Week 1

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!)

파 일 명

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Cal_2weeks_A Sakti

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Cal_7weeks_A Sakti

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Cal_9weeks_A Ramana

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Cal_11weeks_A Siva

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Cal_15weeks_A Karjanto

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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/ .