WBJEE 2014 Syllabus in details

West Bengal Joint Entrance Exam or WBJEE is a state level entrance exam for admission to the undergraduate courses in Engineering / Technology / Architecture / Medical / Dental and Pharmacy in universities or colleges in West Bengal. Last year Medical Exam had been excluded from WBJEE for NEET. Now Supreme Court has thrashed NEET exam. For this West Bengal Health Department said that the medical exam will be held like other stream in WBJEE 2014. However there will be few changes in eligibility criteria and exam pattern. The syllabus will be same as Mathematics, Physics, Chemistry and Biology. For WBJEE 2014 Medical the biology will be included. Here is the full detail syllabus of WBJEE 2014 including Biology as medical Syllabus.

Mathematics syllabus for WBJEE 2014

Unit 1: Algebra

A.P., G.P., H.P.: Definitions of A. P. and G.P.; General term; Summation of first n-terms; A.M. and G.M.; Definitions of H.P. (only 3 terms) and H.M.; Finite arithmetico-geometric series.

Unit 2: Logarithms

Definition; General properties; Change of base.

Unit 3: Complex Numbers

Definition and properties of complex numbers; Complex conjugate; Triangle inequality; Square root of complex numbers; Cube roots of unity; D’Moivre’s theorem (statement only) and its elementary applications.

Unit 4: Quadratic Equations

Quadratic equations with real coefficients; Relations between roots and

Coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression

Unit 5: Permutation & Combination

Permutation of n different things taken r at a time (r ≤ n). Permutation of n things not all different. Permutation with repetitions (circular permutation excluded). Combinations of n different things taken r at a time (r ≤ n). Combination of n things not all different. Basic properties. Problems involving both permutations and combinations

Unit 6: Principle of Mathematical Induction

Statement of the principle, proof by induction for the sum of squares, sum Of cubes of first n natural numbers, divisibility properties like 22n— 1 is divisible by 3 (n ≥ 1), 7 divides 32n+1+2n+2 (n ≥ 1)

Unit 7: Binomial Theorem (positive integral index)

Statement of the theorem, general term, middle term, equidistant terms, properties of binomial coefficients.

Unit 8: Matrices

Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).

Unit 9: Sets

Relations and Mappings: Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan’s Laws, Inclusion / Exclusion formula for two or three finite sets, Cartesian product of sets.

Unit 10: Probability

Classical definition, addition rule, conditional probability and Bayes’ theorem, independence, multiplication rule.

Unit: 11 Trigonometry

Trigonometric ratios, compound angles, multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions

Unit: 12 Differential Calculus

Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives of implicit functions and of functions defined parametrically.

Unit: 13 application of calculus

Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves.

Unit: 14 differential Equations

Formulation and solution of differential equations of the forms.

1) dy / dx = f(x).g(y)

2) dy /. dx = f(y/x)

3) dy / dx = (ax+by) / (cx+dy)

4) dy / dx = (a,x+b,y+c,) / (a,x+b,y+c, ), (a,/a2 = b,/b,)

5) dy / dx + p(x)y = Q(x)

6) d2y / dx2 + p, dy/dx + p2y = 0 with p1 and p, constants.

7) d2y/dx2 = f(x)

Physics syllabus for WBJEE 2014

Unit: 1 Mechanical & General properties of Matter

(i)Units and dimensions: Units of measurement, system of units, fundamental and derived units, S I units, dimensional analysis, Methods of measurement: Vernier scale, screw gauge, analysis of errors, significant figures.

(ii) Calars and vectors: Addition, subtraction, multiplication of vectors

(iii) Kinematics in one, two and three dimensions, projectiles, uniform circular motion, centripetal force, centrifugal force, relative velocity

(iv) Dynamics: Newton’s laws of motion; inertial frames, uniformly accelerated frame (pseudo-forces), conservation of linear momentum, rocket motion, centre of mass, impulsive forces, friction.

(v) Work, Power and Energy, conservative and non-conservative forces, conservation of energy,collision (elastic and inelastic).

(vi) Rotational motion: Torque, angular momentum and conservation of angular momentum, moment of inertia, radius of gyration, moment of inertia of objects with simple geometrical shapes, rotational kinetic energy and rolling on horizontal surface

Unit: 2 Gravitation

Laws of gravitation, gravitational field and potential, acceleration due to gravity and its variation, escape velocity, Kepler’s laws and planetary motion, motion of satellites, Geostationary orbit.

