BSAUEE

• Applications of Matrices and Determinants

  12 of 13 topics

  • Inverse of a Non-Singular Square Matrix
  • Adjoint of a square Matrix
  • Definition of inverse matrix of a square Matrix
  • Properties of inverses of matrices
  • Application of matrices to Geometry
  • Elementary Transformations of a Matrix
  • Elementary row and column operations
  • Row-Echelon form
  • Rank of a Matrix
  • Applications of Matrices: Solving System of Linear Equations
  • Formation of a System of Linear Equations
  • System of Linear Equations in Matrix Form

• Complex Numbers

  12 of 13 topics

  • Powers of imaginary unit
  • Complex Numbers
  • Rectangular form
  • Argand plane
  • Algebraic operations on complex number
  • Basic Algebraic Properties of Complex Numbers
  • Properties of complex numbers
  • Conjugate of a Complex Number Geometrical representation of conjugate of a complex number
  • Properties of Complex Conjugates
  • Modulus of a Complex Number
  • Properties of Modulus of a complex number
  • square roots of a complex number

• Theory of Equations

  12 of 21 topics

  • Basics of Polynomial Equations
  • Different types of Polynomial Equations
  • Quadratic Equations
  • Vieta's Formulae and Formation of Polynomial Equations
  • Vieta's formula for Quadratic Equations
  • Vieta's formula for Polynomial Equations
  • Nature of Roots and Nature of Coefficients of Polynomial Equations
  • Imaginary Roots
  • Irrational Roots
  • Rational Roots
  • Roots of Higher Degree Polynomial Equations
  • Polynomials with Additional Information

• Inverse Trigonometric Functions

  12 of 21 topics

  • Domain and Range of trigonometric Functions
  • Graphs of functions
  • Amplitude and Period of a graph
  • Inverse functions
  • Graphs of inverse functions
  • Sine Function and Inverse Sine Function
  • Properties of the sine function
  • The inverse sine function and its Properties
  • The Cosine Function and Inverse Cosine Function
  • Properties of the cosine function
  • The inverse cosine function and its Properties
  • The Tangent Function and the Inverse Tangent Function

• Two-Dimensional Analytical Geometry

  11 of 17 topics

  • Circle
  • Equation of a circle in standard form
  • Equations of tangent and normal at a point P on a given circle
  • Conics
  • the general equation of a Conic
  • Parabola
  • Ellipse
  • Hyperbola
  • Conic Sections
  • Geometric description of conic section
  • Degenerate Forms

• Applications of Vector Algebra

  8 topics

  • Scalar Product and Vector Product
  • Geometrical interpretation
  • Scalar triple product
  • Properties of the scalar triple product
  • Vector triple product
  • Jacobi's Identity and Lagrange's Identity
  • Application of Vectors to 3D Geometry
  • Different forms of Equation of a plane

• Applications of Differential Calculus

  8 topics

  • Derivative
  • Indeterminate Forms Applications of First Derivative
  • Monotonicity of functions
  • absolute maxima and minima
  • Relative Extrema on an Interval
  • Extrema using First Derivative Test
  • Concavity, Convexity, and Points of Inflection
  • Extrema using Second Derivative Test

• Applications of integration

  7 topics

  • Improper Integrals
  • Reduction Formulae
  • Gamma Integral
  • Evaluation of Bounded Plane Area by Integration
  • Area of the region bounded by a curve, x-axis and the lines x = a and x = b
  • Area of the region bounded by a curve, y-axis and the lines y = c and y = d
  • Area of the region bounded between two curves

• Ordinary Differential Equations

  9 topics

  • Differential Equation, Order, and Degree
  • Formation of Differential Equations
  • Formation of Differential equations from Physical Situations
  • Solution of Ordinary Differential Equations
  • Solution of First Order and First-Degree Differential Equations
  • Variables Separable Method
  • Homogeneous Form or Homogeneous Differential Equation
  • First Order Linear Differential Equations
  • Applications of First Order Ordinary Differential Equations

