MATH 450 — Differential Equations II-Prerequisite MATH 350
Mathematics · University of Ghana
This course introduces undergraduate students to the qualitative theory of Ordinary Differential Equations. We will use the Picard-Lindelöf Theorem to analyze whether an ODE or a system of ODEs has a solution and the behavior of the solution as the parameter is varied (bifurcation). We will especially consider autonomous linear and nonlinear systems and investigate the stability of the solutions that result. We will also introduce the concept of a Lyapunov function. Other topics might include partial differential equations, the method of characteristics and classification.
- Credits
- 3
- Level
- Level 400
- Semester
- Semester Two
Other courses on this programme
- MATH 440 — Abstract Algebra II-Prerequisite MATH 354
- MATH 441 — Advanced Calculus-Prerequisite MATH 351 or MATH 353
- MATH 442 — Integration Theory and Measure –Prerequisite MATH 356
- MATH 443 — Differential Geometry-Prerequisite MATH 355
- MATH 444 — Calculus on Manifolds-Prerequisite MATH 441
- MATH 445 — Introductory Functional Analysis-Prerequisite MATH 356
- MATH 446 — Module Theory-Prerequisite MATH 440
- MATH 447 — Complex Analysis-Prerequisite MATH 223
- MATH 448 — Special Relativity- Prerequisite MATH 362
- MATH 449 — Electromagnetic Theory II-Prerequisite MATH 366
- MATH 451 — Introduction to Algebraic Field Theory-Prerequisite MATH 354
- MATH 452 — Introduction to Lie Groups and Lie Algebras- Prerequisite MATH 354
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Start freeCourse details from University of Ghana Volume 3 Handbook for the Bachelor's Degree: Course Descriptions for Programmes in the Sciences (2017).