Student Learning Goals

• Exhibiting sound understanding of what is asked, claimed, assumed, or conjectured.
• Making clear and precise definitions and establishing consistent notation.
• Presenting a logical, consistent flow of ideas in developing a proof or constructing an example.
• Handling abstraction effectively.
• Ensuring completeness in argumentation, analysis, and classification.
• Showing an appreciation for and basic familiarity with major mathematical structures and concepts and their uses, e.g. vector spaces, linear and non-linear maps, groups, rings, fields, topologies, continuity, completeness, convergence, limits, sets and cardinals, logic, probabilities, independence, laws of large numbers, regression, approximation, numerics, dimension, measure, calculus and differential equations, curves and surfaces, etc.