MATH 51: Linear Algebra, Multivariable Calculus, and Modern Applications
Course exam catalog and study material archive for Linear Algebra, Multivariable Calculus, and Modern Applications at Stanford University. Request verified past exam papers and study resources directly through our student community.
This archive catalogs 12 free educational resources and past exams for MATH 51 (Linear Algebra, Multivariable Calculus, and Modern Applications) at Stanford University, containing 4 midterm papers, 5 final examinations, 2 quizzes, and 1 worksheet. Dated documents represent 5 distinct academic years between 2019 and 2024.
Core Exam Topics & Learning Objectives
- Systems of linear equations: Gaussian elimination, row echelon form, matrix inverses, and LU decomposition in MATH 51
- 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, Multivariable Calculus, and Modern Applications
Study Resource for Linear Algebra, Multivariable Calculus, and Modern Applications
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Midterm (Exam 1) 2019
Stanford University MATH 51 Midterm (Exam 1) 2019
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Final Exam 2019
Stanford University MATH 51 Final Exam 2019
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Final Exam 2020
Stanford University MATH 51 Final Exam 2020
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Midterm (Exam 1) 2021
Stanford University MATH 51 Midterm (Exam 1) 2021
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Final Exam 2021
Stanford University MATH 51 Final Exam 2021
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Midterm (Exam 1) 2022
Stanford University MATH 51 Midterm (Exam 1) 2022
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Final Exam 2022
Stanford University MATH 51 Final Exam 2022
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Midterm (Exam 1) 2024
Stanford University MATH 51 Midterm (Exam 1) 2024
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Final Exam 2024
Stanford University MATH 51 Final Exam 2024
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Quiz 1
Stanford University MATH 51 Quiz 1
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Quiz 2
Stanford University MATH 51 Quiz 2
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Worksheet 8
Stanford University MATH 51 Worksheet 8
Assessment Inventory for MATH 51 (12 Documents)
| Document | Format | Year | Access |
|---|---|---|---|
| Midterm (Exam 1) 2024 | Midterm | 2024 | Illustrative Archive |
| Final Exam 2024 | Final | 2024 | Illustrative Archive |
| Midterm (Exam 1) 2022 | Midterm | 2022 | Illustrative Archive |
| Final Exam 2022 | Final | 2022 | Illustrative Archive |
| Midterm (Exam 1) 2021 | Midterm | 2021 | Illustrative Archive |
| Final Exam 2021 | Final | 2021 | Illustrative Archive |
| Final Exam 2020 | Final | 2020 | Illustrative Archive |
| Midterm (Exam 1) 2019 | Midterm | 2019 | Illustrative Archive |
| Final Exam 2019 | Final | 2019 | Illustrative Archive |
| Quiz 1 | Quiz | — | Illustrative Archive |
| Quiz 2 | Quiz | — | Illustrative Archive |
| Worksheet 8 | Worksheet | — | Illustrative Archive |
| Complete inventory of all 12 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 51 archive?
This collection for MATH 51 at Stanford University catalogs 12 total resources across the following formats: Midterms, Finals, Quizzes, Worksheets. 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 51 collection?
Dated materials in this archive span from 2019 to 2024, representing 5 distinct academic years. Coverage varies by the records currently cataloged for this course.
How can students access these free MATH 51 past exams?
All cataloged MATH 51 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 Stanford University course syllabus.