LINEAR ALGEBRA AND DIFFERENTIAL EQUATIONS
An introduction to linear algebra and differential equations with emphasis on the relationship between the theory of linear algebra and analytical and numerical techniques for solving differential equations. Linear algebra topics include linear systems, matrices and their algebra, vector spaces and linear transformations, eigenvalues and eigenvectors. Topics from differential equations include first order ODE, homogeneous and nonhomogeneous linear systems, and numerical methods.
Topics
- linear systems
- matrices and their algebra
- vector spaces and linear transformations
- eigenvalues and eigenvectors
Topics explicitly listed in official catalogue description
Prerequisites & course information
Requisites: MATH 222 or graduate/professional standing. Not open to students with credit for MATH 319 , 340 , 341 , 345 , or 375 . Course Designation: Core GenEd - Natural Science & Wellness + Lab Breadth - Natural Science Level - Advanced L&S Credit - L&S Liberal Arts and Science Repeatable for Credit: No Last Taught: Fall 2026 Learning Outcomes: 1. Recall and state the formal definitions, properties, and theorems associated to elementary linear algebra and ordinary differential equations (e.g. existence and uniqueness theorems for first-order ODEs, eigenvalues and eigenvectors, etc.). Audience: Undergraduate 2. Verify if a mathematical object has a given property used in elementary linear algebra and differential equations (e.g., that a matrix is invertible, that a set is a vector subspace, that a vector is an eigenvector, etc.). Audience: Undergraduate 3. Check the premises of theorems used in elementary linear algebra in order to apply their conclusions (e.g., that a given matrix has zero determinant and therefore cannot be inverted). Audience: Undergraduate 4. Resolve algebraic statements related to elementary linear algebra through appropriate computations and compute solutions to elementary systems of ordinary differential equations. Audience: Undergraduate 5. Express informal mathematical arguments in English using appropriate mathematical terminology and notation. Audience: Undergraduate Learning Outcomes: 1. Recall and state the formal definitions, properties, and theorems associated to elementary linear algebra and ordinary differential equations (e.g. existence and uniqueness theorems for first-order ODEs, eigenvalues and eigenvectors, etc.). Audience: Undergraduate 2. Verify if a mathematical object has a given property used in elementary linear algebra and differential equations (e.g., that a matrix is invertible, that a set is a vector subspace, that a vector is an eigenvector, etc.). Audience: Undergraduate 3. Check the premises of theorems used in elementary linear algebra in order to apply their conclusions (e.g., that a given matrix has zero determinant and therefore cannot be inverted). Audience: Undergraduate 4. Resolve algebraic statements related to elementary linear algebra through appropriate computations and compute solutions to elementary systems of ordinary differential equations. Audience: Undergraduate 5. Express informal mathematical arguments in English using appropriate mathematical terminology and notation. Audience: Undergraduate
Sources
- Course catalogue ↗2026-2027