Student name:
Earlham College
MATH 288: Sophomore Seminar
Spring 2012
Test 2 - In class part
April 2, 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
This part is a regular closed-book test, and is to be taken without the
Student name:
Earlham College
MATH 288: Sophomore Seminar
Spring 2011
Test 2 - In class part
March 28, 2011
Instructions:
Answer all questions on separate paper (not on this sheet!).
This part is a regular closed-book test, and is to be taken without th
Student name:
Earlham College
MATH 288: Sophomore Seminar
Spring 2011
Test 1 - In class part
February 21, 2011
Instructions:
Answer all questions on separate paper (not on this sheet!).
This part is a regular closed-book test, and is to be taken without
Student name:
Earlham College
MATH 288: Sophomore Seminar
Spring 2012
Test 1 - In class part
February 23, 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
This part is a regular closed-book test, and is to be taken without
Student name:
Earlham College
MATH 288: Sophomore Seminar
Spring 2011
Final exam - In class part
May 4, 2011
Instructions:
Answer all questions on separate paper (not on this sheet!).
This part is a regular closed-book test, and is to be taken without t
Quiz 2 - 2/09/2012
No reference materials permitted.
Give a mathematically precise denition for the following terms. Dene any technical
words used in your denition, and include any context needed for your denition to
make sense.
1. Relation.
2. Equivalenc
Quiz 3 - 3/08/2012
Give a mathematically precise denition for each of the following terms. In each case,
be sure to clarify any needed context. [Example of needed context: If you are trying
to dene relation, be sure to indicate the sets that your relation
Quiz 4 - 4/19/2012
No reference materials permitted.
Give a mathematically precise and complete statement of each of the following
(1) The denition of equal cardinality.
(2) The principle of mathematical induction.
Solution
(1) Sets A and B have equal car
Quiz 1 - 1/25/2012
No reference materials permitted.
(I) Negate the following statements. Negation must be written in complete words
and sentences, with sparing use of symbolism. You may use the standard arithmetic
symbols used in the questions themselves