Linear and Multilinear Algebra (FA23)

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Course Info:

  • Lectures: Monday, Wednesday, Friday, block 12 (12:50 - 1:55 p.m.)
  • x-period: Tuesday, block 12X (1:20 - 2:10 p.m.)
  • Dates: 11 September 2023 - 14 November 2023
  • Room: Kemeny 343
  • Instructor: John Voight
  • Instructor office: Kemeny 341
  • E-mail: jvoight@gmail.com
  • Office hours:
    • Wednesdays, 8:30-9:30 a.m.,
    • during x-hour, or
    • please make an appointment by email!
  • Course Web Page: https://canvas.dartmouth.edu/courses/60492/
  • Prerequisites: A previous course in undergraduate algebra is strongly recommended.
  • Required Text: David S. Dummit and Richard M. Foote, Abstract algebra, 3rd ed., Wiley, 2003; see their errata. 
  • Recommended Texts:
    • Stephen Friedberg, Arnold Insel, and Lawrence Spence, Linear algebra, 4th. ed., Pearson, 2002.
    • Steven Roman, Advanced linear algebra, 3rd. ed., GTM vol. 135, 2007.
    • Serge Lang, Algebra, 3rd. ed., GTM vol. 211, Springer-Verlag, 2005.
  • Grading: Grade will be based on daily homework, weekly homework, and a final exam.

 

Course Catalogue Description:

This course treats the subject of linear and multilinear algebra from an abstract point of view. Topics include bilinear forms, tensor products, algebras over a field, symmetric and exterior powers, and universal properties. Applications include the representation and character theory of finite groups.

See the official syllabus.

 

Additional Pages:

  1. Academic Honor Principle
  2. Expectations
  3. Homework
  4. Student Accessibility Needs
  5. Mental Health
  6. Title IX
  7. Religious Observances

Course Summary:

Date Details Due