Detailed Schedule to End of Semester -- Principles of Analysis

Fall 2004, Prof. Little

As always, topics may be added, deleted, or rearranged during the course of the semester. Any changes will be announced in class and here.

DateClass Topic Reading (from Lay)
10/6 Convergence of sequences Section 16
10/8 Limit theorems for sequences Section 17
10/11 Columbus Day Break (no class)
10/13 Monotone sequences and convergence Section 18
10/15 Subsequences, Section 19
10/18 ``sequential compactness'' -- the Bolzano-Weierstrass Theorem
10/20 Limits of functions Section 20
10/22 Continuity Section 21
10/25 Properties of continuous functions Section 22
10/27 Uniform continuity Section 23
10/29 Exam II Sections 12, 16-21 (13-15 omitted)
11/1 The derivative Section 25
11/3 The Mean Value Theorem and consequences Section 26
11/5 Why L'Hopital's Rule ``works'' Section 27
11/8 Taylor polynomials and Taylor's Theorem Section 28
11/10 Definition of the Riemann integral Section 29
11/12 Properties of integrals Section 30
11/15 More properties of integrals Section 30
11/17 Fundamental Theorem of Calculus Section 31
11/19 Convergence of infinite series Section 32
11/22 First convergence tests Section 33
11/24 Thanksgiving Vacation (no class) Section 33
11/26 Thanksgiving Vacation (no class) Section 33
11/29 More on convergence tests Section 33
12/1 Power series and radius of convergence Section 34
12/3 Exam III Sections 22 - 33 (24 omitted)
12/6 Course wrap-up Section 34

The final exam for this course will be given at 8:30am on Wednesday, December 15.

Last modified: October 4, 2004