add topic-name folder

7 files changed, 0 insertions, 721 deletions

diff --git a/FSF-2020/integrals-of-multivariable-functions/README.md b/FSF-2020/integrals-of-multivariable-functions/README.md
deleted file mode 100644
index a321caf..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/README.md
+++ /dev/null
@@ -1 +0,0 @@
-FSF2020--Somnath Pandit

diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/YlimitXdependent.gif b/FSF-2020/integrals-of-multivariable-functions/double-integrals/YlimitXdependent.gif
deleted file mode 100644
index a2bfd9d..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/YlimitXdependent.gif
+++ /dev/null
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py
deleted file mode 100644
index 773840c..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py
+++ /dev/null
@@ -1,73 +0,0 @@
-from manimlib.imports import *
-
-
-class AreaUnderIntegral(GraphScene):
-    CONFIG = {
-        "x_min" : 0,
-        "x_max" : 5,
-        "y_min" : 0,
-        "y_max" : 6,
-        "Func":lambda x : 1+x**2*np.exp(-.15*x**2)
-    }  
-
-    def construct(self):
-        X = RIGHT*self.x_axis_width/(self.x_max- self.x_min)
-        Y = UP*self.y_axis_height/(self.y_max- self.y_min)
-        
-        int_area_sym=TextMobject("$$\int_{a}^b f(x)dx$$").shift(2*UP)
-        area_mean_text = TextMobject(r"means area under the curve of $f(x)$ \\ in the region $a\leq x\leq b$").next_to(int_area_sym,DOWN)
-        
-        opening_text=VGroup(*[int_area_sym,area_mean_text])
-        self.play(Write(opening_text),run_time=4)
-        self.wait(2)
-        self.play(FadeOut(opening_text))
-
-        self.setup_axes(animate=True)
-        func= self.get_graph(self.Func, x_min=0,x_max=5)
-        self.curve=func 
-        
-        func_text = TextMobject(r"$y = f(x)$").next_to(func,UP)
-        min_lim = self.get_vertical_line_to_graph(1,func,DashedLine,color=YELLOW)
-        tick_a=TextMobject(r"$a$").next_to(min_lim,DOWN)
-        max_lim = self.get_vertical_line_to_graph(4,func,DashedLine,color=YELLOW)
-        tick_b=TextMobject(r"$b$").next_to(max_lim,DOWN)
-        
- #       area = self.get_area(func,1,4)
-
-        self.play(ShowCreation(func), ShowCreation(func_text))
-	
-        self.wait(2)
-        self.play(ShowCreation(min_lim),Write(tick_a), ShowCreation(max_lim),Write(tick_b),run_time=0.5)
-        
-  
-        approx_text=TextMobject(r"The area can be approximated as \\ sum of small rectangles").next_to(func,4*Y) 
-        self.play(Write(approx_text))
-        
-        rect_list = self.get_riemann_rectangles_list(
-            self.curve, 5, 
-            max_dx = 0.25,
-            x_min = 1,
-            x_max = 4,
-        )
-        flat_graph = self.get_graph(lambda t : 0)
-        rects = self.get_riemann_rectangles( flat_graph, x_min = 1, x_max = 4, dx = 0.5)
-        for new_rects in rect_list:
-            new_rects.set_fill(opacity = 0.8)
-            rects.align_submobjects(new_rects)
-            for alt_rect in rects[::2]:
-                alt_rect.set_fill(opacity = 0)
-            self.play(Transform(
-                rects, new_rects,
-                run_time = 1.5,
-                lag_ratio = 0.5
-            ))
-        conclude_text=TextMobject(r"Making the rectangles infinitesimally thin \\ we get the real area under the curve.").next_to(func,4*Y) 
-        self.play(Transform(approx_text,conclude_text))
-        self.wait(3)
-        int_area_sym.next_to(self.curve,IN)
-        self.play(Transform(conclude_text,int_area_sym))
-        
- #       self.play(ShowCreation(area))
-        self.wait(3)
-        
