Advertisement
| evaluating expressions with integers worksheet: Prealgebra 2e Lynn Marecek, Maryanne Anthony-Smith, Andrea Honeycutt Mathis, 2020-03-11 The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi. |
| evaluating expressions with integers worksheet: Prealgebra Lynn Marecek, MaryAnne Anthony-Smith, 2015-09-25 Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Prealgebra follows a nontraditional approach in its presentation of content. The beginning, in particular, is presented as a sequence of small steps so that students gain confidence in their ability to succeed in the course. The order of topics was carefully planned to emphasize the logical progression throughout the course and to facilitate a thorough understanding of each concept. As new ideas are presented, they are explicitly related to previous topics.--BC Campus website. |
| evaluating expressions with integers worksheet: Building Thinking Classrooms in Mathematics, Grades K-12 Peter Liljedahl, 2020-09-28 A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling non-thinking student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before. |
| evaluating expressions with integers worksheet: College Algebra Jay Abramson, 2018-01-07 College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory |
| evaluating expressions with integers worksheet: Pre-Algebra, Grades 5-8 Mary Lee Vivian, Margaret Thomas, 2003 A top-selling teacher resource line, The 100+ Series(TM) features over 100 reproducible activities in each book! --This revised edition of Pre-Algebra links all the activities to the NCTM Standards. The activities were designed to provide students with practice in the skill areas necessary to master the concepts introduced in a course of pre-algebra. Reinforcing operations skills with both decimals and fractions plus activities involving ratios, integers, proportions, percents, rational numbers, simple equations, plotting coordinates, and graphing linear equations are all part of this new edition. Examples of solution methods are presented at the top of each page. New puzzles and riddles have been added to gauge the success of skills learned. It also contains a complete answer key. |
| evaluating expressions with integers worksheet: Fantasy Soccer and Mathematics Dan Flockhart, 2007-03-23 The innovative math program based on real-life sports statistics--Cover. |
| evaluating expressions with integers worksheet: ENC Focus , 2000 |
| evaluating expressions with integers worksheet: Abstract Algebra with Applications Audrey Terras, 2019 This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world. |
| evaluating expressions with integers worksheet: Puzzling Algebra Steve Hiner, 2014-09-06 This book was written to provide math teachers with supplemental resources they can use in their classrooms. This book can also be used by students to improve their skills. Tutorials are included with many of the activities so you can learn at your own pace. Topics can be used for Alg 1 and 2, as well as Integrated Math I, II, and III. Topics include: order of operations, solving many types of equations, exponents, mult/divide scientific notation, percentages, distance formula, Pythagorean Theorem, area of triangles from determinants, basic circles, square roots, mean, median, mode, geometric mean, box and whisker plots, matrices (cryptography and inverses), plotting points, graphing circles, lines, and parabolas, long and synthetic division of polynomials, FOIL, Quadratic Formula, logarithms, factoring, and the Binary number system. |
| evaluating expressions with integers worksheet: Intermediate Algebra 2e Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, 2020-05-06 |
| evaluating expressions with integers worksheet: Mathematics and Science for Students with Special Needs Eisenhower National Clearinghouse for Mathematics and Science Education, 2003 |
| evaluating expressions with integers worksheet: Working with Algebra Tiles Don Balka, Laurie Boswell, 2006-01-01 A complete resource for using algebra tiles to help students visualize algebra, build and solve equations, and gain comfort and skill with algebraic expressions. Teacher's notes and reproducible activities cover integer operations, linear expressions, quadratic expressions, perimeter, arrays, binomials and more. Each topic progresses through objective prerequisites, getting started and closing the activity. -- (p.4) of cover. |
