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Key Stage 5 Further Pure 2 resources

 

Complex numbers

 

De Moivre's Theorem

Complex numbers 1 - (M Ladak) - Modulus and Argument   De Moivre theorem 1 - (M Ladak) ~ Proof and applications
Complex numbers 2 - (M Ladak) - Polar form   De Moivre's Theorem 2 - (M Ladak) ~ Exponential form
Complex numbers 3 - (M Ladak) - Loci   Roots of unity - (M Ladak)
Revision quiz - (M Ladak) ~ (Complex numbers) You need qwizdom or click here for ppt version   nth root of a complex number - (M Ladak)
Complex numbers song   Roots of unity in a complex plane - (M Ladak) ~ Wolfram Mathematica player required

Roots of polynomials

   
Roots of polynomials 1 - (M Ladak) ~ Roots and coefficients    

Summations

   
Summation by differences - (M Ladak)    
Proof by induction series    
Proof by induction divisibility    
Proof by induction ~ (M Ladak) Arrange the proof in the correct order. Click here for solution.    
     
     
 
 

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