1 files changed, 148 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file1_multivar_func_examples.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file1_multivar_func_examples.py
new file mode 100644
index 0000000..c15cdfb
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file1_multivar_func_examples.py
@@ -0,0 +1,148 @@
+from manimlib.imports import *
+
+class Examples1(GraphScene):
+    def construct(self):
+       
+        rectangle = Rectangle(height = 3, width = 4, color = GREEN)
+        rectangle_area_func = TexMobject("Area", "=", "f(", "Length", ",", "Breadth", ")").scale(0.6)
+        rectangle_area_func[0].set_color(RED_C)
+        rectangle_area_func[2].set_color(ORANGE)
+        rectangle_area_func[3].set_color(YELLOW_C)
+        rectangle_area_func[5].set_color(BLUE_C)
+        rectangle_area_func[6].set_color(ORANGE)
+
+
+        rectangle_area = TexMobject("Area", "=", "Length", "\\times", "Breadth").scale(0.6)
+        rectangle_area[0].set_color(RED_C)
+        rectangle_area[2].set_color(YELLOW_C)
+        rectangle_area[4].set_color(BLUE_C)
+
+        
+        triangle = Polygon(np.array([-3,-1.5,0]), np.array([2,-1.5,0]), np.array([2,1.5,0]), np.array([-3,-1.5,0]), color = PURPLE)
+
+        triangle_area_func = TexMobject("Area", "=", "f(", "Base", ",", "Height", ")").scale(0.6).move_to(1*DOWN)
+        triangle_area_func[0].set_color(RED_C)
+        triangle_area_func[2].set_color(ORANGE)
+        triangle_area_func[3].set_color(YELLOW_C)
+        triangle_area_func[5].set_color(BLUE_C)
+        triangle_area_func[6].set_color(ORANGE)
+
+        triangle_area = TexMobject("Area", "=", "\\frac{1}{2}", "\\times", "Base", "\\times", "Height").scale(0.6).move_to(1*DOWN)
+        triangle_area[0].set_color(RED_C)
+        triangle_area[2].set_color(GREEN_C)
+        triangle_area[4].set_color(YELLOW_C)
+        triangle_area[6].set_color(BLUE_C)
+
+
+
+        braces_rect1 = Brace(rectangle, LEFT)
+        eq_text1 = braces_rect1.get_text("Length").set_color(YELLOW_C)
+        braces_rect2 = Brace(rectangle, UP)
+        eq_text2 = braces_rect2.get_text("Breadth").set_color(BLUE_C)
+        
+    
+        braces_triangle_height = Brace(triangle, RIGHT)
+        braces_triangle_height_text = braces_triangle_height.get_text("Height").set_color(BLUE_C)
+
+        braces_triangle_base = Brace(triangle, DOWN)
+        braces_triangle_base_text = braces_triangle_base.get_text("Base").set_color(YELLOW_C)
+
+
+        self.play(ShowCreation(rectangle))
+        self.wait(1)
+        self.play(GrowFromCenter(braces_rect1),Write(eq_text1),GrowFromCenter(braces_rect2),Write(eq_text2))
+        self.wait(1)
+        self.play(Write(rectangle_area_func))
+        self.wait(1)
+        self.play(Transform(rectangle_area_func, rectangle_area))
+        self.wait(1)
+        self.play(FadeOut(braces_rect1),FadeOut(eq_text1),FadeOut(braces_rect2),FadeOut(eq_text2),FadeOut(rectangle_area_func))
+
+
+        self.play(Transform(rectangle, triangle))
+        self.wait(1)
+        self.play(GrowFromCenter(braces_triangle_height),Write(braces_triangle_height_text))
+        self.wait(1)
+        self.play(GrowFromCenter(braces_triangle_base),Write(braces_triangle_base_text))
+        self.wait(1)
+        self.play(Write(triangle_area_func))
+        self.wait(1)
+        self.play(Transform(triangle_area_func, triangle_area))
+        self.wait(1)
+        self.play(FadeOut(braces_triangle_height),FadeOut(braces_triangle_height_text),FadeOut(braces_triangle_base),FadeOut(braces_triangle_base_text),FadeOut(triangle_area_func))
+        self.wait(1)
+
+
+
+
+class Examples2(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes() 
+        