| evaluating expressions with integers worksheet: Fantasy Basketball and Mathematics Dan Flockhart, 2007-03-19 Flockhart's books make math fun again. Teachers, students, and parents will love this program. --Jeffrey R. Thomas, founder and CEO, SportsBuff.com;president, Fantasy Sports Trade Association This workbook is designed to be used in conjunction with Fantasy Basketball and Mathematics: A Resource Guide for Teachers and Parents. The games and activities in Fantasy Basketball and Mathematics were created to get you excited about learning and practicing math, even if you are not a big sports fan. Here's how it works. You will create a Fantasy Basketball team by picking real-life players, following your players' statistics, and calculating your teams' total points using one of the equations your teacher provides. In addition to the basic Fantasy Basketball game, your workbook contains worksheets for extra practice on 46 different math concepts. So join the winning math team with Fantasy Basketball and Mathematics! Also available in the Fantasy Sports and Mathematics series: Fantasy Basketball and Mathematics | Fantasy Football and Mathematics | Fantasy Soccer and Mathematics |
| evaluating expressions with integers worksheet: Fantasy Football and Mathematics Dan Flockhart, 2007-03-23 Student create fantasy sports teams by picking real-life professional football players, and then follow their players' statistics and calculate their teams' total points using algebraic or nonalgebraic methods specifically designed to complement the math skills they are learning. |
| evaluating expressions with integers worksheet: Algebra Teacher's Activities Kit Judith A. Muschla, Gary R. Muschla, Erin Muschla-Berry, 2015-12-21 Help your students succeed with classroom-ready, standards-based activities The Algebra Teacher's Activities Kit: 150 Activities That Support Algebra in the Common Core Math Standards helps you bring the standards into your algebra classroom with a range of engaging activities that reinforce fundamental algebra skills. This newly updated second edition is formatted for easy implementation, with teaching notes and answers followed by reproducibles for activities covering the algebra standards for grades 6 through 12. Coverage includes whole numbers, variables, equations, inequalities, graphing, polynomials, factoring, logarithmic functions, statistics, and more, and gives you the material you need to reach students of various abilities and learning styles. Many of these activities are self-correcting, adding interest for students and saving you time. This book provides dozens of activities that Directly address each Common Core algebra standard Engage students and get them excited about math Are tailored to a diverse range of levels and abilities Reinforce fundamental skills and demonstrate everyday relevance Algebra lays the groundwork for every math class that comes after it, so it's crucial that students master the material and gain confidence in their abilities. The Algebra Teacher's Activities Kit helps you face the challenge, well-armed with effective activities that help students become successful in algebra class and beyond. |
| evaluating expressions with integers worksheet: Fantasy Baseball and Mathematics Dan Flockhart, 2007-03-23 Flockhart's books make math fun again. Teachers, students, and parents will love this program. —Jeffrey R. Thomas, founder and CEO, SportsBuff.com;president, Fantasy Sports Trade Association This workbook is designed to be used in conjunction with Fantasy Baseball and Mathematics: A Resource Guide for Teachers and Parents. The games and activities in Fantasy Baseball and Mathematics were created to get you excited about learning and practicing math, even if you are not a big sports fan. Here's how it works. You will create a Fantasy Baseball team by picking real-life players, and then follow your players' statistics and calculate your teams' total points using one of the equations your teacher provides. In addition to the basic Fantasy Baseball game, your workbook contains reproducible worksheets for extra practice on 46 different math concepts. So join the winning math team with Fantasy Baseball and Mathematics! Also available in the Fantasy Sports and Mathematics series: Fantasy Basketball and Mathematics Fantasy Football and Mathematics Fantasy Soccer and Mathematics |
| evaluating expressions with integers worksheet: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
| evaluating expressions with integers worksheet: Beast Academy Practice 5D Jason Batterson, Shannon Rogers, Kyle Guillet, Chris Page, 2017-03-29 Beast Academy Practice 5D and its companion Guide 5D (sold separately) are the fourth part in the four-part series for 5th grade mathematics. Level 5D includes chapters on percents, square roots, and exponents. |
| evaluating expressions with integers worksheet: Beginning and Intermediate Algebra Tyler Wallace, 2018-02-13 Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! Tyler Wallace continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra. The text reflects the compassion and insight of its experienced author with features developed to address the specific needs of developmental level students. Throughout the text, the author communicates to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. The exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor. |
| evaluating expressions with integers worksheet: Beast Academy Guide 2A Jason Batterson, 2017-09 Beast Academy Guide 2A and its companion Practice 2A (sold separately) are the first part in the planned four-part series for 2nd grade mathematics. Book 2A includes chapters on place value, comparing, and addition. |
