Diploma in Pharmacy (D.Pharm) Entrance

• UNIT 1: PHYSICAL WORLD AND MEASUREMENT

  5 टॉपिक

  • Need for measurement: Units of measurement
  • systems of units
  • SI units, fundamental and derived units
  • Significant figures
  • Dimensions of physical quantities, dimensional analysis and its applications

• UNIT 2: KINEMATICS

  14 टॉपिक

  • Motion in a Straight Line
  • Frame of reference
  • Elementary concepts of differentiation and integration for describing motion
  • uniform and non-uniform motion, and instantaneous velocity
  • uniformly accelerated motion
  • velocity - time and position-time graphs
  • Relations for uniformly accelerated motion (graphical treatment)
  • Motion in a Plane
  • Scalar and vector quantities
  • position and displacement vectors, general vectors and their notations
  • equality of vectors, multiplication of vectors by a real number
  • addition and subtraction of vectors, Unit vector
  • resolution of a vector in a plane, rectangular components, Scalar and Vector product of vectors
  • Motion in a plane, cases of uniform velocity and uniform acceleration projectile motion, uniform circular motion

• UNIT 3: LAWS OF MOTION

  7 टॉपिक

  • Laws of Motion Intuitive concept of force, Inertia, Newton's first law of motion
  • momentum and Newton's second law of motion
  • impulse
  • Newton's third law of motion
  • Law of conservation of linear momentum and its applications
  • Equilibrium of concurrent forces, Static and kinetic friction, laws of friction, rolling friction, lubrication
  • Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on a banked road)

• UNIT 4: WORK, ENERGY AND POWER

  5 टॉपिक

  • Work, Energy and Power
  • Work done by a constant force and a variable force
  • kinetic energy, work energy theorem, power
  • Notion of potential energy, potential energy of a spring, conservative forces: non-conservative forces, motion in a vertical circle
  • elastic and inelastic collisions in one and two dimensions

• UNIT 5: MOTION OF SYSTEM OF PARTICLES AND RIGID BODY

  7 टॉपिक

  • System of Particles and Rotational Motion
  • Centre of mass of a two-particle system, momentum conservation and Centre of mass motion
  • Centre of mass of a rigid body
  • centre of mass of a uniform rod
  • Moment of a force, torque, angular momentum, law of conservation of angular momentum and its applications
  • Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions
  • Moment of inertia, radius of gyration, values of moments of inertia for simple geometrical objects (no derivation)

• UNIT 6: GRAVITATION

  3 टॉपिक

  • Kepler's laws of planetary motion, universal law of gravitation
  • Acceleration due to gravity and its variation with altitude and depth
  • Gravitational potential energy and gravitational potential, escape speed, orbital velocity of a satellite

• UNIT 7: PROPERTIES OF BULK MATTER

  15 टॉपिक

  • Mechanical Properties of Solids
  • Elasticity, Stress-strain relationship, Hooke's law, Young’s modulus, bulk modulus, shear modulus of rigidity (qualitative idea only), Poisson's ratio
  • elastic energy
  • Mechanical Properties of Fluids
  • Pressure due to a fluid column
  • Pascal's law and its applications (hydraulic lift and hydraulic brakes), effect of gravity on fluid pressure
  • Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity, Bernoulli's theorem and its simple applications
  • Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise
  • Thermal Properties of Matter
  • Heat, temperature, thermal expansion
  • thermal expansion of solids, liquids and gases, anomalous expansion of water
  • specific heat capacity
  • Cp, Cv - calorimetry
  • change of state - latent heat capacity
  • Heat transfer-conduction, convection and radiation, thermal conductivity, qualitative ideas of Blackbody radiation, Wein's displacement Law, Stefan's law

• UNIT 8: THERMODYNAMICS

  2 टॉपिक

  • Thermal equilibrium and definition of temperature, zeroth law of thermodynamics, heat, work and internal energy
  • First law of thermodynamics, Second law of thermodynamics: gaseous state of matter, change of condition of gaseous state -isothermal, adiabatic, reversible, irreversible, and cyclic processes

