Subject

Content

Reference Books

Genetics

Laws of inheritance and genetic interaction, Genetic mapping in Virus. Bacteria, & Eukaryotes, Gene expression in prokaryotes and eukaryotes etc.

Principles of Genetics – Robert H. Tamarin, 7th edition, Tata McGraw–Hill, 2002.

Molecular Technique

Restriction endonucleases, Vectors and cloning, Blotting technique, PCR, Sequencing 

Principles of Gene Manipulation- R. W. Old & S. B. Primrose, 7th Edition

Biological Chemistry

Chemistry of Biomolecules, Enzymes, Vitamins & Coenzymes etc.

Principle of BiochemistryLehninger, Macmillan Worth Publication, 3rd edition

Microbiology

Fundamentals of Microbiology, Microbes and Human disease, Environmental and applied microbiology etc.

Microbiology-An introduction (8th edition)- Tartora, Funk & Cane-Pearson publishing house.

Ecology

Abiotic factors, Ecosystem ecology and energy flow, Community ecology and population ecology etc.

Concepts of Ecology by E J Kormondy Fundamentals of ecology by E. P. Odum

Plant Physiology

Transport and translocation of water and solutes, Essential elements and their function, Movement in plants etc

Plant physiology, 3rd edition by Salisbury & Ross- CBS Publisher and Distributor

Bio-Physics

Chemical properties of basic unit of life, energy forces, bonds, Physiochemical techniques to study biomolecules, X-ray crystallography, NMR, molecular modeling etc

Biophysical chemistry by Cantor and Schimmel. Biophysics by Rodney Cotteril.

Developmental Biology

Model systems- Vertebrates, Invertebrates and Plants, Organogenesis, germ cells and sex. etc

Principles of Development – Lewis Wolpert-Oxford University Press, 2nd edition

Cell Biology

Preview of cell, cellular membranous systems,  Transport, Mitochondria, Cytoskeletal network, Cell growth & proliferation, Cell Immunity, etc

Cell and Molecular BiologyPhilip Sheeler & Donald E. Bianchi. 3rd edition, John Wiley Publication.

Animal Physiology

Digestive and Respiratory system, Circulatory system, Excretory system, Nervous and Endocrine system, Body Immune system, etc

Animal Physiology by Sherwood et al, 1st edition Thomson Publication. Animal Physiology by Sherwood et al, 1st edition-Thomson Publication

Subject

Content

Reference Books

Physical Chemistry

Basic principles and applications of quantum mechanics, angular momentum, hydrogen atom, atomic structure, chemical bonding, variational and perturbational methods, pure rotational spectroscopy, vibrational spectroscopy, vibrational-rotational spectroscopy, Raman spectroscopy, electronic spectroscopy, nuclear magnetic resonance spectroscopy, electron spin resonance spectroscopy, mass spectroscopy, fluorescence spectroscopy

Concepts and laws of thermodynamics, entropy, free energy, calculation of changes in thermodynamic properties, partial molar properties, ideal and real gases, ideal and non-ideal solutions, electrolytic solutions, colligative properties, phase equilibria, chemical equilibria, electrochemistry and applications, kinetic theory of gases, statistical thermodynamics Chemical kinetics, rate laws, order and molecularity, determination of reaction mechanism, Arrhenius equation, theory of reaction rates, concept of catalysts, elementary reactions, consecutive elementary reactions, unimolecular reactions, polymerization kinetics, photochemical processes, quantum yield, enzyme kinetics, thermodynamic and kinetic control, physical and chemisorption, molecular interactions, self-assembly and transport processes

1. Donald A. McQuarrie, ‘Quantum Chemistry’, University Science Books (First Indian Edition 2003, Viva Books Private Limited).

