Tutorials

(Geometry of complex numbers and quaternions)

WEEK 1 : Exer 1.1.1 - Exer 1.1.5, Exer 1.2.4 - Exer 1.2.5, Exer 1.3.1 - Exer 1.3.4, Exer 1.4.1 - Exer 1.4.4, Exer 1.5.1 - Exer 1.5.6 (21).

(Groups)

WEEK 2 : Exer 2.1.1 - Exer 2.1.6, Exer 2.2.1 - Exer 2.2.5, Exer 2.4.1 - Exer 2.4.4, Exer 2.5.1 - Exer 2.5.4, Exer 2.6.1 - Exer 2.6.5, Exer 2.7.1 - Exer 2.7.5  (29).

(Generalized rotation groups)

WEEK 3 : Exer 3.1.1 - Exer 3.1.3, Exer 3.2.1 - Exer 3.2.3, Exer 3.3.1 - Exer 3.3.6, Exer 3.4.1 - Exer 3.4.6 (18).

WEEK 4 : Exer 3.5.1 - Exer 3.5.6, Exer 3.6.1 - Exer 3.6.4, Exer 3.7.1 - Exer 3.7.4, Exer 3.8.1 - Exer 3.8.3 (17).

(The exponential map)

WEEK 5 : Exer 4.1.1 - Exer 4.1.4, Exer 4.2.1 - Exer 4.2.3, Exer 4.3.1 - Exer 4.3.5, Exer 4.4.1 - Exer 4.4.4, Exer 4.5.1 - Exer 4.5.6, Exer 4.6.1 - Exer 4.6.3 (25).

(The tangent space)

WEEK 6 : Exer 5.1.1 - Exer 5.1.2, Exer 5.2.1 - Exer 5.2.8, Exer 5.3.1 - Exer 5.3.7, Exer 5.4.1 - Exer 5.4.5, Exer 5.5.1 - Exer 5.5.4, Exer 5.6.1 - Exer 5.6.8 (34).

(Structure of Lie algebras)

WEEK 7,8 : Exer 6.1.1 - Exer 6.1.4, Exer 6.2.1 - Exer 6.2.3, Exer 6.3.1 - Exer 6.3.5, Exer 6.4.1 - Exer 6.4.4, Exer 6.5.1 - Exer 6.5.6, Exer 6.6.1 - Exer 6.6.6 (28).

(The matrix logarithm)

WEEK 9,10 : Exer 7.1.1 - Exer 7.1.4, Exer 7.1.6, Exer 7.2.1 - Exer 7.2.6, Exer 7.3.1 - Exer 7.3.2, Exer 7.4.1 - Exer 7.4.2, Exer 7.5.1 - Exer 7.5.4, Exer 7.6.1 - Exer 7.6.4, Exer 7.7.1 - Exer 7.7.2 (24).

(Topology)

WEEK 11 : Exer 8.1.1 - Exer 8.1.6, Exer 8.2.1 - Exer 8.2.4, Exer 8.3.1 - Exer 8.3.4, Exer 8.4.1 - Exer 8.4.5, Exer 8.6.1 - Exer 8.6.2, Exer 8.7.1 - Exer 8.7.5 (26)

(Simply connected Lie groups)

WEEK 12,13 : Exer 9.1.1 - Exer 9.1.4, Exer 9.2.1 - Exer 9.2.3, Exer 9.3.1. - Exer 9.3.4, Exer 9.4.1 - Exer 9.4.2 (13).

(235 exercises)