**Algebra & General Mathematics**

- Algebraic functions
- Theory of equations
- Factorization and algebraic functions
- Ratio, proportion and variation
- Matrix theory
- Arithmetic and geometric progressions
- Equations and inequalities
- Linear and quadratic equations
- Complex number system
- Polynomials
- Mathematical induction
- Logic and probability
- Statistics

**Geometry**

- Lines and planes
- Plane figures
- Application of Cavalier’s, Pappus and Prismodial theorems
- Coordinates in space
- Quadratic surfaces
- Mensuration
- Plane geometry
- Solid geometry
- Spherical geometry
- Analytical geometry

**Trigonometry**

- Logarithmic principles
- Trigonometric functions
- Fundamental trigonometric identities
- Solutions of right and oblique triangles
- Applications of terrestrial mensuration
- Area, perimeter and centroid of plane figures
- Polar coordinates
- Spherical trigonometry

**Calculus**

- Complex variables
- Derivatives and applications
- Integration and applications
- Transcendental functions
- Partial derivatives
- Higher derivatives
- Indeterminate forms
- Multiple integrals
- Differential equations

**Mathematics Laws, Terms and Theories**

- Laws, theories and other rules relative to the fields of mathematics