MAA 4212, Section 3009 (Groisser)
Spring 2019
Miscellaneous handouts

• MAA 4211, Fall 2018 handouts (Groisser section)
• Taking notes in a college math class
• Proof-writing quiz
• What is a proof? Ignore the references to the textbook; this handout was originally written for a linear algebra class (MAS 4105).
• Mathematical grammar and correct use of terminology. Same comment as above.
• One-to-one and onto: What you are really doing when you equations. This handout was written for a low-level class, but many students even in high-level classes have never seen, or thought about, the logic that's involved in manipulating or solving equations. The same logical principles in this handout apply when manipulating or solving inequalities; the only ideas in the handout that aren't relevant to inequalities are "one-to-one" and "onto".
• Notes on Integration, current version. Essentially the same as the 2/10/19 version through Corollary 6.41. An exercise that used to follow Corollary 6.41 has been deleted (and a few lines of text inserted). This affects the numbering of subsequent exercises (new Exercise 6.4 = old Exercise 6.5, etc.), but not the numbering of anything else.
  • Notes on Integration, version dated 2/10/19. Essentially the same as the 1/31/19 version through Corollary 6.30. A new Lemma 6.31 has been added, changing the item-numbering beyond that point (current Theorem 6.32 = old Theorem 6.31, etc.). The proof of Theorem 6.32 (as newly numbered) has been modified slightly, and there are some changes after Theorem 6.32. An index to definitions of notation and terminology, Section 6.11, has also been added.
  • Notes on Integration, version dated 1/31/19.

• Some notes on normed vector spaces.
• Improper Integrals.
• Some notes on multivariable derivatives.
• Notation-difference chart . Notational and terminological differences among Rosenlicht, Dr. Groisser, and instructors using the notes written by Drs. McCullough and Jury. (May be updated occasionally.)

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