Michael Proudman

Polar form of a complex number.

Practice to decide which quadrant a complex number lies in.

Complex number multiplication & division

modulus & argument of a complex number

Calculating the square root of a complex number using De Moivre.

Calculating complex numbers raised to an natural number exponent

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.