2. Ira N. Levine, ‘Quantum Chemistry’, Pearson Education Inc. (2000) (First Indian Reprint, 20033.

3. P.W. Atkins and R.S. Friedman, ‘Molecular Quantum Mechanics’, 3rd Ed. OUP (1997). [4th ed. Has come out].

4. F.L. Pillar, ‘Elementary Quantum Chemistry’, 2nd ed., McGraw Hill (1990).

5. John P. Lowe, ‘Quantum Chemistry’, 2nd ed., Pearson Education Inc.

6. Ira N. Levine, Physical Chemistry, Tata McGraw Hill, 2002, 5th edition

7. Donald A. McQuarrie & J. D. Simon, ‘Molecular Thermodynamics’, Viva Book Pvt Ltd., New Delhi, 2004

8. R. C Srivastava, S K Saha, A K Jain, ‘Thermodynamics’, 2004

Inorganic Chemistry

VSEPR Model, VB Theory, Ionic Crystal Structure, Structure of Complex Solids, Electronegativity, AcidBase Chemistry, Chemistry in Aqueous and NonAqueous Solvents, Periodicity, Chemistry of transition metals, Redox chemistry.
Character Table and its Applications in Infrared and Raman spectroscopy and in Bonding; Coordination Chemistry: Bonding – Valence Bond, Crystal Field, and Molecular Orbital theories; Complexes – Nomenclature, Isomerism, Coordination Numbers, Structure, Electronic Spectra, Magnetic Properties, Chelate Effect; Reactions – Nucleophilic Substitution Reactions, Kinetics
Mechanisms; Organometallic Chemistry: Structure and Reaction of Metal Carbonyls, Nitrosyls, Dinitrogens, Alkyls, Carbenes, Carbynes, Carbides, Alkenes, Alkynes, and Metallocenes; Catalysis by Organometallic Compounds; Stereochemically Non-Rigid Molecules. Bio-inorganic chemistry; metalloenzymes; metalloproteins; role of alkali and alkaline earth metalions, iron, copper, zinc, molybdenum etc. in life processes; Basic concepts in electronic, magnetic and photonic materials and nanomaterials

1. Chemical Application of Group Theory, F. A. Cotton, 3rd edition, John Wiley and Sons, Inc. 2011.

2. J. A. Cowan, “Inorganic Biochemistry An Introduction”, Wiley-VCH, 2nd edition

3. Inorganic Chemistry – Principles of Structure and Reactivity, Huheey, J. E.; Keiter, E. A.; Keiter, R. L.; Medhi O. K.; 4th Edition, Pearson.

4. Concise Inorganic Chemistry, Lee, J.D. 5th Edition, Wiley India Edition.

5. Inorganic Chemistry, Shriver, D.F.; Atkins, P.W.; Overton T. L., Rourke, J. P.,Weller, M. T., Armstrong, F. A. 4th edition, Oxford.

Organic Chemistry

Structure and Reactivity of Organic Compounds:- IUPAC nomenclature of organic compounds, Reactive intermediates (carbocations, carbanions, free radicals, carbenes, benzynes and nitrenes)Aromaticity (Benzenoid and non-benzenoid compounds), Aliphatic & Aromatic Nucleophilic and Electrophilic Substitutions

 Chemistry of Organic Compounds:-Chemistry of functional groups, Structure, property and reactions of five and six membered heterocyclic (O, N and S) compounds, Organometallic compounds in organic synthesis, Natural products (carbohydrates, alkaloids, terpenes, amino acids)

Stereochemistry of Organic Compounds:- Stereochemistry (isomerism, chirality, origin of optical activity, stereochemistry of cyclic compounds, resolution), Selectivity (chemo-, regio-, and stereoselectivity), Conformations and configurational analysis of acyclic and cyclic compounds, Resolution and other asymmetric induction methods, Name reactions and rearrangements

Retro synthetic Analysis :- Disconnection approaches, Protecting Groups, Umpolung of reactivity, Ring synthesis and synthesis of Heterocyclic compounds Pericyclic Reactions and Photochemistry: Orbital symmetry, Electrocyclisation, Cycloaddition, Sigmatropic rearrangements and other related concerted reactions, Principles and applications of photochemical reactions in organic chemistry

Spectroscopy of Organic Compounds:- Structural elucidation of organic compounds using UV, IR, NMR (1H & 13C), Mass Spectrometry

1. March Jerry, Advanced Organic Chemistry, John Wiley & Sons, 4th edition, 1992.

2. Morrison and Boyd, Organic Chemistry, Prentice & Hall, 6th edition, 1992.

3. William Kemp, “Organic Spectroscopy”, Macmillan, 3rd ed. 1991.

4. J. Clayden, N. Greeves, S. Warren, P. Wothers, Organic Chemistry, Oxford University Press.

5. Raj K Bansal, heterocyclic Chemistry, fifth edition (TB), New Age International publishers.

6. I. L. Finar, Organic chemistry Vol. 2, 5th Ed.; Pearson

7. Stuart Warren, Designing Organic Syntheses: A Programmed Introduction to the Synthon Approach, John Wiley and sons Ltd., 1978.

