BITS HD 2025 Syllabus

Shivani

Updated On: June 26, 2024 10:29 am IST | BITS HD

The BITS HD 2025 syllabus included chapters like calculus, heat transfer, plant design and economics, thermodynamics, linear algebra, and others. For a detailed syllabus read the article. 

 

BITS HD 2025 Syllabus

BITS HD 2025 Syllabus: The BITS HD syllabus is vast and candidates need to be familiar with all the syllabi to begin their preparations. The syllabus is divided into different subjects like mathematics, English language, computer science, biological science, chemistry, physics, and others. To start preparing for the BITS HD 2025 exam be familiar with the syllabus. Have a look at the detailed syllabus below in this article.

BITS HD 2025 Syllabus for Test 1

Here the candidates can find the BITS HD 2025 syllabus for test 1. It includes subjects like core mathematics, english language, and reasoning.

BITS HD 2025 Core Mathematics Syllabus

Refer to the table below for the mathematics syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Calculus

  • Limit and continuity
  • Functions and graphs
  • Application of derivatives and application of definite integrals
  • Maclaurin and Taylor series
  • Convergence of infinite sequence and series

Chapter 2

Linear algebra and complex variables

  • Matrix algebra
  • Rank and inverse of a matrix
  • Row reduction method
  • System of linear equations
  • Vector space
  • Analytic functions
  • Cauchy’s theorem

Chapter 3

Probability and statistics

  • Conditional probability and independence
  • Sample space and events
  • Random variables and probability distribution
  • Independent random variables
  • Sampling distribution

Chapter 4

Differential equations

  • Method of variation of parameters
  • Linear and non linear equations
  • Cauchy-Euler equation series
  • Initial and boundary value problems

Chapter 5

Numeric methods

  • Solution of system of linear equations
  • Solution of nonlinear algebraic equations

BITS HD 2025 English Language And Logical Reasoning Syllabus

Candidates can look at the table below to understand the English language and logical reasoning syllabus.

English language syllabus

Grammar

Phrasal verbs and question tags

Transformation and voice

Prepositions, determinants, adjectives, and modals

Time & tense, parallel construction, relative pronouns, agreement

Vocabulary

Synonyms & antonyms

Odd word, homophones, jumbled letters, spelling, contextual meaning, analogy

Reading comprehension

Reconstruction of words

Idioms and phrases

Referents

Vocabulary

Content and ideas

Composition

Connectives

Paragraph unity

Rearrangement

Logical reasoning syllabus

Verbal reasoning

Chart logic

Logical deduction

Series completion

Classification

Analogy

Nonverabl reasoning

Rule detection

Figure matrix

Paper cutting

Figure analysis and formation

Pattern perception

BITS HD 2025 Syllabus For Test 2

The test 2 syllabus for BITS HD examination carries topics like analysis of structures, transportation engineering, construction planning and technology etc. Below is a tabular representation for the test 2 syllabus.

BITS HD 2025 Chemical Engineering Syllabus

Refer to the table below for the chemical engineering syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Chemical Process Calculations

  • Chemical Equation And Stoichiometry
  • Gases, Vapors, Liquids (Thermodynamic Properties)
  • Units And Dimensions
  • Phase Equilibria
  • Non Reacting And Reacting Systems
  • Combustion Calculations
  • Bypass And Purge Calculation

Chapter 2

Fluid Mechanics

  • Newtonian And Non-Newtonian Fluids Basic Concepts
  • Integral And Differential Analyses For Fluid Motion, Internal And External Fluid Flow
  • Flow Through Packed & Dimensional Analysis, Flow Meters, Pumps, Fluidized Beds, And Compressors

Chapter 3

Chemical Engineering Thermodynamics

  • First And Second Laws Of Thermodynamics
  • Thermodynamic Properties Of Pure Substances
  • Second Law And Entropy
  • Applications Of First Law To Open And Close Systems

Chapter 4

Mass Transfer

  • Molecular Diffusion And Mass Transfer Coefficients Interphase Mass Transfer, Heat And Mass Transfer Analogies
  • Design And Operation Of Equipment For Distillation, Absorption, Adsorption,Adsorption, Humidification, Crystallization, Leaching, Extraction, Drying

