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