Bachelor of Science in Mathematical Sciences

The primary goals of the Mathematical Sciences curriculum are to offer general training in mathematical reasoning and to develop mastery of mathematical tools needed for a lifelong series of different jobs and continuing education. Much emphasis is placed on the theory of problem-solving and nurturing such abilities as intuition, inductive and deductive reasoning, and model building. The student is also made aware of the power and elegance of mathematical truth through careful analysis of axiomatic systems and mathematical theories. Throughout the undergraduate program students are encouraged to formulate their own problems and conjectures, thus challenging their own ability to cope with the mathematical literature. In fostering these goals the Mathematical Sciences curriculum provides grounding in the traditional areas of theoretical mathematics. It also requires students to select a track of study based on future career or graduate school goals: pure mathematics, applied mathematics, teacher preparation-secondary school, or teacher preparation-elementary school. In seminars, independent study courses, and internships the student is encouraged to formulate and carry out research projects, working creatively with the literature in either pure, applied mathematics or mathematics education. In the senior year students work individually with a faculty member on their self-selected senior project, which culminates in a research paper and a presentation, usually at the Hudson River Undergraduate Mathematics Conference. The programs lead to a Bachelor of Science degree in the Mathematical Sciences, whether pursuing the pure, applied, or teacher preparation-secondary school track, or a Bachelor of Arts degree in Mathematics, if pursuing the teacher preparation-elementary school track. The programs have been patterned to follow the recommendations of the Committee on Undergraduate Programming in Mathematics of the Mathematical Association of America. Program Objectives The Mathematical Sciences curriculum provides instruction and support for students in achieving the following objectives. It is our purpose that our students: Learn mathematical habits of mind a. Correctly apply inductive and deductive reasoning skills. b. Demonstrate correct use of formal mathematical language and ability to compose a mathematical proof. c. Demonstrate the ability to successfully apply mathematical computations and algorithms. d. Demonstrate the ability to do mathematical work independently, and to go beyond the content level of standard coursework. Demonstrate fluency in mathematical communication. Career Opportunities Graduates in mathematics develop the type of creative thinking and problem-solving abilities required of professional mathematicians. As a consequence, they are well prepared to complete advanced study or pursue a wide variety of employment opportunities in industry, commerce, or the public sector. Graduates have secured positions in the areas of actuarial science, finance, operations research, computer programming, statistics, systems analysis, software engineering, and teaching. Others have received fellowships to pursue graduate study in mathematics or related areas.