-#uploaded by Somnath Pandit.FSF2020_Double_Integral
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/elementary_area.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/elementary_area.py
deleted file mode 100644
index 362b6f8..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/elementary_area.py
+++ /dev/null
@@ -1,144 +0,0 @@
-from manimlib.imports import *
-
-class ElementaryArea(GraphScene):
-    CONFIG = {
-        "x_min" : 0,
-        "x_max" : 2,
-        "y_min" : 0,
-        "y_max" : 2, 
-        "x_tick_frequency" : 1,
-        "y_tick_frequency" : 1,
-     #   "x_labeled_nums": list(np.arange(0,3)),
-      #  "y_labeled_nums": list(np.arange(0 ,3)),
-        "x_axis_width": 6,
-        "y_axis_height": 6,
-        "graph_origin": ORIGIN+3.5*LEFT+3.5*DOWN,    
-    }
-
-    def construct(self):
-        X = self.x_axis_width/(self.x_max- self.x_min)
-        Y = self.y_axis_height/(self.y_max- self.y_min)
-        self.X=X ;self.Y=Y 
-        self.setup_axes(animate=False)
-        
-        caption=TextMobject("The elementary area in ").to_edge(UP)
-        rect_text=TextMobject("Cartesian Coordinates").next_to(caption,DOWN,)
-        polar_text=TextMobject("Polar Coordinates").next_to(caption,DOWN,) 
-        
-        self.add(caption)
-        self.play(Write(rect_text))
-        self.get_rect_element()
-    #    self.play(Write(polar_text))
-        self.play(ReplacementTransform(rect_text,polar_text),
-          FadeOut(VGroup(self.dydx,self.rect_brace_gr)))
-        self.get_polar_element()
-        
-        
-        
-    def get_rect_element(self):
-        rect=Rectangle(
-            height=2, width=3,fill_color=BLUE_D,
-            fill_opacity=1, color=BLUE_D
-            ).scale(.75).move_to(
-            self.graph_origin+(RIGHT*self.X+UP*self.Y)
-            )
-        dx_brace=Brace(rect, DOWN, buff = SMALL_BUFF)
-        dx_label=dx_brace.get_text("$dx$", buff = SMALL_BUFF)
-        dx_brace_gr=VGroup(dx_brace,dx_label)
-        
-        dy_brace=Brace(rect,RIGHT, buff = SMALL_BUFF)
-        dy_label=dy_brace.get_text("$dy$", buff = SMALL_BUFF)
-        dy_brace_gr=VGroup(dy_brace,dy_label)
-        
-        brace_gr=VGroup(dx_brace_gr,dy_brace_gr)
-        
-        dydx=TextMobject("$dxdy$",color=BLACK).next_to(rect,IN)
-
-        self.play(FadeIn(rect))
-        self.play(GrowFromCenter(brace_gr))
-        self.play(GrowFromCenter(dydx))
-                 
-        self.rect=rect
-        self.rect_brace_gr=brace_gr
-        self.dydx=dydx
-        self.wait(2)
-  
-        
-    def  get_polar_element(self):
-        X=self.X ;Y=self.Y 
-        theta1=25*DEGREES
-        dtheta=TAU/12
-        r_in=1.3*X ; r_out=1.9*X
-        
-        arc=AnnularSector(
-        arc_center=self.graph_origin,
-        inner_radius=r_in,
-        outer_radius=r_out ,
-        angle= dtheta,
-        start_angle= theta1,
-        fill_opacity= 1,
-        stroke_width= 0,
-        color= BLUE_D, 
-        )
-        
-        
-    # # #getting braces
-        r_in_theta1=self.graph_origin+r_in*(np.cos(theta1)*RIGHT+np.sin(theta1)*UP)
-        dr_line=Line(r_in_theta1,r_in_theta1+RIGHT*(r_out-r_in))
-        dr_brace=Brace(dr_line, DOWN, buff = SMALL_BUFF
-            ).rotate(theta1, about_point=r_in_theta1
-            )
-        dr_label=dr_brace.get_text("$dr$", buff = SMALL_BUFF)
-        dr_brace_gr=VGroup(dr_brace,dr_label)
-        
-        theta2=theta1+dtheta
-        r_out_theta2=self.graph_origin+r_out*(
-            np.cos(theta2)*RIGHT+np.sin(theta2)*UP
-            )
-        rdt_line=Line(r_out_theta2,r_out_theta2
