Mathematics II
3 Functions of more than one variable
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Notes
1
Complex Numbers
2
Second Order Linear Differential Equations
3
Functions of more than one variable
4
Series and Limits
5
Two–by–Two Matrices
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Chapter 3
Functions of more than one variable
3.1
Functions of several variables
3.1.1
Symmetries
3.2
Partial Derivatives
3.2.1
Reminder: Derivative of a function of one variable
3.2.2
Derivatives for functions of two variables
3.2.3
Higher Derivatives, Notation
3.2.4
Minima, Maxima and Saddle points
3.3
Curves on Surfaces
3.3.1
Parametric curves in the
x
–
y
–plane
3.3.2
Parametric urves on Surfaces
3.3.3
Change of height along a Curve
3.4
The Gradient
3.4.1
Definition of the Gradient
3.4.2
Examples
3.4.3
Gradient and Differential; Geometrical Meaning
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