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Finished eoc7
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Grant Sanderson
parent
7452486ddf
commit
983e205b3e
2 changed files with 191 additions and 23 deletions
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@ -356,6 +356,9 @@ class Succession(Animation):
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self.last_index = index
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class AnimationGroup(Animation):
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CONFIG = {
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"rate_func" : None
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}
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def __init__(self, *sub_anims, **kwargs):
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digest_config(self, kwargs, locals())
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sync_animation_run_times_and_rate_funcs(*sub_anims, **kwargs)
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@ -363,7 +366,7 @@ class AnimationGroup(Animation):
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everything = Mobject(*[a.mobject for a in sub_anims])
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Animation.__init__(self, everything, **kwargs)
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def update(self, alpha):
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def update_mobject(self, alpha):
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for anim in self.sub_anims:
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anim.update(alpha)
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209
eoc/chapter7.py
209
eoc/chapter7.py
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@ -88,22 +88,21 @@ class ThisVideo(TeacherStudentsScene):
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tex_mob = tex_mobs[index]
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self.play(ApplyWave(
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videos,
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apply_function_kwargs = {"maintain_smoothness" : False}
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direction = DOWN,
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))
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self.play(
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GrowFromCenter(brace),
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Write(tex_mob, run_time = 2)
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)
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self.dither()
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self.play(self.get_teacher().change_mode, "raise_right_hand")
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self.play(
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this_video.highlight, YELLOW,
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GrowFromCenter(this_brace)
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GrowFromCenter(this_brace),
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self.get_teacher().change_mode, "raise_right_hand",
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self.get_teacher().look_at, this_video
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)
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self.play(Write(this_tex))
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self.dither()
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self.play(ShowCreation(lim_to_deriv_arrow))
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self.change_student_modes(*["happy"]*3)
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self.dither(2)
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self.play(self.get_teacher().change_mode, "sassy")
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self.dither(2)
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class LimitJustMeansApproach(PiCreatureScene):
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@ -764,6 +763,30 @@ class OtherViewsOfDx(TeacherStudentsScene):
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)
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self.dither(3)
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class GoalsListed(Scene):
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def construct(self):
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goals = VGroup(*[
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TextMobject("Goal %d: %s"%(d, s))
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for d, s in zip(it.count(1), [
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"Formal definition of a derivative",
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"$(\\epsilon, \\delta)$ definition of limits",
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"L'Hôpital's rule",
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])
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])
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goals.arrange_submobjects(
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DOWN, buff = LARGE_BUFF, aligned_edge = LEFT
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)
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for goal in goals:
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self.play(FadeIn(goal))
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self.dither()
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for i, goal in enumerate(goals):
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anims = [goal.highlight, YELLOW]
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if i > 0:
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anims += [goals[i-1].highlight, WHITE]
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self.play(*anims)
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self.dither()
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class GraphLimitExpression(GraphScene):
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CONFIG = {
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"start_x" : 2,
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@ -821,18 +844,29 @@ class GraphLimitExpression(GraphScene):
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brace = Brace(VGroup(limit, expression.target))
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derivative.next_to(brace, DOWN)
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graph = self.get_graph(self.func, color = BLUE)
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indices = [0, 6, 11, 13]
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for i, j in zip(indices, indices[1:]):
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group = VGroup(*expression[i:j])
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self.play(FadeIn(
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group,
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funcs = [
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lambda h : (2+h)**3,
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lambda h : (2+h)**3 - 2**3,
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self.func
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]
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graph = None
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for i, j, func in zip(indices, indices[1:], funcs):
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anims = [FadeIn(
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VGroup(*expression[i:j]),
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submobject_mode = "lagged_start",
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lag_factor = 1.5
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))
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)]
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new_graph = self.get_graph(func, color = BLUE)
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if graph is None:
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graph = new_graph
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anims.append(FadeIn(graph))
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else:
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anims.append(Transform(graph, new_graph))
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self.play(*anims)
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self.dither()
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self.play(ShowCreation(graph))
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self.dither()
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self.play(
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MoveToTarget(expression),
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@ -1758,6 +1792,7 @@ class TheoryHeavy(TeacherStudentsScene):
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for pi in self.get_pi_creatures()
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]
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)
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student.bubble = None
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part_tex_pairs = [
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("df", "f"),
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("over", "+"),
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@ -2445,7 +2480,7 @@ class DerivativeLimitReciprocity(Scene):
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class GeneralLHoptial(LHopitalExample):
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CONFIG = {
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"f_color" : GREEN,
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"f_color" : BLUE,
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"g_color" : YELLOW,
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"a_value" : 2.5,
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"zoomed_rect_center_coords" : (2.55, 0),