-            +DOWN*(r_out*dtheta)
-            )
-        rdt_brace=Brace(rdt_line, RIGHT, 
-            buff = MED_SMALL_BUFF).rotate(
-            theta2-(dtheta/2), about_point=r_out_theta2
-            )
-        rdt_label=rdt_brace.get_text("$rd\\theta$",buff = SMALL_BUFF)
-        rdt_brace_gr=VGroup(rdt_brace,rdt_label)
-   
-   #getting label r and dtheta 
-        r1=DashedLine(self.graph_origin,r_in_theta1).set_color(RED)
-        r2=DashedLine(self.graph_origin,r_out_theta2).set_color(RED)   
-        r_brace=Brace(r1, DOWN, buff = SMALL_BUFF).rotate(theta1, about_point=self.graph_origin)
-        r_label=r_brace.get_text("$r$", buff = SMALL_BUFF)
-        r_brace_gr=VGroup(r_brace,r_label)
-        
-        dtheta_arc=Arc(
-        arc_center=self.graph_origin,
-        radius=.5*X,
-        angle= dtheta,
-        start_angle=  theta1,
-        )
-        dtheta_arc_label=TextMobject("$d\\theta$").move_to(.99*dtheta_arc.get_corner(UR))
-        dtheta_label=VGroup(dtheta_arc,dtheta_arc_label)
-        
-        
-        rdrdt=TextMobject("$rdrd\\theta$",color=BLACK).next_to(arc,IN)
-        self.play(ReplacementTransform(self.rect,arc))
-        self.wait()
-        self.play(ShowCreation(r1),
-                ShowCreation(r2)
-                )
-        self.play(ShowCreation(r_brace_gr),
-                Write(dtheta_label)
-                )
-        self.wait()
-        self.play(GrowFromCenter(rdt_brace_gr))
-        self.wait(.5)
-        self.play(GrowFromCenter(dr_brace_gr))
-        self.wait(.5)
-        self.play(GrowFromCenter(rdrdt))
-        
-        self.wait(2)
-        
-        
-  #uploaded by Somnath Pandit.FSF2020_Double_Integral
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/non_rect_region.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/non_rect_region.py
deleted file mode 100644
index 793a000..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/non_rect_region.py
+++ /dev/null
@@ -1,154 +0,0 @@
-from manimlib.imports import *
-
-class AreaUnderCurve(GraphScene):
-    CONFIG = {
-        "x_min" : -1,
-        "x_max" : 8,
-        "y_min" : -1,
-        "y_max" : 5, 
-        "y_axis_label": "$y$",
-        "x_tick_frequency" : 1,
-        "y_tick_frequency" : 1,
-        "x_labeled_nums": list(np.arange(-1, 9)),
-	    "y_labeled_nums": list(np.arange(-1, 6)),
-	    "y_axis_height":5.5,
-        "graph_origin": ORIGIN+4*LEFT+2.5*DOWN,    
-    }
-
-    def construct(self):
-        X = RIGHT*self.x_axis_width/(self.x_max- self.x_min)
-        Y = UP*self.y_axis_height/(self.y_max- self.y_min)
-        
-        sofar_text=TextMobject(r"So far we have integrated  over \\ rectangular regions")
-        self.play(Write(sofar_text))
-        self.play(sofar_text.to_edge,UP)
-        
-        self.setup_axes(animate=False)
-        
-        rect= self.get_graph(
-            lambda x : 3,
-            x_min = 0,
-            x_max = 5,
-            color = GREEN)
-            
-        rect_region = self.get_riemann_rectangles(
-            rect, 
-            x_min = 0,
-            x_max = 5,
-            dx =.01,
-            start_color = GREEN,
-            end_color = GREEN,
-            fill_opacity = 0.75,
-            stroke_width = 0,
-        )
-        
-        self.play(ShowCreation(rect_region))
-        self.wait(.5)
-        
-        rect_int=TextMobject(r"Here the integration limits are set as").to_edge(UP)
-        rect_lim=TextMobject(r"$$\int_{x=0}^{5}\int_{y=0}^{3}$$").next_to(rect_int,DOWN) 
-        const_text=TextMobject(r"$\longleftarrow $ \textsf the limits are\\ constant values").next_to(rect_lim,RIGHT)
