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UMass Boston
Summer II 2016 (Jul 18 - Aug 25)
MATH 260 - Linear Algebra -- Section 01B
 
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.
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: Piazza - CMS - Message boards
WeBWorK - Online homework
Schedule:
Mon, Jul 18   Linear Space Rn.
Tue, Jul 19   Lines and Planes. Linear Systems. Row Operations.
Wed, Jul 20   (R)REF. Solutions of Linear Systems.
Thu, Jul 21   Geometric Transformations. Matrix Algebra.
Mon, Jul 25   Quiz #1. Inverse of a Matrix.
Tue, Jul 26   Image and Kernel. Linear Subspaces.
Wed, Jul 27   Bases. Coordinates. Dimension.
Thu, Jul 28   Abstract Linear Spaces.
Mon, Aug 1   Quiz #2. Linear Transformations.
Tue, Aug 2   Matrix of a Transformation.
Wed, Aug 3   Orthonormal Bases. QR Factorization.
Thu, Aug 4   Orthogonal Complement. Orthogonal Projections.
Mon, Aug 8   Exam #1.
Tue, Aug 9   Least Squares. Orthogonal Transformations.
Wed, Aug 10   Reflections and Rotations.
Thu, Aug 11   Volume Forms. Determinants. Properties of Determinants.
Mon, Aug 15   Quiz #3. Computation of Determinants. Applications of Determinants.
Tue, Aug 16   Diagonalization. Eigenvalues, Eigenspaces, Eigenbases.
Wed, Aug 17   Diagonalization: examples.
Thu, Aug 18   Symmetric Matrices. Quadratic Forms.
Mon, Aug 22   Quiz #4. Inner Product Spaces.
Tue, Aug 23   .
Wed, Aug 24   Review.
Thu, Aug 25   Exam #2.