Chapter 5

Heat Transfer

  • Unsteady And Steady State Heat Conduction
  • Radiation, Boiling, Condensation, Evaporation And Heat Exchanges
  • Natural And Forced Convection

Chapter 6

Mechanical Operations

  • Operation Of Centrifuge And Cyclones, Agitation, Filtration And Mixing
  • Properties And Handling Of Particulate Solids, Mechanical Separations, Particle Size Distribution, Size Reduction Operation

Chapter 7

Chemical Reaction Engineering

  • Isothermal Reactor Design For Single And Multiple Reactions
  • Non Isothermal Reactor Design, Heterogeneous Reactors, Non Ideal Reactors
  • Analysis Of Laboratory Reactor Data, And Reaction Mechanisms For Non Elementary Reactions
  • Mole Balances And Reactor Sizing
  • Rate Laws And Stoichiometry

Chapter 8

Chemical Process Technology

  • Inorganic Chemical, Fertilizer, Natural Product, Petroleum Refining And Petrochemicals; Polymerization Industries

Chapter 9

Plant Design And Economics

  • Optimization In Process Design And Sizing Of Chemical Engineering Equipments
  • Principles Of Process Economics, Rate Of Return, Payback Period, Discounted Cash Flow, Depreciation Calculation, Cost Indices

Chapter 10

Process Dynamics And Control

  • Measurement Of Process Variables
  • Analysis Of The Dynamic Behavior Of Chemical Process
  • Analysis And Design Aspect Of Feedback Controllers
  • Controller Tuning And Advanced Control Systems
  • Dynamic Process Modelling

BITS HD 2025 Civil Engineering Syllabus

Below is a tabular representation of the civil engineering syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Mechanics And Strength Of Materials

  • Stress And Strains, Stresses Due To Bending, Torsion
  • Mechanics: Fundamental Principles
  • Introduction To Mechanics Of Deformable Bodies, Forces
  • Moments Transmitted By Slender Members

Chapter 2

Analysis of structures

  • Determinate and Indeterminate Structures analysis
  • Statics of Structures and Degree of Indeterminacy
  • Deflection of beams and Frames, Influence lines (its Applications)
  • Introduction: Matrix Methods of Structural Analysis

Chapter 3

Design concrete structures

  • Design of beams for Shear, serviceability requirements
  • Design of one-way slab and two-way slab including staircase
  • Design of columns
  • Design for bond, development length, and anchorage
  • Ingredients for reinforced concrete

Chapter 4

Design of steel structures

  • Eccentric and moment connections
  • Design of Tension and Compression Members
  • Design of plate girders and beams
  • Introduction to plastic analysis and design

Chapter 5

Transportation engineering

  • Geometric design of highways
  • Highway alignment
  • Horizontal and vertical alignment designs
  • Highway Materials
  • Factors controlling flexible and rigid pavement designs,

Chapter 6

Surveying

  • Tachometric surveying & Traversing
  • Contouring & Plane Tabling
  • Trigonometric Leveling
  • Areas and Volumes
  • Introduction to advanced surveying techniques

Chapter 7

Construction planning and technology

  • Concrete ingredients (such as cement, aggregates and others)
  • Properties, testing and applications of concrete
  • Construction planning and scheduling
  • Construction techniques (Advanced)
  • Paints, distemper and varnishes

Chapter 8

Soil mechanics and foundation engineering

  • Origin of soils, soil structure and fabric
  • Three-phase system and phase relationships
  • Indian standard soil classification system
  • Darcy’s law
  • Characteristics of clays and sand
  • Boussinesq’s and Westergaard’s theories
  • Terzaghi’s bearing capacity theory

Chapter 9

Water and wastewater treatment

  • Water and wastewater characteristics
  • Drinking water standard
  • Water distribution
  • Sewage and sewerage treatment
  • Sludge disposal.
  • Operations for water treatment

Chapter 10

Water resources engineering

  • Fluid Mechanics and Hydraulics
  • Conservation of mass, momentum and energy
  • Analysis of closed-conduit hydraulic systems
  • Hardy cross method and linear graph method
  • Open channel hydraulics
  • Fluid machinery

BITS HD 2025 Electrical And Electronics Engineering Syllabus

Here is a table showing the electrical and electronics engineering syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Electrical sciences

  • Circuit analysis Techniques & Theorems
  • AC Circuit Analysis
  • Important Power Concepts
  • Single phase and Three- phase Circuit Analysis
  • Semiconductors

