Mathematics

Program mission statement

Mathematical principles underpin four of the original seven liberal arts (arithmetic, geometry, logic, and astronomy). The mission of the Saint Martin's University mathematics department is to continue this tradition by emphasizing critical thinking and problem-solving skills in a quantitative framework to enhance our students’ decision-making abilities. Courses in the mathematics department are tailored to meet the needs of a wide variety of students. In particular, our courses will provide mathematics majors with a strong foundation in traditional mathematical skills, content knowledge in core areas of mathematics, methods of making rigorous arguments with axiomatic systems, and applying analytic, algebraic, and algorithmic solutions to applied problems; provide science and engineering majors with the mathematical and statistical backgrounds required for their fields of study; provide business majors with courses to give them a foundation in applied calculus and statistics which demonstrate the utility and necessity of quantitative reasoning for success in business; and, provide liberal arts majors with an appreciation of the role in mathematics in modern society.

Program goals, objectives and outcomes

The student will:

Knowledge

Demonstrate content knowledge in at least three of the following core areas of mathematics:

  • Matrix manipulations, vector spaces, linear transformations and eigenvalues.
  • Construction of probabilistic axioms and distributions; theory and application of statistical principles.
  • Axiomatic systems (e.g., groups and rings).
  • Algebraic, order and completeness properties of the real number system.

Skills

Master traditional mathematical skills including:

  • Algebraic representation and manipulation.
  • Pattern recognition.
  • Problem solving.
  • Quantitative reasoning.

Application

Demonstrate application of analytic, algebraic and algorithmic techniques to solve applied problems

  • Include techniques from several areas such as differential equations, linear transformations, series of functions, statistics, linear algebra and calculus.
  • Use appropriate technology.