| Instructor | : Rich Daquila |
| Office | : BSC 321 |
| Phone | : 826-8302 |
| Hours | : MWF 1:30-2:30, T 9:00-11:00 |
Text : Dangello & Seyfried; Introductory Real Analysis, (2000), Houghton Mifflin.
Welcome to Real Analysis, a very demanding course. Each student is expected to have completed Math 230 or Math 225. It might seem overwhelming at first don't become discouraged, hang in there and make sure you communicate with me. Stay caught up with the course both in terms of homework and reading.
We will cover the following list of selected topics from the text.
| Chapter | Topic | Chapter | Topic |
| 1 | Proofs, Sets and Functions | 5 | Differentiation |
| 2 | The Structure of R | 6 | Riemann Integration |
| 3 | Sequences | 8 | Sequences and Series of Functions |
| 4 | Continuity |
Grades for this class will depend on your performance on tests and homework.
The breakdown of points is as follows:
| Test 1 (Tuesday, September 21st) | 100 |
| Test 2 (Wednesday, October 27th) | 100 |
| Test 3 (Tuesday, November 23rd) | 100 |
| Final (Wednesday, December 15 at 8:30) | 200 |
| Quizzes | 100 |
| Homework | 100 |
| Total | 700 |
Specific grades are subject to individual interpretation by the instructor. Roughly speaking 90% or higher is in the A range, 80% a B, 70% a C , 60% a D. Below 60% is a F.
Tests-In order to give you the maximum amount of time on a test I will give them in two parts. The first part is in class and will consist of definitions, computational problems and theorems discussed in class. The second part will be take home in which you can use any resource you want besides another human being. If you can not take them at this time you will need to make other arrangements with me in advance of the test. Make-up tests will only be given for a suitable excuse determined by the lecturer following college policy on excused absences. Written documentation will be required for medical problems. Except for unforeseen illness and emergencies I will expect prior notification for any missed exams.
Quizzes - These will be sporadic and consist of definitions or calculations.
Homework-Assignments must be completed neatly and on time. One of the goals of this course is to communicate mathematically, sloppy and unorganized homework will not be accepted and will receive no credit. Be sure to be as clear and concise as possible and to be able to provide enough information to recreate your solution.
The points for this will be in two 50 point parts. The first is the assignment you write up to turn into me. The second is the homework problem you put up on the board and explain the solution to the class. Each correct solution and presentation earns you 5 points.
Attendance-Regular attendance is expected.
GOOD LUCK!! ENJOY THE SEMESTER!!!!
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| 30
Sec 1.1 |
31
Sec 1.2 |
1 (Sep)
Sec 1.2 Sec 1.3 |
2
|
3
Sec 1.3 |
| 6
Sec 1.4 |
7
Sec 2.1 |
8
Sec 2.2 |
9
|
10
Sec 2.2 |
| 13
Sec 2.3 |
14
Sec 2.4 |
15
Sec 2.4 |
16
|
17
Sec 2.4 |
| 20
Review |
21
TEST 1 |
22
Sec 3.1 |
23
|
24
Sec 3.1 |
| 27
Sec 3.2 |
28
Sec 3.3 |
29
Sec 3.4 |
30
|
1 (Oct)
Sec 3.5 |
| 4
Sec 3.6 |
5
Sec 3.7 |
6
Sec 3.8 |
7
|
8
Sec 3.8 |
| 11
Sec 4.1 |
12
Sec 4.1 |
13
Sec 4.2 |
14
|
15
Sec 4.3 |
| 18
NO CLASS |
19
NO CLASS |
20
Sec 4.4 |
21
|
22
Sec 4.5 |
| 25
Sec 4.5 |
26
Review |
27
TEST 2 |
28
|
29
Sec 5.1 |
| 1 (Nov)
Sec 5.1 |
2
Sec 5.2 |
3
Sec 5.3 |
4
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5
Sec 5.3 |
| 8
Sec 5.4 |
9
Sec 6.1 |
10
Sec 6.2 |
11
|
12
Sec 6.3 |
| 15
Sec 6.3 |
16
Sec 6.4 |
17
Sec 6.5 |
18
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19
Sec 6.5 |
| 22
Review |
23
TEST 3 |
24
NO CLASS |
25
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26
NO CLASS |
| 29
Sec 8.1 |
30
Sec 8.1 |
1 (Dec)
Sec 8.2 |
2
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3
Sec 8.2 |
| 6
Sec 8.3 |
7
Sec 8.3 |
8
Review |
9
|
10
Review |
Final : This will be comprehensive - Wednesday, December 15 at 8:30
| Section | Due | Problems |
| 1.1 | 9/1/04 | 1,3,5,6 |
| 1.2 | 9/3/04 | 6,8,9,10 |
| 1.3 | 9/6/04 | 1,2abcde,4,7,9,10 |
| 1.4 | 9/8/04 | 1,3,6,10,11 |
| 2.1 | 9/10/04 | 1,2,3,6,11 |
| 2.2 | 9/13/04 | 1,3,4,6,8 |
| 2.3 | 9/15/04 | 3,5,6,7 |
| 2.4 | 9/17/04 | 4,9,10,11,12,13 |
| 3.1 | 9/27/04 | 1abe,4,5,7,8,9 |
| 3.2 | 9/28/04 | 1abef,2,3,4,7 |
| 3.3 | 9/29/04 | 1,2,3,5 |
| 3.4 | 10/1/04 | 1,3,4,6,8 |
| 3.5 | 10/4/04 | 1,3,4,5,8 |
| 3.6 | 10/5/04 | 2,4,6,7 |
| 3.7 | 10/6/04 | 1abc,5,9 |
| 3.8 | 10/11/04 | 1abcd,3,4 |
| 4.1 | 10/13/04 | 2,3,4,7 |
| 4.2 | 10/15/04 | 1,2,3,6,7 |
| 4.3 | 10/20/04 | 1,5,6,10 |
| 4.4 | 10/22/04 | 1,2,4,5,7,8 |
| 4.5 | 10/25/04 | 1,4,7,9,11 |
| 5.1 | 11/2/04 | 1,4,5,8,9,12 |
| 5.2 | 11/3/04 | 1,2,5,9 |
| 5.3 | 11/8/04 | 2,3,5,7 |
| 5.4 | 11/9/04 | 1,2,3,4,5,6,7,8 |
| 6.1 | 11/12/04 | 1,3,4,8 |
| 6.2 | 11/15/04 | 1,2,3,4,5 |
| 6.3 | 11/16/04 | 3,5,6,7,9 |
| 6.4 | 11/17/04 | 1,6,7,8 |
| 6.5 | 11/19/04 | 1,3,4,5,7 |
| 8.1 | 12/1/04 | 1,2,4,5,7 |
| 8.2 | 12/6/04 | 1,3,5,6,7 |
| 8.3 | 12/8/04 | 1,2,3,7,8 |
Links
| Definitions | Theorems & Results |