**Planned***Wed, Apr 29*: Review for Final Exam

*Mon, Apr 27*: §45 Problems on Change of Variables

*Fri, Apr 24*: §45 Jacobian Theorem, Change of Variables

*Wed, Apr 22*: Overview of Midterm Exam 2

*Mon, Apr 20*: Review for Midterm Exam 2

*Fri, Apr 17*: § 45 Linear Change of Variables, Transformations Close to Linear

*Wed, Apr 15*: §45 Transformation of Sets, Content and Linear Mappings

*Mon, Apr 13*: §44 Integral as Iterated Integral; §45 Transformations of Sets of Content Zero

**Covered***Fri, Apr 10*: §44 Further Properties of Integral, Mean Value Theorem

*Wed, Apr 8*: §44 Characterization of the content function

*Mon, Apr 6*: §44 Sets with content

*Fri, Apr 3*: §43 Properties of Integral, Existence of Integral

*Wed, Apr 1*: §43 Definition of Integral, Riemman, Upper and Lower Sums

*Mon, Mar 30*: §43 Content zero, cells, partitions

*Fri, Mar 27*: §42 Inequality Constraints

*Wed, Mar 25*: §42 Extremum Problems with Constraints. Examples.

*Mon, Mar 23*: §42 Extremum Problems: Examples; Extremum Problems with Constraints.

*Mon, Mar 16 – Fri, Mar 20*: Spring break

*Fri, Mar 13*: Class cancelled (because of evening exam)

*Wed, Mar 11*: §42 Extremum Problems, Second Derivative Test

*Mon, Mar 9*: §41 Implicit Function Theorem (continued)

*Fri, Mar 6*: §41 Implicit Function Theorem

*Wed, Mar 4*: Overview of Midterm Exam

*Mon, Mar 2*: Review for Midterm Exam

*Fri, Feb 27*: §41 Inverse Mapping Theorem

*Wed, Feb 25*: §41 Surjective Mapping Theorem, Open Mapping Theorem

*Mon, Feb 23*: §41 Injective Mapping Theorem, Surjective Mapping Theorem (started)

*Fri, Feb 20*: §41 Taylor's theorem,

*C*^{1} functions, Approximation Lemma

*Wed, Feb 18*: §40 Mixed derivatives (finished), higher derivatives

*Mon, Feb 16*: §40 Mean Value Theorem, mixed derivatives (stared)

*Fri, Feb 13*: §39 Tangent planes, §40 Combinations of Diff. Functions, the Chain Rule

*Wed, Feb 11*: §39 Examples, Existence of the derivative

*Mon, Feb 9*: §39 Partial derivatives, differentiability

*Fri, Feb 6*: §22 Preservation of connectedness, Continuity of Inverse Function; start § 39

*Wed, Feb 4*: §22 Relative topology, global continuity, Global continuity theorem, preservation of connectedness

*Mon, Feb 2*: §20 Continuity at a point (different definitions), §21 Linear functions

*Fri, Jan 30*: §17 Sequences of functions, pointwise and uniform convergence

*Wed, Jan 28*: §§15-16 Subsequences, Bolzano-Weierstrass (revisited), Cauchy sequences

*Mon, Jan 26*: Finish §12; §§14 Convergence of sequences

*Fri, Jan 23*: §12 Connected sets

*Wed, Jan 21*: §11 Compactness, Heine-Borel, Cantor Intersection Theorem

*Mon, Jan 19*: MLK day, no class

*Fri, Jan 16*: §10 Cluster points, Bolzano-Weierstrass, Nested Cells

*Wed, Jan 14*: §9 Open and closed sets, interior, boundary, closure

*Mon, Jan 12*: §8 Cartesian spaces, inner products, norms