Syllabus for IISC Entrance Exam

Hi I would like to have the syllabus of the entrance examination which is conducted by Indian Institute of Science (IISC) for admission to the programmes conducted by IISC?

Indian Institute of Science (IISC) is the fundamental directing power that sorts out the IISC Entrance Test. It's a national level selection test directed all over the nation. This exam is directed for confirmation in the diverse courses that is offered by the IISC. IISC Application Form will be accessible just through online process

IISC Entrance Test 2016 Syllabus

The IISC Entrance Test will be totally target sort questions. Applicants need to find four option solutions for a question. The syllabus of the placement test includes Mathematics, Chemistry, Biological Science, Ecological Science, Management and Material Science. The detail syllabus is given underneath.


Mathematics:

• Real Analysis:- Real valued functions of a real variable: continuity and
differentiability, uniform convergence, sequences and series of real numbers
and function, Riemann integration, fundamental theorem of integral calculus.
Topology of R, Compactness and Connectedness.

• Complex Analysis:- Continuity and differentiability, analytic functions.
Cauchy’s theorem, Cauchy’s integral formula. Laurent’s series,Taylor and
Maclaurin expansions, singularities, theory of residues and contour
integration, conformal mappings.

• Linear Algebra:- Vector Space: linear independence, basis, dimension,
linear transformations and matrices, Systems of linear equations, rank and
nullity, characteristic values and characteristic vectors, diagonalizability,
Cayley-Hamilton theorem, characteristic and minimal polynomials, Jordan
canonical form.

• Abstract Algebra:- Groups: subgroups. Lagrange’s theorem, normal
subgroup, quotient group, permutation groups. Cayley’s theorems,
homomorphisms, Sylow theorems, Rings, Ideals Fields.

• Ordinary Differential Equations: – First order ODEs and their solutions,
singular solutions, existence and uniqueness of initial value problems for first
order ODE. General theory of homogeneous and non-homogeneous linear
differential equations. Variation of parameters. Types of singular points in
the phase plane of an autonomous system of two equations.

Chemistry:

• Structure and Bonding :- Atomic orbitals: electronic configuration of
atoms (Aufbau principle); periodic properties of elements, chemical bonding,
the concept of hybridization, molecular orbitals, electronic configuration of
diatomic molecules, shapes of molecules and physical properties, bond
angles, bond order and bond energies, bond length intermolecular forces,
hydrogen bond, kinetic theory of gases, Solutions-Coligivative properties,
activity coefficients; solids-types of solids, crystal structure and packing.

• Spectroscopy: Principles of electronic, vibrational, rotational and
magnetic resonance spectroscopy and mass spectrometry and their
application to simple structural problems in chemistry. Dipole moment and
molecular structure.

• Chemical Energetics and Chemical Dynamics: Law of conservation of
energy, enthalpy, entropy and free energy of chemical reaction, relationship
between free energy change and equilibrium. Rates of chemical reactions,
theories of chemical reactions and Arrhenius equation, homogeneous and
heterogeneous catalysis, Electro-chemistry, strong and weak electrolytes,
Debye-Huckel-Onsager treatment, Electrochemical cells. Electrode-
electrolyte interface.

• s, p, d, f, Block Elements and Coordination Compounds: General
characteristics of each block, Nuclear Chemistry: Noble gas compounds,
Lanthanides and actinides: Co-ordination compounds, Crystal and ligand field
theories, Spectral and magnetic properties, Stereochemistry and isomerism.

• Nomenclature of Organic Compounds and Stereo Chemistry of Organic
Compounds: Compounds containing not more than three rings and three
hetroatoms principles of chirality and optical activity, optical and geometrical
isomerism, methods of resolution, conformational analysis of cyclohexanes.

• Common Organic Reactions and Mechanisms : Formation, stability and
structure of carbonium ions, carbanions and radicals: nucleophilic and
electrophilic substitution and addition reactions, mechanism of SN1 and
SN2reactions, the concept of aromaticity and characteristic reactions of
aromatic compounds; elimination reactions, rearrangements such as
Beckmann, Hoffman, Claisen, pinacol-pinacolone and benzidine
rearrangement. Routine functional group transformations and interconversion
of simple functionalities.

