## Notes Information

Login / Sign Up to View Document

## Sample Document Text

Math 236 – Elementary Abstract Algebra Review for Test 1
Test 1 will consist in 4 problems and 2-3 theoretical questions (one for extra credit). Review the theory for each section, including the proofs for the theorems listed, and homework problems. 1.1 Logic and proof - Statements and non-statements; logic operations, truth tables; equivalence - Converse, contrapositive, negation; - Quantifiers, negating predicates - Structure of theorems (hypothesis, conclusion, proof); - Types of proofs: direct, indirect (contrapositive, by contradiction) 1.2 Sets - What is a set? (x∈S true or false), operations with sets (union, intersection, difference, Cartesian product); - Graphical representation (Venn diagrams) - Properties of operations: distributivity; - Families and collections of sets (Ex. partitions) 1.3 Real and complex numbers - Binary operations; R and C; closure relative + and x; order; subsets of reals - Rules for +,x on R and C: commutativity, associativity, distributivity; zero and unit; opposite and ...

## Related Documents

Particularly Notes

Identity Function Notes

Identity Function Notes

Provided That Notes

Identity Function Notes

Representative Notes

Definitions Notes

Best Wishes Notes

Either...or Notes

Theoretical Homework Notes

The Independent Notes

The Independent Notes

Opposite Rays Notes

Either...or Notes

Definitions Notes

Definitions Notes

© Copyright 2020 , Koofers, Inc. All rights reserved.

The information provided on this site is protected by U.S. and International copyright law, and other applicable intellectual property laws, including laws covering data access and data compilations. This information is provided exclusively for the personal and academic use of students, instructors and other university personnel. Use of this information for any commercial purpose, or by any commercial entity, is expressly prohibited. This information may not, under any circumstances, be copied, modified, reused, or incorporated into any derivative works or compilations, without the prior written approval of Koofers, Inc.