MATH3320 Analysis
  Fall 2017  Gasson 205

Dan Chambers   543 Maloney Hall

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


Office Hours: M3-4, W2-3, F12-1 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  (ISBN-13: 9780763774929). 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
August



28
1.1 Sets
HW1

30
1.2 Functions


September



1
1.2 ct'd, 1.3 Real #'s


6
1.3 ct'd
HW2
HW1 solutions
8
1.5 Least upper bound axiom


11
1.5 ct'd
HW3
HW2 solutions
13
1.5 completed


15
2.1 sequences and limits


18
2.1 ct'd

HW3 solutions
20
2.2 limit theorems


22
2.2 ct'd
HW4

25
2.2, 2.3 monotonic sequences


27
2.3, 2.4 sequences defined inductively


29
2.4 ct'd

HW4 solutions
October



2
2.5 subsequences


4
2.5 ct'd


6
2.6 Cauchy sequences


11
midterm 1 solutions


13
2.6 ct'd, 3.1 limit of a function


16
3.1 ct'd examples


18
3.1 concluded
HW5
20
3.2 limit theorems


23
3.2 more limit theorems


25
3.3 other limits
HW5 solutions
27
3.3 concluded

30
3.4 continuitybegun
HW6

 November 1
3.4 ct'd ex's


3
no class


6
3.4 limit theorems
HW6 solutions
8
3.5 IVT
HW7

10
3.5 boundedness and EVT


13
3.5 finished , 4.1 intro to derivatives


15
4.1 definitions of derivative, examples

HW7 solutions
17
midterm 2 solutions


20
4.2 differentiation  rules


27
4.2/ 4.3 extrema
HW8

29
4.3 MVT


December



1
5.1 Integration


4
5.1/5.2 properties
HW9
HW8 solutions
6
5.3 Existence theory


8
5.4 FTC

HW9 solutions




14
 Final 12:30 pm