Korean CSAT Mathematics key terms
Korean CSAT Mathematics · Get comfortable with the vocabulary.
- Domain
The set of permitted inputs for a function, determined by its definition and any stated contextual restrictions.
- Composition
Applying one function to the result of another, with input restrictions checked at both stages of the calculation.
- Discriminant
The quantity b squared minus four ac that determines the real-root pattern of a quadratic equation.
- Arithmetic sequence
A sequence in which each term differs from the preceding term by the same fixed additive amount.
- Geometric sequence
A sequence in which each term is obtained by multiplying its predecessor by a fixed common ratio.
- Limit
The value approached by a function as its input approaches a specified point, whether or not that point is included.
- Derivative
An instantaneous rate of change, represented geometrically by the tangent slope when the derivative exists at the point.
- Critical point
An allowed input where a derivative vanishes or fails to exist, considered as a possible extremum location.
- Antiderivative
A function whose derivative equals the given integrand, with different antiderivatives differing by a constant on an interval.
- Definite integral
Signed accumulation over a specified interval, evaluated by an appropriate integration method with the bounds in their stated order.
- Dot product
The sum of products of corresponding vector components, relating two vectors to the cosine of their included angle.
- Vector magnitude
The nonnegative length of a vector, computed from its components using the appropriate Euclidean distance formula.
- Radian
An angle measure defined by arc length divided by radius, used in standard trigonometric differentiation formulas.
- Coordinate shift
A translation that changes a figure’s position while preserving its shape, with signs interpreted from the equation.
- Projection
The component of a vector along a specified direction, distinct from the magnitude of the entire vector.
- Conditional probability
The probability of an event after restricting attention to a specified conditioning event with positive probability.
- Expected value
The sum of each possible numerical outcome multiplied by its probability, describing long-run average behavior under the model.
- Variance
Average squared deviation from the mean, using the population or sample definition appropriate to the stated calculation.
- Combination
An unordered selection of objects, unlike a permutation in which different arrangements count as different outcomes.
- Weighted mean
An average that multiplies each value or group mean by its relevant weight before dividing by total weight.