Math 451 – Fall 2015 SYLLABUS Syllabus MATH 451 BOOK: INTRODUCTION TO GEOMETRY Cover Page Chapter 0: Mathematical Background: Properties of Functions Chapter 1: Metric Spaces Chapter 2: Isometries and Rigid Motions of the Real Line Chapter 3: Congruence and Symmetry Chapter 4: Euclidean Spaces Chapter 5: Lines and Hyperplanes Chapter 6: Isometries of Euclidean Spaces