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It's all about your foundation. You need to completely understand the little stuff before understanding the more complex stuff.
For instance, you can't truly understand logarithms without first mastering exponentiation, which you can't fully understand without first mastering multiplication, which you can't fully understand without mastering addition, which you can't fully understand without mastering the number line.
It's like that with everything. If you aren't understanding something, it's most likely a simpler concept that you haven't quite mastered yet that is the real problem. formulas don't really help with understanding either, they just help with quickly solving a previously solved problem. |
An Introduction to Number Theory - 1 edition
Summary: An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject.In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is...show more that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory.A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory |
Project CALC:
Brief
Description
Project CALC is an award-winning curriculum development project funded
by the National Science Foundation. It
has produced materials for a three-semester reformed calculus course that
emphasizes
real-world problems,
hands-on activities,
discovery learning,
writing and revision of writing,
teamwork,
intelligent use of available tools, and
high expectations of students.
Materials
Text and lab materials have been in development and testing since 1989
and have been used by thousands of students at more than 100 schools across
the country (2- and 4-year colleges, universities, and high schools). The
first edition of Calculus: Modeling and Application is now available.
Please click here for more information on
all available materials.
Goals
Students should
be able to use mathematics to structure their understanding of and
investigate questions in the world around them;
be able to use calculus to formulate problems, to solve problems, and
to communicate the solutions of problems to others;
be able to use technology as an integral part of the problem-solving
process;
learn to work and learn cooperatively.
Integrated lab experience
Students working in teams in a computer or calculator lab
explore real-world problems with real data,
conjecture and test their conjectures,
discuss their work with each other, and
write up their results and conclusions.
This experience drives the rest of the course, and shapes the content
and approach of the text and the classroom activities.
Pedagogy
We concentrate on LEARNING rather than on teaching. We provide a wide
range of classroom and lab activities that will help students construct
the mathematical knowledge they need. These activities include
data-gathering experiments,
model formulation and fitting,
development of solution methods, and
comparison of results with the original problem.
Course format
Our recommended format is three 50-minute periods per week in a classroom
with demonstration computer or calculator projection, plus one 2-hour lab
period in which each team has its own computer or individual graphing calculators.
There are many variations of this format at schools that have used our
materials. At Duke, maximum section size is 32 (eight 4-person teams).
Each lab team submits a written report almost every week. Three reports
per semester are formal submission, instructor review, resubmission for
a grade. The others are fill-in-the-paragraph reports, often finished in
the lab period, and submitted only once. Classroom teams work on a variety
of projects that don't require technology beyond their calculators, but
that often would be too difficult for individuals to do alone. Homework
is assigned to individuals, typically collected and graded a week at a
time.
Lab versions
Houghton
Mifflin Co. has published laboratory manuals and supporting computer files
for the following technologies:
Maple
Mathcad
Mathematica
Derive
TI82/TI85
HP48G/GX
A Mathwright version is available on the Web from the Mathwright
Library. Web-based versions are in development by the Connected
Curriculum Project. Additional hardware/software platforms are under consideration,
and offers to convert to other platforms are welcome. |
This course studies basic properties and applications of matrices and vectors. Then, matrices and vectors will be used in a variety of applications, including solving word problems involving systems of linear equations, investigating Markov chains, and analyzing transformations of objects on the screen in computer graphics. Students in this course will be required to have a graphing calculator that can perform standard matrix operations. |
Math study guide_3_periodDocument Transcript
Math Study Guide • From the Algebra BookLessons1.5 Equations and Inequalities1.6 Verbal Models and Algebraic Models2.1 The Real Number Line2.2 Addition of Real Numbers2.3 Subtraction of Real Numbers2.5 Multiplication of Real Numbers2.6 Distributive Property2.7 Division of Real Numbers3.1 Solving Equations Using One Transformation3.2 Solving Equations Using Two or More transformations.Problem Solving using Equations (lessons 3.1 and 3.2) • Fractal BookPages: 124 to 129. • Binary System • Number Line • Vocabulary Words seen during the PeriodStudy from quizzes, notes, workbook pages, and blog: |
engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at less |
the foundation and a good understanding leads most students to a successful outcome and strong confidence in future courses. It covers the basic skills of linear and quadratic functions but also shows applications that need to be covered and not feared! It is a new language and yet based on our arithmetic |
Product Synopsis
Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author |
...I have been commended for breaking down computer concepts into different analogy/metaphor/language examples that my students can understand. Differential Equations have been at the heart of what I do for a living in the Space business. Motion of bodies in space requires modeling of the physics in first- and second-order Diff Eqs and numerical solution and simulation |
Thanks. Pre-algebra is a class that prepares students to the study of algebra. In Pre-algebra I will teach integers, fractions, decimals and negative numbers, Factorization of natural numbers, Simple roots and powers, Rules of evaluation of expressions, such as operator precedence and use of pa |
EveryDay Science Math Expectations
The math requirements for acceptance at Rivier College are two years of algebra and a year of geometry. Some sections of this course require basic arithmetic and basic algebra skills as reviewed below.
1. You should be able to do normal arithmetic calculations, know the order of operations, understand scientific notation and be able to do the calculations in the microsoft calculator or a hand held calculator:
(10)(5)/(2) = 25
10 + 5/2 = 12.5
(10 + 5)/2 = 7.5
(4)(3)/[(2)(2)] = 3
2 x 102 = 2 x 100 = 200
2 x 10-2 = 2/100 = 0.02
(2 x 102)(3 x 10-2) = 6
(4 x 102) + (2 x 102) = 6 x 10²
(3 x 102) + (4 x 103) = 4.3 x 103
Note: The same as 300 + 4000 = 4300
Etc.
2. You should be able to solve for an unknown in an equation:
6 = 2x; x = 6/2 = 3
x + 10 = 8; x = 8 - 10 = -2
2(2 + x) = 6; 2 + x = 6/2; x = 6/2 - 2 = 1
(4 + x)/2 = 4.5; 4 + x = (2)(4.5); x = (2)(4.5) - 4 = 5
d = m/V; m = dV and V = m/d
2x + (0.5)(6) = 5; 2x = 5 - (0.5)(6); x = [5 - (0.5)(6)]/2 = 1
32 = 2x²; x² = 32/2; x =(32/2)½ = 4 (or -4)
(A number raised to the ½ is the same as the square root of the number.) |
MTHS 632
Linear Algebra through Geometry
Fieldsteel,Adam
01/24/2005 - 05/07/2005
Wednesday -
Special Schedule: July 4th Holiday makeup class will be held Friday, July 8 from 9:00-12:00
Linear algebra is a subject with a dual nature; the central ideas are both algebraic and geometric. While the power of the subject comes from the algebra, the ideas are perhaps best understood by emphasizing their geometric content, which is the geometry of lines, planes, and their higher dimensional analogues.
In this course, we will develop the subject first in two dimensions, where the geometry and algebra are simplest, and then in three dimensions, where it is still possible to visualize the geometry. Once the subject is understood in these settings, we will see how (and how easily) the subject extends to higher dimensions. In particular, we will see how the algebra we develop with the aid of geometry can then be used to investigate geometric objects that we are unable to visualize.
Regular homework will be assigned and will be an essential part of the learning process.
No mathematical background is required beyond high school algebra and geometry |
books.google.com - This book offers a concrete and accessible treatment of Euclidean, projective and hyperbolic geometry, with more stress on topological aspects than is found in most textbooks. The author's purpose is to introduce students to geometry on the basis of elementary concepts in linear algebra, group theory,... on Geometry |
Geometric transformations in middle school mathematics textbooks
ProQuest Dissertations and Theses,
2011
Dissertation
Author:
Barbara Zorin
Abstract:
Figure 24. Level of Cognitive Demand Required by Students on Transformation Exercises in Each Textbook 133
Figure 25. Total Number of the Four Transformation Exercises in Each Textbook Series 141
Figure 26. Percent of Levels of Cognitive Demand in Student Exercises in each Textbook Series 143
xii
Abstract This
xiii as working a problem backwards, were found on few occurrences across all textbooks examined. The level of cognitive demand required for student exercises predominately occurred in the Lower-Level,1
Chapter 1: Introduction and Rationale for the Study The branch of mathematics that has the closest relationship to the world around us, as well as the space in which we live is geometry (Clements & Samara, 2007; Leitzel, 1991; National Council of Teachers of Mathematics (NCTM), 1989). Furthermore, geometry is a vehicle by which we develop an understanding of space that is necessary for comprehending, interpreting, and appreciating our inherently geometric world (NCTM, 1989). Spatial geometry provides us with the knowledge to understand (Leitzel, 1991) and interpret our physical environment (Clements, 1998; NCTM, 1992); this knowledge provides us with intellectual instruments to sort, classify, draw (NCTM, 1992), use measurements, read maps, plan routes (NCTM, 2000), create works of art (Clements, Battista, Sarama & Swaminathan, 1997; NCTM, 2000), design plans, and build models (NCTM, 1992). Spatial geometry also provides us with the knowledge necessary for engineering (NCTM, 2000) and building (Clements, Battista, Sarama & Swaminathan, 1997), in addition to the aptitude to develop logical thinking abilities, creatively solve problems (NCTM, 1992), and design advanced technological settings and computer animations (Clements et al, 1997; Yates, 1988). Additionally, spatial geometry helps us understand and strengthen other areas of mathematics as well as provides us with the tools necessary for the study of other subjects (Boulter & Kirby, 1994). Spatial geometry includes the contemporary study of form, shape, size, pattern, and design. Spatial reasoning concentrates on the mental representation and manipulation
2 of spatial objects. Geometry is described by Clements and Battista (1992) and Usiskin (1987) as having four conceptual aspects. The first conceptual aspect is visualization, depiction, and construction; this conception focuses on visualization, sequence of patterns, and physical drawings. The second aspect is the study of the physical situations presented in the real world that direct the learner to geometric concepts, as a carpenter squaring a framing wall with the use of the Pythagorean Theorem. The third aspect provides representations for the non-physical or non-visual, as with the use of the number line to represent real numbers. The fourth aspect is a representation of the mathematical system with its logical organization, justifications, and proofs. The first three conceptual aspects of geometry necessitate the use of spatial sense, which can be learned and reinforced during the study of geometric transformations. The study of transformations supports the interpretation and description of our physical environment as well as provides us with a valuable tool in problem solving in many areas of mathematics and in real world situations (NCTM, 2000). The study of geometric transformations begins with the student"s journey into the understanding of visualization, mental manipulation, and spatial orientation with regard to figures and objects. Through the study of transformations, Clements and Battista (1992) and Leitzel (1991) assert that students develop spatial visualization and the ability to mentally transform two dimensional images. Two dimensional transformations are an important topic for all students to study and the recommendation is that all middle grades students study transformations (NCTM, 1989, 2000, 2006). The study of geometry with transformations has enhanced geometry to a dynamic level by providing the student with a powerful problem-solving tool (NCTM, 1989).
3 Spatial reasoning and spatial visualization through transformations help us build and manipulate mental representations of two dimensional objects (NCTM, 2000). Students need to investigate shapes, including their components, attributes, and transformations. Additionally, students need to have the opportunity to engage in systematic explorations with two dimensional figures including representations of their physical motion (Clements, Battista, Sarama, & Swaminathan, 1997). Geometric transformations, for middle school students, are composed of five basic concepts: translations (slides), reflections (flips or mirror images), rotations (turns), dilations (size changes), and the composite transformation of two or more of the first three (Wesslen & Fernandez, 2005). Transformation concepts provide background knowledge to develop new perspectives in visualization skills to illuminate the concepts of congruence and similarity in the development of spatial sense (NCTM, 1989). Spatial reasoning, including spatial orientation and spatial visualization, is an aptitude that directly relates to an individual"s mathematical ability (Brown & Wheatley, 1989; Clements & Sarama, 2007). It also directly influences success in subsequent geometry coursework and general mathematics achievement, which, in turn, directly affects the student"s future career options (Ma & Wilkins, 2007; NCTM, 1989). Research suggests that students should have a functioning knowledge of geometric transformations by the end of eighth grade in order to be successful in higher level mathematics studies (Carraher & Schlieman, 2007; Flanders, 1987; Ina-Wilkins, 2007; Ladson-Billings, 1998; Knuth, Stephens, McNeil, & Alibali, 2006; National Assessment of Educational Progress (NAEP), 2004; NCTM, 2000; National Research Council (NRC), 1998). However, the academic performance of United States students in
4 geometry, and more specifically in spatial reasoning, is particularly low (Battista, 2007; Silver, 1998; Sowder, Wearne, Martin, & Strutchens, 2004). Because of long standing concerns about student achievement, recommendations by major national mathematics and professional educational organizations, such as the NCTM, the National Commission on Excellence in Education, and the NRC, call for essential alterations in school mathematics curricula, instruction, teaching, and assessment (NCTM, 1989, 1991, 1992, 1995, 2000, 2006; NRC, 1998). In particular, the NCTM published three milestone documents which developed mathematics curriculum standards for grades K - 12 that focused on school mathematics reform. The Curriculum and Evaluations Standards (NCTM, 1989) includes a vision for the teaching and learning of school mathematics, including a vision of mathematical literacy. This document also includes recommendations for the study of transformations of geometric figures to enhance the development of spatial sense for all students. The document"s recommendations suggest that students should have an opportunity to study two dimensional figures through visualization and exploration of transformations. NCTM revised and updated the Standards with its publication of the Principles and Standards for School Mathematics (PSSM) (NCTM, 2000). This document extends the previous recommendations by providing clarification and elaboration on the curricula described, as well as specifically identifying expectations for each grade band: preK-2, 3- 5, 6-8 and 9-12. PSSM offers specific content guidelines for all students, and examples for teaching, as well as specific principles and features to assist students in attaining high quality mathematics understanding. The expectations for students are delineated in each of the mathematical strands. For example, in the PK - 2 grade band, PSSM recommends
5 that students should be able to recognize symmetry and geometric transformations of figures with the use of manipulatives; in grades 3-5, students should be able to predict and describe the results of geometric transformations and recognize line and rotational symmetry. In the 6 - 8 grade band, PSSM recommends that students should apply transformations; describe size, positions and orientations of geometric shapes under slides, flips, turns, and scaling; identify the center of rotation and line of symmetry; and examine similarity and congruence of these figures. The Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics: A Quest for Coherence (Focal Points) (NCTM, 2006) further extended the recommended standards and delineated a coherent progression of concepts and expectations for students with descriptions of the most significant content for curriculum focus within each grade level from pre-kindergarten through grade eight. Focal Points extends the mathematics ideals set forth in the PSSM by targeting curriculum content and by providing resources that support the development of a coherent curriculum (Fennell, 2006). The Focal Points document reinforces the need for students to discuss their thinking, to use multiple representations that bring out mathematical connections, and to use problem solving in the process of learning. Of these milestone documents, PSSM (2000) offers the most specific and delineated recommendations for school mathematics content. Sufficient time has passed since the publication of PSSM to expect to observe substantial alignment to the recommended content in published textbooks. The NCTM (1989) stated that they expected the standards to be reflected in textbook content and that the standards should also be used as criteria for analyzing textbook content.
6 The PSSM (NCTM, 2000) can only be put into practice when its recommendations can be implemented. Hiebert and Grouws (2007) emphasize that the most important factor in student achievement is opportunity to learn, and one criterion for student opportunity to learn is the expectation that the prescribed curriculum standards be reflected within textbook contents (NCTM, 1989). The textbook is an influential factor on student learning (Begle, 1973; Grouws et al., 2004; Schmidt et al., 2001; Valverde et al., 2002), and it represents a variable that can be easily manipulated. On Evaluating Curricular Effectiveness: Judging the Quality of K-12 Mathematics Evaluations (National Research Council, 2004) suggests that curriculum evaluation should begin with content analyses. Confrey (2006) affirms that content analysis is a critical element in the link between standards and the effectiveness of the curriculum. Textbook content analysis typically focuses on specific characteristics of the textbooks" content. Of the various characteristics analyzed, opportunity to learn and levels of cognitive demand are frequently used as measurements of the potential effectiveness of the reviewed materials. Both the characteristics, opportunity to learn, and levels of cognitive demand, are discussed in the next section. Opportunity to Learn and Levels of Cognitive Demand Tornroos (2005) describes the intended curriculum as the goals and objectives that are set down in curriculum documents; the curriculum documents most frequently used in the classroom are textbooks. An important contributing factor in learning outcomes is the opportunity to learn (OTL) based on textbook content (Tornroos, 2005). Tornroos found a high correlation between an item level analysis and student performance on the Third International Mathematics and Science Study (1999) and
7 suggested that content analysis of textbooks would be valuable when looking for justification for different student achievement in mathematics. Schmidt (2002) suggested that differences in student opportunity to learn did not suddenly appear in the eighth grade level, but rather in earlier grades, and that differences in curriculum diversity, to a large degree, cost student achievement exceedingly. Tarr, Reys, Barker, and Billstein (2006) report that it is crucial to identify and select textbooks that present critical features of mathematics that support student learning and assist teachers in helping students to learn. Tarr et al. describe the critical features of providing support, focus, and direction in the mathematics textbook and they call for the analysis of content emphasis within a textbook and across the span of textbooks within a series. Opportunity to learn can be studied in various ways as indicated above, and OTL can have a variety of meanings. Although Tornroos and Schmidt considered the relationship of OTL to test performance, Floden (2002) determined the opportunity to learn by the emphasis a topic receives in the written materials in the form of textbooks since they are the form used by the student. This study takes a somewhat broader view and considers opportunity to learn not only by the amount of emphasis a mathematical concept receives in student textbooks but also by the nature of lesson presentations, types of tasks presented for student activity, and the level of cognitive demand required by students to complete tasks. The NCTM set forth ideals for mathematics with recommendations for the teaching and learning of worthwhile tasks, including expectations that students will develop problem solving skills and critical thinking abilities. The PSSM (NCTM, 2000) document describes the necessity for learning mathematics content through meaningful
8 activities that focus on the Process Standards: problem solving, reasoning and proof, communications, connections, and representations. The mathematical tasks that students experience are central to learning because "tasks convey messages about what mathematics is and what doing mathematics entails" (NCTM, 1991, p. 24). Tasks need to provide an opportunity for the student to be active (Henningsen & Stein, 1997) and provoke thought and reasoning in complex and meaningful ways as categorized by Stein and Smith (1998). The results reported in Stein and Lane (1996) suggest, that in order for students to develop the capacity to think, reason, and problem solve in mathematics, it is important to start with high-level, cognitively complex tasks. Some of the high-level cognitive demand tasks include: exploring patterns (Henningsen & Stein, 1997) thinking and reasoning in flexible ways (Henningsen & Stein, 1997; Silver & Stein, 1996) communicating and explaining mathematical ideas (Henningsen & Stein, 1997; Silver & Stein, 1996) conjecturing, generalizing, and justifying strategies while making conclusions (Henningsen & Stein, 1997, Silver & Stein, 1996) interpreting and framing mathematical problems (Silver & Stein, 1996) making connections to construct and develop understanding (Silver & Stein, 1996; Stein & Smith 1998). A major finding of Stein and Lane (1996) and Smith and Stein (1998) was that the largest learning gains on mathematics assessments were from students who were engaged
9 in tasks with high levels of cognitive demand. Thus, the key to improving the performance of students was to engage them in more cognitively demanding activities (Boston & Smith, 2009) and hence provide the foundation for mathematical learning (Henningsen & Stein, 1997; Stein & Smith, 1998). Different types of tasks require higher levels of cognitive demands through active reasoning processes and the higher level demand tasks require students to think conceptually while providing a different set of opportunities for student cognition (Stein & Smith, 1998). Hence, students need to have the opportunity to learn worthwhile mathematical concepts, and be immersed in their mathematical studies with cognitively demanding tasks. NCTM (1989) stated "let it be understood that we hold no illusions of immediate reform" (p. 255), but they held the vision of having classroom materials, such as textbooks, produced so that standards would be aligned and in-depth learning take place. Yet, since the initial publication of the Standards, little has been done to analyze textbook contents. Because students do not learn what they are not taught (Tornroos, 2005), it is essential to examine the extent to which mathematical topics are presented in textbooks. Clements (1998) indicates it is essential to examine the extent to which middle school mathematics textbooks attend to the development of the concept of transformations in available instruction and in mathematics research. If there is a barrier to students in "opportunity to learn" which prevents them from attaining the full benefits from the Standards, educators need to address what can be done to eliminate the barriers; one way to know if a problem exists due to the lack of included content is to analyze the content of textbooks. With the inception of this study a pilot investigation was enacted to analyze the
10 extent and treatment of geometric transformations lessons in two middle grades textbooks to discern if sufficient differences in the curricula were present (Appendix A). The results suggested that an analysis of a larger variety of textbooks was a worthwhile endeavor, and hence this study was implemented. Statement of the Problem Research indicates that students have difficulties in understanding the concepts and variations in performing transformations (Clements & Battista, 1998; Clements, Battista, & Sarama, 1998; Clements & Burns, 2000; Clements, Battista, Sarama, & Swaminathan, 1996; Kieran, 1986; Magina & Hoyles, 1997; Mitchelmore, 1998; Olson, Zenigami & Okzaki, 2008; Rollick, 2009; Soon, 1989). Given recommendations from the mathematics education community about the inclusion of transformations in the middle grades curriculum, we might expect to observe the concepts in published textbooks; hence, there is a need to analyze contents. However, few examinations of the contents within textbooks have been found with respect to the alignment or development of mathematics concepts with current recommendations (Mesa, 2004), and none have been found to focus on the analysis of presentations and opportunity to learn for the study of geometric transformations. Because textbooks are the prime source of curriculum materials on which the student can depend for written instruction (Begle, 1973; Grouws et al., 2004; Schmidt et al., 2001; Valverde et al., 2002), the nature of the treatment of these concepts needs to be examined to insure that students are provided appropriate opportunities to learn. As a result there emerges a need to analyze the treatment of geometric transformations in middle school mathematics textbooks. This study examined the nature and treatment of
11 geometric transformations through the analysis of published middle grades textbooks in use in the United States. The textbooks chosen included publisher generated textbooks, curriculum project-developed textbooks, and National Science Foundation (NSF) funded curriculum materials; it was assumed that these textbook types would likely present the concepts differently. The lesson concepts were analyzed in terms of content of the narrative, examples offered for student study, number and types of student exercises, and the level of cognitive demand expected by student exercises. Additionally, this investigation addressed the possible changes of focus in the progression of content from grade six through grade eight. The Purpose of the Study This study had three foci: 1) to analyze the characteristics and nature of geometric transformation lessons in middle grades textbooks to determine the extent to which these textbooks provide students the potential opportunity to learn transformations as recommended in the curriculum standards; 2) to describe the content of geometric transformation lessons to identify the components of those lessons, including how they are sequenced within a series of textbooks from grades 6 through grade 8 and across different publishers; 3) to determine if student exercises included with the transformation lessons facilitate student achievement by the inclusion of processes that encourage conceptual understanding with performance expectations. Four types of middle school transformations were examined: the three rigid transformations and their composites (translations, reflections, and rotations), where rigid refers to the preimage figure and resulting image figure being congruent; and dilation where figures are either enlarged or shrunk. The sections of student exercises that follow
Full document contains 282 pages
Abstract: |
Algebra I Unit 10 (Pace 1106)
In Algebra I Unit 10, students will learn solve word problems involving averages, percents, interest, perimeter, area and volume of geometric figures, monetary value, two-digit numerals, and bodies in motion. The character trait is temperance. This unit is one unit in a series of twelve colorful independent study mastery-based units of instruction and includes direct instruction to the student as well as all necessary quizzes and tests.
