## MA 343A Introduction to Real Analysis

**Instructor:** Thomas Hull, Mendel 256, x4334,
thull@merrimack.edu

Click here for Homework
assignments.

**Text:** *Analysis with an Introduction to
Proof*, 2nd edition,
by Steven R. Lay, Prentice Hall, 1990.

**Description:** In one sense real analysis is
just doing calculus all
over again, only this time we prove *everything*. But in another,
larger sense this class is much more than that. It's about setting
up a system to analyze things like calculus thoroughly and rigorously
so that we can ** move beyond** calculus. That is the real
goal of real analysis. (Ha!)
With only one semester, we won't have much time, if any, to go
beyond like that. We'll have our hands full going over logic,
defining the real number system, playing with epsilons and deltas,
and proving all the Theorems from calculus. But hopefully we'll
have time at the end to glimpse beyond the veil of calculus ...
Lebesgue integration! Ooooo!

**Homework:** There will be weekly homework
assignments. Some will
be easy, and some won't be! Not to worry, though. You'll be allowed to
resubmit any assignments that you hand in for a better grade. (As long
as you hand in the first attempt on time!)

**Grading and exams:** There will be two exams
and a final.
The grade breakdown will be:

homework: 30 points

two exams: 40 points (20 each)

final : 30 points

TOTAL : 100 points

Please come by and see me if you have any questions! Or if anything
happens to you that makes this course difficult, or if you're having
any trouble, or if you just want to gripe, feel free to stop by.
Except for when I'm teaching and lunchtime, I'm usually in my office.

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