Chapter 2

Electromagnetics

  • Plane waves in dielectric and conducting media
  • Transmission lines, Smith chart and its application
  • Maxwell’s équations in free space and in time-varying fields

Chapter 3

Digital electronics

  • Number systems & Codes
  • Boolean algebra & Simplification
  • Digital Logic Families
  • Combinational/Sequential logic Design

Chapter 4

Signals and systems and digital signal processing

  • Sampling and reconstruction
  • Properties of linear time-invariant systems
  • System analysis and frequency response
  • Continuous-time and discrete-time signals and systems

Chapter 5

Electrical machines

  • Transformer
  • Three phase transformer connections
  • D.C Machines
  • D.C generators
  • Induction machines
  • Synchronous machines

Chapter 6

Control system and power electronics

  • Mathematical model of physical systems
  • Line frequency Uncontrolled/Controlled AC
  • Block diagram, signal flow graph
  • Feedback characteristics of control systems, control systems components

Chapter 7

Power systems

  • Transmission line parameters and modeling
  • Characteristics/ performance of lines
  • Optimal system operation
  • Power system fault analysis

Chapter 8

Analog electronics

  • Ideal and practical Op-amp configurations
  • Special purpose linear op-amp circuits
  • Signal generators
  • Voltage Regulators
  • Power amplifiers and output stage circuits

Chapter 9

Electronics devices and microelectronics circuit

  • Semiconductor materials and their properties
  • Single p-n junction devices
  • Bipolar junction transistors
  • Basic single and two stage transistor

Chapter 10

Microprocessor

  • Assembly programming
  • Concept of interrupts
  • Interrupt controllers
  • Types of Memory & memory interfacing

Chapter 11

Communication systems

  • Signals & Signal Space
  • Analysis and transmission of signals
  • Pulse Shaping and Transmission
  • Performance analysis of Communication systems

Chapter 12

Telecom switching

  • Switching Systems
  • Voice Digitization
  • Digital Transmission and Multiplexing
  • Networks Topologies
  • Internetworking and Applications

BITS HD 2025 Mechanical Engineering Syllabus

Here is a table showcasing the mechanical engineering syllabus for BITS HD 2025 exam.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Production techniques

  • Metal casting and forming
  • Powder metallurgy
  • Molding and formation of plastic
  • Machining processes
  • Metal cutting theory
  • Welding processes

Chapter 2

Material science and engineering

  • Structure of metals and ceramics
  • Dislocations
  • Metal mechanism
  • Thermal and mechanical properties of metals
  • Polymers

Chapter 3

Production planning and control

  • Forecasting and product planning
  • Capacity and aggregate planning
  • Scheduling
  • Inventory and quality control

Chapter 4

Design of machine elements

  • Design of bolted joints and screws
  • Designs of clutches, gears, brakes
  • Computer Aided design
  • Criteria for static failure and fatigue failure

Chapter 5

Kinematics and dynamics of machines & vibrations

  • Basics of mechanisms
  • Acceleration and velocity analysis
  • D’Alembert’s principle
  • Kinetics of mechanism
  • Free and forced vibration

Chapter 6

Mechanics of solids

  • Introduction to mechanics of deformable bodies
  • Fundamental principle of mechanics
  • Stress and strain

Chapter 7

Thermodynamics

  • First and second law of thermodynamics
  • Pure substance properties
  • Entropy, energy, Irreversibility

Chapter 8

Applied thermodynamics

  • Vapour compression, absorption cycle
  • Psychometrics,  air conditioning
  • Air standard/gas power cycles

Chapter 9

Fluid mechanics and machines

  • Conservation laws
  • Dimensional analysis
  • Analysis of fluid machines
  • Fluid statics

Chapter 10

Heat transfer

  • Conduction
  • Convection
  • Radiation heat transfer
  • Heat exchanger
  • Mass transfer

BITS HD 2025 Pharmacy Syllabus

Applicants can have a look at the pharmacy syllabus below.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Natural drugs, pharmacognosy, phyto-chemistry

  • Traditional system of medicine
  • Plant nomenclature & its classification
  • Isolation techniques
  • General Pharmacognosy
  • Tests and functions of alkaloid, glycosides, volatile oils, fixed oils, resins, gums