Throughout the twelve Algebra I Paces your student will:
Learn basic algebraic concepts (definitions, signs, and expressions), introduced in a carefully structured way to make the learning material understandable.
Learn principles for logically solving, transposing, and canceling algebraic equations.
Work with monomial and polynomial expressions.
Work with algebraic addition, subtraction, multiplication, and division.
Work with complex fractions: reducing, simplifying, and solving word problems.
Learn algebraic graphing-linear equations, consistent, inconsistent, and dependent in word problems.
Encounter quadratic equations, factoring, positive and negative numbers, averages, percents, interest, ratios, and proportions, and translate word problems to algebraic equations.
Learn and implement the Pythagorean theorem.
*Twelve DVDs reinforce this course. |
The perfect book for mastering all the essentials of college algebra, with coverage of: the coordinate plane, circles, lines and intercepts, parabolas, nonlinear equations, functions, graphs of functions, exponents and logarithms, and more You'll be able to learn more in less time, evaluate your areas of strength and weakness and reinforce your... more...
Take the FEAR OUT of Business Calculus
Business Calculus Demystified clarifies the concepts and processes of calculus and demonstrates their applications to the workplace. Best-selling math author Rhonda Huettenmueller uses the same combination of winning step-by-step teaching techniques and real-world business and mathematical examples that... more...
Pre-Calculus Demystified leads the reader through all the intricacies and requirements of this essential course Whether you need to pass a class, a college requirement, or get a leg up on more advanced topics, this book provides clear explanation with a wealth of questions, answers and practical examples. Packed with practical examples, graphs,... more...
Your step-by-step solution to mastering precalculus
Understanding precalculus often opens the door to learning more advanced and practical math subjects, and can also help satisfy college requisites. Precalculus Demystified , Second Edition, is your key to mastering this sometimes tricky subject.
This self-teaching guide presents general... more...
Don't let quadratic equations make you irrational
If you are absolutely confused by absolute value equations, or you think parabolas are short moral
stories, College Algebra DeMYSTiFied , Second Edition is your solution to mastering the topic's concepts and theories at your own pace. This thoroughly revised and updated guide eases you into... more... |
Graphs and Digraphs - 5th edition
Summary: Written for advanced undergraduate and beginning graduate students, the fifth edition of this best-selling book provides a wide range of new examples along with historical discussions of mathematicians, problems, and conjectures. It features new and expanded coverage of such topics as toughness, graph minors, perfect graphs, list colorings, nowhere zero flows, list edge colorings, the road coloring problem, and the rainbow number of a graph. Additional applications, exercises, and ex...show moreamples illustrate the concepts and theorems. A solutions manual is available for qualifying instructors. ...show less
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Learn GCSE Maths on your Smartphone
GCSE Maths receipt International Bestselling book on Vedic Mathematics which will help you do calculations and solve complicated math questions in a matter of a few seconds. Extremely helpful for students giving GMAT, GRE, CAT, SAT, CET and other entrance exams. Over 150,000 copies sold in 14 languages worldwide
Not a C Minus is a comprehensive study aid for senior high school Mathematics. It covers topics such as calculus, probability, finance and trigonometry, and uses a conversational, informal teaching style. Every topic is explained in detail, with sample questions and worked solutions. |
More About
This Textbook
Overview
Basic treatment, incorporating language of abstract algebra and a history of the discipline. Topics include unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, more. Includes many problems. Bibliography. Advanced undergraduate-beginning graduate-level. 1977 17, 2000
Lord of the Rings Modulo Z
LeVeque covers certain topics in great detail, and others can be quite vague. One must have prior knowledge on modular aritmetic in order to get started with this text. The Euclidean Algorithm is explained from origins to applicability in nearly every single proof. LeVeque's best feature is in descripitons of Rings in modulus Z and their respecive domains and their respective theorems, congruences, etc. If you are weak in this area I recommend this text for that area of Number Theory.
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged. |
Calculus for Business, Economics, Life Sciences and Social Sciences, Books a la Carte Edition, 12th Edition
Description
This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value–this format costs significantly less than a new textbook.
This accessible text is designed to help readers help themselves to excel. The content is organized into two parts: (1) A Library of Elementary Functions (Chapters 1—2) and (2) Calculus (Chapters 3—9). The book's overall approach, refined by the authors' experience with large sections of college freshmen, addresses the challenges of teaching and learning when readers' prerequisite knowledge varies greatly. Reader-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today's students and instructors.
Table of Contents
Part One: A Library of Elementary Functions
Chapter 1: Linear Equations and Graphs
1-1 Linear Equations and Inequalities
1-2 Graphs and Lines
1-3 Linear Regression
1-4 Quadratic Functions
Chapter 1 Review
Review Exercise
Chapter 2: Functions and Graphs
2-1 Functions
2-2 Elementary Functions: Graphs and Transformations
2-3 Quadratic Functions
2-4 Polynomial and Rational Functions
2-5 Exponential Functions
2-6 Logarithmic Functions
Chapter 2 Review
Review Exercise
Part Two: Calculus
Chapter 3: Limits and the Derivative
3-1 Introduction to Limits
3-2 Infinite Limits and Limits at Infinity
3-3 Continuity
3-4 The Derivative
3-5 Basic Differentiation Properties
3-6 Differentials
3-7 Marginal Analysis in Business and Economics
Chapter 3 Review
Review Exercise
Chapter 4: Additional Derivative Topics
4-1 The Constant e and Continuous Compound Interest
4-2 Derivatives of Exponential and Logarithmic Functions
4-3 Derivatives of Products and Quotients
4-4 The Chain Rule
4-5 Implicit Differentiation
4-6 Related Rates
4-7 Elasticity of Demand
Chapter 4 Review
Review Exercise
Chapter 5: Graphing and Optimization
5-1 First Derivative and Graphs
5-2 Second Derivative and Graphs
5-3 L'Hopital's Rule
5-4 Curve Sketching Techniques
5-5 Absolute Maxima and Minima
5-6 Optimization
Chapter 5 Review
Review Exercise
Chapter 6: Integration
6-1 Antiderivatives and Indefinite Integrals
6-2 Integration by Substitution
6-3 Differential Equations; Growth and Decay
6-4 The Definite Integral
6-5 The Fundamental Theorem of Calculus
Chapter 6 Review
Review Exercise
Chapter 7: Additional Integration Topics
7-1 Area Between Curves
7-2 Applications in Business and Economics
7-3 Integration by Parts
7-4 Integration Using Tables
Chapter 7 Review
Review Exercise
Chapter 8: Multivariable Calculus
8-1 Functions of Several Variables
8-2 Partial Derivatives
8-3 Maxima and Minima
8-4 Maxima and Minima Using Lagrange Multipliers
8-5 Method of Least Squares
8-6 Double Integrals Over Rectangular Regions
8-7 Double Integrals Over More General Regions
Chapter 8 Review
Review Exercise
Chapter 9: Trigonometric Functions
9-1 Trigonometric Functions Review
9-2 Derivatives of Trigonometric Functions
9-3 Integration of Trigonometric Functions
Chapter 9 Review
Review Exercise
Appendixes
Appendix A: Basic Algebra Review
Self-Test on Basic Algebra
A-1 Algebra and Real Numbers
A-2 Operations on Polynomials
A-3 Factoring Polynomials
A-4 Operations on Rational Expressions
A-5 Integer Exponents and Scientific Notation
A-6 Rational Exponents and Radicals
A-7 Quadratic Equations
Appendix B: Special Topics
B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 Binomial Theorem
Appendix C: Tables
Table I Basic Geometric Formulas
Table II Integration Formulas
Answers
Index
Applications Index
A Library of Elementary Functions
This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course. |
The DIVE into Math multimedia supplement to the Saxon math series is a highly successful program.
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Years of experience developing and producing excellent math instruction CDs for every level of Saxon math from Math 54 through Calculus, including many older editions of the texts.
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A supplemental compact disc that is designed to be used in conjunction with Saxon's Algebra 1/2 - 2nd edition textbook. Includes lectures and visual instruction for each and every Saxon lesson. ...
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For use with Saxon Algebra 2, 2nd edition textbook. Includes lectures and visual instruction for each and every Saxon lesson. Graphical solutions of simultaneous equations; scientific notation;...
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A supplemental CD that may be used in conjunction with the Saxon Calculus, (1st edition) text. Includes lectures and visual instruction for each and every Saxon lesson. Covers all material...
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Follows Saxon Calculus, 2nd edition text. Includes lectures and visual instruction for each and every Saxon lesson. Covers all material on the Advanced Placement (AP) Calculus AB exam, and some of...
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A supplemental compact disc that may be used in conjunction with the Saxon Physics, 1st edition text. Includes lectures and visual instruction for each and every Saxon lesson. The student...
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This interactive technical note allows the student to understand several important financial concepts such as the present value, the future value, interest and time amongst others. It also shows the relationship between these concepts and how to calculate them.In order to reach this goal; There are some charts available with definitions and equations, interactive graphs and exercises. To obtain a successful result; we suggest reading first the paper based technical note.
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According to OER Commons, "This book is about how to use OpenOffice Writer to create large and complex documents. It explains how Writer organises text into paragraphs and pages and shows how styles and formatting control the appearance of the document. It discusses how to create headings, tables, figures, frames and mathematical expression. It discusses how to handle citation and referencing in the three common styles, and shows how to create tables of contents and indices.״
This is a free textbook offered by BookBoon.'Have you ever thought that you would be able to learn algebra if only you had a...
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A collection of over 1,000 journal title citations with links to the full text by subscription only. ScienceDirect focuses predominantly on science, technology, and medicine, but mathematics, economics and other dsiciplines are represented. Some citations in French. For more information about Science Direct go to: |
Description
This app is a free mathematical calculator which is able to generate prime numbers. Just enter two numbers and the program calculates all the primes in that interval.
The best math tool for school and college! If you are a student, it will helps you to learn prime numbers.
Note: A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Any integer greater than 1 can be expressed as a product of primes that is unique up to ordering |
Complex Analysis
9780387950693
ISBN:
0387950699
Pub Date: 2001 Publisher: Springer Verlag
Summary: The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The first part comprises the basic core of a course in complex analysis for junior and senior undergraduates. The second part includes various more specialized topics as the argument principle the Poisson integral, and the Riemann mapping theorem. The third part consists of a selection of to...pics designed to complete the coverage of all background necessary for passing Ph.D. qualifying exams in complex analysis.
Gamelin, Theodore W. is the author of Complex Analysis, published 2001 under ISBN 9780387950693 and 0387950699. Four hundred twenty two Complex Analysis textbooks are available for sale on ValoreBooks.com, one hundred four used from the cheapest price of $44.49, or buy new starting at $49.65 |
The New Mathwright Library is a free collection of more than 110 interactive mathematics and science books.
The New Mathwright Library is a free collection of more than 110 interactive mathematics and science books. These electronic books, developed by math and science teachers (and students), have been used in Web-based mathematics courses taught at universities and secondary schools. Students can learn math in a practical and entertaining way, for example, by piloting a virtual lunar lander which illustrates principles of integral and differential calculus in the course of making a safe landing on the moon. The books are created with a mathematics authoring program called Mathwright. Users must register and download aæfree reader program, the Mathwright Library Player, and then can download and use the books |
More About
This Textbook
Overview
Maple: An Introduction and Reference offers a practical and accessible introduction to the latest version of this very popular computer algebra system. The bookIs clear structure, which features syntax summaries at the end of each chapter, makes it ideal as both a text- and reference book.
Following a straightforward introduction to Maple, all the important applications of the computer algebra system are covered, including simplification of mathematical expressions, equation solving, differentiation and integration, Fourier and Laplace transformations, and vector analysis.
Features
contains hundreds of examples
extensive coverage of graphics, with more than 200 illustrations
includes an introduction to programming
common error and survival sections help avoid the usual pitfalls
CD-ROM included, containing all the examples in the book, the Windows program MaplePS, which converts Maple graphics files into a format suitable for importing into any word processing program, and demo versions of Maple serving Macintosh, Windows and Unix platforms |
More About
This Textbook
Overview
This book's organizing principle is the interplay between groups and rings, where "rings" includes the ideas of modules. It contains basic definitions, complete and clear theorems (the first with brief sketches of proofs), and gives attention to the topics of algebraic geometry, computers, homology, and representations. More than merely a succession of definition-theorem-proofs, this text put results and ideas in context so that students can appreciate why a certain topic is being studied, and where definitions originate.
Related Subjects
Read an Excerptbeginning spectralPreface beginning spectral |
A 1-or-2 day advanced Matlabcourse. You will learn: when to profile, when not to bother how to determine the most effective optimization route trade-offs of program performance how to profile Matlab programs to ...
the MATLAB software package. This course has the purpose of assisting freshman engineering students with concepts of an engineering based computer programming environment. MATLAB will be used in support of the final design project to calculate
MATLAB Basics MATLAB numbers and numeric formats All numerical variables are stored in MATLAB in double precision floating-point form. ... Of course very long vectors may have two negative effects: Computing times are likely to rise dramatically, and
Course Information Friday, Aug. 24, 3:00pm-5:00 pm Location: Barnhart 246 Course Description Intended for students with little or no experience with the software, Introduction to MATLAB is a short course covering its basic operations and features. In addition, ...
COURSE COORDINATOR: Mr. Joshua Finch, M.S., Department of Materials Science and ... • How to solve engineering problems using MatlabCourse content is introduced in the weekly lectures. Homework will be discussed in the weekly recitations.
matlab can be entered in a le, called an 'm- le', which you save with an (appropriate) name and the su x '.m'. After the le is saved, typing its name (without the '.m') on the command line tells matlab to perform the sequence of commands listed in the le.
1 Introduction 1.1 What is MATLAB ? Programming assignments in this course will almost exclusively be performed in MATLAB , a widely-used environment for technical computing with a focus on matrix operations. |
Summary: From the Core-Plus Mathematics ProjectMathematics That Makes Sense to More StudentsThis innovative program engages students in investigation-based, multi-day lessons organized around big ideas. Important mathematical concepts are developed in relevant contexts by students in ways that make sense to them. Students in ''Contemporary Mathematics in Context work collaboratively, often using graphing calculators, so more students than ever before are able to learn important and broadly us...show moreeful mathematics. Courses 1, 2, and 3 comprise a core curriculum that will upgrade the mathematics experience for all your students. Course 4 is designed for all college-bound students.Research-Based and Classroom-TestedDeveloped with funding from the National Science Foundation, each course in ''Contemporary Mathematics in Context is the product of a four-year research, development, and evaluation process involving thousands of students in schools across the country. The result is a program rich in modern content organized to make active student learning a daily occurrence in your classroom99 +$3.99 s/h
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Borgasorus Books, Inc. MO Wentzville, MO
Hardcover Good 0078275458VeryGood
Booksavers MD Hagerstown, MD
2002 Hardcover Very good MULTIPLE COPIES available. An excellent copy with clean pages that are free of writing. Book only-does not include additional resources. Booksavers receives donated books ...show moreand |
ving word problems has never been easier than with Schaum's How to Solve Word Problems in Algebra! This popular study guide shows students easy ways to solve what they struggle with most in algebra: word problems. How to Solve Word Problems in Algebra, Second Edition, is ideal for anyone who wants to master these skills. Completely updated, with contemporary language and examples, features solution methods that are easy to learn and remember, plus a self-test. |
The first part of the mathematical solution explains how to express an algebraic fraction in partial fractions. The fraction used is a straight forward example solves by equating coefficients to obtain two simultaneous equations. The second part of the video uses the result of the first part of question in order to find the value…
The mathematical solution explains how to find the volume of revolution generated by the curve y=xex between the limits of x=0.5 to x=4 by using integration by parts. The explanation explains, with the aid of a graph, how the volume is found and explains clearly the equation to be integrated. The solution is further complicated by…
The mathematical solution explains how to solve the equation:
6 cos2x +7sinx = 8 for x between 0 and 4π radians.
The equation is rearranged to make the equation6 cos2x +7sinx - 8 = 0 then the identity sin2 x + cos2x ≡1 used to form a quadratic equation in one variable. The quadratic formed can be factorised and solved…
The mathematical solution explains how to solve the equation:
sin(x+150) = 1/√2 for x between 0⁰ and 360⁰.
