Home page for Math 3100, Spring 2014

Updated 4/21/14

Course syllabus (updated 1/9/14)

Link to the amazon.com page for Applebaum's book

Adams notes (this is an old version of the notes, but we will stick with it this term)

HW 1, due Wednesday, January 15: Adams notes, pp. 8 ff: # 3, 4, 11, and pp. 18 ff: # 1, 2, 5, 7, 11, 13, 19

(page numbers are the numbers printed on the pages of the notes, not the page numbers of the pdf file!)

HW 2, due Wednesday, January 29: Applebaum pp. 42—43, #1, 2, 3, 4, 5 , 6, 7

HW 3, due Friday, February 7: Adams notes, pp. 48—49, # 1, 3, 5, 8, 17, 18

Test 1 is scheduled for Wednesday, February 19.

The test will cover sections 1.1—1.6 of Adams, and chapters 1—4 of Applebaum (except for sections 3.5 and 4.4), and also section 5.4.

Topics: inequalities

The definition of limit; verifying limits directly from the definition

Completeness of the real line (bounded monotone sequences converge)

You should know how to prove the following statements:

If all terms of a convergent sequence >= A, then the limit of the sequence also >= A.

A convergent sequence is bounded.

The sum formula for limits

Construction of the square root of 2 (or any other number) as the limit of a sequence defined