Unit: 3 Elasticity

Hooke’s law, elastic modulii, Poisson’s ratio, elastic energy.

Unit 4:Hydrostatics and Fluid Mechanics

Pressure in a fluid, Pascal’s law, Archimedes’ principle, hydraulic press. Surface energy and surface tension, capillary rise.Viscosity, streamline and turbulent motion, critical velocity, Reynold’s number, Stoke’s law, Bernoulli’s theorem.

Unit: 5 Vibrations

Simple Harmonic Motion, equation of motion, damped and forced vibrations, resonance, and superposition of SHM.

Unit: 6 Wave Motion

Elastic waves, longitudinal and transverse waves, progressive waves, superposition of waves: interference, stationary waves, beats, vibration of strings, air columns, velocity of elastic waves in different media, Doppler effect.

Unit 7: Thermal Physics

Scales of temperature, thermal expansion of solids, liquids and gases, calorimetry, change of state of matter, latent heat, transition temperature, Transmission of heat: conduction, convection, radiation, Black body radiation, absorptive and emissive powers: Kirchoff’s law, Wien’s law, Stefan’s law, Newton’s law of cooling, Kinetic theory: mean free path, pressure of an ideal gas, mean and rms velocity of molecules of a Gas, kinetic interpretation of temperature, degrees of freedom, equipartition of energy (statement only) application to mono atomic and diatonic gases.

Unit 8: Thermodynamics

First law of thermodynamics, equivalence of heat and work, intensive and extensive thermodynamic variables, reversible and irreversible processes, specific heats of gases, relation between Cp and Cv.

Unit 9: Optics

Reflection and refraction at plane and spherical surfaces, total internal reflection, thin lenses, power of a lens, combination of lenses and mirrors, deviation and dispersion by prisms, Simple and compound microscopes, astronomical telescope, human eye: defects and remedies. Coherent sources, interference of light, Young’s double slit.

Unit: 10 Current Electricity

Electric current, drift velocity and mobility. Ohm’s law, resistivity, combination of resistances in series and parallel, combination of cells. Kirchoffs laws, Wheat stone bridge, MetreBridge, potentiometer.Heating effect of current, thermoelectricity, see beck and Peltier effect. Chemical effect of current, Faraday’s law of electrolysis, primary and secondary cells.

Unit: 11 Electrostatics

Coulomb’s law, electric field and potential, flux of electric field, Gauss’ law, electric field and potential due to an infinite line charge, charged infinite sheet, solid spheres and spherical shells.Electric dipole and field due to dipole. Capacitance, spherical and parallel plate capacitors, energy stored in a capacitor, series and parallel combination of capacitors.

Unit: 12 Electromagnetic Inductions

Magnetic flux, Faraday’s laws of electromagnetic induction, Lenz’s law, self and mutual induction,Flemings right hand rule, Alternating current, peak and rms value of alternating current; generator, D.C. motor and transformer Qualitative idea of electromagnetic wave and its spectrum.

Unit: 13 Modern Physics

Bohr’s atomic model for hydrogen like atom, hydrogen spectrum, x-ray emission, Moseley’s law, wave particle duality, de Broglie’s hypothesis, photo-electric effect .Constituents of atoms, isotopes, mass defect, mass-energy equivalence, binding energy. radioactivity – α, β, γ radiation, half life, mean life, fission, fusion. Energy bands in solids, intrinsic and doped semiconductors, p-n junction diode, rectifier, pnp and npn transistors, common emitter characteristics. Binary number, AND, OR, NOT, NAND and NOR gates.

Chemistry syllabus for WBJEE 2014

Unit 1: Atoms, Molecules and Chemical Arithmetic

Dalton’s atomic theory; Gay Lussac’s law of gaseous volume; Avogadro’s Hypothesis and its applications. Atomic mass; Molecular mass; Equivalent weight; Valency; Gram atomic weight; Gram molecular weight; Gram equivalent weight and mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation-reduction, neutralization, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.

