Equation of a sphere

Intersection of a sphere and a plane, tangent plane, normal lines

Right circular cone

Right circular cylinder

Rank of a matrix, inverse of a matrix by elementary transformations

Solution of simultaneous linear equations

Eigen values and Eigen vectors, Cayley – Hamilton theorem (without proof)

Diagonalization of matrix

Scalar and vector field, differentiation & integration of vector functions

Gradient, Divergence, Curl and Differential Operator

Line, Surface and volume Integrals

Green’s Theorem in a Plane, Gauss’ and Stoke’s Theorem (without proof) and their Applications

Angular Motion, Radial and Transverse Velocities and Accelerations

Tangential and Normal Accelerations

Rectilinear Motion in Resisting Medium

Series Solutions of Second Order Linear Differential Equations with Variable Coefficients (Complementary Functions only)

Partial Differential Equations of First Order

Lagrange’s Form, Standard Forms

Charpit’s Method