# Goals for Majors in Mathematics

It is expected that each mathematics major will be able to:

- Achieve mastery of a rich and diverse set of mathematical ideas.
- Use acquired mathematical skills to undertake independent learning and to be a contributing member of a problem solving team.
- Demonstrate the ability to write mathematical proofs.
- Demonstrate the ability to use and understand multiple representations (including graphical, numerical and analytical) of mathematical concepts.
- Understand and appreciate connections among different areas of mathematics and with other disciplines.
- Communicate effectively, and explain mathematics both verbally and in writing.
- Utilize appropriate technology to develop models for solving problems and analyzing new situations.
- Appreciate the beauty, joy, and challenge in mathematics and experience mathematics as an engaging field with contemporary open questions.
- Think analytically and critically and be able to formulate problems, solve them, and interpret their solutions.

## B.S. Applied Mathematics Program

Students graduating with the B. S. degree in Applied Mathematics should be able to:

- Demonstrate that they can model and solve problems that represent a wide variety of realistic applications.
- Demonstrate competency in a programming language.
- Demonstrate a command of ideas and techniques ranging across single and multivariate calculus, discrete mathematics, linear algebra, probability and statistics, and differential equations.
- Work on an intensive project that requires them to analyze and create mathematical arguments and then to produce a substantial written and oral report.

## B.S. Certification Program

Students graduating with the B. S. degree in Mathematics with Certification should:

- Become qualified for certification by the State of Connecticut for teaching secondary mathematics.
- Demonstrate a breadth and depth in mathematics that would allow them to formulate and respond to questions that promote meaning and understanding of mathematics.
- Develop, implement, and continually assess instructional methods that foster the learning of mathematics.
- Have sufficient knowledge of current high school curricular and pedagogical standards.

## B.A. Mathematics Program

Students graduating with the B.A. degree in Mathematics should be able to:

- Demonstrate knowledge of a variety of mathematical areas and their relationships to each other.
- Work on an intensive project that requires them to analyze and create mathematical arguments and then to produce a substantial written and oral report.