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Getting Quality Help With Intermediate Algebra Homework: Vital Tips
If you don't have strong math skills, intermediate algebra homework might seem too complicated for you to deal with. Fortunately, you can get plenty of useful help resources both free and paid. Keep in mind that choosing free options requires some background study, as you must ensure that you're using high-quality study materials. The following vital tips are provided in order to help you get the necessary assistance with your algebra homework:
Find good examples of solved problems.
It's always easy to follow a good example. You can find some of them by looking through your class notes, reading a textbook, and searching on the Web. Your classmates can also share their examples of solved problems. You can contact students who are the members of a math study group and ask for samples.
Watch intermediate algebra video lessons.
It's advisable to learn the theoretical grounds before you start working on your homework, so consider watching video lessons. On the Internet, you can find plenty of high-quality video lessons that explain intermediate algebra concepts and topics. Some of these lessons provide tips and guidelines on how to deal with a certain kind of problems.
Get a workbook and study without a computer.
Many students find it helpful when they can study without their computers. You can get a workbook with lecture notes, sample problems, additional exercises, and answers to the exercises in a conventional print format. Ask your teacher which one he or she will recommend to you or visit the college library and ask a librarian for help.
Choose a convenient intermediate algebra study website.
If you like using online help resources, you can take your time and select a website that provides algebra topics with video lessons, interactive exercises with immediate feedback that allows you to track your progress, and real-world examples in both problems and lectures. It's also a good idea to find a website with a glossary of mathematical terms and concepts.
Consider hiring an online algebra tutor.
An experienced tutor can help you handle your homework. He or she will explain you the material you don't understand, assist you with your homework, and provide some useful tips and tricks on how to work on your assignments effectively. However, before hiring a tutor, you should check his or her reputation, read the comments left by other students, and ask questions about a payment policy if you have any. | 677.169 | 1 |
Explore the main algebraic structures and number systems that play a central role across the field of mathematics
Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts.
The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory.
Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material.
Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education. | 677.169 | 1 |
Sections
Test Information Guide
Field 09: Mathematics
Sample Multiple-Choice Questions
Candidates taking the Mathematics test (field 09) will be provided with an on-screen scientific calculator with functions that include the following: addition, subtraction, multiplication, division, square root, percent, sine, cosine, tangent, exponents, and logarithms. You may NOT bring your own calculator to the test.
Number Sense and Operations
Objective 0002 Understand the properties of real and complex numbers and the real and complex number systems.
1. Use the proof below to answer the question that follows.
Which of the following properties of the real numbers is used to justify one of the steps in the above proof?
Objective 0003 Understand the principles of number theory.
Gear A and Gear B rotate as indicated in the diagram above. What is the least number of complete revolutions Gear A must make for the gears to align again as shown?
2. Use the diagram below to answer the question that follows. Two gears. Gear A and Gear B. Gear A is larger than Gear B. Gear A has fourteen teeth labeled one to fourteen. Gear B has twelve teeth labeled one to twelve. The tooth labeled one on Gear B is in the groove on Gear A between tooth fourteen and tooth one. Gear A is moving clockwise and Gear B is moving counter clockwise.
2
6
42
84
Answer
Correct Response: B.
Correct Response: B.
Patterns, Relations, and Algebra
Objective 0005 Understand the properties of functions and relations.
3. Which of the following graphs represents a one-to-one function?
graph with two curves, first curve is in the third quadrant starting at the left close to the x access and decreasing slowly at first then very quickly as it gets closer to the y axis second curve is in the first quadrant starts high close to the y axis then decreases quickly at first then decreases much slower as it approaches the x axis
graph with a curved continuous function starting in third quadrant increasing quickly past the x axis into the second quadrant where it slows its increase to a peak then starts to decrease slowly then quicker as it passes the y axis into the first quadrant past the x axis into the fourth quadrant where it slows its decrease to a low peak then starts to increase quickly past the x axis back up into the first quadrant where it continues to increase.
Answer
Correct Response: C.
Correct Response: C.
Objective 0008 Understand the properties and applications of quadratic relations and functions.
4. Use the diagram below to answer the question that follows.
The four corners of a square PQRS have been cut off to form a regular octagon, as shown in the diagram above. If each side of the square is 1 cm long, which of the following equations should be solved to find the length of each side of the octagon, x?
x2 + 2x – 1 = 0
x2 – 4x + 2 = 0
3x2 + 2x – 1 = 0
7x2 – 8x + 2 = 0
Answer
Correct Response: A.
Correct Response: A.
Objective 0010 Understand the properties and applications of exponential and logarithmic functions and relations.
5. If logx10 = 0.9603, which of the following is the best approximation of x?
7
9
11
13
Answer
Correct Response: C.
Correct Response: C.
Geometry and MeasurementObjective 0015 Understand the principles and properties of coordinate and transformational geometry and characteristics of non-Euclidean geometries.
7. The center of a town is located at (0, 0) on an x-y coordinate system with each grid unit measured in miles. A radio tower is located at the point (15, –20). The radio signal is strong enough to reach homes within a 40-mile radius. Which of the following inequalities represents all ground locations within 40 miles of the radio tower?
(x – 15)2 + (y + 20)2 ≤ 40
(x + 15)2 + (y – 20)2 ≤ 40
(x – 15)2 + (y + 20)2 ≤ 1600
(x + 15)2 + (y – 20)2 ≤ 1600
Answer
Correct Response: C.
Correct Response: C.
Data Analysis, Statistics, and Probability
Objective 0016 Understand the principles and concepts of descriptive statistics and their application to the problem-solving process.
8. Use the diagram below to answer the question that follows.
Bar graph showing the number of cars on the y axis and the age of cars on the x axis where the standard deviation sigma equals two point eight six and the mean mu equals six point four eight. Now the data of cars and their ages. two cars that are one year old, five cars that are two years old, two cars that are three years old five cars that are four years old, six cars that are five years old, three cars that are six years old, four cars that are seven years old, seven cars that are eight years old, six cars that are nine years old and ten cars that are ten years old.
The graph shows the distribution of the age of 50 cars in a parking lot. Rounded to the nearest whole number, the mean, μ, is 6 years and the standard deviation, σ, is 3 years. How many cars have an age within one standard deviation of the mean?
17
20
33
41
Answer
Correct Response: C.
Correct Response: C.
Trigonometry, Calculus, and Discrete Mathematics
Objective 0019 Understand the properties of trigonometric functions and identities.
9. Use the graph below to answer the question that follows.
Graph showing continuous curve starting in the fourth quadrant increasing through the origin up to y equals one half then decreasing down to the x axis at pi over two back into the fourth quadrant down to y equals negative one half then increasing back up to the x axis at pi and continuing into the first quadrant.
The graph of which of the following equations is shown in the figure above?
y = cos (2x)
y = 2 cos
y = sin (2x)
y = 2 sin
Answer
Correct Response: C.
Correct Response: C.
Objective 0022 Understand integral calculus.
10. Use the graph below to answer the question that follows.
Graph showing velocity in miles per hour on the y axis and times in hours on the x axis. Starting at open parenthesis zero comma one hundred close parenthesis there is a steadily increasing line up to open parenthesis one half comma six hundred close parenthesis where the velocity stays constant until three point five hours where it steadily decreases until open parenthesis four point five comma one hundred close parenthesis
The graph above approximates an airplane's velocity, v, in miles per hour, during a four-hour-and-thirty-minute flight. The plane left the ground at a velocity of 100 mph and took 30 minutes to reach its cruising speed of 600 mph. One hour before landing it began to descend and landed at a velocity of 100 mph. Which of the following is the best estimate of the total distance in miles that the airplane flew while in the air? | 677.169 | 1 |
This blog is mainly a place for me to record my thoughts on the math lessons I use in my high school algebra class.
Wednesday, November 5, 2014
IMP Day 28 - Algebraic Expressions quiz retake, Out Numbered and From Rules to Graphs
Today I decided I would go over the Ox Expressions at Home assignment (which I gave as a quiz) in class and then give them a quiz retake. I had a different version of the quiz and let them take it. The majority of the class improved. We then finished Out Numbered and started From Rules to Graphs. I love the way this unit develops writing function rules and graphing! | 677.169 | 1 |
Multivariable Calculus: Introduction to Vectors
In this vector learning exercise, students find the length of vectors and the distance between two points. This two-page learning exercise contains examples, definitions, and explanations, as well as two problems. | 677.169 | 1 |
This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the...
see more
This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the relationships between various characteristics of data. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Computer Science 106; Mathematics 121; Economics 104; Biology Statistics to Bookmark material or Course ePortfolio
This course introduces the student to the study of linear algebra. Practically every modern technology relies on linear...
see moreComputer Science 105, Mathematics 211Linear Algebra is both rich in theory and full of interesting applications (from simplifying internet search algorithms to...
see more
Linear Algebra is both rich in theory and full of interesting applications (from simplifying internet search algorithms to managing air traffic); in this course the student will try to balance both. This course includes a review of topics learned in Linear Algebra I. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 212ivariable Calculus is an expansion of Single-Variable Calculus in that it extends single variable calculus to higher...
see more
Multivariable Calculus is an expansion of Single-Variable Calculus in that it extends single variable calculus to higher dimensions. This course begins with a fresh look at limits and continuity, moves to derivatives and the process of generalizing them to higher dimensions, and finally examines multiple integrals (integration over regions of space as opposed to intervals). This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics how numerical methods are used by engineers to translate the language of mathematics and physics into...
see more Methods for Engineers to Bookmark material or Course ePortfolio
This course begins by establishing the definitions of the basic trig functions and exploring their properties, and then...
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This course begins by establishing the definitions of the basic trig functions and exploring their properties, and then proceeds to use the basic definitions of the functions to study the properties of their graphs, including domain and range, and to define the inverses of these functions and establish the their properties. Through the language of transformation, the student will explore the ideas of period and amplitude and learn how these graphical differences relate to algebraic changes in the function formulas. The student will also learn to solve equations, prove identities using the trig functions, and study several applications of these functions. Note that this course3 introduce the student to the rigorous examination of the real number system and the foundations of...
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This course is designed to introduce the student to the rigorous examination of the real number system and the foundations of calculus. Analysis lies at the heart of the trinity of higher mathematics—algebra, analysis, and topology—because it is where the other two fields meet. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 241)
Material Type:
Online Course
Author:
The Saylor Foundation
Date Analysis I to Bookmark material or Course ePortfolio
This course is designed to introduce the student to the study of Calculus, which, in its simplest terms, is the study of...
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This course is designed to introduce the student to the study of Calculus, which, in its simplest terms, is the study of functions, rates of change, and continuity. The student will learn concrete applications of how calculus is used and, more importantly, why it works. The course addresses three major topics: limits, derivatives, and integrals, as well as study their respective foundations and applications. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Biology 103, Mathematics 101, Mechanical Engineering 001, EconomicsVariable Calculus I to Bookmark material or Course ePortfolio
This course is the second installment of Single-Variable Calculus. The student will explore the mathematical applications of...
see more | 677.169 | 1 |
Upcoming Events
Math
All students take the same mathematics courses for grades 8 and 9. In grade 10 students can choose between: Foundations of Mathematics 10 and Apprenticeship and Workplace Mathematics 10. In grade 11 and 12, depending on their planned post-secondary education path, students have the option of choosing between: Foundations of Mathematics 11/12, Apprenticeship and Workplace Mathematics 11, and Pre-Calculus 11/12. Students must take a minimum of one mathematics course at the grade 11 level for graduation and depending on post-secondary education plans, students will need to take more.
Secondary mathematics at LFAS starts off by building upon the mathematics skills that students have already acquired and working to develop them further each year, broadening their abilities to apply and make connections with various problems. Throughout their years in Mathematics at LFAS, students will work on developing their mathematics skills through practice, projects, life application, problem solving, collaboration and learning transferable skills | 677.169 | 1 |
By Dr John Kelliher
Release Date: 2012-06-05
Genre: Mathematics
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Description
This eBook introduces the subject of transformation as it relates to translations, reflections, rotations and enlargements either as individual operations or composite operations. In this eBook we illustrate each of these translations using right-angled triangles, but the principles developed extend to all 2D shapes as well as to 3D shapes using extensions.
This eBook is part of our range of Key Stage 3 (KS3) maths eBooks that are fully aligned with the UK Governments national curriculum.
Our maths eBooks are produced such as that as well as a Publications Guide, and three principle publications corresponding to the principle sections (Number and Algebra, Geometry and Measures and Handling Data) there are individual modules produced within each principle section which are published as eBooks.
Transformations is a module within the Geometry and Measures principle section our Key Stage 3 (KS3) publications. It is one module out of a total of six modules in that principle section, the others being: •2D Shapes and 3D Solids •Loci, Constructions and 3D Co-ordinates •Angles, Bearings and Scale Drawings •Pythagoras' Theorem, Trigonometry and Similarity •Measures and Measurements | 677.169 | 1 |
Mathemaics Formulae
Books Specification
Binding
: Paper Back
Language
: English
Edition
: 1st
"Faced with the conundrum of ever changing life, all of us yearn for a single formula which can solve the problem at hand. Recollecting the exact formula that would help in navigating the labyrinth of a problem is the perpetual problem. This really stares at us in the face when trying for competitive examinations and mostly in Mathematics where quantitative ability bodes importance. This book gives quick glance at commonly needed formulae for Arithmetic, Algebra, Boolean Algebra, Geometry, Trigonometry, Calculus, Coordinate Geometry, Vectors, Dynamics and Statistics. The book is not only designed for the students and job aspirants but it is also a quick reference and handy guide for the teachers. | 677.169 | 1 |
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This test covers the 6th grade expressions and equations common core standards. Using PARCC and MCAS questions.This included the standards of 6.EE 1 through 7. This includes:
Order of Operations
Distributive Property
Evaluating Expressions
Exponents
Equivalent Expressions
One Step Equations
Answer key is provided.
The test ranges from some basic exponent questions to some challenging distributive property questions where students have to relate distributive property to perimeter. This ensures that some of your weaker students will have some chances at questions while other students will be challenged and ready for the standardized tests at the end of the year.
**This test is also included in a bundle of Expression/Equation Test with Goals, Expression/Equation Study Guide and Expression/Equation Challenging Test. Get the bundle here: Expression and Equation Test Bundle | 677.169 | 1 |
Visual representation of the product rule for derivatives in Calculus.
published:06 Jun 2015
views:24641
published:04 Apr 2015
views:26699published:12 Apr 2017
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We define and compute examples of derivatives of complex functions and discuss aspects of derivatives in the complex plane
published:12 Jun 2014
views:2495801 May 2017
views:21213420 Oct 2011
views:249040 samples to the press in order to generate media coverage for their products. Depending on the product, companies may provide free samples to prospective buyersProduct Rule for derivatives: Visualized with 3D animations
Visual representation of the product rule for derivatives in Calculus.
7:38
math animations derivatives
math animations derivatives
math animations derivatives
18:43
Derivative formulas through geometry | Chapter 3, Essence of calculus
Derivative formulas through geometry | Chapter 3, Essence of calculusThe derivative of a complex function6:55
Partial derivatives and graphs
Partial derivatives and graphs , Partial Derivatives - Part 18:50
Directional derivatives and slope
Directional derivatives and slope51
MultiVariable Calculus - Implicit Differentiation
MultiVariable Calculus - Implicit Differentiation how it is used m...
Gradients and Partial Derivatives
Product Rule for derivatives: Visualized with 3D animations
Visual representation of the product rule for derivatives in Calculus.
published: 06 Jun 2015
math animations derivatives
published: 04 Apr 2015
published: 30 Apr 2017
Calculus -- The foundation of modern science http...
Sal walking through the derivative intuition module made by Ben EaterPractice this lesson yourself on KhanAcademy.org right now:
Watch the next lesson:
Missed the previous lesson?
Differential calculus on Kh...
published: 20 Oct 2011 12 May 2016published: 23 May 2016...
published: 12 May 2016Partial derivatives | Multivariable Calculus | Khan Academy
Introduction to partial derivatives.
Watch the next lesson contentA visual explanation of what the chain rule and product rule are, and why they are true.
Check out Brilliant:
Full playlist: http:/...General Chain Rule , Partial Derivatives - Part 1
GeneralChain Rule - Part 1 - In this video, I discuss the general version of the chain rule for a multivariable function. There will be a follow up video doin...Directional derivatives and slope
The directional derivative can be used to compute the slope of a slice of a graph, but you must be careful to use a unit vector.
About Khan Academy: Khan Acade... alongdirectional derivatives and gradients in 3d
multivariable calculus, directional derivatives and gradient vectors
published: 18 Feb 2012, Topic 7: Vector-valued calculus
(2012-2013)02 - Differential forms, Exterior and Lie derivatives
published: 17 Jan 2017
MathCAD Graphing and Calculuspublished: 01 Jun 2016
3D Reflections with Vectors and Quaternions Tange... ...MathCAD Graphing and Calculus
Plotting expressions is important to visualize data, relationships between variables, and perform analysis. Mathcad plotting allows visualization of variable va...3D Reflections with Vectors and Quaternions
In addition to rotating vectors, there is a way to reflect vectors through planes using quaternions. We'll derive how to do this transformation from the point o... dimensional19:04
Calculus -- The foundation of modern science
Easy to understand explanation of integrals and derivatives using 3D animations.We define and compute examples of derivatives of complex functions and discuss aspects of ... - Part 1 - In this video, I discuss the general version of the chain ru...The Chain Rule + Directional Derivatives and Gradi...
Mod-01 Lec-37 Derivatives -Using ARCore, Streem now captures rich 3D data about the real world and can anchor AR items in that space ...3DArrows | 677.169 | 1 |
MATLAB: An Introduction with Applications by Amos Gilat
Book Description:
MATLAB: An Introduction with Applications by Amos Gilat by Amos Gilat book is intended for the MATLAB programming program, This eBook requires no past information of PC programming. The starting section portrays fundamental components of the program and demonstrates to utilize it in basic number juggling operations with scalars. The following two sections concentrate on the point of exhibits, while the rest of the content covers an extensive variety of different applications. PC screens, instructional exercises, tests and homework inquiries in math, science and designing, furnish the perusers with the down to earth hands on encounter required for capability.
PDF Download Links: | 677.169 | 1 |
With a Mastery Learning approach your students are never graded for wrong answers, only correct responses; they work at problems until they 'get it.'
Topics are arranged by chapter, section and levels. Within each level are all the types of problems that identify the concepts that your students must know in order to be successful in Algebra including Graphs and Word Problems.
