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