M1 Study Guide

# M1 Study Guide - Math 403 Study Guide for Midterm 1...

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Math 403 Study Guide for Midterm 1 Syllabus: Section 1.5, 1.6 [Axiom systems] Section 2.1, 2.2, 2.5, 2.6 [Euclidean geometry] Section 3.1, 3.2 [Cartesian coordinate system and vectors] Warning: The following list is only a summary of the main points we’ve covered so far. It should not be the sole source you consult in preparation for the midterm. There’s no substitute for reading the book, reviewing your class notes, and doing plenty of practice exercises. Concepts and definitions: You should understand these and be able to define or explain them Axiom systems o Axiom o Axiom system o Theorem o Consistency o Independence o Completeness Euclidean geometry o Line segment o Ray o Angle o Vertical angle o Supplementary angle o Right angle o Parallel lines o Triangle o Circle o Congruence for line segments, angles, triangles o Similar triangles o Tangent to a circle o Angle of intersection of two circles o Circle inversion Analytic geometry o Cartesian coordinates and vectors in the plane o Addition and scalar multiplication of vectors o Length of a vector

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## This note was uploaded on 08/08/2009 for the course MATH 1 taught by Professor Malkin during the Spring '09 term at University of Illinois at Urbana–Champaign.

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M1 Study Guide - Math 403 Study Guide for Midterm 1...

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