From f139e8f741767ce7b058075c85fb1ad66d4761ad Mon Sep 17 00:00:00 2001
From: Emma Smith Zbarsky <88841524+eszmw@users.noreply.github.com>
Date: Thu, 15 Feb 2024 21:33:09 -0500
Subject: [PATCH] Update README.md
Remove unnecessary line breaks from table
---
README.md | 10 +++++-----
1 file changed, 5 insertions(+), 5 deletions(-)
diff --git a/README.md b/README.md
index f5fcd72..c83971a 100644
--- a/README.md
+++ b/README.md
@@ -58,11 +58,11 @@ MATLAB® is used throughout. Tools from the Symbolic Math Toolbox™ are used fr
# Scripts
| **Full Script**
| **Visualizations**
| **Learning Goals**
In this script, students will...
| **Practice**
|
| :-- | :-- | :-- | :-- |
- | [Antiderivatives.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/Antiderivatives.mlx)
| [Visualizing Antiderivatives](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/AntiderivativesViz.mlx)
| - see a graphical presentation of the concept of general antiderivatives.
- develop computational fluency with the antiderivatives of powers,
sines, cosines, and exponentials.
| [Calculate Antiderivatives](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/AntiderivativesPractice.mlx)
$\displaystyle {\int \sin (3z)\;dz=-\frac{\cos (3z)}{3}+C}$
|
-| [FundamentalTheorem.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/FundamentalTheorem.mlx)
| [Visualizing the FTC](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/FundamentalTheoremViz.mlx)
| - explain the fundamental theorem of calculus.
- see why the Fundamental Theorem of Calculus makes sense graphically.
- develop computational fluency for definite integrals involving linear and
rational combinations of powers, sines, cosines, exponentials and natural
logarithms.
| [Apply the Fundamental Theorem of Calculus](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/FundamentalTheoremPractice.mlx)
$\displaystyle {\int_1^3 \frac{1}{w^2 }\;dw=-\frac{1}{3}+1=\frac{2}{3}}$
|
-| [Riemann.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/Riemann.mlx)
| [Visualizing Riemann Sums](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/RiemannViz.mlx)
| - explain and apply the different approximations computed by a
left\-endpoint, right\-endpoint, midpoint, maximum, or minimum
method of selecting a height value in a Riemann sum.
| - explain and apply the trapezoidal approximation.
- explain why increasing the number of intervals in an approximation will decrease the error.
- discuss the implications for applying calculus in applications with values that are discrete or continuous.
|
-| [Substitution.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/Substitution.mlx)
| [Visualizing Substitution](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/SubstitutionViz.mlx)
| - explain what the method of substitution is and how it works.
- develop fluency with computing integrals of combinations of
powers, sines, cosines, exponentials and logarithms that are solvable
by substitution by hand.
- see a graphical understanding of the method of substitution.
| [Apply the method of substitution](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/SubstitutionPractice.mlx)
$\displaystyle {\int \frac{\cos \left(\ln (t)+1\right)}{t}\;dt=\sin \left(\ln (t)+1\right)+C}$
|
-| [ByParts.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/ByParts.mlx)
| [Visualizing Integration by Parts](.Scripts/ByPartsViz.mlx)
| - explain what the method of integration by parts is and how it works.
- develop fluency with computing integrals involving powers, sines,
cosines, exponentials and logarithms that are solvable by integration by
parts by hand.
- see a graphical understanding of the integration by parts formula.
| [Apply the method of integration by parts](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/ByPartsPractice.mlx)
$\displaystyle {\int y^2 e^y \;dy=y^2 e^y -2ye^y +2e^y +C}$
$\displaystyle =(y^2 -2y+2)e^y +C$
|
+ | [Antiderivatives.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/Antiderivatives.mlx)
| [Visualizing Antiderivatives](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/AntiderivativesViz.mlx)
| - see a graphical presentation of the concept of general antiderivatives.
- develop computational fluency with the antiderivatives of powers, sines, cosines, and exponentials.
| [Calculate Antiderivatives](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/AntiderivativesPractice.mlx)
$\displaystyle {\int \sin (3z)\;dz=-\frac{\cos (3z)}{3}+C}$
|
+| [FundamentalTheorem.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/FundamentalTheorem.mlx)
| [Visualizing the FTC](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/FundamentalTheoremViz.mlx)
| - explain the fundamental theorem of calculus.
- see why the Fundamental Theorem of Calculus makes sense graphically.
- develop computational fluency for definite integrals involving linear and rational combinations of powers, sines, cosines, exponentials and natural logarithms.
| [Apply the Fundamental Theorem of Calculus](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/FundamentalTheoremPractice.mlx)
$\displaystyle {\int_1^3 \frac{1}{w^2 }\;dw=-\frac{1}{3}+1=\frac{2}{3}}$
|
+| [Riemann.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/Riemann.mlx)
| [Visualizing Riemann Sums](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/RiemannViz.mlx)
| - explain and apply the different approximations computed by a left\-endpoint, right\-endpoint, midpoint, maximum, or minimum method of selecting a height value in a Riemann sum.
| - explain and apply the trapezoidal approximation.
- explain why increasing the number of intervals in an approximation will decrease the error.
- discuss the implications for applying calculus in applications with values that are discrete or continuous.
|
+| [Substitution.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/Substitution.mlx)
| [Visualizing Substitution](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/SubstitutionViz.mlx)
| - explain what the method of substitution is and how it works.
- develop fluency with computing integrals of combinations of powers, sines, cosines, exponentials and logarithms that are solvable
by substitution by hand.
- see a graphical understanding of the method of substitution.
| [Apply the method of substitution](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/SubstitutionPractice.mlx)
$\displaystyle {\int \frac{\cos \left(\ln (t)+1\right)}{t}\;dt=\sin \left(\ln (t)+1\right)+C}$
|
+| [ByParts.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/ByParts.mlx)
| [Visualizing Integration by Parts](.Scripts/ByPartsViz.mlx)
| - explain what the method of integration by parts is and how it works.
- develop fluency with computing integrals involving powers, sines, cosines, exponentials and logarithms that are solvable by integration by
parts by hand.
- see a graphical understanding of the integration by parts formula.
| [Apply the method of integration by parts](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Calculus-Integrals&project=Integrals.prj&file=Scripts/ByPartsPractice.mlx)
$\displaystyle {\int y^2 e^y \;dy=y^2 e^y -2ye^y +2e^y +C}$
$\displaystyle =(y^2 -2y+2)e^y +C$
|