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).