Course outcomes:
Co1: Understand to use Vectors , planes in 3 D, Multivariate Functions, Limits, Continuity in software.
CO2: Understand to use Partial Derivatives, Differentiability, Directional Derivatives and Gradient inSoftware
CO3: Understand to use : Double Integrals in Cartesian and Polar Coordinates, Surface Area. Cylindrical and Spherical Coordinates, Triple Integrals, Change of Variables in Software
CO4: Understand to use Green’s theorem, stokes theorem, Divergence theorem in software.
- Vectors, Lines and Planes in 3D, Cylinders and Quadric Surfaces.
- Vector Valued Functions, Space curves, Arc Length and Curvature.
- Multivariate Functions, Limits, Continuity.
- Partial Derivatives, Differentiability, Directional Derivatives and Gradient.
- Tangent Plane, Extrema of Multivariate Functions, Lagrange Multiplier.
- Double Integrals in Cartesian and Polar Coordinates, Surface Area.
- Cylindrical and Spherical Coordinates, Triple Integrals, Change of Variables.
- Vector Differentiation, Line Integrals, Independence of Path.
- Green’s theorem in Plane, Curl and Divergence.
- Surface Integrals.
- Stoke’s Theorem.
- Divergence Theorem.
Resource: http://matrix.skku.ac.kr/Cal-Book/