MA 26100
Multivariate Calculus
Spring 2023
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Lesson 1 13.1–13.4 Review of Vectors
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Lesson 2 13.5 Lines and Planes in Space
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Lesson 3 13.6 Part 1: Quadric Surfaces
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Lesson 4 13.6 Part 2: Quadric Surfaces
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Lesson 5 14.1 Vector-Valued Functions
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Lesson 6 14.2, 14.3 Part 1: Calculus of Vector-Valued Functions, Motion in Space
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Lesson 7 14.3 Part 2: Motion in Space
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Lesson 8 14.4 Length of Curves and 14.5 Curvature
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Lesson 9 15.1 Functions of Several Variables
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Lesson 10 15.2 Limits and Continuity
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Lesson 11 15.3 Partial Derivatives
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Lesson 12 15.4 The Chain Rule
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Lesson 13 15.5 Directional Derivative and the Gradient
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Lesson 14 15.6 Tangent Plane and Linear Approximation
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Lesson 15 15.7 Part 1: Maximum and Minimum Problems
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Lesson 16 15.7 Part 2: Maximum and Minimum Problems
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Lesson 17 15.8 Lagrange Multipliers
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Lesson 18 16.1 Double Integrals over Rectangular Regions
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Lesson 19 16.2 Double Integrals over General Regions
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Lesson 20 16.3 Double Integrals in Polar Coordinates
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Lesson 21 16.4 Triple Integrals
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Lesson 22 16.5 Cylindrical Coordinates
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Lesson 23 16.5 Spherical Coordinates
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Lesson 24 16.6 Integrals in Mass Calculations
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Lesson 25 17.1 Vector Fields
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Lesson 26 17.2 Part 1: Line Integrals of Functions
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Lesson 27 17.2 Part 2: Line Integrals of Vector Fields
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Lesson 28 17.3 Conservative Vector Fields and the Fundamental Theorem of Line Integrals
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Lesson 29 17.4 Green's Theorem
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Lesson 30 17.5 Curl and Divergence
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Lesson 31 17.6 Part 1: Surface Integrals
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Lesson 32 17.6 Part 2: Surface Integrals
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Lesson 33 17.6 Part 3: Surface Integrals
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Lesson 34 17.7 Part 1: Stokes' Theorem
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Lesson 35 17.7 Part 2: Stokes' Theorem
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Lesson 36 17.8 Part 1: Divergence Theorem
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Lesson 37 17.8 Part 2: Divergence Theorem
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Exam 1 Review
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Exam 2 Review
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Final Exam Review, Part 1
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Final Exam Review, Part 2
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Final Exam Review, Part 3