-        
-        self.play(ReplacementTransform(sofar_text,rect_int))
-        self.wait(1.5)
-        self.play(FadeIn(rect_lim))
-        self.wait(2)
-        self.play(Write(const_text))
-        self.wait(2)
-        self.play(FadeOut(rect_int), FadeOut(rect_lim),FadeOut(const_text))
-        
-        
-        non_rect_text=TextMobject(r"Now we see how to integrate over \\ non-rectangular regions")
-        non_rect_text.to_edge(UP)
-        self.play(Write(non_rect_text))
-        self.wait(1.5)
-        self.play(FadeOut(rect_region))
-        
-        c1= self.get_graph(
-            lambda x : x**2/4,
-            x_min = 0,
-            x_max = 4,
-            color = RED)
-            
-        c1_region = self.get_riemann_rectangles(
-            c1, 
-            x_min = 0,
-            x_max = 4,
-            dx =.01,
-            start_color = BLUE,
-            end_color = BLUE,
-            fill_opacity = 0.75,
-            stroke_width = 0,
-        )
-        self.add(c1,c1_region)
- #       self.wait(2)
-        
-        c2= self.get_graph(
-            lambda x :12-2*x,
-            x_min = 4,
-            x_max = 6,
-            color = RED)
-            
-        c2_region = self.get_riemann_rectangles(
-            c2, 
-            x_min = 4,
-            x_max = 6,
-            dx =.01,
-            start_color = BLUE,
-            end_color = BLUE,
-            fill_opacity = .75,
-            stroke_width = 0,
-        )
-        self.add(c2_region,c2)
-        self.wait(1.5)
-        c=VGroup(*[c1,c2])
-        
-        no_func_text=TextMobject(r"The whole region can't be expressed as\\ bounded by a single $f(x)$").next_to(c2,UP,buff=LARGE_BUFF)
-        
-        self.play(ReplacementTransform(non_rect_text,no_func_text))
-        self.wait(1)
-        self.play(Indicate(c))
-        self.wait(2)
-        
-        div_region_text=TextMobject(r"So the region is divided into two").next_to(c2,UP,buff=MED_LARGE_BUFF)
-        self.play(ReplacementTransform(no_func_text,div_region_text))
-        
-        c2.set_color(YELLOW)
-        self.play(c2_region.set_color,YELLOW)
-        c1_text=TextMobject("$\dfrac{x^2}{4}$").next_to(c1,IN)
-        c2_text=TextMobject("$12-2x$").next_to(c2,IN+2*X)
-        c_text=VGroup(*[c1_text,c2_text])
-        
-        self.play(FadeIn(c_text))
-        self.wait(.4)
-        self.play(Indicate(c1),Indicate(c1_text))
-        self.play(Indicate(c2),Indicate(c2_text))
-        
-        easy_text=TextMobject(r"Now the limis can be set easily").next_to(c2,UP,buff=.5)
-        self.play(ReplacementTransform(div_region_text,easy_text))
-        
-        c1_int=TextMobject(r"$$\int_{x=0}^{4}\int_{y=0}^{\dfrac{x^2}{4}}$$").next_to(c1,IN).shift(.5*(-X+1.3*Y))
-        c2_int=TextMobject(r"$$\int_{x=4}^{6}\int_{y=0}^{12-2x}$$").next_to(c2,IN+X)
-        
-        self.play(ReplacementTransform(c1_text,c1_int),ReplacementTransform(c2_text,c2_int))
-        self.wait(2)
-        
-        total_int=TextMobject(r"The total integraton= ").to_edge(UP)
-        plus=TextMobject("$$+$$").move_to(self.graph_origin+4*X+4.8*Y)
-        self.play(ReplacementTransform(easy_text,total_int))
-        self.play(c2_region.set_color,BLUE)
-        self.play(c1_int.next_to,c1,.1*UP, c2_int.next_to,plus,RIGHT, FadeIn(plus))
-        
-        region=VGroup(*[c1_region,c2_region])
-        region.set_color(GREEN)
-        self.play(ShowCreation(region))
-        self.wait(3)
-
-        
-	
-#uploaded by Somnath Pandit.FSF2020_Double_Integral
-        
-        
-        
-        
-        