Biological Sciences:

• Acids, Bases and solutions: Chemical reactions, Energy, Enzymes:
Viruses. Prokaryotes and eukaryotes, Cellular organisation and function, Cell
cycle, Genetic material, Inheritance, Vitamins and hormones, Body defence
mechanisms, Evolution.

• Structure of biomolecules: Viruses, bacteriophages, prokaryotic and
eukaryotic cells, Nutrition and growth of prokaryotic and cukaryotic cells,
Enzymes and enzyme kinetics, Intermediary metabolism and its regulation,
Structure and function of cell membranes, Photosynthesis, Gene structure,
expression and regulation, Transduction, conjugation and transformation,
Recombinant DNA methodology Mutation and gene mapping: Micro-organisms
and diseases: Environmental and industrial microbiology; Antimicrobial

agents and their mode of action; Bio-geochemical cycles: Plant and animal
hormones and their mode of action: Pathogens and host parasite
relationships. Antibody structure and function; Humoral and cellular immune
responses and their regulation, Morphogenesis and differentiation.
Mechanisms and evolution of Animal behaviour; Systematics; Population
dynamics and Community Ecology of plants and animals. Population
Genetics, Basic Statistical Analysis. Basic statistics and Mathematics. Basic
Principles in Evolutionary Biology

Ecological Sciences:

• M Sc. Level: Population ecology, community ecology, ecosystem
ecology, animal behaviour, evolutionary biology, population and classical
genetics, conservation biology, environmental science, botany, zoology and
statistics.

• Class XII Level: Basic mathematics, physics, chemistry, cell and
molecular biology.

Management:

PART A: Analytical Ability and Management Aptitude

• Logical and analytical reasoning

• Understanding of descriptive material and verbal ability

• Quantitative aptitude with mathematical knowledge at +2 level.

PART B: Section I: Business Administration

• Development of Management Thought: Principles of Management
Functions and Processes of Management as they relate to Planning,
Organizing, Directing and Control of Business and Industry. Man Power
Planning, Selection and Recruitment. Training and Development,
Compensation of Employees, Motivation and Communication.

• Production Planning and Control, Facility. Location and Plant Layout
Productivity Improvement through Work Study, Production and Inventory
Control, Quality, Project Planning and Control using Networks.

• Organizational Funds-Sources, Financial Statement, Determination of
Cost of Capital, Use of Capital Budgeting, Time Value of Money, Cost-Value,
Profit Analysis, Investment Decisions. Use of Accounting for Planning and
Control, Marketing of Goods and Services, Buyer Behavior. Market
Segmentation, Marketing Planning. Marketing Mix, Product Life-Cycle,
Pricing, Distribution, Advertising and Promotion, Marketing Control.
Management Information Systems, Applications of Computers. Statistical and
Quantitative Techniques for Management Decisions.

PART B: Section II: Economics

• Theories of Consumer Behavior, Production Function, Cost Function,
Economics of Scale and Scope, Market Structure, Pricing of Products,
National Income Accounting, National Income Measurement in India,
Theories of Inflation, Price Indices and Inflation Measurement in India,
Economic Reforms, Monetary Policy, Industrial Policy, Small Scale Industry,
Foreign Investment. Theories of Economic Growth and Industrial
Development

PART B: Section III: Psychology

• Concepts and Principles of Human Behaviour-Determinants of
Behavior-Attention-Perception-Memory-Learning-Motivation-Emotions-
Frustration and Conflict. Application of Social Psychology in Industries-
Attitudes and morale- the role of Industrial Psychology, its scope
andapplication- Job Analysis-Job Evaluation-Training-Leadership-
Communication-Group Counselling- Problems of Mental Health in Industries.

PART B: Section IV: Social Work

• Nature of Industrial Society: Social consequences of industrialization,
Industrialism and Indian Society. History Philosophy and fields of Social
Work. Social casework, group work and community organization. Attitude,
Morale and Motivation. Leadership, Groups and individual behavior.

