A method for finding the derivative of an implicitly defined function or relation.

I (2)

A function with a graph that goes up as it is followed from left to right.

I (2)

An undefined expression which can have a value if arrived at as a limit.

I (2)

Proving a conjecture by assuming conjecture is false; if this leads to a contradiction, the original conjecture must have been true; employs the logical method modus tolens.

I (1)

A method for proving a proposition that is valid for infinitely many different values of a variable.

I (1)

A set that can be placed in one-to-one correspondence with a proper subset of itself.

I (1)

A hypothetical number that is larger than zero but smaller than any positive real number.

I (2)

A point at which a curve changes from concave up to concave down, or vice-versa.

I (3)

A differential equation or partial differential equation accompanied by conditions for the value of the function and possibly its derivatives at one particular point in the domain.

I (1)

The radius of a plane figure's inscribed circle.

I (2)

A function for which the definite integral exists.

I (2)

A convergence test used for positive series with decreasing terms.

I (3)

A theorem verifying that the graph of a continuous function is connected.

I (1)

A property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects.

I (1)

Negation of the hypothesis and conclusion of a conditional statement.

I (2)

A square matrix which has an inverse.

I (1)

A transformation that is invariant with respect to distance; the distance between any two points in the pre-image must be the same as the distance between the images of the two points.

1st letter/# words

Term

Hint

I (2)

An algorithm which involves repeated use of the same formula or steps.

J (2)

Discontinuity for which the limits from the left and right both exist but are not equal to each other.

K (2)

Topological figure that is closed and bottle shaped with only one surface area.

K (2)

Figure - start with equilateral triangle, replace middle third of each segment with 2 sides of a new triangle, repeat process forever.

K (3)

Topological problem: take a walk in a certain city & return to the starting point after crossing each of the city's 7 bridges just once.

L (2)

Way to evaluate limits of fractions that evaluate to indeterminate expressions by finding limit of the derivatives of the numerator & denominator.

L (2)

Line segment through a focus of a conic section, perpendicular to major axis, endpoints on curve.

L (3)

The Ceiling Function.

L (4)

The linear fit that matches the pattern of a set of paired data as closely as possible.

L (6)

The smallest of all upper bounds of a set of numbers.

L (1)

A helping theorem; proven, but not interesting enough to be a theorem; of interest only because it is a stepping stone in a formal proof.

L (1)

r^{2} = a^{2} cos 2θ; A curve usually expressed in polar coordinates that resembles a figure eight.

L (1)

r = b + a cos θ ; A famliy of related curves, of which the cardiod is a special kind.

L (1)

The value a function approaches as the domain variable(s) approach a specific value.

L (2)

Algorithm for finding largest or smallest possible values of a linear polynomial.

L (2)

The appearance or properties of a function, graph, or geometric figure in the immediate neighborhood of a particular point.

L (1)

A word for a set of points that forms a geometric figure or graph.

L (2)

A model for a quantity that increases quickly at first and then more slowly as the quantity approaches an upper limit.