|
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 | Stillwell Ch. 3 | 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 |
Daily homework assignments, daily office hours, lowest midterm score dropped, extra credit for student presentations
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