1.1 Scalar and vector product of three vectors
1.2 Product of four vectors
1.3 Vector differentiation
1.4 Vector integration
2.1 Space curve
2.2 Tangent (t), Normal (n) and Binormal (b) vectors
2.3 Fundamental planes
2.4 Curvature
2.5 Torsion
2.6 Frenet–Serret formula
3.1 Gradient
3.2 Divergence
3.3 Curl
3.4 Directional derivative
4.1 Different forms of sphere
4.2 Section of a sphere by a plane
4.3 Sphere through a given circle
4.4 Orthogonal sphere
4.5 Condition of orthogonality
Interpret the vectors, their products, differentiation and integration.
CO2: Define and determine the curvature and torsion of a curve.
CO3: Apply the concepts of divergence, curl which are useful in Physics.
CO4: Study different forms of sphere.
126205 BSC Semester 2 Mathematics (NEP)
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