This is list of all the HWs. All problems are from Mary Boas, second edition.
|
HW |
notes |
|
HW 1 chapter one 1.5, 2.6, 2.7, 4.2, 4.4, 5.8, 6.1, 6.2, 6.3, 6.5, 6.7, 6.8, 6.11, 6.12, 6.15, 6.16, 6.17, 6.18, 6.21, 6.27, 6.33, 6.34, 6.35, 7.2, 7.3, 7.5, 7.6, 9.1, 9.3, 9.7, 9.12, 9.21, 10.1, 10.3, 10.15, 10.19, 10.20, 13.2, 13.6, 13.8, 13.13, 13.14, 13.16, 13.17, 13.33, 13.37, 13.40 |
Infinite series, power series, convergence, interval of, etc. |
|
HW 2 chapter one 14.9, 15.5, 15.11, 15.16, 15.18, 16.3, 16.22 chapter 2 4.7, 4.14, 5.6, 5.13, 5.20, 5.32, 5.39, 5.45, 5.51, 5.53, 5.55, 5.56, 5.60, 5.62, 6.4, 6.10, 6.12, 7.3, 7.12, 8.1, 8.2 |
Rest of chapter one, on infinite series and power series. And chapter 2, complex numbers, complex series, circle of convergence. |
|
HW 3 chapter 2 9.2, 9.12, 9.19, 9.24, 9.27, 9.28, 10.18, 10.22, 10.28, 11.5, 11.6, 11.11, 11.18, 14.6, 14.9, 14.14, 14.22, 14.24, 15.13, 16.7, 16.11, 17.14, 17.17, 17.23, 17.23, 17.24, 17.30, 17.32 |
Rest of chapter 2, complex numbers, Euler formulas, log and powers of complex numbers, complex roots, inverse trig and some applications. |
|
HW 4 chapter 4 1.6, 1.7, 1.23, 1.24, 2.3, 2.6, 2.8, 4.2, 4.8, 4.9, 4.10, 4.13 |
Partial differentiation, power series in 2 variables. |
|
HW 5 chapter 4 5.3, 5.4, 6.3, 6.5, 6.6, 7.3, 7.5, 7.8, 7.15, 7.19, 8.1, 8.2, 8.3 |
More Partial differentiation, Chain rule, min and max problems. |
|
HW 6 chapter 4 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, 9.8, 10.2, 10.7, 10.10, 11.1, 11.3, 11.6, 11.7, 11.8, 11.9, 12.1, 12.2, 12.4, 12.7, 12.8 |
More Partial differentiation, min and max problems. |
|
HW 7 chapter 14 1.6, 1.12, 2.22, 2.23, 2.34, 2.37, 2.40, 2.55, 2.56, 2.60, 3.2, 3.5, 3.17, 3.18, 3.19, 3.20, 3.23, 4.6, 4.7, 4.9, 4.10, 5.1 |
Function of complex variables. Analytic functions, cotour integration, Laurent series, Residue |
|
HW 8 chapter 14 6.5, 6.6, 6.7, 6.8, 6.9, 6.15, 6.19, 6.23, 6.31, 7.5, 7.12, 7.18, 7.20, 7.29, 7.30, 7.34, 7.45, 8.4, 8.5, 8.15 |
Function of complex variables. Methods of finding residues, integration using residues, residues at infinity. |
|
HW 9 chapter 14 9.2, 9.3, 9.4, 9.7, 10.5, 10.6, 10.11, 10.13 chapter 7 3.4, 3.6
|
Function of complex variables. Mapping, applications of conformal mapping. Start of chapter 3. Linear equations, vectors and matrices. |
|
HW 10 chapter 7 4.2, 4.5, 4.8, 4.10, 4.12, 4.13, 4.15, 5.2, 5.4, 5.5, 5.8, 5.10, 6.5, 7.4, 7.7, 7.12, 8.12
|
Fourier series. |
|
HW 11 chapter 15 2.2, 2.3, 2.4, 2.5, 2.9, 2.11, 2.17, 2.18, 2.21, 2.22, 2.23, 3.4, 3.6, 3.8, 3.11, 3.24, 3.25, 3.29, 3.30
|
Integral transforms. Laplace transform, Solution of ODE using Laplace. |
|
HW 12 chapter 15 4.3, 4.5, 4.7, 4.12, 4.18, 4.20, 4.21, 4.23, 4.25, 5.1, 5.2, 5.10, 5.22, 6.2, 6.4, 6.5, 6.9, 7.7, 7.9, 7.11
|
Integral transforms. Fourier transform, Convolution, Inverse Laplace, Dirac delta. |
|
HW 13 chapter 15 (Integral transforms) 8.2, 8.3, 8.12, 8.15, 8.17 chapter 9 (Calculus of Variations) 2.1, 2.3, 2.6, 3.1, 3.2, 3.4, 3.6, 3.9, 5.2, 5.6, 6.1, 6.2, 6.5
|
Integral transforms: Green functions. Calculus of Variations: Euler equation, Using Euler equation, Isoperimetric problems |
|
|
|
|
|
|