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Virginia Polytechnic Institute and State University
MATH
Courses in MATH
MATH 1225 | Calculus of a Single Variable
Documents:
8
MATH 2114 | Introduction to Linear Algebra
Documents:
3
MATH 2204 | Introduction Multivariable Calculus
Documents:
26
Popular Documents from Virginia Polytechnic Institute and State University
Triple Integrals Daniel Eisert | Math-2204 Triple Integrals can easily be defined for functions of three variables. Triple Riemann sums can be formed by dividing a given into subintervals for Δx , Δy , and Δz . ∭ f ( x,y,z ) dV = lim l,m,n→∞ ∑ i = 1
MATH-1225 Chapter IV Daniel T. Eisert MATH-1225: Calculus as a Single Variable Page 1 of 1 Given a function, f , prove that... f has at least one root Intermediate Value Theorem f has at most one root If two roots, use Rolle's Theorem (contradition)
Double Integrals in Polar Coordinates Daniel Eisert | Math-2204 Polar Coordinates 1. r 2 = x 2 + y 2 2. x = r cos θ 3. y = r sin θ If f is continuous on a polar rectangle R given by 0 ≤a≤r,α≤θ≤β, where 0 ≤β − α≤ 2 π , then: ∬ f ( x,y ) dA = ∫ α β
Double Integrals Over Rectangles Daniel Eisert | Math-2204 Double Integral of f over the rectangle R is ∬ f ( x,y ) dA = lim m,n→∞ ∑ i = 1 m ∑ j = 1 n f ( x ij ¿ ,y ij ¿ ) ∆A if the limit exists. Volume: if f ( x,y ) ≥ 0 , then the volume V of th
Vector Functions & Space Curves Daniel Eisert | Math-2204 Vector-valued function (vector function): a function whose domain is a set of real numbers and whose range is a set of vectors. We want to focus in vector functions r whose values are three-