Mathematics majors are expected to acquire competence in calculus, linear algebra, and probability and statistics. Through these fields, students are to develop understanding and skills in mathematical reasoning, logical deduction, data analysis and interpretation, and problem solving at various levels and in various contexts.
Students will communicate effectively broader mathematical reasoning approaches and more specific problem solving steps.
Students will progress from a procedural/computational understanding of mathematics to a broad understanding encompassing logical reasoning, generalization, abstraction, and formal proof. They are to formulate definitions and apply methods of direct and indirect proof.
Students will work with ideas and approaches representing the breadth of mathematical sciences, ranging from continuous to discrete and theoretical to applied.
Students will undertake an exploration of at least one advanced topic of their own choosing. This will require them to carefully read, analyze, and create mathematical arguments and draw on ideas and make connections with previous coursework.
Students will have experience with a variety of technological tools, such as computer algebra systems, visualization software, statistical packages, and computer programming languages.