MATH 310
## Math 310, Sec 01, Elementary Real Analysis, Fall 2022

### Prelims:

### Assignments:

- Due 9/20. Read section 10 (to p. 60) and do problems 10.1, 10.4
(only part about Theorem 10.2), 10.7, 10.9, 10.10.
- Due 9/15. Read section 9 again as needed, do problems 9.8 a,b,c, 9.9 a,
9.10b, 9.12, 9.13, 9.17. Read section 10.
- Due 9/13. Do problem 8.5. Read Section 9 and do problems 9.1a, 9.2., 9.5.
- Due 9/8. Read section 7, do problems 7.3 a,d,n,t, 7.4. Read section 8
and do problems 8.1 c, 8.2 e, 8.6. Read problem 8.5 and try it if you like.
- Due 9/6. Read sections 4 and 5. Do problems 4.3 part b,e,k,n, 4.4 (pick 5
parts), 4.8, and problems 5.1
and 5.2.
- Due 9/1. Read pages 13-18. Do problems 2.4, 2.8, 3.3, 3.6. (Be aware of
of properties of real numbers from this section, but we will not be focusing
on the study of ordered fields).
- Due 8/30. Read pages 365-366, and pages 1-13. Do problems on page 5,
#1.2, 1.7, 1.9, 1.11.

### Course Information:

This course is an introduction to the theory of functions of a real
variable. Topics include real numbers and the completeness property, limits
of sequences, elementary topological concepts, continuity and uniform
continuity, sequences and series of functions, derivatives, Taylor's theorem
and the Riemann integral.
- Location: Tuesdays and Thurdays, 10:45-12:00, Kiely Hall Rm 420.
- Textbook: "Elementary Analysis, the Theory of Calculus" 2nd Edition, by
Kenneth A. Ross.
- Grading: The final grade will be based on two preliminary exams (30%
each), and the final exam (40%).
- Exams: The two preliminary exams are in class on Thursday Sept. 22nd, and
Tuesday Nov. 8th. The final exam is TBA.

### Contact Information:

- Instructor: Scott Wilson
- Email: scott dot wilson AT qc.cuny.edu
- Office hours: T,Th 10:10-10:40, or by appointment.
- Office: Kiely 609

### Academic Integrity:

In case of cheating or plagarism, I will seek
academic and disciplinary sanctions. See The CUNY Policy on Academic Integity.