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@ -2792,13 +2827,143 @@ class GeneralLHoptial(LHopitalExample):
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return result
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class CannotUseLHopital(TeacherStudentsScene):
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def construct(self):
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deriv = TexMobject(
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"{d(e^x)", "\\over \\,", "dx}", "(", "x", ")", "=",
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"\\lim", "_{h", "\\to 0}",
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"{e^{", "x", "+", "h}",
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"-", "e^", "x",
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"\\over \\,", "h}"
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)
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deriv.to_edge(UP)
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deriv.highlight_by_tex("x", RED)
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deriv.highlight_by_tex("dx", GREEN)
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deriv.highlight_by_tex("h", GREEN)
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deriv.highlight_by_tex("e^", YELLOW)
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self.play(
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Write(deriv),
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*it.chain(*[
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[pi.change_mode, "pondering", pi.look_at, deriv]
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for pi in self.get_pi_creatures()
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])
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)
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self.dither()
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self.student_says(
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"Use L'Hôpital's rule!",
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target_mode = "hooray"
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)
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self.dither()
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answer = TexMobject(
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"\\text{That requires knowing }",
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"{d(e^x)", "\\over \\,", "dx}"
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)
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answer.highlight_by_tex("e^", YELLOW)
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answer.highlight_by_tex("dx", GREEN)
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self.teacher_says(
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answer,
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bubble_kwargs = {"height" : 2.5},
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target_mode = "hesitant"
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)
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self.change_student_modes(*["confused"]*3)
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self.dither(3)
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class NextVideo(TeacherStudentsScene):
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def construct(self):
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series = VideoSeries()
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series.to_edge(UP)
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next_video = series[7]
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brace = Brace(next_video, DOWN)
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integral = TexMobject("\\int", "f(x)", "dx")
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ftc = TexMobject(
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"F(b)", "-", "F(a)", "=", "\\int_a^b",
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"{dF", "\\over \\,", "dx}", "(x)", "dx"
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)
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for tex_mob in integral, ftc:
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tex_mob.highlight_by_tex("dx", GREEN)
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tex_mob.highlight_by_tex("f", YELLOW)
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tex_mob.highlight_by_tex("F", YELLOW)
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tex_mob.next_to(brace, DOWN)
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self.add(series)
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self.play(
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GrowFromCenter(brace),
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next_video.highlight, YELLOW,
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self.get_teacher().change_mode, "raise_right_hand",
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self.get_teacher().look_at, next_video
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)
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self.play(Write(integral))
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self.dither(2)
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self.play(*[
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ReplacementTransform(
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VGroup(*integral.get_parts_by_tex(p1)),
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VGroup(*ftc.get_parts_by_tex(p2)),
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run_time = 2,
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path_arc = np.pi/2,
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rate_func = squish_rate_func(smooth, alpha, alpha+0.5)
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)
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for alpha, (p1, p2) in zip(np.linspace(0, 0.5, 3), [
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("int", "int"),
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("f", "F"),
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("dx", "dx"),
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])
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]+[
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Write(VGroup(*ftc.get_parts_by_tex(part)))
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for part in "-", "=", "over", "(x)"
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])
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self.change_student_modes(*["pondering"]*3)
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self.dither(3)
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class Chapter7PatreonThanks(PatreonThanks):
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CONFIG = {
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"specific_patrons" : [
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"Ali Yahya",
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"Meshal Alshammari",
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"CrypticSwarm ",
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"Kaustuv DeBiswas",
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"Kathryn Schmiedicke",
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"Nathan Pellegrin",
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"Karan Bhargava",
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"Justin Helps",
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"Ankit Agarwal",
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"Yu Jun",
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"Dave Nicponski",
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"Damion Kistler",
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"Juan Benet",
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"Othman Alikhan",
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"Justin Helps",
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"Markus Persson",
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"Dan Buchoff",
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"Derek Dai",
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"Joseph John Cox",
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"Luc Ritchie",
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"Mustafa Mahdi",
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"Daan Smedinga",
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"Jonathan Eppele",
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"Albert Nguyen",
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"Nils Schneider",
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"Mustafa Mahdi",
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"Mathew Bramson",
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"Guido Gambardella",
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"Jerry Ling",
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"Mark Govea",
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"Vecht",
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"Shimin Kuang",
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"Rish Kundalia",
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"Achille Brighton",
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"Ripta Pasay",
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"Felipe Diniz",
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]
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}
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class Thumbnail(Scene):
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def construct(self):
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lim = TexMobject("\\lim", "_{h", "\\to 0}")
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lim.highlight_by_tex("h", GREEN)
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lim.scale_to_fit_height(5)
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self.add(lim)
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