All problems are algorithmically generated.
10 minute learning curve.
Step by Step solutions.
Only Free-form answers.
Dynamic Grade reports on all screens.
Needs no internet connection.
Can be networked.
Free Home Use For Teachers
Free Upgrades
Free Install on New PCs
This program is for a student who believes that Algebra is difficult and complicated to understand. It is an easy and economical solution for students who are struggling. If you add up the cost of extra tutors....this program is a great value. From my perspective: We discovered quite quickly that Brayden and Joey were not ready to try Algebra (they are early Middle School and behind in math). So to avoid frustration and a possible quick hating of Algebra, I had them stop and I played around a bit with the program. I like the "no-frills" aspect of the game. There are times that all the extra characters and flashing lights really draw away the attention span from what is really intended in a program. No matter how much the kids like it, I find they play more either in the games section or changing their avatar than actually using a program for learning. I have to say...I need to use this more. I did not realize how much I had forgot when dealing with Algebra. Fortunately I have some time to familiarize myself again. The program took me just a bit to get loaded, but let's just say that I need some more computer help too...lol. So it was fairly easy to load up and get going. The cost is also very reasonable considering what a tutor or specialized math program could cost you. In fact, you can download the basic Math911 Algebra 1 program for free. The premium program which includes Algebra 2, Precalculus, Trigonometry, and Introductory Statistics is only $49.95. This includes free program upgrades and technical support. You can also purchase Algebra in a Flash...flashdrive. This option allows students to continue their program on various computers. Such as main desktop to traveling with a laptop. This is also only $49.95. But they are running a special:
Would I recommend this program? Yes I would. The easy to use interface is well worth it. If a child is already struggling, why make them more frustrated trying to use a program that is supposed to be helping him. I am going to continue using this program to refresh myself so that when Joey is ready or even Brayden, since he is the one who loves math, for Algebra....I will be ready for them.
*****Disclaimer......I received Math911 program free of charge for the sole purpose of this review. I was not required to write a positive review. The views I have expressed are my own and are real experiences with my family. I am disclosing this is accordance with the Federal Trade Commission's 16 CFR, Part 255 Concerning the Use of Endorsements and Testimonials in Advertising." | 677.169 | 1 |
From the author of the Mathematics Finely Explained series a book that tackles the ins and outs of studying. Starting from setting a goal, to setting time constraints through to the tedium of the job the author provides an insightful, humourous take
Ask Mathematics Finely Explained a question. They will receive an automated email and will return to answer you as soon as possible.
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TEACHING EXPERIENCE
37 years teaching
MY TEACHING STYLE
Assignment OrientedRob Shutler graduated from Lachine High School and moved on to John Abbott College. Here he got his D.E.C. in Pure and Applied Science. His next academic stop was McGill University, where he received his BSc with a major in Mathematics and a Graduate Diploma as a Mathematics specialist from the faculty of Education.
He was a high school teacher in the picturesque town of Hudson and taught at Hudson High School. Through the years he has taught Math to all the high school levels and also mixed in stints teaching English, Phys-ed, Computer Science and Physics.
Throughout his career he has coached football, touch football, basketball, rugby, wrestling and field hockey. He has spent time as a referee in basketball and rugby and as an umpire in softball and minor league baseball. He served as Student Life Coordinator at Beaconsfield High School.
He presently lives in Hudson with the love of his life, Lesley Bobeldijk, and his dog Euclid. Yes Euclid, the last dog was called Gauss, the one before that Pythagoras. | 677.169 | 1 |
This unit introduces the student to core mathematical concepts, processes and techniques necessary to support subsequent studies in Engineering. These concepts include, but are not limited to, the properties and engineering applications of linear, quadratic, logarithmic and exponential functions. The unit commences with linear equations and goes on to cover varied subjects including inequalities, functions, trigonometry, sequences, series, variation, ratio, proportion, algebraic functions, trigonometric ratios, trigonometric functions and applications. It rounds off with an introduction to differentiation and integration, followed by vectors, complex numbers and matrices. The topics in this unit are structured in such a manner that the student will be able to solve problems related to engineering applications by using these mathematical techniques | 677.169 | 1 |
Wednesday, August 16, 2017
According to Merriam-Webster, the word errata means "errors" in Latin, but it is used in English to mean corrigenda which in Latin means "corrections". So there you have it: errors can be corrected — student errors, teacher errors, and (ahem) curriculum developer errors.
My books, great as they are, do contain errors. Some are small errors which I should have caught myself, or which an editor should have caught, but they got past us. Some are more substantial, and undermine the usability of a lesson, or of a particular problem.
For my (free download) Geometry Labsbook, I have a section for Connections, Corrections, Extensions, and Revisions at the bottom of its home page some time ago. When I create or receive an alternate version of a particular lab, I make it available there.
For my (free download) Algebra: Themes, Tools, Concepts, I have a section for Sample Lessons. Most of them are versions of lessons from the book that I edited to make them work better. Sometimes that involved rephrasing the problems, but often it was just a matter of breaking the lesson up into smaller, more manageable chunks.
My Algebra Lab Gearbooks (published by Didax) have a number of small errors here and there. I have corrected the ones I found, and posted the corrigenda on a new errata page.
If you find an error in anything I've written, please let me know! I ought to correct the errors. If you have a way to improve a given lesson or lab, please send me your version. If I like it, I'm happy to include it on my site, and of course credit you | 677.169 | 1 |
Introductory & Intermediate Algebra for College Students
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Read More that students will actually use their learning resources to achieve success. With an expansion of the series to now include a Developmental Math "all-in-one" text (with content spanning prealgebra through intermediate algebra), and with an enhanced media program accompanying this revision, developmental students at all levels will see how math applies to their daily lives and culture. Also available with MyMathLab MyMathLab (R) Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyMathLab, search for: 0134192907 / 9780134192901 * Introductory & Intermediate Algebra for College Students Access Card Package Package consists of: 0134178149 / 9780134178141 * Introductory & Intermediate Algebra for College Students 0321431308 / 9780321431301 * MyMathLab -- Glue-in Access Card0321654064 / 9780321654069 * MyMathLab Inside Star Sticker
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Good. 0134178149 All Supplemental Materials Not Included. -used book-free tracking number with every order. book may have some writing or highlighting, or used book stickers on front or back (Hawaii, Alaska, Puerto Rico and APO's, allow additional time for delivery. )
Fair. 0134178149 | 677.169 | 1 |
Modern Algebra II
Professor: Mike O'Sullivan
Web page:
Email: mosullivan@mail.sdsu.edu
Office: GMCS #579, ext. 594-6697
Office Hours: W. 3:00-5:00 Tu Th, 5:15-6:00I'm in lots of meetings and I am traveling a bit this semester, so
some of the Wednesday office hours will be cancelled. Please feel free
to contact me by email with questions or to make an appointment.
Detailed Information
Course Description
The goal of this course is to introduce the main theorems and
standard examples in Galois theory. Along the way we will do some
more advanced group theory (Sylow theorems, composition series, group
extensions). We will focus on interesting examples of the
Galois correspondence for finite fields, number fields and functionThe course begins with an introduction to classical problems
and the link with field theory. We will then spend a few days on fundamental
properties of polynomial rings: irreducibility, derivatives, and some
related topics (including the abc conjecture).
After rings we move to more advanced group theory. We will start
with concrete constructions of groups: groups from rings, automorphism
groups, semi-direct products, group extensions, group representations.
Then we develop more theory: group actions, the Sylow theorems,
composition series, solvable groups.
At some point we return to field theory: the classification and
structure of finite fields, the standard non-separable extension,
normal and Galois extensions. We finish with Galois' theorem connecting
field extensions to automorphism groups. We apply the
theory to as many examples and classical problems as time allows.
I hope to add to these notes as the semester progresses.
I
Gallian, Contemporary Abstract Algebra.
A widely used and well written text.
Judson and Beezer, Abstract Algebra: Theory and
Applications
This is another good undergraduate algebra text.
Available free online.
See the button for "Sage and AATA."
Download "Sage Worksheet Collection." Open the zip file from the
sage notebook.
Prerequisites
I will assume that you have a solid understanding of the basics of groups, rings and
fields (SDSU's Math 627A).
The following fundamental topics play a recurring role so I
suggest that you review them during the first weeks of the semester. See
my notes for a concise presentation, see one of the texts above for
more details unique
factorization. The correspondence between linear factors of a
polynomial and roots. Congruence modulo a polynomial.
Fields: Field extensions. Adjoining a root of a polynomial.
Splitting field of a polynomial.
Grading
There will be several (6-8) homework assignments, two midterms and a
final test. For each test, I will give you a very clear idea
beforehand of the problems that will appear.
The final grade will be weighted roughly as follows.
Problem Sets
40%
Midterms
15% each
Final Exam
30%
On homework and tests, your solutions should be understandable by a
peer, so, not every detail has to be explained, provided a peer would
know how to fill in the details.
This is the art of exposition, knowing your audience and how to
succinctly communicate essentials.
You are encouraged to work together to solve problems, but you should
write the solutions individually. | 677.169 | 1 |
2017-2018 School Supply List
Welcome to the 2017-17 school year! I am excited to start a brand new year and nothing celebrates that excitement better than purchasing school supplies....in my mind anyway! :) Supplies just came out this week (7/7) and I already bought some notebooks and glue, and paper.....
I require all of my students to keep a notebook. I have become known as the "mathbooking" teacher, because I have each student create their own "Mathematician's Notebook". This will evolve as the year progresses but it is my hope and belief that it will give more meaning to their notebook. With this in mind, I am asking that each of my Honors Algebra II and Algebra II students to purchase a Quadrille Composition Notebook. (A regular composition notebook is not okay. We will graph a lot in this class. Also, a spiral graphing notebook will fall apart very easily. As I grade notebooks, you don't want this to happen!) Business Math students may purchase a regular composition notebook. Please make sure it has 100 sheets of paper/200 pages. You will use EVERY page in business math!
*Business Math students....you will just need a composition book for your notes and a 3 ring binder/folder for misc papers.
Here is a photo of Walmart's graph composition notebook: I will have these available for sale in my classroom for $1.25 each. Or buy it ahead of time at your local Walmart. Staples and Target sell them as well. (Please do not get a spiral or a non-composition notebook. They fall apart very easily!)
OPTIONAL SUPPLIES:**prices may not be accurate. I am reusing pictures from previous years. Sorry!
All of the items pictured were found at Walmart
1) A 1.5 inch 3-ring binder. A 3-ring binder will be very helpful to the students for any "extra" papers that don't go in our Mathematician's Notebook.
2) Post-it Tabs/Flags:
You can find these in the office supply section.
We will use these to highlight things in our Mathematician's Notebook. These will be the "little" things that will make a student's notebook their own....
Price varies with the type that you purchase....
3) Crayola Markers
You can find these in the front of Walmart with all of the school supplies for only $0.97!
4) Mechanical Pencils.
These were located in the front of the store. You can NEVER have enough pencils.
5) AND LASTLY......It would be nice if each student had...erasers!
Hey, everyone makes mistakes. I saw these 2 for $0.50.
We do provide calculators at school. However, the calculators must stay at school as we have a limited amount. They are very basic and do not do fractions nicely. And they are not graphing calculators. It is recommended by the College Board that students use a graphing calculator for the SAT exam. I recommend the TI-83 or TI - 84. They are usually discounted at this time of year.
This is the calculator I recommend for my classroom: TI - 30XS Multiview.
It is not necessary to purchase this calculator unless you want it for use at home and other non-class times. I just prefer this one. And I think you will too.
TI-84 Plus: $88.00. Regular price is $114. This is an excellent calculator to have for more advanced courses and college. I will not be using this calculator in class, unless the calculator fairy pays me a visit. BUT, if you decide to purchase this type of calculator I will be able to assist you in using it. I can also help you with any graphing calculator you choose. I will show how great these are during various lessons in the year though!
Please feel free to email me with any questions, concern, or comments. | 677.169 | 1 |
Introduction to graph theory
In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as ...Show synopsisIn recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson??? s book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians.The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency | 677.169 | 1 |
Calculus Foldable 4-5: Mean Value Theorems of Calculus
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Students confuse the two Mean Value Theorems - the Mean Value Theorem for Derivatives and the Mean Value Theorem for Integrals. Comparing them side by side reinforces that one deals with slope and one deals with net area, Algebra I vs Geometry. In this foldable the students list the conditions needed to apply the theorems and the symbolic theorems, discuss the geometric interpretations of the theorems, and work examples symbolically, with tabular function, and graphically.
My students encounter this concept in the Larsen Calculus textbook in Ch. 4 on Integration after they learn simple antiderivatives, definite integrals Riemann and trapezoidal sums, integration strategies and the Fundamental Theorems of Calculus thus the numbering 4-5. The examples do not involve the transcendental functions which are introduced in a later chapter in Larson Calculus.
This foldable is formatted so that it can be used alone or glued into an Interactive Notebook. Hope this is helpful. Enjoy! | 677.169 | 1 |
These notes are intended for an Algebra 2 class, reviewing solving absolute value equations and absolute value inequalities, toward the beginning of the school year. They are guided notes that include examples and opportunities for students to
These notes are intended for an Algebra 2 class, reviewing slope and graphing linear equationsAs you begin to plunge into the history of our nation's beginning in 5th grade, this is a project, designed for collaborative learning, where your students will investigate, using a variety of sources, different regional attributes of our nation's
These notes are intended for an Algebra 2 class, reviewing solving linear inequalitiesThis is a critical thinking worksheet, to help students better understand the difference between AND and OR when solving compound inequalities. They also see problems that have no solutions and infinitely many solutions. Students can work in teams
These notes are intended for an Algebra 2 class, reviewing solving linear systems of equations by graphing, toward the beginning of the school year. The notes begin with a discovery of one solution, no solution, and many solutions. There are thenHere's a great way to break free from the traditional means of the classroom by getting your students up and moving. Check out this matching activity where your students will match questions and answers to demonstrate their understanding of the
These notes are intended for an Algebra 2 class, reviewing order of operations, evaluating expressions, and combining like-terms, toward the beginning of the school year. They are guided notes that include examples and opportunities for students to | 677.169 | 1 |
Online Courses For Interior Decorating Some students may worry they may not get the full interactive experience of learning by taking classes online; however, the AODT has ensured the interior design online program is just as, if not more, interactive as the in-class method. … Interior Design (AAS) Online Courses and … Interior design and architecture studies courses develop …
If you need help in college algebra, you have come to the right place. Note that you do not have to be a student at WTAMU to use any of these online tutorials.
Learn about algebra from solving equations and sketching graphs to complex numbers and logarithms.
It might also build on the concepts of basic … to the Algebra II Practice Tests and Algebra II tutoring, you may also want to consider taking some of our Algebra II Flashcards. You can also evaluate your full range of skills by taking a teacher teaching one subject to the
Both classes and exams emphasize logic and reasoning with an overall goal of students understanding the core concepts of physics, although doing well requires basic algebra … students' experiences with online AP and IB courses.]
Aug 12, 2016 · This math video tutorial provides a basic overview of concepts covered in a typical high school algebra 1 & 2 course or a college algebra course. This …
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Carpentry Woodworking Online Schools Wesley Bevan is a High School Shop teacher in British Columbia, Canada, and the owner of Ask the WoodShop Teacher. He started woodworking when … Woodworking Classes in Texas: Sample Courses and Descriptions. Research woodworking classes in Texas, which currently has seven colleges offering programs. A rocking chair can be somewhat complex to make, but
Online Introductory Algebra is a not-for-credit college course, for college algebra prep, which prepares students to successfully complete College Algebra. Learn …
If this is something that interests you, you should definitely enrol in this online course. This self-paced course by Udacity requires a student to be knowledgeable about basic Algebra. If you're planning to establish your own business, you …
A collection of video and print resources that give students initial contact with the new material and provide training data for the formation of basic … algebra classes discussed in this paper, Guided Practice assignments were turned in …
Thankfully, there are several online … paced course isn't necessarily cheap, at $99 for two months of access. Unlike free courses, however, this is a shiny and sleek program to get those with a basic proficiency in statistics, linear algebra, … | 677.169 | 1 |
Larson IS student success. ELEMENTARY AND INTERMEDIATE ALGEBRA: ALGEBRA WITHIN REACH owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Sixth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises. | 677.169 | 1 |
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Algebra students graph linear inequalities!"
Included are 30 pennants, 2 additional pennants without inequalities (for you to write your own), an answer sheet and an answer key. The third thumbnail shows the third page of the answer key.
Each group of students can be given a set of pennants, scissors and either glue, tape or a stapler. Students can be in charge of cutting out the pennants. Groups can compete to see which group can complete the most pennants or your entire class can add pennants to one string as they complete each one. You may also choose to have your students color their pennants to add to your classroom decor.
Algebra students graph linear equations and equations and inequalities | 677.169 | 1 |
4/28 -- Junior Circle: Proofs (Eli Kirshbaum and Oleg Gleizer)
Some students will be called to the board to discuss their solutions to the problems from the second handout. Then we will learn a formal approach to proofs and use it to prove a few facts regarding medians of triangles in the Euclidean plane. Some students, as well as their parents, keep asking us to add more algebra to our classes. To cater to their needs, we will begin learning quadratic equations at the end of the session (if time permits). | 677.169 | 1 |
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Summary
Elementary and Intermediate Algebra: A Practical Approach provides concise, manageable treatment of the mathematics required for the combined algebra course. While emphasizing problem solving and the real-world applications of algebra, the text provides solid coverage of core mathematical concepts and essential symbol manipulation skills. Furthermore, the text encourages students to use graphing technology while still requiring them to master pencil-and-paper techniques for certain tasks. Authors Craine, McGowan, and Ruben combine their experience and expertise as a math educator and author, a math researcher, and an authority on math anxiety to deliver a balanced, targeted text that enables instructors to cover all the material for the combined course in one text. Pedagogically, the instructional material is concise, clear, and presentedin a style that encourages students to read all the material and complete all the exercises.Chapter openers, chapter-end explorations tied to the openers, definitions,key concepts, examples, notes, cautions, chapter summaries, and exercisesets appear in each chapter. Additional problems are available for student practice on the accompanying web site. Readable and direct, the text\'s student-friendly style uses a minimum ofmathematical jargon. Mathematical vocabulary is introduced at point-of-use, as it is needed to understand an underlying concept. Real-world applications are used to introduce each chapter and throughout the text to help students see the math in context and understand its relevance in everyday life. Examples focus on a particular concept and include complete worked-out solutions. Examples presented with multiple solution methodsalgebraic, graphical, and/or numericalhelp students with different learning styles understand solutions from various aspects. Eduspace is Houghton Mifflin\'s online learning tool. Powered by Blackboard, Eduspace is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content in multiple disciplines. The Craine/McGowan/Rubens Elementary and Intermediate Algebra course includes algorithmic exercises, test bank content in question pools, interactive tutorials and video explanations. | 677.169 | 1 |
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Teaching function notation F(x), input and output machine. Drag an input into the animated machine, and drag an output out! Have students find an equation of the output when you put "x" into the machine. The output can be found hidden in the machine (move curser over the blue gear and drag the hidden object out). the "Input" objects are also layered in certain fashion so that you can visually put something into "F(___)" (For example, drag a 2 so that it is in between the parenthesis of "F(___)"). You can also reverse the process by seeing the output first, and have students find the input algebraically. | 677.169 | 1 |
Algebra Quadratic Equations
Quadratic-O-Matic is about the simplest program imaginable to set up and to use. You simply call the program up in your web browser, type in the numbers to get your quadratic equation, and click "Solve that puppy."You will then be given the roots of the equation.If "b2 - 4ac" is negative, you'll...
