# AB Calculus

Make math class exponentially easier by reviewing this list of terms that are integral to AB Calculus. You'll learn about differentiation, derivatives, limits, functions, and more.

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### Explore the Words

definitions & notes
only words

1. acceleration

an increase in rate of change
2. area

the extent of a two-dimensional surface within a boundary
3. asymptote

a straight line that is the limiting value of a curve
4. asymptotic

relating to or of the nature of an asymptote
5. calculus

the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
6. concavity

the property possessed by a concave shape
7. continuity

uninterrupted connection or union
8. continuous

moving in time or space without interruption
9. definite integral

the integral of a function over a definite interval
10. derivative

the result of mathematical differentiation
11. differential calculus

the part of calculus that deals with the variation of a function with respect to changes in the independent variable (or variables) by means of the concepts of derivative and differential
12. differentiation

the process of obtaining the derivative of a function
13. discontinuous

of a function or curve
14. equation

a mathematical statement that two expressions are the same
15. exponential function

a function in which an independent variable appears as an exponent
16. extremum

the most extreme possible amount or value
17. first derivative

the result of mathematical differentiation
18. function

a mathematical relation associating elements between sets
19. integral

the result of a summative operation in calculus
20. integrate

calculate a summative operation in calculus
21. integration

an operation determining the area bounded by a function
22. interval

a set containing all points between two given endpoints
23. inverse function

a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
24. limit

the mathematical value toward which a function approaches
25. linearity

the property of having one dimension
26. logarithmic

of or relating to or using logarithms
27. magnitude

the property of relative size or extent
28. maximum

the point on a curve where the tangent changes
29. minimum

the point on a curve where the tangent changes
30. monotonic

of a sequence or function
31. slope

the property of a line that departs from the horizontal
32. substitution

an event in which one thing is replaced by another
33. summation

the complete total or aggregate
34. tangent

a line that touches a curve at only one point
35. trigonometric function

function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
36. velocity

distance traveled per unit time in one direction
37. volume

the amount of 3-dimensional space occupied by an object
Created on February 7, 2017
(updated March 29, 2017)