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Precalculus

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298

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Course content

298 Lessons

Complex numbers

Intro to the imaginary numbers
Powers of the imaginary unit
Simplifying roots of negative numbers
i as the principal root of -1
What are the imaginary numbers?
What are the complex numbers?
Intro to complex numbers
Classifying complex numbers
The complex plane
Plotting numbers on the complex plane
Adding and subtracting complex numbers
Adding complex numbers
Subtracting complex numbers
Distance and midpoint of complex numbers
Distance & midpoint of complex numbers
Multiplying complex numbers
Multiplying complex numbers
Complex conjugates and dividing complex numbers
Intro to complex number conjugates
Complex number conjugates
Dividing complex numbers
Identities with complex numbers
Complex numbers & sum of squares factorization
Factoring sum of squares
Absolute value and angle of complex numbers
Absolute value of complex numbers
Absolute value & angle of complex numbers
Polar form of complex numbers
Polar & rectangular forms of complex numbers
Multiplying and dividing complex numbers in polar form
Dividing complex numbers: polar & exponential form
Powers of complex numbers
Complex number equations: x³=1

Polynomials

Composite functions

Trigonometry

Vectors

Matrices

Series

Conic sections

Probability and combinatorics

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