Perfectly LogicalThe pope asked Giotto di Bondone to display his skills… He drew a perfect circle Below is Euclid’s definitions, postulates, and common notions from his book, The Elements. These are the things that are assumed to be true and never false in geometry. They may have older wording but take your time and absorb their […]
“When did they start putting letters in it?” Below are the some definitions in Modern Algebra that we will use to prove the statement: “Let ☆ be defined on 2ℤ={2n|n∈ℤ} by a ☆ b = a + b. Prove that ⟨ℤ,☆⟩ is a group.” These definitions are assumed to be true and never false. Take your time […]
Mathematics Today Mathematics is a human invention–our only perfect invention. It is something that exists only in our minds where only the shadows and projections of it are seen in our world… There are several subjects in mathematics. These subjects can be categorized into two types: applied and pure. Applied math is stressed heavily, almost […]
Prime Factor-er Factor Prime or not? Is this number prime? Note: Larger numbers will take longer to process. Prime Finder Find primes between and FindClear Show Primes Find primes over FindStopClear Probability that a success will happen by the nth trial (Geometric Distribution) Assumptions to use this calculator: Trials are independent. There are only two […]
Texas Instruments made an excellent, calculating tool when they madetheir line up of calculators. Most math classes in the college level and in thehigh school level use these calculators. However, they are seen less ingraduate school unless you are also a statistics person. None the less,these are great portable tools for any math student or […]
A TI-83 can do many complicated calculations that you would have a more difficult time doing by hand or that you would have to find the correct book for to look up a value in a table. If you are interested in expanding these functions, making programs to suite your specific needs, or in making […]
In my experience with graduate level mathematics, it can be hard to juggle everything that is required of you. More than likely, you will have recitations to maintain, tests to proctor, your own homework and tests, and more and that is not including your own personal matters! So, here are some tips that I hope […]
Here are some tips from me to you that I hope will help you prove statements or be a refresher on techniques that you have at your disposal. This is by no means an all-encompassing guide on proving. This is just my experience bottled up and sent via HTML ;-). Dissecting a Statement Math builds […]
Some useful formulas to help when doing calculus
Formulas used in Pre-calculus from Algebra, Geometry, Trigonometry, and more.