BRIDGE COURSE MATHEMATICS I st YEAR 1. ALGEBRA 1.1 Surds-Squreroot, cube root of surd 1.2 Mathematical Induction 2. CALCULUS 2.1 Functions-Limits and continuity-some standard limits- right and left limits-Infinite limits and limits at infinity-continuity 2.2Differfntiation-some elementary results on differentiation-the derivatives of trigonometric inverse hyperbolic functions-special methods of differentiation 2.3 Differentiation-applications-errors and approximation-the derivative as rate of changeincreasing and decreasing functions-maxima and minima 2.4 Geometrical interpretation of the derivatives-tangent and normal to the curve at a pointlength of tangent, normal, subtangent and subnormal-angle between two curves 2.5 Partial differentiation- Homogeneous functions (Euler’s Theorem-statement only) and problems related the Euler’s Theorem 3. Co-ordinate geometry (Two dimensional and three dimensional) 3.1Locus-Equation of a locus 3.2 Transformation of axes 3.3 Equations of a Straight line in different forms-Angle between straight lines-concurrent lines-length and foot of perpendicular (only problems) Image of a point with reference to a line 3.4 Pair of straight lines-Angular bisectors of a given pair of straight lines-general equation of second degree in X and Y- Homogenization-(with out proof-only problems) 3.5 Three dimensional Geometry (only problems)-co-ordinate planes, section formulacentroid of a triangle and tetrahedron 3.6Direction cosines of a line- Direction ratios of a line-angle between two lines-projections (with out proofs) 4. TRIGONOMETRY (Problems related to results without proofs) 4.1 Trigonometric functions-the values of trigonometric functions for different anglesperiodicity of trigonometric functions-variations and graphs of trigonometric functions 4.2 Trigonometric functions of compound angles 4.3 Multiple and sub multiple angles 4.4 Transformations 4.5Trigonometric equations-solving simple equations 4.6 Inverse trigonometric functions 4.7 Properties of triangles 4.8 Heights and distances PHYSICAL SCIENCES -1 PHYSICS-1 1. Units, Dimensions and Measurements 1.1 Fundamental and Derived quantities-their units 1.2 S.I. units- definitions of S.I. units and symbols 1.3 dimensions of physical quantity-Dimensional formulae-applications 1.4 errors in measurements 1.5 Systematic and random errors, significant figures 1.6 Importance of accuracy of measurement of physical quantities in the laboratories 2. Elements of vectors 2.1 Scalars and vectors-vector addition, subtraction 2.2 Scalar Product-Applications 2.3 Vector Product –Applications 3. Kinematics and Dynamics 3.1 Two dimensional motion-projectiles and applications 3.2 Collisions in one direction 3.3 Elastic and inelastic collisions and their applications 4. Work-power-energy 4.1 Concepts of work, power and energy-their units 4.2 Potential and kinetic energies-Derivation of their formulae 4.3 Law of conservation of energy in case of a freely falling body and a body thrown vertically upwards 4.4 Non-renewable and Renewable sources of energy 4.5 Conservation of solar energy-Thermal conservation-Photo voltaic conservation 4.6 Wind energy- Biogas- nuclear energy 5. Friction 5.1 Merits and Demerits of Friction- Types of friction 5.2 Methods of minimizing friction 5.3 Angle of Repose- Motion of a body on an inclined plane 6. Simple Harmonic motion and Elasticity 6.1 Expressions for velocity, acceleration, time period and total energy of a body executing S.H.M. 6.2 Three types of deformations and their explanation 6.3 Stress, strain, Hooke’s law, Elastic constants and Poisson’s ratio 7. Thermal Expansion 7.1 Expansion of solids-linear, superficial and cubical expansions and the relation among them 7.2 Apparent and real expansions of a liquid- Relation between them 7.3 Experiment to determine the apparent expansion of a liquid using