Unformatted text preview: (c) Know behavior of solutions depending on eigenvalues, and phase portrait. (d) Know the classification of the equilibrium point which is the origin (e) Tell how the solution behaves as t → ∞ (f) Able to solve second-order linear equations. (g) Know harmonic oscillator - converting from a second order DE to a linear system, vice versa; classification of it. (h) Understand the trace-determinant plane. (i) Able to analyze one-parameter or two-parameter family of linear systems. 1 (j) Know how to calculate determinant of a 3 × 3 matrix. (k) Able to solve a linear system in three dimentsions. (l) Know how the system decouples. (m) Know how to calculate matrix exponential e At where A is a n × n matrix. (n) Able to get a solution of an initial value problem by using matrix exponential and matrix similarity. 2...
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- Fall '08