+        rectangle_x_y_0 = Polygon(np.array([-1,-2,0]),np.array([-1,2,0]),np.array([1,2,0]),np.array([1,-2,0]),np.array([-1,-2,0]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1)
+        rectangle_x_y_3 = Polygon(np.array([-1,-2,3]),np.array([-1,2,3]),np.array([1,2,3]),np.array([1,-2,3]),np.array([-1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1)
+
+        rectangle_y_z_1 = Polygon(np.array([1,-2,3]),np.array([1,2,3]),np.array([1,2,0]),np.array([1,-2,0]),np.array([1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1)
+        rectangle_y_z_minus_1 = Polygon(np.array([-1,-2,3]),np.array([-1,2,3]),np.array([-1,2,0]),np.array([-1,-2,0]),np.array([-1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1)
+
+        rectangle_x_z_2 = Polygon(np.array([1,2,3]),np.array([-1,2,3]),np.array([-1,2,0]),np.array([1,2,0]),np.array([1,2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1)
+        rectangle_x_z_minus_2 = Polygon(np.array([1,-2,3]),np.array([-1,-2,3]),np.array([-1,-2,0]),np.array([1,-2,0]),np.array([1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1)
+
+        box = VGroup(rectangle_x_y_0, rectangle_x_y_3, rectangle_y_z_1, rectangle_y_z_minus_1, rectangle_x_z_2, rectangle_x_z_minus_2)
+
+        braces_rectangle_x_y_0 = Line(np.array([1,2,0]), np.array([1,-2,0]), color = BLUE_C)
+        braces_rectangle_x_y_0_text = TextMobject("Length").set_color(BLUE_C).move_to(np.array([2,-1,0]))
+
+        braces_rectangle_y_z_1 = Line(np.array([1,2,0]), np.array([1,2,3]), color = YELLOW_C)
+        braces_rectangle_y_z_1_text = TextMobject("Height").set_color(YELLOW_C).move_to(np.array([2,3.8,2]))
+
+        braces_rectangle_x_z_2 = Line(np.array([1,2,3]), np.array([-1,2,3]), color = PURPLE)
+        braces_rectangle_x_z_2_text = TextMobject("Breadth").set_color(PURPLE).move_to(np.array([0,3.8,3.3]))
+
+        box_area_func = TexMobject("Area =", "f(", "Length", ",", "Breadth", ",", "Height", ")").move_to(4*LEFT+3.5*UP).scale(0.6)
+        box_area_func[0].set_color(GREEN_C)
+        box_area_func[1].set_color(ORANGE)
+        box_area_func[2].set_color(BLUE_C)
+        box_area_func[4].set_color(PURPLE)
+        box_area_func[6].set_color(YELLOW_C)
+        box_area_func[7].set_color(ORANGE)
+
+        box_area_func_2 = TexMobject("Area =", "Length", "\\times", "Breadth", "\\times", "Height").move_to(4*LEFT+3.5*UP).scale(0.6)
+        box_area_func_2[0].set_color(GREEN_C)
+        box_area_func_2[1].set_color(BLUE_C)
+        box_area_func_2[3].set_color(PURPLE)
+        box_area_func_2[5].set_color(YELLOW_C)
+
+
+        self.set_camera_orientation(phi=70 * DEGREES, theta = 45*DEGREES)
+
+        self.add(axes)
+        
+        axis = TextMobject(r"X",r"Y",r"Z")
+        axis[0].move_to(6*RIGHT)
+        axis[1].move_to(6*UP)
+        axis[2].move_to(3.7*UP)
+
+        self.add_fixed_in_frame_mobjects(axis[2])
+        self.add_fixed_orientation_mobjects(axis[0])
+        self.add_fixed_orientation_mobjects(axis[1])
+
+        self.play(ShowCreation(box), ShowCreation(braces_rectangle_x_y_0))
+        self.add_fixed_orientation_mobjects(braces_rectangle_x_y_0_text)
+        self.play(ShowCreation(braces_rectangle_y_z_1))
+        self.add_fixed_orientation_mobjects(braces_rectangle_y_z_1_text)
+        self.play(ShowCreation(braces_rectangle_x_z_2))
+        self.add_fixed_orientation_mobjects(braces_rectangle_x_z_2_text)
+        self.wait(2)
+
+        self.move_camera(phi=60* DEGREES,theta=80*DEGREES)
+        self.add_fixed_in_frame_mobjects(box_area_func)
+        self.play(Write(box_area_func))
+        self.wait()
+
+        
+        self.play(ReplacementTransform(box_area_func,box_area_func_2))
+        self.add_fixed_in_frame_mobjects(box_area_func_2)
+        
+        
+        self.wait(3)        
+\ No newline at end of file