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

(1) Achieve mastery of a rich and diverse set of mathematical ideas.

(2) Use acquired mathematical skills to undertake independent learning and to be a contributing member of a problem solving team.

(3) Demonstrate the ability to write mathematical proofs.

(4) Demonstrate the ability to use and understand multiple representations (including graphical, numerical and analytical) of mathematical concepts.

(5) Understand and appreciate connections among different areas of mathematics and with other disciplines.

(6) Communicate effectively, and explain mathematics both verbally and in writing.

(7) Utilize appropriate technology to develop models for solving problems and analyzing new situations.

(8) Appreciate the beauty, joy, and challenge in mathematics and experience mathematics as an engaging field with contemporary open questions.

(9) Think analytically and critically and be able to formulate problems, solve them, and interpret their solutions.

Students graduating with the B. S. degree in applied mathematics should be able to:

(1) Demonstrate that they can model and solve problems that represent a wide variety of realistic applications.

(2) Demonstrate competency in a programming language.

(3) Demonstrate a command of ideas and techniques ranging across single and multivariate calculus, discrete mathematics, linear algebra, probability and statistics, and differential equations.

(4) Work on an intensive project that requires them to analyze and create mathematical arguments and then to produce a substantial written and oral report.

Students graduating with the B. S. degree in mathematics with certification should:

(1) Become qualified for certification by the State of Connecticut for teaching secondary mathematics.

(2) Demonstrate a breadth and depth in mathematics that would allow them to formulate and respond to questions that promote meaning and understanding of mathematics.

(3) Develop, implement, and continually assess instructional methods that foster the learning of mathematics.

(4) Have sufficient knowledge of current high school curricular and pedagogical standards.

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

(1) Demonstrate knowledge of a variety of mathematical areas and their relationships to each other.

(2) Work on an intensive project that requires them to analyze and create mathematical arguments and then to produce a substantial written and oral report.

It is expected that each graduate student in mathematics will be able to:

(1) Achieve mastery of a rich and diverse set of mathematical ideas.

(2) Use acquired mathematical skills to undertake independent learning and to be a contributing member of a problem solving team.

(3) Demonstrate the ability to write mathematical proofs.

(4) Communicate effectively and explain mathematics both verbally and in writing.

(5) Utilize appropriate technology to develop models for solving problems and analyzing new situations.

(6) Think analytically and critically and be able to formulate problems, solve them, and interpret their solutions.

Students completing the certification courses should:

(1) Be adequately prepared for PRAXIS II.

(2) Demonstrate a breadth and depth in mathematics that would allow them to formulate and respond to questions that promote meaning and understanding of mathematics.

(3) Develop, implement, and continually assess instructional methods that foster the learning of mathematics.

(4) Have sufficient knowledge of current high school curricular and pedagogical standards.