Intermediate Course in MPC

Intermediate Course in MPC

Chemistry - SyllabusFirst Year

I. Atomic Structure
1. Types of Electromagnetic radiation - wave nature and photon concept -Electromagnetic radiation. Simple description of Emission, Absorption,Line and Band spectra - Atomic spectrum of Hydrogen (simple decription).
2. Bohr's Model of Atom.Expressions for the Energy and radius of the Hydrogen atomic orbits withderivations - Explanation of the atomic spectrum of hydrogen.
3. Wave nature of matter - De - Broglie relation - Heisenherg Uncertainityprinciple with simple calculations/problems.
4. Sommerfeld's Theory. Quantum numbers. Pauli's exclusion Principle.
5. Schrofinger's wave equation (elementary treatment) - shapes of s, p andd atomic orbitals with emphasis on nodal planes.
6. Stability and magnetic behaviour of atoms - Based on concepts ofelectronic configuration.
II. Periodic Table
1. Modern periodic table - s, p, d & f block elements.
2. Periodicity of properties with respect to atomic size, ionic radius, oxidationstate - Ionization potential, electron affinity and electronegativity ingroups and periods
III. Chemical Bond
1. Effect of Ionization potential, electron affinity and electronegativity on thenature of chemical bond.
2. Characteristics of crystalline ionic compounds - Lattice energy.
3. Born-Haber cycle - Crystal structure of Nacl and CsCl.
4. Covalent compounds - BeCl2, BF3, CO2, NH3, H2O, PCl5, SF6, CH4, C2H4,C2H2.
5. Valence Bond theory of covalent bond - overlap of orbitals - Sigma and Pibonds and multiple bonds. Bond length, bond angle and bond energy.
6. Types of Hybridization SP, SP2, SP3, dsp3, d2sp3 and shapes of molecules.VSEPR Theory.
7. Polarity of covalent bond concept of dipole moment - Dipole moments ofHCL, H2O, SO2, NH3, CH4, CCl4.
8. Hydrogen bond - intra molecular and inter molecular Hydrogen bonding.
9. Metallic Bond (elementary treatment).
IV. Gaseous State
1. Derivation of ideal gas equation.
2. Graham's law of diffusion - Dalton's law of partial pressure - simple numerical problems.Kinetic theory of gases - Postulates - Derivation of the expression PV=1/3 mnc2.
3. Deduction of gas laws (Boyle's law. Charle's law. Daltion's law and Gabam's law) from PV=1/3 mnc2.
4. Distribution of molecular velocities RMS velocity and its variation withtemperature - average velocity, most probable velocity, average kinetic
5. Energy of the molecules.
V. Stoichiometry
1. Mole concept, Oxidation numbers.
2. Balancing of Redox ractions by ion-electron (half-reaction) methods.
3. Balancing of Redox reactions by Oxidation number method.
4. Numerical calculations based on equations relating to all types of chemicalreactions. (Excluding problems based on molarity, normality and energychanges).
5. Calculation of emperical and molecular formulae of carbon compounds.
VII. Hydrogen And Its Compounds
1. Position of Hydrogen in periodic table.
2. Hardness of Water and its removal.
3. Heavy water and its properties and uses.
4. Preparation, properties and uses of H2O2 and structure.
VII. Alkali And Alkaline Earth Metals
1. General characteristics of alkali metals, chemical properties with referenceto Oxides, halides, carbonates.
2. Occurance, extraction, properties and uses of Sodium and Magnesium.
3. Preparation, properties and uses of the following compounds, SodiumHydroxide, Sodium Carbonate, Sodium biocarbonate, Plaster of Paris, LimeMortar and Gypsum.
VIII- III - Group Elements
1. General discussion of the III Group elements. Chemical properties with reference to oxides, Halides and Hydroxides.
2. Extraction, properties and uses of Aluminium.
3. Preparation, properties and uses of potash Alum.
4. Preparation, properties and structure of Diborane.
IX- IV - Group Elements
1. General discussion of 4th Group elements - structure and uses of diamondand graphite with emphasis on hybridisation of carbon atom.
2. Preparation, properties and uses of Silicon Dioxide, comparison of Sio2 with CO2.
3. Manufacture and uses of producer gas and water gas.
X. Chemistry Of Carbon Compounds
1. Classification of Hydrocarbons.
2. Homologous series, nomenclature of aliphatic hydrocarbons.
3. Structural Isomerism.
4. Preparation, properties, structure and uses of Methane, Ethane, Ehylene, Acetylene.
5. Preparation properties and structure of Benezene.
XI. Noble Gases
1. Discovery, occurance, isolation and uses of noble gases.
2. Structural aspects of Xenon compounds (Oxides & Fluorides).
XII. Environmental Chemistry
1. Environment, Terminology - Pollutant, contaminant, Recepter, sink,speciation, dissolved oxygen, Threshold limit.
2. AIR POLLUTION : Common air pollutions CO and Oxides of N & S acidrains and green house effect.
3. Water pollutions : Common Water pollutants, Organic Pollutant Biologicaloxygen demand, Inorganic pollutants, Water treatment with respect toflourine content, Ozone layer and effect of freons.

