Math Glossary Pdf
Most often a sequence of terms to be summed. Projectile Motion Projectile Motion is a parabolic arc caused by gravity.
Series Most often a sequence of terms to be summed. First Order Differential Equation This type of equation includes first derivatives and employs algebra to treat those derivative functions as variables. Mathematical series experience convergence when the sum of their expanded terms reaches a boundary or limit. Three Dimensions The Dimensions of space or volume are Three Dimensions, typically labeled with rectangular, spherical, or cylindrical coordinates.
Moment of Inertia Each shape or body has an associated Moment of Inertia related to mass distribution and the choice of the axis around which the body is rotated. Infinite In common language, not countable in any practical manner. The standard sine function is an odd function.
Tetrahedron A polyhedron with four faces. Differential Equation A Differential Equation employs derivatives and algebra to solve for variables that represent functions. Essentially the same as a cylinder, the Washer method for integrating a volume of revolution in calculus employs a thin, hollow disk as the partition of integration. Informally, any series is a Sequence.
Taylor Series Many common functions can be written as an expansion of the function about a point in a form known as a Taylor Series. In calculus we may use three points of a parabola to approximate the function's range of values to determine the area of each partition of the integral. Area Under a Curve If we have limits of integration, it is most simply the definite integral of the function defined between those limits of integration. Identity Property of Zero.
Inverse, Matrix When two matrices multiply to produce the identity matrix, each is said to be the Inverse Matrix of the other. Tangent Line A Line is said to be Tangent to a function when it touches the graph of the function at a single point.
Shell Method A method in calculus to calculate volumetric values from functions having been rotated about an axis. Newton's Method An iterative method for finding roots of polynomials. Cylindrical Shell A method for volumetric calculations especially for rotated bodies around an axis. Given a function with a derivative, the antiderivative of that derivative function returns the original function. When two matrices multiply to produce the identity matrix, each is said to be the Inverse Matrix of the other.
Infinitely small is Infinitesimal, so tiny that it occupies no space. Three-Dimensional Coordinates Three-Dimensional Coordinates require an ordered triple to label a point in space. Mean Value Theorem Essentially, between any two extremes is an average value.
The lowest point on a graph, especially over a specified domain. Second-order Differential Equation An ordinary Differential Equation in which the highest derivative is a second derivative is called a Second-Order Differential Equation. Bounded Function A bounded function approaches or reaches a limit.
Many of our accepted geometric theorems, principles, and tenets from plane Geometry simply do not hold in Spherical Geometry. Lambda is the eleventh letter of the Greek alphabet and is used for wavelength in physics.
Illustrated Mathematics Dictionary
On any continuous function graphed on a closed interval from a domain, we are guaranteed to have a maximum and a minimum value if the range of the function is not constant. Limit Some functions have a Limit, a bound beyond which they may not realize. Rolle's Theorem A principle from first-semester calculus that asserts a first derivative of zero exists on a smooth, continuous, differentiable function between constant range values. Integral A specific function in calculus.
Product Rule An algorithm within the calculus to find the derivative of the Product of two functions. Instantaneous Velocity The reading at any instant on a speedometer gives an Instantaneous Velocity. Delta Delta is the fourth letter of the Greek alphabet. Many common functions can be written as an expansion of the function about a point in a form known as a Taylor Series.
Riemann Sum Effectively the definite integral in calculus. An integral with no limits of integration, an Indefinite Integral, can be thought of an an antiderivative.
An algorithm within the calculus to find the derivative of the Product of two functions. The Dimensions of space or volume are Three Dimensions, typically labeled with rectangular, spherical, or cylindrical coordinates.
Illustrated Mathematics Dictionary
When the graph of a function has no holes, no gaps, no steps, or no discontinuities, then it is considered Continuous. When the graph of a function comes to a sharp point, we say that point on the graph is a Cusp. Lower Bound As the name suggests, some functions are limited on the low side.
The common meaning of Finite and its meaning to mathematicians are not quite the same. Calculus is the branch of mathematics concerned with the rates of changes between variables derivatives as well as areas under curves that represent functions integrals. While in human terms anything really small a molecule is Infinitesimal, carte tehnica logan pdf in math the term means approaching zero in size.
Dot Product A product of vector multiplication, the Dot Product is a scalar, which means it has magnitude only and not an associated direction. Power Rule A simple device in calculus to determine the derivative of a monomial.
Glossary Lessons Problems Contact. The calculus glossary is part of a complete math glossary available free of charge on the website. Please send us an email with your suggestions for this glossary.
Vector Often represented with an arrow, a Vector is a quantity with both magnitude size and direction. Lambda Lambda is the eleventh letter of the Greek alphabet and is used for wavelength in physics. Magnitude, Vectors The Magnitude of a vector is the length of the vector. Some regions are bounded, some are not. The highest point on a graph, especially over a specified domain.
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