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4434Algebra is Vital
http://www.merlot.org/merlot/viewMaterial.htm?id=726628
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 Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License and may be used and shared for any non-profit educational purpose.Advanced Maths for Chemists - Chemistry Maths 3
http://www.merlot.org/merlot/viewMaterial.htm?id=795692
This is a free textbook offered by BookBoon.'Advanced Maths for Chemists 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 fully 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.'Basic Arithmetic Student Handbook
http://www.merlot.org/merlot/viewMaterial.htm?id=906082
'This workbook is designed to lead students through a basic understanding of numbers and arithmetic. The included curriculum is broken into twelve lessons (see Table of Contents page for lesson titles). 'LESSON 1 – WHOLE NUMBERSLESSON 2 – INTRODUCTION TO FRACTIONSLESSON 3 – FRACTION ADDITION & SUBTRACTIONLESSON 4 - FRACTION MULTIPLICATION & DIVISIONLESSON 5 - DECIMALSLESSON 5 - PRACTICE LESSON 6 - PERCENTS LESSON 7 – RATIOS, RATES, & PROPORTIONSLESSON 8 - STATISTICSLESSON 9 – UNITS & CONVERSIONS LESSON 10 – GEOMETRY I: PERIMETER & AREALESSON 11 – GEOMETRY II: VOLUME & TRIANGLESLESSON 12 – SIGNED NUMBERS Basic Math Textbook for the Community College
http://www.merlot.org/merlot/viewMaterial.htm?id=442393
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.״Basic Mathematics
http://www.merlot.org/merlot/viewMaterial.htm?id=906086
'This module consists of three units which are as follows:Unit 1: (i) Sets and Functions (ii) Composite FunctionsThis unit starts with the concept of a set. It then intoroduces logic which gives the learner techniques for distinguishing between correct and incorrect arguments using propositions and their connectives. A grasp of sets of real numbers on which we define elementary functions is essential. The need to have pictorial representations of a function necessitates the study of its graph. Note that the concept of a function can also be viewed as an instruction to be carried out on a set of objects. This necessitates the study of arrangements of objects in a certain order, called permutations and combinations.Unit 2: Binary OperationsIn this unit we look at the concept of binary operations. This leads to the study of elementary properties of integers such as congruence. The introduction to algebraic structures is simply what we require to pave the way for unit 3.Unit 3: Groups, Subgroups and HomomorphismThis unit is devoted to the study of groups and rings. These are essentially sets of numbers or objects which satisfy some given axioms. The concepts of subgroup and subring are also important to study here. For the sake of looking at cases of fewer axiomatic demands we will also study the concepts of homomorphisms and isomorphisms. Here we will be reflecting on the concept of a mapping or a function from either one group to the other or from one ring to the other in order to find out what properties such a function has.'Blast into math
http://www.merlot.org/merlot/viewMaterial.htm?id=737848
This is a free online textbook offered by BookBoon.'Blast into Math! A fun and rigorous introduction to pure mathematics, 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!'Blast Into Math!
http://www.merlot.org/merlot/viewMaterial.htm?id=795412
This is a free textbook from BookBoon.'Blast into Math! A fun and rigorous introduction to pure mathematics, 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!'CK-12 Middle School Math Grade 6, Volume 1 Of 2
http://www.merlot.org/merlot/viewMaterial.htm?id=819537
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.'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.'CK-12 Middle School Math Grade 6, Volume 1 Of 2
http://www.merlot.org/merlot/viewMaterial.htm?id=830855
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.'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.'Engineering Mathematics: YouTube Workbook
http://www.merlot.org/merlot/viewMaterial.htm?id=833096
This is a free textbook from BookBoon.'״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 YouTube channel.״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.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.'The table of contents includes: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.'