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gibson:teaching:fall-2015:math527:finalexamnotes [2015/12/10 12:27] gibson |
gibson:teaching:fall-2015:math527:finalexamnotes [2015/12/11 03:39] (current) gibson |
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| * exact | * exact | ||
| * 1st order linear | * 1st order linear | ||
| + | * substitutions: Bernoulli, homogeneous*, and $Ax + By + C$ | ||
| + | |||
| * 2nd and higher-order equations | * 2nd and higher-order equations | ||
| + | * reduction of order | ||
| * homogeneous constant coefficient ($y=e^{\lambda t}$ is your friend) | * homogeneous constant coefficient ($y=e^{\lambda t}$ is your friend) | ||
| * judicious guessing | * judicious guessing | ||
| * variation of parameters | * variation of parameters | ||
| + | |||
| * Laplace transforms | * Laplace transforms | ||
| * definitions, properties, and transforms & inverses of simple functions | * definitions, properties, and transforms & inverses of simple functions | ||
| * s-translation, t-translation | * s-translation, t-translation | ||
| * Heaviside and Dirac delta functions | * Heaviside and Dirac delta functions | ||
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| * Systems of linear equations | * Systems of linear equations | ||
| * matrices, vectors, $Ax=b$ problems, and determinants | * matrices, vectors, $Ax=b$ problems, and determinants | ||
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| * phase portraits | * phase portraits | ||
| + | Several of the teaching assistants have final exams for their graduate course Wednesday afternoon and Thursday. We do not expect to start grading the final exam until Friday morning. | ||