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py
deleted file mode 100644
index a794f46..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py
+++ /dev/null
@@ -1,236 +0,0 @@
-from manimlib.imports import *
-
-class SurfacesAnimation(ThreeDScene):
-
-    CONFIG = {
-        "axes_config": {
-            "x_min": 0,
-            "x_max": 8,
-            "y_min": 0,
-            "y_max": 8,
-            "z_min": 0,
-            "z_max": 6,
-            "a":1 ,"b": 6, "c":2 , "d":6,
-            "axes_shift":-3*OUT + 5*LEFT,
-            "x_axis_config": {
-                "tick_frequency": 1,
-               # "include_tip": False,
-            },
-            "y_axis_config": {
-                "tick_frequency": 1,
-             #   "include_tip": False,
-            },
-            "z_axis_config": {
-                "tick_frequency": 1,
-             #   "include_tip": False,
-            },
-            "num_axis_pieces": 1,
-        },
-        "default_graph_style": {
-            "stroke_width": 2,
-            "stroke_color": WHITE,
-        },
-        "default_surface_config": {
-            "fill_opacity": 0.5,
-            "checkerboard_colors": [LIGHT_GREY],
-            "stroke_width": 0.5,
-            "stroke_color": WHITE,
-            "stroke_opacity": 0.5,
-        },
-    "Func": lambda x,y: 2+y/4+np.sin(x)
-    }
-
-
-    def construct(self):
-
-        self.setup_axes()
-        self.set_camera_orientation(distance=35,
-            phi=80 * DEGREES,
-            theta=-80 * DEGREES,
-        )
-        
-        fn_text=TextMobject("$z=f(x,y)$").set_color(PINK)
-        self.add_fixed_in_frame_mobjects(fn_text) 
-        fn_text.to_edge(TOP,buff=MED_SMALL_BUFF)
-        
-        R=TextMobject("R").set_color(BLACK).scale(3)
-        R.move_to(self.axes.input_plane,IN)
-        self.add(R)
-        
-        #get the surface
-        surface= self.get_surface(
-            self.axes, lambda x , y: 
-            self.Func(x,y)
-        )
-        surface.set_style(
-            fill_opacity=0.8,
-            fill_color=PINK,
-            stroke_width=0.8,
-            stroke_color=WHITE,
-        )
-        
-        
-        self.begin_ambient_camera_rotation(rate=0.07)
-        self.play(Write(surface))
-      #  self.play(LaggedStart(ShowCreation(surface)))
-        
-        self.get_lines()
-   #     self.play(FadeIn(self.axes.input_plane))
-        self.wait(3)
-      
-    def get_surface(self,axes, func, **kwargs):
-        config = {
-            "u_min": axes.a,
-            "u_max": axes.b,
-            "v_min": axes.c,
-            "v_max": axes.d,
-            "resolution": (
-                (axes.y_max - axes.y_min) // axes.y_axis.tick_frequency,
-                (axes.x_max - axes.x_min) // axes.x_axis.tick_frequency,
-            ),
-        }
-        
-        config.update(self.default_surface_config)
-        config.update(kwargs)
-        return ParametricSurface(
-            lambda  x,y : axes.c2p(
-                x, y, func(x, y)
-            ),
-            **config
-        )
-        
-    def get_lines(self):
-        axes = self.axes
-        labels=[axes.x_axis.n2p(axes.a), axes.x_axis.n2p(axes.b), axes.y_axis.n2p(axes.c),       
-            axes.y_axis.n2p(axes.d)]
-        
-        
-        surface_corners=[]
-        for x,y,z in self.region_corners:
-            surface_corners.append([x,y,self.Func(x,y)])
-            
-        lines=VGroup()
-        for start , end in zip(surface_corners,
-        self.region_corners):
-            lines.add(self.draw_lines(start,end,"RED"))
-            