• Probability Distributions

  11 of 13 topics

  • Random Variable
  • Types of Random Variable
  • Discrete random variables
  • Probability Mass Function
  • Cumulative Distribution Function or Distribution Function
  • Cumulative Distribution Function from Probability Mass function
  • Probability Mass Function from Cumulative Distribution Function
  • Continuous Distributions
  • The definition of continuous random variable
  • Probability density function
  • Distribution function

• Discrete Mathematics

  11 of 12 topics

  • Binary Operations
  • Definitions
  • Some more properties of a binary Operation
  • Some binary operations on Boolean Matrices
  • Modular Arithmetic
  • Mathematical Logic
  • Statement and its truth value
  • Compound Statements
  • Logical Connectives and Truth Tables
  • Tautology, Contradiction, and Contingency
  • Duality

Showing 113 of 142 topics in this subject.Show all 142 topics →

• Electrostatics

  10 topics

  • Coulomb's law
  • Electric Field
  • Electric dipole
  • Electric Field due to a dipole
  • Electrostatic potential and potential energy
  • Electrostatic Potential energy & Electrostatic Potential
  • Electric Flux
  • Gauss Law
  • Capacitors
  • Distribution of charges in a conductor

• Current Electricity

  11 of 12 topics

  • Electric Current
  • Ohm's Law
  • Resistivity
  • Energy and power in electrical circuits
  • Kirchhoff's First rule
  • Kirchhoff's Second rule
  • Wheatstone’s bridge
  • Metre bridge
  • Thermoelectric current
  • Seebeck effect
  • Peltier Effect

• Magnetism and magnetic effects ofelectric current

  6 topics

  • Coulomb's inverse square law of magnetism
  • Biot - Savart law
  • Ampere Circuital law
  • Lorentz force
  • Force on a moving charge in a magnetic
  • Moving coil galvanometer

• Electromagnetic Induction and Alternating current

  11 topics

  • Electromagnetic Induction
  • Magnetic Flux
  • Fleming's right-hand rule
  • Self-Induction
  • Methods of producing induced emf
  • Transformer
  • Construction and working of transformer
  • Energy losses in Transformer
  • Alternating Current
  • Q- factor
  • Power in AC circuits

• Electromagnetic waves

  4 topics

  • Displacement current and Maxwell's correction to Ampere’s circuital law
  • Electromagnetic waves
  • Electromagnetic spectrum
  • Types of spectrum emission and absorption spectrum

• Ray optics

  10 topics

  • Reflection
  • Spherical mirrors
  • Speed of light
  • Refractive index
  • Optical path
  • Refraction
  • Refraction at single spherical surface
  • Thin lens
  • Prism
  • Scattering of sunlight

• Wave optics

  9 topics

  • Theories on light
  • Quantum theory
  • Wave nature of light
  • Interference
  • Diffraction
  • Resolutions
  • Malus law
  • Brewster's law
  • Optical instruments

• Dual nature of radiation and mater

  8 topics

  • Electron Emission
  • Photo Electric Effect
  • HERTZ
  • Hallwach and Lenards's Observation
  • Matter waves
  • De - Broglie wavelength
  • Electron Microscope
  • X-ray Spectra

• Atomic and nuclear physics

  11 of 12 topics

  • Electric Discharge Through gases
  • Properties of Cathode Rays
  • Rutherford Model
  • Bohr atom model
  • Atomic Structure
  • Atomic and Nuclear masses
  • Nuclear Force
  • Half-Life
  • Mean life
  • Carbon dating
  • nuclear fission

• Electronics and communication systems

  11 of 12 topics

  • Energy Band Diagram
  • Types of Semi-conductors
  • PN Junction Formation
  • PN Junction Diode
  • Zener Diode
  • The Bipolar Junction transistor
  • Digital Electronics
  • Boolean Algebra
  • De Morgans Theorem
  • Integrated chips
  • Communication System

