Math 341 - Linear Algebra
- Prerequisites: Math 234.
- Frequency: Fall (I), Spring (II)
- Student Body: The audience for this course consists mostly of math majors, and students in sciences and engineering who need a proof-based course in linear algebra
- Credits: 3. Credit may not be received for both Math 341 and any of Math 340, 320 or 375. (N-A)
- Recent Texts: Robert Messer: Linear Algebra, Elementary Linear Algebra, by B. Kolman and D. R. Hill (7th edition).
- Course Coordinator: Steffen Lempp
- Background and Goals: This course is part of a group of transitional courses for math majors. These courses are meant to provide instruction on how to write and understand proofs, while covering similar topics as Math 340. It is also recommended for those students in the sciences and engineering who want to have a more theoretical understanding of linear algebra. After completing Math 341, students should be prepared to take proof-based courses at the 5XX level. This course is designated a "writing-intensive" course.
- Alternatives: Math 340 for less theoretical students, Math 375 for Honors students
- Subsequent Courses: 5XX-level courses in Math
Content coverage:
- Definition, examples and basic facts in vector spaces
- Linear systems
- Linear combination, linear independence, basis and dimension, coordinates
- Inner product spaces
- Matrix algebra and inverse
- Linear transformation, kernel, change of basis, isomorphism
- Determinants
- Eigenvalues and eigenvectors
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