BCECE Exam 2025: Registration (Started), Date, Syllabus, Eligibility, Pattern, Admit Card, Admission Process

Chemistry: Unit 01

• General introduction
• Importance
• Scope of chemistry
• Historical approach to particulate nature of matter
• Laws of chemical combination
• Dalton's atomic theory
• Concept of elements
• Atoms and molecules
• Atomic and molecular masses
• Mole concept and molar mass
• Percentage composition
• Empirical and molecular formula
• Chemical reactions
• Stoichiometry
• Calculations based on stoichiometry

Chemistry: Unit 02

• Discovery of electron
• Proton and neutron and their characteristics
• Atomic Number
• Sotopes and isobars
• Thomson's model and its limitation
• Rutherford's model and its limitations
• Bohr's model and its limitations
• Concept of shells and subshells
• Dual nature of matter and light
• De broglic's relationship
• Heisenberg uncertainty principle
• Concepts of orbits
• Quantum numbers
• Shapes of s.p. and d orbitals
• Rule for filling electrons in orbitals aufbau principle
• Pauli exclusion principle and hund's rule
• Electronic configuration of atoms
• Stability of half filled
• Completely filled orbitals

Chemistry: Unit 03

• Significance of classification
• Brief history of the development of periodic table
• Modern periodic law and the present form of periodic table
• Periodic trends in properties of elements
• Atomic radii
• Ionic radii
• Ionization enthaply
• Electron gain enthalpy
• Electro negativity
• Valence

Chemistry: Unit 04

• Valence electrons
• Ionic bond
• Covalent bond
• Bond parameters
• Lewis structure
• Polar character of covalent bond
• Covalent characters of ionic bond
• Valence bond theory
• Resonance
• Geometry of covalent molecules
• VSEPR theory
• Concept of hybridization involving s, p and d orbitals and shapes of some simple molecules
• Molecular orbital
• Theory of homonuclear diatomic molecules (qualitative idea only)
• Hydrogen bonding

Chemistry: Unit 05

• Three states of matter
• Intermolecular interactions
• Type of bonding
• Melting and boiling points
• Role of gas laws in elucidating the concept of the molecule
• Boyle's law
• Charle's law
• Gay lussac's law avogadro's law
• Ideal behaviour
• Empirical derivation of gas equation
• Avogadro's number
• Ideal gas equation
• Derivation from ideal behaviour
• Liquification of gases
• Critical temperature
• Vapour pressure and viscosity of liquid state
• Surface tension (qualitative idea only, no mathematical derivations) of liquid state

Chemistry: Unit 06

• Concepts of system
• Types of systems
• Surroundings
• Work
• Heat
• Energy
• Extensive and intensive properties
• State functions
• First law of thermodynamics
• Internal energy and enthalpy
• Heat capacity and specific heat
• Measurement of δu and δh
• Hess's law of constant heat summation enthalpy of : bond dissociation
• Combustion
• Formation
• Atomization
• Sublimation
• Phase transformation
• Ionization and solution
• Introduction of entropy as a state function
• Free energy change for spontaneous and non-sponteneous process
• Criteria for equilibrium

Chemistry: Unit 07

• Equilibrium in physical and chemical processes dynamic nature of equilibrium
• Law of mass action
• Equilibrium constant
• Factors affecting equilibrium - le chatelier's principle
• Ionic equilibrium - ionization of acids and bases
• Strong and weak electrolytes
• Degree of ionization
• Concept of pH
• Hydrolysis of salts (elementary idea)
• Buffer solutions
• Solubility product
• Common ion effect (with illustrative examples)

Chemistry: Unit 08

• Concept of oxidation and reduction
• Redox reactions
• Oxidation number
• Balancing redox reactions
• Applications of redox reactions

Chemistry: Unit 09

• Position of hydrogen in periodic table
• Occurrence, preparation, properties and uses of hydrogen
• Isotopes
• Preparation
• Properties and uses of hydrogen
• Hydrides - ionic, covalent and interstitial
• Physical and Chemical properties of water
• Heavy Water
• Hydrogen peroxide - preparation, reactions and structure
• Hydrogen as a fuel

