Upper division undergraduate mathematics learning recommendations

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.

Learning recommendations by subject area

If you're interested in a specific part of undergraduate mathematics, you might be interested in the relevant page from among those listed below:

• Undergraduate analysis learning recommendations
• Topology learning recommendations
• Abstract algebra learning recommendations