specific gravity bottle 7.4 Anomalous expansion of water 7.5 Determination of volume and pressure Coefficients of a gas 7.6 Absolute scale of temperature- Boyle’s law and Charle’s law and Ideal gas equation (expression only) 8. Thermodynamics 8.1 Ideal Gas, Isothermal and Adiabatic expansions 8.2 Two types of specific heats of a gas. Only expression showing the relation between Cp and Cv Chemistry-1 1. Atomic structure 1.1 Bohr’s Model of Atom-Postulates 1.2 Quantum Numbers- Significance 1.3 Wave- Particle Dual Natures 1.4 Electronic configuration of atoms- Aufbau principle- Hund’s Rule 2. Periodic table 2.1 Long form periodic table- Classification of Elements into S, P, D, and F blocks- Noble gases 2.2Peridic properties- atomic radius: Ionization energy; electron affinity, electronegavity 3. Chemical Bonding 3.1Differences between ionic bond and covalent bond 3.2Covalent Bond-valence bond theory Hybridization of Orbital sp, sp2, sp3, d2sp3 hybridization (ex.Becl2, BeCl3, ch4, SF6) 3.3Co-ordinate covalent bond (eg.NH4) 3.4Hydrogen bond Types & examples 3.5Metallic bond-V.B. (theory) 4. Stoichiometry 4.1 Mole concept 4.2 Oxidation number- calculation 5. Solutions 5.1 Molarity, molality, normality-mole fraction problems 6. Acid-Bases 6.1 Bronsted –Lowry concept 6.2 Lewis acid base concept 6.3 PH definition-problems 6.4 Buffer solutions 6.5 Salt Hydrolysis 7. Chemistry of Carbon Compounds 7.1Classification based on functional groups 7.2 IUPAC nomenclature of organic compounds 7.3 Preparation & properties of ethane, ethylene, acetylene, chloroform, ethyl alcohol, acetaldehyde, nitro benzene 8. Polymers 8.1 Polymer (definition) concepts of polymerization 8.2 Plastics, classification of plastics-thermosetting-thermoplastic 8.3 Preparation & uses of a) Polyethylene, b) Poly vinyl Chlorid,c) Bakelite d) Teflon 9. Rubbers 9.1 Natural rubber-processing from latex 9.2Vulcanisation-elastomers-butyl rubber-neoprene rubber BRIDGE COURSE MATHEMATICS-Second year 1. ALGEBRA 1.1 1.2 1.3 1.4 1.5 Quadratic expressions Binomial Theorem for positive integral index and for rational index Partial fractions Exponential and logarithmic series Matrices-equality, addition, multiplication –multiplicative inversedeterminants and inverses-properties of determinants-solution of simultaneous linear equations 2. CALCULUS 2.1 Successive differentiation –problems related to Leibniz theorem 2.2 Methods of integrations 2.3 Definite integrals-properties of the definite integrals (without proof) 2.4 Reduction formula (integrals-without proofs) only problems 2.5 Differential equation-formation-solutions of first order and first-degree differential equations (variable separable, homogeneous, nonhomogeneous)-only problems 3. COORDINATE GEOMETRY (Two dimensional) 3.1 Circles-equation of circle-tangents and its equation-chords, tangents, normal-pole and polar 3.2 Systems of circles-angle between two intersecting circles –radical axis of two circles-coaxial Systems-orthogonal systems 3.3 Parabolic-equation of parabola in standard form (without proof)-tangent and normal –pole and polar (only problems) 3.4 Ellipse- equation of ellipse in standard form (without proof)-tangent and normal at a point –pole and polar (only problems) 3.5 Hyperbola- equation of hyperbola-parametric equations-rectangular hyperbola-tangent and normal at a point– asymptotes pole and polar (only problems) PHYSICAL SCIENCES -II Second Year Physics 1.0 Sound 1.1 Sound -Introduction 1.2 Distinguish between musical and sound noise 1.3 Noise pollution and state S.I. units of noise 1.4 Principle of superposition of waves1.5The phenomenon of beats, 1.6the application of beats 1.7 Concept of Doppler Effect, 1.8Echoes -applications 1.9 Absorption of sound, reverberations time 1.10 Accosting of buildings, 1.11 Sabine’s formula 2.0 Electrostatics 2.1 Electric field, Coulomb’s law, electric