MATH 349 Download Page

• Textbook:
• Poole, David. Linear Algebra: A Modern Introduction, 4th ed. Stamford: Cengage, 2015.
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• Suggestion Box

• Course Syllabus (size: 214K)
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• Pandemic Supplement (size: 149K) revised version posted 2/17/21
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• Mathematica Notebooks

  Vector Analysis (size: 26K) revised version posted 2/18/21

  Dot Product, Linear Systems (size: 29K) revised version posted 2/25/21

  The Matrix-Vector Form (size: 23K)

  Matrix Operations (size: 38K)

  Subspaces of a Matrix (size: 33K) revised version posted 3/26/21

  Transition Matrices and Norms (size: 27K)

  Gram-Schmidt (size: 67K) revised version posted 4/20/21

  Determinants (size: 20K) revised version posted 4/29/21

  Eigenvalues, Eigenvectors (size: 21K)

  Diagonalization (size: 18K)

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• Handouts

  Proof Techniques (size: 232K)

  Invertible Matrix Theorem (size: 218K)

  Coordinate Systems (size: 109K)

  Similarity Transformations (size: 140K)

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• Homework Sets

  Homework Set 1 (size: 173K), Solution Set (size: 275K)

  Vector analysis (parts of sections 1.1, 2.3, 3.5).

  Homework Set 2 (size: 152K), Solution Set (size: 271K)

  The dot product, systems of linear equations (sections 1.2, 2.1).

  Homework Set 3 (size: 171K), Solution Set (size: 276K)

  Solving linear systems, matrix operations (sections 2.2, 2.4, 3.1, 3.2).

  Homework Set 4 (size: 188K), Solution Set (size: 266K)

  Matrix operations, algebra, inverses (sections 3.1-3.3).

  Homework Set 5 (size: 165K), Solution Set (size: 254K)

  Vector spaces, basis, dimension (sections 3.5, 6.1, 6.2).

  Homework Set 6 (size: 174K) revised version posted 4/5/21, Solution Set (size: 318K)

  Change of basis, inner product spaces, orthogonality, orthogonal subspaces, Gram-Schmidt (sections 5.1-5.3, 6.3, 7.1, 7.2).

  Homework Set 7 (size: 174K) revised version posted 5/3/21, Solution Set (size: 205K) revised version posted 5/5/21

  Linear transformations, matrix representations (sections 3.6, 6.4-6.6).

  Homework Set 8 (size: 161K), Solution Set (size: 240K) revised version posted 5/10/21

  Determinants (section 4.2).

  Homework Set 9 (size: 173K) revised version posted 5/10/21, Solution Set (size: 267K)

  Cramer’s Rule, eigenvalues (sections 4.1-4.3).

  Supplemental Study Material (size: 179K), Solution Set (size: 283K)

  Diagonalization (sections 4.4).

Return to the syllabi download page.