AMATH 231
Coordinates
ASSIGNMENT # 7 Vector Identities and Curvilinear
Fall 2014
Due Monday, November 17, 2014 at 2pm in box 7, slot 11 (A-M) and 12 (N-Z), located
across from MC4066. Late assignments
AMath 231
ASSIGNMENT #10: Fourier Series, Convergence
Spring 2014
Due on or before Thursday, July 24th at noon in the correct drop slot.
1. Use Parsevals formula and a suitable Fourier series to sum
n
AMath 231
ASSIGNMENT #11: Fourier Transforms
Spring 2014
Not due in, but you are responsible for this material for the nal exam.
1. Show that the Fourier transform of
2
.
1 + 2
Sketch the graphs in th
AMath 231, Spring 2014
Assignment 2 Solutions
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1.
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AMath 231, Spring 2014
Assignment 5 Solutions
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AMath 231, Spring 2014
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Assignment 3 Solutions
1. (a) The speed of the particle is given by
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AMath 231, Spring 2014
Assignment 7 Solutions
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AMath 231, Spring 2014
Assignment 9 Solutions
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AMath 231, Spring 2014
Assignment 8 Solutions
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AMath 231
ASSIGNMENT #9: Fourier Series
Spring 2014
Due on or before Thursday, July 17th at noon in the correct drop slot.
1. Let C[a, a] be the space of continuous functions on the interval [a, a]. G
AMath 231
ASSIGNMENT #8: Applications of Vector Calculus
Spring 2014
Due on or before Thursday, July 10th at noon in the correct drop slot.
1. Determine whether the vector eld F = (y cosh z, x cosh z,
AMATH 231
Coordinates
ASSIGNMENT # 7 Vector Identities and Curvilinear
Fall 2014
Due Monday, November 10, 2014 at 2pm in box 7, slot 11 (A-M) and 12 (N-Z), located
across from MC4066. Late assignments
AMATH 231
ASSIGNMENT # 10 Fourier Series
Fall 2014
Due Monday, December 1, 2014 at 2pm in box 7, slot 11 (A-M) and 12 (N-Z), located across
from MC4066. Late assignments or assignments submitted to th
Lecture 30: AMATH 231-F14-001
4.4
November 17, 2014
Maxwells Equations
In this subsection we derive Maxwells equations using the theorems of vector calculus.
4.4.1
Gauss Law
The electrostatic force el
Lecture 24: AMATH 231-F14-001
4.2
4.2.1
November 3, 2014
Gauss Theorem
The Theorem
Theorem 4.7 Let be a bounded subset of R3 whose boundary, is a single piecewise smooth orientated closed surface. If
AMath 231
ASSIGNMENT # 1: Review and Curves
Spring 2014
Due on or before Thursday, May 15th at noon in location to be announced. Late assignments or those put into the wrong drop slot will not be mark
AMath 231
ASSIGNMENT # 2: Vector Fields
Spring 2014
Due on or before Thursday, May 22nd at noon in the correct drop slot.
NOTE: Monday May 19th is a holiday, and there is no tutorial on Wednesday the
AMath 231
ASSIGNMENT # 3: Line Integrals
Spring 2014
Due on or before Thursday, May 29th at noon in the correct drop slot.
1. Consider a particle with position given by
x = g(t) = (et cos t, et sin t)
AMath 231
ASSIGNMENT # 4: Greens Theorem, Cons. Fields
Spring 2014
Due on or before Thursday, June 5th at noon in the correct drop slot.
1.
(i) Consider the closed curve C, x(t) = (a cos t, b sin t),
AMath 231
ASSIGNMENT #7: More
; Gauss & Stokes Thms.
Spring 2014
Due on or before Thursday, July 3rd at noon in the correct drop slot.
1. Show that the velocity v of a particle in cylindrical coordina
AMath 231
ASSIGNMENT # 5: Surfaces, Scalar Surf. Integrals
Spring 2014
Due on or before Thursday, June 12th at noon in the correct drop slot.
1. Sketch the given surface x = g(u, v), where g : Duv R3
AMATH 231 - Midterm Exam.
[2]
Page 1 of 7
Fall Term 2013
1. (a) Sketch the curve parameterized by x = g(t) = (t, t2 ) for 1 t 1.
Let x(t) = t, then y(t) = t2 = x2 for t [1, 1] which describes the foll
AMath 231
ASSIGNMENT #7: More
; Gauss & Stokes Thms.
Spring 2015
Due on or before Thursday, June 24th at the usual time and place. This is the last
assignment before the midterm, and you likely wont g
AMath 231
ASSIGNMENT #8: Applications of Vector Calculus
Spring 2015
Due on or before Thursday, July 9th at the usual time and place.
1. The electric potential u(x) in R3 due to a point charge q at x0
AMath 231
ASSIGNMENT #9: Fourier Series
Spring 2015
Due on or before Thursday, July 16th at the usual time and place.
1. Let f (x) =
0 if < x < 0
.
x if 0 < x <
(a) Find the Fourier series of f .
(b)