- Logarithms and Anti Logarithms
- Growth, Reduction, Simple and Compound Interest and the Value of 'e'
- Trigonometry
- Introduction to Coordinate Geometry
- Introduction to Scalars, Vectors, Matrices and Tensors
- Matrix Algebra
- Vector Algebra
- Complex Numbers Algebra
- Quaternion Algebra
- Advanced Cartesian Coordinate Geometry
- Transformation
- Lines
- Derivation/Representation of Equation of Lines
- Conversion Between Different Forms of Line Equations
- Finding Points on Lines
- Intercepts of Lines
- Types of Lines in 2D
- Types of Lines in 3D
- Condition for Collinearity of 3 Points
- Angle Between 2 Lines
- Distance from a Line
- Projection of Point on a Line
- Relation Between 2 Lines
- Condition of Concurrency of 3 Lines
- Family of Lines in 2D

- Planes
- Derivation/Representation of Equation of Planes
- Conversion Between Different Forms of Plane Equations
- Finding Points on Planes
- Intercepts of Planes
- Types of Planes
- Condition for Coplanarity of Four Points
- Distance from a Plane
- Projection of Point on a Plane
- Projection of Line/Vector on a Plane
- Point of Intersection between a Line and a Plane
- Angle Between a Line and a Plane
- Angle Between 2 Planes
- Relation Between 2 Planes
- Relation Between 3 Planes
- Family of Planes

- Introduction to Quadratic Curves
- Circle
- Parabola
- Ellipse
- Hyperbola
- Introduction to Quadratic Surfaces
- Sphere
- Paraboloid
- Ellipsoid
- Hyperboloid

- Complex Vector Algebra
- Differential Calculus
- Integral Calculus
- Differential Geometry
- Integral Transforms
- Probability
- Statistics