Matthew R. Larson - Author
Matthew R. Larson, Ph.D., is currently the President of the National Council of Teachers of Mathematics. He will serve in this capacity for two years. He will then return to his position of K–12 mathematics curriculum specialist for the Lincoln Public Schools. He has served on the Board of Directors for the National Council of Teachers of Mathematics from 2010–2013. He is a past chair of NCTM's Research Committee and was a member of NCTM's Task Force on Linking Research and Practice. He is the author of several books on implementing the Common Core Standards for Mathematics. He has taught mathematics at the secondary and college levels and held an appointment as an honorary visiting associate professor at Teachers College, Columbia University.
Steven J. Leinwand - Author
Steven J. Leinwand is a Principal Research Analyst at the American Institutes for Research (AIR) in Washington, D.C., and has over 30 years in leadership positions in mathematics education. He is past president of the National Council of Supervisors of Mathematics and served on the NCTM Board of Directors. He was also a mathematics consultant for the Connecticut State Department of Education. He is the author of numerous articles, books, and textbooks and has made countless presentations with topics including student achievement, reasoning, effective assessment, and successful implementation of standards.
Correlations
Common Core
Correlation guides indicate where—and in many cases how—the Common Core Standards are addressed in the program. Download a PDF to see specifics at a particular level.
Scope and Sequence
The Scope and Sequence provides an overview of the concepts to be covered in a given period of time, as well as how those concepts are addressed over the series as a whole. Download a PDF to see the progression and order of topic introduction.
Teacher Edition
Based on the 5E Model of Instruction, the Interactive Teacher Edition supports teachers with point-of-use Questioning Strategies, teaching tips, resources for differentiated instruction, additional activities, and professional development videos.
HMH Professional Services
HMH Professional Services offers additional programs and services above and beyond what is included with your HMH AGA program.
Features
With a wealth of digital and print resources for the classroom and beyond, Houghton Mifflin Harcourt Algebra 1, Geometry, and Algebra 2 provides today's instructors and students with the tools they need to master state standards and high-stakes assessments. Experience this now through our interactive program overview brochure.
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HMH Player
Take Instruction Into the Digital Era
With reliable, dynamic content as our foundation, HMH strives to empower students, educators and their families. The HMH Player® app seamlessly merges technology with curriculum, culminating in an experience that elegantly leverages technology and award-winning HMH content—helping change the way you teach and how your students learn.
The value of technology is in how it empowers educators. HMH Player provides you with a revolutionary tool, helping you:
Connect
Download content when connected to the Internet, work offline, and then sync when back online.
Customize
Collaborate
Open a Collaborative Classroom Session to use dynamic presentation tools, conduct informal polling, or instant message directly with students.
Communicate
Teachers and students can quickly access real-time reporting to monitor progress and identify areas for improvement.
Download the App Today
Students and teachers using HMH AGA can download the HMH Player app today! HMH Player is available for iPad®, Chromebook™, and computers with Windows® 7 or higher, Mac® OS 10.7 or higher running the Chrome™ browser.
HMH Player® and Personal Math Trainer® are registered trademarks of Houghton Mifflin Harcourt. Apple and the Apple logo are trademarks of Apple Inc., registered in the U.S. and other countries. App Store is a service mark of Apple Inc. Chrome is a trademark of Google Inc.
Personal Math Trainer
Personal Math Trainer® Powered by Knewton™ is the ultimate online, adaptive assessment and personalized learning system for students, with an automatic reporting and optional intervention system for the teacher.
Digital Resources
Are you ready to rethink digital instruction?
At Houghton Mifflin Harcourt, we believe in the power of technology to transform the learning experience and drive teacher effectiveness and student success. With engaging digital and print components and a cutting-edge, personalized learning system, HMH AGA provides both teachers and students the strongest options for personalization and flexibility available.
Discover Our Digital Student Experience
HMH AGA delivers the next-generation Digital Student Experience. Compatible with all Internet-enabled devices, the Digital Student Experience enables student to access all their lesson content online or offline, features digital answer submission functionality, and offers point-of-use links to embedded media, interactivities, and assessments. In every lesson.
