Avoid Silly Mistakes in Mathematics

Avoid Silly Mistakes in Mathematics
Author: Rajesh Sarswat
Publisher: Independently Published
Total Pages: 138
Release: 2017-03-16
Genre: Mathematics
ISBN: 9781520443973

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AVOID SILLY MISTAKES IN MATHEMATICS Learning math not only requires strong fundamentals but also a lot of practice, and making mistakes is part of that process. Making errors in math is a good thing, and can help the students to learn and explore math in a better way. However, repeating same mistakes again and again over an extended period will not benefit the students and will be harmful to their confidence. There are different types of silly errors that students make. Students should try to identify these mistakes with the help of techniques explained in this book and after that should make efforts to cut down and rectify these mistakes for getting good grades in schools. The Categories of silly mistakes are: 1. Careless or Casual Silly Mistakes 2. Calculation Errors 3. Conceptual Errors This book is an effort to guide students, teachers, and parents to take necessary measures to improve upon the habit of committing silly mistakes by students. The various techniques mentioned in this book if practiced or taught to students in the correct manner will help them reducing the quantum of stupid mistakes to a minimal and will further improve their confidence. The book also includes a collection of 100 most common silly mistakes committed by students in Arithmetic, Algebra, Trigonometry, Calculus and other branches of Mathematics across the globe in the age group of 10 to 18 years. After going through the book, students will also be able to learn about some of their misconceptions in Mathematics like: 1. 0 is even or odd? 2. Why 0/0 is not 1? 3. 0 is prime or composite? 4. Volume and Capacity of a container are not same, 5. Perimeter and Circumference of a 2-D figure are not same, 6. Pi is 22/7; still, it is irrational, 7. Why x to the power 0 is 1? 8. Why factorial 0 is 1? 9. What are the factors and multiples of 0? 10. All real numbers are polynomials. and much more ABOUT THE AUTHOR Rajesh Sarswat is presently working in a senior capacity in the Government of India. Despite the pressing bureaucratic compulsions he has to negotiate with on a daily basis, he pursues his keen interest in the field of Mathematics and has done a lot of research on various techniques and concepts on quick Mathematics. This book is the result of his extensive studies in this field for the last 20 years. He qualified in 13 All India Level Competitive Examinations, some of which are the toughest and the most gruesome, along with his research and writing work. His earlier book "Be a Human Calculator" became very popular among students due to the observation based calculation tricks explained in the book. The present book is his fourth book. Apart from writing on mathematical subjects, Rajesh also writes fiction and creative non-fiction. He is also having a passion for teaching mathematics and is a very popular teacher for his innovative and entertaining ways of presenting the subject. Rajesh lives in Ghaziabad, Uttar Pradesh, India with his wife and son.

The College Panda's SAT Math

The College Panda's SAT Math
Author: Nielson Phu
Publisher:
Total Pages: 324
Release: 2015-01-06
Genre:
ISBN: 9780989496421

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For more sample chapters and information, check out http: //thecollegepanda.com/the-advanced-guide-to-sat-math/ This book brings together everything you need to know to score high on the math section, from the simplest to the most obscure concepts. Unlike most other test prep books, this one is truly geared towards the student aiming for the perfect score. It leaves no stones unturned. Inside, You'll Find: Clear explanations of the tested math concepts, from the simplest to the most obscure Hundreds of examples to illustrate all the question types and the different ways they can show up Over 500 practice questions and explanations to help you master each topic The most common mistakes students make (so you don't) A chapter completely devoted to tricky question students tend to miss A question difficulty distribution chart that tells you which questions are easy, medium, and hard A list of relevant questions from The Official SAT Study Guide at the end of each chapter A cheat sheet of strategies for all the common question patterns A chart that tells you how many questions you need to answer for your target score

Common Mistakes In Maths

Common Mistakes In Maths
Author: Jan Bucio
Publisher:
Total Pages: 132
Release: 2021-03-04
Genre:
ISBN:

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Most of us have experienced the frustration of studying really hard for a math test, only to lose valuable points because of a silly mistake! Whether you plugged in the wrong number, misread the question, or simply made a bubbling mistake on your Scantron, minor errors can cost you big on a test. They can be the difference between an A or a B on a school exam, a 690 or a 750 on the SAT, or acceptance or rejection on an admission test. That's why it's important to stop silly mistakes in their tracks. This book is an effort to guide students, teachers, and parents to take necessary measures to improve upon the habit of committing silly mistakes by students. The various techniques mentioned in this book if practiced or taught to students in the correct manner will help them reducing the quantum of stupid mistakes to a minimal and will further improve their confidence. The book also includes a collection of 100 most common silly mistakes committed by students in Arithmetic, Algebra, Trigonometry, Calculus and other branches of Mathematics across the globe in the age group of 10 to 18 years. After going through the book, students will also be able to learn about some of their misconceptions in Mathematics like: 0 is even or odd? Why 0/0 is not 1? 0 is prime or composite? Volume and Capacity of a container are not same, Perimeter and Circumference of a 2-D figure are not same, Pi is 22/7; still, it is irrational, Why x to the power 0 is 1? Why factorial 0 is 1? What are the factors and multiples of 0? All real numbers are polynomials.

Mathematical Writing

Mathematical Writing
Author: Donald E. Knuth
Publisher: Cambridge University Press
Total Pages: 132
Release: 1989
Genre: Language Arts & Disciplines
ISBN: 9780883850633

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This book will help those wishing to teach a course in technical writing, or who wish to write themselves.

Teaching Mathematics at Secondary Level

Teaching Mathematics at Secondary Level
Author: Tony Gardiner
Publisher: Open Book Publishers
Total Pages: 248
Release: 2016-02-08
Genre: Mathematics
ISBN: 1783741406

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Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

Street-Fighting Mathematics

Street-Fighting Mathematics
Author: Sanjoy Mahajan
Publisher: MIT Press
Total Pages: 152
Release: 2010-03-05
Genre: Education
ISBN: 0262265591

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An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

How to Memorize Formulas in Mathematics

How to Memorize Formulas in Mathematics
Author: Rajesh Sarswat
Publisher: How to Memorize Formulas in Ma
Total Pages: 76
Release: 2017-10-05
Genre: Mathematics
ISBN: 9781549759093

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ABOUT THE BOOK Have you ever stayed up all the night trying to memorize formulas for your Mathematics examination but yet no changes? or Do you memorize a list of formulas today and forget almost everything about them the following day? or Does this seem to be the hardest aspect concerning learning Mathematics which is pulling you back instead of moving on? If the answer to any of the above questions is in affirmative, this book " How to Memorize Formulas in Mathematics is for you. This book is a part of two book series. Book-1: Calculus Book-2: Trigonometry You may be someone who hasn't practices the core math fundamentals taught in grade school due to lack of knowing the right formula to apply to a particular question, making it a bit complicated. Or maybe you're a college student who wants to memorize the basic and core formulas of Mathematics, or you're just a parent who wants to make sure that your kid becomes excellent at Mathematics and doesn't fall victim to the "Mathematics is a difficult syndrome." How do you figure out how to memorize your Mathematics formulas? Which formulas are hardest to understand? This book is a must for you because you will learn the Proven Strategies and Techniques needed to memorize the complete formula and its conditions that is vital to understand Mathematics ( Calculus and Trigonometry in particular). In reality, Math isn't hard at all, all that's required is learning a few necessary steps to solve any given problem with the required formula, and that's what you'll learn in this book. This book will not only reveal you the entire secret to success in memorizing some of the essential formulas that you need to excel at Trigonometry but will also make you aware about some of the general methods and techniques to learn formulas in any branch of Mathematics or Physics. One of the most terrible things about learning math is keeping all the formulas you need straight in your head. Don't worry! The tricks in this book will teach you: - Using memorizing techniques that will help you recall formulas of Trigonometry. - Understand the derivation of some of the formulas, which will help you to be able to rebuild the formula. - How to maintain a balance memorizing-mental state so that all of your studying stays in your head! You'll be amazed at how much better you'll be at Calculus and Trigonometry (Math in general) after reading this book with the tricks shown in the book. Stop letting math frustrate you, get your copy today and let this book show you the key to learning and memorizing Trigonometry formula to eliminate the frustration in learning Trigonometry. Good luck with understanding math formulas!

Advanced Problems in Mathematics

Advanced Problems in Mathematics
Author: Stephen Siklos
Publisher:
Total Pages: 188
Release: 2019-10-16
Genre: Mathematics
ISBN: 9781783747764

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This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Math for Programmers

Math for Programmers
Author: Paul Orland
Publisher: Manning Publications
Total Pages: 686
Release: 2021-01-12
Genre: Computers
ISBN: 1617295353

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In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads
Author: Evan Chen
Publisher: American Mathematical Soc.
Total Pages: 311
Release: 2021-08-23
Genre: Education
ISBN: 1470466201

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This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.