• UNIT 9: BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY

  7 टॉपिक

  • Kinetic Theory
  • Equation of state of a perfect gas, work done in compressing a gas
  • Kinetic theory of gases - assumptions, concept of pressure, Expression for pressure exerted by a gas
  • Kinetic interpretation of temperature
  • rms speed of gas molecules
  • degrees of freedom, law of equipartition of energy (statement only) and application to specific heat capacities of gases
  • concept of mean free path, Avogadro's number

• UNIT 10: OSCILLATIONS AND WAVES

  16 टॉपिक

  • Oscillations
  • Periodic motion - time period, frequency, displacement as a function of time, periodic functions and their applications
  • Simple harmonic motion (S.H.M) and its equations of motion
  • phase
  • oscillations of a loaded spring- restoring force and force constant
  • energy in S.H.M. Kinetic and potential energies
  • simple pendulum derivation of expression for its time period
  • Waves
  • Wave motion: Transverse and longitudinal waves
  • speed of travelling wave
  • displacement relation for a progressive wave
  • principle of superposition of waves
  • reflection of waves
  • standing waves in strings and organ pipes
  • fundamental mode and harmonics
  • Beats

• UNIT 11: ELECTROSTATICS

  16 टॉपिक

  • Electric Charges and Fields
  • Electric charges, Conservation of charge, Coulomb's law-force between two- point charges, forces between multiple charges
  • superposition principle and continuous charge distribution
  • Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in uniform electric field
  • Electric flux
  • statement of Gauss's theorem and its applications to find field due to infinitely long straight wire
  • uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside)
  • Electrostatic Potential and Capacitance
  • Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges
  • equipotential surfaces, electrical potential energy of a system of two-point charges and of electric dipole in an electrostatic field
  • Conductors and insulators, free charges and bound charges inside a conductor
  • Dielectrics and electric polarization
  • capacitors and capacitance
  • combination of capacitors in series and in parallel
  • capacitance of a parallel plate capacitor with and without dielectric medium between the plates
  • energy stored in a capacitor (no derivation, formulae only)

• UNIT 12: CURRENT ELECTRICITY

  9 टॉपिक

  • Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current
  • Ohm's law, V-I characteristics (linear and non-linear)
  • electrical energy and power
  • electrical resistivity and conductivity
  • temperature dependence of resistance
  • Internal resistance of a cell
  • potential difference and emf of a cell
  • Kirchhoff's rules
  • Wheatstone bridge

• UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

  15 टॉपिक

  • Moving Charges and Magnetism
  • Concept of magnetic field, Oersted's experiment
  • Biot - Savart law and its application to current carrying circular loop
  • Ampere's law and its applications to infinitely long straight wire
  • Straight solenoid (only qualitative treatment), force on a moving charge in uniform magnetic and electric fields
  • Force on a current-carrying conductor in a uniform magnetic field
  • force between two parallel current-carrying conductors-definition of ampere
  • torque experienced by a current loop in uniform magnetic field
  • Current loop as a magnetic dipole and its magnetic dipole moment, moving coil galvanometer- its current sensitivity and conversion to ammeter and voltmeter
  • Magnetism and Matter
  • Bar magnet, bar magnet as an equivalent solenoid (qualitative treatment only)
  • magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis (qualitative treatment only)
  • torque on a magnetic dipole (bar magnet) in a uniform magnetic field (qualitative treatment only)
  • magnetic field lines
  • Magnetic properties of materials- Para-, dia- and ferro - magnetic substances with examples, Magnetization of materials, effect of temperature on magnetic properties

• UNIT 14: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

  8 टॉपिक

  • Electromagnetic Induction
  • Faraday's laws, induced EMF and current
  • Lenz's Law, Self and mutual induction
  • Alternating Current
  • Alternating currents, peak and RMS value of alternating current/voltage
  • reactance and impedance
  • LCR series circuit (phasors only), resonance, power in AC circuits, power factor, wattles current
  • AC generator, Transformer

• UNIT 15: ELECTROMAGNETIC WAVES

  2 टॉपिक

  • Basic idea of displacement current, Electromagnetic waves, their characteristics, their transverse nature (qualitative idea only)
  • Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses

