MATH 2019
Johnson & Wales University-Charleston
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A complete set of all the lectures | MATH2019 ENGINEERING MATHEMATICS 2E | correct solutions
- Exam (elaborations) • 325 pages • 2022
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LECTURE 1 
PARTIAL DIFFERENTIATION 
In your previous studies the focus was on functions of a single variable y = f(x) and 
their rates of change dy 
dx. It is however quite rare for a quantity of interest to depend on 
only one variable and in complicated physical systems it may be the case that the variable 
you are concerned with may depend upon dozens of other variables. Partial differentiation 
is the extension of our usual calculus to functions of several variables. 
Given a function of two...
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