To begin with, the principle values for (x+150) are found. The fact that a sine curve is periodic is used to find the solution set for (x+150) based upon these two initial values. Subtracting 150 from each member…
This video is a message to ESERO-UK from European Space Agency astronaut Tim Peake. He talks about studying STEM subjects and how he became an astronaut. The video includes images of a launch, Tim engaging in various astronaut training exercises and the International Space Station, where Tim will be for six months from December…
This film shows how to carry out a dissection of a sheep pluck, showing the relative positions of the trachea, lungs and heart. This dissection focuses on the function of the breathing system, and a description is provided in the teachers' notes of how to inflate one of the lobes in the lungs via an incision made in the trachea.
This chapter from the Linear Assessment ibook focuses on strengthening literacy in science. The activities allow teachers to:
• Analyse command words
• Develop the use of talk to support science learning and independence
• Develop the use of reading to support science learning
• Develop the use of writing…
This chapter from the Linear Assessment ibook focuses on developing learning in science. The activities allow teachers to:
• Plan for effective learning
• Develop interactive practical work
• Reflect on the essential role of assessment for learning in effective teaching
• Explore misconceptions
This iBook,…
The 2013 Institute of Physics Schools Lecture - Defying Gravity: Laura Thomas, an independent science communicator with a background in astrophysics, talks about the physics of space flight. She explains how studying physics and mathematics could help towards a career in space.
Magnets in space: The astronaut, Richard Garriott…
This film documents the mission to create the largest, most-accurate, map of the Milky Way in three dimensions, which will revolutionise our understanding of the galaxy and the universe beyond.
On 19th December 2013, a rocket blasted into the sky from a launch site in French Guiana and travelled 1.5 million km to reach its destination…
This resource looks at cell signalling when the hormone adrenaline binds to receptors on the surface of the target cell. The resource sheets describe how the original hormonal signal is amplified through a cascade reaction.
Supporting videos explain key areas of working scientifically, including developing a hypothesis, controlling…
In this activity, students use what they have found out about community transport systems to suggest possible solutions to existing transportation problems. They watch the film Transportation Planning which focuses on the career of a transportation planner who worked on the London 2012 Olympic games and who is a specialist in sustainable…
In this activity, students work in teams to research an existing or possible future form of community transport. They mark their system against the agreed criteria from the starter and present their findings to the rest of the class.
Students are divided into teams and each is given a different concept for community transport…
In this activity, students are asked to think about current methods of community transport and the associated pros and cons. Their ideas are then used to compile a class list of criteria that future methods of community transport should fulfill. For example, sustainability (materials used to make the transport, the infrastructure…
In this activity, students design and test a model vacuum tube train. They have to decide on how to get a ball to travel through a tube as quickly as possible without the help of gravity. They then look at the forces that would act on a real vacuum tube train.
Using the handout Train forces, students are asked to draw arrows to…
In this activity, students are introduced to Maglev technology as a way of reducing the friction between the tube and the train in a vacuum tube train. Students are presented with the scenario that in 2025, the UK has been invited to invest £100 billion towards the construction of a vacuum tube train system connecting the UK…
In this activity, students use the speed, distance, time equation to calculate how long it takes to travel to destinations around the globe from the UK via today's global transport options. They are then introduced to a new concept to global travel: the vacuum tube train - will this solve some of the problems they identified?…
Many different personal attributes can impact on road safety including a person's vision, ability to concentrate, reaction times and mobility. The car of the future should be designed to help people overcome these issues.
In this activity students design investigations to test reaction times and ability to concentrate when…
In this activity, students are asked to analyse data to work out which form of personal transport is currently the least safe. They then consider what safety features are in use at the moment.
Students brainstorm and rank transport systems in order of safety. They then interpret the data in the Safety Statistics A handout, which…
This video from Teachers TV follows Professor Steve Jones as he introduces a Year Six class to genetic diversity. The practical lesson links to the topics of classification of living things, evolution and inheritance. Children look at the observable similarities and differences between a sample of snails and then at the observable…
Patience Thomson, daughter of William Lawrence Bragg, presents an intimate portrait of her father. From his detailed artworks to his love of detective stories and puzzles, Patience reveals how Lawrence's unique character and analytical mindset led to numerous scientific breakthroughs.
The film describes how he reacted to…
This resource describes a visual way of demonstrating diffusion through a semi-permeable membrane. It can be used as a model for the human gut or for investigating the effect of amylase on starch. Two standard tests are used. The first uses iodine to test for starch and the second test uses Benedict's reagent to test for the… |
The primary objective of the Brookdale Math Club is to foster a community of students around a common interest in mathematics. Club members will have opportunities to apply and improve math skills by participating in math competitions and learning circles. Members will also be able to engage with colleagues in the discipline by attending math conferences and will participate in social gatherings aimed at advancing interactions with their cohort.
The Brookdale Math Club members will learn about interesting careers in math related fields and engage in activities that promote the appreciation and pursuit of mathematics.
The goal at most meetings is to learn about some area of math that you would not typically see in your Brookdale coursework. Topics have included: |
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This book is a great find for those who want to learn about Lie groups or Lie algebras and basics of their representation theory. It is a well-written text which introduces all the basic notions of the theory with many examples and several colored illustrations. The author, Brian Hall of the University of Notre Dame, writes as if he is talking to his best students; without losing rigor and attention to details, he provides many informal explanations, several examples and counterexamples to definitions, discussions and warnings about different conventions, and so on.
But one may ask: Why choose this book among so many others with similar titles? What is so special about this particular one?
The idea is simple: Lie groups and Lie algebras are relevant and useful to many mathematicians (and physicists) with diverse backgrounds. However, at least until recently, these mathematical structures have not been included in the standard curricula of most undergraduate or graduate programs in mathematics. Probably the main reason for this has been the perception that there just are too many prerequisites to even get one's feet wet in the subject and only those few who have been motivated to study the subject in all its details have ventured to test the waters. (How is that for mixed metaphors?) I would go further and dare to say that this is mainly due to the nature of most of the standard texts in the topic, which either choose to focus only on Lie algebras and provide a deep algebraic theory with very little attempt at explaining the geometric connotations (à la Humphreys' Introduction to Lie Algebras and Their Representations), or require a solid background on basic manifold theory and lose a lot of otherwise enthusiastic readers from the beginning (à la Varadarajan's Lie Groups, Lie Algebras, and Their Representations).
However, according to Brian Hall, (and after reading his text, this reviewer most definitely agrees), there is a way to make almost all the basics of Lie theory and representation theory accessible to a mathematically mature audience who may not have either the prerequisites in manifold theory required to feel comfortable with Varadarajan's text or the interest in a purely algebraic approach like Humphreys'. Hall restricts himself to matrix Lie groups and matrix Lie algebras, which are the main finite dimensional examples. However it is worth noting that he still ends up developing all the theory that one would come across in a more standard text, like the representation theory of semisimple Lie algebras, and in particular the theory of roots and weights.
By restricting to the matrix case, though admittedly losing some generality, the text gains immensely in accessibility. The formal prerequisites reduce now to a solid background in linear algebra (though a detailed appendix covers some of the more advanced topics that are relevant), and a knowledge of some facts about groups and about the convergence of sequences of real or complex numbers. This basically amounts to the usual basic undergraduate courses, and one can even contemplate using the book in a course for an advanced undergraduate audience. However, except for a rather ambitious and highly motivated group of undergraduates, this text could prove to be rather difficult at the undergraduate level. The mathematical maturity required from the reader makes it much more appropriate for beginning graduate students in mathematics or physics. It would also make a great read for mathematicians who want to learn about the subject.
Gizem Karaali teaches at the University of California in Santa Barbara. |
4492770 / ISBN-13: 9780534492779
Precalculus: Mathematics for Calculus
This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling ...Show synopsisThis best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, thisHide synopsis
...Show more' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader.Hide
Description:Acceptable. With CD! Shows definite wear, and perhaps...Acceptable. With CD! Shows definite wear, and perhaps considerable marking on Precalculus: Mathematics for Calculus, Fifth Edition. This...Good. Precalculus: Mathematics for Calculus, Fifth Precalculus: Mathematics for Calculus
Book is actually pretty good, I like the fact that its first chapter is a review of stuff from intermediate algebra...if you are using this book...and you have just finished intermediate/college algebra...get this book and do each section of ch. 1...this will set you up for a good foundation for the ...
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A beautiful presentation and treatment of all math required before studying calculus. Comprehensive, and a strong focus on theory. Lots of problems to test yourself. Get through this and then star in your calculus study, as you are now VERY well prepared.
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This book is one of the best out there in the current markets. Dr. Stewart explains this subject with geometrical shapes to better understand the subject. For example he explains and proves the the phytogorean theorem, laws of sines and cosines, and alot more. Highly recommend this book as well as |
Algebra I
Algebra I is a crucial gateway course that puts authoritative resources at teachers' fingertips and provides a rigorous curriculum that engages, motivates, and lays the foundation for higher mathematics.
Algebra I provides a powerful method for describing interdependence and change—two ideas that are essential to understanding mathematics, often called the language of science. Throughout the Algebra I course, students will:
Learn to use basic algebraic tools to represent problem situations
Gain a sound understanding of functions and their multiple representations
Develop a solid understanding of rate of change
Model and solve important problems with linear, exponential, and quadratic functions and related equations
Students need a sound understanding of functions and their multiple representations. Algebra I provides that, and is widely accepted as an essential foundation not just for higher-level mathematics but for the knowledge required for participation in our democracy and for a successful economic life.
Talk with us about working together to close the achievement gaps in math and science. For all students.
Preparation for high stakes assessments with both automatically graded and open-response questions
Real-time reporting of progress that allows students to take responsibility for their own learning
Robust Supports for Teachers
In addition to Internet-delivered services, educators and administrators also receive face-to-face seminars, mentoring, and high-quality support materials to help them manage their demanding workloads, enhance their expertise, and dramatically improve outcomes for their students.
Online and face-to-face professional development seminars and mentoring directly tied to practice
Day-by-day lesson support with advice and classroom strategies, equipping teachers to enact each day of instruction to achieve success for all students
Collaboration with Leading Educational Research Center
Our mathematics and academic youth programs are developed in collaboration with the Charles A. Dana Center at The University of Texas at Austin. Working with leading educators throughout the country, we have developed mathematics programs for middle school, Algebra I, Geometry, Algebra II, Precalculus, Calculus, and AP Statistics. These programs build on the Dana Center's trusted work with more than 100,000 teachers over the past decade and on the core belief that all students can succeed in mathematics if given the opportunity. |
Algebra and Trigonometry
9780470222737
ISBN:
0470222735
Edition: 2 Pub Date: 2009 Publisher: Wiley, John & Sons, Incorporated
Summary: Young bridges the gap between algebra and trigonometry by utilising an innovative method that clearly helps them learn and apply the material. The book is graphing optional, providing very few integrated screen shots and little keystroke instruction.
Young, Cynthia Y. is the author of Algebra and Trigonometry, published 2009 under ISBN 9780470222737 and 0470222735. Five hundred twenty six Algebra and Trigono...metry textbooks are available for sale on ValoreBooks.com, one hundred fifty used from the cheapest price of $48.39, or buy new starting at $82.67.[read more] |
This lesson from Illuminations introduces students to to basic graph theory and Euler circuits. Students will gain hands on experience using graphs. The lesson involves sketching graphs that have Euler paths and...
This lesson from illuminations helps to illustrate quadratic equations. Students will determine the maximum value of a quadratic equation and compare different equations. The lesson also asks students to move between...
This lesson from Illuminations asks students to solve a system of linear equations using a practical math problem. The lesson involves question for students; participants are asked to give a short presentation to the...
The Scout Report hasn't wandered over to the NOVA Online Education site for a number of years, and it has expanded greatly as of late. Visitors to the site will immediately notice the "Watch, Interact, Explore" section,...
Gilbert Strang, of the Massachusetts Institute of Technology, highlights calculus in a series of short videos that introduces the basic ideas of calculus ? how it works and why it is important. The intended audience i... |
Pre-Algebra
Description
In this pre-algebra work-text, your child will work in advanced topics presented in an understandable and engaging style. Though it gives a brief but complete review of all arithmetic topics, much of the text is devoted to algebra and related topics, scientific notation, geometry, statistics, and trigonometry. Problem-solving strategies help students apply mathematical skills to word problems. Designed to be used in grade 8. Consumable, 428 |
Find a Jamaica, NY Algebra 1We also had another two semesters of a course called abstract algebra. Vector Spaces can be studied in a more general sense in abstract algebra as well. This area of math is concerned with abstract mathematical structures such as groups, rings, and fields. |
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A Google User
doesnt work none of the tricks load on the web( my connection does work) rendering the app useless, am keeping in hope of an update. PLEASE FIX!
A Google User
Junk, only few basic tricks and no updates with any more maths tricks.A Google User
I want my money back!!! Bought it but nothing works. Says may have been permanently relocated an its a website that shows me nothing. An its a tablet so
A Google User
Doesn't Work My Internet connection is fine this app just doesnt work.
A Google User
Way sick! How come they didn't teach me these tricks when I was in math class 5-12?
User reviews
A Google User A Google User May 1, 2012
doesnt work none of the tricks load on the web( my connection does work) rendering the app useless, am keeping in hope of an update. PLEASE FIX!stopped working after ics upgrade on galaxy s 2 I paid for it, now it doesn't work. I found at least two other math tricks programs that are very similar to this that work properly. One of them is called "mental maths". It works well.
SimilarHaving trouble with algebra? Solved the problem but you're not sure you got it right?
Meet yHomework - the algebra calculatorHelp you to solve math geometry problems. Calculate area of square, circle, ring, trapeze, parallelogram, triangle and more. It's also able to find perimeter too.
Example: When you choose the area of Triangle. Then just put the value of bottom and height. Then it will calculate the area value for you. It's simple but awesome for you.
Suitable for pre algebra to college math.
Note: This app wallpaper is transparent. So this may look difference on your device wallpaper. Please send any comments or suggestions. We would like to see your comment. Good luck :) Tags: math, mathematics, geometry, solver, math helper, geometry solver, area calculator, perimeter calculator attempts are made to ensure only accurate information is given in the app, no guarantee is given for the authenticity or accuracy of this data ** |
ALEX Lesson Plans
Title: A Piece of Pi
Description:
This 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6]
Subject: Mathematics (9 - 12) Title: A Piece of Pi Description: This
Title: Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities.
Description:
ThisStandard(s):MA2013] AL2 (9-12) 13: Use the structure of an expression to identify ways to rewrite it. [A-SSE2] [MA2013] AL2 (9-12) 34: Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
[F-BF (9 - 12), or Technology Education (9 - 12) Title: Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities. Description: This Graphing Stations
Description:
ThisSubject: Mathematics (8 - 12) Title: Graphing Stations Description: This
Title: Math is Functional
Description:
This ALC (9-12) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama) AL1 (9-12) 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [F-LE1 14: Use digital tools to defend solutions to authentic problems. [MA2013] AL1 (9-12) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [A-CED2]
Subject: Mathematics (9 - 12), or Technology Education (9 - 12) Title: Math is Functional Description: This
Title: You Mean ANYTHING To The Zero Power Is One?
Description:
This lesson is a technology-based project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization.
Standard(s): [TC2] CA2 (9-12) 5: Utilize advanced features of spreadsheet software, including creating charts and graphs,
sorting and filtering data, creating formulas, and applying functions. ALC (9-12) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] AL1 (9-12) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [N-RN2] [MA2013] AL1 (9-12) 131 (9-12) 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9] 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [N-RN1] [MA2013] AL1 (9-12) 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* [A-SSE3]
Title: Apple Pie Recording Chart
Description:
This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6-RP1 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7-SP4] [MA2013] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association Title: Apple Pie Recording ChartTitle: Gallery Walk
Description:
In from Gallery Walk
Title: Think of a Graph
Description:
This reproducible transparency, from an Illuminations lesson, asks students to sketch a graph in which the side length of a square is graphed on the horizontal axis and the perimeter of the square is graphed on the vertical axis 1: Create algebraic models for application-based problems by developing and solving equations and inequalities, including those involving direct, inverse, and joint variation. (Alabama) [MA2013] ALC (9-12) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama)
Subject: Mathematics Title: Think of a GraphTitle: Graph Chart
Description:
This reproducible transparency, from an Illuminations lesson, contains the answers to the similarly named student activity in which students identify the independent and dependent variables, the function, symbolic function rule and rationale for a set of graphs.
Standard(s): 2: Recognize and represent proportional relationships between quantities. [7-RP2] represented 12: Interpret expressions that represent a quantity in terms of its context.* [A-SSE 12: Interpret expressions that represent a quantity in terms of its context.* [A-SSE1 Graph ChartTitle: Bathtub Water Levels
Description:
In quantities Bathtub Water LevelsTitle: Automobile Mileage: Comparing and Contrasting
Description:
In variables Automobile Mileage: Comparing and ContrastingTitle: Graph Chart
Description:
Using
Subject: Mathematics Title: Graph Chart Description: Using Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Title: How Should I Move?
Description:
In
Subject: Mathematics Title: How Should I Move?Title: Numerical Analysis
Description:
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They use an interactive spreadsheet application to investigate their models 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3] [MA2013] AL1 (9-12) 34: Write a function that describes a relationship between two quantities.* [F-BF1] [MA2013] ALC (9-12) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama) [MA2013] DM1 (9-12) 3: Use the recursive process and difference equations to create fractals, population growth models, sequences, series, and compound interest models. (Alabama) Mathematics,Science Title: Numerical Analysis Description: In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They use an interactive spreadsheet application to investigate their models. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Web Resources
Interactives/Games
Title: Karl's Function Plotter
Description: plotting
ALTKarl's Function Plotter plotting
Thinkfinity Learning Activities
Title: Tube Viewer Simulation
Description:
This student interactive, from Illuminations, simulates the effect of viewing an image through a tube. As students move the location of the person or change the length of the tube, the image and measurements also change Tube Viewer Simulation |
Math Help
An Engineers Quick References to Mathematics
Algebra Help Math Sheet
This algebra reference sheet contains the following algebraic operations addition, subtraction, multiplication, and division. It also contains associative, commutative, and distributive properties. There are example of arithmetic operations as well as properties of exponents, radicals, inequalities, absolute values, complex numbers, logarithms, and polynomials. This sheet also contains many common factoring examples. There is a description of the quadratic equation as well as step by step instruction to complete the square.
Geometry Math Sheet
This geometry help reference sheet contains the circumference and area formulas for the following shapes: square, rectangle, circle, triangle, parallelogram, and trapezoid. It also includes the area of a circular ring as well as the area and segment length of a circular sector. This reference sheet contains formulas for area and volume of rectangular box, cube, and cylinder. This math help sheet also includes the area, side length, and volume of a right circular cone, as well as the volume of a frustum of a cone.
Trigonometry Definition Math Sheet
This trigonometry definition help sheet contains right triangle definitions for sine, cosine, tangent, cosecant, secant, and cotangent. It also contains the unit circle definitions for all trig functions. This sheet describes the range, domain and period for each of the trig functions. There is also a description of inverse trig function notation as well as domain and range.
Trigonometry Laws and Identities Math Sheet
This trigonometry laws and identities help sheet contains the law of cosines, law of sines, and law of tangents. It also contains the following identities: tangent identities, reciprocal identities, Pythagorean identities, periodic identities, even/odd identities, double angle identities, half angle identities, product to sum identities, sum to product identities, sum/difference identities, and cofunction identities.
Calculus Derivatives and Limits Math Sheet
This calculus derivatives and limits help sheet contains the definition of a derivative, mean value theorem, and the derivative's basic properties. There is a list of common derivative examples and chain rule examples. The following derivative rules are also described: product rule, quotient rule, power rule, chain rule, and L'Hopital's rule. This sheet also contains properties of limits as well as examples of limit evaluations at infinity. A limit evaluation method for factoring is also included.
