Holy Cross Mathematics and Computer Science

MATH 242, Principles of Analysis, Fall 2005

Syllabus and Schedule

Course syllabus
Course schedule revised, 10/20

Examples, Solutions, Class Notes, Etc.

Assignments

Guidelines for problem sets
Discussion 1 (.pdf file) Due: Monday, 9/5
Problem Set 1 -- From Abbott: 1.2.1, 1.2.2, 1.2.3c, 1.2.6, 1.2.7, 1.2.10, 1.2.11. Due: Friday, 9/9
Problem Set 2 -- From Abbott: 1.2.8, 1.3.2, 1.3.3, 1.3.4, 1.3.6, 1.3.7, 1.3.8, 1.3.9. Due: Friday, 9/16 Note: 1.4.4 and 1.4.5 have been postponed until next week's problem set
Problem Set 3 -- From Abbott: 1.4.4, 1.4.5, 2.2.1, 2.2.2, 2.2.3, 2.2.4, 2.2.6, 2.2.7, 2.2.8. Due: Monday, 9/26 note change
Problem Set 4 -- From Abbott: 2.3.8, 2.4.2, 2.4.5, 2.5.3, 2.5.4, 2.5.6. Due: Friday, 10/14
Problem Set 5 (.pdf) Due: Friday, 10/21
The problem set for next week will be a collaborative assignment: Discussion 2. Due: Friday, 10/28
Problem Set 6 -- From Abbott: 4.2.1, 4.2.3, 4.3.1, 4.3.2, 4.3.9, 4.3.12. Due: Friday, 11/11.
Problem Set 7 (.pdf) Due: Friday, 11/18
Discussion 3 in class Monday, November 21.
Extra Credit Problem Set 8 -- From Abbott: 5.3.3, 5.3.4, 7.2.2, 7.2.3, 7.2.4, 7.3.1, 7.3.4, 7.3.5, 7.4.2, 7.4.4. Due: Tuesday, December 6.

Information and Announcements

Revised Office Hours: MW 1-3 pm, TR, 11 - noon, F 9 - 10, and by appointment.
Final Exam: 2:30 - 5:30pm on Wednesday, December 14.
Review Session: Monday, December 12, 7:30 pm - ? in Swords 328.
Definitions you should know:
- the definition of a least upper bound for a set A (sup(A)),
- the statement of the Axiom of Completeness
- the definition of a countable set
- the definition of convergence for a sequence
- the definition of a subsequence of a sequence
- the definition of convergence for an infinite series
- the definitions of absolute convergence and conditional convergence for an infinite series
- the definition of functional limits (i.e. the precise meaning of lim_x->c f(x) = L)
- the definition of continuity of f(x) at x = c.
- the definition of differentiability of f(x) at x = c.
- the definition of integrability of f(x) on [a,b].

Downloading Information

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Last modified: December 15, 2005