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-1-1Advanced Problems in Mathematics: Preparing for University
https://www.merlot.org/merlot/viewMaterial.htm?id=1330065
<p>This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics.</p>
<p>Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. 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.</p>
<p>This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.</p>
<p>Please note that in this book the mathematical formulas are encoded in MathML. While reading the HTML version, you can right-click on any of the formulas to display the underlying code.</p>Tue, 12 Sep 2017 17:02:01 GMTEssential Engineering Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=583936
<p>This is a free textbook offered by BookBoon.</p>
<p>According to the author, "It is by no means a comprehensive guide to all the mathematics an engineer might encounter during the course of his or her degree. The aim is more to highlight and explain some areas commonly found difficult, such as calculus, and to ease the transition from school level to university level mathematics, where sometimes the subject matter is similar, but the emphasis is usually different. The early sections on functions and single variable calculus are in this spirit. The later sections on multivariate calculus, differential equations and complex functions are more typically found on a first or second year undergraduate course, depending upon the university. The necessary linear algebra for multivariate calculus is also outlined. More advanced topics which have been omitted, but which you will certainly come across, are partial differential equations, Fourier transforms and Laplace transforms."</p>Wed, 21 Sep 2011 20:50:34 GMTMichael Batty BookBoon.comMathematical Tools for Physics
https://www.merlot.org/merlot/viewMaterial.htm?id=447952
<p>This is a free, online textbook. According to the author, "This text is in PDF format, and is my attempt to provide a less expensive alternative to some of the printed books currently available for this course. If you find any mistakes or any parts that are unclear or any topics that you think I should not have omitted, please tell me. I intend this for the undergraduate level, providing a one-semester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This is the course typically called Mathematical Methods in Physics. The text itself has been expanded so that it now contains far more than a one semester course. The text is available as a single file to download and save, or as the separate chapters. The advantage of the single file is that the internal hyperlinks will take you anywhere in the book, while the internal links in the separate chapters are confined to that chapter. The single file contains a full index (also linked). In the body of the text, the equation references are linked, so that clicking on the reference will take you to that equation. To return to your original position, either click on the left arrow (Previous View) at the top (or sometimes bottom), or use a keyboard shortcut [ Command<-- on Mac, Alt<-- on Windows, Control<-- on Linux ]. The index is also linked, and there are a few links to web sites within the text. If you want to read this on the screen there are two formats. The first is for a smaller screen and is formatted so that the page is wider than it is tall. The format for a large monitor is designed with small margins, so that you can more easily use a two-page display. If you choose to print the book and have a printer that does two-sided copy, or if you upload it to a commercial printer, there is a version with identical content, but with margins shifted for such printing and binding. It is 444 pages. "</p>Wed, 28 Apr 2010 17:28:27 GMTJames Nearing University of MiamiAdvanced Problems in Mathematics: Preparing for University
https://www.merlot.org/merlot/viewMaterial.htm?id=1325159
<p>This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics.</p>
<p>Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. 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.</p>
<p>This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.</p>Thu, 24 Aug 2017 14:37:02 GMTStephen Siklos Cambridge UniversityAlgebra and Trigonometry
https://www.merlot.org/merlot/viewMaterial.htm?id=1083100
<p>Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for an introductory Algebra and Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets a variety of programs. Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Algebra and Trigonomstry by OpenStax is licensed under a Creative Commons License 4.0 International.</p>Thu, 26 Nov 2015 03:18:55 GMTJay Abramson, Arizona State University and other Contributing Authors OpenStax CollegeArithmetic for College Students
https://www.merlot.org/merlot/viewMaterial.htm?id=1322913