Calculus Integrals Math Sheet
This calculus integral reference sheet contains the definition of an integral and the following methods for approximating definite integrals: left hand rectangle, right hand rectangle, midpoint rule, trapezoid rule, and Simpson's rule. There is a list of many common integrals. Also included in this reference sheet is nice table for trigonometric substation when using integrals. Integration by substitution is defined as well as the integration by parts.
Integrals
The integral is a mathematical analysis applied to a function that results in the area bounded by the graph of the function, x axis, and limits of the integral. Integrals can be referred to as anti-derivatives, because the derivative of the integral of a function is equal to the function.
Limits Math Help
The limit is a method of evaluating an expression as an argument approaches a value. This value can be any point on the number line and often limits are evaluated as an argument approaches infinity or minus infinity. The following expression states that as x approaches the value c the function approaches the value L.
Trig Definition Math Help
To define the trigonometric functions of an angle theta assign one of the angles in a right triangle that value. The functions sine, cosine, and tangent can all be defined by using properties of a right triangle. A right triangle has one angle that is 90 degrees. The longest side of the triangle is the hypotenuse. The side opposite theta will be referred to as opposite. The other side next to theta will be referred to as adjacent. The following properties exist:
The circle is a shape where all points along the shape are equal distance from a specific point. This point is the center of the circle and the distance to the center of the circle is the radius. The circumference of a circle of radius r is:
The sphere is a 3 dimensional object, whose surface is continuous and all points of the surface are an equal distance from a fixed point, the center. The surface area of a sphere, where r is the radius, is:
The cylinder, also know as the right circular cylinder, is formed by rotating a line, of length h, around a fixed axis parallel to that line. A cylinder has two ends that are equally sized circles parallel to one another and the circular side is at a right angle to these circular ends. The surface area of cylinder is:
The frustum of a cone is a portion of cone with the top removed. The top and bottom surfaces are parallel to one another. The volume of a frustum of a cone, where the top radius is r and the bottom radius is R, is:
Algebra Math Help
Addition is the operation of combining two numbers. If more than two numbers are added this can be called summing. Addition is denoted by + symbol. The addition of zero to any number results in the same number. Addition of a negative number is equivalent to subtraction of the absolute value of that number.
Multiplication is the product of two numbers and can be considered as a series of repeat addition. Multiplication of a negative number will result in the reciprocal of the number. Multiplication of zero always results in zero. Multiplication of one always results in the same number.
The law of distribution allows operations in some cases to be broken down into parts. The property is applied when multiplication is applied to a group of division. This law is applied in the case of factoring.
Complex Numbers
Complex numbers are an extension of the real number system. Complex numbers are defined as a two dimension vector containing a real number and an imaginary number. The imaginary unit is defined as:
The complex number format where a is a real number and b is an imaginary number is defined as:
Unlike the real number system where all numbers are represented on a line, complex numbers are represented on a complex plane, one axis represents real numbers and the other axis represents imaginary numbers.
Logarithms
A logarithm is a function that for a specific number returns the power or exponent required to raise a given base to equal that number. Some advantages for using logarithms are very large and very small numbers can be represented with smaller numbers. Another advantage to logarithms is simple addition and subtraction replace equivalent more complex operations. The definition of a logarithms is:
Factoring
A polynomial is an expression made up of variables, constants and uses the operators addition, subtraction, multiplication, division, and raising to a constant non negative power. Polynomials follow the form:
The polynomial is made up of coefficients multiplied by the variable raised to some integer power. The degree of a polynomial is determined by the largest power the variable is raised.
Completing the square is a method used to solve quadratic equations. Algebraic properties are used to manipulate the quadratic polynomial to change its form. This method is one way to derive the quadratic formula.
The steps to complete the square are:
Divide by the coefficient a.
Move the constant to the other side.
Take half of the coefficient b/a, square it and add it to both sides.
Factor the left side of the equation.
Use the square root property.
Solve for x.
Functions and Graphs
Expressions evaluated at incremental points then plotted on a Cartesian coordinate system is a plot or graph.
Calculate the required internal trace width for a specified current
Trace Width Calculator
Choose Type
Stripline Trace Width Calculator
Inputs
Additional Inputs
Ambient Temperature
Tamb
Length
L
Output
Trace Width required trace width for a specified current
Trace Width Calculator
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Microstrip Trace Width Calculator
Inputs
Additional Inputs
Ambient Temperature
Tamb
Length
L
Output
Trace Width maximum current of an internal trace
Trace Max Current Calculator
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StriplineImpedance Matching Circuits
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PI Network Impedance MatchingPI Match Impedance Calculator
The Pi match circuit gets its name because the circuit topology can look like a pi symbol.PI piImpedance Matching Circuits
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T-Match TopologyT Match Impedance Calculator
The T match circuit gets its name because the circuit topology looks like the letter "TT
The outputs of this tool give you the component values as well as a graph of the impedance looking into theL-Match
Impedance Matching Circuit
Impedance Matching Circuits
Choose Type
L-Match Topology
Inputs
Frequency
F
Source Resistance
RS
Ohm
Source Reactance
XS
Ohm
Load Resistance
RL
Ohm
Load Reactance
XL
Ohm
Circuit DC Current
Outputs
L:
C:
Q:
Plots:
Mag & Phase
Real & Complex
Freq:
Mag:
Phase:
L Match Impedance Calculator
The L match circuit gets its name because the circuit topology can look like the letter "LL Match Circuit Description
There are some important items to understand when using this tool. The circuit topology can change depending on the inputs. In all topologies there is one inductor and one capacitor, but the location of these components changes LExternal PCB Trace Max Current
Calculate the maximum current of a trace
Trace Max Current Calculator
Choose Type
MicrostripIf the nominal value was 345 Ohm and the 5th band of the resistor was gold (5%) the value range would be nominal +/- 5% = 327.75 to 362.25
Resistance Temperature Coefficient
Resistors values can change with temperature. The 6th band represents the temperature coefficient or tempco and is represents the amount the resistance value will change with temperature. It is in units of ppm/degree C. The band colors represents the following:
If the nominal value was 34 Ohm and the 4th band of the resistor was gold (5%) the value range would be nominal +/- 5% = 32.3 to 35.7
RF Unit Converter
Make conversions between common RF units
EEWeb
Rf Unit Converter
Impedance
Ohm
Voltage
Vpeak
Vrms
uV
uV EMF
uV PD
dBuV
dBuV EMF
dBuV PD
Power
W
mW
uW
dBm
dBuW
dBuW EMF
dBuW PD
dBpW
dBpW EMF
dBpW PD
Enter value in Voltage or Power field and all other values will be calculated
RF Unit Converter Introduction
This tool is a unit converter for voltage and power. There is an input for impedance that allows the relationship between power and voltage.
Ohm
The unit for resistance or impedance. Resistance can define the relationship between voltage and current and voltage and power. Based upon ohms law the voltage and current relatinship is:
r = \frac{v}{i}
and power is
power = \frac{v^{2}}{r}
Vpeak – Peak Voltage
Peak voltage of an AC signal is the peak amplitude.
Vrms – RMS Voltage
The Root Mean Square Voltage or Vrms is:
V_{rms}=\frac{V_{peak}}{\sqrt{2}}
uV – Microvolt (RMS)
This value is the RMS voltage in microvolts.
\mu V=\frac{V_{peak}}{\sqrt{2}}\cdot 10^{-6}
uV EMF
This value is microvolt with no termination or load.
\mu V_{emf}=\frac{2\cdot V_{peak}}{\sqrt{2}}\cdot 10^{-6}
uV PD
This value is microvolt with with a load. When a signal has a matched load then half of the voltage is droped across the load. This value is the same value as uV, The unit is just explicitly defined as having the load.
\mu V_{pd}=\frac{V_{peak}}{\sqrt{2}}\cdot 10^{-6}
dBuV – dB Microvolts RMS
This unit is the decible of RMS microvolt.
dB\mu V=20\log \left ( \mu V \right )
dBuV EMF – dB Microvolts EMF
This unit is the decible of EMF microvolt.
dB\mu V_{emf}=20\log \left ( \mu V_{emf} \right )
dBuV PD – dB Microvolts PD
This unit is the decible of EMF microvolt.
dB\mu V_{pd}=20\log \left ( \mu V_{pd} \right )
W – Watts
Watts is a unit of power.
W=\frac{V_{rms}^{2}}{Z_{o}}
mW – Miliwatts
One thousandth of a watt.
mW=\frac{W}{10^{3}}
uW – Microwatts
One millionth of a watt.
\mu W=\frac{W}{10^{6}}
dBm
dBm is a power measurement and is the decibal of the power in mW.
dBm=10\log \left ( mW \right )
dBuW
dBuW is a power measurement and is the decibal of the power in uW.
dBm=10\log \left ( \mu W \right )
dBuW EMF
dBuW EMF is a power measurement and is the decibal of the power in uW. In a system with no termination or load.
dBm=10\log \left ( 2\cdot \mu W \right )
dBuW PD
dBuW PD is a power measurement and is the decibal of the power in uW. In a system with a matched load.
dBm=10\log \left (\mu W \right )
dBpW
dBpW is a power measurement and is the decibal of the power in pW.
dBm=10\log \left ( \mu W\cdot 1e6 \right )
dBpW EMF
dBpW EMF is a power measurement and is the decibal of the power in pW. In a system with no termination or load.
dBm=10\log \left ( 2\cdot \mu W\cdot 1e6 \right )
dBpW PD
dBpW PD is a power measurement and is the decibal of the power in pW. In a system with a matched load.
Broadside Coupled Trace Inductance Calculator
Inputs
Outputs
Inductance:
Introduction
The broadside coupled trace is a common technique for routing differential pair signals.
Broadside Trace Inductance Description
The inductance of a broadside coupled trace is easy to calculate. Broadside coupled traces are on adjacent planes and the return is identical to the trace in width and length. It is important to note that in industry we can find that some differential pairs are routed this way for a strong coupling, but the actual return for the signal is on a power plane. This calculator is for the case where the signal return is on the adjacent trace. The geometry inputs are:
Coil Inductance
Calculate the Inductance of a Coil
Coil Inductance Calculator
Choose Type
Coil Inductance Calculator
Inputs
Number of Turns
N
Loop Diameter
D
Wire Diameter
d
Relative Permeability
μR
Outputs
Inductance:
Introduction
A coil inductance formula is based upon the basic loop inductance. Inductance is the ability to store energy in a magnetic field, and coils are a very common way to create inductance. Many magnetic field coupling circuits, like chokes and transformers take advantage of a coil's magnetic storage properties.
Wire Loop Inductance Description
The inductance of a wire loop is a common example of a circuit with inductance. The variables used in this tool are the diameter of the wire conductor and the diameter of the wire loop, number of turns, and the relative permeability. Coil inductance is related to individual loop inductance by the square of the number of turns.
Wire Loop Inductance Calculator
Choose Type
Loop Inductance Calculator
Inputs
Outputs
Inductance:
Introduction
A wire loop creates inductance. Inductance is the ability to store energy in a magnetic field.
Wire Loop Inductance Description
The inductance of a wire loop is a common textbook example of a circuit with inductance. The variables used in this tool are the diameter of the wire conductor and the diameter of the wire loop. This calculation is for loop and self inductance they are the same for this example.
Wire Over Plane Inductance Calculator
Inputs
Outputs
Introduction
The wire over plane is a transmission line that is common. One place that it is used is in modifications to existing circuit boards. In some instances one might be interested in only the inductance.
Description
The inductance calculated in this tool is the loop inductance created with the wire and its return path on the ground plane. It is important to notice this is not the self inductance of the wire but a closed loop. The inductance allows one to understand the amount of energy that can be stored in magnetic fields. The only variables used in this calculation are the height of the wire from the reference plane, the radius of the wire, and the relative permeability of the medium around the wire. The permeability of air is 1 for all practical purposes. The permeability of a vacuum is exactly 1.
Coax Inductance
Calculate the Inductance of a Coax Cable
Coax Cable Inductance Calculator
Choose Type
Coax Inductance Calculator
Inputs
Outer Diameter
D
Inner Diameter
d
Length of Wire
L
Relative Permeability
μR
Outputs
Inductance:
Introduction
A coax is a common transmission line construction and most rf cables are coax. The impedance of the coax is a relationship of the capacitance per unit length and the inductance per unit length. This tool will help you find the inductance for a given length of coax cable.
Coax Inductance Description
The inductance of a coax cable can be useful to know. The variables needed in calculating this inductance are center conductor diameter, distance to outer shield, and length. You might notice that the diameter of the outer shield is not required. It is assumed that this shield is sufficiently thick. This calculation is for a loop inductance where the outer shield is the return path for the center conductor.
Coax Inductance Model.
The inductance of the loop created with the center conductor and outer shield.
Parallel Wire Inductance Calculator
Inputs
Outputs
Inductance:
Introduction
The inductance of two parallel conductors can be computed. It is assumed that one of the conductors is the return path for the other wire.
Self Inductance Description
The inductance for the two wire inductance might be useful in measuring the inductance for a signal and ground on a ribbon cable. The inputs to this calculator are length distance between the two conductors and diameter of the wire. These two signals make a complete loop.
Choose Type
Wire Self Inductance Calculator
Inputs
Outputs
Introduction
The inductance of a single conductor is called self inductance. Self inductance is not typically measured, since it is only part of a complete circuit loop.
Self Inductance Description
The inductance calculated in this tool is the self inductance. This self inductance is used in some simulations and is really only part of a total loop inductance. In this tool the variables required are length, and wire diameter. Notice that there is not a return path referenced in this inductance estimator. When calculating a loop inductance the self inductance as well as the mutual inductance to the return path and the return paths self inductancec is accounted for.
Differential Stripline Impedance Calculator
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Edge Coupled Stripline symmetric stripline edge couple differential stripline transmission line.
Description
An edge couple differential symmetric stripline transmission line is constructed with two traces referenced to the same reference planes above and below the tracesDifferential Microstrip Impedance Calculator
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Edge Coupled Microstrip microstrip differential microstrip transmission line.
Description
An edge couple differential microstrip transmission line is constructed with two traces referenced to the same reference planeThe source for these formulas are found in the IPC-2141A (2004) "Design Guide for High-Speed Controlled Impedance Circuit Boards" and Wadell, Brian C. Transmission Line Design Handbook. Norwood: Artech House Inc, 1991
Wire Stripline Impedance Calculator
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Wire Stripline stripline transmission line is similar to a standard stripline transmission line, but with a round conductor. Modeling approximation can be used to understand the impedance of the wire stripline transmission line.
Description
A wire stripline is constructed with a round conductor suspended between two ground planes. The conductor and ground planes are separated with a dielectric. This calculator assumes the distance between the two reference planes to be an equal distance.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Wire Microstrip Impedance Calculator
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Wire Microstrip microstrip transmission line is similar to a standard microstrip transmission line, but with a round conductor. Modeling approximation can be used to understand the impedance of the wire microstrip transmission line.
Description
A wire microstrip is constructed with a round conductor suspended over a ground plane. The conductor and ground plane are separated with a dielectric. As with the standard microstrip trace, an effective dielectric constant is calculated because air is on one side of the trace where another dielectric is between the wire and the ground plane.
Example
An example of a wire microstrip might most often be found in prototypes or reworked boards where a wire is used over the top of pcb or copper clad material. If there is an insulator around the wire then this calculator will be an estimate. Include both the pcb dielectric thickness as well as the wire insulation in the height calculation.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Asymmetric Stripline Impedance Calculator
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Asymmetric Stripline asymmetric stripline transmission line is most commonly found in a pcb where the distance from trace to planes is not the same distance above and below. The ability to model this impedance is nice because it can often be found in designs. Modeling approximation can be used to design the asymmetric stripline trace. By understanding the asymmetric The distance between the conductor and the planes is not the same for both reference planes. This structure will most likely be manufactured with the printed circuit board process.
Example
An example of an asymmetric stripline is a 4 layer pcb were a trace on layer 3 is referenced to both layer 1 and layer 4. The trace is closest to layer 4 and layer 4 has the dominant effect on the transmission line impedance, but layer 1 would still affect the characteristic impedance of this trace.
Asymmetric Stripline Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Stripline Impedance Calculator
Choose Type
Symmetric Stripline Impedance Calculator
Inputs
Trace Thickness
T
Substrate Height
H
Trace Width
W
Substrate Dielectric
Er
Outputs
Impedance (Z):
Introduction
The symmetric stripline is reliable method for creating a transmission line. The stripline is a TEM (transverse electromagnetic) transmission line. Modeling approximation can be used to design the microstrip trace. By understanding the One advantage of the stripline is that there is an improve isolation between adjacent traces when compared with the microstrip.
Stripline Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Embedded Microstrip Impedance Calculator
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Embedded Microstrip embedded microstrip is a similar in construction to the microstrip transmission line. Modeling approximation can be used to design the embedded microstrip trace. By understanding the embedded microstrip transmission line, designers can properly build these structures to meet their needs.
Description
An embedded microstrip is constructed with a flat conductor suspended over a ground plane. The conductor and ground plane are seperated by a dielectric. There is also a layer of dielectric material above the conductor. One case of an embedded microstrip transmision line is a microstrip trace with soldermask.
Embedded Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the embedded microstrip transmission line.
Microstrip Impedance Calculator
Choose Type
Microstrip Impedance Calculator
Inputs
Trace Thickness
T
Substrate Height
H
Trace Width
W
Substrate Dielectric
Er
Output
Impedance (Z):
Introduction
The microstrip is a very simple yet useful way to create a transmission line with a PCB. There are some advantages to using a microstrip transmission line over other alternatives. Modeling approximation can be used to design the microstrip trace. By understanding the microstrip transmission line, designers can properly build these structures to meet their needs.
Description
A microstrip is constructed with a flat conductor suspended over a ground plane. The conductor and ground plane are seperated by a dielectric. The suface microstrip transmission line also has free space (air) as the dielectric above the conductor. This structure can be built in materials other than printed circuit boards, but will always consist of a conductor seperted from a ground plane by some dielectric material.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Outputs
Introduction
Crosstalk is unwanted coupled energy between traces. There are two types of crosstalk: forward and backward crosstalk coefficient as well as the coupled voltage, both can be useful in crosstalk analysis.
Stripline Transmission Line Crosstalk Models
The following models approximate the forward crosstalk in stripline transmission lines.
Microstrip Crosstalk
PCB Microstrip Crosstalk Calculator
Microstrip Crosstalk Calculator
Choose Type
Microstrip Crosstalk Calculator
Inputs
Source Rise Time
Tr
ns
Source Voltage
V
Volts
Length of Parallel Routes
L
Substrate Height
H
Trace Spacing
S
Substrate Dielectric
Er
Outputs
Cross Talk Coeff:
Coupled Voltage:
Introduction
Crosstalk is unwanted coupled energy between traces. There are two types of cross talk forward and backward crosstalk cross talk coefficient as well as the coupled voltage, both can be useful in crosstalk analysis.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the forward crosstalk in microstrip transmission lines.
Coax
Coax Impedance Calculator
Coaxial Impedance Calculator
Choose Type
Coax Calculator
Inputs
Inner Conductor Diam.
D1
Inner Surface Shield Diam.
D2
Substrate Dielectric
Er
Outputs
Impedance (Z):
Delay:
Inductance per inch:
Capacitance per inch:
Introduction
Perhaps the most common type of transmission line is the coax. The coax is a very nice way to create a transmission line. Understanding coax can be helpful when working with it. The nice part about coax is that it can be bent and flexible unlike most pcb transmission lines.
