Topics in Geometry

ma541 - f25

class notes & exercises

week 1
- monday notes · class · video
- wednesday notes · class · video
- exercises: p. 24 - 1,2,3,Prove that ultimate equality is an equivalence relation. [due: 9/1]
week 2
- wednesday notes · class · video
- reading: Ch. 4-5
- exercises: p. 83-85, 3,4,10 [due: 9/15]
week 3
- monday notes · class · video
- wednesday notes · class · video
- reading: Ch. 4-5
- exercises: p. 83-8[due: 9/15] · solutions
week 4
- monday notes · class · video · hint
- wednesday notes class · video
week 5
- monday notes · class · video
- wednesday class · video
- geometry of the chain rule
- reading: Ch. 10-12
- exercises: p. 92 - 29,32 (for #32, what is the geometric significance of the r coordinate?)
week 6
- monday notes · class · video 1 · video 2
- wednesday class · video
- reading: Ch. 12-15
- exercises: p. Chapter 20, #5 and ellipse Desmos exercise.
week 7
- monday class · video
- wednesday class · video malfunction, so sorry
- orientation of gauss map in negative curvature video
- reading: Ch. 16
- exercises: p. Chapter 20, #’s 7,15,19
week 8
- monday class · video 1 · video 2
- wednesday notes · video 1 · video 2
- reading: Ch. 16-17
- exercises: p. Chapter 20, #’s 7,15,19 (due Friday)