**Planned***Apr 24-28* Review for Final Exam

**What was covered***Apr 17-19*: Review for Midterm 2

*Apr 14*: § Problems on Change of Variables

*Apr 12*: § Jacobian Theorem, Change of Variables

*Apr 10*: § 45 Linear Change of Variables, Transformations Close to Linear

*Apr 7*: §45 Transformation of Sets, Content and Linear Mappings

*Apr 5*: §44 Integral as Iterated Integral; §45 Transformations of Sets of Content Zero

*Apr 3*: §44 Further Properties of Integral, Mean Value Theorem

*Mar 31*: §44 Content and Integral

*Mar 29*: §43 Properties of Integral, Existence of Integral

*Mar 27*: §43 Definition of Integral, Riemman, Upper and Lower Sums

*Mar 24*: §42 Inequality Constraints, §43 Content Zero

*Mar 22*: §42 Extremum Problems with Constraints: Problems

*Mar 20*: §42 Extremum Problems with Constraints

*Mar 10*: Class cancelled (because of evening exam)

*Mar 8*: §42 Extremum Problems, Second Derivative Test

*Mar 6*: §41 Implicit Function Theorem, §42 Extremum Problems.

*Mar 3*: §41 Implicit Function Theorem

*Mar 1*: Overview of Midterm Exam

*Feb 27*: Review for Midterm Exam

*Feb 24*: §41 Inverse Mapping Theorem

*Feb 22*: §41 Surjective Mapping Theorem, Open Mapping Theorem

*Feb 20*: §41 Injective Mapping Theorem, Surjective Mapping Theorem (started)

*Feb 17*: §41

*C*^{1} functions, Injective Mapping Theorem (started)

*Feb 15*: §40 Mixed derivatives (finished), higher derivatives, Taylor's theorem

*Feb 13*: §40 Mean Value Theorem, mixed derivatives (stared)

*Feb 10*: §39 Tangent planes, §40 Combinations of Diff. Functions, the Chain Rule

*Feb 8*: §39 Examples, Existence of the derivative

*Feb 6*: §39 Partial derivatives, differentiability

*Feb 3*: §22 Global continuity theorem, preservation of compacteness, connectedness

*Feb 1*: §21 Linear functions, §22 Relative topology, global continuity

*Jan 30*: §20 Continuity at a point (different definitions)

*Jan 27*: §17 Sequences of functions, pointwise and uniform convergence

*Jan 25*: §§15-16 Bolzano-Weierstrass (revisited), Cauchy sequences

*Jan 23*: Finish §12; §§14-15 Convergence of sequences

*Jan 20*: §12 Connected sets

*Jan 18*: §11 Compactness, Heine-Borel, Cantor Intersection Theorem

*Jan 16*: MLK day, no class

*Jan 13*: §10 Cluster points, Bolzano-Weierstrass, Nested Cells; started §11

*Jan 11*: §9 Open and closed sets, interior, boundary, closure

*Jan 9*: §8 Cartesian spaces, inner products, norms