Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright  http://bkmath.skku.ac.kr/  .

 

 

 

 

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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Cal_5weeks_A   Ramana   

Cal_5weeks_B   Siva         

Cal_6weeks_A   Karjanto         

Cal_6weeks_B   Siva         

Cal_7weeks_A   Sakti       

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Cal_9weeks_A   Ramana    

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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  http://bkmath.skku.ac.kr/ .