Numerical Linear Algebra
MTH 451/551

Analytical and practical properties of these methods will be examined. Students will get computational experience in applying the algorithms studied using the MATLAB problem-solving environment.

Course Learning Outcomes:

A successful student who completes MTH 451 will be able to

• Apply the basic direct and iterative methods for solving linear systems
• Implement and justify convergence of model iterative methods for solving linear systems
• Follow analyses of stability and accuracy of an algorithm, and determine accuracy experimentally
• Propose an appropriate method for a given linear system and a desired decomposition of a given matrix

A successful student who completes MTH 551 will be able to

• Analyze, select and test selected direct and iterative methods for solving linear systems
• Implement and analyze convergence of selected iterative methods for solving linear systems
• Carry out analyses of stability and accuracy of an algorithm, and determine accuracy experimentally
• Propose an appropriate method for solving a linear system or for decomposition of a matrix of particular type.
• Carry out demonstrations of applicability of the selected numerical linear algebra methods.

Resources

Grade Distribution

Grade Scale

• While it may not be stated explicitly each day, students are expected to read each section to be covered before class. Students are responsible for any material missed due to absence. Questions not addressed during class time should be asked in office hours.

• Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at https://ds.oregonstate.edu. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.

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• Disclaimer: Due to the switch to remote education and uncertainties around it, the instructor reserves the right to make changes to the syllabus throughout the term. Modes of delivery, assessment methods, communication preferences, or other course items might change if we discover the technology does not meet our needs or better ideas emerge. Instructors will do their best to provide ample notice, but students are responsible for checking email regularly and for accommodating course changes.

• Unauthorized recording and use policy: Recording and/or dissemination of instructional content is prohibited, unless express permission of the instructor is obtained for an approved accommodation.