Dr. Sarah's
Differential Geometry (video slides, interactions and more...) - Spring 2026
All activities are in ASULearn. The best way to contact me is
during office hours or on the ASULearn need help forum, as I usually
check the posts daily, even on weekends.
- 5530 Syllabus and Grading Policies
- What is Due When?
- course intro interactive video slides
multivariable calculus review handwrite
- differential geometry of lines and Maple intro interactive video slides Maple interactions
curvatures handwrite
- investigating the tractrix interactive video slides Maple interactions
investigating curves handwrite Maple file
- arc length, tangent, velocity, speed, acceleration, and jerk interactive video
slides Maple interactions
arc length, tangent, velocity, speed, acceleration, and jerk handwrite Maple file
- TNB 1, kappa, tau, osculating circle and plane interactive video slides Maple interactions
TNB 1 handwrite Maple file
- TNB 2: TNB derivatives interactive video slides Maple interactions
TNB 2 handwrite
- curvature and torsion applications 1 interactive video slides interactions
curvature and torsion applications 1 handwrite
- curvature and torsion applications 2: helix and strake interactive video slides
Maple interactions
curvature and torsion applications 2 handwrite
- surfaces, geodesics and coverings interactive video slides
Maple interactions
cone handwrite
- coordinates, U, normal curvature and geodesic curvature interactive video slides
Maple interactions
sphere handwrite Maple file
- speed of a geodesic, curvatures and classifications interactive video slides Maple
interactions
holey donuts handwrite
- first fundamental form interactive video slides Maple interactions
first fundamental form handwrite
- shape operator interactive video slides Maple interactions
shape operator handwrite
- second fundamental form, K, H and Gauss's Theorema Egregium interactive video slides interactions
II, Gauss and mean curvature handwrite
- surface area interactive video slides Maple 1
Maple 2 interactions
surface area and matching handwrite
- Gauss-Bonnet interactive video slides interactions
Gauss-Bonnet handwrite
- surfaces not embedded interactive video slides
Maple interactions
surfaces not embedded handwrite
- geodesic equations, Christoffel symbols, tensors, and spacetime interactive video slides Maple interactions
curvatures and Christoffel Symbols of the Poincaré upper-half plane handwrite
- Minkowski spacetime and Christoffel computations interactive video slides interactions
spacetime and metric form research handwrite
- spacetime metrics, Christoffel symbols and relativity interactive video slides Maple interactions
curvatures and Christoffel symbols of a modified Brenton universe handwrite
- general relativity and the field equations interactive video slides interactions
relativity and concluding handwrite