Mathematics Ib(Coordinate Geometry And Calculus)

Coordinate Geometry
Dimensions:
1. Locus
2. Translation and rotation of axes
3. Straight lines
4. Pair of Straight lines
Dimensional:
5. Coordinates
6. Direction cosines and ratios 7.Planes
Calculus:
8. Functions, Limits and Continuity
9. Derivatives, first order and second order derivatives
10. Applications of derivatives
11. Partial differentiation
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Mathematics Ia(Algebra, Vector Algebra & Trigonometry)

Paper I A -Algebra
Algebra:
1. Functions of Mappings
2. Mathematical Induction
Vector Algebra:
3. Addition of Vectors
4. Multiplication of Vectors
Trigonometry:
5. Graphs & Periodic Functions )(Trigonometric ratios of Compound angles )(Multiple & Sub-multiple
angles )(Transformations)
6. Trigonometric Equations
7. Inverse Trigonometric functions
8. Hyperbolic functions
9. Properties of triangles
10. Heights and distances in single plane
11. Complex Numbers
12. De-mores Theorem
13. Trigonometric expansions

Intermediate First YearPhysics

I. Units And Dimensions:
Necessity of Measurements for quantitative Study - Choosing Units.Fundamental Units in the S.I. System and their definitions. Supplementary andderived Units - Multiples and sub-multiples and rules for writing units inS.I.System.Dimension of physical quantities - Applications of dimensional Analysis withexamples - Limitations of dimensional analysis.
II. Elements Of Vectors
II. Classification of physical quantities as vectors and scalars Geometricalrepresentation of vectors - Addition & Subtraction of VectorsLaws of addition of Vectors - Equal and Null VectorsUnit Vectors - Unit Vectors in Cartesian co-ordinate system - Position vector andits magnitudeParallelogram law of vectors - Derivation of expression for the resultant vector.Triangle law and polygon law of vectors - Concept of relative velocity -Application to relative motion of a boat in a river.Multiplication of a vector with a scalar - Scalar product with examples of workand energy - Vector product with Examples of torque and angular momentum -Vector and Scalar product and Unit Vectors
III. Kinematics
Concept of acceleration due to Gravity - Equations of motion of freely fallingbody - vertically projected body from ground and tower - Projectiles withExamples - Oblique projection from ground and horizontal projection from thetop of tower - Path of projectile. Maximum height, time of flight and range.
IV. Dynamics
Concept of resultant force - Apparent weight in lift - Impulse - Law ofconservation of linear momentum (statement only) - Work - Power - Energy -Definition and Units - Derivation of expression for P.E & K.E - Work - Energytheorem - Law of conservation of energy - Examples - Vertically projected andfreely falling bodies.
V. Collisions
Collision of two bodies in one dimension - Elastic and in-elastic collisions - Onebody at rest, two bodies moving in the same and opposite directions - Coefficientof restitution.
VI. Centre Of Mass
Definition with examples - Difference between Centre Mass and Centre ofGravity - Co-ordinates of Centre of Mass - Velocity, acceleration - Characteristicsof centre of mass - Examples in the case of two dimensional motion - Laws ofmotion of velocity, acceleration - Characteristics of Centre of Mass - Explosion.
VII. Friction
Causes of Friction - Static, Kinetic and rolling frictions - Angle of friction - Lawsof friction - Lubricants - Pushing and pulling of lawn Roller - Derivation ofexpression for acceleration of a body on a smooth and rough inclined planes.
VIII. Rotary Motion
