MT320 Analysis
Spring 2013

Dan Chambers   365 Carney

chambers@bc.edu    617-552-3769 (email is more reliable)

Office Hours: Mondays 1-2, Wednesday 11-12, Fridays 2-3, or by appointment.

Analysis is concerned with the theoretical underpinnings of calculus. We'll start with properties of the real numbers, then consider sequences and limits, functions and their derivatives and integrals.

The text we'll use is An Introduction to Analysis, 2nd edition, by G.G. Bilodeau, P.R. Thie, and G.E. Keough. We'll cover selected portions of the first five chapters and, time permitting, some of the sixth.

Here is a link to the syllabus.

This is a work in progress; check back for updates.

 Date topic/section HW assigned HW due/solutions January 14 1.1 Sets 16 1.2 Functions 18 1.2/1.3 Properties of real numbers HW#1 21 MLK Day, no class 23 1.3 ct'd 25 1.3/1.5 Least upper bound axiom HW#1 28 1.5 ct'd HW#2 30 1.5 concluded February 1 2.1 Sequences and limits 4 2.2 Limit theorems HW#2 6 2.2 ct'd 8 snow cancellation 11 2.3 montonic sequences HW#3 13 2.4 Sequences defined inductively 15 2.5 Subsequences 18 2.5 ct'd Nested Intervals and Bolzano-Weierstrass Thms HW#3 20 exam 1 22 2.6 Cauchy sequences HW#4 25 2.7 Infinite limits 27 3.1 Limit of a function March 1 3.1 ct'd HW#4 4 spring break 6 spring break 8 spring break 11 3.2 Limit theorems 13 3.2, 3.3 Other limits HW#5 15 3.3 18 3.4 Continuity 20 3.4 HW#5 22 3.4/3.5 HW#6 25 3.5 IVT and EVT 27 29 Easter break April 1 Easter break 3 4.1 Definition of the derivative HW#6 5 exam 2 8 4.1 10 4.2 12 4.2, 4.3 HW#7 15 Patriot's Day 17 4.3 19 5.1 HW#8 22 5.1 HW#7 24 5.2 26 5.3 29 5.3/5.4 HW#9 HW#8 May 1 5.4 last day of class HW#9 8 final exam 9:00 am