<p class="entry-title">This book is a review of arithmetic, including whole numbers, fractions, decimals, percents, ratios, rates, proportions, geometry, measurement, basic statistics, and signed numbers. More importantly, this book is intended to provide students with a solid foundation for the rest of their math courses.</p>Wed, 16 Aug 2017 02:39:45 GMTDavid LippmanCollege Algebra
https://www.merlot.org/merlot/viewMaterial.htm?id=1083097
<p>College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was designed to be used flexibly. The modular approach has the richness of content ensures that the book meets the needs of a variety of programs. College Algebra by OpenStax is licensed under a Creative Commons License 4.0 International.</p>Thu, 26 Nov 2015 02:53:02 GMTJay Abramson, Arizona State University and other Contributory Authors OpenStax CollegeElementary Mathematics for Engineers
https://www.merlot.org/merlot/viewMaterial.htm?id=1357814
<p>Elementary Mathematics for Engineers explains mathematical jargon and develops the formulae used by engineers from first principles. The first chapter is a summary so the reader can quickly see where further study is needed. The book is in two parts, pure and applied. Pure mathematics covers the following subjects;</p>
<ul>
<li>positive, negative, and fractional indices</li>
<li>logarithms</li>
<li>partial fractions</li>
<li>irrational and complex functions</li>
<li>trigonometrical and hyperbolic functions</li>
<li>properties of triangles and polygons</li>
<li>areas and volumes </li>
<li>rules for differentiation</li>
<li>methods for integration</li>
<li>differential equations</li>
<li>Fourier analysis </li>
<li>Applied mathematics covers the following subjects;</li>
<li>forces in equilibrium </li>
<li>equations of motion and Newton’s laws</li>
<li>potential and kinetic energy</li>
<li>conservation of energy</li>
<li>momentum and angular momentum</li>
<li>simple harmonic motion</li>
<li>hanging chains</li>
<li>gyroscopes</li>
</ul>Wed, 10 Jan 2018 02:05:04 GMTW. J. R. H. PoolerMathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=906127
<p>'" The Free High School Science Textbook (FHSST) project is our contribution towards furthering Science Education in South Africa.</p>
<p>As young South Africans who believe in building up our country, we want to use our skills as scientists to help our next generation by providing free science and mathematics textbooks for Grades 10-12 to all South African learners.</p>
<p>Science education is about more than Physics, Chemistry and Mathematics... It's about learning to think and to solve problems which are valuable skills that can be applied through all spheres of life. Teaching these skills to our next generation will help them when it is their turn to make a difference to our country."'</p>Tue, 04 Nov 2014 20:26:33 GMTThe Free High School Science Textbook The Maths PortalReasonable Decimal Arithmetic
https://www.merlot.org/merlot/viewMaterial.htm?id=906149
<p>'Reasonable Decimal Arithmetic (RDA) is to be a complete bundle for a realistic ARITHMETIC course as could reasonably be taught in a Developmental program, that is with a reasonable number of students succeeding in the course but also, and much more important, in following courses. <br />The bundle is being developed for a course meeting 80 minutes twice a week during a fifteen course semester. It will consist of 18 chapters each with daily homework and quiz, as well as three Reviews and three Exams. '</p>Tue, 04 Nov 2014 21:22:11 GMTTeaching Mathematics at Secondary Level
https://www.merlot.org/merlot/viewMaterial.htm?id=1330060
<div align="justify">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. </div>
<div align="justify"> </div>
<div align="justify">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.</div>Tue, 12 Sep 2017 16:57:14 GMTTony Gardiner University of BirminghamBasic Arithmetic Student Handbook
https://www.merlot.org/merlot/viewMaterial.htm?id=906082
<p>'This workbook is designed to lead students through a basic understanding of numbers <br />and arithmetic. The included curriculum is broken into twelve lessons (see Table of <br />Contents page for lesson titles). '</p>
<p>LESSON 1 – WHOLE NUMBERS<br />LESSON 2 – INTRODUCTION TO FRACTIONS<br />LESSON 3 – FRACTION ADDITION & SUBTRACTION<br />LESSON 4 - FRACTION MULTIPLICATION & DIVISION<br />LESSON 5 - DECIMALS<br />LESSON 5 - PRACTICE <br />LESSON 6 - PERCENTS <br />LESSON 7 – RATIOS, RATES, & PROPORTIONS<br />LESSON 8 - STATISTICS<br />LESSON 9 – UNITS & CONVERSIONS <br />LESSON 10 – GEOMETRY I: PERIMETER & AREA<br />LESSON 11 – GEOMETRY II: VOLUME & TRIANGLES<br />LESSON 12 – SIGNED NUMBERS </p>Tue, 04 Nov 2014 18:00:37 GMTDepartment of Mathematics Scottsdale Community CollegeHelping Engineers Learn Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=447298
