MATH 3181 Course Outline
Math 3181: Fundamental Concepts of Geometry Sample Course Outline and Schedule
| Week | Sections | Topics |
| week 1 | chapter 1: 1 – 2 | Introduction, Euclid’s Elements, Constructions |
| week 2 | chapter 1: 2 – 3 | Euclid’s Elements, Constructions |
| week 3 | chapter 1: 3 – 4 | Euclid’s Elements, Constructions |
| week 4 | chapter 1: 4 chapter 2: 6 | Constructions Incidence Geometries |
| week 5 | chapter 2: 6 – 9 | Hilbert Axioms Review for Test 1 |
| week 6 | chapter 2: 6 – 9 | Test 1 Hilbert Axioms |
| week 7 | chapter 2: 10 – 12 | Planes, Intersections of Lines and Circles |
| week 8 | chapter 3: 13 – 15 | Cartesian Plane, Fields, Incidence, Betweenness |
| week 9 | chapter 3: 16 – 18 | Congruence, SAS, non-Archimedean Geometry |
| week 10 | chapter 4 | Line Segments, Similar Triangles, Coordinates Review for Test 2 |
| week 11 | chapter 5: 22 | Test 2 Area |
| week 12 | chapter 5: 23 – 24 | Area, Dissection |
| week 13 | chapter 5: 25 – 27 | Quadratura Circuli, Volume, Hilbert’s 3rd Problem |
| week 14 | chapter 6: 28 – 31 | Constructions, Equations |
| week 15 | chapter 7: 33 – 43 | Non-Euclidean Geometries, Circular Inversion, Di- gression, the Poincare model, Hyperbolic Geometry |
| week 16 | chapter 8 | Polyhedra Review for final exam |