| evaluating expressions with integers worksheet: The Complete Idiot's Guide to Algebra W. Michael Kelley, 2004 The complete hands-on, how-to guide to engineering an outstanding customer experience! Beyond Disney and Harley-Davidson - Practical, start-to-finish techniques to be used right now, whatever is sold. Leverages the latest neuroscience to help readers assess, audit, design, implement and steward any customer experience. By Lou Carbone, CEO of Experience Engineering, Inc., the world's #1 customer experience consultancy. |
| evaluating expressions with integers worksheet: Math Advantage Grace M. Burton, Harcourt Brace, 1998-05-22 |
| evaluating expressions with integers worksheet: Punchline: Bridge to Algebra Steve Marcy, 2000-09-01 |
| evaluating expressions with integers worksheet: CLEP. , 2012 REA's CLEP test preps are perfect for adults returning to college or attending for the first time, military service members, high-school graduates looking to earn college credit, or home-schooled students with knowledge that can translate into college credit. /Our review covers all the College Algebra topics found on the official exam: sets, number systems and operations, exponents and radicals, equations, inequalities, ratio and proportion, and more. /Students start their study by taking our half-length diagnostic practice test online. This timed test includes automatic scoring and diagnostic feedback, so students can pinpoint their strengths and weaknesses. The book includes 2 full-length practice tests that mirror the actual exam, allowing test-takers to become familiar with the test format before taking the CLEP. Each practice test comes with detailed explanations of answers, so students can identify areas in need of improvement and be prepared on test day. |
| evaluating expressions with integers worksheet: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
| evaluating expressions with integers worksheet: Merrill Algebra 1 Applications and Connections Reteaching Masters Earl Ostroff, 1995 |
| evaluating expressions with integers worksheet: Algebra and Trigonometry Jay P. Abramson, Valeree Falduto, Rachael Gross (Mathematics teacher), David Lippman, Rick Norwood, Melonie Rasmussen, Nicholas Belloit, Jean-Marie Magnier, Harold Whipple, Christina Fernandez, 2015-02-13 The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs.--Page 1. |
| evaluating expressions with integers worksheet: Math 2011 Student Edition (Consumable) Grade K Plus Digital 1-Year License Randall Inners Charles, Scott Foresman, 2009 Envision a math program that engages your students as it strengthens their understanding of math. enVisionMATH uses problem based interactive learning and visual learning to deepen conceptual understanding. It incorporates bar diagram visual tools to help students be better problem solvers, and it provides data-driven differentiated instruction to ensure success for every student. The best part, however, is that this success is proven by independent, scientific research. Envision more, enVisionMATH! |
| evaluating expressions with integers worksheet: Math Makes Sense , 2008 |
| evaluating expressions with integers worksheet: Computing with Maple Francis Wright, 2001-09-27 Powerful, flexible, easy to use-small wonder that the use of MAPLE® continues to increase, particularly since the latest releases of MAPLE. The built-in nature of its numerical and graphical facilities gives MAPLE a distinct advantage over traditional programming languages, yet to date, no textbook has used that advantage to introduce programming concepts. Moreover, few books based on MAPLE's latest versions even exist. Computing with MAPLE presents general programming principles using MAPLE as a concrete example of a programming language. The author first addresses the basic MAPLE functions accessible for interactive use then moves to actual programming, discussing all of the programming facilities that MAPLE provides, including control structures, data types, graphics, spreadsheets, text processing, and object oriented programming. Reflecting MAPLE's primary function as a computational tool, the book's emphasis is on mathematical examples, and it includes a full chapter devoted to algebraic programming. Classroom tested since 1995, the material in Computing with MAPLE is particularly appropriate for an intermediate-level introductory course in programming for both mathematics and computing students. It includes numerous exercises and test questions, with MAPLE worksheets, contact information, and supplementary material available on the Internet. |
| evaluating expressions with integers worksheet: Pre Algebra Randall I. Charles, 편집부, 2003-01-10 Appropriate for a wide range of student abilities. Works for both the middle school and high school students preparing for success in algebra. |
