Spring 2008
Math 412/501 Linear Algebra
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
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% | | 2. | Tests | 45% | | 3. | Final Examination | 30% | Test Schedule
Test 1: Friday, February 15
Test 2: Friday March 14
Test 3: Monday April 28
Final: Wednesday May 7, 8 a.m. |