Platforms: CGI and Perl
*** Featured in iTunes *** "Engineering Formulas" comes with the set of Engineering equations, Basic equations and Other Formulas equation. Each formula makes use of the user inputs to generate the result by explaining it in simple and easy step-by-step method. It has the following categories,...
Platforms: iOS
This mobile app is designed to offer a convenient and effective way to review and learn fundamental engineering mathematics. It is particularly suitable for engineers, scientists, high school and university students. This app allows you to study engineering mathematics anytime, anywhere without...
Platforms: iOS
Hooda Math Mobile has 6 cool math games, taken straight from HoodaMath.com, now available on your iPad. The best part, it is FREE. Including more math games with each update. Version 1.2 includes: Lemonade Stand, Hooda Remover, Donut Stand, Hooda Dissection, Pet Stand, Transformation Golf and 5...
Platforms: iOS
Whether you are a student just learning about them or a world renowned mathematician, proportions are a key to everyday math. Although proportions are usually easy, sometimes you don't have scratch paper or the numbers are just a pain to calculate. That's where this app comes in. Proportion...
Platforms: iOS
The Pythagorean Theorem may seem really simple. However, if the numbers are large and complicated, finding the length of a side of a right triangle may be a tough endeavor. This app was created to solve the pencil breaking and pillow punching that comes with a tough Pythagorean Theorem Problem....
Platforms: iOS
How do you measure how good a quarterback is? What statistics do you look at? That is where Quarterback Rating comes in. Just plug in some basic statistics and within seconds 3 different Quarterback Ratings and 3 different statistics show up on your screen! Most of the best quarterbacks get paid...
Platforms: iOS
GCSE Maths Quiz Features One of the best maths apps in the windows store, the GCSE Maths Quiz randomly generates questions over a range of subjects. There is a configurable setting to allow inclusion of higher paper questions too. A scientific calculator has been added added for use within the...
Platforms: Windows Phone
Mathematics value of PI using the Probability - Explore the...
Platforms: Windows | 677.169 | 1 |
14-15 Honors Algebra II Curriculum Guide
Honors Algebra 2
RECOMMENDED HONORS ALGEBRA II PACING CHART
I. Description of Course
Topics from Algebra 1 are treated with more detail and depth. In addition to these topics, the content includes a study of real and imaginary numbers, equations, inequalities, relations and functions, matrices, quadratic functions, conic sections, systems of equations and inequalities, exponents and logarithms, probability and statistics, and rational expressions. Concepts from Geometry are extended, especially the ability to write proofs, the treatment of conic sections through coordinate geometry, regions described by systems of inequalities, and probability modeled by areas of figures.
D. Every effort has been made to correlate textbook lessons to GLEs/SPIs/Checks for Understanding.
E. Please remember recommended days include time for instruction, review and assessment.
Revised June 2014
First Nine Weeks (43 Days)
Chapter 0: Preparing for Advanced Algebra ( Algebra II) 1: 2: Linear Relations and Functions3.4 Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph.
CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena.
CLE 3103.5.1 Describe, interpret, and apply quantitative data.
CLE 3103.5.2 Evaluate and critique various ways of collecting data and using information based on data published in the media.
Section 2-1: Relations and Functions
State Performance Indicators:
√ 33103.3.2 Determine the domain of a function represented in either symbolic or graphical form.
Chapter 3: Systems of1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.
CLE 3103.3.3 Analyze and apply various methods to solve equations, absolute values, inequalities, and systems of equations over complex numbers.
Section 3-1: Solving Systems of Equations by Graphing
State Performance Indicators:
SPI 3103.3.9 Graph the solution set of two or three linear or quadratic inequalities.
CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
CLE 3103.1.5 Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.
Chapter 5: Quadratic Functions and Relations (18 Days for instruction, review and assessment)
CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.
CLE 3103.2.1 Understand the hierarchy of the complex number system and relationships between the elements, properties and operations.
SPI 3103.1.3 Use technology tools to identify and describe patterns in data using non-linear and transcendental functions that approximate data as well as using those functions to solve contextual problems.
√ 33103.3.22 Determine the number and possible types of zeros for a polynomial function and find the rational roots.
√ 33103.3.2 Determine the domain of a function represented in either symbolic or graphical form.
SPI 3103.1.3 Use technology tools to identify and describe patterns in data using non-linear and transcendental functions that approximate data as well as using those functions to solve contextual problems.
SPI 3103.3.10 Identify and/or graph a variety of functions and their transformations.
√ 3103.1.8 Understand and describe the inverse relationship between exponential and logarithmic functions.
√ 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.
√ 33103.3.17 Know that the logarithm and exponential functions are inverses and use this information to solve real-world problems.
√ 33103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions. √ 33103.3.16 Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.
√ 33103.5.6 Use technology to find the appropriate regression equation for both linear and non-linear data.
√ 3103.1.4 Identify the weaknesses of calculators and other technologies in representing non-linear data, such as graphs approaching vertical asymptotes, and use alternative techniques to identify these issues and correctly solve problems.
CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition. | 677.169 | 1 |
This consultant discusses recommendations beneficial within the lifestyle of the intense Bashuser. whereas a simple wisdom of shell utilization is needed, it begins with a dialogue of shell construction blocks and customary practices. Then it provides the grep, awk and sed instruments that would later be used to create extra fascinating examples.
Vesley, and Mrs. Booth—who turned her from a being math hater into an engineer; and to Dan's math teachers—Br. Leahy, Mr. Cleary, Fr. Shea, and Mrs. Newell—you saw past him getting his head stuck in the door and put the first draft of this book in motion so many years ago.... And last but not least, thanks to Vinny and Nick—the first two projects that Dan and Tracey worked on together— who put up with a lot of "Daddy and Mommy have a call" and learned more Algebra than any preschooler or kindergartner should know.
The sales tax we figured out earlier... ed warranty. and the extend n - you had all thse ow kn un e th s wa s hi wa T n. You knew there ve other informatioJo was going to ha to some price that with that console, and pay to walk out own! that was the unkn Algebra is about solving for unknowns Algebra is about finding the missing information that you're looking for by using the information you already have. The unknown could be the cost of a car loan, the quantity of soda you need, or how high you can throw a water balloon.
Does it make sense for her to buy the subscription? 32 = x + Some unknown number of games... = 10 games... 7 games... What we really care about here is what x is—the unknown number of games. We don't really care about the seven games on the left side of the equation. In fact, we can get rid of that seven as long as we make sure we do the same thing to both sides of the equation. We're going to jump right into the equation without the sentence. If it helps, you can write it out, but just thinking about the equation in words first should be enough to help. | 677.169 | 1 |
CHAIN RULE CALCULUS PROBLEMS
Chain rule calculus problems
Algebra Problems chain rule calculus problems the math homework
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Precalculus
Precalculus Syllabus
Yes. Your transcript will come from the records office at Brandman University. They are regionally accredited and award semester credits.
Credits: 3Learning Outcomes
At the conclusion of this course, students should have:
Represent functions verbally, numerically, graphically and algebraically. Demonstrate a fundamental concept of the mathematical function and its properties such as inverse, domain, range, addition, subtraction, product, division, and composition.
Analyze the graph of a function and determine the intervals where the graph is increasing, decreasing and constant. Find the minimum and maximum values of the function and apply these concepts to applications in the physical world.
Solve a variety of systems including linear, nonlinear and inequalities using graphical and algebraic techniques. Solve real-world applications modeled by these systems.
Use the Rational Root Theorem, Fundamental Theorem of Algebra and other techniques to find the zeros of a polynomial function. Be able to factor a polynomial into linear factors over the complex numbers.
Perform operations with matrices, such as addition, subtraction, scalar multiplication and matrix multiplication, including applications with matrices. Use matrices to solve systems of linear equations including the Gauss-Jordan elimination method, and calculate the probability of an experiment.
Recognize a language description, geometric and algebraic representation, and be able to transfer from one form to the other.
State the basic trigonometric definitions and apply them to the acute angles of a right triangle.
Analyze and interpret trigonometric functions using graphs, tables and equations.
Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs.
Describe the measure of an angle in both radians and degrees, convert angles measured in degrees to radian measure and vice versa.
Demonstrate an understanding of vectors, their graphical representation and vector algebra.
Apply the Law of Sines, and the Law of Cosines in various types of applications.
Prove trigonometric identities all
email isDetermine if a graph is a function, find the domain and range and be able to perform transformations including translations, reflections, stretching and shrinking.
Perform function operations such as addition, subtraction, multiplication, division and composition. Be able to find the inverse of a function and its graph.
Find the vertex of a quadratic function, the zeros of a polynomial function, the end behavior of the graph, symmetry, intercepts, and asymptotes. Be able to sketch the graph.
Analyze the graph of a function and determine the intervals where the graph is increasing, decreasing and constant. Find the minimum and maximum values of the function and apply these concepts to applications in the physical world.
Use the Rational Zeros Theorem and the Fundamental Theorem of Algebra to find the zeros of a polynomial function. Be able to factor a polynomial into linear factors over the complex numbers.
Solve a variety of equations, including linear, polynomial, rational, radical, exponential and logarithmic. Solve a variety of linear and non-linear inequalities.
Solve systems of linear and non-linear equations graphically and algebraically by substitution and elimination. Be able to solve applications modeled by these systems.
Perform operations with matrices: addition, subtraction, scalar multiplication and matrix multiplication, including applications with matrices. Use matrices to solve systems of linear equations including the Gauss-Jordan elimination method, Cramer's Rule and using the probability of an experiment.
State the basic trigonometric definitions and apply them to the acute angles of a right triangle. Define signs of the trigonometric functions for each quadrant.
Find the values of the six trigonometric functions using the unit circle and/or one of the special triangles.
Graph trigonometric functions and their inverses.
Analyze and interpret trigonometric functions using graphs, tables and equations.
Describe the measure of an angle in both radians and degrees, convert angles measured in degrees to radian measure and vice versa.
Apply the Law of Sines and the Law of Cosines for various types of situations.
Verify and apply trigonometric identities.
Demonstrate an understanding of vectors, their graphical representation and vector algebra | 677.169 | 1 |
This worksheet allows the student to investigate and explore the transforations of quadratics using tables and graphs. The student will begin with the parent function and in each following step see a different transformation of the parabola and also
This worksheet allows the students to make connections to the real world through a fun tv show- I Love Lucy! I would reccommend showing a short clip from the show (it can easily be found on youtube) to capture the students' attention- then quickly
This is a handout that can be used as a way to introduce quadratic functions. It starts with a real world connection that the students can understand and literally see in their mind before they even graph on their paper. The teacher guides the
This worksheet uses polynomials as lengths, widths, perimeters, and areas of rectangles, thus making the student use his skills of multiplying and factoring polynomials to find the part that is asked for. The student may be given a length and a
This worksheet links solving algebraic equations with geometry. The students use the perimeter of rectangles with partially given and missing side lengths to set up an equation and solve. These problems also allow for the student to make a
This worksheet includes ten problems about finding consecutive integers given their sum. This is a great worksheet for expanding Algebra students' knowledge on equations. It starts off with fairly basic and straightforward examples and gradually | 677.169 | 1 |
supplemental text allows instructors and students to add a MatLab content to a complex variables course. This book seeks to create a bridge between functions of a complex variable and MatLab. --Read more... | 677.169 | 1 |
***Includes Practice Test Questions***Get the test prep help you need to be successful on the NYSTCE Mathematics test. The NYSTCE Mathematics (004) Test is extremely challenging and thorough test preparation is essential for success. NYSTCE Mathematics (004) Test Secrets Study Guide is the ideal prep solution for anyone who wants to pass the NYSTCE Mathematics Test. Not only does it provide a comprehensive guide to the NYSTCE Mathematics Test as a whole, it also provides practice test questions as well as detailed explanations of each answer. NYSTCE Mathematics (004) Test Secrets Study Guide includes:
A detailed overview of the NYSTCE Mathematics (004) Test
An examination of number and quantity/algebra
A guide to functions
An analysis of calculus
A breakdown of measurement and geometry
An in-depth look at statistics and probability
A full study of pedagogical content knowledge
Comprehensive practice questions with detailed answer explanations
It's filled with the critical information you'll need in order to do well on the test: the concepts, procedures, principles, and vocabulary that the New York State Education Department (NYSED) expects you to have mastered before sitting for the exam. The Number and Quantity/Algebra section covers:
Multiplying and dividing signed numbers
Properties of natural numbers
Patterns of special products
Inequalities
Hyperbola
Matrix
The Functions section covers:
Functions
Stretch, shrink, and reflection
Monotone, even, and odd functions, and discontinuities
Equal functions
Law of Sines and the Law of Cosines
Polar coordinate system
The Calculus section covers:
When limit does not exist
Implicit differentiation
Critical point and sign diagram
Properties of integrals
Sequence of partial sums
The Measurement and Geometry section covers:
Altitude, height, concurrent, and orthocenter
Plane
Acute, right, and obtuse
Arc length and sector
Area and perimeter of polygons
Volume and total surface area of various 3-d shapes
Geometric description of parabola
The Statistics and Probability section covers:
Charts and tables
Central tendency
Inferential statistics and sampling distribution
Permutations and combinations
Odds in favor or against
The Pedagogical Content Knowledge section covers:
Cognitive theorists and constructivists
Cooperative learning
Prior knowledge
Assessment tool
Formative and summative assessments
These sections are full of specific and detailed information that will be key to passing the NYSTCE Mathematics Test NYSTCE Mathematics Test. Each answer is explained in depth, in order to make the principles and reasoning behind it crystal clear. | 677.169 | 1 |
Algebraic Thinking Math Workshop (SF)
define formal and informal essayBuilding on the success and overwhelming interest generated by the spring math meetings last year, the CATDC is excited to offer a one-day workshop in Algebraic Thinking. This workshop will focus on several threads that emerged from those meetings, which include teaching Algebra in the Middle School years, building the bridge between middle and high school math learning, and exploring how our curricula can support student understanding of and fluency with algebraic concepts.
go to siteThe goals of this workshop focus on exploring the gap between students 'doing' algebra and students 'thinking algebraically'. An algebraic mindset – and the problem solving skills associated with algebraic thinking- transcend the algebra one curriculum; the foundational skills are ones students will turn to throughout their math journey, be it high school or college. Through a collaborative process, participants will leave this workshop with tangible, concrete activities and curricular insights they can build upon in their classrooms and school programs.
Facilitators
Chris Mader
Mader is the Head of the Middle School at The San Francisco School. He has taught middle and high school science at independent schools for over 20 years. He began teaching at a grade six through twelve school in Albuquerque, NM and most recently for ten years at a PK-12 school in Portland, OR. As Science Department chair at Oregon Episcopal School in Portland, he became aware of the concerns parents, students and educators have around math sequence and placement.
David Louis
go siteDavid Louis has worked as a math teacher for over 20 years in both public and private schools. He has worked at San Francisco Friends School since 2009. He loves math and enjoys engaging young people in true mathematical thinking. | 677.169 | 1 |
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This is a puzzle that was posed over 1500 years ago by a Chinese mathematician.
GCSE Maths statistics Coursework Examples Help Online
Which test are you preparing for?.
Need help wiith IB maths coursework due in tomorrow
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IB Maths SL Coursework? | Yahoo Answers
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Ib maths Help with dissertation writing studies coursework mark Essay on learning essay by malcolm x information technology pdf xchange business studies ib maths.Paradigms, as they apply to IB maths coursework, refer to the different schools of thought that have evolved as a response to the.The twin prime conjecture states that there are infinitely many consecutive primes ( eg. 5 and 7 are consecutive primes).Blog at WordPress.com. Ben Eastaugh and Chris Sternal-Johnson.
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IB Maths and GCSE Maths Resources from British International School.Revision for GCSE Mathematics and GCSE English, including Maths notes and.The narration pattern interesting captivating stories usually include specific, descriptive details to make the story descriptive essays. | 677.169 | 1 |
Often times students typically use financial calculators. However, 360training has given me the foundation to solve tough equations by hand. This is extremely more effective in learning due to its vigorous assessments of what each equation may stand for. | 677.169 | 1 |
MATHEMATICA originally created by Steven Wolfram, a product of Wolfram Research, Inc. Mathematica is available for different operating systems, such as SGI, Sun, NeXT, Mac, DOS, and Windows. This introduction to Mathematica will help you to understand its use as mathematical and programming language with numerical, symbolic and graphical calculations.
Mathematica can be used as:
A calculator for arithmetic, symbolic and algebraic calculations
A language for developing transformation rules, so that general mathematical relationships can expressed
An interactive environment for exploration of numerical, symbolic and graphical calculations
A tool for preparing input to other programs, or to process output from other programs
Getting Started
Starting Mathematica will open a fresh window or a notebook, where we do all mathematical calculations and do some graphics. Initially windows title is "untitled-1" which can be changed after saving the notebook by name as desired. Mathematica notebook with text, graphics, and Mathematica input and output
Entering Expressions
Type 1+1 in notebook and press ENTER key from keyboard. You will get answer on the next line of work area. This is called evaluating or entering the expression. Note that Mathematica places "In[1]:=" and "out[1]=" (without quotation marks) labels to 1+1 and 2 respectively. You will also see set of brackets on the right side of input and output. The inner most brackets enclose the input and output while the outer bracket (larger bracket) groups the input and output together. Each bracket contains a cell. Each time you enter or change the input you will notice that the "In" and "Out" labels will also be changed. | 677.169 | 1 |
Entrance Requirements
The Walla Walla University entrance requirement in mathematics include
two semesters each of the following courses:
algebra I,
geometry, and
algebra II.
