Define a vector space. Is a vector space a group and/or an abelian group with respect to vector addition? Is a vector space a ring, integral domain, and/or field with respect to addition and scalar multiplication?
UNIVERSITY DEPARTMENT OF MATHEMATICS Comprehensive Research Questions The questions that follow are designed to assess: CONTENT: Your understanding of important concepts and mathematical techniques taught in the required courses in the major. ANALYSIS: Your ability to see the connectivity (internal links) among the different areas of mathematics. RESEARCH: Your aptitude for extending your mathematical repertoire […]