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+from auditorium import Show
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+from auditorium.show import Context
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+
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+show = Show('My Show')
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+
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+
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+@show.slide
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+def intro(ctx):
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+ """
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+ ### Mathematical Foundation of Algorithms
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+
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+ Algebra - Complex Numbers
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+ """
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+
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+
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+@show.slide
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+def score(ctx):
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+ """
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+ Each day homework will have a value of 12 points.
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+
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+ - Homework: 12 * 12 = 144 points
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+ - Final Exam: 56 points (Mandatory participation)
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+ - Maximum grade: 180 points
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+ """
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+
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+
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+@show.slide
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+def complex_number(ctx):
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+ """
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+ ## Complex numbers
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+
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+ $$\sqrt{-1} = ?$$
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+ """
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+
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+
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+@complex_number.slide
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+def complex_number_inner_1(ctx):
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+ """
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+ ## Complex numbers
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+
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+ $$i^2 = -1$$
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+ $$i = \sqrt{-1}$$
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+ """
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+
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+
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+@complex_number.slide
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+def complex_number_inner_2(ctx):
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+ """
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+ ## Complex numbers
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+
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+ $$i^2 = -1$$
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+ $$i = \sqrt{-1}$$
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+ """
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+
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+
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+@complex_number.slide
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+def introduction_to_complex(ctx):
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+ """
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+ ## Introduction to complex numbers
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+ """
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+
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+
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+@complex_number.slide
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+def implement_complex_number(ctx):
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+ """
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+ ## Implement complex number
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+ """
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+
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+
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+@show.slide
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+def triangles(ctx):
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+ """
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+ ## Draw triangles
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+ """
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+
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+
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+@show.slide
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+def complex_number_inner(ctx):
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+ """
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+ ## Draw complex fractals
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+ """
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+
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+
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+@ show.slide
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+def homework(ctx):
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+ """
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+ Homework
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+ """
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+
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+
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+@homework.slide
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+def task_1(ctx):
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+ """
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+ `**`
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+
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+ Implement remaining methods of complex number:
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+
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+ - substraction
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+ - multiplication
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+ - division
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+ - exponentiation
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+ """
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+
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+
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+@homework.slide
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+def task_2(ctx):
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+ """
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+ `**`
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+
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+ Given a polynomial of degree 2:
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+
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+ $$a \cdot x^2 + b \cdot x + c$$
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+
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+ Compute the roots of this polynomial
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+ """
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+
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+
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+@homework.slide
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+def task_3(ctx):
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+ """
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+ `***`
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+
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+ Prove that:
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+
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+ $$(\\cos \\theta + \\sin \\theta)^n = \\cos n \\theta + \\sin n \\theta$$
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+ """
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+
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+
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+@homework.slide
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+def task_4(ctx):
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+ """
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+ `**`
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+
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+ 1. Given a complex number in rectangular form, convert to polar form.
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+ 2. Given a complex number in polar form, convert to rectangular form.
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+ """
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+
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+
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+@show.slide
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+def bye(ctx):
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+ """
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+ ### Mathematical Foundation of Algorithms
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+
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+ Algebra - Complex Numbers
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+ """
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