HMH Player App
The HMH Player app is the heart of the digital student experience. This complete learning app allows students to:
Download content when connected to the Internet, work offline, and then sync when back online
Digitally raise their hands for help or discreetly instant message teachers for one-to-one communication in the Collaborative Classroom Session
Access real-time reporting to monitor their own progress and build self confidence
Interactive Student Edition
The Interactive Student Edition is based on the 5E Model of instruction with interactive pathways. Embedded features include Real World Videos, Math on the Spot Video Tutorials, the Personal Math Trainer® Powered by Knewton™, and the Student Resource Locker. The Student Resource Locker provides quick access to engaging videos, activities, and resources for every lesson. Virtual Tools allows students to explore interactively and practice key math concepts and skills.
Student Dashboard
Personal Math Trainer
Personal Math Trainer Powered by Knewton is the ultimate online, adaptive assessment and personalized learning system for students, with an automatic reporting and optional intervention system for the teacher.
Discover Our Digital Teacher Experience
The Digital Teacher Experience is also built around the HMH Player app, which supports teachers through every stage of their instruction, from planning and implementation, to assessment and remediation.
HMH Player App
With HMH Player teachers can:
Download content when connected to the Internet, work offline, and then sync when back online
Interactive Teacher Edition
Based on the 5E Model of Instruction, the Interactive Teacher Edition supports teachers with point-of-use Questioning Strategies, teaching tips, resources for differentiated instruction, additional activities, and professional development videos.
Teacher Dashboard
The Teacher Dashboard provides quick access to the Interactive Teacher Edition, Reports, Assignments, Professional Development Videos, mySmartPlanner, and presentation tools. All student work and grades are synced with the Teacher Dashboard. In addition, all work in the HMH Player and Interactive Teacher Edition automatically syncs with the Teacher Dashboard.
GO Math!®, HMH Player®, and Personal Math Trainer® and design are trademarks or registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.
Print Resources
Print Components with a Purpose
HMH AGA offers a truly blended approach to instruction with practical print resources for Students and Teachers including Write-in and Hardcover Student Editions, a Teacher Edition with Solutions Key, and a Response to Intervention Teacher Resource.
Student Resources
The Write-in Student Edition contains rigorous problem sets, as well as real-world problem solving and performance tasks. Digital learning aids are referenced and linked using QR codes. Students can scan the QR code to access their Resource Locker, where they'll find engaging videos and activities for each lesson.
The Hardcover Student Edition is a four-color reformatted replication of the write-in version.
Emphasis on Problem Solving
Higher-Order Thinking problems highlight mathematical practices and require students to explain, justify, and critique reasoning in a problem-solving setting.
Teacher Resources
The Teacher Edition with Solutions Key is a hardcover resource that supports instruction through explanation of best practices, integration of Mathematical Practice Standards, and direction on how to incorporate digital resources in the classroom. the Personal Math Trainer® Powered by Knewton™.
Personal Math Trainer® and design are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.
Instructional Videos
Professional Development Videos
Professional Development videos, featuring program authors Dr. Juli Dixon and Dr. Matt Larson, model successful teaching practices and strategies while implementing the Standards for Mathematical Practice in actual classroom settings.
STEM Professional Development Videos
The STEM Professional Development videos model a variety of strategies that teachers can use to integrate science and engineering topics into their math instruction. These videos feature STEM Consultant Michael DiSpezio as he explores engaging, real-world scenarios such as skateboarding, rocket launches, roller coaster design, and photography.
Real-World Videos
Real-world videos, featuring HMH author Dr. Michael Heithaus, engage students with interesting and relevant applications of each module's mathematical content, tied to each lesson's performance task. These short video segments are just one example of the real-world connections embedded in every lesson, so students can connect and apply mathematics to everyday life.
Math on the Spot Video Tutorials
Math on the Spot Video Tutorials, featuring program author Dr. Edward Burger, accompany every example in the program and give students step-by-step instructions and explanations of key math concepts.
These video tutorials are the perfect tool for students in need of additional or an alternative approach to instruction.
Assessment and Intervention
Ongoing Assessment
With HMH AGA, teachers can tailor a variety of formative and summative assessments to meet the needs of all their students. These include Leveled Quizzes and Tests, Performance Tasks, and Diagnostic and Quarterly Benchmark Tests. The program's assessment resources allow for varied and ongoing assessment of student learning and progress.
Intervention Personal Math Trainer® Powered by Knewton™.
Math on the Spot Video Tutorials, featuring program author Dr. Edward Burger, accompany every example in the program and give students step-by-step instructions and explanations of key math concepts. These video tutorials are the perfect tool for students in need of additional or an alternative approach to instruction. Plus, these videos are perfect for teachers implementing a flipped classroom model!
