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• Precalculus exercises
  ...s of the $x$-coordinates of the intersections between the parabola and the line below: [[image:area between parabola and horizontal line.png| center]]
  17 KB (2,933 words) - 19:37, 30 July 2018
• Series
  ...t is justified by the fact that when you zoom in on the point, the tangent line will merge with the graph: ...of the curve that pass through the point; from those we choose the tangent line.
  113 KB (19,100 words) - 23:07, 3 January 2019
• Line integrals
  ==Line integrals: flux== providing the mass of a curve of variable density. The third is the ''line integral along an oriented curve'':
  12 KB (2,194 words) - 14:37, 5 December 2017
• Linear functions in Euclidean space
  *$0$, a line, or ${\bf R}^2$. *${\rm Im}(f) =$ a line, for example $f(x_1, x_2) = (x_1, 0)$ is the [[projection]].
  23 KB (3,893 words) - 04:43, 15 February 2013
• Freshman's introduction to discrete calculus
  ...h other at the nodes to form a continuous curve. However, it is a straight line? The ration is also known as the ''slope'' of the line.
  42 KB (7,443 words) - 14:18, 1 August 2016
• Homotopy
  This is called the ''straight-line homotopy''. ...ply connected because every loop can be deformed to a point via a straight line homotopy:
  46 KB (7,846 words) - 02:47, 30 November 2015
• Discrete forms
  ...he simplest setting, we deal with the intervals in the complex in the real line ${\mathbb R}$. Then the form assigns a number to each interval to indicate One should recognize the second line as a line integral:
  35 KB (6,055 words) - 13:23, 24 August 2015
• Topology Illustrated -- Index
  *[[line integral|line integral]] *[[line with two origins|line with two origins]]
  16 KB (1,773 words) - 00:41, 17 February 2016
• Vector calculus: midterm
  ##There is only one natural parametrization of a straight line. ...ic formula for the 3D-line through the point $(2,3,4)$ and parallel to the line through the points $(1,1,1)$ and $(-1,-2,-3)$.
  4 KB (674 words) - 02:48, 22 August 2011
• Limits: transition from discrete to continuous
  Suppose a real number $x$ is given. We construct a line segment of length $1$ on the plane. Then *$\cos x$ is the projection of the segment on the horizontal line,
  51 KB (9,271 words) - 20:02, 8 September 2016
• Mobius band
  What happens if we cut the Mobius band along this line? The result is a thinner band with a double twist. '''Problem.''' What happens if we cut the [[Mobius band]] along the middle line?
  3 KB (510 words) - 16:22, 17 March 2014
• Calculus by Rogawski
  2.1 [[Limit]]s, Rates of Change, and [[Tangent Line]]s ==Chapter 16: Line and Surface Integrals==
  6 KB (634 words) - 16:38, 1 March 2013
• Discrete calculus article
  ...'differentiation''. Given a function defined at several points of the real line, the difference quotient at that point is a way of encoding the small-scale ...hat is, if the [[Graph of a function|graph]] of the function is a straight line), then the function can be written as $y=mx + b$, where $x$ is the independ
  27 KB (4,329 words) - 16:02, 1 September 2019
• Parametric curves
  [[Image:tangent line examples.jpg|center]] ...[[tangent line]] to the circle at any point: the [[slope]] of the tangent line is equal to the value of the [[derivative]] of $f$ at the point.
  34 KB (5,665 words) - 15:12, 13 November 2012
• Cubical calculus
  ...he simplest setting, we deal with the intervals in the complex of the real line ${\mathbb R}$. Then the cochain assigns a number to each interval to indica One should recognize the second line as a line integral:
  25 KB (4,238 words) - 02:30, 6 April 2016
• Calculus 3: final
  8. Evaluate the line integral $\int_{C}x^{2}y^{3}dx-y\sqrt{x}dy$, where $C$ is parametrized by 9. (a) Explain what it means for a line integral $\int_{C}\mathbf{F}\cdot d\mathbf{r}$ to be independent of path. (
  4 KB (652 words) - 15:22, 9 March 2014
• Calculus I -- Fall 2017
  ...line segment (the path that lies on the hill) will be labeled as A and the line that lies on flat ground will be labeled as B. As for the x variable that **Number systems. Distance formula. Slope of a line. Standard equations of lines.
  13 KB (2,075 words) - 13:35, 27 November 2017
• Physics
  ...e above formula still applies but, as we add them together, we produce a ''line integral'': ...varphi =fdx+gdy$ we construct a $0$-form $\psi$ with $d\psi =\varphi$ as a line integral. We fix a point $a \in {\bf R}^n$ and define $\psi$ as a function
  4 KB (778 words) - 16:47, 16 July 2014
• Quotients of vector spaces
  Then each equivalence class is a line: ...which appear in a 1-1 correspondence with the points on the other diagonal line.
  6 KB (1,115 words) - 16:03, 27 August 2015
• Velocity
  [[Image:tangent line examples.jpg|center]] ...[[tangent line]] to the circle at any point: the [[slope]] of the tangent line is equal to the value of the [[derivative]] of $f$ at the point.
  4 KB (662 words) - 15:17, 13 November 2012

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