**Covered***Apr 10* § 45 Change of Variables: Problems

*Apr 3* § 45 Change of Variables

*Mar 29* § 45 Transformations by Linear Maps, Nonlinear Maps, Jacobian Theorem

*Mar 27* § 44 Integral as Iterated Integral, § 45 Transformations and Sets

*Mar 22* § 44 Further Properties of Integral, Mean Value Theorem

*Mar 20* § 44 Sets with Content, Content Function

*Mar 8* § 43 Properties of Integral, Existence Theorem

*Mar 6* § 43 Content Zero, Definition of Integral

*Mar 1* Midterm Exam 1

*Feb 27* Review for Midterm Exam 1

*Feb 22* § 42 Inequality Constraints, Problems

*Feb 20* § 42 Extremum Problems with Constraints, Lagrange's Theorem

*Feb 15* § 42 Second Derivative Test

*Feb 13* [winter storm]

*Feb 8* § 42 Local Extrema

*Feb 6* § 41 Inversion Theorem, Implicit Functions

*Feb 1* § 41 Surjective Mapping Theorem; Open Mapping Theorem

*Jan 30* § 41 Injective Mapping Theorem

*Jan 25* § 41 Class C

^{1}, Approximation Lemma

*Jan 23* § 40 Interchange of Order of Differentiation, Taylor's Theorem

*Jan 18* § 40 Chain Rule and Mean Value Theorems

*Jan 16*§ 39 Existence of Derivative

*Jan 11* § 39 The Derivative

*Jan 9* § 21 Linear functions, § 39 Partial derivatives