40 slide Powerpoint for Advanced Higher Maths Unit 2: Complex Numbers.
There is a brief revision of the basics of Complex numbers followed by a series of questions.
The 24 questions (many of them multi-part) require the construction of Argand Diagrams, use of the quadratic formula, polynomial long division, and simultaneous equations.
There are fully worked solutions (including diagrams) for complex number topics relating to:
Equating Real and Imaginary Parts;
Finding square, cube, fourth, fifth and sixth roots of complex numbers (including unity) and plotting them on an Argand diagram;
Verifying and finding roots of complex number polynomials;
Expanding and simplifying complex numbers using the Binomial Theorem and De Moivre’s Theorem;
Interpreting geometrically loci in the complex plane;
Conversions between polar and rectangular forms;
Complex Conjugates;
Exponential Form;
Trigonometric identities, substitutions and simplification.
The questions are grouped in approximate order of difficulty and to match the usual order of progress through this topic.
*Animated workings come up line by line on mouse clicks.*
There is a brief revision of the basics of Complex numbers followed by a series of questions.
The 24 questions (many of them multi-part) require the construction of Argand Diagrams, use of the quadratic formula, polynomial long division, and simultaneous equations.
There are fully worked solutions (including diagrams) for complex number topics relating to:
Equating Real and Imaginary Parts;
Finding square, cube, fourth, fifth and sixth roots of complex numbers (including unity) and plotting them on an Argand diagram;
Verifying and finding roots of complex number polynomials;
Expanding and simplifying complex numbers using the Binomial Theorem and De Moivre’s Theorem;
Interpreting geometrically loci in the complex plane;
Conversions between polar and rectangular forms;
Complex Conjugates;
Exponential Form;
Trigonometric identities, substitutions and simplification.
The questions are grouped in approximate order of difficulty and to match the usual order of progress through this topic.
*Animated workings come up line by line on mouse clicks.*
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