MATH 251
Linear Algebra I
Fall 2026
Topics
- Vector spaces and subspaces
- Linear combinations and systems of equations
- Linear dependence and independence
- Bases and dimension
- Linear transformations, null spaces and ranges
- Matrix representations and composition
- Invertibility and isomorphism
- Elementary matrices, matrix rank and inverses
- Determinants
- Eigenvalues, eigenvectors and diagonalization, time permitting
Readings
- S. Friedberg, A. Insel and L. Spence. Linear Algebra, 5th edition. Prentice Hall.
- Sergei Treil. Linear Algebra Done Wrong. https://www.math.brown.edu/~treil/papers/LADW/
Winter 2026 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Fall 2025 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Winter 2025 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Winter 2024 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Fall 2023 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Winter 2023 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Fall 2022 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Winter 2022 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Fall 2021 · MATH 251
Readings
- Linear Algebra, by S. Friedberg, A. Insel and L. Spence, 5th Edition, Prentice Hall.
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Fall 2026
- Historical course outline ↗Winter 2026
- Historical course outline ↗Fall 2025
- Historical course outline ↗Winter 2025
- Historical course outline ↗Winter 2024
- Historical course outline ↗Fall 2023
- Historical course outline ↗Winter 2023
- Historical course outline ↗Fall 2022
- Historical course outline ↗Winter 2022
- Historical course outline ↗Fall 2021
- Fall 2026 outline. Both books appear under “Recommend Texts”. The source also says the 4th edition of Friedberg et al. suffices.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.