| MATH 3581 | Univ Memphis | ||||||
| College Geometry | Schedule of Lectures and Exams | Dept Math Sci | |||||
| Spring 2011 | Dwiggins | ||||||
| MONDAY | WEDNESDAY | FRIDAY | |||||
| Jan 14 | Read §§ 1.1-5 | ||||||
| Introduction, | |||||||
| Overview of | |||||||
| the Course | |||||||
| Jan 21 | Jan 19 | Jan 21 | Read Chapter 7 | ||||
| §§ 1.1-3 | The Propositional | §§ 1.4-5 | Systems of | ||||
| KING DAY | Calculus | Postulates | |||||
| Jan 24 | HW # 1 Due | Jan 26 | Jan 28 | ||||
| §§ 7.1-3 | Postulates of | § 7.4 | Euclid's Elements | High School Geometry | |||
| Euclidean | Book I: 1-4 | Circles and Triangles | |||||
| Geometry | Congruence Theorems | ||||||
| Jan 31 | Feb 2 | Feb 4 | |||||
| Theorems on | Theorems on | Theorems of | |||||
| Concyclic Points | Concurrent Lines | Ceva and | |||||
| and Inscribed Figures | in a Triangle | Menelaus | |||||
| Feb 7 | HW # 2 Due | Feb 9 | Feb 11 | ||||
| The Nine-Point | Exercises in | ||||||
| Circle | Euclidean | REVIEW | |||||
| Geometry | |||||||
| Feb 14 | MidTerm Exam # 1 | Feb 16 | Feb 18 | ||||
| Part I: | §§ 7.6-7 | Geometric | Constructible | ||||
| Euclidean | Constructions | Numbers | |||||
| Geometry | |||||||
| Feb 21 | Feb 23 | Feb 25 | Read Chapter 2 | ||||
| Constructible | Regular Polygons | §§ 1.6-7 | Finite | ||||
| Angles | and Polyhedra | Geometries | |||||
| Feb 28 | HW # 3 Due | Mar 2 | Mar 4 | ||||
| §§ 2.1-2 | Introduction to | §§ 2.3-4 | Geometric Figures | §§ 7.8-11 | Modern Results | ||
| Projective | and Duality | from Euclidean | |||||
| Geometry | Geometry | ||||||
| Mar 7 | Mar 9 | Mar 11 | |||||
| SPRING BREAK | |||||||
| Mar 14 | HW # 4 Due | Mar 16 | Mar 18 | Read Chapter 3 | |||
| §§ 2.5-6 | Perspectivities | §§ 2.6-7 | Fundamental | §§ 2.8-9 | Complete | ||
| and | Theorem of | Quadrangles | |||||
| Projectivities | Projective Geometry | ||||||
| Mar 21 | Mar 23 | Mar 25 | |||||
| §§ 2.10-11 | Theorems of | §§ 3.1-3 | Harmonic | §§ 3.4-6 | Projective | ||
| Desargues | Sets | Postulates of | |||||
| and Pappus | Measure | ||||||
| Mar 28 | HW # 5 Due | Mar 31 | April 1 | ||||
| §§ 3.7-8 | Projective | §§ 2.12-13 | Conic | ||||
| Coordinate | Sections | REVIEW | |||||
| Systems | |||||||
| Apr 4 | MidTerm Exam # 2 | Apr 6 | Apr 8 | Read Chapter 6 | |||
| Part II: | §§ 5.1-3 | Affine | §§ 5.4-7 | Affine | |||
| Projective | Geometry | Transformations | |||||
| Geometry | |||||||
| Apr 11 | Apr 13 | Apr 15 | Read Chapter 8 | ||||
| §§ 6.1-2 | Geometric | §§ 6.3-4 | Matrix Equations | Fundamental | |||
| Transformations | for Rigid | Theorem of | |||||
| (Isometries) | Motions | Euclidean Geometry | |||||
| Apr 18 | HW # 5 Due | Apr 20 | Apr 15 | ||||
| Symmetry | §§ 8.1-2 | Noneuclidean | § 8.3 | Hyperbolic | |||
| Groups | Geometries | Geometry | |||||
| Apr 25 | Apr 27 | Final Exam | |||||
| § 8.4 | Elliptic | Monday, May 2 | |||||
| Geometry | REVIEW | 10:30 a.m. - 12:30 p.m. | |||||
| MATH 3581 Home Page | |||||||