Personal Math Trainer – Personalized Instruction and Support for EVERY Student
Personal Math Trainer is the ultimate online, adaptive assessment and personalized learning system for students, with an automatic reporting and optional intervention system for the teacher.
One-Click Customization
With Personal Math Trainer, teachers can:
build their own assignments from thousands of items, all correlated and searchable by lesson, Standards, and DOK level
review automatically graded assignments and class reports to determine their next course of action
assign pre-built homework, with a variety of problem types, for every lesson in the course
provide each student with targeted recommendations for other assignments
Differentiated Instruction
Support ALL learners with differentiated Instruction in the Teacher's Edition, which includes:
Leveled Practice and Problem Solving
Reading Strategies
Success for English Learners
Challenge
Personal Math Trainer® and design are registered trademarks of Houghton Mifflin Harcourt. Knewton™ is a trademark of Knewton, Inc.
HMH Professional Services
Our Mission Is to Advance Yours
HMH Professional Services forges student-centered partnerships with schools and districts in the belief that all learners deserve a quality education and the opportunity for lifelong success.
HMH Professional Services includes teachers, leaders, and technologists. Our Professional Learning Consultants become part of your team, working right beside you to build and implement professional learning plans that respect the unique needs and culture of your school or district community. Through program, practice, and technical services, we work collaboratively to unlock the full potential of every student, teacher, and leader.
Comprehensive Services for K–12 Educators
We offer teachers and instructional leaders a full suite of learning and support options to deepen their mastery and hone their teaching skills throughout the school year | 677.169 | 1 |
Pages
How to get help in math: "Math help!"
Having many tools for education as we do have today, there is one tool that outsmarts (or outmaths) them all. It is yourself. You need to get help in math? Help yourself. Read from your text book, read online material, see peoples blogs, try to get the solved examples, , try to do your homework, try to solve a few sums, and so on...
The list seems never ending, doesn't it? But if you do do each of these steps regularly, it will take hardly 2 hours to score learn math.
Here is a guide which you can follow in your everyday schedule - and you will surely see the results yourself!
Read from your text book: 15 minutes
Take 15 minutes aside from everything. Sit in a quite place in your room tell everyone not to disturb you. And take your text book and read the one chapter which you want to study:
You don't need to read it thoroughly
You don't need to learn the formulas
You just need to get what this topic is about.
Read online material/blogs: 15 minutes
Again, do not let anything disturb you for these 15 minutes. Search your topic on the web, find a few decent looking sites, and click on the most decent looking one. Remember to click only on one site: The more sites you will open in one go, the more you will be confused.
Go through the site and see if it matches your text book's material. Now try to understand some of the concepts explained in the site. Note down the formulas mentioned in the topic and see what the formulas mean.
Go through a few solved examples: 15 minutes
Whether in your text book, or in a math site/blog, you will certainly find some solved examples. These are essential parts of math. You need to take the first solved question, and understand how they did it:
What is asked in the question?
Which formula/theorem/principle or concept is used to solve it?
If you get your two above questions answered in each of the solved examples, you have completed almost 50% of the work. This means that presently, if you sit a test, you will score 50% at the very least. Just remember these solved examples in your test, and the formulas used.
Try your homework: 15 minutes
Okay. You don't complete your homework everyday. Or, you copy it from your friends book?
Just spend 15 minutes on trying to do your first few sums on your homework. After following this procedure, there will be very few home works that you do not complete yourself:
Match your homework sums with the solved examples in your text book or on Google.
Now see which formula they used to solve it.
Try to use the same formula in the question yourself.
Complete.
Now, take a short break...
Try a few sums: 15 minutes
With homework, you have to do the sums given. Now chose which sums you like to solve most from the exercise given in your text book. Do all of these. Leave the rest for now.
Following the above procedure, you will have secured your 75% marks on this topic till now. This means that if you sit a test presently, 75% is the lest grade you will get. (Don't worry if you get below 75%. It means that you need to spend 15 more minutes, sincerely, on basic concepts.)
1 comment:
Practice is the basic word while it comes to math. Math is a boon and learning is always fun if taken in the right spirit. You should not avoid math. Besides parents and school teachers, you can ask online math tutors for help. There are several online tutoring services available to help you, irrespective of the grade you are studying in. Some of them specialize in math, for instance, tutorteddy.com. If you have difficulties in math or science you can try it. | 677.169 | 1 |
Combinatorial Mathematics 组合数学 (edX)
Discover how to apply counting principles and combinatorics to solve problems in computer science, financial analysis, and your daily life.