Chapter 2

Anatomy physiology and hygiene

  • Anatomy of generalized cell
  • Hemoglobin and blood groups
  • Hormones:- their functions and mechanisms
  • Anatomy of the urinary system
  • Respiratory system organs
  • Male and female reproductive systems
  • Process of respiration

Chapter 3

Pharmaceutical chemistry

  • Physico-chemical/stereo chemical properties affecting drug actions
  • Various organic reactions involved in drug synthesis
  • Chemotherapeutic agents
  • Lead compound identification
  • Retero-synthetic analysis

Chapter 4

Pharmaceutical and instrumental methods of analysis

  • Chromatographic Techniques
  • Titrimetric methods
  • Iodometric and iodimetric titrations
  • IR, NMR, MASS

Chapter 5

Pharmacology and toxicology

  • Principles/scope of basic pharmacology and toxicology
  • Sedatives and hypnotics
  • Antipsychotics and antidepressants
  • Classification of chemotherapeutic agents
  • Drugs for UTI

Chapter 6

Pharmaceutical microbiology and biochemistry

  • Carbohydrates Lipids, Proteins, Nucleic acids
  • Enzymes and their regulation
  • Introduction and classification ofvirus, fungi, protozoa, microbes, bacteria
  • Infections and immunity

Chapter 7

Forensic pharmacy and quality control management

  • Drugs & Cosmetics Act
  • Narcotics and Psychotropic Substances Act
  • Medicinal and Toilet Preparations Act
  • Regulatory control of teaching and practice of Pharmacy
  • Good Manufacturing Practices

Chapter 8

Industrial and physical pharmacy

  • Pharmaceutical agents: Physicochemical properties
  • Chemical Kinetics
  • Heat transfer, Distillation, Evaporation
  • Humidification, Dehumidification

Chapter 9

Pharmaceuticals formulations and biopharmaceutics

  • Classification of dosage forms
  • Parenteral Products
  • Biopharmaceutics
  • Bio-equivalence and bioavailability studies

Chapter 10

Dispensing pharmacy

  • Latin terms & Abbreviations
  • Disperse Systems
  • Suppositories and Pessaries
  • Containers and Closures
  • Hospital Pharmacy Practice

BITS HD 2025 Computer Science Syllabus

Here is the list of syllabus for the computer science subject.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Discrete mathematics

  • Recurrence relations
  • Sets and fucntions
  • Principles of counting
  • Propositional and predicate logic

Chapter 2

Theory of computation

  • Finite Automata
  • Regular languages and expressions
  • Context free languages and grammar
  • Universal Turing Machine

Chapter 3

Data structure and algorithm

  • Abstract data structures and types
  • Searching and sorting
  • Linear and non-linear data structures
  • Dictionary data

Chapter 4

Design and analysis of algorithms

  • Algorithm designing techniques
  • Complexity and analysis
  • Handling hard problems

Chapter 5

Digital electronics and microprocessors

  • Programmable Logic Devices/Logic Families
  • Memory interfacing
  • Programmable peripheral devices and its interfacing
  • Combinational Logic Design

Chapter 6

Operating systems

  • Memory allocation, segmentation and paging
  • Secondary and mass storage systems
  • Process scheduling and organization
  • Concurrency

Chapter 7

Computer organization and architecture

  • Instruction set architecture
  • Main memory and memory

Chapter 8

Computer networks

  • Concept of autonomous computing nodes
  • Protocols and interfaces in network architecture
  • Classification of the network
  • Ethernet
  • Basics of wifi
  • Protocols

Chapter 9

Database systems

  • Data modeling
  • Query languages
  • Functional dependencies c

Chapter 10

Compiler construction

  • Overview of compiler
  • Lexical analysis
  • Generating of code
  • Techniques for generating code

BITS HD 2025 Instrumentation Syllabus

Below is the instrumentation syllabus for the BITS HD 2025 exam.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Electrical sciences

  • Basic circuit elements
  • Circuit analysis theorems and techniques
  • Important power concepts
  • Semiconductors
  • Magnetic circuits c

Chapter 2

Analog electronics

  • Practical and ideal op-amp configurations
  • Active, IC filters
  • Signal generators
  • Voltage regulators
  • High frequency amplifiers

