Diferansiyel Denklemler:

1. Homogenous and non-homogenous linear ODEs (**)
2. Basics of non-linear equations
3. Series Solutions, Frobenius Series
4. Laplace transforms
5. Basic PDEs, Separable solutions

Linear Cebir:

1. Vector Spaces, Subspaces
2. Orthogonality, Basis, Dimensionality, Spanning sets (**)
3. Gram-Schmidt Process
4. Basis transformations, Linear Transformations
5. Matrixler, Gaussian Eliminiation, Echelon form
6. Inverse of a Matrix, Determinant
7. Cramer's Rule
8. Eigenvalue Problem (**)
9. Matrix diagonalization
10. Sturm-Liouville Problem

Kaynaklar:

Linear Algebra Done Right, Sheldon Axler
Introduction to Linear Algebra, Gilbert Strang
Differential Equations, Shepley Ross
Ordinary Differential Equations, Tenenbaum and Pollard
Mathematica

Online Dersler:

Linear Algebra: [ Ссылка ]

Honors Differential Equations: [ Ссылка ]

Gian Carlo Rota'nin Yazisi: [ Ссылка ]

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