Our lives are full of combinations. Combinatorial mathematics is just the science to deal with combinations of discrete items. As an ancient field, the history of combinatorial mathematics could be traced back over 4000 years to the age of the Great Yu in ancient China. Nowadays, it is regarded as the fundamental knowledge of computer science since the algorithms in programming heavily rely on the analysis of the discrete elements.
Instead of relying on the traditional mathematical "theorem - proof" format, we show various principles in an intuitive manner with ancient stories, the scenes of movies and even the magic show. Specific topics covered include:
- The counting principles based on the basic operations "+", "-", "*", "/";
- Generating functions;
- Recurrent number serials such as Fibonacci number, Catalan number etc;
- Pigeon hole principles;
- Inclusion and exclusion principles;
- Polya counting based on group theory.
This course is based on a highly regarded on-campus Tsinghua class called Combinatorics, and is ideal for students who are interested in mathematics or computer science. Enroll today and learn the mathematical theory needed to solve the real-world problems!In this course, you will learn the science behind how digital images and video are made, altered, stored, and used. We will look at the vast world of digital imaging, from how computers and digital cameras form images to how digital special effects are used in Hollywood movies to how the Mars Rover was able to send photographs across millions of miles of spaceData | 677.169 | 1 |
A blog for planning Algebra 1
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Defining new symbols
Park Math's curriculum has a whole series of problems that ask students to define new symbols and understand their properties. They aren't really interested in helping students learn about the commutative and associative properties, though these things do come up in the set of problems. What I'd like to do is use these problems both as a context for deepening their understanding of number properties, while also making these problems more closely tailored to focus on their work with order of operations and their calculator work. I'd like to use these problems to hit things like and PEMDAS. | 677.169 | 1 |
Matlab Tutorials
You should have basic computer skills. For example, you should be comfortable with starting applications, opening, closing and saving files, cutting and pasting text, directory structures, etc.
You should know how to use a text editor, such as Windows Notepad, that you can use to write MATLAB programs. MATLAB also has its own built-in text editor which you can use(we'll show you how).
You should know basic algebra and trigonometry such as is typically covered in high school. Knowledge of basic linear algebra(i.e., concepts such as matrix, vector, inverse etc.) would also be very helpful, but is not strictly necessary; basic concepts and constructs from linear algebra will be explained as needed.
The tutorial is intended to be highly interactive. While you are reading the exercise pages you should have MATLAB running in a separate window and you should perform and experiment with the tutorial exercises.
Tutorials
You can find many on-line tutorials on MATLAB on the internet. Listed below are some of them. These are second-hand documentations. Tutorials are meant to get you started, far from being complete. (For completeness, look to the next section.) Thus, topics missed in some will be picked up in others. The extent of coverage presented in the following first two links is suitable for ENCH250.
The first Basics Chapter from the above URL is suitable for ENCH250 students. Although other chapters are probably too advanced for sophomore ENCH250 students now, you can come back later when you take Chemical Process Control.
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2 thoughts on "Matlab Tutorials"
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Alpha Omega LIFEPAC 9th Grade - Math - Algebra 1
Are you
experiencing the frustration that many homeschool parents feel
when trying to teach algebra to their teen? Alpha Omega
Publications has a solution that you're going to love! It's the
LIFEPAC Algebra I Set. In this mastery-based math program,
your student will focus on mastery of a single skill, and
then move on to learn new concepts, laying a foundation for
ever-increasing levels of proficiency. In LIFEPAC Algebra I,
your student will study concepts such as: variables, signed
numbers, solving inequalities, solving word problems, addition,
operations with polynomials, binomial factors, radical expressions,
irrational numbers, graphing lines and inequalities, graphical
solutions, and much more.