• UNIT 16: OPTICS

  23 टॉपिक

  • Ray Optics and Optical Instruments
  • Ray Optics: Reflection of light
  • spherical mirrors
  • mirror formula
  • refraction of light
  • total internal reflection and optical fibers
  • refraction at spherical surfaces
  • lenses
  • thin lens formula
  • lens maker’s formula
  • magnification
  • power of a lens
  • combination of thin lenses in contact
  • refraction of light through a prism
  • Optical instruments: Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers
  • Wave Optics
  • Wave optics: Wave front and Huygen’s principle, reflection and refraction of plane wave at a plane surface using wave fronts
  • Proof of laws of reflection and refraction using Huygen’s principle
  • Interference
  • Young's double slit experiment and expression for fringe width (No derivation final expression only)
  • coherent sources and sustained interference of light
  • diffraction due to a single slit
  • width of central maxima (qualitative treatment only)

• UNIT 17: DUAL NATURE OF MATTER AND RADIATION

  3 टॉपिक

  • Dual nature of radiation, Photoelectric effect, Hertz and Lenard's observations
  • Einstein's photoelectric equation-particle nature of light
  • Experimental study of photoelectric effect Matter waves-wave nature of particles, de-Broglie relation

• UNIT 18: ATOMS AND NUCLEI

  8 टॉपिक

  • Atoms
  • Alpha-particle scattering experiment
  • Rutherford's model of atom
  • Bohr model of hydrogen atom, Expression for radius of nth possible orbit, velocity and energy of electron in nth orbit, hydrogen line spectra (qualitative treatment only)
  • Nuclei
  • Composition and size of nucleus, nuclear force Mass-energy relation, mass defect
  • binding energy per nucleon and its variation with mass number
  • nuclear fission, nuclear fusion

• UNIT 19: ELECTRONIC DEVICES

  5 टॉपिक

  • Semiconductor Electronics
  • Materials, Devices and Simple Circuits Energy bands in conductors
  • semiconductors and insulators (qualitative ideas only) Intrinsic and extrinsic semiconductors- p and n type
  • p-n junction Semiconductor diode - I-V characteristics in forward and reverse bias
  • application of junction diode - diode as a rectifier

इस विषय के सभी 170 टॉपिक दिखाए गए हैं।कम टॉपिक दिखाएँ

• UNIT 1: SOME BASIC CONCEPTS OF CHEMISTRY & ATOMIC STRUCTURE

  10 में से 7 टॉपिक

  • Laws of Chemical combination (numerical), Dalton's Atomic Theory, Concept of elements, atoms & molecules
  • Atomic and molecular masses, Mole concept and molar mass, percentage composition, empirical and molecular formula
  • chemical reactions, stoichiometry and calculation based on stoichiometry
  • Structure of Atom: Discovery of electron, proton and neutron, atomic number, isotopes and isobars
  • Thompson's model and its limitations, Rutherford's model and its limitations
  • Bohr's model & its limitations, concept of shells and sub-shells
  • Dual nature of matter and light, de-Broglie's relationship

• UNIT 2: CHEMICAL EQUILIBRIUM

  10 में से 7 टॉपिक

  • Equilibrium in physical and chemical processes
  • dynamic nature of equilibrium
  • law of mass action
  • equilibrium constant
  • factors affecting equilibrium: Le-Chatelier's principle equilibrium-ionization of acids and bases
  • strong and weak electrolytes
  • degree of ionization

• UNIT 3: CHEMICAL KINETICS

  9 में से 7 टॉपिक

  • Rate of reaction (average and instantaneous rate of a reaction)
  • factors affecting rate of reactions: (concentration, temperature, catalyst)
  • rate law
  • specific rate constant and order
  • molecularity of a reaction
  • integrated rate expression of zero and first order reactions and their derivations
  • half-life period

• UNIT 4: SOLUTIONS

  10 में से 7 टॉपिक

  • Types of solutions
  • expression of concentration of solutions of solids in liquids
  • solubility of gases in liquids
  • solid solutions
  • colligative properties: relative lowering of vapor pressure of a solution
  • Raoult's law
  • elevation of boiling point

• UNIT 5: CHEMICAL THERMODYNAMICS

  13 में से 7 टॉपिक

  • Concepts of system, types of systems, surrounding, work, heat
  • energy intensive and extensive properties, state functions
  • First Law of Thermodynamics
  • internal energy
  • enthalpy
  • heat capacity
  • specific heat

