Year 12
Mathematics Extension 2
Complex Numbers
1A Arithmetic of complex numbers1B Solving quadratics1C Argand diagram1D Mod-arg form1E Geometrical representation1F Locus complex nos 11G Locus-complex-nos-21H Polynomials & Complex Numbers
Year 12 Mathematics Ext 2 (Cambridge) Complex Numbers
Year 12 Ext 2 - Complex Numbers.pdf3A De Moivre’s Theorem3B Complex Numbers & Trig Identities3C nth Roots Of Unity3D Euler’s Formula3E Applications of Euler’s Formula
Year 12 Mathematics Ext 2 (Cambridge) Ch 3 - Complex Numbers II
Online activities from NRICH
Vanishing roots: https://nrich.maths.org/13167Opening the Door: https://nrich.maths.org/13129Strolling Along: https://nrich.maths.org/13131The Acceptance of Complex Numbers: https://dmoverdt.wordpress.com/2015/03/06/the-acceptance-of-complex-numbers/Online quizzes and worksheets
http://www.softschools.com/quizzes/algebra/adding_complex_numbers/quiz5577.htmlhttp://www.mathwarehouse.com/sheets/algebra-2/complex-numbers/add-subtract-complex-numbers-worksheet.phpSlide shows
A simple method for finding the square root of a complex number: https://www.researchgate.net/publication/231648561_A_simple_method_for_finding_the_square_root_of_a_complex_numberMultiplication of complex numbers: https://www.geogebra.org/m/Pn6w48nOInteractive widgets
Structure of a complex number: http://www.wolframalpha.com/widgets/view.jsp?id=d7aab42e6b85c49c0f1d3a115e939c74Videos
Taylor Series Essence of Calculus: https://www.youtube.com/watch?v=3d6DsjIBzJ4Jigsaw-making software: http://www.mmlsoft.com/index.php/products/tarsia