Prior to the fall of 2002, the WWC mathematics entrance
requirement did not include algebra II. After studying success rates in our most
elementary courses, we determined that all of our students need at
least three years of
high school mathematics.
We examined high school transcripts and grades received by students in all sections of
MATH 105MATH 112, and
MATH 206
offered in between September of 1997 and June of 1999.
Because we wanted to look at a student's mastery level as well as the
number of courses taken, we calculated the number of grade points each
student had in high school mathematics courses using the following scale:
A
A-
B+
B
B-
C+
C
C-
D+
D
D-
F
4
3.7
3.3
3
2.7
2.3
2
1.7
1.3
1
0.7
0
After converting each grade to its numerical value, we found the sum of these numbers to get the
number of grade points for a student. For example, a student who earns A's in two semesters of
algebra I and B's in two semesters of geometry has 4+4+3+3=14 grade points while a student who
receives C's in these courses has 2+2+2+2=8 grade points. Eight semesters of A's yields 32
grade points.
Here is what we found for our most elementary courses, none of which has any specific prerequisites
other than the college entrance requirement.
MATH 105 - Finite Mathematics
Grade Point Interval
Percent Finishing with C- or better Grade
Less than 8
At least 8 & less than 16
At least 16 & less than 24
At least 24
38.4%
55.3%
82%
85.7%
MATH 112 - Math for Elementary Teachers
The grades in this course run slightly higher than in the other two courses. This may
be partly due to the fact that grades of C- or lower cannot apply toward certification.
The surprisingly low success number for the last group of students arises from an
unusual number of students in that category withdrawing from the course.
Grade Point Interval
Percent Finishing with C- or better Grade
Less than 8
At least 8 & less than 16
At least 16 & less than 24
At least 24
57.2%
91.8%
94.7%
85.8%
MATH 206 - Applied Statistics
Grade Point Interval
Percent Finishing with C- or better Grade
Less than 8
At least 8 & less than 16
At least 16 & less than 24
At least 24
0%
71.1%
82.6%
90.3%
After studying these data, we concluded that students need at least 16 grade points
in high school mathematics courses. Since a student with three years of high school
mathematics with grades of C will have 12 grade points, it seemed reasonable to
require three years of high school mathematics. Of course, a student with only two
years of high school mathematics with all A grades will have 16 grade points, and
such a student may wish to meet the entrance requirement by passing the
Basic Algebra/Geometry Placement Test. However, this method of meeting the entrance
requirement is risky and not recommended.
Other Colleges and Universities
The following table shows mathematics entrance requirements at various colleges
and universities as of the writing of this document. | 677.169 | 1 |
A complete A level course in mathematics. It concentrates on providing pupils with practice of problem-solving techniques. Theory is presented in the form of complete but concise reference notes which accompany numerous worked examples. Graded exercises allow pupils of a wide range of abilities to practice questions on all A level topics. The chapters are divided into sections each of which is designed to last 60-70 minutes plus an equal amount of private study time. Each chapter ends with further exercises which cover techniques met in that chapter and also those met in earlier chapters. | 677.169 | 1 |
Mikkel Bjoern, a gifted math student in Denmark is using Maple to study in a unique way –Mikkel Bjoern, a gifted math student in Denmark is using Maple to study in a unique way -According to Mikkel, Maple makes solving math problems easier and more accurate. It helps students check their work and prevents them from getting lost in complex computations. "While I'm working on a problem, I'm also recording what I'm doing, so reporting my work is very easy, unlike software that other instructors use. In many cases, students get stuck on simple mathematical errors that may skew their final answers. Maple helps students avoid this, allowing them to focus on the problem solving process."
"Maple is most useful for my science courses," says Mikkel. "It can do all the computational work for me so that I can focus on the problem I'm trying to solve. It's not that I couldn't do it myself, but Maple makes it easier and takes away the grunt work."
Maple has helped Mikkel succeed in several competitions including the Georg Mohr and A-Lympiad competitions. The Georg Mohr competition, considered the Danish Math Olympiad, consists of independent problem solving sessions. Six students are chosen to participate in the International Math Olympiad, solving complex problems. Mikkel explains that Maple helped him prepare for the competition this year. "Last year I didn't do very well, but this year I am in the top five for my first exam." Mikkel also participated in The Mathematics A-Lympiad, a competition in which Mikkel and his team mates used Maple on a real life mathematical modelling problem.
In the National Physics Competition, Mikkel solved physics problems that are at least one year more advanced than his level of study. "Maple's computational power helped us greatly in solving these advanced problems," says Mikkel.
Mikkel also uses Maple as a teaching tool when he trains primary school students. "I really enjoy teaching these students. What motivates me is that I get better at math and physics myself when I teach with Maple." Teaching allows Mikkel to help other students and further his own education in a unique, interactive way. He used to teach using pen and paper, but using software like Maple allows students to visualize complex problems, enhancing their understanding. After a year of teaching students with traditional methods, Mikkel now uses Maple to teach his students during his math and physics classes. "Maple makes learning complex concepts more fun and easier to understand," says Mikkel.
Students are spread all across Denmark, so Maple's online learning features, such as the MapleCloud, allow Mikkel to easily help more students, as he is able to add online content and assignments.
Mikkel meets his students at Talentcamp, a math program for talented students in primary school. Talentcamp is based on a philosophy that encourages students to have fun with their studies and move to more advanced levels at their own pace. Students are assigned mentors like Mikkel, who teach them during the year. "This program lets me meet and interact with like-minded students. It is also nice to be engaged with students who love math as much as I do. I got so much from Talentcamp and I want to give back."
Maple is especially useful for Danish students to learn math because of the Danish Gym package in Maple. The Gym package is an add-on for Maple containing built-in lessons that make working with Maple easier. It includes worksheets for descriptive statistics, regressions, trigonometry, determinations of reactions in 2D and 3D, statistical tests and equation solving. The package also features apps to calculate regression, triangle calculation and Chi-squared tests.
Designed to fit the Danish curriculum, Maple Gym makes teaching more streamlined by making exercises easily accessible with a single click. "Many problems are already solved in the Danish Maple Gym package, so I use that to teach the students," says Mikkel. "Maple is a really powerful tool for learning the Danish math curriculum, and the exams become much easier with Maple as a learning resource. Math with Maple is a powerful combination," says Mikkel.
With the help of Maple, Mikkel is cultivating a mathematics student community and hopes to teach them programming in the future. Mikkel plans to pursue his passion for math in university | 677.169 | 1 |
Mathematics
At Narrogin SHS we recognise that Mathematics has its own value and beauty and we aim to instill in students an appreciation of the elegance and power of mathematical reasoning. Mathematical ideas have evolved across all cultures over thousands of years, and are constantly developing. The curriculum focuses on developing increasingly sophisticated and refined mathematical understanding, fluency, logical reasoning, analytical thought and problem-solving skills. These capabilities enable students to respond to familiar and unfamiliar situations by employing mathematical strategies to make informed decisions and solve problems efficiently.
Learning mathematics creates opportunities for and enriches students with the essential mathematical skills and knowledge in Number and Algebra, Measurement and Geometry, and Statistics and Probability.
In Lower school students study the Australian Curriculum and develop mathematical literacy preparing them for tertiary study and future employment. Mathematics options are offered to all students in Year 9 and Year 10 to complement the specialist mathematics courses offered in SeniorSchool.
In Year 10, Year 11 and Year 12 Narrogin SHS offers students the opportunity to study Curriculum Council endorsed Mathematics and Specialist Mathematics courses at Stages one, two and three which contribute to the West Australian Certificate in Education (WACE) and allow students to obtain an ATAR score for university entrance. | 677.169 | 1 |
MATH 2412 spring - 207 First Day Handout for Students MATH...
207 First Day Handout for Students MATH 2412 Precalculus: Functions and Graphs Spring '12 Meets: TTh 10:55am- 12:40pm RVS A - 2212 MATH 2412 Section: 009 Synonym: 46920 Instructor: Rene Lumampao Office: A-1141.4 Phone: (512) 223-6295 Email address: [email protected]You will be able to access the lecture notes by clicking on the blackboard login link at Office Hours: MW 12:15 - 1:15 3:15 – 4:15 TTh 7:50 – 8:50 12:45-1:45 Also by appointment COURSE DESCRIPTION MATH 2412 PRECALCULUS: FUNCTIONS AND GRAPHS (4-4-0). This is a course designed to prepare students for MATH 2413 Calculus I. Content includes algebraic, logarithmic, exponential, and trigonometric functions and equations; parametric equations; and the polar coordinate system. Prerequisites: Trigonometry, MATH 1316, or an equivalent course. You should also have current algebra skills at the level ofMATH 1314 College Algebra. If you do not have current knowledge of these topics, then you should ask your instructor about course level changes. Importance of Prerequisites: This is not a review course. If you do not have current knowledge of the material in our MATH 1314 College Algebra, and MATH 1316, Trigonometry, please ask your instructor about changing to one of these course to better prepare for MATH 2412. Required Text : Functions Modeling Change: A Preparation for Calculus , by Connally, Hughes-Hallet, Gleason, et al., 4th edition. Use of Graphing Utilities: As with any course where either graphing or scientific calculators are used, the calculator will be used as a supportive tool. This course is not about calculator usage, but about precalculus concepts. We will use graphing calculators when their use enhances the understanding of a mathematical idea. Graphing calculators are not required for this course. However, as you progress through the semester you may find it convenient to purchase your own. Individual instructors may vary in how often and in what manner they utilize these types of calculators. Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Your instructor will determine the extent of calculator use in your class section. INSTRUCTIONAL METHODOLOGY This course is taught in the classroom primarily as a lecture/discussion course. Course Rationale : This course is designed to teach students the algebraic and trigonometric
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208 modeling concepts needed for scientific/engineering calculus. It is not simply a review of college algebra and trigonometry. MATH 2412, Precalculus. Learning Objectives 1. Sketch graphs and appropriate transformations for the following: polynomial functions (linear, quadratic, followed by those with degree three and higher), tri-gonometric functions, exponential and logarithmic functions, rational functions, and conic sections. 2.
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Pages
Wednesday, August 9, 2017
Teaching Proof Writing
This is my final post regarding Putting Essential Understanding of Geometry into Practice in Grades 9-12. Chapter 3 discusses student issues when it comes to proof writing. (There is a 4th chapter but I am not reviewing it.)
When it comes to teaching geometry, the most difficult part for me is teaching proof writing. For the sake of grades it can be easy to fall into the trap (as I have done) of making the proofs that students are asked to complete very similar structurally. This usually relieves some of the tension that proof-writing can cause, making some students feel more successful at it. This does not, however, guarantee that those successful students could write as good a proof for more non-routine problems.
Big Idea for this chapter: Proof is part and parcel of doing math and should be a regular and ongoing part of the learning of mathematics. Two other essential ideas:
The processes of proving include a variety of activities, such as developing conjectures, considering the general case, exploring with examples, looking for structural similarities across cases, and searching for counterexamples.
Making sense of others' arguments and determining their validity are proof-related activities.
(These are quoted from the text.)
As I've stated in prior entries in this book review, the process of inquiry and making conjectures is one of my goals for revamping my courses. The first essential idea stated above also ties this into my desire to incorporate more proof-writing experiences for my students. The whole process has a natural flow to it, but will take work because its entirely different than what I've previously done. "Tasks that create a need for proof and invite students to participate in the process of proving are not difficult for teachers to devise, though facilitating them can be challenging."
5 Purposes of Proof (I want this on a poster!)
To verify results
To explain results
To promote discovery
To communicate
To formalize
Challenges for Students when Writing Proofs:
Grasping the Process - I have many students each year that get stuck getting through step 2 in a 2-column proof.
Dependence on Visual Diagrams
Readiness for Proof - This goes back to the van Hiele level of my students.
Ways to Overcome these Challenges:
Increase focus on conditional statements. (The book suggests a greater emphasis on converse, inverse, etc. We only cover conditionals, converses, and biconditionals.)
Allow more time to practice finding counterexamples. Build the understanding that one counterexample is sufficient.
Use a variety of proof-writing techniques: visual, algebraic, transformational, written (2-column, flow, paragraph)
Stress to students to trust markings in diagrams, not just what appears to be true. (This is already something I stress in class.)
Here's the general process I will try to incorporate more frequently:
Investigate/Inquire (notice and wonder, teacher led discussion or activity)
Make Conjectures (Teacher and students will refine statements to be concise, precise.)
Validate results. (Prove conjectures or find counterexamples.)
Reflect (Discuss the proof quality. Discuss alternate proof methods. Discuss if the proof could be made more precise. Have students reflect on what they learned via the process.) | 677.169 | 1 |
Module Descriptor School of Computer Science and Statistics
When students have successfully completed this module they should be able to:
Produce coherent, convincing mathematical arguments that are precise in terms of both technical description and computation
Assimilate complex mathematical ideas and arguments.
Derive, formulate and apply solutions for linear systems
Recognise and employ the main ideas and techniques of basic calculus
Create mathematical proofs using formal symbol manipulation
Articulate the logic behind formal proofs
Construct rigorous proofs in discrete mathematics and logic
Learning Aims
The module aims to provide students with an introduction to the mathematics, both continuous and discrete, which lies at the foundation of many real-world applications in Computer Science, Engineering and the Social Sciences. Mathematics is of interest to computer scientists due to the fact that it is both practical and theoretical in nature. Not only does it have a myriad of applications (e.g. in wireless communications and computer graphics), it is also of intrinsic interest to theoretical computer scientists. The mathematical techniques learned as part of this module have wider applications in areas as diverse as Business (e.g. for modelling volatility and risk), Economics and Engineering (e.g. for structural monitoring). This module aims to develop the students' skills and abilities in the mathematical methods necessary for solving practical problems. In the first semester students will encounter some of the key mathematical structures at the heart of computer science including the representation of data using matrices. They will gain a greater appreciation of the relationships between calculus and the graphs of functions, including the representation of functions using Taylor Series. During Semester 2 students will be introduced to discrete mathematics and mathematical logic along with their applications to computer science. In particular, the module will introduce set operations, discrete maths functions in Number Theory and Logic calculation. This part of the module is influenced by the approaches of Backhouse, Dijkstra and Gries.
One of the key objectives for this module is to introduce students to the learning styles needed for university level mathematics. Students will be encouraged to develop the independent, reflective learning skills needed for success at University level. It is expected that students will adapt their learning style to become more independent, self-motivated learners.
Module Content
Specific topics addressed in this module include:
Linear algebra
Calculus and its applications
Set Theory
Logic
Number Theory
Recommended Reading List
The is no set module text, the following books are suggested reading material for students: | 677.169 | 1 |
Study Guide for First Exam
Students are responsible for material in Chapters 1-4 of the text, including
questions in the back of each chapter, along with the Maple worksheets and
materials for Lectures 1-8. You should be able to do simple proofs using
induction related to the number theory concepts and algorithms that were presented.
The exam will not include nor use Maple and will be closed book, though you may
bring one sheet of notes and a calculator.
There will be four problems (problems may have multiple parts). Problems will
include a mix of computation, algorithms, and proof. Possible problems
include. | 677.169 | 1 |
Examining early algebraic thinking: insights from empirical data
Abstract
The aim of this study is to better understand the notion of early algebraic thinking by describing differences in grade 4–7 students' thinking about basic algebraic concepts. To achieve this goal, one test that involved generalized arithmetic, functional thinking, and modeling tasks, was administered to 684 students from these grades. Quantitative analysis of the data yielded four distinct groups of students demonstrating a wide range of performance in these tasks. Qualitative analysis of students' solutions provided further insight into their understanding of basic algebraic concepts, and the nature of the processes and forms of reasoning they utilized. The results showed that students in each group were able to solve different number and types of tasks, using different strategies. Results also indicated that students from all grades were present in each group. These findings suggest the presence of a consistent trend in the difficulty level across early algebraic tasks which may support the existence of a specific developmental trend from more intuitive types of early algebraic thinking to more sophisticated ones.
Carraher, D. W., & Schliemann, A. D. (2007). Early algebra and algebraic reasoning. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (Vol. II, pp. 669–705). Charlotte: Information Age Publishing.Google Scholar
Kieran, C. (2007). Research on the learning and teaching of algebra. In A. Gutiérrez & P. Boero (Eds.), Handbook of research on the psychology of mathematics education (pp. 11–50). Rotterdam: Sense.Google Scholar | 677.169 | 1 |
The BrainTrax System is
composed of multiple parts. The current model uses two areas of the browser.
The top half of the browser houses the "Brain", which allows users
to navigate to dfferent areas of the BrainTrax
System. The bottom half of the browser displays content associated with the
Brain. The best way to understand how this navigation works is to actually go
ahead and try it.
To enter a Math Brain,
simply click on "Algebra", "Trigonometry", "Calculus
I", or "Calculus II" located at the top of the page. This will
open a new window and load the relevant Brain. The center of the Brain (top
half) is where you are currently located in the Brain. To move to another
section, click on a "parent thought", which is located above the
central thought, or click on a child thought, which is located below the
central thought. This will cause the Brain to mutate so that the thought you
clicked on becomes the central thought. Simultaneously, a new page will be
loaded into the bottom half of the window.
For those who wish to know
more about the Brain technology, we urge them to visit our FAQ sheet.
For the time being,
BrainTrax only supports mathematics, and only in the areas of Algebra,
Trigonometry, and Calculus.
The Algebra Brain is by
far the most developed. It was designed with the idea that it should be
accessible to anyone, no matter their current level of understanding of
Algebra. With that in mind, it has been divided into three instruction
levels: Basic, Intermediate, and Advanced. Basic level corresponds to 7th-8th
grade algebra, while Intermediate corresponds to 10th-11th grade algebra, and
Advanced is the collegiate level of instruction expected here at the University of Missouri - Rolla.
The Trigonometry Brain
is very similar to the Algebra Brain, but lacks some of the features found in
the Algebra Brain, such as the Goal / Terms / Mathtrax
buttons.Trigonometry also does not
have the remediation available in the Algebra Brain. Trigonometry covers the concepts of sine,
cosine, and tangent (the basic trigonometric functions).It also includes a rudimentary introduction
to polar and parametric graphs.
Calculus is divided into
first semester (Calculus I) and second semester (Calculus II). Calculus I
introduces limits, differentiation, and integration. Calculus II develops
numerous methods of integration as well as the importance of sequences and
series.