• UNIT 6: REDOX REACTIONS AND ELECTROCHEMISTRY

  12 में से 7 टॉपिक

  • Concept of oxidation and reduction
  • redox reactions
  • oxidation number
  • balancing of chemical equations in redox reactions
  • applications of redox reactions
  • conductance in electrolytic solutions
  • specific conductivity

• UNIT 7: PERIODIC PROPERTIES

  9 में से 7 टॉपिक

  • Significance of classification, brief history of the development of periodic table
  • Modern periodic law and the present form of the periodic table
  • periodic trends in properties of elements: atomic radii
  • ionic radii
  • inert gas radii
  • ionization enthalpy
  • electron gain enthalpy

• UNIT 8: CHEMICAL BONDING AND MOLECULAR STRUCTURE

  13 में से 7 टॉपिक

  • Valence electrons
  • lonic bond
  • covalent bond
  • bond parameters
  • Lewis structure
  • polar character of covalent bond
  • valence bond theory

• UNIT 9: CO-ORDINATION CHEMISTRY

  2 टॉपिक

  • Co-ordination compounds: Introduction, ligands, co-ordination number, color, magnetic properties and shapes, IUPAC nomenclature of mononuclear co-ordination compounds
  • Bonding (Werner's theory, VBT and CFT), structural and stereoisomerisms, importance of coordination compounds in qualitative inclusion of analysis, extraction of metals and biological systems

• UNIT 10: ORGANIC CHEMISTRY-SOME BASIC PRINCIPLES AND TECHNIQUES

  4 टॉपिक

  • General introduction to organic chemistry, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds
  • Electronic displacement in a covalent bond: inductive effect, electromeric effect, resonance and hyper-conjugation
  • Homolytic and heterolytic fission of a covalent bond, free radicals, electrophiles, nucleophiles, carbocations and carbanions
  • Types of organic reactions

• UNIT 11: d and f-BLOCK ELEMENTS

  6 टॉपिक

  • General introduction
  • electronic configuration
  • occurrence and characteristics of the transition meals
  • general trends in properties of first row transition metals (metallic character, IE, electrode potential, oxidation state, ionic radii, catalytic properties, colored ions, complex formation, magnetic properties, interstitial compounds, alloy formation)
  • Preparation and properties of K2Cr2O7 and KMnO4 Lanthanides: electronic configuration, oxidation state, chemical reactivity and lanthanide contraction and its consequences
  • Actinides- electronic configuration, oxidation states and comparison with lanthanoids

• UNIT 12: HYDROCARBONS

  28 में से 7 टॉपिक

  • Classification of hydrocarbons
  • Alkanes: Nomenclature, isomerism, conformations (ethane only), physical properties
  • Chemical reactions including free radical mechanism of halogenation, combustion and Pyrolysis
  • Alkenes: Nomenclature
  • structure of double bond (ethene)
  • geometrical isomerism
  • methods of preparation

• UNIT 13: HALOALKANES AND HALOARENES

  10 में से 7 टॉपिक

  • Haloalkanes: Nomenclature, nature of C-X bond, physical & chemical properties, mechanism of substitution reactions
  • Stability of carbocations, R-S and d-1 configurations
  • Haloarenes: Nature of C-X bond
  • substitution reactions (directive influence of halogens for mono substituted compounds only)
  • Stability of carbocations
  • R-S and D-L configurations Uses and environmental effects of-dichloromethane
  • trichloromethane

• UNIT 14: ALCOHOLS, PHENOLS AND ETHERS

  5 टॉपिक

  • Alcohols: Nomenclature, methods of preparation, physical & chemical properties (of primary alcohols only), identification of primary, secondary & tertiary alcohols
  • mechanism of dehydration of alcohols
  • Uses, some important compounds - methanol and ethanol
  • Phenols: Nomenclature, methods of preparation, physical & chemical properties, acidic nature of phenol, electrophillic substitution reactions, uses of phenols
  • Ethers: Nomenclature, methods of preparation, physical & chemical properties and uses

