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Mathematics

mnemonic devices for geometry!

Subject: 
Geometry
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Pi
Complex analysis
Mathematics
Hexadecimal
Pe
Milü
Human Interest
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pi
Value Of Pi (π) Count the number of letters in each word: Pi (π) to 7 decimal places: (Word lengths are digits) May I have a large container of coffee? 3.1415926 Pi (π) to 10 decimal places: (Word lengths are digits) May I have a large container of coffee ready for today? 3.1415926535 Pi (π) to 12 decimal places: (Word lengths are digits) See, I have a rhyme assisting my feeble brain, its tasks oft-times resisting. 3.141592653589 Pi (π) to 30 decimal places: (Word lengths are digits) Now I, even I, would celebrate In rhymes unapt, the great Immortal Syracusan, rivaled nevermore, Who in his wondrous lore, Passed on before, Left men his guidance How to circles mensurate. and another one also to 30 decimal places (written by Michael Shapiro)

Derivative

Subject: 
Calculus
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Functions and mappings
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Differential calculus
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Instead of doing the limit process of finding a derivative, there is a much more effective method of finding a derivative. X^N -> the derivative would be -> N(X)^N-1 Say for example, you have f(x) = x^2, it would be 2(x)^(2-1), which would be 2x^1, or just 2x. if you have 3x^3, it would be 3(3)x^(3-1), which would be 9x^2

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how to work your ti 84

Subject: 
Algebra
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Programmable calculators
Technology
Graphing calculator
Calculator
TI-84 Plus series
Computing
Mathematics
The Basics Your graphing calculator can be your best friend once you learn how to use it. There's no time to waste, let's get started learning the basics! Turning Your Graphing Calculator On and Off: Step 1. Press the "on" button located on the lower left-hand side of the calculator. You should see a blinking cursor appear on the screen. Step 2. To turn the graphing calculator off, press the "2nd" button (located in the upper left hand side of your calculator) followed by the "on" button. Woohoo!! Great Job mashAllah!! I told you you could do it!!! Now let's get on to basic arithmetic problems. Adding and Subtracting Numbers: Step 1. Type in the first number you want to add using the number keys and then press the "+" button.

Inverse Hyperbolic Functions

Subject: 
Trigonometry
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Exponentials
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Abstract algebra
Inverse function
Hyperbolic function
Inverse element
Logarithm
Exponential function
Exponentiation

Since hyperbolic functions are defined in terms of exponential functions, it is expected that their inverses can be expressed in the inverse of their exponential functions: Inverse Hyperbolic Functions in terms of logarithms 

7inver1,7inver2,7inver3,7inver4,7inver5,7inver6,7inver7,7inver8,7inver9,7inver10,7inver11,7inver12



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Limits to infinity

Subject: 
Calculus
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Limits
If a limit is approaching infinity, the highest exponent on the numerator or denominator determines whether its zero, or infinity

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Algebra Formulas

Subject: 
Algebra
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Equations
Quadratic forms
Quadratic equation
Quadratic
Laws of Exponents (am)(an) = am+n (ab)m = ambm (am)n = amn a0 = 1 (am)/(an) = am-n a-m= 1/(am) Quadratic Formula In an equation like ax2 + bx + c = 0 You can solve for x using the Quadratic Formula: Binomial Theorem (a + b)1 = a + b (a + b)2 = a2 + 2ab + b2 (a + b)3 = a3 + 3a2b + 3ab2 + b3 (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 ...and so on... Difference of Squares a2 - b2 = (a - b)(a + b) Rules of Zero 0/x = 0 where x is not equal to 0. a0 = 1 0a = 0 a*0 = 0 a/0 is undefined (you can't do it)

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Trigonometric Functions

Subject: 
Trigonometry
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Geometry
Trigonometry
Elementary mathematics
Mathematics
Triangles
Triangle geometry
Trigonometric functions
World Wide Web
Triangle
Education
In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides of a triangle. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.

linear equations

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Algebra
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Linear Equations Y=mx+b where m is slope and b is the y intercept of the linear line
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Factoring Polynomials of Degree 3

Subject: 
Algebra
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Polynomial
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Factoring

Factoring Polynomials of Degree 3 Factoring a 3 - b 3 An expression of the form a 3 - b 3 is called a difference of cubes. The factored form of a 3 - b 3 is (a - b)(a 2 + ab + b 2) : (a - b)(a 2 + ab + b 2) = a 3 - a 2 b + a 2 b - ab 2 + ab 2 - b 3 = a 3 - b 3 For example, the factored form of 27x 3 - 8 ( a = 3x, b = 2 ) is (3x - 2)(9x 2 + 6x + 4) . Similarly, the factored form of 125x 3 -27y 3 ( a = 5x, b = 3y ) is (5x - 3y)(25x 2 +15xy + 9y 2) . To factor a difference of cubes, find a and b and plug them into (a - b)(a 2 + ab + b 2) . Factoring a 3 + b 3 An expression of the form a 3 + b 3 is called a sum of cubes. The factored form of a 3 + b 3 is (a + b)(a 2 - ab + b 2) : (a + b)(a 2 - ab + b 2) = a 3 + a 2 b - a 2 b - ab 2 + ab 2 + b 3 = a 3 - b 3 .

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