Symmetry
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley table
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Mathematical language
In our everyday lives we use we use language to develop ideas and to communicate them to other people. In this unit we examine ways in which language is adapted to express mathematical ideas.
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Modelling pollution in the Great Lakes: a review
This is the fifth and final unit in the MSXR209 series on mathematical modelling. In this unit we revisit the model developed in the first unit of this series on pollution in the Great Lakes of North America. Here we evaluate and revise the original model
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Living on the Grid - Playing and Deconstructing Logic Games
In this lesson, students play and deconstruct the mathematical and strategic principles of logic puzzles, including tic-tac-toe and sudoku, as well as new games like kakuro, masyu, and nurikabe. They then prepare strategies for a user's guide to one game.
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Proving (a Theorem) and Disproving (a Theory). Applying the Pythagorean Theorem to Real Life
In this lesson, students share thoughts about careers and gender roles. They then work together to prepare a proof of the Pythagorean theorem and synthesize their learning by preparing a creative representation of Pythagoras' ideas.
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GeoMaths - 2nd Level Modules
The highest level of math on the University College London's GeoMath site, this covers skills such as complex numbers, partial differentiation, matrices, advanced vectors, and probability. Each section features a menu of topics and links to a glossary. Many have geology-based examples, using the mathematical ...
Author(s): Rowena Bowles

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GeoMaths MathHelp Material
This site provides students with mathematics self-study material which is embedded within the context of the geosciences. The material consists of many MathHelp "notebooks" covering specific mathematical topics related to a relevant geological context, such as plate velocity or cliff erosion. The notebooks ...
Author(s): Rowena Bowles

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Geometry Formulas and Facts
This excerpt from the CRC Standard Mathematical Tables and Formulas covers geometry, excluding differential geometry. It is a reference for advanced students, and covers the material in quick, condensed sections of notes. Notes and diagrams are organized into sections and subsections, starting with ...
Author(s): Silvio Levy

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"Applied Geometric Algebra, Spring 2009"
" Laszlo Tisza was Professor of Physics Emeritus at MIT, where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Algebra" taught by Professor Tisza in the Spring of 1976. Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. Th
Author(s): Tisza, L

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"Ancient Philosophy and Mathematics, Fall 2009"
" Western philosophy and theoretical mathematics were born together, and the cross-fertilization of ideas in the two disciplines was continuously acknowledged throughout antiquity. In this course, we read works of ancient Greek philosophy and mathematics, and investigate the way in which ideas of definition, reason, argument and proof, rationality and irrationality, number, quality and quantity, truth, and even the idea of an idea were shaped by the interplay of philosophic and mathematical inq
Author(s): Perlman, Lee

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Numbers at Work
This online publication contains middle school level problems that demonstrate how people actually use mathematical thinking in concrete settings. Several activities challenge students to deepen their understanding of numbers, especially fractions and decimals.
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Numerical Computing with MATLAB
Numerical Computing with MATLAB is a textbook for an introductory course in numerical methods, MATLAB, and technical computing. It emphasizes the informed use of mathematical software. Topics include matrix computation, interpolation and zero finding, differential equations, random numbers, and Fourier analysis.
Author(s): Cleve Moler

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Math Activity Themes: Bats
Bats are a common theme at Halloween. Use these resources to capitalize on student interest in bats and develop student understanding of common mathematical patterns.
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Three Number Sense Activities
Game 1: Contig Game: This game challenges and extends the number sense experience students have gained from writing equivalent mathematical expressions for target numbers. Game 2: The 24 Game builds on students' ability to find equivalent names for numbers. Game 3: In Tribulation, students must search the game-board for 3 numbers in a row (vertically, horizontally or diagonally as in a word search) that combine to make the target number. In this game, however, there is a prescribed formula for c
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Number Sense Activities: Climb the Ladder
Some students need prompts to help them write mathematical expressions for target numbers. Climb the Ladder is an activity that prompts students to move from all addition or subtraction problems and include many mathematical topics to generate equivalent names.
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Mid-level spreadsheeting and complex modeling of real-world scarp evolution
This lab activity is a familiarization exercise in spreadsheet modeling, and is also a mathematical model for slope evolution. It aims to familiarize students with moderately complex Excel manipulations, reinforce good technical graphical techniques, and introduce basic mathematical modeling of natural ...
Author(s): Bill Locke,Carleton College Science Education Reso

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The Floating Lithosphere - Isostacy
This activity lays the mathematical underpinning for studying isostasy in the earth. Students numerically and then analytically determine the relations governing the depth of compensation in a variety of situations including a block of ice floating in water. They recreate spreadsheets shown in a Powerpoint module with formulas that answer various pieces of the overall question. This module is the first in a set of three exploring isostasy, and was designed for an undergraduate class where studen
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USGS Techniques of Water-Resources Investigations: Frequency Curves
This 21-page pdf file is Book 4, Chapter A2 of a series of manuals on techniques and procedures for planning and executing specialized work in water-resources investigations. It describes procedures for preparing frequency curves from samples of hydrologic data. It also discusses the theory of frequency curves, compares advantages of graphical and mathematical fitting, suggests methods of describing graphically defined frequency curves analytically, and emphasizes the correct interpretations of
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Transportation
The objective is to get insight and practice in the design and use of mathematical models for the estimation of transport demand in the framework of major strategic transportation planning. The course consists of a number of lectures and several exercises in OmniTRANS.
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Mathematical Methods of Engineering Analysis
Mathematical Methods of Engineering Analysis
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