-        for start , end in zip(labels,
-        self.region_corners):
-         #   lines.add(self.draw_lines(start,end,"BLUE"))
-         #   print (start,end)
-         pass
-        self.play(ShowCreation(lines))
-        
-             
-    def draw_lines(self,start,end,color):
-        start=self.axes.c2p(*start)
-        end=self.axes.c2p(*end)
-        line=DashedLine(start,end,color=color)
-        
-        return line
-            
-    def get_three_d_axes(self, include_labels=True, include_numbers=True, **kwargs):
-        config = dict(self.axes_config)
-        config.update(kwargs)
-        axes = ThreeDAxes(**config)
-        axes.set_stroke(width=2)
-
-        if include_numbers:
-            self.add_axes_numbers(axes)
-
-        if include_labels:
-            self.add_axes_labels(axes)
-
-        # Adjust axis orientation
-        axes.x_axis.rotate(
-            90 * DEGREES, RIGHT,
-            about_point=axes.c2p(0, 0, 0),
-        )
-        axes.y_axis.rotate(
-            90 * DEGREES, UP,
-            about_point=axes.c2p(0, 0, 0),
-        )
-
-        # Add xy-plane
-        input_plane = self.get_surface(
-            axes, lambda x, t: 0
-        )
-        input_plane.set_style(
-            fill_opacity=0.5,
-            fill_color=TEAL,
-            stroke_width=0,
-            stroke_color=WHITE,
-        )
-
-        axes.input_plane = input_plane
-
-        self.region_corners=[ 
-        input_plane.get_corner(pos) for pos in (DL,DR,UR,UL)]
-        
-        return axes
-        
-        
-    def setup_axes(self):
-        axes = self.get_three_d_axes(include_labels=True)
-        axes.add(axes.input_plane)
-        axes.scale(1)
-     #   axes.center()
-        axes.shift(axes.axes_shift)
-
-        self.add(axes)
-        self.axes = axes
-        
-    def add_axes_numbers(self, axes):
-        x_axis = axes.x_axis
-        y_axis = axes.y_axis
-        tex_vals_x = [
-            ("a", axes.a),
-            ("b", axes.b),
-        ]
-        tex_vals_y=[
-            ("c", axes.c),
-            ("d", axes.d)
-        ]
-        x_labels = VGroup()
-        y_labels = VGroup()
-        for tex, val in tex_vals_x:
-            label = TexMobject(tex)
-            label.scale(1)
-            label.next_to(x_axis.n2p(val), DOWN)
-            x_labels.add(label)
-        x_axis.add(x_labels)
-        x_axis.numbers = x_labels
-
-        for tex, val in tex_vals_y:
-            label = TexMobject(tex)
-            label.scale(1.5)
-            label.next_to(y_axis.n2p(val), LEFT)
-            label.rotate(90 * DEGREES)
-            y_labels.add(label)
-            
-        y_axis.add(y_labels)
-        y_axis.numbers = y_labels
-        
-        return axes
-    
-    def add_axes_labels(self, axes):
-        x_label = TexMobject("x")
-        x_label.next_to(axes.x_axis.get_end(), RIGHT)
-        axes.x_axis.label = x_label
-
-        y_label = TextMobject("y")
-        y_label.rotate(90 * DEGREES, OUT)
-        y_label.next_to(axes.y_axis.get_end(), UP)
-        axes.y_axis.label = y_label
-
-        z_label = TextMobject("z")
-        z_label.rotate(90 * DEGREES, RIGHT)
-        z_label.next_to(axes.z_axis.get_zenith(), RIGHT)
-        axes.z_axis.label = z_label
-        for axis in axes:
-            axis.add(axis.label)
-        return axes    
-        
-    
-
-#uploaded by Somnath Pandit.FSF2020_Double_Integral
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py
deleted file mode 100644
index 4894ebf..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py
+++ /dev/null
@@ -1,113 +0,0 @@
