BITS HD syllabus 2025: Download Subject/Section wise Syllabus PDF, Check Books for Preparation

Calculus

Functions and graphs | Limit and continuity | Applications of Derivatives | Applications of Definite Integrals | Convergence of Infinite Sequences and series | Maclaurin and Taylor series. Functions of several variables | Limits and Continuity in Higher Dimensions |  Partial Derivatives | The Chain Rule | Directional Derivatives and Gradient Vectors | Tangent Planes and Normal Lines |  Extreme Values and Saddle Points | Double Integrals | Triple Integrals | Line and Surface Integrals | Conservative Fields | Curl and Divergence Theorems of Green | Gauss and Stokes |

Linear Algebra

Matrix Algebra| Row reduction method | Rank and Inverse of a matrix | System of linear equations | Vector Space | Basis and Dimension| Linear Transformation | Eigen Values and Eigen Vectors |

Complex Variables

Analytic Functions | Cauchy’s Theorems| Cauchy’s Integral formula, Taylor Series and Laurent Series | Calculus of Residues and Applications |

Probability and Statistics

Sample space and events | Conditional Probability and Independence | Random Variables and Probability Distributions| Independent Random Variables | Mathematical Expectation | Mean and Variance | Geometric | Binomial | Poisson's | Exponential | Gamma and Normal Distributions |Sum of Independent Random Variables | Law of Large Numbers | Central Limit Theorem | Marginal and Conditional Distributions | Sampling Distribution | Point Estimation | Statistical Intervals based on a Single Sample | Tests of Hypotheses based on a Single Sample | Test for mean using normal and students T-distribution correlation and linear regression | 

Differential Equations

First order differential equations (linear and nonlinear) | Higher-order linear differential equations with constant coefficient | Method of Variation of Parameters | Cauchy Euler's Equations | Fourier Series | Laplace Transform | Initial and Boundary Value Problems | Partial Differential Equations | Method of Separation of Variables |

Numerical Methods

Solution of Nonlinear Algebraic Equations | Newton’s Method | Secant Method | Fixed Point Iteration Method| Method of False Position | Solution of system of linear equations | Direct Methods and Iterative Methods | LU Decomposition | Integration of Trapezodial and Simpson's Rule |

Rearrangement | Paragraph Unity | Linkers and Connectives |

Analogy | Classification | Series Completion | Logical Deduction - Reading Passage | Chart Logic | 

Pattern Perception | Figure Formation and Analysis | Paper Cutting | Figure Matrix | Rule Detection

Chemical Process Calculations  

Fluid Mechanics

Chemical Engineering Thermodynamics

Mass Transfer

Heat Transfer

Mechanical Operations

Chemical Reaction Engineering

Mole balances and reactor sizing | Rate laws and stoichiometry | Isothermal reactor design for single and multiple reactions | Analysis of laboratory reactor data and reaction mechanisms for non elementary reactions | Non isothermal reactor design | Heterogeneous reactors | Non Ideal reactors |

Inorganic chemical industries (sulphuric acid, phosphoric acid) | Fertilizer industries (Ammonia, Urea, SSP, TSP) | Natural product industries (Pulp & paper, Sugar, Oils & fats) | Petroleum Refining and Petrochemicals | Polymerization industries (polyethylene, polypropylene, polyester synthetic fibers, PVC) | 

Principles of process economics | depreciation calculation | cost indices | rate of return | payback period | discounted cash flow| optimization in process design and sizing of chemical engineering equipment, such as evaporators, heat exchangers, and multistage contractors |

Dynamic process modeling | Laplace transform, transfer functions | Analysis of the dynamic behavior of chemical processes | Analysis and design aspect of feedback controllers (P, PI and PID) | Controller tuning | Advanced control systems | Measurement of process variables | sensors | Transducers and their dynamics |

Highway alignment | Geometric design of highways | Cross-sectional elements | sight distances, horizontal and vertical alignment designs | Highway Materials - Desirable properties of bitumen | aggregates, soil, and bituminous paving mixture design using Marshall's specifications | Design factors for flexible and rigid pavements | Pavement Design: Factors controlling flexible and rigid pavements | Traffic Control Designs |

Mathematical model of physical systems | Differential equations | Block diagram | Signal flow graph | Transfer function | Feedback characteristics of control systems |  Control systems components | Time response analysis | Root Lotus Concepts | Frequency Response |

Semiconductor materials and their properties | Carrier transport and excess carriers in semiconductors | Single p-n junction devices- rectifier | Zener diodes | Switching diodes | Microwave diodes | Optoelectronic devices | Bipolar junction transistors |

Production Techniques

Metal casting | Metal forming | powder metallurgy | plastic forming and molding | Metal joining | Metrology | Metal cutting theory| machining processes | welding processes and Non-conventional manufacturing processes |

Materials Science and Engineering

Introduction | Structure of Materials (Metal and Ceramics) | Dislocations | heat treatment of steel and strengthening | Mechanisms of Metals | Phase diagrams | Iron-carbide phase diagram | Phase transformation in Metals | Mechanical and thermal properties of Metals | Polymers (Structure, processes and properties) and introduction to non-destructive testing |

Production Planning and Control

Forecasting and product planning | Process planning, job design and work measurements | Facilities location and layout | Capacity planning | Aggregate planning and scheduling | Inventory and quality control | 

Design of Machine Elements

Criteria for static failure and fatigue failure | design of screws and bolted joints | design of welded joints and riveted joints | Mechanical springs | Design of rolling element bearings | Journal bearings and hydrodynamic lubrication |

Kinematics & Dynamics of Machines and Vibrations

Basics of mechanisms | Inversions | Velocity and acceleration analysis | Instantaneous centres | transmission angle | Principle of virtual work | D’Alembert’s principle | Kinetic Modeling | kinetics of mechanism (Four-bar mechanisms) |

Mechanics of Solids

Fundamental principle of mechanics, Introduction to mechanics of deformable bodies, slender members, energy Methods, Stress and strain: stress-strain-temperature relations, Symmetric and asymmetric bending, torsion, Curved beams and thick shells, Buckling

Thermodynamics

Properties of pure substance | First law of thermodynamics | Second law of thermodynamics | Entropy | Irreversibility | Energy and thermodynamic relations |

Air standard cycles, gas power cycles | I.C. engines | Vapour compression and absorption cycle | Psychometrics and air conditioning | Vapour power cycles | boilers | its mountings and accessories | Steam turbines | Gas turbines | Compressors |

Fluid statics | Conservation laws | Viscous and inviscid flow analysis | Dimensional analysis | Analysis of fluid machines |

Conduction: steady state and unsteady state heat conduction | Convection: analytical and empirical relations for forced and free convection heat transfer,| Condensation and boiling | Radiation heat transfer: basic laws, shape factor, radiation heat exchange between surfaces | Heat exchanger: analysis and design | Mass transfer: diffusion and convective mass transfer |