FP2 Complex Numbers - Revision history

CBI: /* Preparation */

2014-06-12T07:15:53Z

‎Preparation

CBI: /* Preparation */

2014-06-12T06:57:04Z

‎Preparation

IDI: /* Notes */

2014-06-10T13:56:41Z

‎Notes

IDI: /* Notes */

2014-06-10T13:55:10Z

‎Notes

IDI at 13:36, 10 June 2014

2014-06-10T13:36:41Z

IDI: /* Notes */

2014-06-10T13:31:39Z

‎Notes

IDI: Replaced content with "Part of FP2 == Objectives == * Summation of simple finite series using the method of differences. == Preparation == == Supporting activiti..."

2014-06-10T13:30:55Z

Replaced content with "Part of FP2 == Objectives == <onlyinclude> * Summation of simple finite series using the method of differences. </onlyinclude> == Preparation == == Supporting activiti..."

Sam at 12:35, 10 January 2014

2014-01-10T12:35:15Z

Sam at 12:34, 10 January 2014

2014-01-10T12:34:29Z

Sam at 12:33, 10 January 2014

2014-01-10T12:33:53Z

@@ Line 9: / Line 9: @@
 </onlyinclude>
 == Preparation ==
 == Supporting activities ==
 == Consolidation ==

@@ Line 27: / Line 27: @@
 * <math>|z-z_1|=k|z-z_2|</math> is a circle. Convert to Cartesian to find centre and radius
 * <math>arg(z-z_1)=\theta</math> is a half-line, centre <math>z_1</math>, angle <math>\theta</math> to the positive real direction
-* <math>arg(\frac{z-z_1}{z-z_2}=\theta</math> is the circular arc formed by angles <math>\theta</math> subtended by the chord <math>z_1,z_2</math>
+* <math>arg(\frac{z-z_1}{z-z_2})=\theta</math> is the circular arc formed by angles <math>\theta</math> subtended by the chord <math>z_1,z_2</math>

@@ Line 17: / Line 17: @@
 == Assessment ==
 == Notes ==
-* <math>2\cos{\theta}\ident e^{i\theta}+e^{-i\theta} </math>
+These two identities are really useful:
-* <math>2i\sin{\theta}\ident e^{i\theta}-e^{-i\theta} </math>
+* <math>2\cos{n\theta}\equiv z^n + \frac{1}{z^n} </math>

← Older revision		Revision as of 13:31, 10 June 2014
Line 13:		Line 13:
	== Assessment ==		== Assessment ==
	== Notes ==		== Notes ==
−
−
−	~~[[File:COMPLEX_NUMBER_ARGAND_DIAGRAM.pdf]]~~
−
−	~~[[File:Complex_numbers_hw_overview.docx]]~~
−
−	~~[[File:Objectives_Complex_numbers_1_and_2.docx]]~~
−
−	~~[[File:Revision_complex_numbers.docx]]~~

← Older revision		Revision as of 13:30, 10 June 2014
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		+	== Objectives ==
		+	<onlyinclude>
		+	* Summation of simple finite series using the method of differences.
		+	</onlyinclude>
		+	== Preparation ==
		+	== Supporting activities ==
		+	== Consolidation ==
		+	== Homework ==
		+	== Key questions ==
		+	For example
		+	*<math>\sum_{r=1}^{n}\dfrac{1}{r(r+1)}</math>
		+	== Assessment ==
		+	== Notes ==

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−	~~<p><span style="font-size:small">Ian Dickerson, Created with <a href="http://www.geogebra.org/" target="_blank" >GeoGebra</a></span></p>~~
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	[[File:COMPLEX_NUMBER_ARGAND_DIAGRAM.pdf]]		[[File:COMPLEX_NUMBER_ARGAND_DIAGRAM.pdf]]

@@ Line 2: / Line 2: @@
 == Objectives ==
 <onlyinclude>
-* Summation of simple finite series using the method of differences.
+* Euler's relation <math>e^{i\theta}=\cos{\theta}+i\sin{\theta}</math>
 </onlyinclude>
 == Preparation ==
@@ Line 13: / Line 17: @@
 == Assessment ==
 == Notes ==

← Older revision		Revision as of 12:35, 10 January 2014
Line 39:		Line 39:
	[[File:Objectives_Complex_numbers_1_and_2.docx]]		[[File:Objectives_Complex_numbers_1_and_2.docx]]

−	File:Revision_complex_numbers.docx	+	[[File:Revision_complex_numbers.docx]]

← Older revision		Revision as of 12:34, 10 January 2014
Line 38:		Line 38:

	[[File:Objectives_Complex_numbers_1_and_2.docx]]		[[File:Objectives_Complex_numbers_1_and_2.docx]]
		+
		+	File:Revision_complex_numbers.docx

← Older revision		Revision as of 12:33, 10 January 2014
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	[[File:Complex_numbers_hw_overview.docx]]		[[File:Complex_numbers_hw_overview.docx]]
		+
		+	[[File:Objectives_Complex_numbers_1_and_2.docx]]