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Final touches to eoc5 before publishing to Patrons

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Grant Sanderson
2017-03-14 18:20:49 -07:00
parent 315886de5b
commit c8bb0e8e86
1 changed files with 33 additions and 15 deletions
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48
eoc/chapter5.py
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@ -612,22 +612,20 @@ class RelatedRatesExample(ThreeDScene):
"wall_center" : 1.5*LEFT+0.5*UP, "wall_center" : 1.5*LEFT+0.5*UP,
} }
def construct(self): def construct(self):
self.skip_animations = True
self.introduce_ladder() self.introduce_ladder()
self.write_related_rates() self.write_related_rates()
self.measure_ladder() self.measure_ladder()
self.slide_ladder() self.slide_ladder()
self.skip_animations = False
self.ponder_question() self.ponder_question()
# self.write_equation() self.write_equation()
# self.isolate_x_of_t() self.isolate_x_of_t()
# self.discuss_lhs_as_function() self.discuss_lhs_as_function()
# self.let_dt_pass() self.let_dt_pass()
# self.take_derivative_of_rhs() self.take_derivative_of_rhs()
# self.take_derivative_of_lhs() self.take_derivative_of_lhs()
# self.bring_back_velocity_arrows() self.bring_back_velocity_arrows()
# self.replace_terms_in_final_form() self.replace_terms_in_final_form()
# self.write_final_solution() self.write_final_solution()
def introduce_ladder(self): def introduce_ladder(self):
ladder = Ladder(height = self.get_ladder_length()) ladder = Ladder(height = self.get_ladder_length())
@ -767,7 +765,6 @@ class RelatedRatesExample(ThreeDScene):
randy, randy.bubble, randy.bubble.content randy, randy.bubble, randy.bubble.content
])) ]))
def write_equation(self): def write_equation(self):
self.x_and_y_labels = self.get_x_and_y_labels() self.x_and_y_labels = self.get_x_and_y_labels()
x_label, y_label = self.x_and_y_labels x_label, y_label = self.x_and_y_labels
@ -1090,7 +1087,7 @@ class RelatedRatesExample(ThreeDScene):
new_lhs_derivative = TexMobject( new_lhs_derivative = TexMobject(
"2", "(%d)"%int(self.start_x), "\\frac{dx}{dt}", "+", "2", "(%d)"%int(self.start_x), "\\frac{dx}{dt}", "+",
"2", "(%d)"%int(self.start_y), "(1)", "2", "(%d)"%int(self.start_y), "(-1)",
"= 0" "= 0"
) )
new_lhs_derivative[1].highlight(GREEN) new_lhs_derivative[1].highlight(GREEN)
@ -1123,7 +1120,7 @@ class RelatedRatesExample(ThreeDScene):
def write_final_solution(self): def write_final_solution(self):
solution = TexMobject( solution = TexMobject(
"\\frac{dx}{dt} = \\frac{-4}{3}" "\\frac{dx}{dt} = \\frac{4}{3}"
) )
for i in 0, 1, -1: for i in 0, 1, -1:
solution[i].highlight(GREEN) solution[i].highlight(GREEN)
@ -1136,7 +1133,7 @@ class RelatedRatesExample(ThreeDScene):
box = Rectangle(color = YELLOW) box = Rectangle(color = YELLOW)
box.replace(solution) box.replace(solution)
box.scale_in_place(1.3) box.scale_in_place(1.5)
self.play(Write(solution)) self.play(Write(solution))
self.dither() self.dither()
@ -1844,6 +1841,7 @@ class TryOtherExamples(TeacherStudentsScene):
aligned_edge = RIGHT aligned_edge = RIGHT
) )
self.teacher_says( self.teacher_says(
"""Nothing special """Nothing special
about $x^2 + y^2 = 25$""" about $x^2 + y^2 = 25$"""
@ -2264,6 +2262,9 @@ class DerivativeOfNaturalLog(ZoomedScene):
"example_color" : MAROON_B, "example_color" : MAROON_B,
} }
def construct(self): def construct(self):
should_skip_animations = self.skip_animations
self.skip_animations = True
self.add_plane() self.add_plane()
self.draw_graph() self.draw_graph()
self.describe_as_implicit_curve() self.describe_as_implicit_curve()
@ -2273,6 +2274,7 @@ class DerivativeOfNaturalLog(ZoomedScene):
self.show_tiny_nudge() self.show_tiny_nudge()
self.note_derivatives() self.note_derivatives()
self.solve_for_dy_dx() self.solve_for_dy_dx()
self.skip_animations = should_skip_animations
self.show_slope_above_x() self.show_slope_above_x()
def add_plane(self): def add_plane(self):
@ -2556,6 +2558,13 @@ class DerivativeOfNaturalLog(ZoomedScene):
line = self.tangent_line line = self.tangent_line
start_x = line.get_center()[0] start_x = line.get_center()[0]
target_x = 0.2 target_x = 0.2
graph = FunctionGraph(
lambda x : 1./x,
x_min = 0.1,
x_max = SPACE_WIDTH,
num_steps = 100,
color = PINK,
)
def update_line(line, alpha): def update_line(line, alpha):
x = interpolate(start_x, target_x, alpha) x = interpolate(start_x, target_x, alpha)
@ -2570,6 +2579,15 @@ class DerivativeOfNaturalLog(ZoomedScene):
run_time = 6 run_time = 6
)) ))
self.dither() self.dither()
self.play(ShowCreation(graph, run_time = 3))
self.dither()
self.play(UpdateFromAlphaFunc(
line, update_line,
rate_func = there_and_back,
run_time = 6
))
self.dither()
class FinalWords(TeacherStudentsScene): class FinalWords(TeacherStudentsScene):
def construct(self): def construct(self):