MATH 225: Linear Algebra and Linear Differential Equations
Core linear algebra concepts combined with first- and second-order ordinary differential equations. Topics include systems of linear equations, Gaussian elimination, matrix algebra, vector spaces, subspaces, linear independence, basis and dimension, eigenvalues and eigenvectors, diagonalization, first-order ODEs (separable, linear), linear second-order ODEs with constant coefficients, and systems of differential equations.
This archive catalogs 10 free educational resources and past exams for MATH 225 (Linear Algebra and Linear Differential Equations) at University of Southern California (USC), containing 4 midterm papers, 5 final examinations, and 1 study guide. Dated documents represent 7 distinct academic years between 2016 and 2023.
Core Exam Topics & Learning Objectives
- Systems of linear equations: Gaussian elimination, row echelon form, matrix inverses, and LU decomposition in MATH 225
- Vector space theory: linear independence, span, basis vectors, dimension, null space, and column space
- Linear transformations: matrix representations, kernel and range, coordinates, and change of basis transformations
- Spectral theory and applications: eigenvalues, eigenvectors, characteristic polynomials, and matrix diagonalization in Linear Algebra and Linear Differential Equations
Study Resource for Linear Algebra and Linear Differential Equations
Study Resource
Final Exam 2016
University of Southern California (USC) MATH 225 Final Exam 2016
Study Resource
Midterm (Exam 1) 2017
University of Southern California (USC) MATH 225 Midterm (Exam 1) 2017
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Final Exam 2018
University of Southern California (USC) MATH 225 Final Exam 2018
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Midterm (Exam 1) 2019
University of Southern California (USC) MATH 225 Midterm (Exam 1) 2019
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Final Exam 2019
University of Southern California (USC) MATH 225 Final Exam 2019
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Final Exam 2021
University of Southern California (USC) MATH 225 Final Exam 2021
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Midterm (Exam 1) 2022
University of Southern California (USC) MATH 225 Midterm (Exam 1) 2022
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Midterm (Exam 1) 2023
University of Southern California (USC) MATH 225 Midterm (Exam 1) 2023
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Final Exam 2023
University of Southern California (USC) MATH 225 Final Exam 2023
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Study Guide 7
University of Southern California (USC) MATH 225 Study Guide 7
Assessment Inventory for MATH 225 (10 Documents)
| Document | Format | Year | Access |
|---|---|---|---|
| Midterm (Exam 1) 2023 | Midterm | 2023 | Illustrative Archive |
| Final Exam 2023 | Final | 2023 | Illustrative Archive |
| Midterm (Exam 1) 2022 | Midterm | 2022 | Illustrative Archive |
| Final Exam 2021 | Final | 2021 | Illustrative Archive |
| Midterm (Exam 1) 2019 | Midterm | 2019 | Illustrative Archive |
| Final Exam 2019 | Final | 2019 | Illustrative Archive |
| Final Exam 2018 | Final | 2018 | Illustrative Archive |
| Midterm (Exam 1) 2017 | Midterm | 2017 | Illustrative Archive |
| Final Exam 2016 | Final | 2016 | Illustrative Archive |
| Study Guide 7 | Study Guide | — | Illustrative Archive |
| Complete inventory of all 10 assessments (sorted by most recent). Select any document to inspect or use the search bar above to filter. | |||
Frequently Asked Questions
Which assessment formats are cataloged in this MATH 225 archive?
This collection for MATH 225 at University of Southern California (USC) catalogs 10 total resources across the following formats: Midterms, Finals, Study Guides. Each document is listed in the assessment inventory table below with its individual format tag and academic year where recorded.
What academic years are covered in this MATH 225 collection?
Dated materials in this archive span from 2016 to 2023, representing 7 distinct academic years. Coverage varies by the records currently cataloged for this course.
How can students access these free MATH 225 past exams?
All cataloged MATH 225 past exams and study materials are free to request. The catalog, metadata, assessment inventory, and illustrative thumbnails are public; source documents are not shown on this page. Use the connect options to request a study resource, and confirm current course topics and grading policies with the University of Southern California (USC) course syllabus.