Basic Calculus Terminologies

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Across
  1. 3. / is a point of concurrency of the triangle
  2. 4. / respectfully plural of Minimum.
  3. 6. / mathematical sum or standard deviation.
  4. 8. / approximate in the sum of its terms toward a definite limit.
  5. 9. Methods / use of graphs and-or pictures as the main technique for solving a math problem.
  6. 10. Series / the divergent infinite series.
  7. 13. / a three-dimensional figure whose plane sections are ellipses or circles.
  8. 15. / the second derivative of the position function.
  9. 17. / does not converge, does not settle towards some value.
  10. 18. / the limit of f(x) as x approaches a from either direction is equal to f(a), as long as a is in the domain of f(x)
  11. 22. / can be approached in two different ways. One is geometrical (as a slope of a curve) and the other one is physical (as a rate of change).
  12. 25. / the extension of calculus in one variable to calculus with functions of several variables:
  13. 26. Integral / is defined to be exactly the limit and summation that we looked at in the last section to find the net area between a function and the x-axis. Also note that the notation for the definite integral is very similar to the notation for an indefinite integral.
  14. 27. Spiral / a logarithmic spiral whose growth factor is φ, the golden ratio.
  15. 28. / describe or represent in terms of a parameter or parameters.
  16. 32. / identical or consistent.
  17. 34. / a low triangular area of alluvial deposits where a river divides before entering a largerbody of water
  18. 35. / are infinitely small quantities.
  19. 36. Term / algebraic expression that has a value that is constant or cannot change.
  20. 37. / the maximum or minimum value of a function.
  21. 40. Method / also known as the method of disks or rings, is a way to calculate the volume of a solid of revolution by taking the sum of cross-sectional areas of infinitesimal thickness of the solid
  22. 41. / a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line
  23. 42. / is the sum of the various numbers, or elements of a sequence.
  24. 43. / sometimes also called a coil, is a curve for which the tangent makes a constant angle with a fixed line.
  25. 44. / to have or take a turn, change, or deviation from a straight line or plane surface without sharp breaks or angularity
Down
  1. 1. / are quantities that are fully described by a magnitude (or numerical value) alone
  2. 2. Number / are values of x at which or does not exist.
  3. 3. / branch of mathematics that deals with the finding and properties of derivatives and integrals of functions.
  4. 5. / the idea of something that has no end. In our world we don't have anything like it.
  5. 7. / respectfully plural of Maximum.
  6. 11. / the extension of calculus in one variable to calculus with functions of several variables.
  7. 12. Rule / a rule for differentiating compositions of functions.
  8. 14. / "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication.
  9. 16. Trig / study of hyperbolic triangles in hyperbolic geometry.
  10. 19. / the product of an integer and all the integers below it.
  11. 20. / a limiting case in which a class of object changes its nature so as to belong to another
  12. 21. / statement that has been proved on the basis of previously established statements, such as other theories, and generally accepted statements, such as axioms.
  13. 23. / function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
  14. 24. / the value that a function or sequence "approaches" as the input or index approaches some value.
  15. 29. / first derivative of the position function function.
  16. 30. Rule / fairly simple rule that helps you find the derivative of a variable raised to a power.
  17. 31. / curved inwards or there are "dents" or indentations in it
  18. 33. / a mathematical object that can be interpreted as an area or a generalization of area.
  19. 38. / width of the largest sub-interval in a partition.
  20. 39. / the fifth letter of the Greek alphabet ( Ε, ε ), transliterated as ‘e.’.
  21. 42. Field / also called vector fields or direction fields.