MATH 20580 Resources | Brian Mulholland

Course Overview

This page collects digital resources for MATH 20580: Linear Algebra and Differential Equations. These materials include interactive walkthroughs, embedded explanations, audio-supported resources, recorded office hours, and review videos connected to core course topics.

The goal of these resources is not only to help students solve problems, but also to strengthen conceptual understanding, mathematical communication, and long-term retention.

Digital Resources

Use the links below to access interactive course walkthroughs and recorded office hours for major topics in Linear Algebra and Differential Equations.

Interactive Course Walkthroughs

Interactive walkthroughs, guided explanations, examples, videos, and audio-supported resources covering major concepts from Linear Algebra and Differential Equations.

Linear Algebra

Systems of Equations Meaning of Solutions Properties of Matrices Linear Transformations Subspaces Basis Coordinates & Change of Basis Vector Spaces Determinants Eigenvalues & Eigenvectors Complex Eigenvalues Orthogonality Least Squares

Differential Equations

Solutions to Differential Equations First Order Equations Modeling Linear Differential Equations Second Order Linear Homogeneous Second Order Linear Nonhomogeneous Vibrations

Recorded Office Hours & Review Videos

Recorded office hours, review sessions, worked examples, and supplemental video explanations connected to major course topics and exam preparation.

Office Hours Worked Examples Conceptual Review Exam Preparation

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How to Use These Resources

Students often benefit most from these materials when they actively work alongside the examples rather than passively watching or reading.

Try pausing videos before solutions are revealed, working through examples independently, and comparing your reasoning with the walkthroughs afterward. The goal is to develop both computational fluency and conceptual understanding.