Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright 

http://bkmath.skku.ac.kr/  .

 

Calculus-2

Lecture notes 2012 Fall semester

 

Mikhail_1week

    9.1 Three-Dimensional Coordinate Systems

    9.2 Vectors

Mikhail_9week

    12.1 Double Integrals over Rectangles

    12.2 Iterated Integrals

    12.3 Double Integrals over General Regions

Sakthivel_2week

    9.3 The Dot Product

    9.4 The Cross Product

    9.5 Equations of Lines and Planes

Mikhail_10week

    12.4 Double Integrals in Polar Coordinates

    12.6 Surface Area

Sakthivel_3week (VOD1 VOD2)

    9.6 Functions and Surfaces

    9.7 Cylindrical and Spherical Coordinates

Mikhail_11week (VOD1 VOD2)

    12.7 Triple Integrals

    12.8 Triple Integrals in Cylindrical and Spherical Coordinates

    12.9 Change of Variables in Multiple Integrals

Mikhail_4week

    10.1 Vector Functions and Space Curves

    10.2 Derivatives and Integrals of Vector Functions

    10.3 Arc Length and Curvature

Sakthivel_12week (VOD1 VOD2)

    13.2 Line Integrals

    13.3 The Fundamental Theorem for line Integrals

Sakthivel_5week

    10.4 Motion in Space: Velocity and Acceleration

    10.5 Parametric Surfaces

Mohit-Kumbhat_13week

    13.4 Green's Theorem

    13.5 Curl and Divergence

Sakthivel_6week (VOD1 VOD2)

    11.2 Limits and Continuity

    11.3 Partial Derivatives

Mohit-Kumbhat_14week

    13.6 Surface Integrals

Mikhail_7week

    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

Mikhail_15week

    13.7 Stokes' Theorem

    13.8 The Divergence Theorem

+Mid-term Exam

+Final Exam