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UBC Math 217: Lecture Notes
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Lecture 1 (Sep. 5):
vectors in 3D (12.1-12.2)
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Lecture 2 (Sep. 10):
dot and cross products; lines and planes
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Lecture 3 (Sep. 11):
cylinders and quadric surfaces
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Lecture 4 (Sep. 12):
vectors functions, and their derivatives and integrals
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Lecture 5 (Sep. 17):
arc length and curvature; motion in space
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Lecture 6 (Sep. 19):
functions of several variables
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Lecture 7 (Sep. 24):
limits
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Lecture 8 (Sep. 25):
continuity
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Lecture 9 (Sep. 26):
partial derivatives and tangent planes
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Lecture 10 (Oct. 1):
linear approximation
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Lecture 11 (Oct. 2):
chain rule
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Lecture 12 (Oct. 8):
directional derivatives and the gradient
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Lecture 13 (Oct. 9-10):
maximum and minimum values
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Lecture 14 (Oct. 15):
Lagrange multipliers
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Lecture 15 (Oct. 16-17):
double integrals over rectangles
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Lecture 16 (Oct. 22):
double integrals over general regions
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Lecture 17 (Oct. 23):
double integrals in polar coordinates
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Lecture 18 (Oct. 24):
applications of double integrals; triple integrals
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Lecture 19 (Oct. 29):
triple integrals in cylindrical and spherical coordinates
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Lecture 20 (Oct. 30):
change of variables
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Lecture 21 (Oct. 31):
vector fields and line integrals
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Lecture 22 (Nov. 5):
line integrals of vector fields
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Lecture 23 (Nov. 6):
conservative vector fields and path independence
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Lecture 24 (Nov. 12):
Green's theorem
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Lecture 25 (Nov. 14):
curl and divergence
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Lecture 26 (Nov. 19):
parametric surfaces
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Lecture 27 (Nov. 20):
surface integrals
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Lecture 28 (Nov.21):
surface integrals of vector fields and Stokes theorem
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Lecture 29 (Nov. 26-27):
the divergence theorem
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