Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright
Calculus2 Lecture notes 2012 Fall semester 
9.1 ThreeDimensional 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

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

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 
+Midterm Exam 
+Final Exam 