Concepts of torque and couple - Relation between angular momentum andtorque - Moment of inertia - Parallel and perpendicular axes theorems -Derivation of Expressions for M.I. of a thin rod, uniform disc, and rectangularlamina. Expressions for M.I. of sphere, circular ring and cylinder (statement ofexpressions only) - Law of Conservation of angular momentum with examples -Motion in vertical circle.
IX. Gravitation
Basic forces in nature - Nature of Gravitation - Propagation speed ofGravitational fields - Limitations of Newton's third law - Force at a distance -Black holes.Idea of inertial and non-inertial frames - Inertial and Gravitational masses -Principle of equivalence - Escape velocity and orbital velocity with derivation andrelation between them - Geo stationary satellites and their uses.
X. Simple Harmonic Motion
Definitions and examples - Derivation of expressions for displacement, velocity,acceleration period and frequency - Derivation of expressions for the period of asimple pendulum and loaded spring - force constant.Derivation of expression for the K.E & P.E of a body in S.H.M. - Example of lawof conservation of energy in the case of simple pendulum.
XI. Elasticity
Elasticity & Plasticity - Stress - Strain, Hooke's law, moduli of elasticity (Y,n,K) -Poission's ratio - Behaviour of wire under gradually increasing load - Elasticfatigue, Strain Energy - Experimental determination of Y-Searle's apparatus.
XII. Surface Tension
Surface Tension Definition and Examples - Molecular Phenomenon - Angle ofcontact - Capillarity with Examples in nature - Experimental Determination ofS.T. by capillary rise method with necessary theory - Variation of S.T withtemperature - Expression for excess pressure inside a drop and a bubble.
XIII. Viscosity
Explantion - Statement of Poisuille's expression - Variation of coefficient ofviscosity with temperature - Streamline flow - Stokes formula - terminal velocity- Principle of buoyancy - Pressure in a fluid - Bernoulli's theorem (Derivationincluded) - application to aerodynamic lift and motion of spinning ball.
XIV. Thermal Expansion Of Materials
Vibrations of atoms in a solid - Potential Energy Curve - anharmonicity ofvibrations - Explanation of thermal expansions - Difference in a values (ofsolids) of different materials.The coefficients of real and apparent expansion of liquids and the derivation ofthe relationship between them - Variation of density with temperature.Determination of coefficient of apparent expansion of liquid by specific gravitybottle method.Volume and pressure coefficients of gases - Derivation of their relationship -Experimental determination of the two co-efficients by Regnault's and Jolley'sbulb apparatus - Absolute Zero - Kelvin Scale of Temperature - Boyle's law andCharle's law - Derivation of ideal gas equation - significance of universal gasconstant.
XV. Thermo Dynamics:
IV. Definition of calorie, thermal capacity, specific heat and latent heat -Experimental determination of specific heat and latent heat - Law of mixtures -Joule's law and mechanical equivalent of heat (J). Three phases of matter &triple point of water.Definitions of specific heats of gasses (Cp & Cv) - Isothermal and adiabaticprocessess - Derivations of relationships between P,V & T - External work doneby an ideal gas during expansion - Internal energy - Statements andexplanation of Zeroeth, first and second laws of Thermodynamics - Derivationof Cp-Cv=R (without using Maxwell's Equations).
XVI. Transmission Of Heat
Conduction of Heat - Coefficient of thermal conductivity - Convection of Heat -Nature and properties of Thermal Radiation - Prevost's Theory of heatexchanges - Emissive and absorptive power of bodies - Black body radiation -Kirchoff's law and its application - Stefan's law - Newton's law of cooling.