potential 2.2 Capacitance, Dielectric constant, principle of condenser, series and parallel combination of capacitors 2.3 Types of capacitors-variable capacitors and multiple capacitors-paper capacitors and electrolytic capacitors 3. Current Electricity 3.1 Ohm’s law, conductivity, resistively 3.2 Kirchoff’s laws, wheat stone bridge and applications-meter Bridge and Potentio-meter 4. Electromagnetism 4.1 Concepts of electromagnetism- Oersted’s experiment 4.2 Direction of deflecting magnetic needle- Maxwell’s Cork Screw Rule 4.3 Ampere law, Magnetic field near a long straight conductor 4.4 Biot and Savart’s law - Magnetic field along the axis of a circular coil 4.5 Electromagnetic Induction-Faraday’s law of electromagnetic induction 4.6 Lenz’s law- self inductance and mutual inductance-application of electromagnetic induction 4.7 A.C. current circuits-introduction 4.8 Instantaneous, maximum and R.M.S. values of A.C.currents 4.9 Growth and decay of current in an inductor 4.10 Growth and decay of current in capacitor 4.11 A.C.currents-L-C, C-R, circuits and L-C-R circuits 5 Modern Physics 5.1 Discovery of electron and determination of e/m by Thomson method 5.2 Photo electric effect, Laws of Photo electric emission, Photoelectric cells and their uses 5.3 X-Ray spectra, Moseley’s law and its importance 5.4 Dual nature of matter, DeBroglie hypothesis (concepts only) 5.5 Principle of working of optical fiber 5.6 Types of optical fibers 5.7 Application of optical fibers 6 Semi conductor devices 6.1 Junction diode-Depletion layer 6.2 Barrier potential- Forward and Reverse bias 6.3 Current voltage characteristics of junction diode 6.4 Junction diode as half wave rectifier, full wave rectifier 6.5 Zener diode as voltage regulator 6.6 Thermistor 6.7 P-N-P and N-P-N transistors 6.8 Transistor characteristics 6.9 Transistor amplifier-common emitter (CE) configuration SECOND YEAR CHEMISTRY 1. 1.1 1.2 2. 2.1 2.2 2.3 3. 3.1 3.2 3.3 4. 4.1 4.2 4.3 5. 5.1 5.2 5.3 5.4 6. 6.1 6.2 6.3 6.4 6.5 7. 7.1 7.2 7.3 8. 8.1 8.2 8.3 8.4 9. 9.1 9.2 9.3 9.4 10. 10.1 10.2 10.3 Chemistry of V-A group elements General characteristics Oxides and Oxyacids of Nitrogen & Phosphorus Chemistry of VI-A group elements General characteristics Oxides and Oxyacids of Sulphor Preparation of Sulpuhuric acid Chemistry of VII-A group elements General characteristics Oxides of Chlorine Preparation of Bleaching powder Transition Elements General characteristics Alloys Complex complexes (basic introduction only) Thermo chemistry Exothermic-endothermic reactions Internal energy, enthalpy Heat of formation, heat of solution Hess’s law of constant heat summation Electrochemistry Electrolytes &Non-electrolytes (definition only) Faraday’s laws of electrolysis Galvanic cell Standard electrode potential, electrochemical series-Nernst equation (without derivation) EMF of a cell and its determination Corrosion Definition-types of corrosion-factors affecting corrosion Electrochemical theory of corrosion Prevention of corrosion Surface chemistry Adsorption (Chemical& physical) Colloids-types of colloids, lyophillic, lyphobic sols Emulsions, micelles, cleaning of soaps Catalysis-homogenous, heterogeneous (definition and examples) Environmental Chemistry Environmental segments Concepts of environmental pollution-classification Air pollution-causes and preventive measures Water pollution-characteristics of drinking water -Hardness-determination of hardness -Water-softening techniques (municipal water treatment) -DO (dissolved Oxygen) -Causes of water pollution-preventive measures Fuels Definition and classification of solid fuels-coal and its formation Liquid fuels-petroleum, origin-refining-octane number-antiknock agents Gaseous fuels, watergas, producer gas Bridge course physics practicals First year Physics Any 5 from the following 8 practicals 1. Vernier