-from manimlib.imports import *
-
-class YlimitXdependent(GraphScene):
-    CONFIG = {
-        "x_min" : 0,
-        "x_max" : 1,
-        "y_min" : 0,
-        "y_max" : 2, 
-        "x_tick_frequency" : 1,
-        "y_tick_frequency" : 1,
-        "x_labeled_nums": list(np.arange(0,2)),
-        "y_labeled_nums": list(np.arange(0 ,3)),
-        "x_axis_width": 3.5,
-        "y_axis_height": 6,
-        "graph_origin": ORIGIN+2.5*LEFT+3*DOWN,    
-    }
-
-    def construct(self):
-        X = RIGHT*self.x_axis_width/(self.x_max- self.x_min)
-        Y = UP*self.y_axis_height/(self.y_max- self.y_min)
-        
-        self.setup_axes(animate=False)
-        
-        line= self.get_graph(
-            lambda x : 2-2*x ,
-            x_min = 0,
-            x_max = 1,
-            color = RED)
-        line_eqn=TextMobject("2x+y=2").move_to(self.graph_origin+.8*X+Y).rotate(np.arctan(-2))
-        self.line=line
-        
-        caption=TextMobject(r"See the value of $y$ \\ is changing with $x$").move_to(self.graph_origin+1.2*X+1.8*Y)
-        self.play(ShowCreation(line),Write(line_eqn))
-   #     self.show_area()
-        self.show_rects()
-        self.play(Write(caption))
-        self.show_y_values_at_different_x()
-
-        self.wait(.5)
-        
-  ###################         
-    def show_area(self):
-        area = self.get_riemann_rectangles(
-            self.line, 
-            x_min = 0,
-            x_max = 1,
-            dx =.0001,
-            start_color = BLUE,
-            end_color = BLUE,
-            fill_opacity = 1,
-            stroke_width = 0,
-        )
-        self.play(ShowCreation(area))
-  #      self.transform_between_riemann_rects(self.rects,area)
-        self.area = area
-                
-    def show_rects(self):
-        rects = self.get_riemann_rectangles(
-            self.line, 
-            x_min = 0,
-            x_max = 1,
-            dx =.01,
-            start_color = BLUE,
-            end_color = BLUE,
-            fill_opacity =1,
-            stroke_width = 0,
-        )
-     #   self.play(ShowCreation(rects))
-     #   self.transform_between_riemann_rects(self.area,rects)
-        self.rects=rects 
-        
-    def show_y_values_at_different_x(self):
-        rects=self.rects
-        rect = rects[len(rects)*1//10]
-        dx_brace = Brace(rect, DOWN, buff = 0)
-        dx_label = dx_brace.get_text("$dx$", buff = SMALL_BUFF)
-        dx_brace_group = VGroup(dx_brace,dx_label)
-        rp=int(len(rects)/10)
-        rects_subset = self.rects[3*rp:5*rp]
-
-        last_rect = None
-        for rect in rects_subset:
-            brace = Brace(rect, LEFT, buff = 0)
-            y = TexMobject("y=2-2x")#.rotate(PI/2)
-            y.next_to(brace, LEFT, SMALL_BUFF)
-            anims = [
-                rect.set_fill, BLUE_E, 1,
-                dx_brace_group.next_to, rect, DOWN, SMALL_BUFF
-            ]
-            if last_rect is not None:
-                anims += [
-                    last_rect.set_fill, None, 0,
-       #             last_rect.set_fill, BLUE, .75,
-                    ReplacementTransform(last_brace, brace),
-                    ReplacementTransform(last_y, y),
-                ]
-            else:
-                anims += [
-                    GrowFromCenter(brace),
-                    Write(y)
-                ]
-            self.play(*anims)
-           # self.wait(.2)
-
-            last_rect = rect
-            last_brace = brace
-            last_y = y
-
-        y = last_y
-        y_brace = last_brace
-        
-          
-#uploaded by Somnath Pandit.FSF2020_Double_Integral