<p>This is a free, online textbook that consists of individual workbooks on a wide variety of math topics. Each of the 48 chapters includes information that engineers need to know specifically. There is also a Student's Guide and a Tutor's Guide. Each are downloadable as pdf files.</p>Mon, 26 Apr 2010 20:35:29 GMTRoger Luther University of SussexAlgebra is Vital
https://www.merlot.org/merlot/viewMaterial.htm?id=726628
<p>This is a virtual edition of a developmental algebra textbook. It follows the Suffolk County Community College Mathematics syllabus for our developmental algebra courses, with a few additions.This book has a <a href="http://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_US">Creative Commons Attribution-<span class="SpellE">NonCommercial-ShareAlike</span> 3.0 <span class="SpellE">Unported</span> License</a> and may be used and shared for any non-profit educational purpose.</p>Wed, 23 Jan 2013 14:00:52 GMTLeslie BuckAdvanced Maths for Chemists - Chemistry Maths 3
https://www.merlot.org/merlot/viewMaterial.htm?id=795692
<p>This is a free textbook offered by BookBoon.</p><p>'<span>Advanced Maths for Chemists</span><span> teaches Maths from a “chemical” perspective and is the third of a three part series of texts designed for a first-year university course. It is the Maths required by a Chemist, Chemical Engineer, Chemical Physicist, Molecular Biologist, Biochemist or Biologist. Tutorial questions with </span><span>fully</span><span> worked solutions are used and structured on a weekly basis to help the students to self-pace themselves. Coloured molecular structures, graphs and diagrams bring the text alive. Navigation between questions and their solutions is by page numbers for use with your PDF reader.'</span></p>Mon, 30 Sep 2013 21:47:43 GMTJohn Parker Heriot-Watt UniversityBasic Math Textbook for the Community College
https://www.merlot.org/merlot/viewMaterial.htm?id=442393
<p>This is a free, open textbook that is part of the Connexions collection at Rice University. "This is a textbook for Basic Mathematics for community college students. The content in this book has been collected from three text books and modified, as specified by Robert Knight."</p>Thu, 01 Apr 2010 21:08:37 GMTDenny BrownBlast Into Math
https://www.merlot.org/merlot/viewMaterial.htm?id=782977
<p>This free online textbook '<span>is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style. Definitions, theorems, and proofs are accompanied by creative analogies and illustrations to convey the meaning and intuition behind the abstract math. The key to reading and understanding this book is doing the exercises. You don't need much background for the first few chapters, but the material builds upon itself, and if you don't do the exercises, eventually you'll have trouble understanding. The book begins by introducing fundamental concepts in logic and continues on to set theory and basic topics in number theory. The sixth chapter shows how we can change our mathematical perspective by writing numbers in bases other than the usual base 10. The last chapter introduces analysis. Readers will be both challenged and encouraged. A parallel is drawn between the process of working through the book and the process of mathematics research. If you read this book and do all the exercises, you will not only learn how to prove theorems, you'll also experience what mathematics research is like: exciting, challenging, and fun!'</span></p>Wed, 14 Aug 2013 00:08:42 GMTJulie Rowlett University of GoettingenBlast into math
https://www.merlot.org/merlot/viewMaterial.htm?id=737848
<p>This is a free online textbook offered by BookBoon.</p><p>'<span style="text-decoration: underline;">Blast into Math! A fun <span>and</span> rigorous introduction to pure mathematics</span><span>, is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style. Definitions, theorems, and proofs are accompanied by creative analogies and illustrations to convey the meaning and intuition behind the abstract math. The key to reading and understanding this book is doing the exercises. You don't need much background for the first few chapters, but the material builds upon itself, and if you don't do the exercises, eventually you'll have trouble understanding. The book begins by introducing fundamental concepts in logic and continues on to set theory and basic topics in number theory. The sixth chapter shows how we can change our mathematical perspective by writing numbers in bases other than the usual base 10. The last chapter introduces analysis. Readers will be both challenged and encouraged. A parallel is drawn between the process of working through the book and the process of mathematics research. If you read this book and do all the exercises, you will not only learn how to prove theorems, you'll also experience what mathematics research is like: exciting, challenging, and fun!'</span></p>Mon, 04 Mar 2013 19:24:38 GMTJulie Rowlet; Henry Segerman University of Goettingen; University of MelbourneBlast Into Math!
