Study of ordinary differential equations (e.g., solutions to separable and linear first-order equations and to higher-order linear equations with constant coefficients, systems of linear differential equations, the properties of solutions to differential equations) and linear algebra (e.g., vector spaces and solutions to algebraic linear equations, dimension, eigenvalues, and eigenvectors of a matrix), as well as the application of linear algebra to first-order systems of differential equations and the qualitative theory of nonlinear systems and phase portraits.
✅ 7 weeks – 2–8 hours per week
✅ Self-paced – Progress at your own speed
On completion of this course, you should be able to:
✅ Introduction to differential equations and their solutions
✅ Qualitative Analysis via Directional Fields
✅ Separable Equations
✅ Theory of 1st order Differential Equations, i.e. Picard’s Theorem
✅ 1st order Linear Differential Equations with two techniques
✅ Linear Algebra: Matrix Algebra
✅ Solving systems of linear equations by using Gauss Jordan Elimination
✅ Invertibility- Determinants
✅ Subspaces and Vector Spaces
✅ Linear Independency
✅ Span
✅ Basis-Dimension
