This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Math 374, Final Exam Information. Wednesday, April 29, 2  5 pm, LC 405. The Final Exam will be based on: • Sections 1.1  1.6; 2.1  2.6; 3.1  3.4; 3.6, 4.1, 4.4. • The corresponding assigned homework problems (see http://www.math.sc.edu/ ∼ boylan/SCCourses/374Sp09/374.html). At minimum, you need to understand how to do the homework problems. Useful materials: • Exams 1, 2, 3 and their solutions. • Quizzes 1 9 and their solutions. New Topic List (not necessarily comprehensive): (Consult review handouts for Exams I, II, III for a list of old topics.) You will need to know how to define vocabulary words/phrases defined in class . § 4.1 : Relations: A relation on a set S is a subset ρ ⊆ S × S . We say that a is related to b by ρ if ( a,b ) ∈ ρ (we also write aρb ). (More generally, one can study nary relations ρ ⊆ S 1 × ··· × S n .) Properties. • Reflexivity : ρ is reflexive if and only if ∀ s ∈ S , we have ( s,s ) ∈ ρ . • Symmetry : ∀ s 1 ,s 2 ∈ S , if ( s 1 ,s 2 ) ∈ ρ , then ( s 2 ,s 1 ) ∈ ρ . • Antisymmetry : ∀ s 1 ,s 2 ∈ S with ( s 1 ,s 2 ) ∈ ρ and ( s 2 ,s 1 ) ∈ ρ , we must have s 1 = s 2 ....
View
Full Document
 Spring '09
 Boyan
 Equivalence relation, Inverse function

Click to edit the document details