https://www.merlot.org/merlot/viewMaterial.htm?id=795412
<p>This is a free textbook from BookBoon.</p><p>'<span style="text-decoration: underline;">Blast into Math! A fun <span>and</span> rigorous introduction to pure mathematics</span><span>, is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style. Definitions, theorems, and proofs are accompanied by creative analogies and illustrations to convey the meaning and intuition behind the abstract math. The key to reading and understanding this book is doing the exercises. You don't need much background for the first few chapters, but the material builds upon itself, and if you don't do the exercises, eventually you'll have trouble understanding. The book begins by introducing fundamental concepts in logic and continues on to set theory and basic topics in number theory. The sixth chapter shows how we can change our mathematical perspective by writing numbers in bases other than the usual base 10. The last chapter introduces analysis. Readers will be both challenged and encouraged. A parallel is drawn between the process of working through the book and the process of mathematics research. If you read this book and do all the exercises, you will not only learn how to prove theorems, you'll also experience what mathematics research is like: exciting, challenging, and fun!'</span></p>Mon, 30 Sep 2013 18:08:06 GMTJulie Rowlett University of GoettingenCK-12 Middle School Math Grade 6, Volume 1 Of 2
https://www.merlot.org/merlot/viewMaterial.htm?id=830855
<p>This is a free textbook that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.</p><p>'<span>CK-12's Middle School Math Grade 6 covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book’s content in practical situations. Volume 1 includes the first 6 chapters.'</span></p>Thu, 30 Jan 2014 23:25:02 GMTCK-12 FoundationCK-12 Middle School Math Grade 6, Volume 1 Of 2
https://www.merlot.org/merlot/viewMaterial.htm?id=819537
<p>This is a free textbook that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.</p><p>'<span>CK-12's Middle School Math Grade 6 covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book’s content in practical situations. Volume 1 includes the first 6 chapters.'</span></p>Wed, 11 Dec 2013 23:04:13 GMTCK-12 FoundationEngineering Mathematics: YouTube Workbook
https://www.merlot.org/merlot/viewMaterial.htm?id=833096
<p>This is a free textbook from BookBoon.</p><p>'"Free ebooks + free videos = better education" is the equation that describes this book's commitment to free and open education across the globe. Download the book and discover free video lessons on the Author's <a href="http://www.youtube.com/DrChrisTisdell">YouTube channel</a>.</p><p>"Engineering Mathematics: YouTube Workbook” takes learning to a new level by combining free written lessons with free online video tutorials. Each section within the workbook is linked to a video lesson on YouTube where the author discusses and solves problems step-by-step.</p><p>The combination of written text with interactive video offers a high degree of learning flexibility by enabling the student to take control of the pace of their learning delivery. For example, key mathematical concepts can be reinforced or more deeply considered by rewinding or pausing the video. Due to these learning materials being freely available online, students can access them at a time and geographical location that suits their needs.'</p><p>The table of contents includes:</p><p>Partial derivatives & applicationsPartial derivatives & partial differential equationsPartial derivatives & chain ruleTaylor polynomial approximations: two variablesError estimationDifferentiate under integral signs: Leibniz ruleSome max/min problems for multivariable functionsHow to determine & classify critical pointsMore on determining & classifying critical pointsThe method of Lagrange multipliersAnother example on Lagrange multipliersMore on Lagrange multipliers: 2 constraintsA glimpse at vector calculusVector functions of one variableThe gradient field of a functionThe divergence of a vector fieldThe curl of a vector fieldIntroduction to line integralsMore on line integralsFundamental theorem of line integralsFlux in the plane + line integralsDouble integrals and applicationsHow to integrate over rectanglesDouble integrals over general regionsHow to reverse the order of integrationHow to determine area of 2D shapesDouble integrals in polar co-ordinatesMore on integration & polar co-ordinatesOrdinary differential equationsSeparable differential equationsLinear, first–order differential equationsHomogeneous, first–order ODEs2nd–order linear ordinary differential equationsNonhomogeneous differential equationsVariation of constants / parametersLaplace transforms and applicationsIntroduction to the Laplace transformLaplace transforms + the first shifting theoremLaplace transforms + the 2nd shifting theoremLaplace transforms + differential equationsFourier seriesIntroduction to Fourier seriesOdd + even functions + Fourier seriesMore on Fourier seriesApplications of Fourier series to ODEsPDEs & separation of variablesDeriving the heat equationHeat equation & separation of variablesHeat equation & Fourier series.'</p>Wed, 05 Feb 2014 17:23:48 GMTChris Tisdel UNSW, SydneyIntermediate Maths for Chemists Chemistry Maths 2
https://www.merlot.org/merlot/viewMaterial.htm?id=795699
<p>This is a free textbook offered by BookBoon.</p><p>'<span>Chemistry Maths 2 teaches Maths from a “chemical” perspective and is the second of a three part series of texts taken during a first-year university course. It is the Maths required by a Chemist, or Chemical Engineer, Chemical Physicist, Molecular Biologist, Biochemist or Biologist. Tutorial questions with fully worked solutions structured on a weekly basis to help the students to self-pace themselves are used. Coloured molecular structures, graphs and diagrams bring the text alive. Navigation between questions and their solutions is by page numbers used with your PDF reader.'</span></p>Mon, 30 Sep 2013 22:02:35 GMTJohn Parker Heriot-Watt UniversityMath in Society
https://www.merlot.org/merlot/viewMaterial.htm?id=434113
<p>This is a free, online textbook that "is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation."</p>Fri, 19 Feb 2010 23:29:39 GMTDavid Lippman Pierce College at Ft Steilacoom