calipers 2. Screw gauge 3. Simple pendulum 4. Boyle’s law verification 5. Specific heat of solids 6. Concurrent forces 7. Coefficient of apparent expansion of liquid Second year physics 1. Focal length of concave mirror 2. Focal length of convex lens 3. Velocity of sound in air at 00C by using resonance air column apparatus 4. Deflection magnetometer TanA,TanB positions-comparison of magnetic moments of two bar magnets by equal distance method and null methodverification of inverse square law 5. Ohm’s laws verification-R Cotθ graph method 6. Meter bridge-measurement of given resistance 7. Junction diode-measurement of I-V characteristics First year chemistry 1. Characteristic reactions of (Anion) 1. Carbonate 2.Chloride 3.Nitrate 4.Sulphate 2. Characteristic reactions of (Cat ion) 1. Lead 2.Copper 3.Aluminium 4.Zinc 5.Calcium 6.Magnesium 7.Ammonium Acid base titration 1. NaOH vs. H2SO4 2. Na2CO3 vs. HCl SECOND YEAR CHEMISTRY Redox titration 1. Oxalic acid vs. KMnO4 2. Mohr’s salt vs. KMnO4 Practical examination Identification of Anion/Cat ion Volumetric Analysis Record Total 5marks 15marks 5 marks 25 marks BRIDGE COURSE BOTANY PAPER – I I. Introduction and scope of Botany 1.1 Variety of living Organisms: Five kingdom system of classification with suitable examples. 1.2 Branches of Botany (Definition only): Morphology, Anatomy, Cytology, Embryology, Physiology, Genetics, Agronomy. II. Morphology of Angiosperms Root System: Characters of Roots, Types of Root, Taproot, Adventious roots. Root modifications: Storage roots, Respiratory roots, Epiphytic roots, Parasitic roots. Stem: Characters of Stem, Underground Stem Modifications: Rhizome, Corm, Stem tuber, Bulb. Leaf: Characters of Leaf, Phyllotaxy, Venation. Inflorescence: definition, Special types: Cyathium, Verticillaster, Hypanthodil. Flower: Structure of flower, Aestivation. Embryology: Structure of pollen grain, Development of male gametophyte, structure of Ovule, Development and structure of embryosac. Pollination: Types – Self Pollination and cross pollination. Self Pollination: Cleistogamy and safety mechanism. Fertilization: Entry of Pollentube, Double fertilization and Triple fusion, Post fertilization changes, Endosperm and Aril. III. Taxonomy 3.1 ICBN nomenclature, Taxonomic hierarchy, Bentham and Hooker classification. 3.2 Characteristic features, examples and economic importance of the following families: Solanaceae and Liliaceae. IV Cytology and Genetics 4.1 Ultra structure of a plant cell with a description of the following cell organells. Cell wall, Cell membrane (Fluid Mosaic Model), 4.2 Chloroplast, Mitochandria, E.R. Ribosomes Vacuoles. Nucleus Chromatin and Chromosomes-Bacterial cell and Eukaryotic cells, Parallelism between genes and chromosomes. 4.3 DNA as genetic material, structure and replication. 4.4 RNA: Structure of mRNA, tRNA and rRNA, role in protein synthesis. 4.5 Cell division: Mitosis and Meiosis. V Anatomy 5.1 Tissue systems: Elementary account. Epidermal tissues, ground tissues and Vascular tissues. 5.2 Tissues: Meristerms, Parenchyma, Collenchyma, Scierenchyma, Xylem, Phloem. 5.3 Internal Structure of Root, Stem and Leaf of Mono and Dicot plants (Primary Structure only) BRIDGE COURSE BOTANY PAPER – II I Structure and Life Cycles of the following 1.1 Virus: Structure, reproduction, Economic importance 1.2 Bacteria: Structure, nutrition, reproduction, economic importance. 1.3 Spirogyra 1.4 Rhizopus 1.5 Funaria 1.6 Pteris 1.7 Cycas II Plant Physiology Water relations: Water potential, Absorption of water, Ascent of Sap (Cohesion tension theory) Transpiration, Mechanism of stomatal movements. Mineral Nutrition: Introduction, Role of N,P,K fertilizers in Crop productivity, Uptake of nutrients (Active uptake only) Photosynthesis: Introduction, Structure of Chloroplast, pigments, Light reaction, Carbon Pathway in C3. Respiration: Introduction, Glycolysis, fermentation, Kreb’s cycle, Oxidative phosphorylation, R.Q. N2 Metabolism: Mechanism of Biological N2 fixation, Plant Growth Regulators: Role of Auxins, Gibberellins, Cytokinins and ABA in Agriculture and Horticulture. III Ecology 3.1 Brief account of an ecosystem-structure and function. 