Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright  .





Week 1

9.1 Three-Dimensional Coordinate Systems

9.2 Vectors

9.3 The Dot Product


Week 9

12.1 Double Integrals over Rectangles

12.2 Iterated Integrals

12.3 Double Integrals over General Regions


Week 2

9.4 The Cross Product

9.5 Equations of Lines and Planes

9.7 Cylindrical and Spherical Coordinates


Week 10

12.4 Double Integrals in Polar Coordinates

12.5 Applications of Double Integrals

12.6 Surface Area


Week 3

10.1 Vector Functions and Space Curves

10.2 Derivatives and Integrals of Vector Functions

10.3 Arc Length and Curvature

Week 11

12.7 Triple Integrals

12.8 Triple Integrals in Cylindrical and Spherical Coordinates

12.9 Change of Variables in Multiple Integrals


Week 4

10.4 Motion in Space: Velocity and Acceleration

10.5 Parametric Surfaces

Week 12

13.1 Vector Fields

13.2 Line Integrals


Week 5

11.1 Functions of Several Variables

11.2 Limits and Continuity

11.3 Partial Derivatives

Week 13

13.4 Green's Theorem-1

13.4 Green's Theorem-2


Week 6

11.4 Tangent Planes and Linear Approximations

11.5 The Chain Rule

11.6 Directional Derivatives and the Gradient Vector


Week 14

13.5 Curl and Divergence

13.6 Surface Integrals


Week 7

11.7 Maximum and Minimum Values

11.8 Lagrange Multipliers


Week 15

13.7 Stokes' Theorem-1

13.7 Stokes' Theorem-2



Week 8

  + Mid-Term

Week 16

  + Final Exam


Conditions on Lecture Files  (some will be repalced by a better ones!)


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Made by Sang-Gu Lee with Gooc-Hwa Jo and S.-T. Jin

 Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright .