UC Berkeley · MATH 54

Linear Algebra and Differential Equations

线性代数与微分方程

Linear systems, matrices, vector spaces, eigenvalues, orthogonality, least squares, singular value decomposition, linear differential equations, and Fourier series, following Berkeley Mathematics' official 42-hour outline.

Subject：Linear Algebra

Level：Undergraduate

Suggested stage：Years 2–3 (inferred)

Public-material edition：Official course page (year not stated)

Language：English

Videos：Not verified

Assignments / solutions：Not verified / Not verified

Prerequisites

Berkeley MATH 52 or equivalent

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All official course content

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▶Lectures, video & readingCourse content in the official sequence10

Official unit 1: Linear Systems and Row Reduction Official unit 2: Matrix Algebra and Determinants Official unit 3: Vector Spaces, Bases, and Dimension Official unit 4: Eigenvalues and Eigenvectors Official unit 5: Orthogonality and Least Squares Official unit 6: Symmetric Matrices, Quadratic Forms, and SVD Official unit 7: Linear Second-Order Differential Equations Official unit 8: Systems of Linear Differential Equations Official unit 9: Fourier Series Official unit 10: Official Math 54 Review

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Official Math 54 singular value decomposition notesUC Berkeley Department of Mathematics ↗

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UC Berkeley Department of Mathematics · verified 2026-08-22

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