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Calculus 3 (Multivariable Calculus)
 Topics covered: Vectors, dot and cross products, surfaces,
differentiation of functions in several variables, arc length and
curvature, partial derivatives, differentials, tangent planes and
normal lines, extremas, LaGrange multipliers, differential equations,
multiple integration, surface area, vector fields, Green's theorem,
Divergence theorem, Stoke's Theorem.
Prerequisite: MATH 1401/1501 & 1411/1511 (or approval from chair)
Software: We will make use of the
DyKnow client software.
Please download and install that software.
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General Information
Practice Exams
Resources
Maple Assignments
Lectures
- 35: Stoke's Thm [
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- 34: Flux [
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- 33: Review [
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- 31: Surface Int [
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- 30: Green's Thm [
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- 29: Fund. Thm [
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- 28: From Curl to Work [
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- 27: Work integral [
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- 26: Conservative fields [
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- 25: Vector fields [
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- 24: Applications of int [
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- 21: Polar coordinates [
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- 20: More integration [
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pdf ]
- 19: Integration [
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- 18: Abs Extrema [
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- 17: Local extrema [
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- 16: Gradient [
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- 15: Chain rule [
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- 14: Partial derivatives [
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- 13: Functions and limit [
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- 12: Motion in 3D [
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pdf ]
- 11: Curvature [
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- 10: Tangents and normals [
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pdf ]
- 09: Space curves [
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- 08: Distances [
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- 07: Planes [
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- 06: Lines etc [
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- 05: Cross product [
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- 04: dot product [
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- 03: HW review [
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pdf ]
- 02: Points & Vectors [
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- 01: Intro [
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Assignments
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