Percentage composition, empirical formula and molecular formula; Numerical problems

Unit 2: Atomic Structure

Concept of Nuclear Atom — electron, proton and neutron (charge and mass), atomic number; Rutherford’s model and its limitations; Extra nuclear structure; Line spectra of hydrogen atom. Quantization of energy (Planck’s equation E = hν); Bohr’s model of hydrogen atom and its limitations, Sommerfelds modifications (elementary idea); The four quantum numbers, ground state electronic configurations of many electron atoms and mono-atomic ions; The Aufbau Principle; Pauli’s Exclusion Principle and Hund’s Rule. Uncertainty principle; The concept of atomic orbitals, shapes of s, p and d orbitals (pictorial approach) Radioactivity and Nuclear Chemistry

Radioactivity — α-, β-, γ-rays and their properties; Artificial transmutation; Rate of radioactive decay, decay constant, half-life and average life period of radio-elements; Units of radioactivity, Numerical problems. Stability of the atomic nucleus — effect of neutron—proton (nip) ratio on the modes of decay, group displacement law, radioisotopes and their uses (C, P, Co and I as examples) isobars and isotones (definition and examples), elementary idea of nuclear fission and fusion reactions.

Unit 3: The periodic Table & Chemical Families

Modern periodic law (based on atomic number); Modern periodic table based on electronic configurations, groups (Gr. 1-18) and periods. Types of elements-representative (s-block and p-block), transition (d-block) elements and inner transition (f-block / lanthanides and actinides) and their general characteristics. Periodic trends in physical and chemical properties—atomic radii, valency, ionization energy, electron affinity, Electro negativity, metallic character, acidic and basic characters of oxides and hydrides of the representative elements (up to Z = 36). Position of hydrogen and the noble gases in the periodic table; Diagonal relationships

Unit 4: Chemical Bonding & Molecular Structure

Valence electrons, the Octet rule, electrovalent, covalent and coordinate covalent bonds with examples; Properties of electrovalent and covalent compounds. Limitations of Octet rule (examples); Fajan’s Rule. Directionality of covalent bonds, shapes of poly-atomic molecules (examples); Concept of hybridization of atomic orbital’s (qualitative pictorial approach) : sp, sp2, sp3 and dsp2. Molecular orbital energy diagrams for homonuclear diatomic species – bond order and magnetic properties. Valence Shell Electron Pair Repulsion (VSEPR) concept (elementary idea) — shapes of molecules. Concept of resonance (elementary idea), resonance structures (examples). Elementary idea about electro negativity, bond polarity and dipole moment, inter- and intra- molecular hydrogen bonding and its effects on physical properties (mp, bp and solubility); Hydrogen bridge bonds in diborane.Double salts and complex salts, co-ordination compounds (examples only), co-ordination number (examples of co-ordination number 4 and 6 only).

Unit: 5 Solubility and Solubility Products

Common ion effect (no numerical problems).

Unit: 6 Chemistry of Carbon Compounds

Hybridization of carbon – σ- and π-bonds.Isomerism -constitutional and stereoisomerism; Geometrical and optical isomerism of compounds containing upto two asymmetric carbon atoms. IUPAC nomenclature of simple organic compounds- hydrocarbons, mono and bifunctional molecules only (alicyclic and heterocyclic compounds excluded).Conformations of ethane and n-butane (Newman projection only).

WBJEE 2014 Biology Syllabus:

BIOLOGICAL SCIENCES

Unit of Life: Definition of life, Cell as the basic unit of life. Cell theory, Prokaryotic and Eukaryotic cell – structure and differences.

Ultrastructure and functions of cellular components: Cell wall, Plasma membrane, Plastid, Endoplasmic reticulum, Golgi bodies, Mitochondria, Ribosomes, Lysosomes, Nucleus, Centrosomes, Cilia, Flagella.

Microscopy: Components and principles of Simple and Compound Microscope;

Electron Microscope: Basic functional principles.

Physical and chemical principles involved in maintenance of life processes: Diffusion, Osmosis, Absorption, Osmoregulation.

Biomolecules: Classification and structural properties of carbohydrates, lipids, aminoacids, proteins and nucleic acids.

Carbohydrates: Monosaccharides, digosaccharides, and polysaccharides (starch, glycogen, cellulose).

Proteins: Simple (albumins, globulins, collagen) and conjugated proteins (only examples).

