Numerical Analysis Fundamentals

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Questions and Answers

What is the main focus of numerical analysis?

  • Symbolic manipulations for discrete mathematics problems
  • Exact solutions for mathematical analysis problems
  • Approximate solutions for discrete mathematics problems
  • Numerical approximation using algorithms for problems of mathematical analysis (correct)

Where does numerical analysis find applications?

  • Mainly in discrete mathematics and computer science
  • Primarily in the field of medicine
  • All fields of engineering, physical sciences, life and social sciences, medicine, business, and the arts (correct)
  • Only in physical sciences and engineering

What historical methods did numerical methods rely on before modern computers?

  • Hand interpolation formulas using data from large printed tables (correct)
  • Symbolic manipulations for discrete mathematics problems
  • Exact solutions for mathematical analysis problems
  • Approximate solutions for discrete mathematics problems

Which area of mathematics does numerical linear algebra primarily contribute to?

<p>Data analysis (A)</p>
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What has enabled the use of more complex numerical analysis in science and engineering in the 21st century?

<p>Growth in computing power such as GPU's (B)</p>
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