• UNIT 15: ALDEHYDES, KETONES AND CARBOXYLIC ACIDS

  7 टॉपिक

  • Aldehydes and Ketones: Nomenclature
  • nature of carbonyl group
  • methods of preparation
  • physical & chemical properties & mechanism of nucleophilic addition reaction to C=O group
  • reactivity of alpha hydrogen in aldehydes
  • uses
  • Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical & chemical properties and uses

• UNIT 16: ORGANIC COMPOUNDS CONTAINING NITROGEN

  3 टॉपिक

  • Amines: Nomenclature, classification, structure, methods of preparation, physical & chemical properties, uses, identification of primary, secondary & tertiary amines
  • Cyanides and Isocyanides: Structures of cyanide and isocyanide groups, nomenclature, preparation, physical properties and chemical reactions
  • Diazonium Salts: Preparation and chemical reactions (mechanism of diazotization), and importance aesthetic organic chemistry

• UNIT 17: MOLECULES OF LIFE

  10 में से 7 टॉपिक

  • Carbohydrates: Classification (aldoses and ketoses)
  • mono saccharides: Glucose
  • fructose: structure
  • preparation and chemical reactions
  • oligosaccharidees (sucrose, lactose & maltose) Polysaccharides: (starch cellulose and glycogen)
  • importance
  • Proteins: Elementary idea of amino acids: peptide bond, polypeptides and primary, secondary, etary and qualemary structure of proteins (Qualitative idea only), denaturation of proteins

इस विषय के 161 टॉपिक में से 104 दिखाए गए हैं।सभी 161 टॉपिक देखें →

• Unit I: Diversity of Life

  11 में से 7 टॉपिक

  • Biodiversity
  • Variety of living organisms
  • Need and History of classification – Artificial, Natural and Phylogenetic classifications
  • Biosystematics: Taxonomy and Systematics
  • Concept of species and Taxonomical hierarchy
  • Binomial nomenclature
  • Herbarium

• Unit II: Kingdom Plantae

  5 टॉपिक

  • Classification of plants into major groups
  • General characters of Algae, Bryophyta, Pteridophyta and Gymnosperms and their classes
  • Morphology of Flowering plants and their function: Morphology of root, stem and leaf (without their modifications)
  • Morphology of Inflorescence, flower, fruit and seed
  • Description of family Solanaceae

• Unit III: Plant Anatomy

  2 टॉपिक

  • Tissue systems in plants – Epidermal, ground and vascular tissue systems
  • Anatomy and functions of dicot and monocot root, stem and leaves

• Unit IV: Plant Physiology

  21 में से 7 टॉपिक

  • Respiration: Cellular respiration
  • Glycolysis, Kreb’s cycle and Electron transport system (along with ATP energetics)
  • Chemiosmotic hypothesis
  • Aerobic and Anaerobic respirations
  • Amphibolic pathways
  • Respiratory quotient
  • Photosynthesis: Historical background

• UNIT V: Diversity in Living World

  4 टॉपिक

  • Animal Kingdom
  • General characters and classification of animals (non-chordates up to phyla level and chordates up to the level of class)
  • National Parks with special reference to Dachigam, Kishtwar, Salim Ali, Kazinag and Hemis
  • Concept of Sanctuaries and Biosphere reserves

• Unit VI: Structural Organisation and Animal Biomolecules

  5 टॉपिक

  • Morphology, Anatomy and functions of digestive, circulatory, respiratory, nervous and reproductive systems of Frog
  • Basic chemical constituents of living bodies
  • Bio-molecules: Structure and function of Carbohydrates, proteins, lipids and Nucleic acids
  • Primary and secondary metabolites
  • Enzymes: Types, Properties and functions

• Unit VII: Cell Structure and Function

  6 टॉपिक

  • Cell: Brief description of cell
  • Cell theory
  • Prokaryotic and Eukaryotic cell, Cell wall, Membrane and Cell organelles (Plastids, Mitochondria, E.R., Golgi, Ribosomes, Lysosomes, Nucleus, Vacuoles, centrioles and Cytoskeleton)
  • Cilia and Flagella
  • Nuclear organisation
  • Cell Division: Cell Cycle, Mitosis and Meiosis

• Unit VIII: Human Physiology

  31 में से 7 टॉपिक

  • Breathing and Respiration: Respiratory system in humans
  • mechanism of breathing and its regulation in humans
  • respiratory volume
  • Exchange of gases and their transport
  • Respiratory disorders
  • Body fluids and Circulation: Composition of blood
  • Blood groups and Rh factor

