Dr. Neil Balmforth Ass 1, with solutions and more pde400-1.m (plot with dots showing truncated series) Ass 2, with solution (and with the correct Bessel functions and the right warm-up problem 3) pde400-1.m Ass 3, due Tuesday March 5 Sample midterm Midterm from a previous year (with solution) Additional relevant problems from Haberman (4th edition): * Separation of variables and Fourier series - 2.5.3, 2.5.9, 3.4.12, 4.4.3(b) * Halfway house (requiring Sturm-Louiville theory, but trig functions) - Worked example of section 5.7 upto eq (5.7.11), Physical examples of section 5.8 * Separation of variables and Bessel functions - 7.7.1 (assume r is less than a), 7.7.3 (the frequencies of vibration are the possible values of w in the cos(wt) and sin(wt) functions of the separation-of-variables general solution), 7.8.2(d), 7.9.1(b), 9.7.4(a) * Separation of variables and Legendre functions - final example in section 7.10, problem 7.10.2 Ass 4, due Thursday March 21 More relevant problems from Haberman (4th edition): * Fourier Transforms - example in Sec 10.4.1; problems 10.4.3, 10.4.6; example at the end of Sec 10.6.3; problems 10.6.1(a), 10.6.18 * Laplace transforms - problems 13.4.3, 13.4.4, 13.5.3 * Characteristics - example starting with eq (12.2.13); problems 12.2.5(b) and (d); Sec 12.6.5; problems 12.6.3, 12.6.8, 12.6.9 |

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