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 ...
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 ...
"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
"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
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.
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.
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.
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
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.
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 ...
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
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
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.
Mathematical Methods of Engineering Analysis
Mathematical Methods of Engineering Analysis
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 ...
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).
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.
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.
Order of Operation
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
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