Math 3000.001 - Real Analysis 1

MWF 9:00-9:50 GAB 206

Instructor - J. Iaia

Office - GAB 420

Math Office phone - 2155

Office hours - T,TH 11-1 or by appt.

e-mail - iaia@unt.edu



Exams

Each exam is worth 20% of your final grade.

Exam 1: Sept. 23

Exam 2: Oct. 21

Exam 3: Nov. 18

Final : Dec. 18, 8am-10am

Homework

Homework is worth 20% of your final grade.

Homework is collected weekly.


Homework #1 - Due 9/2/09

Sec. 1 - 1,3,7,8,9,12

Sec. 2 - 3,5,8,9

Homework #2 - Due 9/9/09

Sec. 3 - 6,7

Homework #3 - Due 9/11/09

Sec. 4 - 3-10, 13,14,20,21

Homework #4 - Due 9/18/09

Sec. 5 - 3,4,5,19,20

Sec. 6 - 10,11,13,14,20-24

Homework #5 - Due 10/2/09

Sec. 7 - 3,4,6,7, 10-14

Find the inverse of f(x) = 3x+10.

Find the inverse of f(x) = x^2 + 1.

Homework #5 - Due 10/9/09

1. Prove f(A U B) = f(A) U f(B).

2. Prove f(A intersect B) is a subset of f(A) intersect f(B).

3. Find an example to show that f(A intersect B) is not equal to f(A) intersect f(B).

Section 8 - 3,4,9

Read problem 8.13

Section 10 - 3,8,12

Homework #6 - Due 10/16/09

1. Prove that if f is injective then f(A intersect B) = f(A) intersect f(B).

2. Prove that n^3 -n is divisible by 3 if n is greater than or equal to 2.

Section 10 - 11,13,16,18,21a,22

Homework #7 - Due 10/30/09

Section 11 - 3

Homework #8 - Due 11/6/09

Section 12 - 3,6,9

Section 13 - 3

Homework #9 - Due 11/13/09

Section 13 - 1,4,5,8,11,19,21

Homework #10 - Due 11/30/09

Section 13 - 9,10,12,14,15

Extra Credit

Section 13 - 1,2,7,24


Students must take exams on the scheduled dates.

Students are responsible for all work assigned and announcements made during class whether or not they are present.

Students are expected to be respectful of others at all times. This includes stepping out into the hall if you receive a call on your cell phone! Disruptive students will be asked to leave.

Cheating will not be tolerated.

Students with disabilities are responsible for providing me with appropriate documentation from the Dean of Students office.

Last day to drop with an automatic W: Oct. 6

Last day to drop with a W or WF: Oct. 30


Last update: 8/27/09