Upper division undergraduate mathematics learning recommendations

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This page contains some learning recommendations for people undertaking undergraduate studies in mathematics. This includes:

  • People who are considering going on to graduate studies in mathematics (with the possible intention of continuing into academia)
  • People who intend to do graduate work and research in a natural or social science subject that uses mathematics heavily, and may be doing a double major in mathematics and that subject, or a minor in mathematics. For instance, many leading economists did their undergraduate studies in mathematics.
  • People who intend to go into a quantitative field like computer programming, finance, or actuarial sciences, for which a mathematics degree is a logical starting point.

The focus of our recommendations differs in the various cases.