MATH 133(Fall, 2006): 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, Markov chains (Sections 3.0, 3.1, 3.2, 3.3, 3.5, 3.6, 3.7); 9 hours. Eigenvalues and eigenvectors, determinants, similarity and diagonalization, applications to dynamical systems (Sections 4.1, 4.2, 4.3, 4.4, 4.6); 9 hours. Orthogonality, orthogonal complements and orthogonal projections, the Gram-Schmidt process, quadratic forms, least squares approximation (Sections 5.0, 5.1, 5.2, 5.3,5.4, 5.5, 7.3); 9 hours.
• Tutorials: There is a weekly one-hour optional tutorial starting the week of Sept 5. The tutorial instructors will answer questions and help with problems, do additional problems and give additional motivation for the course. It is essential that you register in one of the tutorials as written assignments will be submitted to the tutorial instructors and returned by them. Your assignments must have your tutorial instructors name and tutorial section number on the front page along with your name and student ID number, all clearly printed.
• WeBWorK assignments: These weekly assignments will be available on the Web and will be answered on the Web. Your WebWorK assignments are at http://msr04.math.mcgill.ca/webwork/m133f06 The initial login/password is 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 eleven assignments. Missed assignments cannot be redone. The WeBWorK assignments are worth 15% of your grade. Additional information about WeBWorK assignments.
• Written assignments: There will be 4 written assignments distributed via WeBWorK. They are worth 4% of your grade. These assignments must be returned in the tutorials the week they are due or by Friday 3pm of that week in the assignment slot at the math office on the 10th floor of Burnside Hall.
• Midterm Test: There will be a take-home mid term test distributed via WeBWorK. It is worth 1% of your grade.
• WebCT: Your scores on assignments, tests, final, and your final mark will be posted on WebCT.
• Final Exam: There will be a formal 3 hour final exam. It is worth 80% 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/helpdesk.php 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 and tests 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 and tests 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).