handout_Math_Phys_Bkgnd

handout_Math_Phys_Bkgnd - in units of[sec on the horizontal...

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EE2011 C2004 Expected Math & Physics Background Math Derivative dy/dx Concept: On a two-dimensional plot, the derivative is a slope. The derivative tells you how a change in one variable affects another. Note that the derivative has units of [units of y]/[units of x]. So if we are plotting time t in units of [sec] on the horizontal axis and position y in units of meters [m] on the vertical axis, the slope dy/dt has units of [m/sec] and is a velocity.

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Expectation: You should be able to understand the derivative conceptually, and determine a derivative graphically from a plot, and be able to compute the derivative of simple functions (polynomial, exponential, sine, cosine) Integral Concept: On a two-dimensional plot, the integral is an area. The integral of the function f(x) is a limit of summation of small areas f(x)dx. The integral tells you a "total contribution" of one variable over a range of values of another variable.
Note that the derivative has units of [units of y]×[units of x]. So if we are plotting time t

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Unformatted text preview: in units of [sec] on the horizontal axis and current i in units of Amperes [A] on the vertical axis, the integral has units of [A×sec]. Since the units of A are [coul/sec], the time integral of current has units of [coul] or charge. Expectation: You should be able to • understand the integral conceptually, and • determine an integral graphically from a plot, and • be able to compute the integral of simple functions (polynomial, exponential, sine, cosine) Physics Basic Units • Length: meters [m] • Mass: kilogram [kg] • Time: second [sec] • Charge: Coulomb [coul] Derived Units • Force: Newton [kg . m/sec 2 ] • Energy: Joule [N . m] or [kg . m 2 /sec 2 ] • Power: Watt [joul/sec] Expectation: You should be able to • understand basic and derived units conceptually, and • perform calculations with units (which helps as a sanity check your answer!) Multipliers...
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handout_Math_Phys_Bkgnd - in units of[sec on the horizontal...

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