APPLIED MATHEMATICAL ANALYSIS 2: PARTIAL DIFFERENTIAL EQUATIONS

Prerequisites & course information

Requisites: MATH 321 , 376 , or graduate/professional standing Course Designation: Core GenEd - Natural Science & Wellness Breadth - Natural Science Level - Advanced L&S Credit - L&S Liberal Arts and Science Repeatable for Credit: No Last Taught: Spring 2026 Learning Outcomes: 1. Recall and state the formal definitions, properties, techniques, and theorems associated to elementary partial differential equations (e.g., boundary value problem, linearity, eigenfunction, Fourier series, finite difference methods, etc.). Audience: Undergraduate 2. Verify if a mathematical object has a given property used in elementary partial differential equations (e.g., homogeneous vs. nonhomogeneous PDEs, symmetry, etc.) Audience: Undergraduate 3. Check the premises of theorems used in complex and vector calculus in order to apply their conclusions (e.g., that a finite series solution minimizes error, etc.). Audience: Undergraduate 4. Resolve algebraic statements and perform standard computations related to elementary partial differential equations (e.g., derive series solutions to a given PDE, apply the finite element method to approximate a PDE solution, etc.). 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, techniques, and theorems associated to elementary partial differential equations (e.g., boundary value problem, linearity, eigenfunction, Fourier series, finite difference methods, etc.). Audience: Undergraduate 2. Verify if a mathematical object has a given property used in elementary partial differential equations (e.g., homogeneous vs. nonhomogeneous PDEs, symmetry, etc.) Audience: Undergraduate 3. Check the premises of theorems used in complex and vector calculus in order to apply their conclusions (e.g., that a finite series solution minimizes error, etc.). Audience: Undergraduate 4. Resolve algebraic statements and perform standard computations related to elementary partial differential equations (e.g., derive series solutions to a given PDE, apply the finite element method to approximate a PDE solution, etc.). Audience: Undergraduate 5. Express informal mathematical arguments in English using appropriate mathematical terminology and notation. Audience: Undergraduate