Chapter 3

Digital electronics

  • Number system and codes
  • Boolean algebra
  • Digital logic families
  • Sequential and combinational logic design

Chapter 4

Mircoprocessors

  • Processor architecture
  • Concept of interrupts
  • Interrupt handling techniques
  • DMA controller and interfacing
  • Serial interface

Chapter 5

Signals and systems/digital signal processing

  • Sampling and reconstruction
  • Fourier series
  • System analysis and frequency response
  • Analog and digital filters c

Chapter 6

Electronic devices and microelectronic circuits

  • Semiconductor material and properties
  • Bipolar junction transistors
  • Current mirrors and current sources
  • Frequency response/ frequency compensation

Chapter 7

Control systems and power electronics

  • Mathematical model of physical system
  • Line frequency Uncontrolled/Controlled AC and DC Converter
  • Root locus concepts
  • Characteristics and components of control system

Chapter 8

Industrial instrumentation and control

  • Elements of process control loop
  • Mathematical modeling
  • Hydraulic, Pneumatic
  • Dynamic closed loop characteristics

Chapter 9

Transducers and measurement techniques

  • Hall effect
  • Measurement of Motion, pressure, flow, temperature level
  • Signal conducting techniques through op-amps
  • Inverse transducers

Chapter 10

Electronic instruments and instrumentation technology

  • Electronic indicating
  • Recording & Analysis instruments
  • Grounding and Shielding techniques
  • Instrumentation in hazardous areas

BITS HD 2025 Biological Sciences Syllabus

Refer to the table below for the biological science syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Genetics

  • Laws of inheritance, genetic interaction
  • Control of gene expression in eukaryotes, prokaryotes and Viruses, Population and evolutionary genetics
  • Genetic mapping

Chapter 2

Molecular technique

  • Restriction endonuleases
  • Blotting technique
  • Pcr and sequencing
  • Cloning and vectors

Chapter 3

Biological chemistry

  • Chemistry of Biomolecule, vitamins, coenzymes, enzymes
  • Metabolism of Biomolecules, Photosynthesis

Chapter 4

Microbiology

  • Fundamentals
  • Survey of microbial world
  • Human disease and microbes
  • Applied and environmental microbiology

Chapter 5

Ecology

  • Ecosystem ecology and energy flow
  • Population and community ecology
  • Regional ecology c

Chapter 6

Plant physiology

  • Plant development
  • Movement in plants
  • Transport and translocation of solutes and water
  • Important elements and their functionality

Chapter 7

Biophysics

  • Basic unit of life : chemical properties
  • Molecular modeling
  • X-ray crystallography

Chapter 8

Cell and developmental biology

  • Preview of a cell
  • Cell growth and immunity
  • Organogenesis
  • Stem cells

Chapter 9

Animal physiology

  • Circulatory and excretory system
  • Digestive and respiratory system
  • Body immune system
  • Nervous and endocrine system

Chapter 10

Bio statistics and introduction to bioinformatics

  • Phylogenetic analysis
  • Use of software packages in Bioinformatics, Statistics, probability
  • Introduction to genomic & Proteomics

BITS HD 2025 Chemistry Syllabus

A tabular representation of the chemistry syllabus is showcased below.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Chemical kinetics

  • Unimolecular, bimolecular and tri-molecular reactions
  • Simple and complex reactions: integrated laws
  • Effect of temperature on reaction rates
  • Theories of reaction rates

Chapter 2

Chemical thermodynamics

  • Thermodynamics of gases, non ideal and electrolyte solutions
  • Statistical and non-equilibrium thermodynamics
  • Laws and concepts of thermodynamics

Chapter 3

Quantum chemistry and atomic/molecular structure

  • Physical and mathematical foundations of quantum chemistry
  • Atomic and molecular structure
  • Perturbation theory angular momentum
  • Solution of Hartree Fock equation for He-atom

Chapter 4

Structure and reactivity of organic compounds

  • Aromatic Nucleophilic Substitutions
  • Addition to carbon-carbon multiple and carbon-hetero multiple bonds
  • Orbital symmetry in organic reactions

Chapter 5

Instrumental methods of analysis

  • Structure Resolution by combination of techniques
  • Magnetic Resonance Spectroscopy
  • Mass Spectrometry
  • Ultraviolet and visible spectroscopy

