Proposed Syllabus

Sources

Comments/Topics

Lecture 1

Euclid I.1

Overview, straightedge and compass

Lecture 2

Euclid I.9, I.10

Bisecting segments and angles

Lecture 3

Euclid I.11, I.22

Segments & perpendiculars

Lecture 4

Euclid I.23, I.31

Triangles, angles

Lecture 5

Euclid III.1+17, IV.4+55    

Circles, centers, tangents, triangles

Midterm I

Lecture 6, 7

Stillwell Ch. 1

Euclid's constructions, numbers

Lecture 8, 9    

Stillwell Ch. 2

Axiomatic systems, areas

Lecture 10, 11

Stillwell Ch. 2

Proofs

Lecture 12

The coordinatized plane

Midterm II

Lecture 13, 14

Stillwell Ch. 4

Vectors and Euclidean spaces

Lecture 15, 16

Stillwell Ch. 4

Vector operations

Lecture 17, 18

Stillwell Ch. 5

Perspective

Lecture 19

Stillwell Ch. 6

Projective planes

Midterm III

Lecture 20, 21

Stillwell Ch. 7

Transformations

Lecture 22, 23, 24      

Stillwell Ch. 8

Non-Euclidean geometry

Final Exam

Lecture 25

Optional student presentations