Math 60-Rumbos                                                                                                       Fall 2014

Tentative Schedule of Lectures and Examinations

Date Topic

W        Sep.   3            Introduction: Euler’s Theorem on the Axis of Rotation

F          Sep.   5            n-dimensional Euclidean space

M         Sep.   8            Linear space structure in Euclidean space

W        Sep. 10            Linear combinations and spans

F          Sep. 12            Linear independence

M         Sep. 15            Subspaces

W        Sep. 17            Subspaces (continued): Spans and generating sets

F          Sep. 19            Generating sets (continued): Linear independence and bases

M         Sep. 22            Connections with the theory of systems of linear equations

W        Sep. 24            Bases and coordinates

F          Sep. 26            Euclidean inner product and norm

M         Sep. 29            Orthogonality

W        Oct.   1             Linear transformations between Euclidean spaces

F          Oct.   3            Matrix representation of a linear transformation

M         Oct.   6             Matrix representation of a linear transformation (continued)

W        Oct.   8                        Matrix algebra

F          Oct. 10                        Matrix algebra (continued)

M         Oct. 13                        Invertible matrices

W        Oct. 15                        Review

F          Oct. 17                        Exam 1

M         Oct. 20                        Fall Recess

W        Oct. 22                        Linear transformations

F          Oct. 24                        Dimension theorem for linear transformations

M         Oct. 27                        Matrix representation of linear transformations

W        Oct. 29                       Compositions of linear transformations and matrix multiplication

F          Oct. 31                        Orthogonal Transformations

Math 60-Rumbos                                                                                                       Spring 2013

Date Topic

M         Nov.   3           Orthogonal transformations (continued)

W        Nov.   5           Areas, volumes and determinants

F          Nov.   7           Areas, volumes and determinants (continued)   

M         Nov. 10           Orientation

W        Nov. 12           Orientation (continued)

F          Nov. 14           Geometric transformations

M         Nov. 17           Similarity and diagonalization

W        Nov. 19           Diagonalization (continued)

F          Nov. 21           The eigenvalue problem

M         Nov. 24           The eigenvalue problem (continued)

W        Nov. 26           Problems

F          Nov. 28           Thanksgiving Recess

M         Dec.  1             Euler’s Theorem on the Axis of  Rotation Theorem

W        Dec.  3             Review

F          Dec.  5             Exam 2

M         Dec.  8             Review

W        Dec. 10            Review

M         Dec.  15           Final Exam