Daesung Kim
MATH 403: Euclidean Geometry  (Fall 2021)

Course Information

Tentative Schedule

Note Date Topic Assignments
W1 8/23 Course Overview; Section 1.1-3
8/25 Equation of a line (Sec 1.4-5)
8/27 Parallelograms (Sec 1.6)
W2 8/30 Centroid of a triangle (Sec 1.7)
9/1 Centroid of a finitely many points (Sec 1.8) Quiz 1 Solution
9/3 Centroid of mass-points (Sec 1.10) HW 1, Solution
W3 9/6 Labor Day (No Class)
9/8 Barycentric coordinates (Sec 1.11) Quiz 2 Solution
9/10 Theorem of Ceva (Sec 1.12) HW 2, Solution
W4 9/13 Theorem of Menelaus (Sec 1.12)
9/15 Theorem of Pappus (Sec 1.13) Quiz 3 Solution
9/17 Translation (Sec 2.1) HW 3, Solution
W5 9/20 Review
9/22 Midterm 1 Info Solution
9/24 Central dilatation (Sec 2.2)
W6 9/27 Translations and Central dilatation (Sec 2.1-2)
9/29 Central dilatation (Sec 2.2) Quiz 4 Solution
10/1 Applications and Central reflections (Sec 2.2-3) HW 4, Solution
W7 10/4 Groups I (Sec 2.6)
10/6 Groups II (Sec 2.6) Quiz 5 Solution
10/8 Groups of transformations (Sec 2.4-5)
W8 10/11 Groups of transformations (Sec 2.4-5) HW 5, Solution
10/13 Scalar products and orthogonality (Sec 3.1-2) Quiz 6 Solution
10/15 Circumcenters (Sec 3.2) HW 6, Solution
W9 10/18 Review Practice problems
10/20 Midterm 2 Info Solution
10/22 Orthocenters (Sec 3.2)
W10 10/25 Circles (Sec 3.3)
10/27 Nine-Point Circle Theorem I (Sec 3.3) Quiz 7 Solution
10/29 Nine-Point Circle Theorem II (Sec 3.3) HW 7, Solution
W11 11/1 Cauchy-Schwarz inequality (Sec 3.4)
11/3 Projections (Sec 3.5) Quiz 8 Solution
11/5 Angles and Equation of a line (Sec 3.6-7) HW 8, Solution
W12 11/8 Isometries (Sec 4.1)
11/10 Isometry Group (Sec 4.2) Quiz 9 Solution
11/12 Fixed points of Isometries (Sec 4.2) HW 9, Solution
W13 11/15 Review Practice problems
11/17 Midterm 3 Info Solution
11/19 Reflection (Sec 4.3)
W14 11/22-26 Fall Break
W15 11/29 Central Reflection, Unique fixed points (Sec 4.4-6)
12/1 Translation, Rotation (Sec. 4.7-8) Quiz 10 Solution
12/3 Glide reflection, Classification (Sec 4.9-10)
W16 12/6 Review Practice problems for Final HW 10, Solution
12/8 Review
12/10 Final Exam at 9am-10:40am Info Solution