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 |

Algorithm Design Techniques: Top-Down Design (Divide-and-Conquer, Greedy); Bottom-Up Design (Dynamic Programming); Randomization | Analysis and Complexity: Analysis of Algorithms | Complexity of Problems – Lower Bound Analysis | Nondeterministic Algorithms | Complexity Classes and Reductions | NP-completeness / NP-hardness | Handling Hard Problems: Search – Backtracking, Branch-and-Bound | Introduction to Approximation Algorithms |

Instruction Set Architecture - RISC & CISC processors | Computer Arithmetic & Control Unit | Cache | Memory & Main Memory | I/O | Secondary Memory | RAID System | Bus & Interconnections | Pipelining | Instruction-Level Parallelism |

Concept of autonomous computing nodes in Computer Networks | Concept of Services | Interfaces & Protocols in Network Architectures |

Data Modeling – ER Model | Relational Model | Object-oriented Model | Object-relational Model | Query | Languages – Relational Algebra | Relational Calculus, & SQL | Normalization & Indexing – Functional | Dependencies (FDs) | Closure of set of FDs | Attribute Closure | Cannonical Cover | Normal form |

Electrical Sciences

Basic Circuit elements | sources and laws | Circuit analysis Techniques & Theorems | Time-domain analysis of 1st & 2nd Order Circuits | AC Circuit Analysis | Important Power Concepts | Power factor correction | Single phase |

Analog Electronics

Operational amplifier basics | Ideal and practical Op-amp configurations | Special purpose linear Op-amp circuits |

Digital Electronics

Number systems & Codes | Boolean algebra & Simplification | Digital Logic Families | Combinational logic Design |

Microprocessors

Introduction to Intel 80x86 processor ISA (8086-80486)  | Assembly programming | Programmers model of processor | Processor architecture | Instruction set | Modular assembly programming using subroutines | macros |

Signals & systems and Digital Signal Processing

Continuous-time and discrete-time signals and systems | Sampling and reconstruction | Properties of linear time-invariant (LTI) systems | Linear convolution | Fourier series(CTFS, DTFS) | Fourier transform (CTFT, DTFT) | Laplace transform | Z-transform | System analysis and frequency response | Discrete Fourier Transform |

Electronic devices and microelectronics circuits

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 |

Control Systems and Power Electronics

Mathematical model of physical systems: Differential equations | Block diagram | signal flow graph | transfer function | feedback characteristics of control systems | control systems components |

Elements of process control loop | Mathematical modeling | Dynamic closed loop characteristics | Controller principles & tuning | DDC loop | Hydraulic | Pneumatic | Electronic controller | Complex multivariable control schemes | Final control elements |

Generalized measurement system | Functional elements | Static and dynamic characteristics| Resistive | inductive | capacitive | piezoelectric | Hall effect | Photoelectric | Fiber optic transducer | MEMS based transducers |

Electronic indicating | Display | Recording & Analysis instruments | Signal generators | Frequency synthesizers | Counters | Grounding and Shielding techniques | Instrumentation in hazardous areas | Industrial data communication |