Chapter 1 - Complex numbers
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| show | i = sqrt(-1)
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| show | non-imaginary numbers
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| show | numbers defined only in terms of i
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| show | a number that has real and imaginary parts
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| general form of a complex number | show 🗑
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| addition of complex numbers | show 🗑
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| show | z1z2 = (a + bi)(c + di) = ac + (ad + bc)i - bd
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| show | a^2 + b^2 = (a + bi)(a - bi)
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| show | has period 4, i -> -1 -> -i -> 1
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| show | if z = a + bi, z* = z - bi
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| complex division | show 🗑
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| show | let z = a + bi, expand as necessary. Form 2 equations from the real and imaginary parts and solve simutaniously
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| quadratic in terms of its roots | show 🗑
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| sum of the roots of a quadratic | show 🗑
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| show | AlphaBeta = c/a
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| show | complex roots of a polynomial with real co-effecients always come in conjugate pairs
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| General roots | show 🗑
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
That cool NAMe
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