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====== Math 753/853 final exam topics ======

Wed, Dec 14, 2016 10:30am-12:30pm Kingsbury N343 

  * Floating point numbers
     * binary representation
     * how #s of bits in mantissa and exponent lead to # digits in same
     * floating point arithmetic: expected accuracy of arithmetic operations
  * Solving 1d nonlinear equations
     * bisection: the algorithm, the required conditions, the convergence rate
     * Newton: the algorithm, the required conditions, the convergence rate
     * when to use bisection, when to use Newton
  * Gaussian elimination / LU decomposition
     * the LU algorithm
     * backsubstitution, forward substitution
     * using LU to solve Ax=b
     * pivoting --what is it, why is it a practical necessity?
     * what form does the LU decompostion take with pivoting? How do you use this form to solve Ax=b?

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