Fcfluorescence spectroscopy

Chapter 6

Bonding in organic compounds

  • Character tables
  • Application of point group symmetry
  • Ionic bond
  • Covalent bond
  • Point groups and molecular symmetry

Chapter 7

Chemical experimentation

  • Adsorption isotherm
  • Synthesis and characterization of nanomaterials
  • Qualitative analysis of salts/mixture of salts

Chapter 8

Synthetic organic chemistry

  • One Group C-X Disconnections
  • Two Group C-X Disconnections
  • One Group C-C Disconnections
  • TwoGroup C-C Disconnections

Chapter 9

Basic inorganic and organic chemistry

  • Stereochemistry
  • Stereochemistry of cyclic compounds
  • Name reactions
  • Clemmensen reduction

Chapter 10

Chemistry of organic compounds

  • Chemistry of aliphatic and aromatic amines
  • Organometallic compounds in organic synthesis
  • Carboxylic acid and carboxylic acid derivatives

BITS HD 2025 Economics Syllabus

Look at the table below for the economics syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Principles of economics

  • Basics of macroeconomics
  • GDP and its components
  • Role of money, credit creation and banking
  • Elements of market economy

Chapter 2

Fundamental of accounting and finance

  • Banking system
  • Markets for future
  • Foreign exchange markets
  • Basics of accounting
  • Financial statements and analysis c

Chapter 3

Microeconomics

  • Topics in consumer theory
  • Theory of market structure and firm
  • General equilibrium
  • Common and public goods
  • Theory of consumer behavior

Chapter 4

Macroeconomics

  • Macroeconomics system
  • Keynesian system
  • Inflation and unemployment
  • Money supply
  • Investment and consumption

Chapter 5

Econometrics

  • Basic of statistics
  • General linear model
  • Heteroskedasticity
  • Simultaneous Equation System
  • ARIMA Models,

Chapter 6

Money banking and financial market

  • Money and the functions
  • Money markets
  • Financial markets
  • Non banking financial institutions
  • Money and inflation
  • Tools and goals of monetary policy c

Chapter 7

Public finance and theory

  • Theory and Practice
  • Public Expenditure – Structure, Growth & Evaluation
  • Principles of Taxation
  • Budgeting in India

Chapter 8

Economics of growth and development

  • Economic Growth Models
  • The Fel’dman Model of Economic Growth
  • Kaldor’s Model of Income
  • Planning and development in India

Chapter 9

International economics

  • Early trade and theories
  • International trade
  • Modern theories of international trade
  • Foreign district investment
  • Balance of payments

Chapter 10

Issues in economic development

  • Human capital
  • Agriculture and development
  • Population growth and economic development
  • Contemporary models of underdevelopment and development

BITS HD 2025 Mathematics Syllabus

Look at the mathematics syllabus here in the table.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Optimization

  • General LP solution
  • The simplex method
  • Duality and post optimal analysis
  • Transportation models
  • Non linear programming methods

Chapter 2

Discrete mathematics

  • Methods and logic of proof
  • Elementary combinatorics
  • Relations and digraphs
  • Boolean algebra

Chapter 3

Elementary real analysis

  • Sequence of real numbers
  • Metric space
  • Sequence & Series of Functions
  • Countable & Uncountable sets

Chapter 4

Algebra

  • Groups, Subgroups, Normal Subgroups, & Quotient Groups
  • Homomorphisms & Automorphism
  • Ideals & Quotient Rings

Chapter 5

Mathematical methods

  • Integral Transforms
  • Discrete Fourier Series
  • Fast Fourier transform
  • Calculus of Variation

Chapter 6

Operations research

  • Queuing system
  • Inventory system
  • Network models
  • Routing and matching problems

Chapter 7

Graphs and networks

  • Economic and empirical structures
  • Planarity
  • Routing and matching problems
  • Representations

Chapter 8

Measure and integration

  • Measurable sets and functions
  • Function of bounded variations
  • Different modes of convergent
  • Integral and its properties

Chapter 9

Introduction to topology

  • Topological spaces
  • Subspaces
  • Product spaces & Quotient spaces
  • Connectedness & Compactness

Chapter 10

Ordinary differential equations

  • Existence and uniqueness theorems
  • Properties of linear systems
  • Autonomous and non autonomous systems
  • Behavior of solutions of nth order equations