Nucleic acids: Structure of DNA, RNA, types of RNA.

Enzymes: Definition & properties, Examples; Mechanism of Action, Allosterism and Regulation.

Chromosomes and Cell Division: Morphology of chromosomes; Euchromatin and Heterochromatin.

Nucleic acid as genetic material (Examples: Bacterial Transformation and Viral Transduction).

Brief idea of Polytene chromosomes: Cell cycle and phases (excluding control mechanism). Characters of malignant cell; Process & significance of Meiosis.

Genetics: Laws of Heredity: (Monohybrid and dihybrid crosses; Mendel’s laws). Back cross, Test cross, Linkage, Crossing over, Sex linked inheritance – Colour blindness, Haemophilia.

Mutation – Definition and Types; Replication of DNA, Transcription and Translation (Brief idea).

Origin, Evolution and Diversity of Life: Haldane and Oparin’s concept on origin of life. Modern concept of Natural selection, Biological Species concept.

Human evolution – an outline.

Taxonomy and Classification: Definition; Importance of Taxonomy, Binomial Nomenclature, Law of Priority (Homonym & Synonym).

Concept of Biodiversity: Definition of Biodiversity; Genetic diversity; Species diversity and Ecosystem diversity. Five kingdom classification (only distinct characters).Salient features of major animal phyla with common examples, classification of Chordates (up to Sub Class) with distinctive characters only.

Population Biology: Concept of population growth (logistic and exponential) and population control.

Ecosystem: Concept of ecosystem and Biosphere, Wetland. Brief idea of Ecological pyramids, Energy flow, Biogeochemical cycle (concept only).

Environmental pollution: Air, water and noise pollution – sources effects and probable control strategies; Biomagnification and Bioaccumulation. Cause of Dyslexia, Minamata and Etai etai diseases. Green house effect, BOD, COD, Acid rain and Ozone hole.

Virus and Bacteria: Morphological characteristics of Bacteriophage (T2),Plant virus (TMV);Animal virus (influenza),Bacterial cell (E. coli).

Staining: Gram staining for bacteria.

Biotechnological application of microbes: (a)Agricultural – Rhizobium and other Nitrogen fixing bacteria, Biofertilizers and Bio- pesticides ; (b) Industrial – Production of curd; tanning and brewery; synthesis of antibiotics, vitamin. (c) Cloning of microbial genes.

Tissue and tissue system: (a) Plant Tissues–Meristematic and permanent (types with characterization and function). (b)Animal Tissue – outline classification and examples.

Functions of life:

Photosynthesis: Major photosynthetic pigments, outline concept of light and dark reaction phases, basic idea of bacterial photosynthesis, C2, C3, C4 pathways, CAM (in brief), photorespiration.

Respiratory system: (a) Definition of respiration, Mechanisms of glycolysis, Kreb’s cycle (Flow chart only; calculation for ATP, CO2 & H2O) ; Outline idea of Electron Transport system, Relationships of photosynthesis and respiration. (b)Respiratory system in human : Respiratory tract, Mechanism of breathing, Role of intercostals muscles and diaphragm;

Significance of physiological and anatomical dead space.

Tidal volume, inspiratory and expiratory reserve volumes, residual volume, vital capacity. Composition of inspired, expired and alveolar air. Common respiratory diseases – definition and causes – Asthma, Tuberculosis, Hypoxia, Anoxia, Apnoea, Dyspnoea.

Cardiovascular system & Blood:

Anatomy of Heart – junctional tissues of the heart; origin and propagation of cardiac impulse. Histological structures of arteries, veins and capillaries. Cardiac cycle – Atrial and ventricular events only; cardiac cycle time, Heart sound. Cardiac output – definition, Stroke and Minutes volume.

Blood pressure: factors controlling & measurement.

Blood – Composition and functions of blood.

Blood coagulation and anticoagulants, Blood group and Rh factor, Blood Transfusion, Lymph and tissue fluid formation and functions, Portal circulation.

Nutrition and Digestive system: Basic constituents of food and their nutritional significance. Vitamins – dietary sources, functions and deficiency symptoms of water and fat soluble vitamins. Structure and functions of the alimentary canal and the digestive glands. Functions of the digestive juices (saliva, gastric juice, pancreatic juice, intestinal juice), Biles. Digestion and absorption of carbohydrates, lipids and proteins. Diseases – Peptic and Gastric ulcers, Gastritis; fasting and obesity.