| evaluating expressions with integers worksheet: Algebra 2 , 2001-09-14 |
| evaluating expressions with integers worksheet: Clause and Effect William F. Clocksin, 2012-12-06 This book is for people who have done some programming, either in Prolog or in a language other than Prolog, and who can find their way around a reference manual. The emphasis of this book is on a simplified and disciplined methodology for discerning the mathematical structures related to a problem, and then turning these structures into Prolog programs. This book is therefore not concerned about the particular features of the language nor about Prolog programming skills or techniques in general. A relatively pure subset of Prolog is used, which includes the 'cut', but no input/output, no assert/retract, no syntactic extensions such as if then-else and grammar rules, and hardly any built-in predicates apart from arithmetic operations. I trust that practitioners of Prolog program ming who have a particular interest in the finer details of syntactic style and language features will understand my purposes in not discussing these matters. The presentation, which I believe is novel for a Prolog programming text, is in terms of an outline of basic concepts interleaved with worksheets. The idea is that worksheets are rather like musical exercises. Carefully graduated in scope, each worksheet introduces only a limited number of new ideas, and gives some guidance for practising them. The principles introduced in the worksheets are then applied to extended examples in the form of case studies. |
| evaluating expressions with integers worksheet: Common Core Math Workbook Ace Academic Publishing, 2023-08 7th Grade Common Core Math: Practice Workbook Practice Questions, Answers & Explanations Recommended by Teachers Ace Academic Publishing Based on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions. High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level. Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques. Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice. Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic. Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams. Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence. |
| evaluating expressions with integers worksheet: Essential Mathematics Gold for the Australian Curriculum Year 7 David Greenwood, Bryn Humberstone, Justin Robinson, Jenny Goodman, Jenny Vaughan, Franca Frank, 2012-08-03 Essential Mathematics Gold for the Australian Curriculum Year 7 contains the following features: • The three interconnected content strands are incorporated into 10-11 units of work that can be completed in the school year. • Carefully chosen and assessed language, design and sentence structures engage students who struggle with maths and potentially with reading. • Examples show explanations alongside solutions, and are closely linked to carefully graded exercises, giving students the opportunity for immediate success and to work independently. • Maths Words and Hint balloons reinforce the meaning of key terms and help students apply key concepts as they work through the exercises. • Every question is grouped according to the proficiency strands of the Australian Curriculum • Important terms are defined within the text for immediate understanding and included in the glossary for reference and revision. • Games and puzzles in every chapter • Chapter reviews include summary mind maps of key concepts and lots of revision questions to test understanding. |
| evaluating expressions with integers worksheet: Math Course 2 , 2007 |
| evaluating expressions with integers worksheet: Springboard Mathematics College Entrance Examination Board, 2014 SpringBoard Mathematics is a highly engaging, student-centered instructional program. This revised edition of SpringBoard is based on the standards defined by the College and Career Readiness Standards for Mathematics for each course. The program may be used as a core curriculum that will provide the instructional content that students need to be prepared for future mathematical courses. |
| evaluating expressions with integers worksheet: MathLinks 9 Bruce McAskill, 2009 |
| evaluating expressions with integers worksheet: Mathcad Mathsoft, Inc, 1986 |
| evaluating expressions with integers worksheet: Math Makes Sense Ray Appel, 2008 |
calculus - Evaluating $\int \frac {1} { {x^4+1}} dx$ - Mathematics ...
I am trying to evaluate the integral $$\int \frac{1}{1+x^4} \mathrm dx.$$ The integrand $\frac{1}{1+x^4}$ is a rational function (quotient of two polynomials), so I could solve the …
Is there a way to get trig functions without a calculator?
In school, we just started learning about trigonometry, and I was wondering: is there a way to find the sine, cosine, tangent, cosecant, secant, and cotangent of a single angle without using a …
calculus - Evaluating integrals with sigma notation - Mathematics …
Evaluating integrals with sigma notation. Ask Question Asked 13 years, 1 month ago. Modified 8 years, 1 ...
