341 - Linear Algebra
Prerequisites:
Math 234 or cons inst. Closed to students with credit for Math 375.
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 either Math 340 or 375. (N-A) Recent Texts:
Robert Messer: Linear Algebra, Elementary Linear Algebra, by B. Kolman and D. R. Hill (9th edition).
Course Coordinator:
Steffen Lempp/Gloria Mari Beffa 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 Course Content:
- 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