MAT 211 Expected Learning Outcomes

• Use vectors and the geometry of \(\mathbb{R}^n\) to describe and analyze curves and surfaces through parametrizations.
• Evaluate limits and use continuity, partial derivatives, directional derivatives, and differentiability to analyze functions of several variables.
• Apply Taylor's theorem, Lagrange multipliers, and the inverse and implicit function theorems to approximation, optimization, and related problems.
• Set up and evaluate double and triple integrals, including integrals requiring a change of variables.
• Use vector fields, differential forms, line integrals, and surface integrals, and apply Green's theorem, the divergence theorem, and Stokes' theorem to solve problems in vector calculus.