# Pensum

Final pensum in the course:

Chapters in the 10th edition of Kreyszig:

**Laplace transformation:**Chap. 6.1-6.6 (not: "Special linear ODEs with variable coefficients"), 6.7**Fourier series, Fourier integral, and Fourier transformation:**Chap. 11.1-11.4, 11.7 (not: Fourier Cosine and Sine Integrals), 11.9 (only pages 522-528, that is, without DFT and FFT)**Partial Differential Equations:**Chap. 12.1, 12.3, 12.4 (not: Characteristics), 12.6, 12.7**Numerical methods:**Chap. 19.1 (not: Error Propagation, Basic Error Principle), 19.2, 19.3 (not: Equal Spacing: Newton's Forward Difference Formula, Equal Spacing: Newton's Backward Difference Formula), 19.5 (till p. 831)**Numerical linear algebra:**Chap. 20.1-20.3**Numerical methods for ODEs and PDEs:**Chap. 21.1 (not: RKF methods), 21.3 (not: RKN methods), 21.4 (not: ADI method), 21.6

**The note on Newton's method in several variables**

**All exercises (including the 13th, non-mandatory exercise sheet).**