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2MVA Summary Flashcards (Multivariable and Vector Analysis)
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  • Course
  • 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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Document information

  • December 1, 2022
  • 111
  • 2021/2022
  • Summary

Subjects

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

Written for

  • The University of Birmingham (UBir)
  • Unknown
  • 2MVA Multivariable and Vector Analysis
All documents for this subject (1)

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tomnwright

Content preview

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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