Linear and Multilinear Algebra (FA21)

Course Info:

  • 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.
    • Thomas Hungerford, Algebra, 8th ed., GTM vol. 73, Springer-Verlag, 2003.
  • 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.


COVID-19 Information:


You are expected to attend class in person unless you have made alternative arrangements due to illness, medical reasons, or the need to isolate due to COVID-19.  For the health and safety of our class community, please: do not attend class when you are sick, nor when you have been instructed by Student Health Services to stay home.  (If you are unable to attend class, please contact your instructor for further instructions.)


In accordance with current College policyLinks to an external site., all members of the Dartmouth community are required to wear a suitable face covering when indoors, regardless of vaccination status. This includes our classroom and other course-related locations, such as labs, studios, and office hours.  If you need to take a quick drink during class, please dip your mask briefly for each sip. Eating is never permitted in the classroom. (The only exception to the mask requirement is for students with an approved disability-related accommodation; see Student Accessibility Needs.)  If you do not have an accommodation and refuse to comply with masking or other safety protocols, your instructor is obligated to assure that the COVID health and safety standards are followed, and you will be asked to leave the classroom.  You remain subject to course attendance policies, and dismissal from class will result in an unexcused absence.  If you refuse to comply with masking or other safety protocols, and to ensure the health and safety of our community, your instructor is obligated to report you to the Dean’s office for disciplinary action under Dartmouth’s Standards of ConductLinks to an external site.. Additional COVID-19 protocols may emerge. Pay attention to emails from the senior administrators at the College.


Additional Pages:

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

Course Summary:

Date Details Due