MAA 4212, Section 01B8
Spring 2014
- Handouts for MAA 4211, Fall 2013
- Dr. McCullough’s notes, available here . Please remember that while you’re welcome to use these excellent notes as source-material to supplement the textbook, your class notes, and my own handouts on various topics, Dr. McCullough’s notes are not an “official” set of notes for our section. There may be topics that I cover that Dr. McCullough does not, and vice-versa. On the topics that we both cover, there may be some (generally minor)
differences in definitions. - Notation-difference chart . Notational and terminological differences among Rosenlicht, Dr. Groisser, and
Dr. McCullough. (May be updated occasionally.) - Improper integrals
- Some facts about normed vector spaces
- Matrices, Power Series, and Functions of Matrices
- What Does “Differentiable” Mean? These are notes written for a Calculus 3 class, at a considerably lower level than my Advanced Calculus handouts, but some MAA 4212 students may appreciate the more gradual and concrete lead-in to what differentiability really means. A few caveats: the notation is different from what we’ve been using in MAA 4212; the “grown-up” derivative is not defined (since most Calc 3 students haven’t taken Linear Algebra yet); and the gradient of a real-valued function is defined, but hasn’t been defined in our class and won’t be (introducing it too briefly would likely lead to some misconceptions and over-generalizations, and there would be no class-time left to undo the damage).
Last update made by D. Groisser Fri Mar 28 05:43 EDT 2014