Calculus on the Web
COW is an internet utility for learning and practicing calculus. The principal purpose of COW is to provide you, the student or interested user, with the opportunity to learn and practice problems in calculus (and in the future other topics in mathematics) in a friendly environment via the internet. The most important feature of the COW is that you get to know whether your answer is correct almost immediately. It is as if you had a tutor looking over your shoulder and helping you along as you wo
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From Algorithms to Z-Scores: Probabilistic and Statistical Modeling in Computer Science
The materials here form a textbook for a course in mathematical probability and statistics for computer science students. Computer science examples are used throughout, in areas such as: computer networks; data and text mining; computer security; remote sensing; computer performance evaluation; software engineering; data management; etc.
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Elementary Linear Algebra & Solutions to Elementary Linear Algebra
This book is an introduction to linear algebra, based on lectures given by me over 17 years, in the (now defunct) first year course MP103 at the University of Queensland.
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Calculus (CA Textbook)
This Internet resource provides introductory information, concept or skill development in Mathematics for grade 9, 10, 11, and 12 students who are at grade level in a single student situation. This text was initially written by David Guichard. The single variable material (not including infinite series) was originally a modification and expansion of notes written by Neal Koblitz at the University of Washington, who generously gave permission to use, modify, and distribute his work. New material
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Whitman Calculus
This calculus book covers a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus. There is no chapter on differential equations.
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Introduction to Probability
This is an introductory probability book. This book emphasizes the use of computing to simulate experiments and make computations.
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Elements of Abstract and Linear Algebra
This is a foundational textbook on abstract algebra with emphasis on linear algebra.
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Introductory Statistics: Concepts, Models, and Applications
The book, Introductory Statistics: Concepts, Models, and Applications, presented in the following pages represents over twenty years of experience in teaching the material contained therein. The high price of textbooks and a desire to customize course material for my own needs caused me to write this material. This Web text and associated exercises is a continuing project. Check back often for updates.
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forall x: Introductory Textbook in Formal Logic
This book is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading.
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A First Course in Complex Analysis
These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated "from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the course.
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Mathematics Under the Microscope
This book inevitably asks the question "How does the mathematical brain work?" The author tries to reflect on the explosive development of mathematical cognition, an emerging branch of neurophysiology which purports to locate structures and processes in the human brain responsible for mathematical thinking. PDF file.
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Elementary Number Theory
Elementary Number Theory textbook, available in postscript, pdf, and latex formats.
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Elementary Abstract Algebra
This book is intended for a one semester introduction to abstract algebra. Available in postscript, pdf, and latex formats.
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MathHelp Notebook on Probability
This online tutorial serves as an introduction to probability by examining discrete and continuous probability, the mean or expected value of a variable given its probability, and how to calculate its standard deviation. It provides definitions, examples of discrete probability distributions, random variables, continuous distributions, and a quiz.
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MathHelp notebook on Equations and Functions
This online tutorial provides an overview of equations and functions. It includes information on manipulating equations, choosing variables, and using functions. A summary of equations and functions as well as a quiz are provided to ensure content comprehension and provide practice solving equations.
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Rainbow Milk
Developed for first grade. Students will actively mix three colors of food coloring with dish liquid detergent in a bowl of milk. They will hypothesize, and then observe the effects and record their findings. Students will also discuss the sense of sight, and the importance of milk and dairy to good health. Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on t
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Montessori Activities: Maths
Preliminary math activities to promote learning about numbers, size and colors. Indirect Preparation for numeracy which is an awareness of cardinal numbers, ordinal numbers, numerals, one to one correspondence, sequencing and tally counting. Also concepts of size, length, area and volume. These activities are suitable for beginning mathematicians as well as infants, toddlers and 3 - 6 year olds.
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Higher Secondary Mathematics
This course discusses the following concepts: bases and indices; fractional indices; zero and negative indices; exponential equations; definition and laws of logarithms; equations involving logarithms; introduction to surds; linear equations and simultaneous equations.
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Biodome
Developed for the second grade. A biodome is a self-sustaining habitat for plants. Students will make a biodome in a recycled soda bottle and watch as their seeds grow. Students will observe and understand how the water in the biodome continues to recycle itself through condensation and evaporation. Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on the teach
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Balloon Lungs
Developed for third and fourth grade. Students will understand how their lungs work. They will understand what lung capacity is and be able to measure their own. They will test for a relationship between their lung capacity and their height. Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on the teaching of biology at the elementary level. Unless otherwise no
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