Visualizing Basic Algebra Last weekend, I shared some interesting properties of numbers with my kids. The great thing about explaining something to a non-expert is that you have to actually understand the topic. (This is why making teaching universities and research universities the same actually makes sense.) If you hide behind a formalism, the explanation won’t work. Usually, this means that you didn’t understand why the formalism worked either. This is why I thought “why are far away things smaller?” s Introduction to Complex Systems by David Kirshbaum I. Introduction: Complex Systems Theory : Basic Definition II. Four Important Characteristics of Complexity: III.
Dave's short course in trigonometry Table of Contents Who should take this course? Trigonometry for you Your background How to learn trigonometry Applications of trigonometry Astronomy and geography Engineering and physics Mathematics and its applications What is trigonometry? A Gentle Introduction To Learning Calculus I have a love/hate relationship with calculus: it demonstrates the beauty of math and the agony of math education. Calculus relates topics in an elegant, brain-bending manner. My closest analogy is Darwin’s Theory of Evolution: once understood, you start seeing Nature in terms of survival.
Pascal's Triangle Patterns Within the Triangle Using Pascal's Triangle Heads and Tails Pascal's Triangle can show you how many ways heads and tails can combine. This can then show you the probability of any combination. Algebra Help Math Sheet Arithmetic Operations The basic arithmetic operations are addition, subtraction, multiplication, and division. These operators follow an order of operation. Addition Addition is the operation of combining two numbers. If more than two numbers are added this can be called summing. Elementary Calculus: Example 3: Inscribing a Cylinder Into a Sphere Find the shape of the cylinder of maximum volume which can be inscribed in a given sphere. The shape of a right circular cylinder can be described by the ratio of the radius of its base to its height. This ratio for the inscribed cylinder of maximum volume should be a number which does not depend on the radius of thesphere. For example, we should get the same shape whether the radius of the sphere is given in inches or centimeters.
Geometry Help Looking for some Geometry Help? Our materials here review the basic terms and concepts in geometry and provide further lessons to help you develop your understanding of geometry and its applications to solving problems in real life. Geometry is about the shape and size of things. It is the study of points, lines, angles, shapes, their relationships, and their properties.
Learning Calculus: Overcoming Our Artificial Need for Precision Accepting that numbers can do strange, new things is one of the toughest parts of math: There’s numbers between the numbers we count with? (Yes — decimals)There’s a number for nothing at all? (Sure — zero)The number line is two dimensional? GEM1518K - Mathematics in Art & Architecture - Project Submission “For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art.” - M.C. Escher Contents