• Unit IX: Reproduction in Flowering Plants

  10 में से 6 टॉपिक

  • Sexual Reproduction: Flower structure
  • Development of male and female gametophytes
  • Pollination - types, agencies and examples
  • Out breeding devices
  • Pollen-Pistil interactions
  • Double fertilization

• Unit X: Genetics

  15 में से 6 टॉपिक

  • Heredity and variation Mendelian inheritance
  • deviations from Mendelism: Incomplete Dominance
  • Co-dominance
  • Multiple alleles and inheritance of blood groups
  • Pleiotropy
  • Elementary idea of polygenic inheritance

• Unit XI: Biology and Human Welfare

  6 टॉपिक

  • Tissue Culture: Cellular totipotency, technique and application of tissue culture
  • Microbes in Human welfare: Microbes in food processing, industrial production, sewage treatment, energy generation (Biogas) and microbes as bio-control agents, Biopesticides and Bio-fertilizers
  • Antibiotics
  • production and judicious use
  • Application of Biotechnology in Agriculture: Genetically Modified organisms - BT crops
  • Biopiracy and patents

• Unit XII: Ecology and Environment

  12 में से 6 टॉपिक

  • Populations: Population attributes and Population growth
  • Population interactions -mutualism, competition, predation, parasitism
  • population attributes - growth, birth rate and death rate, age distribution
  • Ecosystems: Patterns, components
  • productivity and decomposition
  • energy flow

• Unit XIII: Reproduction in Animals

  10 में से 6 टॉपिक

  • Human Reproduction: Male and Female reproductive systems
  • Microscopic anatomy of testis and ovary
  • Gametogenesis (spermatogenesis and oogenesis; menstrual cycle)
  • Fertilisation, embryo development upto blastocyst formation, implantation
  • Pregnancy and placenta formation
  • Elementary idea of Parturition and Lactation

• Unit XIV: Genetics and Evolution

  14 में से 6 टॉपिक

  • Sex determination – in humans, birds and honey bee
  • Linkage and Crossing over
  • Sex linked inheritance: Haemophilia and colour blindness
  • Mendelian disorders in humans – Thalassemia
  • Chromosomal disorders in humans: Down's syndrome, Turner's syndrome and Klinefelter's syndrome Genome and Human genome project
  • DNA fingerprinting

• UNIT XV: Biology in Human Welfare

  5 टॉपिक

  • Health and Disease: Basic concepts of immunology - vaccines
  • Pathogens
  • parasites causing human diseases (Hepatitis, Malaria, Dengue, Filariasis, Ascariasis, Typhoid, Pneumonia, Common cold, Amoebiasis, Ring worm) and their control
  • Cancer, HIV and AIDS
  • Adolescence: drug and alcohol abuse

• UNIT XVI: Biotechnology and its Applications

  5 टॉपिक

  • Biotechnology: Principles and processes
  • Genetic Engineering (Recombinant DNA Technology)
  • Application of biotechnology in health: Human insulin and vaccine production stem cell technology, gene therapy
  • Transgenic Animals
  • Bio-safety issues

इस विषय के 162 टॉपिक में से 89 दिखाए गए हैं।सभी 162 टॉपिक देखें →

• UNIT 1: SETS, RELATIONS AND FUNCTIONS

  9 में से 6 टॉपिक

  • Sets and their representation, finite and infinite sets, empty set subsets, subset of real numbers especially intervals, universal set
  • Venn diagram, union and intersection of sets
  • Difference of sets, Compliment of a set
  • Ordered pairs, Cartesian product of sets, number of elements in the Cartesian product of two finite sets
  • Relations, Domain, co- domain and range of relation, types of relation, reflexive, symmetric, transitive and equivalence relation
  • Functions as special kind of relations from one set to another, domain, co-domain and range of a function

• UNIT 2: COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING

  12 में से 6 टॉपिक

  • Complex number: Argand’s plane, algebraic properties of complex numbers
  • Solution of Quadratic equation in the complex number system
  • Square root of a complex number
  • Linear inequation: Linear Inequalities, Algebraic solution of linear inequalities in one variable and their representations on number line
  • Linear programming: Introduction
  • definition of related terminology such as constraints

