Week  Topics  Study Materials  Materials 
1 
General concepts of geometry. Coordinates in Euclidean space.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

2 
Riemannian metric. PseudoEuclidean space and Lobachevsky geometry.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

3 
Flat curves. Space curves.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

4 
The theory of surfaces in threedimensional space. The concept of area.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

5 
Curvature. The second fundamental form.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

6 
1st Midterm


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

7 
Gaussian curvature. Invariants of a pair of quadratic forms.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

8 
Euler’s theorem.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

9 
Complex analysis and geometry.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

10 
Conformal transformations.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

11 
Isotermal coordinates.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

12 
2nd Midterm


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

13 
The concept of a manifold.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

14 
Geodesics.


Do Carmo, M.P., “Differential Geometry of Curves and Surfaces”, PrenticeHall, 1976

15 
Final 1st week



16 
Final 2nd week