In addition to the
Brains, the BrainTrax System includes an Interactive Example and Testing
System (IETS) which is still in the experimental stage. Currently it is only
available inside the Algebra Brain, but the IETS has the potential to be
implemented anywhere on the web and for any subject (not just math). | 677.169 | 1 |
Oswaal CBSE Laboratory Manual For Class 8 Mathematics
"1- Strictly as per the latest CBSE and NCERT guidelines.
2- Includes Activities/Experiments specified in NCERT textbooks.
3- Brief description of each Activity/Experiment given as 'Theoretical Concepts'.
4- Group Activities & Projects to facilitate collective efforts and extension of learning to real life situations.
5- Extra Practice Questions given after each activity as 'Viva Voce'." | 677.169 | 1 |
In addition to the 101 lectures everyone has recommended thus far, I suggest learning to use the search function in the forums. It will save you a lot of headaches and let's say less than complimentary comments from others.
In addition to the 101 lectures everyone has recommended thus far, I suggest learning to use the search function in the forums. It will save you a lot of headaches and let's say less than complimentary comments from others. | 677.169 | 1 |
Improper Integrals
This Improper Integrals lesson plan also includes:
Twelfth graders investigate the limitations of the Fundamental Theorem of Calculus. In this calculus lesson plan, 12th graders explore when one can and cannot use the Fundamental Theorem of Calculus and explore the definition of an improper integral. | 677.169 | 1 |
There has never been a Binary Digit Guide like this. It contains 122 answers, much more than you can imagine; comprehensive answers and extensive details and references, with insights that have never before been offered in print. Get the information you ne..
After the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appe..
The nature and function of such binary oppositions have long intrigued scholars in such fields as philosophy, linguistics, classics, and anthropology. From the opening chapters of Genesis, in which God separates day from night, and Adam and Eve partake of ..
Its one of the most important
topics in General Relativity and its application to astrophysics.
We focus attention on two aspects of equations of motion in general relativity: the motion of extended bodies (stars) and the motion of small black holes. Our ..
The book can be used for a one- or two-semester course on Linux or Unix. It is complete with review sections, problems, definitions, concepts, and relevant introductory material, such as binary and Boolean logic, OS kernels, and the role of the CPU and mem..
For game development, the way data is managed, stored, and manipulated is critical to a games performance effectiveness and efficiency. So to be successful as a game programmer, you have to know how to create data structures and write algorithms for maximu..
It integrates practice problems and examples directly into its explanations of math concepts and eliminates the need to labor through theoretical derivations and formal proofs. With new, step-by-step examples and applications problems drawn directly from a.. | 677.169 | 1 |
More from Complex Networks
The Graphing Calculator Method
This may be the oldest high-tech cheating method. This tip is primarily for cheating on some sort of math or science exam where equations and theorem are needed. As you know, graphing calculators are able to store equations and other information for later use. You can use this function, of course, to store data that you need to pass your test. Here's how you do it.
Press Program, select "New", then press "Enter"
Name the new program whatever you want. The keys will automatically be in alpha mode.
Type in your formulas
To read the notes/programs, go to "Edit" and select the appropriate one.
Most teachers will walk around and erase the memory from your calculator to avoid this sort of thing. However, if you press the "2nd" key, then the "+" key (it's the memory button), then go to "All," you'll your note/program. Once you find them, hit "Enter". An asterisk will appear next to it. This means it's safe. After the teacher erases your memory, go back to that menu and viola | 677.169 | 1 |
Math and Logic Online Courses for University of Iowa Students
This course covers mathematical topics in trigonometry. Trigonometry is the study of triangle angles and lengths, but trigonometric functions have far reaching applications beyond simple studies of... more
We live in a world of numbers. You see them every day: on clocks, in the stock market, in sports, and all over the news. Algebra is all about figuring out the numbers you don't see. You might know... more
This course is part of Global Freshman Academy (GFA), which means you can earn transferable ASU credit toward your college degree. In this college-level Precalculus course, you will prepare for... more
This is a master course given in Moscow at the Laboratory of Algebraic Geometry of the National Research University Higher School of Economics by Valery Gritsenko, a professor of University Lille... more
More than 2000 years ago, long before rockets were launched into orbit or explorers sailed around the globe, a Greek mathematician measured the size of the Earth using nothing more than a few facts... more
This course provides an introduction to complex analysis which is the theory of complex functions of a complex variable. We will start by introducing the complex plane, along with the algebra and... more
This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to help prepare students to enroll for a first semester course in single variable... more
Evaluate risk and reward, assess alternatives, and determine the value of a project or company. This Specialization provides a rigorous introduction to core topics in financial valuation, including... more
Created specifically for those who are new to the study of probability, or for those who are seeking an approachable review of core concepts prior to enrolling in a college-level statistics course,... more
Discrete Math is needed to see mathematical structures in the object you work with, and understand their properties. This ability is important for software engineers, data scientists, security and... more
Quantum Mechanics for Everyone is a four-week long MOOC that teaches the basic ideas of quantum mechanics with a method that requires no complicated math beyond taking square roots (and you can use | 677.169 | 1 |
Algebra I Summer Booster Course
The Algebra I Summer Booster Course will give students an exposure to the first 6-9 weeks of essential concepts that they will cover in high school Algebra I. The course will also review critical concepts from eight-grade math. The Algebra I Summer Booster Course will meet for 16 hours in two-hour incremental sessions so that students have time to practice the skills they have learned in class between sessions. All books and materials are included in the course fee.
Registration Options
Students and parents have two options to register for the Algebra I Summer Booster Course.
$99/month (Best Value!)
Registration Form for the Algebra I Summer Booster Course | 677.169 | 1 |
Be it Step by Step explanation for an equation or graphical representation, you get it all. I just love to use this due to the flexibility it provides while studying. Lisa Schuster, NY
My daughters math teacher recommended a program called Algebra Helper to help her with her algebra homework. I wish this program was around when I was in college! Jessie James, AK
I originally bought Algebra Helper for my wife because she was struggling with her algebra homework. Now only did it help with each problem, it also explained the steps for each. Now my wife uses the program to check her answers. Bronson Thompson, CA
My parents are really happy. I brought home my first A in math yesterday and I know I couldnt have done it without the Algebra Helper14:
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distributive property for a negative monomial times a trinomial with different signs | 677.169 | 1 |
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Thursday, August 21, 2014
Many learners may concur that algebra consumes most of their preparation time however, when assessments are usually about the spot, it is the subject many people experience they're the least ready regarding. Learning algebra requires time as well as steady effort and many importantly, learners should be obvious with the principles they're learning. Memorizing formulas as well as equations will work only if you understand just how as well as where you can make use of them. Algebra is definitely an essential portion of numbers as well as studying it carefully can make passing secondary school numbers simpler as well as assist you rating very well on your SEATED or even WORK.
Even though school room lessons deal with the many subject areas that learners need to learn, the actual class may go too rapidly regarding learners to recognize the actual principles fully. Algebra principles are essential if learners are usually to accomplish very well regarding the rest of the training and so sacrificing on a tad could cause learners dropping driving with algebra. Every day practice is the easiest method to keep up with instruction and as well learn properly. Doing exercises issues aids learners memorize equations as well as learn where you can work with every system. There are a few methods learners can figure on algebra by themselves, to raise their levels.
Give consideration as well as consider records. Since apparent seeing that this specific sounds, a lot of learners let down with class because of their incapacity that you follow the actual lesson or even from large apathy. Using records assists you keep centered with class as well as you have a guide for the subject areas you need to examine for the assessment. Reserve a set time and energy to examine nightly. This specific doesn't need for being about three . 5 time to be powerful. In truth, once you examine each day, you are able to find the money for to invest less time since you have less to pay for. You will probably end up being greater ready regarding class checks as well as tasks, if they come along.
Now let's say you could have accomplished all of this as well as algebra nonetheless continues to be a new unknown? Look at buying a great algebra coach to help you learn greater. Well-timed aid will go far with making a great starting within the subject as well as utilizing a new coach makes sure that you receive the actual assist you need to have, when you need it. Online algebra tutoring provides rapid as well as effortless tutoring using great helpers on reasonably priced costs. Learners are usually unengaged to produce his or her examine agendas as well as pick the teachers they demand. In addition to the digital, one-on-one classes learners may entry a new stockpile associated with practice material, engage in algebra online games, consider quizzes as well as organize assessments while using assessment ready function. Algebra tutoring is the easiest method to give learners the actual aid needed for them to rating great levels.
1 comments:
Finding a tutor can be easy by looking online. There are many resources available for both parents and students alike to find a great local tutor online. Just one hour per week with a tutor can greatly improve your child's grades. Local tutors even start as low as $20 per hour. Why not send a message to a local tutor now? Commercial collections | 677.169 | 1 |
This course is for high school seniors who will take calculus in the fall and for graduates who will take their first calculus class as college freshmen. As everyone knows, calculus can be a demanding and difficult course, even for very strong math students. Many high school seniors who have always gotten good grades in math find calculus to be their first truly challenging math course. By September or October, some will receive their first low math grades. For high school graduates, this inherent difficulty of calculus is often exacerbated by the fact that freshmen calculus courses are often very large classes in which students receive little if any individual attention. And the smaller review sessions are usually taught by graduate students who, despite their knowledge of calculus, are not always adept at communicating that knowledge.
When the proper approach is taken, calculus is not really that difficult. It follows logically from advanced algebra. This course will prepare students for calculus by emphasizing the many connections between the unfamiliar concepts they will study in calculus and the familiar counterparts to those concepts from algebra, geometry, and trigonometry. The abstract principles of calculus can be easily learned when they are made concrete—this course brings calculus down to earth. I'm confident that students who take the course will find calculus less stressful and more enjoyable. They will avoid hitting the calculus wall in September.
Students will work through two of Mark Ryan's books, Calculus for Dummies, 2nd Edition and Calculus Workbook for Dummies, 2nd Edition. The books will be provided to students free of charge. (Click on "Mark Ryan" above or below to read descriptions of Mark Ryan's books.)
Course Fee:
Full Price: $625 Early Mondays and Wednesdays from 6:45 PM to 8:45 PM, beginning June 18 and ending July 6 The last class will meet on Friday, July 6 instead of Wednesday, July 4. | 677.169 | 1 |
MATHEMATICS
The numbers behind a tablet or a beautiful painting
iPads, smart phones, the internet, but also social interactions, the proportions of a painting,
evolutionary processes, computer games, Facebook and many more all have the same root: mathematics, a very complex art of understanding how our world works with pure thinking and logic.
We will cover the basics of mathematics and link it to every day life. Some of our topics: The meaning of the world "chaos": its impact on the weather and on the stock exchange, calculating the human body and economic systems with fractal dimensions, the role of mathematics in computer games, using mathematics skills to work on Big Data, Cyber Security and IT
Our course features interactive quizzes and games with visualizations. Teachers and students can use
them in the classroom or at home. | 677.169 | 1 |
introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal. less
In the press
'I found this book interesting since many institutions, like mine, are looking into ways of adding a mathematical modeling component into the undergraduate curriculum for general biology students. This book will be a great asset to these institutions … Overall, this is a very interesting and challenging book for undergraduate students with a strong interest in biology, but not necessarily with a calculus background. Students with a strong mathematical background will also benefit from this book … This book is also a good reference book for biologists who are interested in learning mathematical modeling or integrating it into teaching their undergraduate biology courses.' Mei Zhu, Pacific Lutheran University | 677.169 | 1 |
Policy statement for SM462, Algebraic Structures, Spring 2015-2016
Homework
There are daily homework, the previous week's homework is due the following Wednesday. Late homework is not accepted without an excuse.
Quizzes
There will be four quizzes (dates are in the syllabus) and a final exam. These will be open notes.
Software
On the first day of classes please do the following.
Access the following site, and get an account on the free program Sagemath.
Factor the year of your graduation in Sage as your first
assignment.
Using Sage will make the homework a lot easier and our
cryptology calculations less trivial and more interesting.
Also, computers are an essental component to applications of modern,
such as algebraic coding theory and cryptography. | 677.169 | 1 |
Problem Solving Syllabus
Qualitative Mathematical Analysis (also known as Problem Solving) is a course for upper classmen who are serious about developing skills in problem solving, critical thinking, written communication and oral communication. If you approach this course seriously, you will grow a great deal in these areas and have a good time doing it. The Problem Solving Course reflects the belief that the Belchertown High School educational community fosters academic excellence and responsible citizenship in a positive, safe and respectful environment in order to develop productive contributors to society. Algebra II is a pre-requisite. It is a half year course (2 1/2 – graduation credits)
Problem Solving students are expected to:
Read mathematical problems actively and critically.
Write effective solutions to problems and projects
Present solutions to problems effectively
Use a variety of appropriate resources including the computer and calculator to solve mathematical problems
This page will contain a course specific section on which I hope to put all homework assignments, projects, a copy of the course syllabus and links that will be helpful and interesting to you. Be sure to visit this page regularly. Email can be sent to me at sberetsky@belchertown.org.
You are expected to bring the following materials to class every day:
Notebook (discussed in detail below)
– A binder with sections is recommended
– Lined paper
– Graph paper
Ruler – scaled in centimeters
Pens, pencils and erasers
Textbook – covered – at all times
A Calculator – Scientific or Graphing
General Classroom Behavior
You are expected to respect and value yourself, your school environment and the diversity of the BHS community.
You are expected to contribute to classes and work cooperatively whenever the situation requires.
You are expected to come to class prepared and you are responsible for all missing work
You are expected to use pencil and show work for all mathematics on homework, class work, projects, tests and quizzes
You are to be in your assigned seat when the bell rings. Otherwise you are late which may result in a detention.
You are expected not to talk while I am speaking or interrupt while other people are speaking.
There will be no getting out of your seat or speaking without permission. If you want to speak or get of your seat during class, raise your hand and wait to be recognized.
There will be no leaving the room except for emergencies, which should not occur often.
If you need to leave the room, just take the pass and leave as quietly as possible.
Books should be covered at all times. If you lose your book, report it to me immediately.
The bell does not dismiss the class.
No eating or drinking in the classroom.
The Pass is to be used only in an emergency
Quarter Grading Policy
Your grade comes from point values assigned to tests, homework, cooperative group activities and Internet projects. Quarter grades will be calculated by dividing the total number of points that you have earned by the maximum number of points that you could have earned and calculating a percent. For example if you earned 600 points out of a possible 800 points, then you get 600/800 = 75%.
All materials should be neat and dated and each section of your notebook should be in chronological order.
Reading
Reading is required. Reading is an extremely important component of this course and will help you to learn the basic material you need to have a useful understanding of problem solving techniques. There will often be reading assignments for homework, which you are required to complete. Homework assignments, some quizzes and journal entries will be based on the reading.
Cooperative Group Activities
Cooperative group work will be encouraged and take place often. Students will be part of a four or five person groups. Group members will change often. Cooperative activities will begin in class, but will often require work outside of the classroom in order to be completed. There will be cooperative work almost every day of class. Your participation in these activities will be observed and count for 10% of your grade. In addition your cooperative work will help you with graded problem sets and homework. You must use a pencil to receive full credit.
Grading of Problem Solutions
All problems that are graded, whether they on a graded problem set, quiz, or final examination will be graded on the following criteria:
Understanding the Problem
Choosing a Solution Strategy
Implementing the Strategy
Getting the Answer
Explaining your Solution
(A complete assessment rubric will be given to you in a few weeks.) You must use a pencil to receive full credit. It is important for you to show all work and use words in all of your solutions!
Graded Problem Sets
Most of the credit in this class will come from graded problem sets. These sets will be assigned weekly, beginning the third week of class. There will be about 12-14 sets. They are referred in your book as Problem Set B – They generally consist on 5 problems and are worth 50 points (each problem is worth 10 points and is graded according to the criteria outlined above.) You will be given about a week to submit your solutions. This will always include one class session in which you and your group will work on these problems together.
Quizzes
Half period / about 2 per quarter / Initially tests will be about reading, after that they will be on the current problem solving strategy. Quizzes will have a maximum score of 50 points each. You must use a pencil to receive full credit.
Homework
Homework assignments (posted on my homepage) will be given often and will often be graded. Homework will consist of reading assignments and problems sets and journal entries. Maximum grades will be 5 or 10 points. A maximum grade indicates that you attempted all problems (work shown) and got most of them correct. 0 indicates you did not do your assignment, missed an assignment and did make it up, or made very little attempt. Homework may be turned in one day late at reduced credit. You must use a pencil to receive full credit.
Oral Presentations
Each Day, students will be selected to present solutions to homework or group work projects. You will be asked to do about 10 to 15 brief presentations during the semester. Don't worry about extra preparation for these presentations; just do your assigned work. Think of them as being asked to do a homework problem on the board. Presentations are worth 10 points each.
Journal Entries
Throughout the semester you will be asked to reflect upon what you have learned or what you are working on in this class. These entries are open-ended and give me a chance to have a dialog with you during the semester. They are generally worth 5-10 points each and are usually assigned for homework.
Final Exam or Project
There will be a Final Exam or Final Project due. The class will decide at the start of the third quarter, exactly which option to choose. If a final exam is chosen it will consist of Problems, similar to ones you have done throughout the semester.
Make-up Work
If you miss a test, a project, a group activity or a homework assignment (posted on my homepage) for any reason, you are expected to make it up. Generally, you will be given up to one week from the day you return to make up that assignment. For example, if you are out of school on Monday and return on Tuesday, you have until the following Tuesday to make up your work. Incomplete work, for any reason, will count as a 0. Quizzes may be made up, before school, after school or during my study periods.
Extra Help
If you are having trouble with any material, you are expected to seek extra help from me. I will be available after school in room B-230 from Monday to Thursday and before school by appointment on any school day. | 677.169 | 1 |
the fundamental theorem of algebra undergraduate texts in mathematics
Download Book The Fundamental Theorem Of Algebra Undergraduate Texts In Mathematics in PDF format. You can Read Online The Fundamental Theorem Of Algebra Undergraduate Texts In Mathematics here in PDF, EPUB, Mobi or Docx formats.
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.
