argument numbers. functions for multiples of and . form Be able to represent a complex number in is the modulus of z. j7 form. Be able to convert between the forms arg z for principal and where r is the modulus and is the of θ argument, where the complex number. . Radian measure. Be able to multiply and divide complex numbers in j8 modulus-argument form. The identities for and may be assumed in the derivation of these results. Ref. Learning outcomes Notes Notation Exclusions Specification CORE PURE: COMPLEX NUMBERS (a) Be able to represent and interpret complex numbers The Argand j9 and their conjugates on an Argand diagram. diagram Be able to represent the sum, difference, product and j10 quotient of two complex numbers on an Argand diagram. Be able to represent and interpret sets of complex Circles of the form . For regions defined j11 for . numbers as loci on an Argand diagram. by inequalities Half lines of the form . learners must state Lines of the form . clearly which Regions defined by inequalities based regions are included on the above e.g. . and whether the Intersections and unions of these. boundaries are
form numbers. functions for multiples of and . j7 Be able to represent a complex number in form. Be able to convert between the forms and where r is the modulus and θ is the argument of the complex number. is the modulus of z. arg z for principal argument, where . Radian measure. j8 Be able to multiply and divide complex numbers in modulus-argument form. The identities for and may be assumed in the derivation of these results. Specification Ref. Learning outcomes Notes Notation Exclusions CORE PURE: COMPLEX NUMBERS (a) The Argand diagram j9 Be able to represent and interpret complex numbers and their conjugates on an Argand diagram. j10 Be able to represent the sum, difference, product and quotient of two complex numbers on an Argand diagram. j11 Be able to represent and interpret sets of complex numbers as loci on an Argand diagram. Circles of the form . Half lines of the form . Lines of the form . Regions defined by inequalities based on the above e.g. . Intersections and unions of these. For regions defined by inequalities learners must state clearly which regions are included and whether the boundaries are for .
466635-core-pure-complex-numbers-delivery-guide-version-1-.docx