Final Exam Time and Place: Thursday, Mar. 19, 6pm-8pm, in 212 Wellman, the same room where our class meets.

Review Session/ OHs:
Review: Wed., Mar. 18, 6-8pm, 2112 Math.
Regular OH: Monday, Mar. 16, noon-1pm.
Administrative OH: Wednesday, Mar. 18, 5-6pm. Questions not about the material will have priority during this OH.
Please let me know of any special circumstances by Mar. 18, 6pm!

Material covered on the final:
I. Riemann integral: connection to Riemann sums, properties of Riemann integral and integrable functions (monotonicity, linearity, domain-additivity, composite with continuous functions), fundamental theorem of calculus and consequences (integration by parts, change of variables), integral and limits of functions (including connection with power series), improper integrals (including comparison theorems and absolute convergence).
II. Functions of several variables: limits, continuity, partial derivatives, directional derivatives differentiability, C¹ functions, chain rule, inverse function theorem, integration (Fubini's theorem, computation of improper integrals, change of variables).

Study tips:
The level of problems on the final will be the same as on the two midterms. Sample problems on multi-dimensional integration are problems 2, 5, 6, 7, 8 on the last discussion. The usual policy applies: you may use any result covered in the lecture or in the discussion without comment; the official formulation of any theorem is the one given in the lecture; I will not ask you to reproduce the proofs of theorems, but you will need to know how to apply them. Focus your effort on understanding how to apply the theorems to examples.