Akademik Dersler - İçerik

Weeks	Topics
Week - 1	Matrices
Week - 2	Linear systems of equations
Week - 3	Rank of a matrix. Linear independence. Vector spaces
Week - 4	Solutions of linear systems. Determinants
Week - 5	Inverse of a matrix. Gauss-Jordan elimination.Vector spaces, inner product spaces, linear transformations
Week - 6	Eigenvalues and eigenvectors.
Week - 7	Some applications of eigenvalue problems.
Week - 8	First-order differantial equations: seperable differantial equations, exact differantial equations. Integrating factor. Bernoulli equation
Week - 9	Orthogonal trajectories of curves. Existence and uniqueness of solutions. Picard iteration
Week - 10	Homogeneous linear equations of second order. Second order homogeneous equations with constant coefficients
Week - 11	Differential operators. Euler-Cauchy equation
Week - 12	Wronskian. Nonhomogeneous equations. Solution by undetermined coefficients. Solution by variation of parameters.
Week - 13	Higher order linear differential equations. Higher order homogeneous equations with constant coefficients. Higher order nonhomogeneous equations
Week - 14	Systems of differential equations, phase plane, qualitative methods