Unit: Matrices and Vectors

Matrix Manipulations (45 minutes)

Introduction to Bra-ket notation (15 minutes)

Unit: Operators and Transformations in Linear Systems

Linear Transformations (1 1/2 hr)

Tangible Metaphor for Complex Vectors (10 minutes)

Properties of Linear Vector Spaces (30 min)

Inner Products and Norms

  • Calculating Inner Products and Normalization of Vectors (Lecture, ?? minutes)

FIXME Write these lecture notes. Emphasize complex vectors.

Matrix Components (40 min)

Rotation Matrices in 2 and 3 Dimensions (10 min)

Unit: Eigenvalues and Eigenvectors

Eigenvalues & Eigenvectors (2 hr)

Special Properties of Hermitian Matrices (40 min)

Commuting Matrices (10 min)

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