8. W. Graham Solomons and Craig B. Fryhle, ‘Organic Chemistry’, 8th Edition, John Wiley & Sons, Inc. New York, 2004.

9. F. A. Carey, Organic Chemistry, 5th Edition, Tata McGraw-Hill Publications Company Ltd., 2003.

10. P. A. Bruice, Organic Chemistry, 3rd Edition, Reason Edution, Inc. 2001

Analytical Chemistry

Instrumental methods of analysis:- Magnetic Resonance Spectroscopy (1H NMR, 13C NMR, EPR)

Chemical experimentation :- Functional group identification and synthesis of organic compounds,Study of kinetics of chemical reactions

William Kemp, “Organic Spectroscopy”, Macmillan, 3rd ed, 1991 Vogel’s textbook of practical organic chemistry 5th edition

Subject

Content

Reference Books

Algebra

Permutations, combinations, Fundamental theorem of arithmetic, Groups-Subgroups, Theorems, Cayley’s & Sylow’s, Prime & Maximal Ideals, Domain (Ideal & Unique), Fields, finite fields, field extensions, Galois Theory etc.

Topics in Algebra by I.N. Herstein, Vikas Publishing House Pvt Ltd

Analysis

Elementary set theory,Bolzano Weierstrass theorem, Continuity, . Reimann’s sums and Reimann integral, Lebesgue measure, measurable sets, Differentiations, Normed linear spaces, spaces of continuous functions as examples etc.

Principle of Mathematical Analysis by W. Rudin, Mcgraw hill Publishers. Measure Theory and Integration by G. D. Barra, Willey Eastern.

Topology

Topological spaces; special topologies, subspaces, product spaces and quotient spaces, continuity and homeomorphisms, connectedness and compactness, fundamental groups of surfaces

Topology by J.R. Munkres, Pearson Education publication. Introduction to Topology and Modern Analysis by G.F. Simmons, Mc-graw hill Publishers.

Ordinary Differential Equations (ODEs)

Existence and uniqueness of solutions of initial value problems for first order ODEs, singular solutions of first order ODEs, system of first order ODEs. General theory of homogeneous and non-homogeneous linear ODEs, variation of parameters, Strum-Liouville boundary value problems, Green’s function.

Differential Equations by G.F. Simmons. Elementary Differential Equations and Boundary Value Problems, 8th Edition, with ODE Architect CD by G. Krantz, Wiley

Partial Differential Equations (PDEs)

Lagrange and Charpit’s methods for solving first order PDEs, Cauchy problem for first order PDEs. Classification of second order PDEs, general solution of higher order PDEs with constant coefficients, method of separation of variables for Laplace, Heat and Wave equations

Elements of Partial Differential Equations by I.N. Sneddon, Mc-graw hill Publisher.

Linear Algebra

Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformations. Algebra of matrices, rank and determinant of matrices, linear equations, . Quadratic forms, reduction and classification of quadratic forms. etc.

Linear Algebra by K. Hoffmenn and R. Kunze, Prentice hall of India Pvt Ltd. Linear algebra and matrix theory by J. Gilbert and L. Gilbert, Brooks Cole. Introduction to linear algebra by G. Strang Wellesley Cabridge Press

Complex Analysis

Algebra of complex numbers, the complex plane, polynomials, power series, transcendental functions, Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Taylor’s series, Laurent’s series, calculus of residues. Conformal mappings, Mobius transformations. etc

Complex Variables and Applications by James Brown, R. V Churchill.

Numerical Analysis

Computer arithmetic and errors, numerical solutions of algebraic equations, method of iteration and NewtonRaphson method, rate of convergence, Numerical solution of ODEs using Picard, Euler, modified Euler and Runge-Kutta methods etc

Applied Numerical Analysis by Gerald and Wheatley 6/E, Pearson Education.

Probability

Sample space, discrete probability, independent events, Bayes’ theorem. Random variables and distribution functions (univariate and multivariate); expectation and moments. Independent random variables, marginal and conditional distributions. Characteristic functions. Probability inequalities (Tchebycheff, Markov, Jensen). Modes of convergence, weak and strong laws of large numbers, central limit theorems (i.i.d. case).

Introduction to Probability and Statistics: Principles and Applications for Engineering and the Computing Sciences by J. Susan Milton. Schaum’s Outline of Probability and Statistics by Murray R Spiegel, John J. Schiller, R. Alu Srinivasan

Optimization

Modeling with linear programming, general L.P. solution, The simplex method, duality and post optimal analysis, transportation model and its variants, goal programming and integer linear programming, non linear programming algorithms

Operations Research: An Introduction by Hamdy A Taha 8/E, Prentice Hall India/Pearson Education.