Chemistry: Unit 10

• General introduction of group 1 and group 2 elements
• Electronic configuration
• Occurrence, preparation, properties and uses of hydrogen
• Anomalous properties of the first element of each group
• Diagonal Relationship
• Trends in the variation of properties trends in chemical reactivity with oxygen, water, hydrogen and halogens
• Uses
• Preparation and Properties of Some important Compounds
• Sodium Carbonate
• Sodium Chloride
• Sodium hydroxide
• Sodium hydrogen carbonate
• Biological importance of Sodium and Potassium
• Cao, caco3 and industrial use
• Lime and limestone
• Biological importance of Mg and Ca

Chemistry: Unit 11

• General introduction of group 3 elements
• Electronic configuration
• Occurrence, preparation, properties and uses of hydrogen
• Variation of properties
• Oxidation states
• Trends in chemical reactivity
• Anomalous properties of first element of the group
• Boron-physical and chemical properties
• some important compounds
• Borax, boric acids, boron hydrides
• Aluminium and their uses
• Aluminium reactions with acids and alkalies

Chemistry: Unit 12

• General introduction of group 4 elements
• Electronic configuration
• Occurrence, preparation, properties and uses of hydrogen
• Variation of properties
• Oxidation states
• Trends in chemical reactivity
• Anomalous properties of first element
• Carbon - catenation, allotropic forms
• Physical and Chemical properties
• Uses of some important compounds : oxides
• Important compounds of silicon and a few uses
• Silicon tetrachloride
• Silicons
• Silicates
• Zeolite

Chemistry: Unit 13

• General introduction
• Methods of qualitative and quantitative analysis
• Classification and IUPAC nomenclature of organic compounds
• Electronic displacements in a covalent bond
• Inductive effect
• Electrometric effect
• Resonance and hyper conjugation
• Hemolytic and heterolytic fission of a covalent bond
• Free radicals
• Carbocations
• Carboanions
• Electrophiles and Nucleophiles
• Types of organic reactions

Chemistry: Unit 14

• Nomenclature of Alkanes
• Isomerism - Structural and stereoisomerism
• Conformations of ethane
• Methods of Preparation
• Physical properties
• Chemical reactions including halogenation
• Free radical mechanism
• Combustion and Pyrolysis
• Nomenclature of alkenes
• Structure of double bond ethane
• Geometrical isomerism
• Chemical reaction
• Addition of Hydrogen
• Halogen
• Water
• Markovnikov's addition and peroxide effect of hydrogen halides
• Ozonolysis
• Oxidation
• Mechanism of electrophyllic addition
• Nomenclature of Alkynes
• Structure of triple bond ethyne
• Chemical reactions
• Acidic character of Alkynes
• Addition reactions of hydrogen
• Halogenes
• Hydrogen halides and water
• Introduction of Aromatic Hydrocarbons
• IUPAC nomenclature
• Benzene
• Resonance
• Aromaticity
• Chemical properties
• Nitration of mechanism of electrophilec substitution
• Sulphonation
• Halogenation
• Friedal craft's alkylation and acylation
• Directive influence of functional group in mono-substituted benzene
• Carcinogenicity and toxicity

Chemistry: Unit 15

• Air of environmental pollution
• Water and soil pollution
• Chemical reactions in atmosphere smogs
• Major atmospheric pollutants
• Acid rain
• Ozone and its reactions
• Effects of depletion of ozone layer
• Pollution due to industrial wastes of greenhouse effect and global warming
• Green chemistry as an alternative tool for reducing pollution
• Strategy for control of environmental pollution
• Classification of solids based on different binding forces of solid state
• Molecular
• Molecular, ionic covalent and metallic solids
• Amorphous and crystalline solids
• Unit cell in two dimensional and three dimensional lattices
• Calculation of density of unit cell
• Packing in solids
• Voids
• Number of atoms per unit cell in a cubic unit cell
• Point defects
• Electrical and Magnetic properties

Chemistry: Unit 16

• Types of solutions
• Expression of concentration of solutions of solids in liquids
• Solubility of gases in liquids
• Solid solutions
• Colligative properties of relative lowering of vapour pressure
• Elevation of boiling point
• Depression of freezing point
• Osmotic pressure
• Determination of molecular masses using colligative properties
• Abnormal molecular mass

Chemistry: Unit 17

• Redox reactions
• Conductance in electrolytic solutions
• Specific and molar conductivity variations of conductivity with concentration
• Kohlrausch's law
• Electrolysis and laws of electrolysis (elementary idea)
• Dry cell-electrolytic cells and galvanic cells
• Lead accumulator
• EMF of a cell
• Standard electrode potential
• Nernst equation and its application to chemical cells
• Fuel cells
• Corrosion

