MIDTERM EXAM Solutions
1. October 2021
2. May 2021
OLD MIDTERM EXAM
1. April 2021
NEW LECTURES (2021)
THE LINKS ARE DISABLED; THEY WILL BE ENABLED AS THE COURSE PROGRESSES (AND THE D BESIDE THE NUMBERS WILL BE REMOVED).
1. Preliminaries ()
2. Eucllidean geometry and constructions (September 14)
Note: I shouldn't have called C the center of the circle In the last construction, as C was already taken by another point.
3. The golden ratio and related matters (Sept. 16)
4. Fibonacci numbers (Sept 23)
7. Groups of symmetries (Oct 5)
8. Groups of symmetries, frieze paterns, wallpaper designs (Oct 7).
In this second Frieze pattern I forgot to mention translations and glide reflections along negative integer multiples of v.
17. Polyhedra, Platonic solids (Nov 18)
18. Hyperbolic geometry, Part 1 (Nov 23)
19. Hyperbolic geometry, Part 2 (Nov 25)
Regarding lecture 20:
At 27:07 I said 'sphere'; I should have said "plane'.
At 32:55 I said 'square'; I should have said 'cube'.
21. ReviewPart1
22. ReviewPart2
Three old final exams:
(a) Spring 2019
(b) Fall 2019.
(c) Spring 2021
Here is a link to the webMathematica page for this course. The meaning of the scripts will be explained as we go.
And finally, the Animation Gallery that I made years ago may even show some usefulness.
Lectures
The titles in the list below will be modified as we go, and numbers of lectures listed here do not match the chronological numbers
of actual lectures.
OLD LECTURES (2020):
Lecture 1 : Overview
Lecture 2 : Some basic ruler-and-compass constructions.
Lecture 3 : The Golden Section
Lecture 4 : The Golden Section and Fibonacci numbers (the sunflowers story)
Lecture 6 : Symmetries, Tilings Similarities
Lecture 7 : Fractals
Lecture 8 : Midterm Review
Lecture 10: Conic sections Regular Polyhedra
Lecture 11: Hyperbolic Geometry 1
Lecture 12: Hyperbolic Geometry 2
Hyperbolic Geometry, Lecture 1.
Hyperbolic Geometry, Lecture 2.
© Sasho Kalajdzievski