Math 15a: Applied Linear Algebra, Spring 2004
Office: Goldsmith 310
Class schedule: Mon Wed Thu 10-11, Goldsmith 317.
Office hours: Monday 11-12, Wednesday 1-2, Thursday 11-12, and by appointment.
Textbook: Linear Algebra with applications (2nd edition) by Otto Bretscher.
Class web page: http://people.brandeis.edu/~ruberman/math15s04/math15a.html
- Chapter 1: Linear systems, matrices, Gaussian elimination.
- Chapter 2: Linear transformations, matrices, inverses. Geometrical interpretations.
- Chapter 3: Vectors, subspaces of Rn, dimension, kernel and image of a linear transformation.
- Chapter 4: Orthogonality, Gram-Schmidt process, orthogonal matrices, least squares.
- Chapter 5: Determinants, Cramer's rule.
- Chapter 6: Eigenvalues, eigenvectors.
- Other topics (time permitting): Coordinate systems, diagonalization of matrices. Applications to linear differential equations.
Exams, homework and grading
- There will be 2 midterm exams, 2 quizzes, and a 3-hour final exam. The schedule for the in-class exams and quizzes will be posted shortly; the final is Wednesday, May 12, 9:15 am - 12:15 pm (Block C).
- Homework will be assigned and collected weekly and will be graded and returned to you. Assignments will be available on the class web page. You may discuss homework with others, or with me, but you must write up your solutions by yourself.
- Grading formula: Homework 10%, Quizzes 15%, Mid-term exams 40%, Final exam 35%.
You are expected to be honest in all of your academic work. The University policy on academic honesty is distributed annually as a section of the Rights and Responsibilities handbook. Instances of alleged dishonesty will be forwarded to the Office of Campus Life for possible referral to the Student Judicial System. Potential sanctions include failure in the course and suspension from the University. If you have any questions about my expectations, please ask me.