Student Learning Objectives Mathematics and Statistics

Bachelor of Arts

• Construct proofs using techniques from logic such as proof by contradiction and/or specific techniques such as the principle of induction.
• Analyze and check correctness of mathematical arguments, and read mathematical text independently.
• Apply an advanced abstract mathematical idea to a concrete real-world problem (e.g., application of differential equations, or linear programming, or RSA or error correction codes).
• Write effectively using language appropriate for mathematical discourse.
• Use calculus to analyze and evaluate properties of real valued functions.
• Successfully complete four advanced courses in four different areas of mathematics, establishing breadth required for careers in fields such as teaching and industrial applications.

Bachelor of Science

• Construct proofs using techniques from logic such as proof by contradiction and/or specific techniques such as the principle of induction.
• Analyze and check correctness of mathematical arguments, and read mathematical text independently.
• Apply an advanced abstract mathematical idea to a concrete real-world problem (e.g., application of differential equations, or linear programming, or RSA or error correction codes).
• Write effectively using language appropriate for mathematical discourse.
• Use calculus to analyze and evaluate properties of real valued functions.
• Successfully complete two sequences of two advanced courses in different areas of mathematics, establishing depth required, for example, for further graduate studies in mathematics and natural sciences.

Master of Science

• Gain advanced understanding of three areas of mathematics.
• Develop deep understanding and working knowledge of one chosen area of mathematics, which can come from one of the areas of the faculty expertise, such as analysis, algebra, topology, or statistics.

Ph.D.

• Develop a deep understanding of proposed area of dissertation research.
• Complete a doctoral dissertation.
• Gain a solid understanding of three different areas of mathematics and statistics, namely, one-year sequence in each of the three areas chosen from the following fields: algebra, real analysis, complex analysis, topology, mathematical statistics, and probability.