- Video: Isomorphisms (Abstract Algebra)
- Homework: Chapter Three.I.1 Isomorphisms: Definition and Examples p.180-183
- Homework: Chapter Three.I.2 Dimension Characterizes Isomorphism p.189-190

- Video: Homomorphisms (Abstract Algebra)
- Video: Lecture 6: Column space and nullspace
- Homework: Chapter Three.II.1 Homomorphisms p.196-199
- Homework: Chapter Three.II.2 Range Space and Null Space p.208-211

- Homework: Chapter Three.III.1 Representing Linear Maps with Matrices p.219-222
- Homework: Chapter Three.III.2 Any Matrix Represents a Linear Map p.228-231

- Video: Matrix multiplication as composition
- Video: Three-dimensional linear transformations
- Homework: Chapter Three.IV.1 Matrix Operations: Sums and Scalar Products p.234-235
- Homework: Chapter Three.IV.2 Matrix Multiplication p.241-244

- Video: Inverse matrices, columns space, and null space
- Homework: Chapter Three.IV.3 Mechanics of Matrix Multiplication p.251-254
- Homework: Chapter Three.IV.4 Inverses p.260-261

- Video: Change of Basis
- Homework: Chapter Three.V.1 Change of Basis: Changing Representations of Vectors p.265-267
- Homework: Chapter Three.V.2 Changing Map Representations p.273-274

- Video: Lecture 14: Orthogonal vectors and subspaces
- Video: Lecture 15: Projections onto subspaces
- Video: Lecture 16: Projection matrices and least squares
- Video: Lecture 17: Orthogonal matrices and Gram-Schmidt
- Homework: Chapter Three.VI.1 Projection: Orthogonal Projection Into a Line p.278-279
- Homework: Chapter Three.VI.2 Gram-Schmidt Orthogonalization p.283-285

- Homework: Chapter Three.VI.3 Projection Into a Subspace p.291-294
- Milestone: Complete Chapter Three

- Semester 1 Final Exam Review

- Semester 1 Final Exam