Description
The basic coax cable is constructed with an inner trace and a shield separated by dielectric. The property of coax that is nice is the transverse electric magnetic (TEM) mode, which means that the magnetic and electric fields are perpendicular to the direction of the wave propagation. The characteristic impedance is primarily determined by the distance from the conductor to the shield as well as the dielectric constant of material separating them.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Twisted Pair
Twisted Pair Cable Impedance Calculator
Twisted Pair Impedance Calculator
Choose Type
Twisted Pair Calculator
Inputs
Diameter of Wire
D
Seperation Between Wires
S
Substrate Dielectric
Er
Outputs
Impedance (Z):
Delay:
Inductance per inch:
Capacitance per inch:
Introduction
Two conductors can create a transmission line. To make an effect transmission line with two wires it is best to create a twisted pair. Often when working with wires it is easy to create large return path loops if one is not paying close attention. The twisted pair helps create a more uniform inductance and capacitance per unit length of wire to ensure a constant impedance, by keeping the return path as close to the signal as possible.
Description
The geometries of the twisted pair that we should pay close attention too are the distance between the two conductors (center to center) and the diameter of the conductive wire. The effective permittivity of the material between the two conductors will be somewhere between the permittivity of the insulation on the wires and the relative permittivity of air (1).
Characteristic Properties of the Twisted Pair
Characteristic Impedance The characteristic impedance of the twisted pair is the impedance a signal will see as it travels down the conductor.
Propagation Delay The propagation delay of the signal is the time it takes for the signal to travel a specific distance. This tool calculates the time delay in inches per nanosecond.
Inductance Per Unit Length The inductance of the signal is valuable to know. Especially when creating a model for the transmission line in a simulation tool. This tool calculates the inductance in nano-henrys per inch
Capacitance Per Unit Length The capacitance of the signal is often need when creating a model for the transmission line in a simulation tool. This tool calculates the capacitance in pico-farads per inch
Twisted Pair Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Example Template With Sidebar
Tool Template
Choose Type
Tool Title
Inputs
Outputs
Javascript Code:
Place all your javascript code in the tools weblog entry at the bottom of the "tool_html" field. Javascript code can be in the html file or included via a standard js include link
[geshify]
[/geshify]
Event Driven Calculations:
Tool keyboard events are driven by the following bindings that work off of all fieldInput and fieldSelect classes. This will alleviate harcoding events into your tool's html.
[geshify lang="javascript"]
// Tool onkeyup and onchange events for updating output values
$(".fieldInput").keyup(function(event){
testMe();
});
$(".fieldSelect").change(function(event){
testMe();
});
[/geshify]
Trace Resistance
PCB Trace Resistance Calculator
EEWeb
Trace Resistance Calculator
Trace Resistance
Inputs
Trace Width
W
Trace Length
L
Trace Thickness
T
Temperature
Temp
Output
Resistance (R):
Introduction
The purpose of this calculator is to solve the resistance of a copper conductor based upon physical dimensions. The resistance of a trace can be useful in many ways. The power dissipation in a trace is calculated after one has determined the trace resistance. The trace resistance can also be helpful if a circuit requires precision resistors and the pcb traces cab effect the resistance value. |
Key to Algebra Student book 5. Paperback student workbook of 37 pages. This self-directing student workbook is great as a algebra supplement for the homeschool student. New concepts are presented in simple language, making them easy to understand, with easy to follow examples. Book 5 Focus: Rational Numbers. |
This lesson uses WebImage, a Web-based customized version of ImageJ, to investigate the relationship between the circumference and diameter of a circle. Images of circular objects are provided, and, by measuring...
This is a video about Niko Henderson, an engineer for Easton Sports. He uses science, mathematics, engineering and innovative testing to help produce some of the fastest bikes on the road. Treat your students to a rare...
Created for the Connected Curriculum Project, the purpose of this module is to learn the basics of Mathematica for use with the differential equations modules. This is one lesson within a larger set of learning modules...
Applied Mathematics is a lesson plan which will help students gain proficiency in applied mathematics. After completing this module, students should be able to demonstrate the ability to perform various mathematical...
This collection of video guides, authored by Brad G. Osgood of Stanford University, states the goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general... |
basic calculator for the advanced math student! Work this Scientific Calculator from Casio in Trig class, because it does Sin, Cos, Tan and Inverse! Fractions, Square Roots, Statistics, and scientific notation features are just a few listed for this amazing all-purpose calculator.
Start with basic math functions and keep on going through pre-algebra and trig! This calculator is a wonderful learning tool for basic to advanced math classes!
This is a fantastic scientific calculator for the price! You get all the functions you need, on a Solar Powered machine, to pass your trig class with flying colors!
Suits Your Calculating Needs If you're a scientist, statistician, mathematician or a college student, don't leave home without it! The Casio FX-260HA scientific calculator supplies you with intensive power, flexibility, and accuracy.
Solar Power The Casio HS4GS FX-260HA scientific calculator utilizes solar power and features an automatic power-off function for extended operation.
Learn more about the CASIO FX-260Solar
General
Brand
Casio
Model
FX-260Solar
SellingUnit
Each
Feature
Features
Store/Recall
# of Constant Memories: 1
Automatic Power Down
Function/Mode Menus
Clear Last Entry & Clear All
Fixed Decimal Capabilities
Add, Subtract, Multiply, Divide
Correct Order of Operations (M, D, A, S)
Constant Feature
X^3/Cube Root
Exponents (^key)/Powers of 10
xth Root
Pi
Percent Calculations
Improper Fraction<>Mixed Number
Simplification
Sin, Cos, Tan, & Inverse
Converts between DEG, RAD, GRAD
Mean, Sum, # Elements
Standard Deviation
nPr, cPr, x!
DMS<>DD Conversions
Scientific Notation
Spec
+/- Switch Key
Yes
Backspace Key
Yes
Case
Yes
Display Characters x Display Lines
12 x 1
Display Notation
Numeric
Fraction/Decimal Conversions
Yes
Global Product Type
Calculators-Scientific
Hyperbolic Functions
Yes
Levels of Parentheses
6
Linear Regression
Yes
Number of Display Digits [Nom]
12
Polar-Rectangular Conversion
Yes
Power Source(s)
Solar
Probability (Random Number)
Yes
Square Root Key
Yes
Trig/Log Functions
Yes
Variable Statistics FX-260Solar |
This math lesson from Illuminations helps students improve their skills in identifying equivalent trigonometric expressions. Students will be able to practice using trigonometric functions and equivalent expressions....
This geometry lesson from Illuminations presents the Triangle Classification problem. Students will attempt to classify the triangles formed in a plane when a randomly selected point is connected to the endpoints of a...
This algebra lesson helps students understand the relationship between the shape of a graph and the movement of an object. Students will collect and graph data, use slopes of tangent lines to create graphs of...
This math lesson from Illuminations uses Venn diagrams to illustrate direct, indirect and transitive reasoning. Students will learn the definitions of direct, indirect and transitive reasoning and give examples of each....
This lesson from Illuminations helps students see connections between mathematics and other disciplines, such as government, history and ethics. The material will allow students to develop their skills in mathematical... |
The focus of the early chapters of this book is on numbers, their operations, and their algebraic representations. Later chapters include topics such as integers, functions, and probability. Every lesson in this book has both skill practice and problem solving, including multi-step problems. It provides instruction and practice on standardized test questions in a variety of formats--multiple choice, short response, extended response, and so on to prepare for standardized tests.
McDougal Littell Math Course 1 provides you with the skills you need to master the Texas Essential Knowledge and Skill (TEKS) for Grade 6. TEKS reference appear at the beginning of each lesson and activity, and a full-page "Mixed Review for TEKS" appears twice each chapter.Math Course 2 provides you with the skills you need to master the Texas Essential Knowledge and Skills (TEKS) for Grade 7. TEKS references appear at the beginning of each lesson and activity, and a full-page "Mixed Review for TEKS" appears twice each chapter.
The focus of the early chapters in McDougal Littell Math Course 2 is on rational numbers, their operations, and their algebraic representations. You will build your understanding of these concepts using models, such as rulers, number lines, and verbal models. You will also apply your skills to problem-solving situations and use estimation to check reasonableness.
The book provides thorough coverage of the Texas Essential Knowledge and Skills (TEKS) for Algebra 1. TEKS references appear at the beginning of each lesson and activity, and a full-page "Mixed Review for TEKS" appears twice each chapter. In addition, Algebra 1 helps you prepare for the Grade 9 Texas Assessment of Knowledge and Skills (TAKS). The content of Algebra 1 is organized around families of functions, with special emphasis on linear and quadratic functions |
Summary: A text for a precalculus course for students who have completed a course in intermediate algebra or high school algebra II, concentrating on topics essential for success in calculus, with an emphasis on depth of understanding rather that breadth of coverage. Linear, exponential, power, and periodic functions are introduced first, then polynomial and rational functions, with each function represented symbolically, numerically, graphically, and verbally. Contains many ...show moreworked examples and problems using real world data. Can be used with any technology for graphing functions.
From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas. ...show less |
Product Description
This Excel Mathematics Study Guide is essential for all students studying Year 9–10 Intermediate Mathematics as a comprehensive guide to the topics covered at this level. It provides tools to explain important mathematical concepts and gives ample opportunity to practise at a variety of levels.
Excel Mathematics Study Guide Years 9–10 contains:
topics covered in Years 9 and 10 Mathematics courses in Australia
explanations of important concepts with examples and worked solutions
checklists at the end of each chapter with page references to explanations
plenty of exercises in the "Practise Practise" sections at the end of each chapter with page references to explanations. Answers and worked solutions are provided
three levels of timed tests (straightforward, average difficulty and challenging) at the end of each chapter. Worked solutions and a marking system that provides feedback are provided
two levels of timed sample exam papers that cover the entire two years' work and provide preparation for the final Years 9 and10 Advanced Mathematics examinations. Worked solutions are provided
a comprehensive index
Authors: Peter Nicholas, John Compton and Allyn Jones |
This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical... more...
This is the first study of the history of Diophantine analysis and the theory of numbers from Ab? K?mil to Fermat (9th-17th century). It thus offers an elaborate and detailed overview on a fundamental chapter on classical mathematical thought and its relation to algebra and Diophantus? Arithmetica. more...
Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is a suitable topic to lead college students and talented high school students to a better appreciation of the power of mathematical technique. more... |
Product Details
Proofs Without Words by Roger B. Nelsen
Every time I have shown this book to a colleague, I have been asked how to get hold of it. It is an absolute delight... Buy a copy today. -The Mathematical Gazette
This book will be an outstanding tool to help students who are visual learners. --The Mathematics Teacher
By acquiring a knack for explaining in words what they already understand, students will be better prepared to seek their own explanations...the book offers models of the sort of visual thinking that is often woefully neglected in the classroom. --CHOICE
Proofs in this collection are arranged by topic into five categories: geometry and algebra; trigonometry, calculus, and analytic geometry; inequalities; integer sums; sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students think visually in mathematics. |
Practical and easy to understand, Consumer Math Success Kit covers all the financial aspects of living in the world today, including balancing bank statements, loans, budgets, checking accounts, credit, eating out, tax, home care, income, bills, and more. Short lessons highlight the principle being learned with examples and are followed by reproducible sheets of practice problems. Teacher notes highlight new vocabulary, related topics, suggestions and required math skills. 318 pages, softcover. Reproducible pages are marked. Answers are included Consumer Math Success Kit, Second Edition
Review 1 for Consumer Math Success Kit, Second Edition
Overall Rating:
4out of5
Date:November 21, 2008
D Vanname
This has a great layout, however it needs to provide more detailed instruction in the lessons. For example it does not teach how to convert the months so as to enable the student to fit the months into the equation. A teachers manual would be a good companion to this if it was available.
Share this review:
+3points
3of3voted this as helpful.
Review 2 for Consumer Math Success Kit, Second Edition
Overall Rating:
4out of5
Date:September 21, 2007
Loretta Stolarz
Finally...math that means something to the average person! My son was so annoyed with all the higher math, having to learn (memorize) so many things he'll never use. This book covers math in real life situations that you really do need to know. |
More About
This Textbook
Overview
The Essentials version of Musser, Burger & Peterson's best-selling textbook it brings together the many facets of elementary and middle school mathematics in one concise volume. With a focus on providing a complete understanding of mathematics that translates immediately into the classroom, the authors use their proven formula to present all the core subjects, including |
Find a Federal HeightsThe problems you encounter in algebra 1 are more challenging than those you encounter in arithmetic. However, you often use the same techniques you used in arithmetic to solve algebra 1 problems! So really, algebra 1 is a lot like the kinds of things you have already worked with - it just "looks" different.
...Though I left my school with a library of over 30,000 books (our school did not have our own library) my two proudest moments came from my students. One was a slip of paper unsigned on my desk that said, "I finished my first book ever. Thank you for not giving up on me" and the second was overh |
The Calculus 2 Advanced Tutor: Learning By Example DVD Series teaches students through step-by-step example problems that progressively become more difficult. This DVD covers Area and Length in Polar coordinates in Calculus, including how to express area and length in polar coordinate and why this is a central topic in Calculus. Grades 9-12. 42 minutes on DVD. |
MS Math 3.0 Rolls Out This Month
By Michelle Rutledge
05/17/07
##AUTHORSPLIT##<--->
Microsoft recently announced the launch of Math 3.0, a math and science educational tool for students in grade levels 6-12, as well as entry-level college students. The software is designed for use at home, to assist students with math and science concepts and homework, or for visual examples in the classroom.
"Microsoft Math provides a space for nurturing student learning in mathematics with dynamic visualizations. The program provides essential ingredients for classroom environments designed to challenge all students to engage in visual thinking," said Margaret L. Neiss, mathematics education professor at Oregon State University in a prepared statement.
According to Microsoft, the software includes study material for six different math and science subjects. Features in the program include:
Graphing calculator;
Step-by-step math solutions;
Formulas and equation library;
Unit conversion tool;
Triangle solver; and
Handwriting support.
Math 3.0 runs $19.95 for a single license. Volume licensing is available for educational institutions |
and Understanding Mathematics: A Quantitative Reasoning Approach
Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics ...Show synopsisMost students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they'll need to make good decisions throughout their lives. Common-sense applications of mathematics engage students while underscoring the practical, essential uses of mathThe book itself is clearly written and suitable for self study.
No quadratics, though............ :(
But the book itself was in much poorer condition than I had expected. It was nearly completely separated from its bindiong.
More
I am not a math major yet I was challenged by the content in this book. It did not create the impulse to turn tail and head for the hills. Its simple, straightforward language, clear examples, and helpful real-world context provide an excellent rationale as to why one should embrace the comprehensive ...
More
This book covers a lot of ground but does it very well. The content covers real-world situations: finances, currency conversion, power usage, statistics, and more. The writing is very clear, and there are little overview sections that help refresh old math skills and explain advanced calculator functions |
: Its Power and Utility, 9th Edition
MATHEMATICS: ITS POWER AND UTILITY, 9e, combines a uniquely practical focus on real-world problem solving with a thorough and effective grounding in basic concepts and skills, allowing even the least-interested or worst-prepared student to appreciate the beauty and value of math while mastering course material. The first section of the book explores the power and historic impact of mathematics and helps you harness that power by developing an effective approach to problem solving. The second section builds on this foundation by applying math concepts to a wide variety of real-life situations--including money management; handling of credit cards; inflation; purchase of a car or home; use of probability, statistics, and surveys; and many more topics of interest. MATHEMATICS: ITS POWER AND UTILITY, 9e, assumes only a basic working knowledge of arithmetic, making it effective even if you have no exposure to algebra or little confidence in your current math skills300.95
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Jill Cockerham
An Introduction to Vectors
Final Project
About This Tutorial
This tutorial is intended for students who have previously studied
college level algebra and trigonometry. This tutorial presents two-dimensional
spatial vectors, emphasizing their application in terms of magnitude and direction. |
2.3—You can begin the lesson by using a pencil to trace the graph of a continuous function over any interval without lifting the pencil from the paper. The definition of continuity must be understood by students if they are to be successful in this course. Be careful to distinguish between continuity at an interior point in the domain (which involves a two-sided limit) and continuity at an endpoint (which involves a one-sided limit). Different types of discontinuities are discussed on page 76. It will be worthwhile to illustrate each type of discontinuity with a grapher or with a chalkboard sketch. Names for the different types of discontinuities should be used consistently throughout the course.
2.4—Most students should already have an understanding of slopes, so they should be encouraged to examine the graphs of functions to make sure that their answers are reasonable. The average rate of change introduced in this lesson provide an application related to limits or rational functions.
Critical Thinking Questions:
2.3—p. 81, # 45
2.4—pp. 89–90, # 35–43
Troubleshooting Tips/Error Traps:
Some students may have difficulty recognizing the differences between continuity at an interior point in the domain and continuity at an endpoint.
Some students may mistakenly attempt to apply the Intermediate Value Theorem to functions that are not continuous.
Many students are prone to algebraic errors when calculating the slopes of curves. Encourage students to understand their own mistakes so that they will be less likely to make these mistakes in the future. |
X101: Learning Strategies for Math
Course Overview
2 credits, semester long, graded course. Open to all students as long as they are also enrolled in any section of Math M118: Finite Mathematics, during the same semester they are enrolled in X101.
Course Description
The long-term goal of this course is to support students in their Finite Mathematics M118 course. However, the course should not be viewed as re-teaching the "content" of M118. Rather, the course is designed to accomplish the above stated goal by helping students to become more active, independent problem solvers interested in truly understanding the mathematical concepts in contrast to a passive approach that relies on memorization, learning step-by-step procedures, and outside authority. In addition to the regularly scheduled X101 class meeting, students engage in several personal conferences with the X101 instructor and the Undergraduate Teaching Intern (UGTI), and are encouraged to attend M118 evening learning sessions with the UGTI at least once a week. The focus of these M118 evening learning sessions is on problem solving and thinking about how to do the problem solving necessary to solve M118 problems.
Course Structure
Course activities guide students to focus more on the thought processes being used rather than focusing entirely on finding the "right" answer to the problem. Students will be encouraged to become aware of, reflect upon, and consciously direct their thinking and problem-solving efforts. Another way to think about what is covered by this course is to think about success in M118 coming from not only "doing" math, but also "thinking about doing" math and "questioning what you are doing" in math. This is done primarily through expressing mathematical ideas orally and in writing as well as describing how they reached an answer or the difficulties they encountered while trying to solve a problem. In addition, students' beliefs about the nature of mathematics and themselves as learners are addressed, as well as math study skills and strategies for coping with math/test anxiety and various lecture styles.
Course Objectives
Students have the opportunity to develop skills in the following areas:
1. Understanding of Math Material
Systematically and actively reading the math textbook so that one can recognize, understand, and remember the explicit and implicit main ideas and supporting details.
Critically understanding and synthesizing the relationships between math ideas and the organization of the math text.
Integrating one's lecture and textbook notes so that one can prepare for tests.
Employing "questioning" and organized problem-solving techniques, which encourage one to become aware of, reflect upon, and consciously direct one's thinking and problem-solving efforts.
Diagnosing and monitoring one's mental processes while reading and learning math material and then writing personal reflections based on one's learning.
Addressing one's own beliefs about the nature of mathematics and learning and oneself as a math learner, and if necessary, to change and develop behaviors and beliefs that facilitate mathematics learning.
Perservering when having trouble understanding and figuring out something in one way and trying different problem-solving methods, i.e. remaining actively involved with the problem.
Develop patience to employ to employ a step-by-step procedure to learn and solve math problems.
Developing a faith in persistent systematic analysis.
Developing a concern for accuracy and an avoidance of wild guessing.
Managing time effectively to keep pace with academic demands.
Feeling more comfortable with the format of objective and subjective exams.
Coping more effectively with stress, test anxiety, and math anxiety.
