Summary

2MVA Summary Flashcards (Multivariable and Vector Analysis)

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Module
2MVA Multivariable and Vector Analysis

Institution
The University Of Birmingham (UBir)

These are my summary flashcards for second year maths module 2MVA Multivariable and Vector Analysis. I created them using GoodNotes while revising for MVA in my second year. These flashcards are by far the best thing I used in my revision for my exam. Because of these flashcards, I ended up gett...

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Uploaded on December 1, 2022
Number of pages 111
Written in 2021/2022
Type Summary

mva
analysis
birmingham
mathematics
multivariable
vector
calculus
integration
year 2
second year
maths
flashcard
goodnotes
flash
cards
uob
summary
notes

Define

12V sunc. of 2
vas

what is its graph?

QUESTION

C
is we that
function

1
A a

to each element of th
assigns
element of
exactly
one
denan
its derai

IR-value is a
DEF *2-var
DEIR" -> CEIR
Auction f:

surface in 3D space
is
graph
In a

⑩
ANSWER

, Define

verhill section
<both
types

Define

Level care

QUESTION

A
DEF vertical section; the irelection
A

with rehid places
of auction f(x,y)
ko 1
y
=

x =

are is the ilelection
DEF
A level
with hazeral

i
of duction f(xy)
12
plez f(x,y)
=
=

ANSWER

, For 2d3-vor RV fnce,...

Define

the
of

inas
Cenchically
Other relation:

QUESTION

~ S. Scin
Cab anin
b
y
=

8f(a,b)
DEF Partial devi of f(x,y) no+
x
-x

is the slope
of the interection off(x)
with b That is,
y at
=

x = a.

xx,b) f(a,1)
(n f(a
- f(a,b) +
-

=

I Δx
-x
ff(x,b)
2x
=

x a

For Ever some: its slope of single
all
vor function is atx: a
holding
other variables castant.
ANSWER

, State & Prove

Linearity, product/
quodent rule for
partials

QUESTION

Au hold

r(av(x,y) +
bu(x,y)) (ar(x,y) + bu(x,y))
=

=

a
iw(x,y) + brh(x,y)

b+ bo
-
c
a

Others similar

ANSWER

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