Quadratics, polynomials, partial fractions, logarithms, binomial th., combinatorics, number theory, induction, arith.-geom. series, axioms of the reals, $2d$, $3d$ Coord. and vector geom., functions, trigonometry, sequences, convergence, limits, continuity, Differential and Integral Calculus, Complex numbers, vectors, groups, rings, fields, Statistics, Probability, series expansions and ratios of convergence, Differential Eq., arithmetic methods and approx., Euclidean geometry, logic, .... etc
Monday, December 16, 2013
Question of the week #3
This week's Question comes from complex numbers: Given a complex number $z$, determine its locus, given that $w=\frac{i}{z^{2}+1}$ belongs on the real axis (i.e. $w$ is a real number)
You can check out the pdf version here
Waiting till next week, for your ideas and thoughts.
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