Who Benefits from Taking Education X101
Students that are likely to need to take more math classes beyond M118
Students who never seem to do as well in math classes as they feel they are capable of doing
Students who find themselves working harder in math classes than their other classes, but do not receive grades as high as they would like
Students who likely will be enrolling in other quantitative classes like accounting, economics, statistics, chemistry, physics, computer programming
Students who would not be satisfied with a "C" in M118
Students who tend to rely on memorizing steps to solve problems rather than on understanding concepts
Students who tend to rely on calculators to solve math problems
Students who would like to optimize their study skills
Students who would like additional help working in a small classroom with opportunities for more structured one-on-one math homework problem-solving
Students who want to know what it takes to do well at the college level
Students who tend to procrastinate and have poor self discipline
Typically, over 50% of the students who complete X101 earn "A's" or "B's" in Finite Math, M118, and fewer than 10% receive "D's" or "F's". |
Prealgebra (Cloth) - 6th edition
Summary: Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. ''Prealgebra,'' Sixth Edition was written to help students effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success. Whole Numbers and Introduction to Algebra; Intege...show morers and Introduction to Solving Equations; Solving Equations and Problem Solving; Fractions and Mixed Numbers; Decimals; Ratio, Proportion, and Triangle Applications; Percent; Graphing and Introduction to Statistics; Geometry and Measurement; Exponents and Polynomials For all readers interested in prealgebra. ...show less
032164008X used book - book appears to be recovered - has some used book stickers - free tracking number with every order. book may have some writing or highlighting, or used book stickers on front o...show morer back ...show less
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032164008X -used |
Survey of Mathematics with Applications, A (9th Edition)
9780321759665
ISBN:
0321759664
Edition: 9 Pub Date: 2012 Publisher: Addison Wesley
Summary: This textbook serves as a broad introduction to students who are looking for an overview of mathematics. It is designed in such a way that students will actually find the text accessible and be able to easily understand and most importantly enjoy the subject matter. Students will learn what purpose math has in our lives and how it affects how we live and how we relate to it. It is not heavy on pure math; its purpose ...is as an overview of mathematics that will enlighten students without an intense background in math. If you want to obtain this and other cheap math textbooks we have many available to buy or rent in great condition online.
Allen R. Angel is the author of Survey of Mathematics with Applications, A (9th Edition), published 2012 under ISBN 9780321759665 and 0321759664. Seven hundred sixty five Survey of Mathematics with Applications, A (9th Edition) textbooks are available for sale on ValoreBooks.com, two hundred sixty one used from the cheapest price of $75.42, or buy new starting at $11980321639288ALTERNATE EDITION: ***Warning***Text Only. Still in Shrink Wrap Annotated Instructor's Copy, 9th edition but No Supplementary Materials otherwise same as student with help added tips,and answers.Shipping from California.[less] |
Created for the Connected Curriculum Project, the purpose of this module is to learn the basics of Mathematica for use in a linear algebra course. This is one resource within a larger set of learning modules hosted by...
Created by Lewis Blake and David Smith for the Connected Curriculum Project, the purposes of this module are to experiment with matrix addition, subtraction, and (mostly) multiplication; to see that many familiar...
Created by David Smith for the Connected Curriculum Project, the purpose of this module is to explore the properties of inverse matrices. Our principal tool for this exploration is the expression of elementary row...
Created by Lewis Blake for the Connected Curriculum Project, the purpose of this module is to experiment with the computation and use of eigenvalues and eigenvectors. This is part of a larger collection of learning...
Created by Betty Mayfield and John Michel for the Connected Curriculum Project, the purpose of this module is to learn the basics of MATLAB 5 for use with the linear algebra modules. This is a part of a larger... |
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I'm not a professional bowler nor a professional bowling coach, and I suggest that if any of you have the time and the money you should take advantage of one of the many excellent clinics that are available today. However, me not being a pro is the very reason I think this book will work for many average league bowlers like myself.
This book is for you if you would like to be involved in your school-going kid's math education and need to get your own basics right, or if you decided to extend your education, may be involving some computer programming, or statistics and want to be up to speed in junior high school math before taking the next step. This is not on teaching techniques.
This eBook introduces the subject of handling data, considers both information and data, probability and chance as well as the various styles of tables, pictograms, graphs, charts along with the concept of average text explains in a simple way how to make a chart from a group of measurements (or data) resuting in a graphical picture of an average. Properties of this average will be discussed. Presented are twoexample groups of data we recorded about length of a group of persons and the number of stairs needed to arrive at a classroom in a complicated building. |
use of numerical methods continues to expand rapidly. At their heart lie matrix computations. Written in a clear, expository style, it allows students and professionals to build confidence in themselves by putting the theory behind matrix computations into practice instantly. Algorithms that allow students to work examples and write programs introduce each chapter. The book then moves on to discuss more complicated theoretical material. Using a step-by-step approach, it introduces mathematical material only as it is needed. Exercises range from routine computations and verifications to extensive programming projects and challenging proofs. |
1912419
Product Description
The one-stop reference resource for teachers, students, and parents! Quick Review Math Handbook: Hot Words, Hot Topics (available in English and Spanish) provides your students and their parents with a comprehensive reference of important mathematical terms and concepts to help them build their mathematics literacy. The easy-to-use format allows parents to help their children with homework assignments and test preparation. Price: $35.80 |
Special Sets Courses
Save more and get even more comprehensive learning experiences when you order our exclusive course sets. Pairing together Great Courses that customers frequently purchase together, these special set offers are available in each of our main subject areas.
Get an intriguing treatment in this course set of two of the most mysterious concepts in physics: time and gravity. Start with Mysteries of Modern Physics: Time, in which you'll see how a fundamental law of thermodynamics defines the arrow of time. Then turn to Black Holes, Tides, and Curved Spacetime: Understanding Gravity tolearnwhy the force of gravity is the central organizing principle of the universe.
Here's an angle from which to view solutions to problems such as Internet security and cryptography, as well as fun pursuits such as games and puzzles, with this clear and entertaining course set by popular Great Courses professor Arthur T. Benjamin. Discrete Mathematics guides you through the realm of combinatorics, number theory, and graph theory in a way that anyone with a basic knowledge of high-school algebra can understand. And The Mathematics of Games and Puzzles gives you a set of math skills that can help you increase your chances of winning popular games and solving puzzlesGrasp the nature of possible future innovations in science and technology that researchers are working on right now, as well as the backstory to inventions that have already changed our world, in this fascinating course set. In Understanding the Science for Tomorrow: Myth and Reality, you'll get a survey of research going on in engineering, biology, chemistry, and theoretical physics, and the import this research will have for your life. Then, in Understanding the Inventions That Changed the World, you'll see the sometimes surprising consequences and importance of inventions we take for granted.
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Secrets of Mental Math & Joy of Mathematics (Set)
Professor Arthur T. Benjamin
Open your eyes to the wonders of mathematics with this two-course set by Professor Arthur T. Benjamin—one of the most popular members of our Great Courses faculty. The Secrets of Mental Math guides you through all the essential skills, tips, and tricks for enhancing your ability to solve a range of mathematical problems right in your head. The Joy of Mathematics reveals the amazing utility of mathematics in everything from science and engineering to finance, games of chance, and many other aspects of life.
Explore the amazing story of the origin, extinctions, regenerations, and evolutions that gave rise to our present Earth and its boundless diversity in this lavishly illustrated course set that gives you a strong grasp on how our Earth came to be over 4.54 billion years. First, in A New History of Life, you'll gain the conceptual tools to understand such fundamental ideas as fossilization, stratigraphy, cladistics, and plate tectonics, and marvel at every milestone in Earth's journey from a nascent planet to now. Then, in Major Transitions in Evolution, you'll investigate the conditions that led to the first complex cells, flying insects, flowering plants, dinosaurs, mammals, modern humans, and more.
Discover the beauty and majesty of Earth's natural wonders and ocean that set it apart from other planets in our solar system in this lavishly illustrated course set. First, in The World's Greatest Geological Wonders: 36 Spectacular Sites, you'll learn about the geological forces that created our planet's most awe-inspiring waterfalls, volcanoes, canyons, deserts, fjords, lava lakes, and other intriguing geological formations, both famous and obscure. Then, in Oceanography: Exploring Earth's Final Wilderness, you'll investigate discoveries of the last half-century to gain a comprehensive picture of how the ocean works and how it affects the atmosphere, continents, and the web of life.
Track the fascinating development of our home planet from the Big Bang to modern day through the ten stages of mineral evolution in The Origin and Evolution of Earth. Marvel as the planet is resculpted before your very eyes! With your new appreciation of how Earth has evolved, dive deep into the "owner's manual" of this intricate system in How the Earth Works, gaining a more comprehensive picture of our planet. |
Calculus textbook is a college-level, introductory textbook that covers the fascinating subject of Calculus. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:Building Blocks of Calculus -- Precalculus Review, Functions and Models, LimitsDerivatives and Integrals -- Derivatives, Applications of Differentiation, Integrals, Applications of IntegrationInverse Functions and Advanced Integration -- Inverse Functions: Exponential, Logarithmic, and Trigonometric Functions, Techniques of Integration, Further Applications of IntegrationDifferential Equations, Parametric Equations, and Sequences and Series -- Differential Equations, Parametric Equations and Polar Coordinates, Infinite Sequences and SeriesAdvanced Topics in Single-Variable Calculus and an Multivariable Calculus -- Vectors and the Geometry of Space, Vector Functions, Partial Derivatives, Multiple Integrals, Vector Calculus, Second-Order Linear Equations Statistics textbook is a college-level, introductory textbook that covers the fascinating subject of Statistics, a branch of mathematics often highly relevant to everyday situations. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:Statistics and Statistical Thinking – OverviewStatistics in Practice -- Observational Studies, Controlled ExperimentsVisualizing Data -- The Histogram, Graphing DataFrequency Distributions -- Frequency Distributions for Quantitative Data, Frequency Distributions for Qualitative DataDescribing, Exploring, and Comparing Data -- Central Tendancy, Measures of Relative Standing, The Law of Averages, Further Considerations for DataMeasures of Variation -- Describing VariabilitySampling -- Populations and Samples, Sample Surveys, Sampling Distributions, Errors in Sampling, Sampling ExamplesProbability -- What Are the Chances?, Probability Rules, More About ChanceProbability and Variability -- Discrete Random Variables, The Binomial Random Variable, Other Random VariablesContinuous Random Variables -- The Normal Curve, Normal Approximation for Data, Measurement Error, Expected Value and Standard Error, Normal Approximation for Probability HistogramsCorrelation and Regression -- Correlation, More About Correlation, Regression, The Regression Line, R.M.S. Error for Regression, Multiple RegressionEstimation and Hypothesis Testing -- Estimation, Confidence Intervals, Hypothesis Testing, Hypothesis Testing with Two Samples, Comparing More than Two Means, The F-Test, Analysis of Variance (Repeated Measures)Other Hypothesis Tests -- The T-Test, The Chi-Squared Test, Tests for Ranked Data, Nonparametric StatisticsA Closer Look at Tests of Significance -- Which Test?, A Closer Look at Tests of Significance Algebra I Second Edition is a clear presentation of algebra for the high school student. Volume 1 includes the first 6 chapters and covers the following topics: Equations and Functions, Real Numbers, Equations of Lines, Graphs of Equations and Functions, Writing Linear Equations, and Linear Inequalities 1 includes the first Basic Probability and Statistics – A Short Course is an introduction to theoretical probability and data organization. Students learn about events, conditions, random variables, and graphs and tables that allow them to manage data 2 includes the last Advanced Probability and Statistics-Second Edition is a clear presentation of the basic topics in statistics and probability, but finishes with the rigorous topics an advanced placement course requires. Volume 1 includes the first 6 chapters and covers the following topics: Analyzing Statistical Data, Visualizations of Data, Discrete Probability Distribution, Normal Distribution, and Experimentation.' |
Intro to Algebra
Topic: Curriculum and Instruction
Instructor: Dan Vincent
Method: Online (OWRK)
Sponsor: AU Elyria Center
Location: EPD
Course Description:
Develop a rich understanding of the rudiments of algebra in a relaxed and supportive learning environment. This course will help you understand some of the most important algebraic concepts, including orders of operation, units of measurement, scientific notation, algebraic equations, inequalities with one variable, and applications of rational numbers.
An emphasis on practical applications for your newfound skills will help you learn to reason in a real-world context. As a result, you will acquire a wide variety of basic skills that will help you find solutions to almost any problem.
This unique and thought-provoking course integrates algebra with many other areas of study, including history, biology, geography, business, government, and more. By the time you finish this course, you will understand how algebra is relevant to almost every aspect of your daily life.
Students interested in enrolling in this class must contact Dr. Dan Vincent for information on:
- class requirements and procedures
- enrollment through ed2go prior to enrolling for Ashland University credit |
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Starting at $97 an introduction to the main concepts of combinatorics, features fundamental results, discusses interconnection and problem-solving techniques, and collects and disseminates open problems that raise questions and observations.is the ideal text for advanced undergraduate and early graduate courses in this subject. The Second Edition contains over fifty new examples that illustrate important combinatorial concepts and range from the routine (i.e. special kinds of sets, functions, and sequences) to the advanced (i.e. the SET game, the Gitterpunktproblem, and enumeration of partial orders). The tables and references are been updated throughout, reflecting advances in Ramsey numbers and Thomas Hales' solution of Kepler's conjecture). In addition, many exciting new computer programs and exercises have been incorporated to help readers understand and apply combinatorial techniques and ideas. The author has now made it possible for readers to encode and execute programs for formulas that were previously inaccessible, allowing for a deeper, investigative study of combinatorics. Each of the book's three sections, Existence, Enumeration, and Construction, begin with a simply stated first principle, which is then developed step-by-step until it leads to one of the three major achievements of combinatorics: Van der Waerden's theorem on arithmetic progressions, Polya's graph enumeration formula, and Leech's 24-dimensional lattice. Many important combinatorial methods are revisited and repeated several times throughout the book in exercises, examples, theorems, and proofs alike, enabling readers to build confidence and reinforce their understanding of complex material.
Author Biography
MARTIN J. ERICKSON, PhD, is Professor in the Department of Mathematics at Truman State University. The author of numerous books, including Mathematics for the Liberal Arts (Wiley), he is a member of the American Mathematical Society, Mathematical Association of America, and American Association of University Professors. |
Many questions along the lines about the benefit of mathematics in our daily lives and why it is heavily taught in both the general education and university have been inquired. Perhaps the right question is what is the area in which mathematics has no benefit?
Mathematics is the basis of science in both its theoretical and applied divisions. It offers effective methods in statistics, data and decision-making, the issues of profits and losses as well as in the narrow fields of computer programming. It also plays a great deal in encryption, modeling of the problems facing the community and finding solutions to them, and many of the engineering and medical applications.
Finally, on my behalf and on behalf of all my fellow members of the faculty acknowledge the great efforts of His Excellency Mr. Dean and His Excellency the Vice-Dean as well as welcome all of our students and look forward to working together to rediscover the effectiveness of mathematics and its central role in our lives.
3- Department's Message
The provision of educational service and research services for undergraduate and master's degree in mathematics, allowing them to get all the opportunity to a better education enabling them to compete in the currency of globalization to meet the needs of the community while preserving the Islamic values.
4 – Department's Vision The Department looks to be a pioneer at the local, regional and international in both of the educational and research areas through the study of problems and actual contribution to scientific research to find appropriate solutions to be linked to the research community while preserving the environment.
5 - Objectives:
The Department of Mathematics aims in the context of the overall objectives of the Faculty of Science and objectives of the Department of Mathematics to the following:
• preparing qualified staff to contribute in the comprehensive development witnessed by the Kingdom in various areas of life. • filling posts of specialization in any place in both public and private sectors. • upgrading scientific research in the field of mathematics, statistics; studying of mathematical and statistical problems; carrying out scientific research to find appropriate solutions and participating in national and international conferences.
6 - Study approach in the department:
BA: Student in the Faculty of Science spends four years spread over eight semesters. The study courses include the core courses (the requirements of the University - Faculty of requirements -the requirements of the department and specialization). The student must finish 136 units of study.
7 - Entry requirements for the department:
• -General assimilation of the Department • Cumulative average for the student • The wishes of the student
8 - Serving the environment and Society: • Teaching Mathematics and Statistics in the different colleges. • Participating in research projects for the environment and society. • Participating in various committees within and outside the college. • Participating in cultural and scientific activities at the college and university.
9 - Career Opportunities for Graduates:
• working in the education in both sectors, public and private. • Working as research assistant in the department or in any other Math departments at the Kingdom Universities. • working in research centers. • working in the military sector. • Working in IT as data analysts and shareholders in the preparation of strategic plans. |
Littleton City Offices, CO CalculusThis approach requires two things - practice and patience. The best way to learn to talk this kind of math is by doing it - so let's dive in and talk math! Finally, math is about more than just solving problems - it's about understanding and communication |
Keep your tenth grader involved and excited about geometry to the very end with the Lifepac Geometry Unit 10 Worktext! This colorful, interesting worktext serves as a comprehensive review of the entire year. Topics reviewed include proofs, angles, area and volume, polygons, circles, and more. Tests are included. Format: Paperback. Grade Level: 10th Grade.
Want to teach your teen how to find area and volume? Not sure how to explain formulas clearly? Just get the Lifepac 10th Geometry Unit 8 Worktext! This slim, consumable worktext is packed with step-by-step lessons that cover how to find area of polygons, circles, and the surface area and volume of solid shapes! Tests are included. Format: Paperback. Grade Level: 10th Grade.
Are you dreading each day's geometry lesson and thinking there's got to be a better way to help your tenth grader learn congruency? Then you need to check out the Lifepac Geometry Unit 4 Worktext! This consumable worktext's self-paced, easy-to-understand lessons will clearly explain this upper-level math topic to your teen! Tests are included. Format: Paperback. Grade Level: 10th Grade. 8 covers Triangles, Parallel Lines, Similar Polygons 1 covers Lines and Segments 2 covers Circles 4 covers Perpendiculars.Format: PaperbackPublisher: Key Curriculum Press |
05342026ential Mathematics With Geometry
Authors Gustafson and Frisk present simple arithmetic, geometry, and algebra concepts in a way that vividly shows how the language of numbers plays an integral role in day-to-day life. Because Essential Mathematics with Geometry is more comprehensive than most workbooks and reaches up into the topics of intermediate algebra, it provides the prerequisite background for either a college algebra or a finite mathematics course. Effective in both the classroom and the laboratory, this is one book that contains numerous features that help bring mathematics down to earth |
Math
The mathematics curriculum is designed to provide a rigorous foundation in the basics of mathematics and the tools to foster logical thought and analysis. Critical thinking, collaboration and mathematical modeling are emphasized at all levels. In all mathematics courses, faculty help students develop successful study skills and effective test-preparation techniques.
For students whose backgrounds and aptitudes are strong, there are advanced sections of courses in our core curriculum. These include A.P. Calculus BC, Multivariable Calculus with Differential Equations, Linear Algebra, and Advanced Math/Science Research. Each of these courses allow students who are passionate about mathematics to pursue excellence in the subject at the highest level. |
Computer Algebra and Symbolic Computation: Elementary Algorithms provides a systematic approach for the algorithmic formulation and implementation of...... more
Computer Algebra and Symbolic Computation: Elementary Algorithms provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and construct expressions, we can implement many elementary operations from algebra, trigonometry, calculus, and differential equations. With a minimum of prerequisites, this book is accessible and useful to students of mathematics, computer science, and other technical fields. The book contains a CD with the full, searchable text and implementations of all algorithms in Maple, Mathematica, and MuPad programming languages.
