Student Learning Goals
Below are the departmental learning goals mapped to College-wide goals for student learning.
Upon completion of the major in 数学 (and to a lesser extent upon the completion of a minor in 数学 or a minor in statistics), a student shall have achieved the following:
- 目标1: Students will develop a fundamental conceptual knowledge of continuous and discrete
数学. (IVa Ia)
- 结果1.1: Students will demonstrate knowledge of fundamental concepts, definitions and theorems in single- and multi-variable Calculus. (Ic、活动花絮 IIb、IIc)
- 结果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、活动花絮 IIb、IIc)
- 目标2: Students will apply a variety of techniques to solve applied or computational problems.
(Ic、活动花絮 IIb, IIId, IVa)
- 结果2.1: Students will apply mathematical algorithms, formulas, and models that can be used to solve problems. (Ic、活动花絮 IIb, IIId, IVa)
- 结果2.2: Students will utilize computing technology to solve problems. (Ic、活动花絮 IIb, IIId, IVa)
- 目标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.
(活动花絮, IIb、IIc)
- 结果3.1: Students will apply a variety of proof techniques used in analysis, algebra, topology, and other fields of 数学 to prove statements in these fields. (活动花絮, IIb、IIc)
- 结果3.2: Students will demonstrate an ability to use mathematical reasoning to provide convincing arguments that support or undercut mathematical conjectures. (活动花絮, IIb、IIc)
- 目标4: Students will communicate 数学 effectively in both written and oral form.
(IIc)
- 结果4.1: Students will write clear, correct, and well-organized expository papers and proofs of mathematical statements. (IIc)
- 结果4.2: Students will give clear, well-organized presentations on mathematical 主题. (IIc)
- 目标5: Students will appreciate the cultural and aesthetic aspects of 数学. (国际教育协会 IVa试管)