# Learning Outcomes

## department of mathematics

The Department of Mathematics is engaged in an ongoing effort to assess our programs. We have organized this effort around several learning goals. We measure student outcomes in these areas annually, and we use that information to improve the structure and content of our major, and of our doctoral program.

The learning outcomes to be attained for undergraduates are:

- Students will perform computations and solve problems in calculus and linear algebra.
- Students will effectively use mathematical language and notation.
- Students will demonstrate the ability to reason mathematically and to write clear and concise proofs.
- Students will demonstrate knowledge of the key concepts and theorems of abstract algebra and of real analysis.

These goals focus on the core mathematics that all BC mathematics majors learn. Naturally, we hope that many of our majors will not only meet them, but go beyond them, increasing the depth and breadth of their mathematical knowledge in a way that reflects their particular interests in mathematics (whether theoretical, applied, computational, statistical, or educational).

The learning outcomes to be attained for graduate students are:

- Students will have broad knowledge of the major areas of modern mathematics (algebra, analysis, and geometry) and detailed command of advanced topics in at least one of these areas.
- Students will be able to do original research in their area of study.
- Students will teach effectively courses in mathematics at the college level.