Professor: Jeff Johannes Section 1 MWF 11:30a-12:20p South 328

Office: South 326A

Telephone: 5403 (245-5403)

Office Hours: Monday 5-6p in South 309, Tuesday 1-2p in South 309. Wednesday 12:30-1:20p in South 309, Thursday 8-9p in South

Email Address: Johannes@Geneseo.edu

Web-page: http://www.geneseo.edu/~johannes

Upon successful completion of Math
324 - Real Analysis I, students will be able to:

- Describe the real line as a complete, ordered field,
- Determine the basic topological properties of subsets of the real numbers,
- Use the definitions of convergence as they apply to sequences, series, and functions,
- Determine the continuity, differentiability, and integrability of functions defined on subsets of the real line,
- Apply the Mean Value Theorem and the Fundamental Theorem of Calculus to problems in the context of real analysis, and
- Produce rigorous proofs of results that arise in the context of real analysis.
- Write solutions to problems and proofs of theorems that meet rigorous standards based on content, organization and coherence, argument and support, and style and mechanics.

Homework (8) 6% each

In-class exams (2) 16% each

Final exam (1) 20%

0 missing or plagiarised question

1 question copied

2 partial question without significant progress - not eligible to rewrite

3 significant progress, but incomplete question

4 completed question with some solution

5 completed question correctly and well-written

Each entire homework set will then be graded on a 90-80-70-60% (decile) scale. Late items will not be accepted.

Schedule (subject to change and clarification)

Date Topic

August 28 Introduction + 1.1

30 (extended version of Theorem 1.3)

September 1 2.1 - 4

6 2.5 - 3.1

8 3.1 - 3.6 PS1 (Chapters 1-2)

11 3.7 - 4.4

13 5.1 - 5.3

15 5.4 - 6.1

18 6.2 - 6.5

20 7.1 - 7.3 PS2 (Chapters 3-4)

22 7.4 - 7.7

25 8.1 - 8.4

27 9.1 - 9.4

29 PS3 (Chapters 5-7)

October 2 review

4 XM1 (Chapters 1-7)

6

11 9.5 - 10.2

13 10.3 - 11.1

16

18 11.2 - 11.3 PS4 (Chapters 8-10)

20 11.4 - 12.1

23 12.2 - 13.3

25

27 PS5 (Chapters 11-12)

30 13.4 - 14.1

November 1 14.2 - 15.2

3

6 PS6 (Chapters 13-14)

8 review

10 XM2 (Chapters 8-14)

13 15.3 - 16.1

15 16.2 - 17.2

17 17.3 - 18.2

20 18.3 - 19.3

27 PS7 (Chapters 15-17)

29 19.4 - 20.1

December 1 20.2 - 20.4

4 20.5 - 20.6

6

8 review PS8 (Chapters 18-20)

11 review

Friday, December 15 8:00 - 11:00a Final Exam (Half from 15-20, half from 1-14)