Dr. M. P. M. M. McLoughlin

 Math 224
Foundations of Mathematics

Worksheets

This page contains links to the handouts for Math 224. If a student has missed class or wishes an extra copy of a handout he may download the following worksheets. [Note: review download instructions from index page]:

0.            Worksheet 0 (Inductive Reasoning)       [PDF]      

1.            Worksheet 1 (Foundational Concepts)       [PDF]      

A.            Worksheet A (Logic Truth Values and Tables)       [PDF]      

B.            Worksheet B (Logic Truth Values and Tables, part 2)       [PDF]     

C.            Worksheet C (Logic Truth Values and Tables, part 3)       [PDF]      

 2.           Worksheet 2 (Logic Proofs or Counterexamples)       [PDF]      

D.            Worksheet D (Arguments)       [PDF]      

E.           Worksheet E (More Logic Proofs or Counterexamples)       [PDF]        

F.           Worksheet F (Even More Logic Proofs or Counterexamples)       [PDF]      

1AA      Worksheet 1AA Set Operations       [PDF]      

G.           Worksheet G (Sets)       [PDF]      

H.           Worksheet H (A Number Theoretic Claim -- Prove or Disprove)       [PDF]      

2 ½   Worksheet 2.5 Venn Diagrammes       [PDF]     

I.           Worksheet I (Beginning Sets and Number Theoretic Claims)       [PDF]      

I-2.           Worksheet I-2 (Beginning Sets and Analytic Claims)       [PDF]    

J.           Worksheet J (Yet More Beginning Sets and Analytic Claims)       [PDF]      

3.           Worksheet 3 (Mathematical Induction)       [PDF]      

B.           Worksheet B-2 (Quantification)       [DOC]      

4.           Worksheet 4 (Product Sets - Computational)       [PDF]      

5.           Worksheet 5 (Product Sets)       [PDF]      

6.           Worksheet 6 (Relations: Inverses and Compositions)       [PDF]      

7.           Worksheet 7 (Relations: Partial Order on a Set)       [PDF]      

8.           Worksheet 8 (Relations: Partial Order on a Set)       [PDF]      

9.           Worksheet 9 (Functions, part I)       [PDF]      

10.           Worksheet 10 (Functions, part II)       [PDF]      

 11.           Worksheet 11 (Functions, part III)       [PDF]      

 

12 - 1.           Worksheet 12-1 (Basic relations)       [PDF]      

12 - 2.           Worksheet 12-2 (more Basic relations)       [PDF]      

12 - 3.           Worksheet 12-3 (Relations, Partial Orders, and Equivalence Relations)       [PDF]      

12 - 4.           Worksheet 12-4 (Relations, Partial Orders, Equivalence Relations, and Functions)       [PDF]      


  Last updated: 11 Mar. 2016                        

© 1999 - 2016,  M. P. M. M. McLoughlin, Ph.D.