I am in the process of studying for my math finals, and I was wondering if anyone could help me find some math problems that I could work on to prepare.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks!

Joe

These are the topics:

1 Vectors

a. Dot Product a•b=|a||b|cos(θ)

i. Angles between vectors

ii. Projections

iii. Orthogonality

b. Cross Product

c. Triple Product

d. Lines in space

i. Vector equations

ii. Cartesian equations

e. Planes (normal vectors)

f. Parameterized curve

i. Derivatives

ii. Velocity, acceleration

h. Arc length

2 Differential Calculus of several variables

a. Surfaces in |R3

b. Limits of functions of 2 or more variables

c. Continuity

d. Partial derivatives

e. Gradient

f. Directional derivatives

g. Differentiability and linearization (tangent plane approximation)

h. Functions defined implicitly

i. Implicit differentiability

j. Tangent plane to level surface

k. Chain rule

l. Application to maxima/minima

m. Finding and classifying critical points(Hessian)

n. Finding absolute maxima/minima on a closed, bounded set.

3 Integral Calculus

a. Multiple integrals

b. Iterated integrals

c. Changing order of integration

d. Polar, cylindrical, spherical cords

e. Area, vol, mass, center of mass

f. Improper integrals

4 Vector fields

a. Vector fields

b. Curl

c. Divergence

d. Line integrals and work

e. Conservative Fields

i. Tests

ii. Finding potentials

iii. Fundamental theorem of calc.

iv. Green’s theorem

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# Need math problems

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