Variables and
Numbers
Solving
Equations
Problem
Analysis and Solution
Polynomials
Algebraic
Factors
Algebraic
Fractions
Radical
Expressions
Graphing
Systems
Quadratic
Equations and Review
Each Ninth
Grade LIFEPAC set includes 10 workbooks and 1 Teachers
Manual. The Teachers Guide contains answer keys for all LIFEPAC
activities, self-tests and unit tests, activities andSee below to order the complete set of
Ninth Grade LIFEPACS that include Bible, Language Arts, Science,
History, and Math. | 677.169 | 1 |
GVSU MTH 495 Summary
This article provides a summary of the topics covered in the GVSU course Nature of Modern Mathematics. Please make sure to respect the ownership other people's material. This includes the syllabus to the course. Do not simply copy it to this article or upload it without their permission. Please make sure to read the writing guidelines. | 677.169 | 1 |
TI-84: Window & Table
Be sure that you have an application to open
this file type before downloading and/or purchasing.
795 KB|8 pages
Product Description
Students explore the TI-84 on their own by following the step-by-step instructions.
This intro to the graphing calculator focuses on using the TABLESET and WINDOW.
Many of my students are intimidated by the many buttons of the TI-83/84, especially because it is so much less intuitive than their calculator apps on their phones. They've found this to be a very useful exercise and I have them keep it in the front of their binders. | 677.169 | 1 |
Entries from August 2012
The Algebra II course is composed of advanced algebraic concepts including: equations, inequalities, systems of equations and inequalities, functions, polynomials, statistics, complex numbers, rational expressions, permutations and combinations, sequences and series. The course will be mastered through the use of oral and written communication concerning the language of algebra, logic of procedures, and interpretation of results. Graphing utilities( graphing calculators, computers, and computer-based labs) will be used by students. | 677.169 | 1 |
Mathematics for the Green Industry: Essential Calculations for Horticulture and Landscape…
Paperback | June 18, 2008
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Get this comprehensive guide to the use of math in the Green Industry.
Designed for both students and practitioners in the Green Industry, this book offers full coverage of the calculations necessary to effectively, safely, and economically manage a Green Industry operation. The authors provide clear explanations of all relevant mathematical principles and cover calculations inherent in all aspects of the Green Industry, from determining area and volume, to the application of fertilizers, pesticides, and growth regulators, to preparing design and installation cost estimates. Coverage includes computations for: | 677.169 | 1 |
Bell Curve EquationEquation Calculator is a scientific calculator which does symbolic and algebraic manipulation, algebra and calculus as well as numeric computation. You can define variables and functions, evaluate symbolic derivatives, numeric integrals and matrix operations.NLREG performs nonlinear regression and curve fitting. NLREG fits a mathematical function whose form you specify to a set of data values. Virtually any type of function can be fitted. NLREG includes a programming language similar to C that you use for describing the function to be fitted. Two | 677.169 | 1 |
Lecture 13:
Introduction to Discrete Fourier Transform
Sections 2.2.3, 2.3
The discrete Fourier transform (DFT) is a powerful computational tool. It allows us to resolve
nite-dimensional signal vectors into sinusoids of dierent frequencies, some of which
Lecture 10:
Inner Products
Norms and angles
Projection
Sections 2.10.(1-4), 2.12.1
Sections 2.2.3, 2.3
Inner Product
For real-valued vectors, the dot product is also known
as inner product and plays an important role in the
development of vector geometry
Lecture 6:
Aliasing
Sections 1.6
Key Points
Two continuous-time sinusoids having dierent frequencies f and f
(Hz) may, when sampled at the same sampling rate fs, produce sample
sequences having eectively the same frequency. This phenomenon is
known as al
Lecture 13:
Examples of the DFT and its inverse; DFT of a real valued
signal
Sections 2.2.3, 2.3
In the previous lecture, we considered DFT vectors (or spectra) with a single nonzero
entry. The corresponding time domain-signals are Fourier sinusoids. Thus
Lecture 2:
Lines and circles on the complex plane; complex
multiplication and division
Equations and Curves
|z| - Length of the vector z.
|z1-z2| - Distance between the points z1 and z2.
Geometrical interpretation of the following:
|z z0|= a
a - posi
Lecture 1: Complex Numbers
What is a complex number?
A complex number z is a point (or vector) on a
two-dimensional plane, known as the complex
plane and represented by C.
Cartesian Coordinates
The Cartesian coordinates of z are
x = Recfw_z; the real p
Lecture 5:
Sampling of Continuous-Time Sinusoids
Sections 1.6
The Sampling formula
Sampling is the recording or grabbing of the
values of a continuous time signal at discrete
time interval.
