pull request

1 files changed, 53 insertions, 0 deletions

diff --git a/FSF-2020/calculus/intro-to-calculus/riemann-integrals/mimi.py b/FSF-2020/calculus/intro-to-calculus/riemann-integrals/mimi.py
new file mode 100644
index 0000000..2471c87
--- /dev/null
+++ b/FSF-2020/calculus/intro-to-calculus/riemann-integrals/mimi.py
@@ -0,0 +1,53 @@
+class mimi(GraphScene):
+	CONFIG = {
+		"y_max": 5,
+        "x_max": 6,
+        "x_min": 0,
+        "y_min": 0,
+        "x_axis_width": 5,
+        "y_axis_height": 5,
+        "init_dx":0.5,
+        "graph_origin": ORIGIN+2*DOWN+6*LEFT,
+	}
+	def construct(self):
+		self.setup_axes()
+		def func(x):
+			return  0.1*(x)*(x-3)*(x-7)+3
+
+		graph=self.get_graph(func,x_min=0,x_max=6)
+		kwargs = {
+			"x_min" : 1.5,
+			"x_max" : 5.5,
+			"fill_opacity" : 0.5,
+			"stroke_width" : 0.25,
+		}
+		flat_rectangles = self.get_riemann_rectangles(self.get_graph(lambda x : 0),dx=self.init_dx,**kwargs)
+		riemann_rectangles_list = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "right")
+		riemann_rectangles_list1 = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "left")
+		self.add(graph)
+		self.play(ReplacementTransform(flat_rectangles,riemann_rectangles_list[0]), ReplacementTransform(flat_rectangles,riemann_rectangles_list1[0]))
+		#self.play(ReplacementTransform(flat_rectangles,riemann_rectangles_list1[0]))
+		self.wait(2)
+		kwargs = {
+			"x_min" : 3,
+			"x_max" : 3.5,
+			"fill_opacity" : 0.5,
+			"stroke_width" : 0.25,
+		}
+		riemann_rectangles_list2 = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "right")
+		riemann_rectangles_list3 = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "left")
+		#self.play(FadeOut(riemann_rectangles_list[0]), FadeOut(riemann_rectangles_list1[0]))
+		self.play(ReplacementTransform(flat_rectangles,riemann_rectangles_list2[0]), ReplacementTransform(flat_rectangles,riemann_rectangles_list3[0]), FadeOut(riemann_rectangles_list[0]), FadeOut(riemann_rectangles_list1[0]))
+		minlim = self.get_vertical_line_to_graph(3,graph,DashedLine)
+		maxlim = self.get_vertical_line_to_graph(3.5,graph,DashedLine)
+		line2 = Line(self.graph_origin+2.5*RIGHT, self.graph_origin+2.9*RIGHT)
+		brace1 = Brace(minlim, LEFT)
+		brace2 = Brace(line2, DOWN)
+		brace3 = Brace(maxlim, RIGHT)
+		br1text = brace1.get_text(r"${M}_{i}$").next_to(brace1, LEFT)
+		br2text = brace2.get_text(r"$\Delta x$").next_to(brace2, DOWN)
+		br3text = brace3.get_text(r"${m}_{i}$").next_to(brace3, RIGHT)
+		text1 = TexMobject(r"\Delta x=(b-a)/n").shift(2*RIGHT)
+		grp3 = VGroup(br1text, br2text, br3text, brace1, brace2, brace3, text1)
+		self.play(ShowCreation(grp3))
+		self.wait(5)