Student Learning Goals

Below are the departmental learning goals mapped to College-wide goals for student learning.

Upon completion of the major in mathematics (and to a lesser extent upon the completion of a minor in mathematics or a minor in statistics), a student shall have achieved the following:

• Goal 1: Students will develop a fundamental conceptual knowledge of continuous and discrete mathematics. (Ia, IVa)
  • Outcome 1.1: Students will demonstrate knowledge of fundamental concepts, definitions and theorems in single- and multi-variable Calculus. (Ic, IIa, IIb, IIc)
  • Outcome 1.2: Students will demonstrate an understanding of the fundamental concepts, definitions, and theorems in discrete fields such as Linear Algebra, Theory of Numbers, and Graph Theory. (Ic, IIa, IIb, IIc)
• Goal 2: Students will apply a variety of techniques to solve applied or computational problems. (Ic, IIa, IIb, IIId, IVa)
  • Outcome 2.1: Students will apply mathematical algorithms, formulas, and models that can be used to solve problems. (Ic, IIa, IIb, IIId, IVa)
  • Outcome 2.2: Students will utilize computing technology to solve problems. (Ic, IIa, IIb, IIId, IVa)
• Goal 3: Students will have a facility in mathematical reasoning, an understanding of definitions, axioms, and theorems, and an ability to use them appropriately in formulating proofs. (IIa, IIb, IIc)
  • Outcome 3.1: Students will apply a variety of proof techniques used in analysis, algebra, topology, and other fields of mathematics to prove statements in these fields. (IIa, IIb, IIc)
  • Outcome 3.2: Students will demonstrate an ability to use mathematical reasoning to provide convincing arguments that support or undercut mathematical conjectures. (IIa, IIb, IIc)
• Goal 4: Students will communicate mathematics effectively in both written and oral form. (IIc)
  • Outcome 4.1: Students will write clear, correct, and well-organized expository papers and proofs of mathematical statements. (IIc)
  • Outcome 4.2: Students will give clear, well-organized presentations on mathematical topics. (IIc)
• Goal 5: Students will appreciate the cultural and aesthetic aspects of mathematics. (IIe, IVa, IVd)