Showing 91 of 94 topics in this subject.Show all 94 topics →

• Metallurgy

  5 topics

  • Occurrence of metals
  • Mineral and ore
  • Concentration of ores
  • Extraction of crude metal
  • Refining process

• P - block elements

  11 topics

  • General trends in properties of p-block Elements
  • Group 13 (Boron group) elements
  • Group 14 (Carbon group) elements
  • Silicones
  • Group 15 elements
  • Oxoacids of Phosphorus-Structure
  • Group 16 (Oxygen group) elements
  • Occurrence
  • Physical properties
  • Group 17 (Halogen group) elements
  • Group 18 (Inert gases) elements

• Transition and inner transition elements

  7 topics

  • Position of d- block elements in the periodic table
  • electronic configuration
  • General trend in properties
  • f-block elements
  • Inner transition elements
  • The position of Lanthanoids in the periodic table
  • Actinoids: Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr

• Coordination chemistry

  6 topics

  • Coordination compounds and double salts
  • Werner's theory of coordination compounds Postulates Werner's theory
  • Definition of important terms pertaining to co-ordination compounds
  • Types of complexes
  • Nomenclature of coordination compounds
  • Theories of coordination compound

• Solid-state

  6 topics

  • Classification of Solids
  • Classification of Crystalline Solids
  • Crystal lattice and unit cell
  • Primitive and Non-Primitive unit cell
  • Packing in Crystals
  • Imperfections in solids

• Chemical kinetics

  6 topics

  • Rate of Chemical reaction
  • Rate law and Rate Constant
  • Molecularity
  • Integrated Rate Equation
  • Half-life period of a reaction
  • Arrhenius Equation

• Ionic Equilibrium

  7 topics

  • Acids and bases
  • Strength of Acids and Bases
  • ionisation of water
  • the pH Scale
  • Common ion effect
  • Buffer Solution
  • Solubility Product

• Electrochemistry

  7 topics

  • Conductivity of electrolytic solution
  • Variation of molar conductivity with Concentration
  • Thermodynamics of cell reactions
  • Nernst equation
  • Electrolytic cell and Electrolysis
  • Faraday's law of electrolysis First law, Second law
  • Electrochemical series

• Surface chemistry

  6 topics

  • Adsorption and Absorption Characteristics of adsorption
  • Physical and Chemical Adsorption
  • Catalysis Positive and Negative Catalysis
  • Colloid
  • dispersion Phase and dispersion medium
  • Preparation of Colloids

• Hydroxy compounds and ethers

  11 topics

  • IUPAC Nomenclature
  • Physical Properties of Alcohols
  • Preparation of Alcohols
  • Physical Properties of Phenol
  • Chemical properties of phenols
  • Test to differentiate Alcohols & Phenols
  • Ethers
  • Classification IUPAC System Structure of functional group
  • Preparation of Ethers
  • Physical properties
  • Chemical Properties

• Carbonyl compounds and carboxylic acids

  9 topics

  • Nomenclature of Aldehyde and Ketones
  • Structure of carbonyl group
  • General methods of preparation of Aldehydes and Ketones
  • Physical properties
  • chemical properties
  • carboxylic acids
  • Nomenclature
  • structure of carboxyl group
  • Methods of preparation

• Organic nitrogencompounds

  10 topics

  • Classification of Nitro compounds
  • Nomenclature
  • Isomerism
  • Preparation of Nitro Alkanes
  • Physical and chemical properties of Nitro Alkanes
  • Amines
  • Classification
  • IUPAC system of Amines
  • Structure
  • General Methods of Preparation of Amines Physical and chemical properties

• Biomolecules

  8 topics

  • Carbohydrate
  • classification
  • Glucose
  • Fructose
  • Disaccharides
  • Proteins
  • Amino acids
  • Nucleic acids

• Asexual and Sexual Reproduction in Plants

  8 topics

  • Asexual re production
  • Pre-fertilization structure and events
  • Androecium
  • Gynoecium
  • Pollination
  • Apomixis
  • Polyembryony
  • Parthenocarpy

