A printed version of this page has no headers, footers, menu bars or this message.
General Information, Syllabus, Assessment and Test Dates
Undergraduate Catalog Description: Advanced linear algebra, including linear transformations and duality, elementary canonical forms, rational and Jordan forms, inner product spaces, unitary operators, normal operators and spectral theory. Prerequisites: Math 411 and Math 315.
Objectives
- Develop a thorough understanding of the concepts and techniques of linear algebra
- Further develop the ability to apply your knowledge to solve problems
- Further develop the ability to understand an axiomatic development of mathematics and hence to understand and write proofs
- (Further) develop skills for working effectively with others on mathematics problems
- Prepare for more advanced study of algebra and other areas of mathematics that use linear algebra
Syllabus
Chapter 1: Vector Spaces
Chapter 2: Linear Transformations and Matrices (2.1 - 2.6)
Chapter 3: Elementary Matrix Operations and Systems of Linear Equations
Chapter 4: Determinants
Chapter 5: Diagonalization (Omit 5.3)
Chapter 7: Canonical Forms
Chapter 6: Inner Product Spaces (Omit 6.8)
Assessment
| 1. | Homework | 15% |
| 2. | Group Work | 10% |
| 3. | Tests | 45% |
| 4. | Final Examination | 30% |
Test Schedule
Test 1: Friday, February 17
Test 2: Friday, March 23
Test 3: Wednesday, April 25
Final: Friday, May 11, at 12 noon