Paper I: Modules and Topics
Module |
Topics |
Linear Algebra |
Vector Spaces, Linear Transformations, Algebra of Matrices |
Calculus |
Functions of a Real Variable, Functions of Two or Three Variables, Integrals; Areas, Surfaces and Volumes |
Analytic Geometry |
Cartesian and Polar Coordinates, Second Degree Equations, Straight Lines, Geometric Objects |
Ordinary Differential Equations |
First Order ODEs, Second and Higher Order ODEs, laplcae Transform |
Dynamics and Statics |
Motion, Kepler’s Laws, Equiliobrium |
Vector Analysis |
Scalar and Vector Fields; Gradient, Divergence & Curl; Higher Order Derivatives, Identities & Equations, Applications to Geometry, Thereoms & Identities |