BITS-HD - 2024

 Birla Institute of Technical Science Higher Degree. This BITS HD entrance test is for the candidates who wish to seek admission to its higher degree programmes under BITS leading to M.E./M. Pharma is offered by all three campuses - Pilani, Hyderabad and Goa.

  To appear for the BITS HD 2024 exam, aspirants should have secured a minimum of 60% in the qualifying degree examination. For more details about BITS HD eligibility,

Core Mathematics syllabus

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

English Language and Logical Reasoning

Grammar

Agreement, Time and Tense, Parallel construction, Relative pronouns

Determiners, Prepositions, Modals, Adjectives

Voice, Transformation

Question tags, Phrasal verbs

Reading Comprehension                                                                                                                                

Content/ideas

Vocabulary

Referents

Idioms/Phrases

Reconstruction (rewording)

 
Vocabulary

Synonyms, Antonyms, Odd Word

Jumbled letters

Contextual meaning

Analogy

 Composition

Rearrangement

Paragraph Unity

Linkers/Connectives

Chemical Engineering

Chemical Process Calculations  

Units and Dimensions, Chemical Equation and Stoichiometry, Thermodynamic properties of Gases, Vapors, Liquids and Solids, Steady and unsteady state mass and energy balances, Phase Equilibria (multiphase, multicomponent), reacting and non-reacting systems. Recycle, bypass and purge calculations, Combustion Calculations.

Fluid Mechanics

Fundamental Concepts and Fluid Statics, basic concept of Newtonian and non-Newtonian fluids, head losses, velocity and pressure drop calculation. Integral and Differential Analyses for Fluid Motion, Internal and External Fluid Flow and Flow through Packed & fluidized beds, Dimensional Analysis, flow meters, pumps and compressors.

Chemical Engineering Thermodynamics

First and Second laws of thermodynamics. Applications of first law to close and open systems. Second law and Entropy. Thermodynamic properties of pure substances: Equation of State and residual properties, properties of mixtures: partial molar properties, fugacity, excess properties and activity coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibrium.

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, leaching, extraction, drying and adsorption, humidification, crystallization.

Heat Transfer

Steady and Unsteady state heat conduction, Natural & Forced convection, Radiation, Condensation, boiling and evaporation, Heat Exchangers.  

Mechanical Operations

Properties and Handling of Particulate Solids, Mechanical Separations, particle size distribution, size reduction operation, operation of centrifuge and cyclones, filtration, agitation and mixing.  

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.

Chemical Process Technology

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). 

Plant Design and Economics

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

Process Dynamics and Control

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.

Mechanics and Strength of Materials

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

Design of Steel Structures (Limit State Design) 

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

Construction Planning and Technology

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

Design of Concrete Structures

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

Surveying

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 Treatment

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 Treatment

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

Water Resource Engineering

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