• Personnel Management: Concept and functions. Industrial labour
legislation. Labour movement in India. Labour welfare. Social research-
design and methodology

PART B: Section V: Management Science

• Calculus & Linear Algebra: – Limits Differentiation, Integration,
Addition, Subtraction, Multiplication, and Inversion of matrices, Linear
System of Equations, Rank, Determinants, Eigenvalues & Eigenvectors.

• Probability Theory :- Combinatorics, Probability Laws, Conditional
Probability Bayes Theorem, Univariate Discrete & Continuous Random
Variables. p.m.f. p.d.f. c.d.f. & m.g.f. Standard Univariate Discrete &
Continuous Distributions: Binomial, Geometric, Poisson, Negative Binomial,
Hyper-Geometric, Uniform, Exponential, Gamma. Normal & Weibull.

• Model construction (LP, IP, MILP), Simplex Method, Sensitivity
Analysis, Economic Interpretation, Allocation Problems: The Assignment and
Distribution of Resources, Inventory Problems, Forecasting problems,
Replacement. Maintenance, and Reliability Problems, Dynamic Programming,
Queuing Problems, Sequencing and Coordination (PERT and CPM) Problems,
Routing Problems in Networks, Simulation.

• Applied Statistics: – One & Two Sample Parametric and Non-
Parametric tests for Location and Scale, Analysis of Variance, Simple and
Multiple Correlation & Regression, Analysis of Covariance, Chi-Square tests
for categorical variables.

• Classification of Information Systems, Software Engineering, UML,
Database Management Systems, SQL, Fundamental Data Structures: Linked
Lists, Stacks, Queues, Binary Trees, Directed Graphs.

PART C: Section I: German

• Methodology and Didactics: Brief Introduction guidance in the methods
of foreign language education – grammar – top setting method, audio-ingual
method,vermiltelnd method, direct method, communicative approach,
interkutureile method Features of this method, learning situation. Teaching
situation, Lerner perspective, teacher perspective.

• Sprachoebrauch: Write-Schilderung texts, report , Eroterung
description , essay , etc. grammar , sentence structure , etc.

Materials Science:

• Elementary quantum mechanics, atomic structure, wave mechanical
model, electronic configurations, ionic, covalent, metallic and van der Walls
bonding; interatomic potentials.

• Crystal symmetry, point group, space group, indices of planes, close
packing in solids, type structures, coordination, radius ratios concepts,
special structures (silicate, spinel etc.), amorphous materials.

• X-ray, electron and neutron diffraction techniques, indexing of
diffraction patterns, crystal structure analysis: non-destructive testing.

• Defects in solids, point defects, dislocations (edge and screw) Burgers
vector- grain boundaries, defect interactions; surface energy; equilibrium
shape.

• Thermodynamics, phase rule, phase diagrams, solid solution, invariant
reactions, lever rule; iron-carbon diagram, solidification, phase
transformation, recrystallization, diffusion, Ficks laws, mechanisms of
diffusion, temperature dependence of diffusivity; zone refining; crystal
growth.

• Physical properties of materials; specific heat, thermal conductivity,
electrical conductivity, magnetism; dia. pars, Ferro and ferro-magnetism
dielectric behaviour-piezo and fern) electric materials, domains; free
electron theory, fermi energy, density of states, elements of band theory;
semiconductors, Hall effect, optical properties.

• Mechanical properties, elements of elastic and plastic behaviour of
materials, stress-strain relations, slip planes and systems, modes of
deformation, hardness, strengthening mechanisms, effect of temperature on
strength, relations between mechanical properties and microstructure;
fatigue, creep and fracture of materials.

• Effect of environment on materials; corrosion, oxidation, biological
attack.

• Processing of materials; chemical synthesis; powder processing:
sintering.

• Special materials in modern technology composite materials, high Te
superconductors; diamond: nanophase materials, Jectrooptic and
magnetooptic materials; C50 and related materials.

• Elements of mathematics-Analytical solid geometry, differentiation,
integration, differential equations, typical differential equations in science;
vectors, determinants, matrices, Fourier series, complex analysis,
probability and statistics.

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