 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

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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Star Library: Random Rendezvous
This activity leads students to appreciate the usefulness of simulations for approximating probabilities. It also provides them with experience calculating probabilities based on geometric arguments and using the bivariate normal distribution. We have used it in courses in probability and mathematical ...
Author(s): Allan J. Rossman and Beth L. Chance

Lugosi teaches math - convergence of series
Béla Lugosi teaches advanced mathematical concepts in this video. This is part of the last lecture of his series. He begins this lecture by talking about the Weierstrauss M-Test and talking about how a series or sequence of sums converges.  In his lecture he provides the steps for this test, and proofs as well.  A great video for advanced math learners. (Calculus and Calculus II students).
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Lugosi teaches math - convergence of series 3
Béla Lugosi teaches advanced mathematical concepts in this video. How one uses power series to solve varying kinds of problems is discussed, and Lugosi explains how this one application shows the power of power series.  It also show that power series have a very important and powerful and analytical technique. A great series for any advanced mathematics student who is working in Calculus and Calculus II.
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Lugosi teaches math - Positive series1
Béla Lugosi teaches advanced mathematical concepts of monotonic non-decreasing sequences in this video. The series was an attempt to show undergraduate students that math is not scary. Lugosi's hidden love for mathematics is illuminated by his animated teaching style in this video.  Any lover of advanced mathematics will enjoy learning from and listening to Lugosi.
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# Order of Operations

: Sometimes it's hard to know what to do first with a mathematical equation. The order of operations, sometimes called PEMDAS, is how we know what to operation to do first so that we always get the right answer. When adding, subtracting, m
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Scale of Cells and Complex Biological Systems
Advanced video lecture that looks the unity of life from a mathematical perspective. In organisms from the tiniest to the largest, lifespans and growth rates, for example, increase with exponents which are typically simple powers of 1/4. Geoffrey West, president of the Sante Fe Institute, shows how these scaling laws can explain essential features of many diverse biological systems. Incredibly complex systems scale in a predictable manner. He then extends these ideas to discuss urban systems: to
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Welcome to the Universe - II: Beyond the Sky
Part II: Beyond the Sky Here we look at the origin of astronomy, and the figures involved in the rise and fall of mathematical geocentrism. Professional video. Run time 11:00.
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Moving in Circles
The original Platonic ideal, with derivatives of vector functions. According to Plato, stars are heavenly beings that orbit the Earth with uniform perfection -- uniform speed and perfect circles. Even in this imperfect world, uniform circular motion make perfect mathematical sense.
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Fractions - Rap Song by Mr. Duey
Mr Duey performs a live action rap song about fractions. The song teaches about improper fractions, and how to get a percentage from a fraction with visuals of the mathematical computations during the rap. Entertaining while learning for kids.
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This video teaches adding a 2-digit number to a 1-digit number with an introduction to carrying. The narrator of the video walks you through the mathematical computations with the Paint Program.
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Lugosi teaches math - polynomial approximations1
In this video, Béla Lugosi teaches the advanced mathematical concepts of a series of functions and polynomial approximations. This discusses and explains the idea of approximating a function by polynomials and questioning/observing the degree of contact.  This is an excellent video for advanced math students to explore and learn this complex concept.
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Lugosi teaches math - polynomial approximations2
In part 2 of Polynomial Approximations, Béla Lugosi continues teaching the advanced mathematical concept of Polynomial Approximations. In this part he discusses the role of the Ratio Test and Absolute Convergence.  He uses this part of the lesson to answer some questions to specifically show how to use polynomial approximations.
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Lugosi teaches math - polynomial approximations3
Béla Lugosi teaches continues teaching the advanced mathematical concept of polynomial approximations in this video. He uses an extended diagram to show the approximations in a slightly different way.  He goes on to show you Taylor's Theorem with Remainder as another method.  Lugosi's evident passion for mathematics makes this a fascinating video to watch for any lover of advanced mathematics.
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Lugosi teaches math - uniform convergance
In this video course, Béla Lugosi teaches advanced mathematical concepts. In this part he teaches the concept of uniform convergence in general, which is a difficult and subtle topic.  He gives the highlights of what makes up uniform convergence and convergence.  A great intro to the concept of convergence for advanced mathematics.
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