gibson:teaching:fall-2016:math753:exam1topics
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====== Math 753/853 Exam 1 topics ====== ==== Floating point numbers ==== How do the number of bits dedicated to mantissa and exponents of floating point numbers determine * machine epsilon, * the number of digits of precision, * the smallest and largest numbers representable, and * the size of rounding error for a given number? ==== Solving nonlinear equations ==== Understand * the bisection algorithm * the Newton algorithm * the convergence rates of bisection and Newton algorithms ==== Solving systems of linear equations ====
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