This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17-gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapterAt its core, this concise textbook presents standard material for a first course in complex analysis at the advanced undergraduate level. This distinctive text will prove most rewarding for students who have a genuine passion for mathematics as well as certain mathematical maturity. Primarily aimed at undergraduates with working knowledge of real analysis and metric spaces, this book can also be used to instruct a graduate course. The text uses a conversational style with topics purposefully apportioned into 21 lectures, providing a suitable format for either independent study or lecture-based teaching. Instructors are invited to rearrange the order of topics according to their own vision. A clear and rigorous exposition is supported by engaging examples and exercises unique to each lecture; a large number of exercises contain useful calculation problems. Hints are given for a selection of the more difficult exercises. This text furnishes the reader with a means of learning complex analysis as well as a subtle introduction to careful mathematical reasoning. To guarantee a student's progression, more advanced topics are spread out over several lectures. This text is based on a one-semester (12 week) undergraduate course in complex analysis that the author has taught at the Australian National University for over twenty years. Most of the principal facts are deduced from Cauchy's Independence of Homotopy Theorem allowing us to obtain a clean derivation of Cauchy's Integral Theorem and Cauchy's Integral Formula. Setting the tone for the entire book, the material begins with a proof of the Fundamental Theorem of Algebra to demonstrate the power of complex numbers and concludes with a proof of another major milestone, the Riemann Mapping Theorem, which is rarely part of a one-semester undergraduate course.
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, giving shape to a subject whose development dominated the twentieth century. The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time.The It is also a good choice for a capstone course, senior seminar, or independent study.
This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.
This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book. | 677.169 | 1 |
Magbook as the name suggests offers unique advantage of both magazines and books in a single place. Same is the uniqueness of the Magbook Series by Arihant which covers the syllabus of Basic Numeracy section asked in UPSC (CSAT) and State PSCs and other competitive exams. The present Magbook for Basic Numeracy covers all possible Types of Basic Numeracy questions generally asked in various competitive examinations. This book providing extensive coverage of Basic Numeracy has been divided into 20 chapters namely Number System, Fraction, Algebra, LCM & HCF, Average, Percentage, Order of Magnitude, Profit, Loss & Discount, Ratio, Proportion, Partnership & Mixture, Time & Work, Time, Speed & Distance, Simple & Compound Interest, Permutation & Combination, Probability, Sets & Venn Diagram, Area & Perimeter, Surface Area & Volume of Solid Figures, Sequence & Series, Plane Geometry and Statistics. The book also ensures coverage of all questions asked in the previous years' papers. Each section also contains practice exercises to ensure that the aspirants know the various types of Basic Numeracy questions which may be expected in CSAT examination. At the end three practice sets designed exactly on the basis of the examination pattern have also been provided for thorough practice of the various types of Basic Numeracy questions. Also CSAT Archive section has been provided at the end to help aspirants get an insight into the types of Basic Numeracy questions asked in the examination. As the book contains ample study as well as practice material for Basic Numeracy along with ample number of previous years' solved questions, it is highly recommended for the aspirants of UPSC (CSAT), State PSCs and other competitive | 677.169 | 1 |
The Mathematics That Every Secondary School Math Teacher Needs to Know
by
Alan Sultan
Publisher:
Routledge
Print ISBN:
9781138228603, 1138228605
eText ISBN:
9781315391885, 1315391880
Edition:
2nd
Copyright year:
2018
The Mathematics That Every Secondary School Math Teacher Needs to Know 2nd Edition by Alan Sultan and Publisher Routledge. Save up to 80% by choosing the eTextbook option for ISBN: 9781315391885, 1315391880. The print version of this textbook is ISBN: 9781138228603, 1138228605. | 677.169 | 1 |
Doing other activities and coming back to an unfinished problem might be considered an example of incubation, which is the process by which the mind goes about solving a problem subconsciously and automatically, and which happens best when one takes a break from creative work (Krashen, 2001). While there are many reports of experiments on incubation in the psychology literature (Sio & Ormerod, 2009), they typically allow only a short time for incubation. However, both mathematicians stated that when they received the notes, they immediately glanced at them to estimate how long the proofs might take, but both started proving the next day. It is difficult to know whether there was an incubation effect due to actually commencing their proving the next day. How can we gain information on when and how 15TH Annual Conference on Research in Undergraduate Mathematics Education 533 incubation is used in mathematics? Is it important to let students know about incubation? How can we collect all actions that mathematicians use to recover from impasses? Also, can we encourage students to take some of these actions to recover from impasses?
References Burton, L. (1999). The practices of mathematicians: What do they tell us about coming to know mathematics? Educational Studies in Mathematics, 37, 121-143.
15TH Annual Conference on Research in Undergraduate Mathematics Education 535 First Semester Calculus Students' Understanding of the Intermediate Value Theorem
–  –  –
In our calculus courses, we often see students perform poorly on problems involving the Intermediate Value Theorem (IVT), despite being a fairly basic concept. Thus, we designed a study to analyze students' conceptual understanding of the IVT and their ability to express the theorem in their own words. Two groups of students were video-taped while working on an activity designed to guide their construction of an initial understanding of the IVT, and fifty-four students were later asked to state the IVT in their own words. Both video data and student responses on the written work were analyzed to identify common themes. It was found that even though students were able to understand the concepts behind the Intermediate Value Theorem, they were unable to correctly describe the IVT in their own words, largely due to confusing the independent and dependent variables and issues with the if/then structure in a theorem.
Keywords: Calculus, Intermediate Value Theorem, mathematical language
The Intermediate Value Theorem (IVT) is typically the first theorem introduced in a firstsemester calculus course, and quite possibly the first formal mathematical theorem that many students encounter. In Stewart's Essential Calculus, this theorem is introduced in Section 1.5, which discusses an informal notion of continuity. Recall that the IVT states that if a function f is continuous on the closed interval [a,b] and N is any number between f(a) and f(b), where f(a) ≠ f(b), then there exists a number c in (a,b) such that f(c) = N. (See Figure 1.) y
–  –  –
While much research has been conducted on student understanding of some fundamental mathematical concepts and theorems, very little work has been done to investigate student
understanding of the IVT. For this study, we have identified 3 aspects of understanding the IVT:
a conceptual understanding, the ability to state the hypotheses and conclusion of the theorem correctly (written language), and the ability to apply the theorem to a problem (finding zeroes, etc.). This preliminary report focuses on the first two aspects of IVT understanding. From prior teaching experiences, we have seen that students may appear to have a conceptual understanding of the Intermediate Value Theorem but are still unable to apply or express this idea when necessary. In this study we specifically investigate whether or not students are able to 536 15TH Annual Conference on Research in Undergraduate Mathematics Education conceptualize the meaning of the IVT and whether or not they are able to express the IVT in written form.
Literature Review In an exploratory study, Monk (1992) found that students conceptualized functional situations in two distinct ways, termed point-wise and across-time, and that if the manner in which they conceptualized function did not meet the demands of a given task, student difficulties arose. We found this to be very similar to the ways in which our students initially interpreted the Intermediate Value Theorem. Instead of determining if a y-value of N existed on the entire function, the students focused on one particular x-value, and evaluated if that input produced an output of N. Carlson (1998) found that even mathematically talented students still have misconceptions about functions, specifically with respect to the language of functions.
Another fundamental mathematical concept that relates to the Intermediate Value Theorem is that of limits and the struggles students have in understanding them. Cottrill et al.
(1996) provide a genetic decomposition of the limit concept and posit that a more complete development of a dynamic view of this concept will promote a better understanding in students.
Oehrtman (2009) describes various metaphors students use when understanding and describing the concept of limit, and he advocates for promoting an approximation metaphor when teaching students, since it is easy for students to understand and also closely aligned with formal mathematics. On the other hand, Williams (1991) found that students held fast to their models for understanding limit and were "extremely resistant to change" (Williams, 1991, p. 219). This emphasizes the need to be careful and deliberate about the ways in which we first introduce these ideas to our students.
Researchers have also investigated how students understand theorems such as the Extreme Value Theorem and Rolle's Theorem. Abramovitz et al.(2007, 2009) developed a process for learning theorems (the self-learning method) to help students better understand the hypotheses and conclusions of the Mean Value Theorem and Rolle's Theorem. Much work has also been done on students' ability to prove theorems, but our work does not address proving the IVT, only understanding the statement.
Theoretical Perspective Piaget's structuralism (1970, 1975) is used as the theoretical perspective throughout this study. Structuralism is a type of constructivism wherein it is believed that students construct an understanding of mathematical concepts not at free will, but within certain constraints. In this particular study, students worked in groups on an activity that guided them to construct an understanding of the hypothesis and conclusion of the Intermediate Value Theorem.
Methods/Subjects Participants in the study were first-semester calculus students at a large, public, research university. Two sections of students participated, both of which were taught by one author. In each class, a group of four students was videotaped while working on the activity mentioned above. This activity was given before the instructor formally introduced the IVT to the class.
Students were asked to draw a series of functions which satisfied some of the conditions given in the IVT. Two class periods after completing the activity, all students (n = 54) were given a pop quiz which asked students to state the Intermediate Value Theorem in their own words. Written responses were collected and analyzed using Corbin and Strauss' (2008) open and axial coding.
As mentioned earlier, we examined two aspects of student understanding of the IVT:
conceptual understanding and the ability to state the hypotheses and conclusion correctly (written, language). At this point, we have not, yet, studied students' ability to apply the theorem to a problem (finding zeroes, etc.), but will do so in a future study. Analysis of the video tapes shows that students in this study do, in fact, understand the concept of the IVT, although they have significant difficulty with formal mathematical language.
In the first question on the in-class activity, students were asked to sketch the graph of a function such that f (c) 13 does not exist. Seven of the eight students sketched a graph where the x value of 13 produced no y-value, instead of avoiding a y-value of 13. Both groups of students needed assistance to recognize their mistake, but all students were easily convinced of their mistake. One student said, "Oh yeah, f of x" with a strong emphasis on x. Some students, who happened to initially graph a function that was one-to-one realized that they could simply "rotate" their graph so that a y-value of 13 would not exist, instead of avoiding an x-value of 13.
However, students did not seem to be aware that functions that were not initially one-to-one would not produce a function when rotated. (See Figure 2.) The instructor or a teaching assistant eventually pointed out the problem to the students, and they were able to fix their graphs to produce appropriate functions.
y y Figure 2: Illustration of a rotation that does not produce a function Another mistake that was prevalent in the video data is the tendency for students to avoid one specific y-value of 13, namely the point (0, 13). Students seemed to be attending only to the place on their graph where they had labeled y = 13, instead of attending globally to any y-value of 13. This aligns with Monk's (1992) classifications of point-wise versus across-time reasoning.
The graphs that our students drew did not cross through the point (0, 13), but sometimes had a yvalue of 13 elsewhere (See Figure 3). Other students were able to draw a graph that never had a y-value of 13, but it was unclear in the video if that was by chance or if it was a purposeful decision. Additional data is needed to more fully understand students' beliefs.
–  –  –
Even though the students had difficulty with basic function notation, they were able to understand the ideas behind the Intermediate Value Theorem. Students had no trouble believing that a continuous function must pass through a y-value of 13 if there were a y-value less than 13 and a y-value greater than 13 somewhere in the function. Throughout the semester, students told the instructor that they "get the idea" but have difficulty expressing it. Their verbal descriptions of the theorem often included gestures, which made it easier for them to express. In the written work, the students greatly struggled with function notation and the overall structure of an "ifthen" statement.
Fifty-four responses to the pop-quiz question were collected, and mistakes were categorized according to common themes. One noticeable error was in the students' attempts to use the standard if/then wording of the theorem. Common errors in this category included the presence of a hypothesis with no conclusion statement or switching the 'if' and 'then' statements (yielding in an incorrect assumption that the IVT proves that a function is continuous). Often, students would omit one or more parts of the theorem (e.g. not stating that the function must be continuous), resulting in a statement of a theorem that was not always true.
Another common problem in the student responses on the quiz dealt with issues in the x and y-values. A few students used a non-standard notation, but still produced a mathematically correct statement. He wrote, "The Intermediate Value Theorem states that if a function is continuous and there is a point a with y-value x and a point b with y-value z...". As mathematicians and teachers, we would never consider labeling a y-value with x, but it is not mathematically incorrect. Other students were less clear about whether the variables they used referred to x or y values, making it unclear whether or not their statements were correct. Still, other students were clearly wrong in their labeling. For example, one student stated, "The Intermediate Value Theorem is proving that N (y-value) exists by finding an a and b (x-values) on a continuous graph both greater than and less than N." In this example, the student clearly labeled N as a y-value and said that this y-value should between two x-values | 677.169 | 1 |
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Critical evaluation of Maths remaining as part of the curriculum - Essay Example
Extract of sample Critical evaluation of Maths remaining as part of the curriculum
Teaching and learning mathematics dates back to the third century BC making mathematics an ancient subject (Martin, 2006). Pioneers of modern mathematics include Euclid, and Pythagoras. Presumably, the age of mathematics as a subject has rendered it irrelevant in the modern world evoking the debate on whether mathematics should remain part of the school curriculum. However most teachers particularly mathematics teachers believe that mathematics should remain as part of the school curriculum. This report present a critical analysis of responses received from both teachers and students with the aim of drawing a conclusion on the issue. Majority of the teachers confirmed that mathematics is the only subject that train students how to make logical decisions on an issue. Unlike other subject, mathematical knowledge is based on fundamental theorems and principle. In addition, mathematics is the only well defined subject or the only subject that avoids contradictions. This indicates that mathematics endows learners with fundamental skills that cannot be obtained from another subject taught in the school curriculum. According to Martin (2006), mathematics is the only universal subject and the only subject that has remained relevant over the years. ...
It has been established that most subjects teach students how to memorize or remember (Martin, 2006). This aspect makes mathematics a sufficient prerequisite to nearly all subjects taught in the school curriculum. Most science and engineering subjects such as chemistry, engineering, physics, and architecture use mathematics to proof and illustrate theoretical concepts. Discovery of abstract branches of mathematics such as algebra, topology, and analysis has also been instrumental in the evolution of computer science and information technology. Thus, nearly all subjects taught in the modern school curriculum depend on mathematics as their main language of illustration. From responses received, it is evident that teachers support the issue of maintaining mathematics in the school curriculum. It is also evident that mathematics is applicable in humanities and social sciences. In particular, mathematical techniques are applied in humanities and social sciences to establish social trends and to quantify key social quantities such as population. Therefore, mathematics cannot be eliminated from the school curriculum. The interactive nature of mathematics is the main factor that makes most students to shy away from the subject. Unlike other subjects taught in the school curriculum, mathematics requires active participation of students. This compels the students to participate in classroom activities such as class discussion and completing assignments. Thus, mathematics exams not only examine a student's ability to remember theoretical content but their level of participation in the school activities. Evidently, the level of a student's participation in mathematics also measures their
...Show more
Summary
Critical Evaluation of Math Remaining As Part of the Curriculum 12th December 2012 Critical Evaluation of Math Remaining As Part of the Curriculum Mathematics is considered as the most difficult subject in the school curriculum therefore raising concern over its continued existence…
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The subject is also among the oldest subjects pin the world. Teaching and learning mathematics dates back to the third century BC making mathematics an ancient subject (Martin, 2006). Pioneers of modern | 677.169 | 1 |
Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.
Chapter zero : fundamental notions of abstract mathematics
Designed for the undergraduate-level introduction to Advanced Mathematics courses, this book calls upon students to write their own proofs. There are few finished proofs contained in the text, but the author offers "proof sketches" and helpful technique tips to help students develop.Read more... | 677.169 | 1 |
This series covers essential subjects in Trigonometry and Pre-Calculus with exceptional clarity so that students will feel well prepared to move onto Calculus and Physics. What sets this series apart... more
This lesson teaches students how to solve equations that contain polynomials that cannot be easily factored. In order to do this, the quadratic formula must be used. Students are introduced to the... more
Geometry is frequently challenging for students because every problem involves a figure that students must use to solve the problem. Each new concept is introduced in an easy to understand way, using... more
Geometry is frequently challenging for students because every problem involves a figure that students must use to solve the problem. Each new concept is introduced in an easy to understand way, using | 677.169 | 1 |
This course is aimed at providing students with the basic concepts of
linear algebra. On completion of this module, students should be able to
a) tackle and solve elementary problems of linear analytic geometry,
b) operate with matrices and solve systems of linear equations,
c) solve simple aigenvalue problems.. | 677.169 | 1 |
When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core mathematical concepts -- from fractions, decimals, and statistics to graphs, integers, and exponents -- and get the best possible grade.Similar books results
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– Solving Trigonometric Equations
– Sum Physics II
Teacher Sam Reongjareonsook
Grade 11 Fundamental Math
Teacher Nate Perkins
This week, we will complete chapter 8, and begin chapter 9 on quadratics:
– Graphing Quadratic beginning of this weekatives of Trigonometric Functions
– Chain Rule 34
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Physics I
Teacher Sam Reongjareonsook
In this week, students will complete their section on momentum conservation, learning about the difference between perfectly elastic and inelastic collisions.
Grade 12 Physics II
Teacher Sam Reongjareonsook
Students this week will learn to perform calculations with concave mirrors, concave lenses and convex lenses, determining factors such as distance and focal points.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 8 Quadratic Expressions and Equations
This week, we will continue chapter 8:
– Differences of Squares
– Perfect end of this week.
Grade 11 Pre-Calculus
Teacher Nate Perkins
Ch. 4 Trigonometry; Ch. 5 Analytic Trigonometry
This week we will complete the study of Chapter 4, which covers trigonometry. Then, begin Chapter 5, beginning our study of analytic trigonometry:
– Using Fundamental students will have a Chapter Test at the beginning of this week as assessment.
Grade 12 Calculus
Teacher Nate Perkins
Ch. 3 Derivatives
This week, we will continue Chapter 3. This chapter discusses derivatives:
– Velocity and Other Rates of Change
– Derivatives of 33
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Physics I
Teacher Sam Reongjareonsook
In this week, students will learn about momentum and impulse, its conservation, and its relationship with energy conservation.
Grade 12 Physics II
Teacher Sam Reongjareonsook
During this week students will learn about light, reflective mirrors and focusing lenses.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 8 Quadratic Expressions and Equations
This week, we will continue chapter 8:
– Solving ax^2 + bx + c = 0
– Differences of prepared Inverse Trigonometric Functions
– Applications and Models Rules for Differentiation
– Velocity and Other Rates of Change 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Physics I
Teacher Sam Reongjareonsook
Students will continue their study of energy, focusing on mechanical energy conservation and power.
Grade 12 Physics II
Teacher Sam Reongjareonsook
Students will complete their study of sound waves, examining this week pitch and sound wave intensityative of a Function
– Differentiability 31
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Physics I
Teacher Sam Reongjareonsook
In this week students will review exam questions and will be introduced to two new concepts: work and energy.
