Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright
Calculus-2 Lecture notes 2012 Fall semester |
9.1 Three-Dimensional Coordinate Systems 9.2 Vectors |
12.1 Double Integrals over Rectangles 12.2 Iterated Integrals 12.3 Double Integrals over General Regions |
9.3 The Dot Product 9.4 The Cross Product 9.5 Equations of Lines and Planes
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12.4 Double Integrals in Polar Coordinates 12.6 Surface Area |
9.6 Functions and Surfaces 9.7 Cylindrical and Spherical Coordinates |
12.7 Triple Integrals 12.8 Triple Integrals in Cylindrical and Spherical Coordinates 12.9 Change of Variables in Multiple Integrals |
10.1 Vector Functions and Space Curves 10.2 Derivatives and Integrals of Vector Functions 10.3 Arc Length and Curvature |
13.2 Line Integrals 13.3 The Fundamental Theorem for line Integrals |
10.4 Motion in Space: Velocity and Acceleration 10.5 Parametric Surfaces |
13.4 Green's Theorem 13.5 Curl and Divergence |
11.2 Limits and Continuity 11.3 Partial Derivatives
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13.6 Surface Integrals |
11.4 Tangent Planes and Linear Approximations 11.5 The Chain Rule 11.6 Directional Derivatives and the Gradient Vector 11.7 Maximum and Minimum Values |
13.7 Stokes' Theorem 13.8 The Divergence Theorem |
+Mid-term Exam |
+Final Exam |