Differential geometry (sweet topic) employs the principles of calculus, both differential and integral as well as multilinear algebra to provide answers to geometry problems. You are challenged to attempt this quiz if you think you understand the tenets of differential geometry. Still, a word of advice—you should ready yourself.
Theory of surfaces
Theory of plane curves
Theory of space curves
Theory of dimensional shapes
Plane geometry
Differential topology
Differential equations
Surface geometry
Riemannian geometry
Finsler geometry
Symplectic geometry
Plane geometry
Area of plane regions
Volume of solids
Arc length of curves
Circumferences
Lorentzian manifold
Metric tensor
Finslar manifold
Differential manifold
Complex manifolds
Symplecfic manifolds
Riemannian manifolds
Lorentzian manifold
Vector bundles
Principal bundles
Metric tensor
Connections
Electromagnetism
Thermodynamics
Gravitational lensing
Optics
Computer vision
Informtion theory
Structural geology
Sattelite communication
Trigonometry
Calculus
Probability
Logarithms