3.2 Environmental pollution: Air, Water and Soil. 3.3 Global Environmental changes: Greenhouse gases, global warming, sea level raise and ozone layer depletion. 3.4 Biotic resources: Threats, use and misuse of natural resources. (For environmental pollution and global environmental changes they may collect material from science magazines or from ecology books) VI Plants for Human Welfare: Scope and importance of Biofertilizers 4.1 Rhizobium 4.2 Cyanobacteria 4.3 Azolla 44 Mycorrhiza 4.5 Vermicompost 4.6 Tissue Culture: General account and importance of tissue culture, cybrids. BRIDGE COURSE ZOOLOGY PAPER – I I The Basics 1.1 Nature and Scope of Zoology-Branches of Zoology. 1.2 Principles of classification- Bionomial nomenclature. 1.3 Differences between Prokaryotes and Eukaryotes. II Animal Organisation – I 2.1 Symmetry (Definition of Asymentry, Spherical, Radial, Bi-radial and Bilateral Symmetry with examples) 2.2 Definition of Coelom. 2.3 Cytology: Structure of animal Cell, Plasma Membrane, Cytoplasm, Nucleus, Mitochondria, Endoplasmic reticulum, Golgi Complex, Lysosomes, Ribosomes, Centrosomes and Chromosomes. III Animal Organisation – I 3.1 Animal tissue Simple-Squamous, Cuboidal, Columnar and Ciliated. 3.2 Fluid tissue: Blood cells, Functions of blood. 3.3 Muscular tissue: Structure of Neuron. IV General Characters of the following invertebrate Phyla with examples: 4.1 Protozoa, Porifera, Cnidaria, Platyhelminthes, Nematehelminthes, Annelida, Arthropoda, Mollusca and Echinodermata. 4.2 Locomotory organs and types of reproduction in Protozoa. V Phylum: Annelida (Pheritima Posthuma) 5.1 Habit and Habitat. 5.2 External characters. 5.3 Arrangement of Setae. 5.4 Digestive System. 5.5 Nervous system. VI Phylum: Arthropoda (Perplanata Americana) 6.1 External characters. 6.2 Digestive system. 6.3 Mouth parts of Insects (House fly, Mosquito and Butter fly) 6.4 Economically important products of Honey – bee, silk-worm and Lac-insect. VII Animal Associations 7.1 Introduction 7.2 Definition and examples of Symbiosis or Mutualism, commensalisms and Parasitism. 7.3 Life cycles of following parasites: a) Plasmodium vivax b) Taenia solium c) Wuchereria bancrofti VIII Man and Biosphere Abiotic factors (light, Temperature and water) Biotic factors (Producers, Consumers and Decomposers) Pond Eco system. Definition of Food-Chain, Food-web, Ecological pyramids. Environmental Pollution (Air-pollution and Water – pollution). BRIDGE COURSE ZOOLOGY PAPER – II I Phylum: Chordata 1.1 General characteristics of Chordata 1.2 Outline classification of Chordata upto classes with examples. 1.3 Fishes and Amphibia, General characters. II Reptilia, Aves and Mammalia 2.1 General characters of reptilian; Snakes and their poisonous apparatus. 2.2 Identification of poisonous and non-poisonous snakes. 2.3 General characters of Aves and Mammalia with examples. 2.4 Distinctive features of Ratitae with suitable examples. 2.5 Important characters of Prototheria (Egg –laying mammals) III Rabbit: Functional Anatomy –I 3.1 Digestive system (Alimentary canal, Digestive glands, Role of Vitamins and Minerals in Nutritution) 3.2 Structure of Heart. 3.3 Blood clotting. IV Rabbit: Functional Anatomy- II 4.1 Types of Joints. 4.2 Excretory organs of Rabbit. V Rabbit: Functional Anatomy- III 5.1 central nervous system. 