| Uke 34 | Kap. 13.1, 13.2 | Complex numbers in normal
form, Complex numbers in polar form |
| Uke 35 | Kap. 2.1, Kap 2.2 | Second order linear homogeneous
equations, Linearly dependent functions, Reduction of order,
Second order linear homogeneous
equations with constant coefficients |
| Uke 36 | Kap. 2.4, 2.5, 2.6 |
Mass-Spring system: Free oscillations , Euler-Cauchy equations
Uniqueness and existense of solutions. Wronski determinant |
| Uke 37 | Kap. 2.7, 2.8, 2.10 | Nonhomogeneous second order linear differential
equations,
Method of undetermined coefficients,
Mass-Spring system: Forced oscillations ,
Method of variations of parameters
|
| Uke 38 | Kap. 1.1, 1.2, 1.3 | Linear systems and matrices,
Gauss Elimination,
Gauss-Jordan Elimination |
| Uke 39 | Kap. 1.3, 1.4 | Matrix calculus, The
inverse matrix,
How to find the inverse matrix |
| Uke 40 | Kap. 2.1, 2.2, 2.3, 2.4
| Determinants, Properties,
Cramer's rules and the adjoint matrix |
| Uke
41 | Kap. 4.1 | Vector spaces |
| Uke 42 | Kap. 4.2, 4.3 | Linear combinations, Bases |
| Uke 43 | Kap. 4.4, 5.1 | Row and Column spaces, Dot
product,
Orthogonal vectors in Rn |
| Uke 44 | Kap. 5.2, 5.3 | Orthogonal projection and least square
solutions, The Gram-Schmidt Algorithm |
| Uke 45 | Kap. 6.1, 6.2, 6.3 |
Eigenvalues and eigenvectors,
Diagonalization of matrices |
| Uke 46 | Kreyszig! Kap. 4.0, 4.1, 4.2, 4.3 | First order systems,
Linear systems with constant coefficients |