trustle > EngliSea > Math Cheat Sheets & Vedios > 99 Terms

Calculus
Calculus answers two main questions about functions. (1) How steep is a function at a point? (2) What is the area under the graph over some region? The first question is answered using the derivative and to answer the second question we use the integral.
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Cross Product
Given two nonzero vectors in two or three dimensions, their cross product is a vector with magnitude equal to the product of the magnitudes of the vectors times the sine of the angle between the vectors and direction perpendicular to the vectors.
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Dot Product
Given two nonzero vectors in two or three dimensions, their dot product is the product of the magnitudes times cosine of the angle between the two vectors.
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Goldbach conjecture
Every even number is the sum of two primes. In the nearly 300 years since the conjecture was formulated, nobody has ever proved it.
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Greek Alphabet
Α α Β β Γ γ Δ δ Ε ε Ζ ζ Η η Θ θ Ι ι Κ κ Λ λ Μ μ Ν ν Ξ ξ Ο ο Π π Ρ ρ ϱ Σ σ/ς Τ τ Υ υ Φ φ Χ χ Ψ ψ Ω ω
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Iff
If and only if
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Integration
The Fundamental Theorem of Calculus: Redefining Integration
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Limit
The limit of f of x as x approaches a is L.
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Line
We can create a one-dimensional object called a line by stringing an infinite number of points along a particular dimension.
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Linear systems
A collection of 2 or more linear equations
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Logarithm
By definition, when we say "log base b of x equals y", that's the same thing as saying "b to the y equals x". So if you want to find log base b of x, you're asking "what power do you have to raise b to in oder to get x?"
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Logarithm
"The base of the log raised to the power of what's on the other side of the equal sign will equal the number that the log is operating on."
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Matrix
A rectangular array of numbers
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Partial derivative
(1) partial derivative of f with respect to x, f sub x, partial f over partial x. (2) f sub xx, partial squared f over partial x squared. (3) f sub xy, partial squared f over partial y partial x.
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Plane
By stringing an infinite number of lines along a dimension perpendicular to the line, a two-dimensional object called a plane can be obtained. And then if we string an infinite number of planes in either direction, we get three dimensional space.
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Point
A point is nothing more than a location in space. It is zero-dimensional, meaning that it has no dimensions of any kind. We represent points with dots and some capital letter.
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Prime number
A prime number is a natural number greater than 1 that is devided only by 1 and itself.
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Prime number theorem
The number of prime numbers less than a certain natural number is asymptotically equivalent to x/ln(x).
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Space
By stringing an infinite number of lines along a dimension perpendicular to the line, a two-dimensional object called a plane can be obtained. And then if we string an infinite number of planes in either direction, we get three dimensional space.
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Transformation
Symetry, transformation, translation, rotation, reflection, dilation, congruent
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Triangle classification
Triangles can be classified by their angles and sides: scalene, isoscelese, equilateral, acute, right, abtuse.
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Trigonometric Functions
Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
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Vector
A mathematical construct that has both magnitude and direction
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