Holy Cross Mathematics and Computer Science

MATH 242, section 1 -- Principles of Analysis, Spring 2013

Syllabus and Schedule

Course syllabus
Course schedule

Examples, Solutions, Class Notes, Etc.

Solutions for Problem Set 1.
Solutions for Problem Set 2.
Solutions for Problem Set 3.
Exam 1 solutions.
Solutions for Problem Set 4.
Solutions for Problem Set 5.
Solutions for Problem Set 6.
Lecture notes on countable and uncountable sets, April 10.
Lecture notes on the Cantor set and function, April 12.
Exam 2 solutions.
Solutions for Problem Set 7.
Solutions for Problem Set 8.
Solutions for Problem Set 9.
Exam 3 solutions.
Final Exam solutions.

Assignments

See solutions above for the questions that were on the 9 problem sets.

Information and Announcements

Definitions you should know for the final
1. the definitions of set unions, intersections, and complements
2. the definitions of the one-to-one and onto properties of functions
3. the definition of the absolute value of a real number
4. the Well-Ordering Property of the natural numbers
5. the definition of a least upper bound for a set of real numbers A (lub(A))
6. the statement of the Least Upper Bound Axiom
7. the ε, n₀ definition of convergence for a sequence
8. the definition of a subsequence of a sequence
9. the ε, δ definition of functional limits (i.e. the precise meaning of lim_x->c f(x) = L)
10. the definition of continuity of f(x) at x = c (be able to state it with limits, or via the ε, δ form)
11. the definition of a countably infinite set
12. the definition of integrability of f(x) on [a,b] (please refer to the definition given in class on 4/15, not the equivalent version in our text)
13. the definition of convergence for an infinite series
14. the definitions of absolute convergence and conditional convergence for an infinite series
The final exam in this course will be given at 3:00pm on Wednesday, May 15. Final exam review sheet
Final Exam Review Session, Monday, May 13 at 7:00pm in Swords 328.
In case you need a copy, here are the three midterm exam review sheets:
- Review sheet for Exam 1
- Review sheet for Exam 2
- Review sheet for Exam 3

Downloading Information

The links for assignments and other handouts shown above lead in some cases to documents in .pdf format. To read and print these, you will need to have Adobe Acrobat Reader installed on your computer. This is available at no cost from Adobe.

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Last modified: May 15, 2013