Chemistry: Unit 18

• Average and instantaneous rate of a reaction
• Factors affecting rates of reaction
• Concentration
• Temperature
• Calatyst
• Order and molecularity of a reaction
• Rate law and specific rate constant
• Integrated rate equations and half life
• Concept of collision theory

Chemistry: Unit 19

• Adsorption of hysisorption and chemisorption
• Factors affecting adsorption of gases on solids
• Catalysis of homogenous and heterogeneous
• Activity and Selectivity
• Enzyme Catalysis
• Colloidal state
• Distinction between true solutions
• Colloids and suspensions
• Lyophilic
• Lyophobic
• Multimolecular and macromolecular colloids
• Properties of colloids
• Tyndall effect
• Brownian movement
• Electrophoresis
• Coagulation
• Emulsion and their types

Chemistry: Unit 20

• Principles and methods of extraction
• Concentration
• Oxidation
• Reduction electrolytic method and refining
• Occurrence and principles of extraction of aluminium
• Copper
• Zinc
• Iron

Chemistry: Unit 21

• General introduction of group 5 elements
• Electronic configuration
• Occurrence, preparation, properties and uses of hydrogen
• Oxidation states
• Trends in Physical and Chemical properties
• Preparation and uses of nitrogen
• Preparation and uses of compound of nitrogen
• Preparation and uses of ammonia and nitric acid
• Only structure of oxides of nitrogen
• Allotropic forms of phosphorous
• Compounds of Phosphorous
• Preparation and Properties of Phosphine
• Halides (pcl3, pcl5)
• Elementary idea of oxoacids
• General introduction of group 6 elements
• Preparations and uses of dioxygen
• Simple oxdides
• Ozone
• Allotropic forms of sulphur
• Preparations and uses of sulpher dioxides
• Industrial process of manufacture of sulphuric acid
• Properties and uses of sulphuric acid
• Structures only of oxoacids of sulphur
• General introduction of group 7 elements
• Compounds of Halogens
• Preparations and uses of chlorine and hydrochloric acid
• Interhalogen compounds
• Structures only of oxoacids of halogens
• General introduction of group 8 elements
• Uses

Chemistry: Unit 22

• General introduction
• Electronic configuration
• Occurrence and characteristics of transition metals
• General trends in properties of the first row transition metals
• Metallic character
• Ionization enthalpy
• Oxidation states
• Ionic radii
• Colour
• Catalytic property
• Magnetic properties
• Interstitial compounds
• Alloy formation
• Preparation and Properties of K2Cr2O7 and KMnO4
• Electronic configuration of lanthanoids
• Chemical Reactivity
• Lanthanoid contraction
• Electronic configuration of actinoids
• Introduction of coordination compounds
• Ligands
• Coordination number
• Magnetic properties and shapes
• IUPAC Nomenclature of mononuclear coordination compounds
• Bonding
• Isomerism - Structural and stereoisomerism
• Substitution reactions
• Directive influence of halogen for mono-substituted compounds

Chemistry: Unit 23

• Nomenclature
• Nature of C-X bond
• Physical and Chemical properties
• Mechanism of Substitution Reactions

Chemistry: Unit 24

• Nature of c-x bond
• Substitution reactions
• Directive influence of halogen for mono-substituted compounds
• Uses and environmental effects of dichloromethane
• Trichloromethane
• Tetrachloromethane
• Iodoform
• Freons
• DDT

Chemistry: Unit 25

• Nomenclature
• Methods of Preparation
• Physical and chemical properties of primary alcohols only
• Identification of primary alcohols
• Secondary and Tertiary Alcohols
• Mechanism of dehydration
• Uses of methanol and ethanol

Chemistry: Unit 26

• Nomenclature
• Methods of preparation
• Physical and chemical properties
• Acidic nature of phenol
• Electrophillic substitution reactions
• Uses of phenols, uses with special reference to methanol and ethanol

Chemistry: Unit 27

• Nomenclature
• Methods of Preparation
• Physical and Chemical properties
• Uses

Chemistry: Unit 28

• Nomenclature
• Nature of carbonyl group
• Methods of Preparation
• Physical and chemical properties mechanism of nucleophilic addition
• Reactivity of alpha hydrogen in aldehydes
• Uses

