Planned
- Thur, May 1: Review for Final Exam
- Tue, 04/29: [M] §25 Integration of functions on manifolds
Covered
- Thur, 04/24: Overview of Midterm 2, [M] §23-24 Manifolds with boundary
- Tue, 04/22: Review for Midterm 2
- Thur, 04/17: [M] §23 Manifolds in R^{n}
- Tue, 04/15: [M] §16 Partitions of Unity, §23 Manifolds in R^{n} (start)
- Thur, 04/10: [M] §22 Integration on a Parametrized Manifold
- Tue, 04/08: [M] §21 Volume of the Parallelopiped, §22 Volume of A Parametrized Manifold
- Thur, 04/03: §45 Change of Variables Strong Form
- Tue, 04/01: §45 Jacobian Theorem, Change of Variables
- Thur, 03/27: §45 Transformations by Linear and Nonlinear Mappings
- Tue, 03/25: §45 Transformations of Sets with Content
- Thur, 03/13: Overview of Midterm 1
- Tue, 03/11: §44 Further Properties of Integral, Integral as Iterated Integral
- Thur 03/06: §44 Characterization of Content Function
- Tue, 03/04: Review for Midterm 1
- Thur, 02/27: §44 Content and Integral, Sets with Content
- Tue, 02/25: §43 Properties of Integral, Existence of Integral
- Thur, 02/20: §43 Content zero, Definition of Integral
- Tue, 02/18: no class
- Thur, 02/13: §42 Inequality Constraints
- Tue, 02/11: §42 Extremum Problems with Constraints, Lagrange's Theorem.
- Thur, 02/06: §42 Local Extrema, Second Derivative Test.
- Tue, 02/04: §41 Implicit Functions
- Thur,1/30: §41 Surjective Mapping Theorem, Open Mapping Theorem, Inversion Theorem.
- Tue, 1/28: §41 Class C1, Approximation Lemma, Injective Mapping Theorem
- Thur, 1/23: §40 Interchange of Order of Differentiation, Taylor's Theorem
- Tue, 1/21: §40 Chain Rule and Mean Value Theorems.
- Thur, 1/16: §39 Partial derivatives, differentiation (cont)
- Tue, 1/14: §21 Linear functions, §39 Partial derivatives, differentiation