*Maths: Table of Contents*

- Logarithms and Anti Logarithms
- Growth, Reduction, Simple and Compound Interest and the Value of 'e'
- Basic Cartesian Coordinate Geometry
- Trigonometry
- Matrix Algebra
- Complex Numbers Algebra
- Quaternion Algebra
- Vector Algebra
- Advanced Cartesian Coordinate Geometry
- Transformation
- Lines
- Types of Lines in 2D
- Derivation/Representation of Equation of Lines in 2D
- Types of Lines in 3D
- Derivation/Representation of Equation of Lines in 3D
- Condition for Collinearity of Three Points
- Angle between Two Lines
- Distance between Point and Line
- Projection of Point on a Line
- Point of Intersection of Two Lines
- Distance Between Two Lines
- Condition for Concurrency of Lines

- Planes
- Types of Planes
- Derivation/Representation of Equation of Planes
- Condition for Coplanarity of Four Points
- Angle between Two Planes
- Distance between Point and Plane
- Projection of Point on a Plane
- Distance between a Line and a Plane
- Point of Intersection between a Line and a Plane
- Projection of Line/Vector on a Plane
- Line of Intersection of Two Planes
- Distance Between Two Planes
- Condition for Collinearity of Planes
- Condition for Concurrency of Planes

- Quadratic Curves and Family of Lines in 2D
- Family of Lines in 2D
- Circle
- Parabola
- Ellipse
- Hyperbola

- Quadratic Surfaces in 3D
- Family of Planes
- Sphere
- Ellipsoid
- Paraboloid
- Hyperboloid

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