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Study Guide for Multivariable Calculus Ren Yi December 15, 2017 1 Vectors {Vectors between two points: AB~ = (b 1 a 1;b 2 a 2;b 3 a 3). {Magnitude/ Length: j~aj= p a2 1 + a2 2 + a2 3

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1: Introduction to Calculus. 1.1 Velocity and Distance 1.2 Calculus Without Limits 1.3 The Velocity at an Instant 1.4 Circular Motion 1.5 A Review of Trigonometry 1.6 A Thousand Points of Light 1.7 Computing in Calculus (PDF - 1.2MB) 2: Derivatives. 2.1 The Derivative of a Function 2.2 Powers and Polynomials 2.3 The Slope and the Tangent Line

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Supplementary Notes for Multivariable Calculus, Parts I through V. The Supplementary Notes include prerequisite materials, detailed proofs, and deeper treatments of selected topics. Chapter 1: An Introduction to Mathematical Structure (PDF - 3.4MB) Chapter 2: An Introduction to Vector Arithmetic (PDF - 2.1MB)

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