A First Course in Scientific Computing Offers a different approach to introductory scientific computing. This title aims to make students comfortable using...... more
A First Course in Scientific Computing Offers a different approach to introductory scientific computing. This title aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together. Full description
Analytical Methods in Anisotropic Elasticity Focuses on the mathematical techniques and solution methodologies required to establish the foundations of...... more
Analytical Methods in Anisotropic Elasticity Focuses on the mathematical techniques and solution methodologies required to establish the foundations of anisotropic elasticity and provides the theoretical background for composite material analysis. This work is useful for graduate students and professors, applied mathematicians, numerical analysts, scientists, engineers, and researchers. Full description
Carry on this computer keyboard is made ??especially for women blonde and beyond favorite color of women in pink. The funny blondes keyboard is a real must for...... more
Carry on this computer keyboard is made ??especially for women blonde and beyond favorite color of women in pink. The funny blondes keyboard is a real must for all IT girlies and women who can not necessarily good with the computer. The ESC key on the keyboard, for example, with a No! decorated and of course the well-known Any Key button is available. A very fun gift for all the blondes and ladies who love the crazy and cool computer accessories on everything features: - English lettering - German and english layout (Y and Z is below the top) - Quick Start Guide in English - USB port (plug and play) - Suitable for all Microsoft operating systems as well as Mac and Linux (The USB are in working order) Direct import from the USA the keyboard layout could be modified for english users. You can change and replace the keys Z and Y by yourself.
Iconography as a crucial form of communication long before computers, and the myriad ways in which signs and symbols are integrated into the age of digital...... more
Iconography as a crucial form of communication long before computers, and the myriad ways in which signs and symbols are integrated into the age of digital information, form the two parts of this book.
Reviews »
...If you loved the Da Vinci Code, you'll enjoy this. Conversely, if you've found Dan Brown's work to be piles of bombastic tosh, you'll most likely feel much the same way about the Lost Symbol.
Dan Brown is many things as an author - insert your choice of adjectives as appropriate. One quality he does possess amongst this array is reliability; if you appreciate fast-paced narratives that read...
...'The Lost Symbol is the latest offering from Dan Brown featuring Harvard Symbologist Robert Langdon and like all avid readers of his work I was looking forward to reading the book.
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At 6am on a Sunday morning Robert Langdon receives a message from his mentor and friend, prominent 33rd Degree Mason Peter Solomon, to conduct a lecture in Washington?s Capitol Building and not wanting to let...
...Book Info:
Name: The Lost Symbol
Author: Dan Brown
Released: September 2009
Series: Robert Langdon Stories
Awards: N/A
I think one of the best qualities I love so much in books is their unique ability to diversify into so many genres, so many avenues to flow through, one being a hilarious family adventure, another being a steamy, albeit cheesy... |
978078796598 Teacher's Activities Kit is a unique resource that provides 150 ready-to-use algebra activities designed to help students in grades 6-12 master pre-algebra, Algebra I, and Algebra II. The book covers the skills typically included in an algebra curriculum. Developed to motivate and challenge students, many of the activities focus on real-life applications. Each of the book's ten sections contains teaching suggestions that provide teachers with strategies for implementing activities and are accompanied by helpful answer keys. The activities supply students with quick feedback, and many of the answers are self-correcting.
Each activity stands alone and can be applied in the manner that best fits your particular teaching program. Algebra Teacher's Activities Kit can be used as a supplement to your instructional program, to reinforce skills and concepts you've previously taught, for extra credit assignments, or to assist substitute teachers.
For quick access and easy use, the activities are printed in a big 8 1/2" x 11" lay-flat format for photocopying and are organized into ten sections.
GRAPHING LINEAR EQUATIONS AND INEQUALITIES is packed with 15 activities, including Graphing Points on the Coordinate Plane . . . Finding the Slope of a Line . . . Solving Systems of Equations by Graphing.
BASIC OPERATIONS WITH MONOMIALS AND POLYNOMIALS offers 12 activities, such as Using the Terms of Polynomials . . . Finding Powers of Monomials . . . Finding Cubes of Binomials.
FACTORS OF MONOMIALS AND POLYNOMIALS features 12 exercises, such as Finding the Missing Factor . . . Factoring Trinomials . . . Factoring the Sum and Difference of Cubes. |
Intermediate Algebra - 5th edition
Summary: Larson IS student success. INTERMEDIATE ALGEBRA 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 concep...show morets and understand the content. With a bright, appealing design, the new Fifth 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$1116.89 +$3.99 s/h
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A Book Company Lexington, KY
May contain some highlighting. Supplemental materials may not be included. We select best copy available. - 5th Edition - Hardcover - ISBN 9780547102177
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0547102178 |
What is PUNCH LINE MATH WORKSHEET ANSWERS?
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The Advanced Algebra Tutor: Learning By Example DVD Series teaches students through step-by-step example problems that progressively become more difficult. This DVD covers the Binomial Theorem in algebra, including what the Binomial Theorem is and why it is important. Grades 9-College. 24 minutes on DVD. |
Learn Multimedia Algebra in Win95
08/01/96
Algebra in Simplest Terms is a 24-lesson CD-ROM series that reviews fundamental and teaches advanced algebra concepts, using an electronic textbook format. Based on the successful PBS College Algebra series produced by COMAP's Sol Garfunkel, Ph.D., the course combines professionally produced video and text narration with an online dictionary and graphing calculator, management system, placement tests and more. More than 2,000 instructional screens as well as 2,200 tests and exercise questions are integrated. The program starts with a lesson on the Language of Algebra and concludes with a Probabilities lesson. It also provides feedback for questions and exercises, reinforcing key concepts. Liafail, Inc., Minneapolis, MN, (612) 925-3727.W |
of the Chapter 7 Test are available in the Pre-Algebra Spanish Assessment …… b. Explain how you determined your answer to part a. …
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Course Title: PRE-ALGEBRA B Course Description
Complete: all even-numbered problems in Chapter 7. …. Unit and/or final test. • All textbook work must meet the 70% accuracy level for a "C†grade. Page 5. PRE-ALGEBRA B. C. Record the numbers on your electric meter at home at the …
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Prealgebra, Fourth Edition, Lial and Hestwood. ISBN: 0558525881. … If you are planning to take additional math classes, you should plan to get an "A†or "B†… problems have answers in the back of the book, so you should be getting 100% on the … Chapter 6. Section 6.1 to 6.4, Review, Test. 4-7-10. Chapter 7 …
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9 Jan 2010 … the drop date, only evaluative grades (A, B, C, D, F, P or NP) may be given. … Showing Work and Using Algebra: In this Prealgebra class we will be … points are assigned to steps as well as to the final answer. … 7. Extra practice and review: Reviews and chapter tests at the end of each chapter …
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Required: MyMathLab Access Kit or Prealgebra 4 …. Check the syllabus to see what the test covers. Some tests cover one chapter and others cover two. … IMPORTANT: You are not to remove your graded test or answer sheets from the Center. … a zero on a test, you can make-up the test after completing Test 7. … syll_fa06.pdf
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Expected Outcomes: Pre-Algebra skills to be learned are: operations on whole numbers, … B. 79% – 70%. C. *Note: In order to proceed to the next course you must pass … reader which answers go with which problems and/or their various parts. … must occur before the next chapter test. If you fail to retest before …
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Text: PRE ALGEBRA: HARVEST YOUR MATH SKILLS. MATERIALS: … will result in a 0 for the test/work and possibly failing grade for the course. … Each correct answer will be worth 1 point. At the end of the … The chapter tests will be given in two parts, they are: … 4.0 A 94-100% 2.7 B- 80-82.9% 1.3 D+ 64-67.9% … SYLLABUS – Math 0970 Spring 2009.pdf
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Monday through Thursdays from 7:45 to 8:05 a.m. and 2:55 to 3:30 p.m. … 82-80 B- … absent work for a chapter will be accepted after the chapter test. … each other when appropriate, but not to just give out answers. … Pre-Algebra. Please sign and return the bottom portion of this page to Mrs. Smith by Friday …
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Chapter 7 TIMSS, COMMON SENSE, AND THE CURRICULUM
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Exposition in Mathematica Notebooks
Mathematica notebooks provide the basic technology that you need to be able to create a very wide range of sophisticated interactive documents. But to get the best out of this technology you need to develop an appropriate style of exposition.
Many people at first tend to use Mathematica notebooks either as simple worksheets containing a sequence of input and output lines, or as onscreen versions of traditional books and other printed material. But the most effective and productive uses of Mathematica notebooks tend to lie at neither one of these extremes, and instead typically involve a fine-grained mixing of Mathematica input and output with explanatory text. In most cases the single most important factor in obtaining such fine-grained mixing is uniform use of the Mathematica language.
One might think that there would tend to be four kinds of material in a Mathematica notebook: plain text, mathematical formulas, computer code, and interactive interfaces. But one of the key ideas of Mathematica is to provide a single language that offers the best of both traditional mathematical formulas and computer code.
In StandardForm, Mathematica expressions have the same kind of compactness and elegance as traditional mathematical formulas. But unlike such formulas, Mathematica expressions are set up in a completely consistent and uniform way. As a result, if you use Mathematica expressions, then regardless of your subject matter, you never have to go back and reexplain your basic notation: it is always just the notation of the Mathematica language. In addition, if you set up your explanations in terms of Mathematica expressions, then a reader of your notebook can immediately take what you have given, and actually execute it as Mathematica input.
If one has spent many years working with traditional mathematical notation, then it takes a little time to get used to seeing mathematical facts presented as StandardFormMathematica expressions. Indeed, at first one often has a tendency to try to use TraditionalForm whenever possible, perhaps with hidden tags to indicate its interpretation. But quite soon one tends to evolve to a mixture of StandardForm and TraditionalForm. And in the end it becomes clear that StandardForm alone is for most purposes the most effective form of presentation.
In traditional mathematical exposition, there are many tricks for replacing chunks of text by fragments of formulas. In StandardForm many of these same tricks can be used. But the fact that Mathematica expressions can represent not only mathematical objects but also procedures, algorithms, graphics, and interfaces increases greatly the extent to which chunks of text can be replaced by shorter and more precise material. |
This site provides a comprehensive record of M.C. Escher's life, including links to approximately twenty images of his works...
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This site provides a comprehensive record of M.C. Escher's life, including links to approximately twenty images of his works of art as well as to a number of additional resources. Excellent presentation.
The material presented in the following pages are for middle school students, high school students, college students, and all...
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The material presented in the following pages are for middle school students, high school students, college students, and all who are interested in mathematics. You will find interactive programs that you can manipulate and a lot of animation that helps you to grasp the meaning of mathematical ideas.
A collection of puzzles ranging over geometry, probability, number theory, algebra, calculus, and logic. Hints are provided,...
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A collection of puzzles ranging over geometry, probability, number theory, algebra, calculus, and logic. Hints are provided, along with fully worked solutions, and links to related mathematical topics.
This site is designed to answer many important questions regarding carrers and professional placement of math majors. It...
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This site is designed to answer many important questions regarding carrers and professional placement of math majors. It contains very useful statistical data on the subject as well as information on different connections between mathematics and real life. The site can be very useful for all kinds of professional orientation sessions for math majors.
Symmetry is used to analyze the patterns in Oriental carpets. Educational activities are provided along with other...
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Symmetry is used to analyze the patterns in Oriental carpets. Educational activities are provided along with other educational resources. This web site is a collaborative project of The Textile Museum and The Math Forum.
College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity involving Florida's population growth. The results show that students often do not have a clear grasp of the differences between linear growth and exponential growth.
College Algebra or Liberal Arts math students are presented with three Questions of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with three Questions of the Day and a write-pair-share activity involving Florida's population growth (other states may be used in place of Florida). The results are quite revealing and show that while students may have learned how to perform the necessary calculations, their conceptual understanding concerning exponential growth may remain faulty. Student knowledge (or lack thereof) of the size of their state's population and its annual growth rate may also be surprising.
A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the...
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A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the goal is to explain WHY the puzzles have their respective answers. A link to the page containing the easier puzzles is provided. This site is a sub-page of the larger site, Fibonacci Numbers and the Golden Section. |
Choose values of p and q in the equation x^2 + px + q = 0, and see determinations of the real roots by completing the square and use of the quadratic formula as well as a graphical visualization of th... More: lessons, discussions, ratings, reviews,...
MathStudio is an open-source program intended to be an easy and powerful symbolic calculator. It differs from other programs of this type both because of the way the user inputs the expression and bec... More: lessons, discussions, ratings, reviews,...
This module is designed to remind learners how to measure and find the area of a rectangle, using factsheets, worksheets, a quiz at multiple levels of difficulty, and a brief video applying these idea... More: lessons, discussions, ratings, reviews,...
Students manipulate a rectangle and a parallelogram in this applet to explore their respective properties. The surrounding page gives teachers some ideas of reflection questions to ask their students,... |
The word 'algebra' is actually derived from the name of the Arabic method presented in a textbook written in Baghdad about 1200 years ago. Most students are familiar with solving for the unknown in basic arithmetic. Algebra takes this a step further by offering a sytematic way of solving real-life problems and calculating unknown quantities |
Algebra - Wikipedia, the free encyclopedia
Algebra (from Arabic al-jebr meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. As such ...
Praveen used algebra to write 'Chandamamaa' screenplay Vancouver Desi "To allocate equal screen space for the lead characters, I used algebraic equations to distribute time. The biggest challenge was distributing equal time for all these actors and their respective stories," Praveen told IANS. "It was very important that ... and more »
Pinellas ninth-graders might get summer help with algebra Tbo.com While Summer Bridge is meant to help students who are falling behind grade level, the new Algebra Boot Camp specifically targets incoming ninth-graders who have not taken an Algebra 1 course. During the six-week course, students will learn the skills ...
Algebra Nation To Add Teacher Training T.H.E. Journal A "design and build" shop for education at the University of Florida just received a $250,000 grant to build a teacher network to go along with a new tool introduced in 2013 to help students with algebra. The Lastinger Center for Learning, which ... and more »
An algebra election The Maravi Post "I'm surprised none of you has not discussed the role of the Northern Region in these elections." Everyone become quite briefly. "The North, yes." "But we have only 1.1 million votes here." "Which is why the North will be a decider in these elections ... |
Clearly written and comprehensive, the eleventh edition of Gustafson and Hughes' popular book, COLLEGE ALGEBRA, provides in-depth and precise coverage ... more », incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanations to give readers a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help learners quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life. Retaining the mathematical precision instructors have come to expect, the authors have focused on making this new edition more modern to better illustrate the importance of math in our world50.04 Quarter (90 days): $46.51 Short term (60 days): $44.32 Short term (45 days): $43.3 Short term (30 days): $42.29 BiggerBooks Textbook Description: In Stock Usually Ships Within63.19 Quarter (90 days): $58.71 Short term (60 days): $55.95 Short term (45 days): $54.67 Short term (30 days): $53.39 deliveryBook Seller: Bookbyte Textbook Description: Rent - New (semester)Same as student edition with additional notes or answers. All text is legible, may contain markings, cover wear, loose/torn pages or staining and much writing. *FREE shipping on this item*
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Books
Artificial Intelligence
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories.Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: *Sums *Recurrences *Integer functions *Elementary number theory *Binomial coefficients *Generating functions *Discrete probability *Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. 0201558025B04062001
Artificial Intelligence helps choose what books you buy, what movies you see, and even who you date. It puts the "smart" in your smartphone and soon it will drive your car. It makes most of the trades on Wall Street, and controls vital energy, water, and transportation infrastructure. But Artificial Intelligence can also threaten our existence.
In as little as a decade, AI could match and then surpass human intelligence. Corporations and government agencies are pouring billions into achieving AI's Holy Grail—human-level intelligence. Once AI has attained it, scientists argue, it will have survival drives much like our own. We may be forced to compete with a rival more cunning, more powerful, and more alien than we can imagine.
Through profiles of tech visionaries, industry watchdogs, and groundbreaking AI systems, Our Final Invention explores the perils of the heedless pursuit of advanced AI. Until now, human intelligence has had no rival. Can we coexist with beings whose intelligence dwarfs our own? And will they allow us to? Arduino offers you countless ways to create devices that interact with the world around you.
In Arduino Workshop, you'll learn how these add-ons work and how to integrate them into your own projects. You'll start off with an overview of the Arduino system but quickly move on to coverage of various electronic components and concepts. Hands-on projects throughout the book reinforce what you've learned and show you how to apply that knowledge. As your understanding grows, the projects increase in complexity and sophistication.
Among the book's 65 projects are useful devices like:
A digital thermometer that charts temperature changes on an LCD
A GPS logger that records data from your travels, which can be displayed on Google Maps
A handy tester that lets you check the voltage of any single-cell battery
A keypad-controlled lock that requires a secret code to open
You'll also learn to build Arduino toys and games like:
An electronic version of the classic six-sided die
A binary quiz game that challenges your number conversion skills
A motorized remote control tank with collision detection to keep it from crashing
Arduino Workshop will teach you the tricks and design principles of a master craftsman. Whatever your skill level, you'll have fun as you learn to harness the power of the Arduino for your own DIY projects.
.
Practical data design tips from a data visualization expert of the modern age
Data doesn?t decrease; it is ever-increasing and can be overwhelming to organize in a way that makes sense to its intended audience. Wouldn?t it be wonderful if we could actually visualize data in such a way that we could maximize its potential and tell a story in a clear, concise manner? Thanks to the creative genius of Nathan Yau, we can. With this full-color book, data visualization guru and author Nathan Yau uses step-by-step tutorials to show you how to visualize and tell stories with data. He explains how to gather, parse, and format data and then design high quality graphics that help you explore and present patterns, outliers, and relationships.
Presents a unique approach to visualizing and telling stories with data, from a data visualization expert and the creator of flowingdata.com, Nathan Yau
Details tools that can be used to visualize data-native graphics for the Web, such as ActionScript, Flash libraries, PHP, and JavaScript and tools to design graphics for print, such as R and Illustrator
Contains numerous examples and descriptions of patterns and outliers and explains how to show them
Visualize This demonstrates how to explain data visually so that you can present your information in a way that is easy to understand and appealing.
From the Author: Telling Stories with Data
Author Nathan Yau
A common mistake in data design is to approach a project with a visual layout before looking at your data. This leads to graphics that lack context and provide little value. Visualize This teaches you a data-first approach. Explore what your data has to say first, and you can design graphics that mean something.
Visualization and data design all come easier with practice, and you can advance your skills with every new dataset and project. To begin though, you need a proper foundation and know what tools are available to you (but not let them bog you down). I wrote Visualize This with that in mind.
You'll be exposed to a variety of software and code and jump right into real-world datasets so that you can learn visualization by doing, and most importantly be able to apply what you learn to your own data.
Three Data Visualization Steps:
1) Ask a Question
(Click Graphic to See Larger Version)
When you get a dataset, it sometimes is a challenge figuring out where to start, especially when it's a large dataset. Approach your data with a simple curiosity or a question that you want answered, and go from there.
2) Explore Your Data
(Click Graphic to See Larger Version)
A simple curiosity often leads to more questions, which are a good guide for what stories to dig into. What variables are related to each other? Can you see changes over time? Are there any features in the data that stand out? Find out all you can about your data, because the more you know what's behind the numbers, the better story you can tell.
3) Visualize Your Data
(Click Graphic to See Larger Version)
Once you know the important parts of your data, you can design graphics the best way you see fit. Use shapes, colors, and sizes that make sense and help tell your story clearly to readers. While the base of your charts and graphs will share many of the same properties – bars, slices, dots, and lines – the final design elements will and should vary by your unique dataset.
Want to know how to use an electronic component? This first book of a three-volume set includes key information on electronics parts for your projects—complete with photographs, schematics, and diagrams. You'll learn what each one does, how it works, why it's useful, and what variants exist. No matter how much you know about electronics, you'll find fascinating details you've never come across before.
Convenient, concise, well-organized, and precise
Perfect for teachers, hobbyists, engineers, and students of all ages, this reference puts reliable, fact-checked information right at your fingertips—whether you're refreshing your memory or exploring a component for the first time. Beginners will quickly grasp important concepts, and more experienced users will find the specific details their projects require.
Unique: the first and only encyclopedia set on electronic components, distilled into three separate volumes
Incredibly detailed: includes information distilled from hundreds of sources
Easy to browse: parts are clearly organized by component type
Authoritative: fact-checked by expert advisors to ensure that the information is both current and accurate
Reliable: a more consistent source of information than online sources, product datasheets, and manufacturer's tutorials
Instructive: each component description provides details about substitutions, common problems, and workarounds
Data Mining: Practical Machine Learning Tools and Techniques offers a thorough grounding in machine learning concepts as well as practical advice on applying machine learning tools and techniques in real-world data mining situations. This highly anticipated third edition of the most acclaimed work on data mining and machine learning will teach you everything you need to know about preparing inputs, interpreting outputs, evaluating results, and the algorithmic methods at the heart of successful data mining.
