Linear Differential EquationsExplores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.
Linear Algebra: IntegersExplores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.
Gauss-Jordan MethodIntroduces the Gauss-Jordan method for solving linear equations and explores unique solutions and efficiency comparisons.
Gaussian Elimination MethodCovers the Gaussian elimination method for solving linear equations using row operations and equivalent matrices.
General Solution of Inhomogeneous EDCovers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.
Linear differential equationsExplores linear differential equations of order n, including homogeneous and inhomogeneous equations, solutions, and linear independence.