Mathematical Terms and Operations

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Across
  1. 4. whole numbers, both positive (natural numbers) and negative, including zero
  2. 7. a mathematical statement or hypothesis which has been proved on the basis of previously established theorems and previously accepted axioms, effectively the proof of the truth of a statement or expression
  3. 8. a number that will divide into another number exactly, e.g. the factors of 10 are 1, 2 and 5
  4. 10. a step by step procedure by which an operation can be carried out
  5. 11. a branch of mathematics that uses symbols or letters to represent variables, values or numbers, which can then be used to express operations and relationships and to solve equations
  6. 13. a type of conic section curve, any point of which is equally distant from a fixed focus point and a fixed straight line
  7. 15. a member of, or an object in, a set
Down
  1. 1. a measure of how a function or curve changes as its input changes, i.e. the best linear approximation of the function at a particular input value, as represented by the slope of the tangent line to the graph of the function at that point, found by the operation of differentiation
  2. 2. a physical quantity having magnitude and direction represented by a directed arrow indicating its orientation in space
  3. 3. number, a number with at least one other factor besides itself and one, i.e. not a prime number
  4. 5. the part of mathematics concerned with the size, shape and relative position of figures, or the study of lines, angles, shapes and their properties
  5. 6. a line that the curve of a function tends towards as the independent variable of the curve approaches some limit (usually infinity) i.e. the distance between the curve and the line approaches zero
  6. 9. the ordered pair that gives the location or position of a point on a coordinate plane, determined by the point’s distance from the x and y axes, e.g. (2, 3.7) or (-5, 4)
  7. 12. the steepness or incline of a line, determined by reference to two points on the line, e.g. the slope of the line y = mx + b is m, and represents the rate at which y is changing per unit of change in x
  8. 14. a collection of distinct objects or numbers, without regard to their order, considered as an object in its own right