Complex Numbers 2

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Mark Hodds

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Mark Hodds 8 years, 5 months ago

Created this as a copy of Complex number arithmetic.

Name	Status	Author	Last Modified
Complex number arithmetic	Ready to use	Dann Mallet	13/04/2017 16:35
Complex Numbers 2	draft	Mark Hodds	13/11/2016 19:40
Complex number arithmetic	draft	Denis Flynn	24/01/2017 12:19
Complex number arithmetic: add and subtract	Ready to use	Martin Jones	03/12/2024 14:52
Complex number arithmetic: multiply and divide	draft	Martin Jones	30/11/2022 14:19
Aritmetica dei numeri complessi	draft	Michele Passante	25/04/2017 14:50
Inbbavathie's copy of Complex number arithmetic: multiply and divide	draft	Inbbavathie Ravi	12/07/2017 13:51
Inbbavathie's copy of Complex number arithmetic	draft	Inbbavathie Ravi	12/07/2017 16:12
Matthew's copy of Complex number arithmetic	draft	Matthew Blacklock	01/05/2018 16:44
Harry's copy of Matthew's copy of Complex number arithmetic	draft	Harry Flynn	24/05/2018 12:36
Maria's copy of Complex number arithmetic: multiply and divide	draft	Maria Aneiros	25/05/2019 08:20
Maria's copy of Katy's copy of Complex number arithmetic: add and subtract	draft	Maria Aneiros	25/05/2019 08:32

There are 24 other versions that do you not have access to.

Question statement

Given the complex numbers

$z_1=\var{z1},\quad z_2=\var{z2}, \quad z_3=\var{z3}, \quad z_4=\var{z4},$

calculate the following (write your answers in Cartesian/rectangular form).

Give any introductory information the student needs.

			Name	Type	Generated Value

z1	number	-7 - 4i
z2	number	-1 - 4i
z3	number	7 + 7i
z4	number	-8 + 7i
z4bar	number	-8 - 7i
z3z4bar	number	-7 - 105i
modz4sq	number	113
re_z3onz4	number	-0.0619469027
im_z3onz4	number	-0.9292035398
z1plusz2	number	-8 - 8i
z1minusz2	number	-6
z1z3	number	-21 - 77i

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-10..10)+random(-10..10)i

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `number`

-7 - 4i

→ Used by:

z1minusz2
z1plusz2
z1z3

Statement
Advice

Advice

$z_1+z_2=(\var{z1})+(\var{z2})=\simplify{{z1}+{z2}}$

$z_1-z_2=(\var{z1})-(\var{z2})=\simplify{{z1}-{z2}}$

$z_1z_3=(\var{z1})(\var{z3})=\var{z1z3}$

$\frac{z_3}{z_4}=\frac{\var{z3}}{\var{z4}}=\frac{(\var{z3})(\var{z4bar})}{(\var{z4})(\var{z4bar})}=\simplify{{z3z4bar}/{modz4sq}}\approx \var{re_z3onz4}+\var{im_z3onz4}$

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This question is used in the following exam:

101MP 2019 - Complex Numbers Week 8 by Mark Hodds in 101MP 2018.

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Taxonomy: mathcentre

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Mark Hodds 8 years, 5 months ago

Error in variable testing condition

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Generated value: `number`

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Mathematical expression

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Complex Numbers 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Mark Hodds 8 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `number`