Korean CSAT Mathematics study materials
Korean CSAT Mathematics study resources

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.