Course Description: |
Elementary theory of vector spaces. Topics include linear independence, bases, dimension, linear maps and matrices, determinants, orthogonality, eigenvalues and eigenvectors. |
Syllabus: |
Syllabus (PDF file) |
Schedule: |
MoTuWeTh 8:15am - 9:45am in Y-04-4180 |
Text(s): |
Linear Algebra with Applications. 5th edition. By Otto Bretscher. Pearson 2012. ISBN: 978-0321796974.
Linear Algebra - Supplemental notes. Provided by instructor.
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Help: |
Office hours: By appointment, MoTuWeTh 7:30 - 8:00 and 12:30 - 13:30 in S-03-091.
Please follow this link
to schedule a 10 or 20 minute appointment, at least 2 hours in advance. You can stop by my office without a confirmed appointment, but I may be unavailable.
Piazza: Instead of sending questions by email, please use the discussion boards available at piazza.com to post questions and provide answers. |
Assignments: |
Exams: in class, August 8 and August 25
Quizzes: in class, Jul 25, Aug 1, Aug 15, Aug 22
Homework: online, using WeBWorK
Readings: daily, due before class meeting |
Important dates: |
Mon, Jul 18 - First day of class Mon, Jul 25 - Quiz #1 Mon, Aug 1 - Quiz #2 Mon, Aug 8 - Exam #1 Mon, Aug 15 - Quiz #3 Mon, Aug 22 - Quiz #4 Thu, Aug 25 - Exam #2; Last day of class |
Useful links: |
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Schedule:
Mon, Jul 18 |
Linear Space Rn. |
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Tue, Jul 19 |
Lines and Planes. Linear Systems. Row Operations. |
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Wed, Jul 20 |
(R)REF. Solutions of Linear Systems. |
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Thu, Jul 21 |
Geometric Transformations. Matrix Algebra. |
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Mon, Jul 25 |
Quiz #1. Inverse of a Matrix. |
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Tue, Jul 26 |
Image and Kernel. Linear Subspaces. |
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Wed, Jul 27 |
Bases. Coordinates. Dimension. |
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Thu, Jul 28 |
Abstract Linear Spaces. |
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Mon, Aug 1 |
Quiz #2. Linear Transformations. |
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Tue, Aug 2 |
Matrix of a Transformation. |
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Wed, Aug 3 |
Orthonormal Bases. QR Factorization. |
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Thu, Aug 4 |
Orthogonal Complement. Orthogonal Projections. |
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Mon, Aug 8 |
Exam #1. |
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Tue, Aug 9 |
Least Squares. Orthogonal Transformations. |
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Wed, Aug 10 |
Reflections and Rotations. |
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Thu, Aug 11 |
Volume Forms. Determinants. Properties of Determinants. |
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Mon, Aug 15 |
Quiz #3. Computation of Determinants. Applications of Determinants. |
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Tue, Aug 16 |
Diagonalization. Eigenvalues, Eigenspaces, Eigenbases. |
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Wed, Aug 17 |
Diagonalization: examples. |
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Thu, Aug 18 |
Symmetric Matrices. Quadratic Forms. |
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Mon, Aug 22 |
Quiz #4. Inner Product Spaces. |
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Tue, Aug 23 |
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Wed, Aug 24 |
Review. |
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Thu, Aug 25 |
Exam #2. |
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