Schedule for Introduction to Linear Algebra
Math 40, Harvey Mudd College
Week 1
- 1.1-1.2: Vectors and Vector Spaces
- 1.2-1.3: Projections, Lines and Planes
Week 2
- 2.1: Introduction to Systems of Linear Equations
- 2.2: Direct Methods for Solving Systems of Linear Equations
- 2.3: Spanning Sets and Linear Independence
Week 3
- 3.1-3.2: Matrix Operations and Matrix Algebra
- 3.3: The Inverse of a Matrix
- 3.3: The Inverse of a Matrix (cont.)
Week 4
- 3.5: Subspaces, Basis, Dimension, and Rank
- 3.5: Subspaces, Basis, Dimension, and Rank (cont.)
[Take Home Midterm Out]
- 3.6: Linear Transformations
Week 5
- 4.2: Determinants
[Take Home Midterm Due]
- 4.1: Introduction to Eigenvalues and Eigenvectors
- 4.3: Eigenvalues and Eigenvectors of n x n Matrices
Week 6
- 4.4: Similarity and Diagonalization
- Coordinates, Encodings, and Change of Basis Matrices
- Review
Week 7
- Flexible
- Applications of Linear Algebra
- Applications of Linear Algebra
[take home exam out]