• UNIT 3: SEQUENCE AND SERIES, PERMUTATION AND COMBINATION & BINOMIAL THEOREM

  9 में से 6 टॉपिक

  • Sequence and series: Arithmetic mean (A.M)
  • nth term
  • Geometric progression (G.P)
  • Geometric Mean (G.M)
  • sum to n-terms and sum to infinity of a G.P. Relation between A.M and G.M. Permutation and combination: Fundamental principle of counting
  • factorial n, permutations P(n,r) and combinations C(n,r)

• UNIT 4: TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS

  6 टॉपिक

  • Positive and negative angles, measuring angles in radians and in degrees, Conversion from one measure to another
  • Definition of trigonometric functions with the help of unit circle
  • Basic Trigonometric identities sin2x+cos2x=1 for all Sign of x etc
  • Trigonometric functions and their graphs
  • sum and product formulae
  • Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, and tan3x

• UNIT 5: MATRICES AND DETERMINANTS

  7 में से 6 टॉपिक

  • Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of matrix, Symmetric and skew symmetric matrices
  • Addition, multiplication, scaler multiplication of matrices, simple properties of addition, multiplication and scaler multiplication of matrices
  • Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (order 2x2)
  • Concept of elementary row and column operation, Invertible matrices and uniqueness of inverse, if it exists.(Matrices with real entries)
  • Determinants of square matrix (upto 3x3 matrices) properties of determinants, minors, cofactors and applications of determinants in finding area of a triangle
  • Adjoint and inverse of a square matrix

• UNIT 6: LIMIT, CONTINUITY AND DIFFERENTIATION

  15 में से 6 टॉपिक

  • Concept of limit of a function
  • Theorems on Limits, Evaluation of limits using standard results
  • Continuity of a function at a point
  • Continuity of Sum, product and quotient of functions
  • Derivative: definition of a derivative of a function, geometrical interpretation of the derivative
  • Derivative of sum, difference, product and quotient of two or more functions

• UNIT 7: INTEGRATION AND DIFFERENTIAL EQUATIONS

  12 में से 6 टॉपिक

  • Integration as inverse process of differentiation
  • Integration of variety of functions by Substitution, by parts, by partial fractions
  • Simple integrals of the type
  • Definite integrals as a Limit of a sum
  • Fundamental Theorem of calculus
  • Basic properties of definite integrals Evaluation of definite integrals

• UNIT 8: STRAIGHT LINES AND CONIC SECTIONS

  4 टॉपिक

  • Distance between two points, section, slope of a line, angle between two lines, various forms of equations of lines, point-slope form, intercept form, two point form
  • Distance of a point from a line
  • Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of conic section
  • Standard equation of a circle, parabola, ellipse, and hyperbola and their simple properties

• UNIT 9: STATISTICS AND PROBABILITY

  5 टॉपिक

  • STATISTICS Measure of dispersion, Range, mean, deviation, variance and standard deviation of ungrouped/ grouped data
  • PROBABILITY :Random Experiment: outcome, sample spaces
  • Events: Mutually exclusive and exhaustive events
  • Axiomatic (set theoretic) probability, probability of an event, probability of “Not” and “Or” events
  • Multiplication theorem on probability, conditional probability, independent events, total probability, Baye’s theorem, random variable and its probability, distribution, mean of a random variable

• UNIT 10: VECTORS AND THREE DIMENSIONAL GEOMETRY

  8 में से 6 टॉपिक

  • Vectors and scalars, magnitude and direction of a vector Direction Cosines and ratios of a vector
  • Types of vector, equal, zero, unit, parallel and collinear vectors
  • Position vector of a point , negative of a vector, components of a vector, addition of vectors, Scalar multiplication, position vector of a point dividing a line segment in a given ratio
  • Scalar (dot) product of vectors, Vector (cross) product of vectors
  • STRAIGHT LINES AND SPACE Coordinate Axis and Coordinate Planes in three dimension, coordinate of point, distance between two points
  • Direction cosines and direction ratios of a line joining two points

इस विषय के 87 टॉपिक में से 57 दिखाए गए हैं।सभी 87 टॉपिक देखें →