Polar Coordinates as a Definitive Technique for Evaluating Limits
Mar 24, 2017 · A lot of questions say "use polar coordinates" to calculate limits when they approach $0$. But is using polar coordinates the best way to evaluate limits, moreover, prove …
Evaluating $\\lim\\limits_{n\\to\\infty} e^{-n} …
I'm supposed to calculate: $$\\lim_{n\\to\\infty} e^{-n} \\sum_{k=0}^{n} \\frac{n^k}{k!}$$ By using WolframAlpha, I might guess that the limit is $\\frac{1}{2 ...
Evaluating $ \\lim\\limits_{n\\to\\infty} \\sum_{k=1}^{n^2} …
Here's another approach. First, note that $$\begin{eqnarray*} \sum_{k=n^2+1}^\infty \frac{n}{n^2+k^2} &<& \sum_{k=n^2+1}^\infty \frac{n}{k^2} \\ &\le& n\int_{n^2 ...
Easy way to compute logarithms without a calculator?
Feb 14, 2016 · I would need to be able to compute logarithms without using a calculator, just on paper. The result should be a fraction so it is the most accurate. For example I have seen this …
integration - Evaluating $\int_C\frac {z+1} {z^2-2z}dz$, where $C
Apr 24, 2017 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
linear algebra - Show that $\det(A) = 0$ without directly …
Oct 20, 2017 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
How to prove that limit of arctan(x) as x tends to infinity, is $\\pi/2$?
While working on some probability question, I had to evaluate $\lim_{x \to \infty} \arctan(x)$. I knew the answer intuitively as $\pi/2$, yet I cannot figure out how to prove it by elementary …
calculus - Evaluating $\int \frac {1} { {x^4+1}} dx$ - Mathematics ...
I am trying to evaluate the integral $$\int \frac{1}{1+x^4} \mathrm dx.$$ The integrand $\frac{1}{1+x^4}$ is a rational function (quotient of two polynomials), so I could solve the …
Is there a way to get trig functions without a calculator?
In school, we just started learning about trigonometry, and I was wondering: is there a way to find the sine, cosine, tangent, cosecant, secant, and cotangent of a single angle without using a …
calculus - Evaluating integrals with sigma notation - Mathematics …
Evaluating integrals with sigma notation. Ask Question Asked 13 years, 1 month ago. Modified 8 years, 1 ...
Polar Coordinates as a Definitive Technique for Evaluating Limits
Mar 24, 2017 · A lot of questions say "use polar coordinates" to calculate limits when they approach $0$. But is using polar coordinates the best way to evaluate limits, moreover, prove …
Evaluating $\\lim\\limits_{n\\to\\infty} e^{-n} …
I'm supposed to calculate: $$\\lim_{n\\to\\infty} e^{-n} \\sum_{k=0}^{n} \\frac{n^k}{k!}$$ By using WolframAlpha, I might guess that the limit is $\\frac{1}{2 ...
Evaluating $ \\lim\\limits_{n\\to\\infty} \\sum_{k=1}^{n^2} …
Here's another approach. First, note that $$\begin{eqnarray*} \sum_{k=n^2+1}^\infty \frac{n}{n^2+k^2} &<& \sum_{k=n^2+1}^\infty \frac{n}{k^2} \\ &\le& n\int_{n^2 ...
Easy way to compute logarithms without a calculator?
Feb 14, 2016 · I would need to be able to compute logarithms without using a calculator, just on paper. The result should be a fraction so it is the most accurate. For example I have seen this …
integration - Evaluating $\int_C\frac {z+1} {z^2-2z}dz$, where $C
Apr 24, 2017 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
linear algebra - Show that $\det(A) = 0$ without directly …
Oct 20, 2017 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
How to prove that limit of arctan(x) as x tends to infinity, is $\\pi/2$?
While working on some probability question, I had to evaluate $\lim_{x \to \infty} \arctan(x)$. I knew the answer intuitively as $\pi/2$, yet I cannot figure out how to prove it by elementary …
