Differential Equations Flashcards

0
Q

Writing limits of multivariable functions

A

Lim(x,y)→(a,b) for f

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
1
Q

Euler’s method for differential equations

A

D

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Boundry point

A

Any point that exists on the border of a set of points that meet a multivariable equation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Interior point

A

Point that exists within the set of points that fit the multivariable equation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Open set

A

A set of only interior points

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Closed sets

A

A set of points that include all boundary points for a multivariable equation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

2 path test

A

If there are two paths to the (x,y) point, the limit does not exist

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Partial derivatives for x-value

A

Lim(h→0) [f(a+h,b)-f(a,b)]/h

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Partial derivatives for y-value

A

Lim(h→0) [f(a+h,b)-f(a,b)]/h

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Higher order Derivatives

A

J

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Differentiable points on a region

A

Of a function is differentiable at one point, its differentiable at all points

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Chain Rule (One independent Variable)

A

H

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Chain Rule (Two independent Variables)

A

S

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Implicit Differentiation

A

dy/dx=-F(x)/F(y)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Directional Derivative

A

Lim(h→0) (f(a+hcosθ,b+hsinθ)-f(a,b))/h

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Check for extrema in surfaces using differtial equations

A

P