Grade 12 Physics II
Teacher Sam Reongjareonsook
After reviewing test questions, students will build on their previous understanding of wave functions by examining sound waves Graphs of Sine and Cosine Functions
– Graphs of Other begin Chapter 3. This chapter discusses derivatives:
– Derivative of a FunctionTest Structure
Students are given a total of 25 questions. There will be no multiple choice or fill in the blank questions on this test. Only math questions applying what they have learned. Diagrams will be included on appropriate problems.
Test Structure
Students are given a total of 10 questions. There will be no multiple choice or fill in the blank questions on this test. Only math questions applying what they have learned. Diagrams will be included on appropriate problems.
Test Structure
Students are given problems from each section of the book for a total of 8 questions. There will be no multiple choice or fill in the blank questions on this test. Only math questions applying what they have learned. Diagrams will be included on appropriate problems.
Grade 11 Fundamental Math
Teacher Nate Perkins
This week, we will take the chapters 1-6 test, and then begin chapter 7:
– Elimination Using Multiplication
– Rational Exponents beginning of this week.
Grade 11 Pre-Calculus
Teacher Nate Perkins
Ch. 4 Trigonometry
This week we will begin 2 Limits and Continuity
This week, we will continue Chapter 2. This chapter is designed as a bridge between precalculus and calculus:
– Limits Involving Infinity
– Continuity different mathematical procedures into them so they are prepared for chapter, midterm, and final exams.
Grade 11 Pre-Calculus
Teacher Nate Perkins
Ch. 8 Matrices and Determinants
This week we will complete Chapter 8, which covers matrices and their uses:
- Applications of Matrices and Determinants Chapter 8 Test is at the end of this week.
Grade 12 Cal 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Physics I
Teacher Sam Reongjareonsook
Students will finish the previous week's chapter on linear acceleration, moving on to acceleration and free fall. Understanding x-intercept solutions for linear and quadratic equations will be necessary.
Grade 12 Physics II
Teacher Sam Reongjareonsook
During this week students will move on from fluid pressure to basic thermodynamics – heat energy calculations, phase changes and calorimetry- The Inverse of a Square Matrix
- The Determinant 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Physics I
Teacher Sam Reongjareonsook
In this week, students will solidify their understanding of SI units and derived physics units. They will also learn the beginning calculations for linear motion as they are introduced to units such as displacement, velocity and acceleration.
Grade 12 Physics II
Teacher Sam Reongjareonsook
Since students were introduced to buoyant force in the prior week, in this week we will continue our study of fluid mechanics by learning about Bernoulli's Principle and fluid motion in closed channels.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 3 Linear Functions & Ch. 4 Equations of Linear Functions
This week, we will complete Chapter 1 in Algebra 1, and then begin Chapter 2, on linear equations– Operations with Matrices
– The Inverse begin Chapter 2. This chapter is designed as a bridge between precalculus and calculus:
– Rates of Change and Limits begin studying Chapter 8, which covers different systems of equations and inequalities:
- Matrices and Systems of Equations
- Operations with Matrices chapter test at the end of this week for assessment.
Grade 12 Pre-Calculus
Teacher Nate Perkins
Ch. 1 Prerequisites for Calculus
This week, we will begin our work in Chapter 1 of the calculus book. This chapter gets the students ready for calculus by preparing them with prerequisites.
- Parametric Equations
-• Students are given a total of 30 questions. There will be no multiple choice or fill in the blank questions on this test. Only math questions applying what they have learned. Diagrams will be included on appropriate problems.
• Students are given a total of 15 questions. There will be no multiple choice or fill in the blank questions on this test. Only math questions applying what they have learned. Diagrams will be included on appropriate problems.
• Students are given three problems from each section of the book for a total of 12 questions. There will be no multiple choice or fill in the blank questions on this test. Only math questions applying what they have learned. Diagrams will be included on appropriate problems.
Week 18
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
This week we will finish our section on stoichiometry, examining molar measurement factors such as limiting reactions, percent yields and percent composition.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
Students this week will go over the states of matter and their relationship to volume, pressure and heat changes Graphing in Slope-Intercept Form
- Quadratic Equations 7 Systems of Equations and Inequalities
This week we will continue studying Chapter 7, which covers different systems of equations and inequalities:
- Partial Fractions
- Systems of Inequalities
- Linear Programming 17
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students this week will continue our section on stoichiometry, practicing in class molar and mass conversions.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
This week we will finish our section on stoichiometry, having addressed and practiced extensively limiting reactants, balanced equations and reaction yields Variables and Algebraic Expressions
- Solving Simple Equations
- Graphing in Slope-Intercept Form- Rotation of Conics 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students will begin to study stoichiometry and molar calculations – an essential skill used in the measurement of chemical reagents and products.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
Grade 12 this week will finish their delayed section on molar calculations before transitioning into true stoichiometry – the mathematical prediction of product yields based on reactant quantity.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 11 Probability and Statistics; Ch. 12 Number Series
This week we will study Chapter 11, which covers Statistics. Then we will begin studying Chapter 12 on number series:
- Statistics
- Arithmetic Progressions
- Geometric Progressions begin our work in Chapter 10:
- Lines
- Introduction to Conics: Parab 15
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students this week will review our current chapter on chemical reactions and will complete assignments as required.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
Grade 12 this week will finish studying the first chapter half on stoichiometry and molar calculations.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 11Probability and Statistics
This week we will study Chapter 11, which covers Statistics:
– Probability
– Combinations & Logarithmic Functions
This week we will continue studying Chapter 3, which covers exponential and logarithmic functions.
I will use examples from the book to illustrate the different This week the students will take a Test on Chapter 3.
Grade 12 Pre-Calculus
Teacher Nate Perkins
Ch. 10 Topics in Analytic Geometry
This week, we will begin our work in Chapter 10:
– Lines 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
This week, students will finish studying the basics of chemical reactions by learning about reactions in aqueous solutions and all types of possible products.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
We will begin the first half of our section on stoichiometry. Students will be introduced to a standard quantity of measurement, the mole, and will be expected to be familiar with this standard in future calculations of molar mass, solution concentration and reaction equilibrium 13
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students will study the second portion of covalent bonding patterns this week. We will examine valence shell electron pair repulsion theory and the influence of electronegativity on bond polarities.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
This week, students will finish studying the basics of chemical reactions by learning about reactions in aqueous solutions and all types of possible products. This will be a good foundation for an understanding of concentrations and reaction equilibriums in the upcoming weeks Logarithmic Functions and Their Graphs
– Properties of Logarithms 12
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students this week will examine covalent bonds and compounds, and the effects of electronegativity on their formation.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
We will begin to examine actual chemistry this week – types of reactions and the thermodynamics behind why they take place.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 9 Measurements
This week we will study Chapter 9, which covers Measurements:
– English System
– Metric System
– Converting Units of Exponential Functions and Their Graphs
– Logarithmic Functions and Their Graphs 9
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
This week we will finish our section on ionic bonds by examining metals and their relationship to ionic crystals, before transitioning into midterm reviews.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
This week marks the end of our study on covalent bonding. We will complete the chapter by looking at partial positive and negative charges, bond polarity and formal charge calculation before reviewing midterms.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 8 Powers of Ten and Scientific Notation
This week we will study Chapter 8, which covers Powers of Ten and Scientific Notation:
Powers of Ten
Scientific Notation
Chapter 5 – 8 There will be a test at the end of this week.
Grade 11 Pre-Calculus
Teacher Nate Perkins
Ch. 2 Polynomial and Rational Functions
This week we will continue learning more about the use of polynomial and rational functions from chapter 2, sections6-7:
Rational Functions
Nonlinear Equalities
We will also be reviewing and taking the Chapter 2 test this week on Wednesday and Thursday, respectively. 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students will be introduced to the nature of ionic bond characteristics, compare and contrast endothermic and exothermic reactions, and relate the relevance of crystalline structure to ionic bonds.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
In this week, we will continue our current section on covalent bonding and molecular structure.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 7 Powers, Exponents, and Roots
This week we will study Chapter 7, which covers Powers, Exponents, and Roots:
Exponents
Square Roots and Cube Roots 2 Polynomial and Rational Functions
This week we will continue learning more about the use of polynomial and rational functions from chapter 2, sections 5-6:
Complex Numbers
Zeros of Polynomial Functions
Rational 7
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Having completed the previous section of electron behavior, orbitals and models, students will be able to move on and study periodic table trends.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
This week we will introduce the first half of a section on covalent bonding, including their classification, polar vs nonpolar natures and common naming patterns.
Grade 11 Fundamental Math
Teacher Nate Perkins
This week we will study Chapter 6, which covers Integers and Rationals:
Adding and Subtracting Positive and Negative Integers and Fractions
Multiplying and Dividing Positive and Negative Integers and 2, which covers the application of polynomials and rational functions:
Polynomial Functions of a Higher Degree
Polynomial and Synthetic Division
Complex Numbers of chapter 5 this week.
Week 6
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Atomic nuclear structure will be concluded this week, and the focus will change to electrons, their orbitals, Hund's Rule, and the Aufbau and Pauli exclusion principles.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
Students will continue reviewing the nature of ionic bonds, and in addition, covalent bonds, electronegativity trends and polar bond natures will be introduced.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 5 Percents
This week we will study Chapter 5, which covers percents:
Changing Percents to Decimals and Fractions
Changing Decimals and Fractions to Percents
Important Equivalents
Applications of Percents take our test on Chapter 1, then begin studying Chapter 2, which covers the application of polynomials and rational functions:
Quadratic Functions and Models
Polynomial Functions of Higher Degree There is a test this week.
Grade 12 Pre-Calculus
Teacher Nate Perkins
Ch. 5 Analytic Trigonometry
This week, we will continue our study of Chapter 5, analytic trigonometry:Week 5
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students will be introduced to the structure of the atom, the periodic table and electron orbital structure.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
After reviewing electron orbitals and electronegativity trends in previous weeks, in this week students will learn to recognize and calculate energies for the first type of atomic bond – ionic bonds.
Grade 11 Fundamental Math
Teacher Nate Perkins
Ch. 4 Fractions
This week we will complete Chapter 4, which covers fractions:
Simplify Fractions
Change Fractions to Decimals
Change Decimals to Fractions
Chapter 1 – 4 There will be a chapter test at the end of this week.
Grade 11 Pre-Calculus
Teacher Nate Perkins
Ch. 1 Functions and Their Graphs
This week we will begin studying Chapter 1, which covers functions and the different types of graphs that result from them:
Inverse Functions
Mathematical Modeling and VariationCh. 5 Analytic Trigonometry
This week, we will continue our study of Chapter 5, analytic trigonometry:
Sum and Difference Formulas 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students will learn to differentiate between elements and compounds, and the states of matter.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
Students will familiarize themselves with periodic table trends (groups vs rows), valence electrons, and electronegativity, which should prepare them to determine bonding patterns in the future.
Grade 11 Fundamental Math
Teacher Nate Perkins
This week we will begin Chapter 4, which covers fractions:
Renaming Fractions
Factors and Multiples for Fractions
Adding and Subtracting Fractions
Dividing
Grade 11 Pre-Calculus
Teacher Nate Perkins
This week we will begin studying Chapter 1, which covers functions and the different types of graphs that result from them:
Transformations of Functions
Combinations of Functions: Composite Functions
Inverse, we will continue our study of Chapter 5, analytic trigonometry:
Solving Trigonometric Equations
Sum 3
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Students will learn keys to making correct chemical calculations by using dimensional analysis and proper standards of measurement and scientific notation. They will also learn the limits of equipment accuracy and precision.
Grade 12 Chemistry II
Teacher Sam Reongjareonsook
Now that reasoning with the scientific method has been established, this week we will transition our review focus to the precise nature of the atom from an experimental viewpoint. The discovery of nucleus protons by Rutherford's gold foil experiment, and the calculation of electron mass by Millikan's oil drop experiment, will be explained in detailFunctions
Analyzing Graphs of Functions
A Library of ParentGrade 12 Pre-Calculus
Teacher Nate Perkins
This week we will begin Chapter 5, beginning our study of analytic trigonometry:
Verifying Trigonometric Identities
Solving Trigonometric Equations 2
Grade 11 and 12 English
Teacher Joe Grzebyk
Grade 11 & 12 Chemistry I
Teacher Sam Reongjareonsook
This week, we will be focusing on the foundation of scientific thought: the scientific method and its influence on proper experimental design. Students will then be taught to use dimensional analysis, which is essential for calculationsGraphs of Equations
Linear Equations in Two Variables
Functions begin Chapter 5, beginning our study of analytic trigonometry:
Using Fundamental Identities
Verifying Trigonometric 11 and 12 English
Teacher Joe Grzebyk
Grade 11 Chemistry I
Teacher Sam Reongjareonsook
Grade 11 Fundamental Math
Teacher Nate Perkins
This week we will begin studying Chapter 1, which reviews basic math concepts as an introduction to other topics in basic mathematics:
Ways to show Multiplication and Division
Common Math Symbols
Properties of Basic Mathematic Operations 11 Pre-Calculus
Teacher Nate Perkins
This week we will begin studying Chapter 1, which covers functions and the different types of graphs that result from them:
Rectangular Coordinates review Chapter 4 from last, which covers trigonometry:
Radian and Degree Measure
Trigonometric Functions: The Unit Circle
Right Triangle Trigonometry
Trigonometric Functions of Any Angle | 677.169 | 1 |
The 8 Best Graphing Calculators8. HP 40gs
The HP 40gs is ideal for high school students taking math, science or engineering classes. It sports an adjustable-contrast display and is a bit cheaper than most models with similar functionality, so it's a great starter choice.
7. TI-84 Plus
A tried and true standard since its introduction in 2004, the Texas Instruments TI-84 Plus easily handles calculus, trigonometry, and a host of financial applications. It's approved for use on SAT, ACT, and International Baccalaureate exams.
6. Casio FX-CG10 Prizm
Enhance your understanding of even the most complex mathematics using the Casio FX-CG10 Prizm. This revolutionary tool allows students to experiment with concepts using images from their own lives to achieve a whole new level of learning.
5. Casio FX-CP400-L
The Casio FX-CP400-L offers an intuitive design and avoids any unnecessarily complicated key operations thanks to its stylus and large touchscreen panel. It can be used in its upright orientation or rotated horizontally for a wider view.
4. Ti 89 Titanium
The Ti 89 Titanium by Texas Instruments features 16 preloaded applications suitable for college-level math and engineering coursework, and can be programmed and upgraded from a computer via its USB port. Its 16,000 pixel screen allows for 3D graphing.
3. Casio fx-9750GII
The Casio fx-9750GII boasts an icon-driven onscreen menu system for easy access to advanced functions, and has a hard slide-on cover for maximum protection when not in use. A built-in USB port allows you to easily share your data with peers.
2. HP Prime
The HP Prime makes a great personal assistant when taking exams, and features an attractive, slim, brushed metal design. It boasts a straightforward keypad and uses a lithium-ion rechargeable battery, so you never have to worry about finding a fresh set of AAs.
1. TI-Nspire CX CAS
Get inspired to tackle elaborate math problems using the sleek and rechargeable Texas Instruments TI-Nspire CX CAS. It features a high-resolution, full-color display that makes it easy to see every exponent, variable, and line at hand.
The Advent Of Graphing Calculator
The first graphing calculator designed for commercial sale was the Casio fx-7000G, which was released in 1985. The advent of the graphing calculator was a significant leap forward in technology over all previous calculator models. Up until then, calculators could only process a single calculation at a time, but the Casio fx-7000G could perform a series of calculations based on formulas or functions that the user had input. In addition, it could store the results of the calculations in its internal memory. The Casio fx-7000G was also the first calculator that could be programmed by the user.
For a graphing calculator to not only plot points on a graph, but also display them for the user to see, it required a more powerful display than what previous versions offered. To combat this, Casio integrated a 96x64 dot matrix screen allowing it to plot out bar graphs, algebraic graphs, regression lines, and normal distribution curves.
When Casio first introduced the graphing calculator, they created it with a custom designed processor based on the popular Z80, which is what was used to power home desktop computers of the day. As computers of the time were relatively basic themselves, graphing calculators were capable of many of the same functions, making them essentially handheld computers.
Once Casio opened the doors to the market of graphing calculators, other companies soon followed. In 1987, HP released the HP-28 series, which was the first calculator capable of solving equations symbolically. It was available in two models: the HP-28C and the HP-28S. Both models had a flip-open case with an alphabetic keyboard on the left side and a standard scientific keyboard layout on the right. They also had a 137×32 LCD dot matrix screen.
The HP-28C was the first graphing calculator that had a Computer Algebra System (CAS) and it came with 2KB of RAM. In 1988, the HP-28S model was released, which had a stunning 32KB of RAM and a Saturn processor running at 1 MHz, giving it the same specs as desktop computers from just one year earlier.
Choosing A Graphing Calculator
Graphing calculators can be had for as little as $25 or as much as $200+, so before buying one, it's a good idea to decide which features you need and which you don't. This will prevent you from spending more than needed on a tool that you might only use for a semester or two.
Nearly any student can benefit from a graphing calculator that has Natural Math Display. This allows it to display equations and formulas in exactly the same way as you would write them on a piece of paper; meaning fractions look like fractions and you can use full sized symbols. Having this will make reading a graphing calculator considerably easier, which is especially useful for those new to using them.
CAS makes using a graphing calculator quicker and more efficient. Instead of having to give a numerical definition to each and every variable, you can just perform algebra symbolically. This is an absolute necessity for complex calculations, which not only makes your life easier, but also allows the graphing calculator to solve equations with a higher number of unknown variables.
Only the most expensive models are available with full color screens, and some even are touchscreens. A full color screen will make navigating menus easier and graphs easier to read. Those with a class load heavily focused on mathematics should certainly consider one, but for those who are just taking the bare minimum of math and science classes, it is probably best to choose a less costly model without a color screen.
3D graphing is another feature that is only useful for particular classes. 3D graphing allows a calculator to plot multivariable functions over the x, y, and z planes, as opposed to standard graphing which only plots on the x and y planes. If you are just taking basic algebra and precalculus classes, it's more of a luxury than an essential feature, whereas those taking non-linear algebra and multivariate calculus will find it invaluable.
Two Common Questions About Graphic Calculators
One of the foremost questions parents and students have about graphing calculators is "What classes use them?" Graphing calculators are a vital tool in a number of science and math classes. This is by no means an exhaustive list, but a student can expect to use a graphing calculator in algebra classes of all levels; geometry, precalculus and calculus, trigonometry, biology, physics, chemistry, business and finance, and statistics.
