Week 1
[Sept 2, 4]

Introduction to Numbers and Vectors
W: course introduction, number systems incl. complex numbers, induction
    (Appendices A, B, C - up to page 652)
F: proof by induction continued (Appendix B)
Week 2
[Sept. 7, 9, 11]

Matrices
M: vector arithmetic (1.1), dot product (1.2), matrices and matrix operations (3.1)
W: more on matrices, matrix algebra (3.1, 3.2)
F: properties of transpose, special types of matrices (3.2)

Week 3
[Sept. 14, 16, 18]

Systems of Linear Equations
M: inverse of a matrix (3.3)
W: intro to systems of equations (2.1)
F: methods for solving linear systems (2.2)

Week 4
[Sept. 21, 23, 25]

Exam 1

Applications of Solving Linear Systems
M: more on solving linear systems, rank, homogeneous systems (2.2)
W: span and linear independence (2.3)
F: matrix inverses, revisited, and fundamental theorem of inverses (3.3) and exam out


Week 5
[Sept. 28, 30, Oct. 2]

Vector Spaces and Linear Transformations
M: subspaces, bases, dimension and rank (3.5)
W: linear transformations (3.6)
F: determinants (4.2) and discussion of exam

Week 6
[Oct. 5, 7, 9]

Eigenvalues and Eigenvectors
M: determinants cont. (4.2) and cross product,
W: introduction to eigenvalues and eigenvectors (4.1, 4.3)
F: eigenvalues and eigenvectors (4.3)

Week 7
[Oct. 12, 14, 16]

Exam 2

Similarity and Diagonalization
M: similarity and diagonalization (4.4)
W: course conclusions, review and exam out
F: fun topic