Metabolism: Definition; B.M.R. – Controlling factors; elementary idea of metabolic pathways; glycogenesis, glycogenolysis, gluconeogenesis, Oxidation of fatty acids, Ketone body formation and its significance. Deamination, Transamination and Decarboxylation of aminoacids (definition only).

Excretory system: Histology and function of the nephron (brief idea)

Normal and abnormal constituents of urine.

Nervous and Muscular system: Brief outline of human brain structure.

Cranial nerves: Distribution and Function.Spinal cord – Structure and major functions, Reflex arc (types) and reflex action : Conditional and unconditional reflexes.

Autonomic: sympathetic and parasympathetic (definition only) nervous system.

Synapse: Structure and mechanism of synaptic transmission.

Different types of muscles and their structure, properties of muscles

(i)Excitability (ii) Contractility (iii) All or none law (iv) Refractory period (v) Summation of stimuli (vi) Tetanus (vii) Rigor mortis; Machanism of muscle contraction.

Endocrine system and animal hormones:

Definition of endocrine glands and hormones, functions of hormones released from (i) pituitary (ii) thyroid (iii) pancreas (iv) adrenal (v) gastrointestinal gland, An outline mechanism of action of protein & steroid hormones.

Causes and symptoms of Acromegaly, Diabetis insipidus, Diabetis mellitus, Goiter, Cushing’s disease.

Growth, Reproduction, and Ageing:

A. In Plants:

Different parts of a typical flower (China rose). Types of flower: regular and irregular, actinomorphic, zygomorphic. Aestivation in Musaceae & Malvaceae. Floral formula: Definition, symbols used in floral formulae in Musaceae (e.g. Banana) and Malvaceae (eg. China rose); Pollination – Definition, self and cross pollination; Merits and demerits of self and cross pollination. Fertilization – Process of double fertilization. Dispersal of fruits and seeds – Types with examples. Phases and factors of Growth, Differences between growth and development, Abscission senescence, ageing and growth of seeding and the role of gibberellic acid.

B. In Animals:

Primary and secondary sex organs and secondary sex characters – Testis – Histology, Functions of Testosterone. Spermatogenesis (outline). Ovary – Histology: Functions of estrogen and progesterone; Oogenesis (outline); structure of mature Graafian follicle.

Menstrual cycle (brief idea). Fertilization and Implantation.

Immunology: A brief idea of antigen and antibody. Elementary knowledge of inherited, acquired, humoral, cell mediated immunity. Active and passive immunity. Prevention of AIDS and Hepatitis B.

Medical, Agricultural and Economic zoology:

A.Outline idea of diseases, their causative organism, mode of infection, symptoms and preventive measures of:

(i) Malaria

(ii) Filariasis

(iii) Ascariaisis

Distinguishing features of Culex, Anopheles and Aedes

Life cycle and comparative study of Culex and Anopheles;

Causative agents of encephalitis and kalaazar and control of their vectors.

B. Characteristic features of major and minor carps and examples of exotic carps. Mechanism of induced breeding – hypophysation.

Composite culture of carps, common diseases of carp – Gillrot, fin rot and Dropsy.

Definition of pest, Damage symptoms and control of Scirpophaga incertulus and Leptocorisa acuta.

C.Poultry – Types of poultry birds ; high yielding varieties of poultry birds. Species of honey bees in India and different castes in a colony. Composition and uses of honey.

Chemical composition of silk, types of silk and silk worms.

Life cycles of mulberry silk worm. Structure of silk gland.

Symptoms of Flacherie, Muscardine, Grassarie and Pebrine.

Application of Biology:

Pesticides and Biological Pest Control – Benefit and hazards, Basic principles of ex situ and in situ conservation. Red Data Book, Green Data Book.

Role of phytohormones in horticulture and agriculture.

Hybridization in plants – Definition and techniques.

Idea about plant cell and tissue culture – Micropropagation.

Principles and application of transgenic plants and animal, Test tube baby.

Biomedical engineering:

Application – ECG & EEG

Imaging – USG, CT Scan, X-ray, MRI

Therapeutic – Pacemaker,Dialyzer.