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MTH433 Differential Equations

Lead Faculty: Dr. Igor Ya Subbotin

Course Description

Examines systems of linear equations and matrices, elementary vector-space concepts, and geometric interpretations. Discusses finite dimensional vector spaces, linear functions and their matrix representations, determinants, similarity of matrices, inner product, rank, eigenvalues and eigenvectors, canonical form, and Gram-Schmidt process.

Learning Outcomes

  • Demonstrate knowledge in ordinary differential equations with emphasis on linear equations and systems of linear equations.
  • Demonstrate knowledge in the analysis of the existence and uniqueness of solutions of ordinary differential equations with initial conditions, so called Cauchy problem.
  • Demonstrate knowledge in linear differential equations of first, second and higher orders.
  • Demonstrate knowledge in linear systems of ordinary differential equations.
  • Demonstrate knowledge in infinite series.
  • Demonstrate knowledge in laplace transform.
  • Demonstrate knowledge in matrix methods of solution.