Classes April 2008
| Thu | Apr | 17 | Final Exam |
| Wed | Apr | 16 | No class, but Office hour 3–4 PM EH 3096 |
| Mon | Apr | 14 | Review for the final |
| Fri | Apr | 11 | Exercises on eigenvalues–eigenvectors (a glimpse on generalized eigenvectors) |
| Wed | Apr | 9 | Section 7.6 (Complex eigenvalues) |
| Mon | Apr | 7 | Section 7.4, 7.5 (Homogeneous linear systems with constant coefficients: eigenvalues–eigenvectors method) |
| Fri | Apr | 4 | Section 7.3 (Linear systems of algebraic equations, linear dependence of vectors) |
| Wed | Apr | 2 | Section 7.2 (Short review on matrices) |
Classes March 2008
| Mon | Mar | 31 | Section 7.1 (Systems of first order linear ODEs: introduction, Existence and Uniqueness Theorems) |
| Fri | Mar | 28 | Section 6.6 (The transfer function and integro-differential equations – cf. also ex #21 trhough #28 pg 352) |
| Wed | Mar | 26 | Second Midterm |
| Mon | Mar | 24 | Review for the Midterm |
| Fri | Mar | 21 | Section 6.6 (Convolution and solutions of a second-order non-homogeneous ODE w/ constant coefficients) |
| Wed | Mar | 19 | Sections 6.3–6.4 (Mechanical systems with discontinuous external force; step-function, translation on the t–axis) |
| Mon | Mar | 17 | Thm 6.3.2 + ex # 28 Section 6.2 (Translation on the s–axis, derivative of the Laplace transform, solutions of non-constant coefficients ODEs) |
| Fri | Mar | 14 | Section 6.2 (Examples of Laplace transforms, and solution of initial-value problems) |
| Wed | Mar | 12 | Section 6.1 (Laplace transform: definition, existence, linearity and some examples) |
| Mon | Mar | 10 | Section 5.6 (Series solutions near a regular singular point – Frobenius' method) |
| Fri | Mar | 7 | Section 5.5 (Solution of the Euler's equations) |
| Wed | Mar | 5 | Section 5.4 (Regular singular points and Euler's equations) |
| Mon | Mar | 3 | Section 5.3 (Fuchs' Thm, isolated singularities, poles of an analytic function, Laurent series) |
Classes February 2008
| Fri | Feb | 22 | Section 5.3 (Series solutions: the Hermite equation) |
| Wed | Feb | 20 | Section 5.2 (Series solutions near an ordinary point – case of constant coefficients) |
| Mon | Feb | 18 | Section 5.1 (Review of Power Series, radius of convergence, Taylor series) |
| Fri | Feb | 15 | Sections 4.2, 4.3 (Higher order ODEs: constant coefficients, method of undetermined coefficients) |
| Wed | Feb | 13 | First Midterm |
| Mon | Feb | 11 | Review for the Midterm |
| Fri | Feb | 8 | Section 3.7 (method of variation of parameters) |
| Wed | Feb | 6 | Section 3.6 (non-homogeneous case: method of undetermined coefficients) |
| Mon | Feb | 4 | Section 3.4 (case of a characteristic polynomial with complex roots and a glance at non-homogeneous linear ODE) | Fri | Feb | 1 | Section 3.5 with a glance at 3.4 (method of reduction of order and short review on Complex Numbers) |
Classes January 2008
| Wed | Jan | 30 | Section 3.1 (Homogeneous ODE with constant coefficients – order 2 so far...) |
| Mon | Jan | 28 | Section 3.3 (Linear dependence and Wronskians) |
| Fri | Jan | 25 | Sections 3.2 and 3.3 (Wronskian and Abel's theorem) |
| Wed | Jan | 23 | Section 3.2 with a glance at 4.1 (linear ODE of order n: existence and uniqueness theorem, principle of superposition for homogeneous linear ODE) |
| Mon | Jan | 21 | Martin Luther King Day (neither class, nor office hour) |
| Fri | Jan | 18 | Section 2.5 (isoclines and stable equilibria) |
| Wed | Jan | 16 | Section 1.1 and some 2.5 (direction fields and autonomous ODE) |
| Mon | Jan | 14 | Section 2.6 (exact ODE) |
| Fri | Jan | 11 | Section 2.4 (existence and uniqueness theorem for first order ODE – proof of the linear case and statement for the non-linear one) |
| Wed | Jan | 9 | Section 2.1 and some of 2.4 (method of integratng factor, theorem of existence and uniqueness of solutions for first order linear ODE) |
| Mon | Jan | 7 | Section 2.2 (separable ODE) |
| Fri | Jan | 4 | Sections 1.2–1.3 (notation and some examples) |