Another common question is whether to purchase one with a rechargeable battery or one that uses standard alkaline batteries. While many people these days prefer rechargeable devices, buying one that requires alkaline batteries may be a better choice for those who will be using their graphing calculator for tests.
If a student accidentally forgets to charge their device before a big test, there is nothing they can do about it and will either have to take the test without their graphing calculator, or rush out to a store to buy one that takes alkaline batteries. Even if charged, their is always the risk of it dying during class or a test. Models that take alkaline batteries will always be ready to use as long as a student makes it a habit to keep a few extra batteries in their bag at all times. | 677.169 | 1 |
is the mathematics of change, and answers questions such as: How fast is a function growing? This lecture introduces the concepts oflimitsandderivatives, which allow the slope of a curve to be measured at any point.
Abstract:
Calculus is the mathematics of change, and answers questions such as: How fast is a function growing? This lecture introduces the concepts oflimitsandderivatives, which allow the slope of a curve to be measured at any point. | 677.169 | 1 |
With Safari, you learn the way you learn best. Get unlimited access to videos, live online training,
learning paths, books, tutorials, and more.
When we discussed the use of vectors in geometry, I did not set up the axioms of geometry, but appealed to the reader's knowledge and intuition concerning planes and lines. It is useful and instructive to see how Euclidean geometry can be developed from axioms, but it would have taken us far away from our main topic.
In the next two chapters we shall develop the idea of a Cartesian tensor. Cartesian tensors are mainly used in physics, so we shall encounter 'point masses', 'smoothly varying functions of position' and similar slightly louche characters. In addition, matters which would be made explicit by a pure mathematician will be allowed to remain implicit. Repeated trials have shown that it is rarely ...
With Safari, you learn the way you learn best. Get unlimited access to videos, live online training,
learning paths, books, interactive tutorials, and more. | 677.169 | 1 |
Subject wise Global Events
Differential Equations-Articles-open-access
Differential equations are the equations in mathematics which includes plenty of fancy math type symbols, it basically states that how a rate of change in one variable is related to the other variable.
It plays an important role in biology, physics, economics, engineering etc.
Differential equations arise in several areas of science and technology, specifically whenever a settled relation involving some endlessly variable quantities (modeled by functions) and their rates of modification in house and/or time (expressed as derivatives) is understood or postulated.
OMICS Group International runs over 300 best open access journals, Journal of Applied & Computational Mathematics is also one of them.
Differential equations open access journal aims to publish recent trends and developments in the area of mathematics making it freely accessible to one and all without any restrictions.
It publishes articles in the area related to Mathematical control theory, Ordinary differential equations, Partial differential equations, Stochastic differential equations, Topological dynamics etc.
Differential equations articles open access provides a greater chance of visibility to the readers, which in turn leads to maximum number of article citations. | 677.169 | 1 |
This book is a general description and a reflection of my journey in unearthing the mysteries of mathematics as a subject and an approach towards understanding and learning it.It will not necessarily give you tools but will prepares you to approach the subject with confidence and an open mind-set.The book classifies the evolution of maths from pre-historic times to current and contemporary issues and future affecting the subject.It also advice on the approach of all those who comes in contact with the subject be it teachers,students,parents or administrators.
About the author(s)
Dhaval Vyas, M.B.A (Finance), B.A. (Economics & Sociology), is a
management graduate from ICFAI (Institute of Chartered Financial
Analysts of India). He has more than ten years of experience working in
areas such as market research and survey, sales, administration, purchase,
production, customer service industry and real estate.
Currently he is pursuing a company secretary course. An avid reader, his
hobbies include various drawing, painting, watching movies, listening to
music, social networking besides taking interest in socio-political issues and
being a social investor. He has participated for a charity to remove poverty
called Rangde which makes investments in the social sectors. He has an
analytical bent of mind and has completed an internship for a project on the
cement industry in India.
Vyas is also a keen conservationist and loves to learn about different cultures.
This is his first book. | 677.169 | 1 |
Excellent preparation for the linear and modular mathematics GCSE specifications offered by AQA, Edexcel and OCR. Higher transition is for students who have followed any 'core' course in key stage 3 and need to cover or revise basic topics before they start Higher 1 (the first of the two main Higher tier books). To help teachers identify material that can be omitted by some students - or just dipped into for revision or to check competence - chapter sections estimated to be at national curriculum level 6 (or in a few cases level 5) are labelled as such | 677.169 | 1 |
Written for college students taking a moment or 3rd 12 months undergraduate direction in arithmetic or desktop technology, this booklet is the fitting better half to a path in enumeration. Enumeration is a department of combinatorics the place the basic subject material is a number of tools of development formation and counting. An advent to Enumeration offers a entire and functional advent to this topic giving a transparent account of basic effects and an intensive grounding within the use of strong concepts and tools.
Two significant topics run in parallel during the publication, producing services and team idea. the previous subject matter takes enumerative sequences after which makes use of analytic instruments to find how they're made up. workforce conception offers a concise advent to teams and illustrates how the speculation can be utilized to count number the variety of symmetries a selected item has. those improve and expand simple staff rules and techniques.
The authors current their fabric via examples which are conscientiously selected to set up key leads to a normal environment. the purpose is to gradually construct primary theorems and strategies. This improvement is interspersed with workouts that consolidate principles and construct self assurance. a few routines are associated with specific sections whereas others variety throughout a whole bankruptcy. all through, there's an try to current key enumerative rules in a photograph manner, utilizing diagrams to lead them to instantly available. the improvement assumes a few uncomplicated crew conception, a familiarity with analytic services and their strength sequence growth in addition to a few easy linear algebra.
The learn effects released during this e-book diversity from natural mathematical thought (semigroup thought, discrete arithmetic, and so forth. ) to theoretical machine technology, specifically formal languages and automata. The papers tackle matters within the algebraic and combinatorial theories of semigroups, phrases and languages, the constitution conception of automata, the class thought of formal languages and codes, and functions of those theories to numerous parts, like quantum and molecular computing, coding concept, and cryptography.
This can be an creation to considering undemanding arithmetic from a categorial perspective. The target is to discover the implications of a brand new and basic perception in regards to the nature of arithmetic. Foreword; notice to the reader; Preview; half I. the class of units: 1. units, maps, composition; half II.
There are other operations we can use as well. 22 If we multiply the generating function of the last example by z we find that z = z + 2z2 + 3z3 + 4z4 + · · · . (1 − z)2 We may conclude that the sequence {0, 1, 2, 3, . } = {r} has the generating function z . 1 Generating function library. We will build the library as the book progresses and it is summarized in Appendix A. 2 Recurrence to Generating Function Most enumerations start with a recurrence relation that has been derived, rather than the enumerative sequence itself. | 677.169 | 1 |
The Wilkes-Barre Times Leader 08-16. Explore. secondary mathematics teach-. complete the switch would.Mathematics Assessment for Learning and Teaching: Teach Yourself Mathematics by Johnson, Trevor, Neil, Hugh and a great selection of similar Used, New and Collectible.Applicants for Chemistry discipline should have Mathematics up.Explore books by Hugh Neill with our selection at Waterstones.com. Click and Collect from your local.
Full text of "Tiger's Roar" - www27.us.archive.org
Are you looking for a clear, accessible guide to mathematics that.Read Complete Mathematics A step by step introduction to the mathematical essentials by Trevor Johnson And Hugh Neill with Rakuten Kobo.Complete Mathematics: A Teach Yourself Guide Trevor Johnson and Hugh Neill are both very well.Check price variation of Teach Yourself Calculus - A Complete Introduction at Flipkart, Amazon.LibraryThing is a cataloging and social networking site for booklovers.Best price for Teach Yourself Calculus - A Complete Introduction is 562.Are you looking for a clear, accessible guide to mathematics that can help you brush up.
Teach Yourself | Series | LibraryThing
Click and Collect from your local Waterstones or get FREE UK delivery on. | 677.169 | 1 |
Using Models to Build an Understanding of Functions
Kathleen, Cramer
How to plan and organize instruction to help students understand the function concept and to make the mathematics explicit. Linear, quadratic, and exponential functions are explored through use of manipulatives and data collection. Includes activity sheets.
This is available to members of NCTM. If you are interested in a NCTM membership, join now. You may also purchase this article now for online access. | 677.169 | 1 |
I'm getting really tired in my math class. It's free online downloadable books of cost and management accounting , but we're covering higher grade material. The topics are really complex and that's why I usually sleep in the class. I like the subject and don't want to fail, but I have a real problem understanding it. Can someone guide me?
I'm know little in free online downloadable books of cost and management accounting . Butgebra Helper and it's an amazing piece of program because it does not only show the answer but it also shows the process of solving it. How cool is that?
Welcome aboard friend. This subject is very appealing, but you need to know your basics and techniques first. Algebra Helper has helped me a lot in my course. Do give it a try and it will work for you as well.
Yes. Get the details here – There is a quick buy routine and I think they also give a cool money-back guarantee. They know the product is superb and you would never use it. Enjoy!
Algebra Helper is the program that I have used through several math classes - Algebra 1, Pre Algebra and Algebra 2. It is a truly a great piece of math software. I remember of going through problems with triangle similarity, rational equations and subtracting exponents | 677.169 | 1 |
Mathematics
At Lagan College we aim to challenge and encourage students to succeed in their Mathematics. However, we also try to make it fun and interesting too. The Maths department uses the latest technology and methods to bring the teaching and learning of Maths to life. These include the MyMaths website and the Lagan College Maths Weebly Website.
The MyMaths website allows students to work through the lessons again at their own pace which encourages independent learning. Students are also given online homeworks via MyMaths.
Each year group has a You Tube Scheme of Work which helps students understand the topics. If a student has a difficulty or wishes to revise a specific aspect they can go online and watch helpful videos.
Homework and assessment are very important to enable students to perform at their best. Staff set high expectations and track student's results through the years and always aim to place a student in a class of appropriate level.
We start building upon the Maths knowledge and skills they have developed throughout primary school. Year 8-10 are important years when students begin looking at topics that will be of great value to them during the GCSE years.
During Years 11 and 12 every student is entered for CCEA GCSE Mathematics. Very able mathematicians are also selected to study CCEA GCSE Further Maths.
Every year a class of high achieving students embark on the 2 year Edexcel A Level in Mathematics. This course includes Pure Mathematics, Mechanics and Statistics. Students who have studied A Level Maths usually go on to study a variety of courses at University including different Engineering courses, Financial, Computing, Medical and Scientific degrees. | 677.169 | 1 |
Well there are just two people who can guide me right now , either it has to be some math guru or it has to be the Almighty himself. I'm fed up of trying to solve problems on third order polynomial fitting and some related topics such as factoring expressions and solving a triangle. I have my midterms coming up in a a few days from now and I don't know how I'm going to face them? Is there anyone out there who can actually spare some time and help me with my problems ? Any sort of help would be really appreciated.
I have no clue why God made math , but you will be happy to know that someone also came up with Algebrator! Yes, Algebrator is a program that can help you crack math problems which you never thought you would be able to. Not only does it provide a solution the problem, but it also explains the steps involved in getting to that solution. All the Best!
I have tried out several software. I would confidently say that Algebrator has assisted me to come to grips with my difficulties on least common denominator, percentages and roots. All I did was to merely key in the problem. The answer showed up almost straight away showing all the steps to the result. It was quite easy to follow. I have relied on this for my algebra classes to figure out Algebra 2 and Algebra 1. I would highly advice you to try out Algebrator.
I remember having often faced difficulties with adding numerators, evaluating formulas and graphing. A truly great piece of math program is Algebrator software. By simply typing in a problem from workbook a step by step solution would appear by a click on Solve. I have used it through many math classes – Remedial Algebra, Basic Math and Algebra 1. I greatly recommend the program. | 677.169 | 1 |
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ENGINEERING MATHEMATICS
The manual provides a review of mathematics including addition, subtraction, division, use of decimals, square root problems, fractions and algebra. Many of the formulas commonly found on the USCG examination are included for review purposes. Since many of the formulas were taken from Coast Guard Rules and Regulations, the student should obtain a copy for study along with the formulas. A list of definitions and conversion factors is also provided as well as numerous problems and answers which will allow the student to check his understanding and proficiency. | 677.169 | 1 |
offers most accurate, extensive and varied set of assessment questions of any course management program in addition to all questions including some form of question assistance including answer specific feedback to facilitate success. The text also offers multimedia presentations (videos and animations) of much of the material that provide an alternative pathway through the material for those who struggle with reading scientific exposition. Furthermore, the book includes math review content in both a self-study module for more in-depth review and also in just-in-time math videos for a quick refresher on a specific topic. | 677.169 | 1 |
SOS Essentials of Math
Product Id - SOSEM
Polish your homeschooler's basic math skills with Switched-On Schoolhouse Essentials of Math for grades 8-12! A great refresher, this computer-based, seven-unit elective includes fun learning games and multimedia, as well as tests and quizzes that are perfect for reinforcing fundamental mathematic concepts. Suitable for remedial work or advanced learners, this Alpha Omega curriculum reviews topics like algebra, geometry, statistics, measurements, and more.
Description
Brush up your high school student's math skills with the fun and computer-based Switched-On Schoolhouse Essentials of Math from Alpha Omega Publications! This seven-unit math elective for grades 8-12 is perfect for refreshing and reinforcing fundamental math topics with engaging, multimedia-enriched lessons. Offering a learning environment like no other, this technology-driven course integrates video clips, entertaining games, and animation throughout the lessons to explain the lesson content. Outperforming traditional textbooks, this award-winning curriculum uses state-of-the-art tools to offer a rewarding blend of education and entertainment that builds a solid foundation for future math courses.
Designed for remedial work or advanced learners, Switched-On Schoolhouse Essentials of Math improves mathematic knowledge in the areas of algebra, geometry, statistics, measurements, and numbers! Saving your family time and money, SOS comes with automatic grading, lesson planning, a built-in calendar, customizable lessons, and a helpful message center. Plus, SOS is easily adapted to your student's needs. Don't fumble around with bulky textbooks any longer! Prepare your homeschooler for math success with this Alpha Omega curriculum. Order Switched-On Schoolhouse Essentials of Math today!
Highlights
Resources
Scope and Sequence | 677.169 | 1 |
This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions.Technical RequirementMATLAB® software is required to run the .m files found on this course site. The .FIN and .OUT are simply data offest tables. They can be viewed with any text reader. RealOne™ | 677.169 | 1 |
Year 9/10 - Pythagoras' Theorem
Who is this Sequence for?
This set of lessons is designed to develop and consolidate skills and conceptual understanding of Pythagoras' Theorem. The Year 9 lessons assume that students have been introduced to Pythagoras' Theorem and are able to complete routine calculations to find the length of the hypotenuse or of one of the short sides. The Year 10 lesson Bent Bamboo assumes knowledge of Pythagoras' Theorem and makes links to the algebra of binomial expansions and graphs of quadratic functions.
Summary of learning goals
Students apply Pythagoras' Theorem to explore practical and historical real-world problems. In the lessons Lunch Lap and Bent Bamboo they can see connections between their solutions and concepts of symmetry and algebra, and Phone Finding explores technology reliant on mathematical concepts. Each lesson involves an initial problem context that can be approached using Pythagoras' Theorem.
Rationale for this sequence
The concepts behind Pythagoras' Theorem and its proofs are taught well in classrooms, and there are ample high quality resources to assist teachers. This sequence is not intended to prove or teach the theorem for this reason. However traditional applications are often shallow and uninteresting and so the focus here is on providing explorative and atypical applications.
The tasks in this sequence provide, in order:
An imagined application of interest that produces a surprising result
A historical look at cross-cultural appearances of the theorem
An exploration of practical real-world technology that relies on the theorem
Lessons 1 (Lunch Lap) and 2 (Phone Finding) provide useful opportunities for fluency with Pythagoras' Theorem and Lesson 2 in particular can serve as a useful assessment task due to its self-contained focus and emphasis on fluency exercises. | 677.169 | 1 |
Using Numbers A guide. Calculations About half the Part A questions are calculations. These will usually involve Identifying an appropriate formula/equation.
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Presentation on theme: "Using Numbers A guide. Calculations About half the Part A questions are calculations. These will usually involve Identifying an appropriate formula/equation."— Presentation transcript:
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Calculations About half the Part A questions are calculations. These will usually involve Identifying an appropriate formula/equation Rearranging the equation to make the desired answer the subject Substituting numbers in the equation and calculating a result You may, on occasions be asked to interpret the answer.
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Calculations – some hints The answer to a calculation represents an actual quantity, so you must include units Beware excess precision. The data does not justify a final answer of more than 3 or 4 significant figures You should perform calculations at the precision of your calculator then round the final answer to not more than four figures
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Calculations – more hints You will be dealing with very large numbers so be familiar with and use scientific notation (aka standard form) e.g. 3.4 x 10 12 Joules. Also be familiar with SI unit prefixes (kilo-, mega-, tera- etc.) Be clear on the distinction between kilowatts and kilowatt-hours. (see units handout)
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Using Numbers In addition to performing calculations you will be expected to Interpret the significance of numerical data Use numerical data in the support of arguments Such data is likely to be In tables In graphs and charts The result of calculations
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Sources of Maths Help Science Good Study Guide T206 CDROM has a maths guide. You will need to install the CD's contents on your hard drive to make this available | 677.169 | 1 |
Pre-Cal is a basic introduction to Calculus. Students must have a strong background in algebra and a familiarity with trigonometry. This course will introduce trigonometry topics such as trigonometric identities, the radian system of angle measurement and performing trigonometric expression simplification. The course also covers other topics such as parametric equations & polar coordinates, vectors, conics, complex numbers, functions and derivatives | 677.169 | 1 |
Math Department
Department Chair: James Rizzuto
The mathematics offerings at Abington Senior High School are part of a continuous sequence that begins in grade seven. The program adopts criteria from the standards as recommended by the National Council of Teachers of Mathematics, the Advanced Placement Program provided by the College Board, and the Pennsylvania Academic Standards and State Regulations on Curriculum and Assessment. Applications and the use of technology are integrated into the curricula in all courses. Abington's program provides a foundation of mathematical ideas and applications. By its emphasis on fundamental concepts and essential skills, this foundation provides solid preparation for the world of work and citizenship, positive mathematical dispositions, and the conceptual basis for further study. Homework is an integral part of achieving success in mathematics and is a minimum requirement in all courses. | 677.169 | 1 |
This popular calculus text remains the shortest mainstream calculus book available - | 677.169 | 1 |
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