Chapter 11

Numerical analysis

  • Computer arithmetic and errors
  • Solving nonlinear equations, equations
  • Numerical differentiation and numerical integration

Chapter 12

Introduction to functional analysis

  • Vector spaces
  • Continuous linear transformations on normed linear spaces
  • Hilbert spaces
  • Riesz Representation theorem

Chapter 13

Differential geometry

  • Plane curves
  • Space curves
  • Surface and curvatures
  • Geodesics

Chapter 14

Partial Differential Equations

  • Nonlinear equations of first order
  • Charpits Method
  • Duhamels principle
  • Laplace transform & fourier transform technique, solutions

BITS HD 2025 Physics Syllabus

Here is the physics syllabus for the BITS HD 2025 exam.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Modern physics

  • Special Theory of Relativity
  • Wave-like Properties of Particles
  • Bohr’s Model of Hydrogen
  • Particle in One-dimensional Potential
  • Wave-like Properties of Particle

Chapter 2

Thermodynamics and properties of matter

  • Thermal Expansion
  • Heat, Work and the First/second Law of Thermodynamics
  • Heat Engines and Entropy
  • Kinetic Theory

Chapter 3

Classical mechanics

  • De-Alembert’s principle
  • Rigid Body Kinematics/dynamics
  • Hamilton’s Equations of Motion

Chapter 4

Electromagnetic theory

  • Electrostatics in Free Space, matter
  • Magnetostatics in Free Space, matter
  • Faraday’s Law of Electromagnetic Induction
  • Maxwell’s Equations
  • Conservation Laws

Chapter 5

Quantum mechanics

  • Schrodinger Equation
  • Eigenfunctions
  • Dirac Notation
  • Harmonic Oscillator
  • Angular Momentum

Chapter 6

Methods of mathematical physics

  • Matrices and Vector Spaces
  • Functions of Complex Variables
  • Sturm-Lioville Theory
  • Curvilinear Coordinates

Chapter 7

Statistical Physics

  • Elements of Probability Theory
  • Elementary Kinetic Theory
  • Microcanonical
  • Quantum Statistics of Ideal Bose Gases

Chapter 8

Optics and spectroscopy

  • Geometrical Optics
  • Crystal Optics & Lasers, Atomic & Molecular Spectroscopy

Chapter 9

Nuclear & Particle Physics

  • Nuclear Properties and Nuclear Models
  • Fusion and fission
  • The Quark Model
  • Conservation Laws of Elementary Particles
  • Particle Accelerators

BITS HD 2025 Environmental Engineering Syllabus

Here is a table showing the environmental engineering syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Environmental pollution

  • Effects and control measures of: water,air, marine, thermal,noise and soil pollution
  • Solid waste Management
  • Effects and control measures of urban and industrial wastes
  • Hazardous waste management
  • Index of air quality

Chapter 2

Water and wastewater treatment

  • Water and wastewater characteristics
  • Basic unit processes and operations for water treatment
  • Drinking water standards
  • Sludge disposal.

Chapter 3

Measurement of Water Quality

  • Sampling
  • Dissolved Oxygen
  • Biochemical Oxygen Demand
  • Chemical Oxygen Demand
  • Total Organic Carbon

Chapter 4

Sludge Treatment and Disposal

  • Sources of Sludge
  • Characteristics of Sludges
  • Sludge Treatment and Ultimate Disposal

Chapter 5

Solid Waste Management

  • Quantities and Characteristics of Municipal Solid Waste, Collection, Disposal Options

BITS HD 2025 Software Systems Syllabus

Here is a table showing the software systems syllabus.

Chapters

Chapter Name

Topics in the chapter

Chapter 1

Structured Programming in C

  • Control Constructs
  • Pointers and Address Arithmetic
  • Lists, Functions and Variables

Chapter 2

Advanced Programming in C

  • User Defined Types
  • Access Restricted Lists
  • Modular Programming

Chapter 3

Object Orientation and Software Engineering

  • Basics of OOP
  • Types and Polymorphism
  • Software Requirements Analysis and Modeling
  • Architectural Design
  • Software quality and testing c

Chapter 4

Database Systems

  • Database Modeling & Design

Chapter 5

Core Systems

  • Number Representations and Boolean algebra
  • Combinational and Sequential Circuits
  • Control and Memory Organization
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