Thorough updates reflect the technical changes and modernizations that have taken place in the field since the last edition, including new material on Data Transformations, Ensemble Learning, Massive Data Sets, Multi-instance Learning, plus a new version of the popular Weka machine learning software developed by the authors. Witten, Frank, and Hall include both tried-and-true techniques of today as well as methods at the leading edge of contemporary research.
A news-breaking account of the global stock market's subterranean battles, Dark Pools portrays the rise of the "bots"- artificially intelligent systems that execute trades in milliseconds and use the cover of darkness to out-maneuver the humans who've created them. Island where small traders swapped stocks, and over time his invention morphed into a global electronic stock market that sent trillions in capital through a vast jungle of fiber-optic cables.
By then, the market that Levine had sought to fix had turned upside down, birthing secretive exchanges called dark pools and a new species of trading machines that could think, and that seemed, ominously, to be slipping the control of their human masters.
Dark Pools is the fascinating story of how global markets have been hijacked by trading robots--many so self-directed that humans can't predict what they'll do next.0 |
Product description
Algebra 2 Student Text (2nd ed.) focuses on developing thinking and reasoning skills through the discussions of algebra concepts such as quadratic equations, polynomials, complex numbers, and trigonometry. Relevant applications and examples are presented in the feature sections "Algebra and Scripture" and "Algebra Around the World." Reference tables and a glossary of algebra terms are included in the back of the book.
Type: Paperback (Student/Stdy Gde)Category: > Home SchoolingISBN / UPC: 9781591669852/1591669855Publish Date: 9/1/2009Item No: 122310Vendor: Bob Jones University Press |
ElementaryStatistics: A Step By Step Approach is for introductory statistics courses with a basic algebra prerequisite. The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. In recent editions, Al Bluman has placed more emphasis on conceptual understanding and understanding results, along with increased focus on Excel, MINITAB, and the TI-83 Plus and TI-84 Plus graphing calculators; computing technologies commonly used in such courses.
Elementary Statistics 8th Edition ( Rapidgator - Netload )
Weiss's ElementaryStatistics, Eighth Edition is the ideal textbook for introductory statistics classes that emphasize statistical reasoning and critical thinking. Comprehensive in its coverage, Weiss's meticulous style offers careful, detailed explanations to ease the learning process. With more than 2,000 exercises, most using real data, there is a wealth of opportunity for students to apply their knowledge and develop statistical literacy. The text is suitable for a one-semester course 10th edition ( Netload - Rapidgator )
Succeed in statistics with ELEMENTARYSTATISTICS! Including relevant examples, exercises, and applications, this textbook gives you the tools you need to get a good grade in your statistics course. Struggling with a specific concept? Log onto Personal Tutor with SMARTHINKING to get live, one-on-one online tutoring from a statistician who has a copy of the textbook. Video Skillbuilders and StatisticsNow (an online learning tool built around your individual progress that gives you a simple pre-test, and then focuses your learning experience on your studying needs) provide additional online support. Learning to use MINITAB, Excel, and the TI-83/84 graphing calculator is made easy with instructions included in relevant sections throughout the text.
Elementary Statistics 11th edition ( Netload - Rapidgator )
Succeed in statistics with ELEMENTARYSTATISTICS! With its down-to-earth writing style and relevant examples, exercises, and applications, this book gives you the tools you need to make the grade in your statistics course. Learning to use MINITAB, Excel, and the TI-83/84 graphing calculator is made easy with output and instructions included throughout the text. Need extra help? A wealth of online supplements offers you guided tutorial support, step-by-step video solutions, and immediate feedback (10th Edition) ( Extabit - Rapidgator )
Addison-Wesley is proud to celebrate the Tenth Edition of ElementaryStatistics. This text is highly regarded because of its engaging and understandable introduction to statistics. The author's commitment to providing student-friendly guidance through the material and giving students opportunities to apply their newly learned skills in a real-world context has made ElementaryStatistics the #1 best-seller in the market New What Will We Learn opening paragraphs set the stage for the material being discussed. Using Statistics Wisely boxes summarize key lessons. In addition, Statistics in Context sections give business professionals an understanding of applications in which a statistical approach to variation is needed.
ElementaryStatisticsA Practical Approach to using Multivariate Analyses UsingUsingBASIC STATISTICS FOR THE BEHAVIORAL SCIENCES demystifies and fully explains statistics without leaving out relevant topics or simply presenting formulas, in a format that is non-threatening and inviting to students. The authors clear, patiently crafted explanations, with an occasional touch of humor, teach students not only how to compute an answer, but also why they should perform the procedure or what their answer reveals about the data. |
Instructor Class Description
Learning Strategies in Mathematics
Explores applications of formulae, computational skills, and interpreting certain quantities. Reviews study techniques to enhance course comprehension, and the pros and cons of the use of calculators in a math class. Co-requisite: either B CUSP 122 or B CUSP 123. Credit/no-credit only. Offered: AWSp.
Class description
This course is supplemental to BCUSP 122 and prepares students for success in college-level math classes. This course focuses on strengthening computational skills and exploring learning strategies for use in mathematics and other technical disciplines.
Student learning goals
Manipulate and solve algebraic problems.
Present a solution to a mathematical problem in a logical and systematic way.
Class time will be spent working independently and in groups to improve computational skills and in interactive workshops.
Recommended preparation
Students must be registered in BCUSP 122 to take this support class.
Class assignments and grading
There will be online assignments and individual and group work. Grades will be based on studentís performance on this Bilin Z Stiber
Date: 02/05/2014
Office of the Registrar
For problems and questions about this web page contact icd@u.washington.edu,
otherwise contact the instructor or department directly.
Modified:April 17, 2014 |
UA preparatory math goes virtual
Apr 26, 2011 By La Monica Everett-Haynes
Is this what flashes across your mental screen when you think about math? The UA's mathematics department is piloting a new course, Math 100, which is designed to help students who struggle with university-level math. The course provides personalized instruction with a heavy emphasis on tutoring, peer support and the use of technology.
The University of Arizona's math department is experimenting with a novel approach to early math instruction – one with a heavy emphasis on technology and peer-to-peer tutoring.
Arguably, few other required college-level courses elicit the same frustration or the intimidation factor as mathematics.
Some commonly talk about holding a hatred for math, believe they are no good at it or think up strategies to avoid it all together.
But one University of Arizona team is working to unravel the enigmatic nature of math for the very students who struggle the most with it – those who do not test into college-level math.
Math 100, now in the second semester of its pilot phase, has a heavy emphasis on both self-paced progress and peer-to-peer support while being offered through Elluminate, a web-conferencing system.
"Students are so used to being online. We thought that if we put the course online we could interact more," said Michelle Woodward, who coordinates the pilot course being offered by the UA mathematics department.
The number of section offerings will be expanded during the fall to accommodate more UA students who do not test into algebra-level mathematics.
Woodward said the course is being emphasized and expanded because it is especially important for new students to grasp college math, especially algebra – a curricular core – early.
Algebraic skills have long been associated with giving students the ability to think in more complex ways. A student's ability to comprehend algebra has long been upheld as an indication of college-readiness, particularly for study in science and engineering-related disciplines.
"It's the foundational material they need to be prepared for college algebra," Woodward said.
"My whole goal in this is to make an online environment that is as close to what students would do in person. I want the environment to be as interactive as possible," Woodward said, adding that another program, the ALEKS Learning Module, provides both structure and flexibility while also offering the course content.
"I have done a lot of work with students who needed individualized plans. ALEKS does that for me," she said. "I could not do that for 300 students, it doesn't replace me – it frees me up to work with students individually, the kind of work I didn't have time to do before."
Over the course of the semester, the 300 students currently enrolled in one dozen Math 100 sections meet three hours weekly, receiving self-paced instruction mediated by Elluminate. Students complete assignments, learning to master algebraic expressions and graphing techniques and, all the while, ALEKS tracks their progress.
"We are able to personalize the lessons much better than we have. It's been wonderful," said Cheryl Ekstrom, a mathematics lecturer who initiated the idea to incorporate Elluminate. "You aren't stuck listening to a lecture on things you already know or breezing by things you don't understand."
This is in direct contrast to more established and traditional ways of teaching math.
"In a traditional class, it doesn't matter if it's hard for you," said Shailendra Simkhada, an electrical engineering senior also studying math.
"Each day in a regular class, you might get a new chapter or deadline to meet but, here, they can work at their own pace," he said.
"It's not that they do less work, but if you don't understand something you get more information and one-on-one help so that they stay on track," he added.
If fact, students designate their goals at the start of the class, deciding what sections they want to master and what math class they hope to test into at the end of the term.
Students also engage in weekly virtual classroom meetings, sharing their computer screens and conversing online with student leads and support staff – UA students who are advanced in math and receive more than 15 hours of training.
Kirandeed Banga, a UA sophomore studying biology, is a member of the student lead and support staff.
Each week, Banga joins the other leads and support staff members in a classroom in the Math Building where they each log online to tutor and monitor student work.
"With it being completely online, it's hard to get their trust. But we try to talk to them as much as possible," said Banga who, like others on the team, also offer office hours.
"And we put them into virtual groups, so they are also able to help one another," she added. "They obviously are used to the technology, so they can adapt to it."
Also built into the design of the course is extensive support to the UA students facilitating the class.
Ivvette Rios, a UA math and French major, observes the virtual sessions and conducts weekly meetings with all of the students offering tutoring and support. Her role is to ensure that the leads and support staff have everything they need to appropriately help the hundreds of students enrolled.
Rios said the time for self-evaluation and self-reflection is critical for those involved, and helps to ensure that the structure is working well for all involved.
"We are always thinking of ways we can do this better; to make it more and more like our everyday experience," Rios said. "It's work out way better than we thought it would." New research from the University of Notre Dame suggests that even though adults tend to think in more advanced ways than children do, those advanced ways of thinking don't always override old, incorrect"Considering how many fools can calculate, it is surprising that it should be thought either a difficult or tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy. Some are enormously difficult. The fools who write the text-books of advanced mathematics-and they are mostly clever fools-seldom take the trouble to show you how easy the calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way." Calculus Made Easy, Silvanus P. Thompson, Prologue, 1910.
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When choosy moms choose Jif peanut butter and sports fans who call themselves sports fans subscribe |
The Mathematics Department works to build-up a student's confidence and self-esteem by enhancing their competency and understanding in mathematics. Specifically, the members of the Mathematics Department aim to develop their students as problem-solvers; to encourage and expect them to apply learned concepts in situations beyond the realm of the classroom; to think clearly and logically; and to master those concepts and skills necessary for further study and for life."
FREE MATH TUTORING The Math department, in conjunction with Math Honor Society, offers after-school
math tutoring for students in any math class, Algebra 1 and up. Schedule is posted in
the Media Center.
Help is offered most Mondays, Tuesdays and Thursdays, from 3:00 until 3:30. Help is
available some Wednesdays, from 2:30 until 3:00.
_________________________________________
Math Students Achieve Above Global Levels
The Advanced Placement Calculus AB course is offered to CCC students who have
successfully completed Honors PreCalculus by their junior year.This course awards
college calculus credit at most universities if students attain at least a 3 out of a possible 5
on this exam.Level 5 is considered by the College Board as students who are "extremely
well-qualified" , level 4 students are considered "well-qualified", level 3 students are
considered "qualified", level 2 students are considered "possibly qualified" and level 1
students are not given a recommendation.The chart below describes how CCC students
(CCC %) do compared to all students (Global %) at each level.On average, twenty-eight
students are in Clearwater Central Catholic's Calculus AB classand on average 172,000
students take this exam globally.
AP Calculus AB Grade Earned
1
2
3
4
5
CCC %
Global %
CCC %
Global %
CCC %
Global %
CCC %
Global %
CCC %
Global %
% of students in 2003-2004
0%
23.00%
9.10%
17.60%
18.20%
19%
45.50%
19.90%
27.30%
20.40%
% of students in 2004-2005
4.80%
25.40%
19%
16.80%
33.30%
17.80%
14.30%
19.50%
28.60%
20.70%
% of students in 2005-2006
0%
23.20%
0%
15.50%
16.70%
18.60%
42.30%
20.50%
42.30%
22.30%
% of students in 2006-2007
0%
25.90%
0%
15.50%
31.60%
19.10%
26.30%
18.80%
42.10%
20.70%
% of students in 2007-2008
8.30%
24.9%
4.20%
15.5%
8.30%
17.9%
29.20%
18.7%
50%
23%
% of students in 2008-2009
0%
25.1%
20.8%
15.5%
29.2%
18%
25%
18.7%
25%
22.7%
% of students in 2009-2010
22.2%
33.3%
16.7%
11.3%
27.8%
18.1%
27.8%
16.4%
5.6%
20.9%
% of students in 2010-2011
15.2%
33.4%
9.1%
10.7%
27.3%
18.5%
21.2%
16.4%
27.3%
21.0%
Global Data as reported on
Department Goals
After completing four years of mathematics at CCC, a student will:
Develop the power to abstract concepts in a given situation and transfer this knowledge to new situations.
Master those concepts and skills necessary for further study in mathematics and related fields.
Think clearly and logically in situations involving chance and uncertainty.
Realize the importance and practicality of mathematics in daily living and be able to use this science as a tool toward improving one's own life.
Relate learning experiences in mathematics to its function in the overall system of the sciences.
Develop an appreciation for the usefulness of technology in mathematics.
Course Sequence
Grade
Minimum
Regular
Advanced
AP
IB
9
Algebra1
Algebra 1
Algebra 1 Honors/
Geometry Honors
10
Geometry
Geometry
Algebra 2 Honors
11
Algebra 2
Algebra 2 or Algebra 2 Honors
Pre-Calculus Honors
IB Math SL or IB Math Studies SL
12
Math for College Readiness
Dual Enrollment College Algebra and Trigonometry
or Pre-Calculus Honors |
This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations. It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces the revolutionary notion of the "polynomial multiplier," which greatly simplifies the problem of variable elimination by reducing it to a system of linear equations. The major result presented in this work, now known as "Bézout's theorem," is stated as follows: "The degree of the final equation resulting from an arbitrary number of complete equations containing the same number of unknowns and with arbitrary degrees is equal to the product of the exponents of the degrees of these equations."
The book offers large numbers of results and insights about conditions for polynomials to share a common factor, or to share a common root. It also provides a state-of-the-art analysis of the theories of integration and differentiation of functions in the late eighteenth century, as well as one of the first uses of determinants to solve systems of linear equations. Polynomial multiplier methods have become, today, one of the most promising approaches to solving complex systems of polynomial equations or inequalities, and this translation offers a valuable historic perspective on this active research field |
Summary: In the Internet times, most learners will prefer online courses and practices to expand their mathematics knowledge, so math symbols and equations in online quizzes would be an essential part for educators. Undoubtedly, everyone needs mathematical knowledge to strive forward in the 21st century.
In the Internet times, most learners will prefer online courses and practices to expand their mathematics knowledge, so math symbols and equations in online quizzes would be an essential part for educators.
Undoubtedly, everyone needs mathematical knowledge to strive forward in the 21st century. As a central part of contemporary education and fundamental of other science subjects, certainly mathematics is abstract, and the mathematical courses are really difficult to learn. Most math or science instructor may believe that, better mathematical ability needs more parctices and assessments.
To prepare a mathematics test, a lot of practices are necessary for learners. Math instructors could design various questions for students to exercise before the formal test. In the era of Internet times, the way of online quizzes is supposed to be more acceptable by most learners. Certainly instructional designers can try a lot of online quiz makers, such as Discovery Education ( but for mathematics test, the adding of math symbols could be a really serious problem. Especially, most mathematical equations in algebra or geometry need special symbols to complete. How can a math or science instructor achieve this?
The difficulty associated with including symbols and equations in online quizzes for mathematics test or preparation practice might be the barrier of better online math teaching and learning. The primary problem is that standard Web browsers, such as Internet Explorer and Netscape, are incapable of displaying common math symbols.
To deal with this limitation simply, instructors resort to turning symbols and equations into image files (e.g., gif) which can then be displayed by browsers. In Windows, go to Start -> All Programs -> Accessories -> System Tools -> Character Map to insert special math symbols. Then, make use of free built-in Paint in Windows Accessories to convert the mathematics equations with special symbols to images. About Paint program, just refer to:
A second approach is to create symbols using a XML-based language called MathML (Mathematical Markup Language), which then requires a MathML "plug-in" to be installed to a browser to display the symbol. MathML is a low-level specification for describing mathematics as a basis for machine to machine communication by the W3C Math working group. It provides a much needed foundation for the inclusion of mathematical expressions in Web pages. Get more information about MathML at
The better approach so far is made possible through Flash-based QuizCreator with equation editor feature, which creates equations in Flash mathematics test, as Flash could be easily embedded in Web pages. Certainly it doesn't require the users to manually install a plug-in to the browser. In addition, it runs alongside the learning management system (such as Moodle, BlackBoard, WebCT) so that the mathematics test preparation practices with math symbols by instructors can be better accessed as course content and assessments. Try Wondershare QuizCreator with math symbols supported from:
It's worth trying more solutions of online quizzes for mathematics test to deploy appropriate tools. However, most instructors would favor the Flash way, as the original mathematics test with math symbols can be easily edited in equation editor |
Math Doesn't Suck: How to Survive Middle-School Math Without Losing Your Mind or Breaking a Nail
1 rating:
5.0
A book by Danica McKellar
"McKellar is probably the only person on prime-time television who moonlights as a cyberspace math tutor." —The New York Times "[When] girls tell [Danica] that they're studying math because of … see full wiki
This book isn't just for young girls
Having good math skills makes a person a better shopper and a better chef. Having good math skills simply makes an individual more confident in all areas of life. This is the message of this well written book. McKellar takes a step by step approach to math. I liked looking at the examples she provides, as I tried to solve the problems she includes in each chapter. Math Doesn't Suck is a good refresher for me, because I forgot a lot of things from my school days. I also learned new concepts like how to figure out rates and ratios. I enjoyed doing the fraction problems and algebra problems. They were challenging and fun for me to solve. I also enjoyed reading the testimonals from women who use math in their daily lives. There were interesting contributions from students and teachers and other professionals. I loved the contribution from Stephanie Peterson. She uses math on the job as a petroleum analyst, and she is also a professional actress. McKellar also shares personal experiences from her life. McKellar is an intelligent successful and humble young woman. Math Doesn't Suck is an educational and inspirational book. I loved it. |
Department Philosophy
The aim of the Mathematics Department is to teach the student to appreciate Mathematics as a logical, sequential system of thought, applicable to the many aspects of everyday life. Three years of Mathematics are required of every student at Fontbonne Academy. In the fourth year, a student may choose from the elective courses.
Courses are offered in an integrated sequence and at four levels: basic, standard, honors, and advanced placement. All courses meet a minimum of seven times each cycle. Incremental development builds on concepts and brings the student to a higher cognitive level. It also permits long-term practice of concepts.
The Department seeks to achieve the following instructional goals:
Maintain and extend computational skills
Use formulas with competence
Express an appreciation for the validity of the deductive reasoning process and use it in appropriate problem-solving situations |
Succeed in: Math!® ::Personalised Math Tutorial
Our unique program identifies exactly what math problems exist for each user and creates a personalized tutoring program to fix them.
Succeed in: Math!® software is effective for students in grades 7 – 12. It is also a useful tool for college students to get 'up to speed' for college level coursework. From basic arithmetic to Algebra 1 and Geometry, our program will get your student back on track. Thousands have used Succeed in: Math!® software to improve math skills. You can too!
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