Martin Flashman's Courses Math 381
MATH 381 (1 unit) TUTORIAL IN WRITING
Tentative Assignments In Solow, How to read and Do Proofs, 4th Edition [old 3rd
Edition] M. Flashman
Fall, 2007 [In revision!]

First week: Read Solow: To the Student,
ch 13. and Chapter 13 Summary.
Read and outline
3 editorials from NYTimes.
 First and Second week :
Do: 1.11.8; 2.3,2.4,2.7, 2.9(a,b)

Due : Read Handouts.
Bring 2 definitions
(one you like, and one you don't like) for a 1:1
function and an onto function.
Consider what makes a definition effective for you.
Review Ch 3 in Solow.
Do: Solow: 2.19; 3.1,3.2, 3.3

Due : Review Ch. 4. Read Solow Ch. 5
Do: Solow 3.93.11,3.15;
Look atDo: 4.1,4.2,4.4,4.5, 4.7, 4.8
Use the definition of 1:1 to prove a) f(x) = 3x+5 is 1:1 and
b) f(x)= 3x^{2} + 5 is not 1:1.
Use the definition of onto to prove a) f(x) = 3x+5 is onto
and
b) f(x)= 3x^{2} + 5 is not onto.
We will continue a disucussion of definitions
, especially with regard to 1:1 and onto functions
 Due . Read 5 [If you have time:Read Solow Ch 8 and 9.]
We will discuss problems from ch 4 and 5, 1:1 and onto with regard
to the choose method of ch 5.
 Due : Read Solow Ch 5, 7, 8, [8]Do: Solow 5.1,5.2, 5.5 ,5.6, 5.7, 5.9, 5.11
Rewrite proofs of 1:1 and onto.

Due : Read
7,8,9
We will begin indirect proofs. [Contradiction and Contrapositive methods.]
Read / Do: Solow: 7.3,7.7 ,8.1, 8.3, 8.7,
8.8, 8.11; 9.1,9.3
Nested quantifiers....(Problems Not done)
 Due : Continue with indirect proofs and the Knot of nots. Read 8,9 and 10.
Do: Solow: 9.7, 9.8, 9.11,10.1,10.2,10.5, 10.710.10;

Due : read ch 11, pp 133141, ch 7, Specialization, Uniqueness, [and Alternatives.
Do: 10.2, 10.3, 10.5, 10.7, 10.8, 11.1, 11.3;
11.4, 11.5,12.112.4, 12.9
Specialization, Uniqueness, and Alternatives.

Due ch.6. Induction.
Do: 11.4,11.5,12.112.4, 12.9; 7.3, 7.5, 7.6