MATH 133(Fall 2007): Vectors, Matrices and Geometry

• Text: David Poole, Linear Algebra, A Modern Introduction(2nd ed), Brookes/Cole,
  
• Contents: Geometric vectors, dot product, lines and planes, cross product, triple scalar product (Sections 1.1, 1.2, 1.3); 6 hours. Systems of linear equations, spanning sets and linear independence (Sections 2.0, 2.1, 2.2, 2.3); 6 hours. Matrices, matrix algebra, subspaces, basis, dimension, rank, linear transformations (Sections 3.0, 3.1, 3.2, 3.3, 3.5,3.6); 9 hours. Eigenvalues and eigenvectors, determinants, similarity and diagonalization (Sections 4.1, 4.2, 4.3, 4.4); 9 hours. Orthogonality, orthogonal complements and orthogonal projections, the Gram-Schmidt process, quadratic forms (Sections 5.0, 5.1, 5.2, 5.3,5.4, 5.5); 9 hours.
• Assignments: Assignments are all web-based using WeBWorK. You access them at http://msr04.math.mcgill.ca/webwork/m133f07 if your 9 digit student number is even and http://msr05.math.mcgill.ca/webwork/m133f07 if it is odd. Both login and initial password are your 9 digit student number. Please change your password the first time you log in. If you experience technical problems with WeBWorK please contact the administrator at wwadmin@math.mcgill.ca. There are 10 assignments in all and are worth 15% of your grade. Missed assignments cannot be redone. Additional information about WeBWorK assignments.
• Final Exam: There will be a formal 3 hour final exam. It is worth 85% of your grade No calculators will be needed or allowed.
• Supplemental: There will be a supplemental exam, counting 100% of the supplemental grade. No additional work will be accepted for D, F, or J.
• Help Desk: http://www.math.mcgill.ca/students/undergrad/help_desk You are strongly encouraged to make use of this resource.
• Academic Integrity : For your success in this course it is essential that the work that you submit in assignments is your own. Because the webwork problems are numerically different for each student you can consult others if you are having difficulties as long as you work with a version of the problem which is different from your own. Copying of any kind in assignments is not permitted. McGill University values academic integrity. Therefore all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see www.mcgill.ca/integrity for more information).