BINC Mathematics Statistics Physics and Chemistry Syllabus – Basic
Functions and Graphs: Functions, Relations, notation and representation. Graphs. Review of basic functions. Functions of several variables
2D coordinate geometry: Equation of a line, circle, ellipse, parabola, hyperbola
3D geometry: Equation of sphere, cone, direction cosines, equation of line
Basic trigonometric functions
Matrix algebra: Addition, subtraction, multiplication, transpose
Introduction to principles of statistical sampling from a population, random sampling
Frequency distributions and associated statistical measures, Probability distributions – normal and binomial
Particle dynamics, Newton’s laws of motion, velocity, acceleration, momentum
Pressure, temperature, volume relationship
First law of thermodynamics, isothermal process, entropy and second law of thermodynamics, reversible and irreversible processes; Concepts of enthalpy, internal energy and potential energy; Inter-relation between potential energy and force
Concept of pH, pK, chemical equilibrium, Henderson-Hasselbach equation, structure of water, chemical forces, hydrophilic and hydrophobic forces, hybridization states of atoms, electronic structure of molecules, and concept of bonding (chemical bonds, ionic bonds, covalent bonds, hydrogen bond, coordinate bonds)