5.2 Endocrine system-Pituitary, Thyroid, Adrenal glands and Gonads. VI Genetics 6.1 Mendel’s Laws 6.2 Blood groups, Rh Antigen 6.3 Nucleic acids (Structure of DNA and RNA). VII Animal Breeding 7.1 Inbreeding and out breeding VIII Applied Biology 8.1 Aquaculture (important examples of Capture and Culture fishery, Craft and Gear) 8.2 Poultry farming methods, Poultry diseases 8.3 Immunology (Innate and Acquired) 8.4 Cells of immune system (Lymphocytes and Phagocytes) 8.5 Immunological disorders (Acquired Immune Deficiency Syndrome (AIDS), Hepatitis) 8.6 Biotechnology-Production of Vaccines, Enzymes, Hormones using Recombinant DNA technology. 8.7 Cancer Biology-types of cancers, Causative agents of cancer. Biological sciences Practicals Botany Practical Section – A Anatomy: Section Cutting of the following plant material and preparation of slide Monocot Root e.g. Crinum Dicot root (Primary) e.g. Cicer / Trigonella Scedling Monocot Stem eg. Grass Dicot Stem (Primary) e.g. Tridax Section – B Taxonomy: Description of the Family. Vegetative Floral Characters necessary for identification of the Family Solanaceae, Liliaceae. Section - C Experiments: 1. Identification of starch in the given sample (Rice / Potato) 2. Study of Plasmolysis ( by Rheo discolor peels or by grapes) 3. Determination of Osmotic Potential (by Potato Osmometer) 4. Study of Plant population by Quadrant Method. Section – D, E & F Section – D 1. Tuberous Root 3. Rhizome 5. Bulb eg.Carrot, eg.Zinger e.g. Onion 2. Parasitic Root 4. Corm e.g. Cuscuta eg.Colocasia Section - E 12. Funaria plant with sporophyte 13.Pteris Sporophyll 14. Cycas-male cone 15.Cycas megasporophyll 16. Cycas coralloid roots 17.Red rot of sugarcane 18. Smut of Sorghum 19.Citrus Canker Section – F 20. Scalariform Coniugation in Spirogyra 21. Aplanosporangia of Rhizopus 22. L.S. of Funaria Capsule. 23. T.S. Pteris Sporophyll 24. T.S. of Pteris Rhizome. 25. T.S.of Cycas Coralloid Root 26. L.S.of Cycas Ovule V. Record and Herbarium Herbarium: 10 Sheets should be prepared by the student out of which two will be of Economic importance, two will be of Ecological importance and the remaining six will be the families included in the syllabus. Botany Practical Model Exam paper 1. Take the T.S. of the given material ‘A’ and prepare a slide. Identify the material with suitable reasons. Draw a neat labeled diagram 5 Marks 2. Describe the identifying features of plant material ‘B’ and identify it up to family level by giving reasons. Draw L.S. of flower, floral diagram and write floral formula 4 Marks 3. Conduct the given experiment ‘C’. Comment on the results and their significance. 5 Marks 4. Identify the Spotters/ Slides D, E and F (2 X 3) 6Marks 5. Record (3 Marks) and Herbarium (2 Marks) 5 Marks Biological sciences Practicals Zoology Practical Section – A I. Specimens 1. Porifera : Sponge 2. Cnidaria : Jelly – fish (Aurelia), Adansia 3. Platyhelminthes : Taenia solium (Tape-worm) 4. Nematehelminthes : Ascaris (Male and Female) 5. Annelida : Leech 6. Arthropoda : Scorpion, Palaemon (Prawn), Crab, Spider, Butter-fly (Moth) 7. Mollusca :Pila (Gastropoda); Unio (Bivalvia) 8. Echinodermata : Asterias (star-fish) 9. Osteology : Joints (Pivotal, Ball and Socket, Hinge joint and gliding joint) II. Physiology 1. Identification of Sugars, Albumin and Starch in given samples. III. dissections Any one of the following animals 1. Earth _ worm (Pheretima Posthuma) : Digestive system and Spanmatheca 2. Cockroach (Periplanata Americana) : digestive system and nervous system IV. Record Book For the specimens and Dissections Die Zoology Practical Model Exam paper 1. Dissect and display of the digestive system of Earth – Worm and draw a well labeled diagram (Figure: 2 Marks, Dissection: 3 Marks) 5 Marks 2. Identification of Sugar in the given Urine sample. Write the procedure and tabulate the results (Procedure; 2 Marks, and Results: 3 Marks) 5 Marks 3. Identify the following spots (A, B, C, D, and E) and write the important characters with a neat labeled diagram. 5X2 10 Marks 4. Record Book. 3+2 5 Marks