The sampling formula
x[n]= x(nTs)
x[n] Sequence of samples from
EE140 Project 1: Linear Least-Squares Fit
Due Thursday (Apr 6) before midnight. Note: 2 week deadline. Start this project early; you will
not have enough time to finish the project if you start it only a few days before the deadline.
Linear Least-Squares
EE140 Project 2: Discrete Convolution
Assigned Thursday (April 6) due Thursday (April 20) at midnight.
The convolution operation is frequently used in many areas of engineering and physics. It can be
used to determine the response of a linear system to a
EE140 Intro to Programming Concepts for Engineers
Lab 8
Due Thursday April 6 by midnight.
Please turn in the assignment electronically, as usual. Turn in a tar archive of a directory called
assignment_8; turn in code and executables for the remaining prob | 677.169 | 1 |
Showing 1 to 11 of 11
MATH 080 |
Review #I
1. You are making cakes for the church bazaar. Each one calls for 3 eggs and two Cu 5 of milk
a, If you are baking 12 cakes, how much milk and how many eggs do you need t5) buy? .
\ZX?) 34 3Q? <1.
i) x 2, 7 30/ ~ ~ .
Qc p35? Mmz.
b
Developmental Math 1 Advice
Showing 1 to 1 of 1
Yes there was a learning support center that came with doing this math class. It was so very helpful. The teacher was very knowledgeable and was able to break each problem down so that you can understand it. He was willing to help each student.
Course highlights:
There was a learning support center that was available to you while taking this class. I am not great with math, but I believed in God to guide me. I started at the back of my class and came to the front real fast because I trusted in God and was patient. | 677.169 | 1 |
This is the fifth edition of a work which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities. It is neither a systematic treatise on the theory of numbers nor a 'popular' book for non-mathematical readers.
This is the fourth edition of a work (first published in 1938) which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities.
Designed for use in a two-semester course on abstract analysis, Real Analysis: An Introduction to the Theory of Real Functions and Integration illuminates the principle topics that constitute real analysis. | 677.169 | 1 |
Pre-order this item
Scientific calculators: buying tips
Most people will need a scientific calculator at some stage in their education (usually at high school or college) in order to solve complicated mathematical problems. A basic calculator will only perform simple and straightforward calculations, but a scientific calculator will work out complicated formulae and perform various trigonometric functions.
Scientific calculators are designed to be user-friendly and intuitive, and you will also be able to find videos online to learn how to use them.
Points to remember when making a purchase
When shopping for a scientific calculator, look for one with at least a two- line screen and make sure it has an alpha-numeric keyboard. Most calculators have a two- line display, but some have four lines.
Check with your maths or science tutor for details of the exact functions you need. Most scientific calculators have logarithmic, trigonometric and exponential functions, and also include features for storing scientific constants and writing scientific notations. Even so, calculators vary, so read the product descriptions carefully. | 677.169 | 1 |
Language: English . Brand New Book. Clearly written and comprehensive, the eleventh edition of Gustafson and Hughes ll need in future courses and in everyday life. Retaining the mathematical precision instructors have come to expect, the authors have focused on making this new edition more modern to better illustrate the importance of math in our world. N° de réf. du libraire BZV9781111990909
Clearly written and comprehensive, the eleventh edition of Gustafson and Hughes''ll need in future courses and in everyday life. Retaining the mathematical precision instructors have come to expect, the authors have focused on making this new edition more modern to better illustrate the importance of math in our world.
About the Author:
R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.
Jeff Hughes has taught the college algebra course continually for the past 20 years, and his firsthand experience with students lends itself to the innovative ideas he has brought to the text. He has led the way for the addition of the new features and the revised content in COLLEGE ALGEBRA, 10E. He teaches at Hinds Community College in Mississippi | 677.169 | 1 |
Precalculus: Enhanced With Graphing Utilities
This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series. It is used by thousands of students and hundreds of instructors because, simply, "IT WORKS." "IT WORKS for both instructors and students because Mike Sullivan, after twenty-five years of teaching, knows exactly what students need to do to succeed in a math class and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Students who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed in class. Instructors appreciate this emphasis as it supports their teaching goals to help their students succeed as well as appreciate the fact that this dependable text retains its best features- - accuracy, precision, depth, strong student support, and abundant exercises, while substantially updating content and pedagogy.After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.
Book Description Pearson Prentice Hall, 2004. Hardcover. Book Condition: New. 4th. THE BOOK IS BRAND NEW31924966-N | 677.169 | 1 |
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