Announcements
- Grading policy change: Each person's lowest homework grade will be dropped.
- For the last week, points for class participation will be available for doing final exam practice problems.
Homework
- Homework 1, due June 26.
- Homework 2, due July 3.
- Homework 3, due July 14.
- Homework 4, due July 21.
- Homework 5, due July 29.
- Homework 6, due August 4.
- Homework 7, due August 7.
Exams
Instructor's Contact Information
- Name: Edward Carter
- Email: ecarter@math.berkeley.edu
- Course web page: http://math.berkeley.edu/~ecarter/Summer08/110/
- Office: 845 Evans
- Office Hours
- Tuesday 11:10-12:00
- Wednesday 2:10-3:00
- Friday 4:10-5:00
Course Information
Time and Place
Monday through Thursday, 12:10-2:00 in 385 LeConte.
Textbook
Linear Algebra, 4th edition by Friedberg, Insel, and Spence.
Prerequisites
MATH 53 and 54. The material of MATH 53 will not be used much in this course, if at all. The linear algebra portion of MATH 54 will be built on extensively. It may help to review lecture notes 1 through 19 from last summer.
Schedule
The following schedule for the class is approximate, except for the exam dates which will not change.
| Week of | Monday | Tuesday | Wednesday | Thursday |
|---|---|---|---|---|
| June 23 | vector spaces; subspaces; lecture notes 1 | linear combinations; linear independence; bases and dimension; lecture notes 2 | linear transformations; lecture notes 3 | more linear transformations; lecture notes 4 |
| June 30 | coordinate vectors; spaces of linear transformations; lecture notes 5 | composition of linear transformations; lecture notes 6 | invertibility and isomorphisms; lecture notes 7 | more quotient spaces; change of coordinate matrices; lecture notes 8 |
| July 7 | elementary row operations; lecture notes 9 | rank of a matrix; matrix inverses; lecture notes 10 | systems of linear equations; Midterm 1; lecture notes 11 | determinants; lecture notes 12 |
| July 14 | properties of determinants; lecture notes 13 | eigenvectors and eigenvalues; lecture notes 14 | diagonalization; lecture notes 15 | Cayley-Hamilton Theorem; lecture notes 16 |
| July 21 | Cayley-Hamilton Theorem; lecture notes 17 | Jordan canonical form; lecture notes 18 | minimal polynomials; lecture notes 19 | review; prelim problems |
| July 28 | dual spaces; lecture notes 20 | Midterm 2; lecture notes 21 | inner product spaces; lecture notes 22 | orthonormal bases; Gram-Schmidt; lecture notes 23 |
| August 4 | adjoint transformations; lecture notes 24 | normal and self-adjoint operators; lecture notes 25 | unitary and orthogonal operators; positive definite operators; lecture notes 26 | tensor products; review problems |
| August 11 | tensor products; lecture notes 27 | review problems | review problems | Final Exam |
Grading
The breakdown of points in the class will be as follows:
- 39% Homework
- 5% Class Participation
- 14% Midterm 1
- 14% Midterm 2
- 28% Final Exam
There will be a curve, but that curve will be no harsher than 90 for A-, 80 for B-, 70 for C-, and 60 for D-. That is, if your overall score at the end of the class is 90% or higher, then your grade will be at least an A-, it will be at least a B- if your score is 80% or higher, and so on.