March 5
section covered in text
4.1. Introduction : The Simple Pendulum
objective
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to recognize the differential equation that governs the motion of the simple
pendulum and its solutions
key ideas and/or vocabulary
section covered in text
4.2. Linear Differential Operators
objective
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to recognize second order linear differential equations
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to understand how to use differential operators
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to be able to find solutions to second order linear differential equations
given initial conditions
key ideas and/or vocabulary
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coefficients: variable and constant
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homogeneous and nonhomogeneous equations
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operators: differential and linear
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existence and uniqueness of solution
solved problems - using key ideas
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determining if an equation is linear with constant
or variable coefficients or homogeneous, #1,3
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understanding differential operators, #9
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Lemma 1, #1 (nonlinear operator)
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Theorem 1 : linear combination of solutions
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finding solutions to equations with initial conditions,
13a
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D: differential operator notation, #23
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Theorem 2: existence and uniqueness of solutions,
#15, 21
announcements
Homework: #2,6,10,14,16,20,24,34a (due
3/12)
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QUESTION OF THE DAY
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Use the Fundamental Theorem of Calculus
to find the derivative of
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SOLUTION
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SOLUTION.
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