MATH 462: ADV LINEAR ALGBRA
California State University, Northridge
Prerequisites: Completion of MATH 262 and MATH 320 with a grade of "C" or better. Recommended Corequisite or Preparatory MATH 360. This course covers vector spaces and linear transformations from a more theoretical perspective than that covered in MATH 262. The course begins with a review of abstract vector spaces, including the invariance of dimension of a finite dimensional vector space, the correspondence between linear transformations and matrices, similarity, as well as the definition and basic properties of determinants. The concepts of eigenvalues, eigenvectors, and diagonalization will be reviewed. The course will also cover real and complex inner product spaces, Hermitian operators, the spectral theorem, minimal and characteristic polynomials, the Cayley Hamilton theorem, and the Jordan canonical form.
Average GPA: 2.30
Grade distribution records: 301 students across 14 terms.
Grade distribution
| Grade | Students | Percent |
|---|---|---|
| A | 45 | 15.0% |
| A- | 16 | 5.3% |
| B+ | 26 | 8.6% |
| B | 39 | 13.0% |
| B- | 20 | 6.6% |
| C+ | 16 | 5.3% |
| C | 51 | 16.9% |
| C- | 3 | 1.0% |
| D+ | 12 | 4.0% |
| D | 33 | 11.0% |
| D- | 6 | 2.0% |
| F | 34 | 11.3% |
Based on 301 student grade records across 14 terms and 7 professors.
Instructors
- Csaba D Toth 66 students, Average GPA 2.58
- Vladislav Panferov 57 students, Average GPA 2.22
- Alberto Candel 45 students, Average GPA 2.10
- Jerry D Rosen 36 students, Average GPA 2.43
- Chadwick Sprouse 26 students, Average GPA 2.15
- David M Klein 24 students, Average GPA 1.56
- Daniel J Katz 23 students, Average GPA 2.89