Operations Research

Queuing systems: Poisson queuing systems, Reliability: reliability and hazard rate function of series and parallel systems, inventory systems: single item inventory models, simulation and game theory, network models and deterministic dynamic programming

Operations Research: An Introduction by Hamdy A Taha

Advanced Calculus

Functions of several variables, directional derivative, partial derivative, and derivative as a linear transformation, inverse and implicit function theorems.

Thomas’s Calculus (11th Edition) by George B. Thomas, Maurice D. Weir, Joel Hass and Frank R. Giordano, Pearson Publication.

Subject

Content

Reference Books

Modern Physics

Special Theory of Relativity, Particle in One dimensional Potential, Particle in One-dimensional Potential, Many Electrons Atoms, Physics of Molecules, Nuclear Transformations etc

R. Eisberg & R. Resnick, Quantum Physics of Atoms, Molecules & Solids, WSE, 2nd ed., 1985 Arthur Beiser, Concepts of Modern Physics, Tata McGraw-Hill, 6th ed., 2005

Thermodynamics & Properties of Matter

Thermometry, Thermal Expansion, Law of Thermodynamics, Heat Engines and Entropy, Kinetic Theory, Phase Transformations, General Properties of Matter

Zemansky & Dittman, Heat & Thermodynamics, 6th ed., McGraw-Hill, 1981

Classical Mechanics

Constraints, Generalized Coordinates, De Alembert’s principle, Rigid Body Kinematics, Rigid Body Dynamics, Hamilton’s Equations of Motion etc

H Goldstein, Classical Mechanics, Pearson Education, 3rd ed., 2002

Electromagnetic Theory

Electrostatics in Free Space, Electrostatics in Matter, Magnetostatics in Free Space, Magnetostatics in Matter, Faraday’s Law of Electromagnetic Induction, Maxwell’s Equations, Conservation Laws, Electromagnetic Waves, Electromagnetic Potentials, Fields and Radiations

D. J. Griffiths, Introduction to Electrodynamics, Pearson Education, 3rd ed., 1999

Quantum Mechanics

Schrodinger Equation, Eigenvalues, Eigenfunctions, Eigenfunction Expansion, Dirac Notation, Operator Methods, Harmonic Oscillator, Angular Momentum, Central Force Problem, The Hydrogen Atom, Spin, Identical Particles, Time Independent Perturbation Theory

Richard L. Liboff, Introductory Quantum Mechanics, Pearson Education, 4th ed., 2003 Stephen Gisiorowicz, Quantum Physics, John Wiley & Sons Inc., 3rd ed., 2003

Methods of Mathematical Physics

Vector Analysis, Curvilinear Coordinates, Matrices and Vector Spaces, Functions of Complex Variables, Ordinary Differential Equations, Sturm-Lioville Theory and Special Functions, Elements of Partial Differential Equations

Mathew Jon & R. Walker, Mathematical Methods of Physics, Pearson Education, 2nd ed., 1970 Arfken & Weber, Mathematical Methods for Physicists, Academic Press, 6th ed., 2005

Statistical Physics

Elements of Probability Theory, Elementary Kinetic Theory, Quantum Statistics of Ideal Bose Gases, Quantum Statistics of Ideal Fermi Gases etc.

Pathria R K, Statistical Mechanics, Elsevier, 2nd ed., 1996

Solid State Physics

X-ray Diffraction and Crystal Structure, Lattice Dynamics, Free Electron Theory of Metal, Electron in Periodic potential, Energy Bands, Semiconductors, Superconductivity

Kittel C., Introduction to Solid State Physics, WSE, 7th ed., 1995

Optics & Spectroscopy

Geometrical Optics, Interference, Diffraction, Polarization, Crystal Optics & Lasers, Atomic & Molecular Spectroscopy

Ghatak, A K, Optics, Tata McGraw-Hill, 3rd ed., 2005
Banwell C N,
Fundamentals of Molecular Spectroscopy, Tata McGraw-Hill, 4th ed.,1994

Nuclear & Particle Physics

Nuclear Properties and Nuclear Models, Fission & Fusion, The Quark Model, Elementary Particles, their Classification and Interactions, Particle Accelerators, Conservation Laws of Elementary Particles and Fundamental Interactions

Krane K, Introductory Nuclear Physics, John Wiley & Sons, 1st ed., 1988 Griffiths, D J, Introduction to Elementary Particles, WIE, 1st ed., 1987