Complete Set of Algebra I Notes in One File (PDF - 2.8MB), TEX files and associated images (ZIP)
Lecture 2: Subgroups and Cyclic Groups (PDF) (TEX)
Lecture 3: Homomorphisms and Isomorphisms (PDF) (TEX)
Lecture 4: Isomorphisms and Cosets (PDF) (TEX)
Lecture 5: The Correspondence Theorem (PDF) (TEX)
Lecture 6: Normal Subgroups and Quotient Groups (PDF) (TEX)
Lecture 7: Fields and Vector Spaces (PDF) (TEX)
Lecture 8: Dimension Formula (PDF) (TEX)
Lecture 9: Dimension Formula (continued) (PDF) (TEX)
Lecture 10: Eigenbases and the Jordan Form (PDF) (TEX)
Lecture 11: The Jordan Decomposition (PDF) (TEX)
Lecture 12: Orthogonal Matrices (PDF) (TEX)
Lecture 13: Isometries (PDF) (TEX)
Lecture 14: Symmetry Groups (PDF) (TEX)
Lecture 15: Finite and Discrete Subgroups (PDF) (TEX)
Lecture 16: Discrete Groups (PDF) (TEX)
Lecture 17: Group Actions (PDF) (TEX)
Lecture 18: Stabilizer (PDF) (TEX)
Lecture 19: Group Actions on G (PDF) (TEX)
Lecture 20: The Icosahedral Group (PDF) (TEX)
Lecture 21: Conjugacy Classes for Symmetric and Alternating Groups (PDF) (TEX)
Lecture 22: The Sylow Theorems (PDF) (TEX)
Lecture 23: Proofs and Applications of the Sylow Theorems (PDF) (TEX)
Lecture 24: Bilinear Forms (PDF) (TEX)
Lecture 25: Orthogonality (PDF) (TEX)
Lecture 26: The Projection Formula (PDF) (TEX)
Lecture 27: Euclidean and Hermitian Spaces (PDF) (TEX)
Lecture 28: The Spectral Theorem (PDF) (TEX)
Lecture 29: Linear Groups (PDF) (TEX)
Lecture 30: The Special Unitary Group \(SU_2\) (PDF) (TEX)
Lecture 31: One-Parameter Subgroups (PDF) (TEX)
Lecture 32: One-Parameter Subgroups (cont.) (PDF) (TEX)
Lecture 33: Lie Groups (PDF) (TEX)
