Maths Support: Complex numbers

Includes: using the number i, defined as i2=−1 using the language of complex numbers: real part, imaginary part, complex conjugate solving any quadratic equation with real coefficients that the complex roots of a quadratic equation are a pair of complex conjugates adding, subtracting, multiplying and dividing complex numbers. (Integral for HE)
You will need to register for an Integral for HE account to access this resource.

Introduction to the imaginary unit I, complex numbers, the complex plane, adding, subtracting, and multiplying complex numbers, quadratic equations with complex solutions (Khan Academy)

Representing and interpreting sets of complex numbers as simple loci on an Argand diagram, including circles of the form, half lines of the form, lines of the form, regions defined by inequalities based on the above, and intersections and unions of these. (Integral for HE)
You will need to register for an Integral for HE account to access this resource.

Representing and interpreting complex numbers and their conjugates on an Argand diagram, representing the sum and difference of two complex numbers on an Argand diagram. (Integral for HE)
You will need to register for an Integral for HE account to access this resource.

Topics covered include: the complex plane, distance and midpoint of complex numbers, complex conjugates and dividing complex numbers, identities with complex numbers, modulus (absolute value) and argument (angle) of complex numbers, polar form of complex numbers, graphically multiplying complex numbers, multiplying and dividing complex numbers in polar form, the fundamental theorem of algebra. (Khan Academy)

Introduction to using de Moivre's theorem to find powers of complex numbers, finding the nth roots of a complex number, the geometrical interpretation of roots of complex numbers. (Integral for HE)
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The meaning of the modulus and the argument of a complex number using radians in the context of complex numbers, representing a complex number in modulus-argument form and how to convert between the forms, multiplying and dividing complex numbers in modulus-argument form, representing the product and quotient of two complex numbers on an Argand diagram. (Integral for HE)
You will need to register for an Integral for HE account to access this resource.

Introduction to sing the exponential form of a complex number, using complex numbers to find trigonometric identities, and using complex numbers to find the sums of series where appropriate. (Integral for HE)
You will need to register for an Integral for HE account to access this resource.