• Classical Genetics

  4 topics

  • Heredity and variation
  • Monohybrid cross
  • intragenic interactions
  • Intergenic interactions

• Chromosomal Basis of Inheritance

  6 topics

  • Comparison between gene and chromosome behaviour
  • Linkage
  • Crossing Over
  • Multiple allele
  • Types of mutation
  • Chromosomal mutations

• Principles and Processes of Biotechnology

  11 topics

  • Fermentation
  • Advancements in Modern Biotechnology
  • Tools for Genetic Engineering
  • Methods of Gene Transfer
  • Screening for Recombinants
  • Herbicide Tolerant
  • insect resistance
  • Bt Crops
  • Polyhydroxybutyrate (PHB)
  • Bioremediation
  • Bioprospecting

• Plant Tissue Culture

  5 topics

  • Introduction
  • Techniques involved in PTC
  • Types of plant Tissue culture
  • Meristem culture Applications of Plant Tissue Culture
  • cryopreservation

• Principles of Ecology

  11 topics

  • Definitions of ecology
  • Ecological hierarchy
  • Habitat & Niche
  • Ecological equivalents
  • Edaphic factors
  • Topographic factors
  • Biotic factors
  • Interspecific interactions
  • Ecological adaptations
  • Hydrophytes
  • Xerophytes Mesophytes

• Ecosystem

  10 topics

  • Photosynthetically Active Radiation
  • Energy flow
  • food chain
  • Food web
  • Ecological pyramids
  • Bio Geo Chemical cycle
  • carbon cycle & phosphate cycle
  • Types of ecosystems
  • plant succession
  • Ecological succession

• Environmental Issues

  11 of 12 topics

  • Greenhouse effect & Global warming & Ozone depletion
  • Forestry
  • Deforestation
  • Afforestation
  • Alien species
  • Carbon capture and storage
  • environmental impact assessment
  • Pollution
  • Bio Magnification
  • Eutrophication
  • Organic farming and its Implementation

• Reproduction in Organisms

  9 topics

  • Mode of Reproduction
  • Sexual reproduction
  • Human Reproductive system
  • Gametogenesis
  • Fertilization and Implantation
  • Maintenance of pregnancy and Embryonic development
  • Need for reproductive Health problems and Strategies
  • Amniocentesis and its statutory Ban
  • Population explosion and Birth control

• Principles of Inheritance and Variation

  7 topics

  • Multiple alleles
  • Human blood groups
  • Genetic control of Rh factor
  • Sex determination
  • Sex-linked inheritance
  • Karyotyping
  • Pedigree analysis

• Molecular Genetics,

  8 topics

  • Gene as the functional unit of Inheritance
  • DNA is the Genetic Material
  • RNA – World
  • Properties of genetic Material
  • Packaging of DNA helix
  • Transcription
  • Genetic Code
  • Translation Regulation of gene expression

• Evolution

  5 topics

  • Origin of life
  • Geological Time Scale
  • Biological evolution
  • Theories of biological evolution
  • Hardy- Weinberg Principle

• Human Health and Diseases

  6 topics

  • Common diseases in Human beings
  • Maintenance of Personal and Public Hygiene
  • Basic concepts of Immunology
  • Adolescence
  • Drug and Alcohol abuse
  • Mental health and Depression

• Microbes in Human Welfare

  3 topics

  • Microbes in industrial products
  • Microbes in sewage treatment
  • Bioremediation

• Applications of Biotechnology

  4 topics

  • Applications in medicine
  • Gene therapy
  • Stem cell therapy
  • Molecular Diagnostics

• Organisms and Populations

  5 topics

  • Organisms and its environment
  • Major Abiotic components or factors
  • Populations
  • Population Attributes
  • Population Interaction

• Biodiversity and Its Conservation

  4 topics

  • Biodiversity
  • Importance of Biodiversity
  • Global and India
  • Causes of biodiversity loss

Showing 117 of 118 topics in this subject.Show all 118 topics →