BITS HD 2023 syllabus: Download Latest Syllabus PDF

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

Linear Algebra

Matrix Algebra, Row reduction method, Rank and inverse of a matrix,  System of linear equations, Vector space; basis and dimension; linear transformation; range and kernel of a linear transformation;  Eigenvalues and eigenvectors

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

Differential Equations

First order differential equations (linear and nonlinear), higher order linear differential equations with constant coefficient, method of variation of parameters

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

• Agreement, Time and Tense, Parallel construction, Relative pronouns

• Determiners, Prepositions, Modals, Adjectives

• Voice, Transformation

• Question tags, Phrasal verbs

• Content/ideas

• Vocabulary

• Referents

• Idioms/Phrases

• Reconstruction (rewording)

• Synonyms, Antonyms, Odd Word

• Jumbled letters

• Contextual meaning

• Analogy

• Rearrangement

• Paragraph Unity

• Linkers/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

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.

Fundamental principles of Mechanics, Introduction to Mechanics of Deformable Bodies, Forces and Moments Transmitted by Slender Members, Stress and Strains, Stresses due to Bending, Torsion

Steel Design Specifications and Connections, eccentric and moment connections, Design of Tension and Compression Members, Design of beams and plate girders, Introduction to plastic analysis and design

Concrete ingredients- cement, aggregates, chemical and mineral admixtures. Mix design, Fresh and hardened characteristics, Properties, testing and applications of concrete, Masonry materials, Timber, Bituminous materials, Steel

Statics of Structures and Degree of Indeterminacy, Analysis of Determinate and Indeterminate Structures(trusses, beams, frames, cables and arches), Deflection of beams and Frames, Influence lines and its Applications

Highway alignment;  Geometric design of highways: Cross-sectional elements, sight distances, horizontal and vertical alignment designs, , Highway Materials - Desirable properties of bitumen, aggregates

Origin of soils, soil structure and fabric; Three-phase system and phase relationships, index properties; Indian standard soil classification system; Permeability - one dimensional flow, Darcy’s law; Seepage through soils 

Ingredients for reinforced concrete, Design of concrete Mix, Design philosophies, Design of singly and doubly reinforced rectangular and flanged sections for Flexure using Working stress and Limit State Design approach, Design for bond, anchorage and development length

Chain Survey, Compass Survey & leveling, Theodolite, Tachometric surveying & Traversing, Curve Ranging, Contouring & Plane Tabling, Trigonometric Leveling, Areas and Volumes,  Geodetic surveying, Total Stations. Introduction to advanced surveying techniques like DGPS, GIS.

Water and wastewater characteristics; Basic unit processes and operations for water treatment; Drinking water standards; Distribution of water; Sewage and sewerage treatment; Primary, secondary and tertiary treatment of wastewater, effluent discharge standards; Sludge disposal.

Water and wastewater characteristics; Basic unit processes and operations for water treatment; Drinking water standards; Distribution of water; Sewage and sewerage treatment; Primary, secondary and tertiary treatment of wastewater, effluent discharge standards

Fluid Mechanics and Hydraulics: Fluid Properties, Fluid pressure and measurement, Hydrostatics, Buoyancy, Fundamentals of fluid flow and Kinematics of fluid in motion, Conservation of mass, momentum and energy, Analysis of flow through pipes, Laminar flow, Study of flow pattern through Orifices and Mouthpieces, Notches and Weirs

Hydrology: Hydrological Cycle and Budget; Precipitation Measurement and Analysis; Hydrologic Abstractions; Stream Flow analysis and concepts of the hydrograph

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

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 etc

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