Chemistry: Unit 29

• Nomenclature
• Acidic nature
• Methods of Preparation
• Physical and Chemical properties
• Uses

Chemistry: Unit 30

• Nomenclature of amines
• Classification
• Structure
• Methods of Preparation
• Physical and Chemical properties
• Uses
• Identification of primary, secondary and tertiary amines
• Cyanides and Isocyanides
• Preparation of diazonium salts
• Chemical reactions
• Importance in synthetic organic chemistry

Chemistry: Unit 31

• Classification of Aldoses and Ketoses
• Monosaccahrides of glucose and fructose
• Oligosaccharides of sucrose, lactose, maltose
• Polysaccharides of starch, cellulose, glycogen
• Importance

Chemistry: Unit 32

• Elementary idea of a of amino acids
• Peptide Bond
• Polypeptides proteins
• Primary structure
• Secondary structure
• Tertiary structure
• Qualitative idea of quaternary structure
• Denaturation of Proteins
• Enzymes

Chemistry: Unit 33

• Classification and functions

Chemistry: Unit 34

• DNA and RNA

Chemistry: Unit 35

• Classification of natural and synthetic
• Addition and condensation of polymerization methods
• Copolymerization
• Polythene, nylon, polyesters, bakelite, rubber

Chemistry: Unit 36

• Analgesics of chemicals in medicines
• Tranquilizers
• Antiseptics
• Disinfectants
• Antimicrobials
• Antifertility drugs
• Antibiotics
• Antacids
• Antihistamines
• Preservatives of chemicals in food
• Artificial Sweetening Agents
• Soaps and detergents of cleansing agent
• Cleansing action of cleansing agent

Mathematics: Unit 01

• Sets and their representations
• Empty set
• Finite and infinite sets
• Equal sets
• Subsets
• Subsets of the set of real number especially intervals
• Power set
• Universal set
• Venn diagrams
• Union and intersection of sets
• Difference of sets
• Complement of a set
• Ordered pairs of relation and functions
• Cartesian product of sets
• Number of elements in the cartesian product of two finite sets
• Cartesian product of the reals with itself (upto r x r x r)
• Definition of relation
• Pictorial diagrams
• Domain
• Condomain and range of a relation
• Function as a special kind of relation from one set to another
• Pictorial representation of a function
• Co-domain and range of a function
• Real valued function of the real variable
• Domain and range of these functions
• Constant
• Identity
• Polynomial
• Rational
• Modulus
• Signum and greatest integer functions with their graphs
• Sum
• Difference
• Product and quotients of functions
• Positive and negative angles of trigonometric functions
• Measuring angles in radians and in degrees and conversion from one measure to another
• Definition of trigonometric functions with the help of unit circle
• Truth of the identify sin2x + cos2 x = 1, for all x
• Signs of trigonometric functions and sketch of their graphs
• Expressing sin (x + y) and cos (x + y) in terms of sin x, sin y, cos x, and cos y
• Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x
• General solution of trigonometric equations of the type sin? = sina, cos? = cosa and tan? = tana
• Proof and simple application of sine and cosine formula

Mathematics: Unit 02

• Processes of the proof by induction
• Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers
• The principle of mathematical induction, simple applications
• Need for complex numbers
• Especially v-1 is to be motivated by inability to solve every quadratic equations
• Brief description of algebraic properties of complex numbers
• Argand plane and polar representation of complex numbers
• Statement of fundamental theorem of algebra
• Solution of quadratic equations in the complex number system
• Linear Inequalities
• Algebraic solutions of linear inequalities in one variable and their representation on the number line
• Graphical solution of linear
• Inequalities in two variables
• Graphically solutions of system of linear inequalities in two variables
• Fundamental principle of counting
• Factorial n
• (n!) permutation and combinations
• Derivation of formulae and their connections
• Simple applications
• History of bionominal theorem
• Statement and proof of the binomial theorem for positive integral indices
• Pascal's triangle
• General and middle term in binomial expansion and their simple applications
• Sequence and series
• Arithmetic progression (a.p.)
• Arithmetic mean (a.m )
• Geometric progression (g.p.)
• General term of a g.p
• Sum of n terms of a g.p
• Geometric mean (g.m.)
• Relation between a.m. and g. m.
• Sum to n terms of the special series , ?n and ?n2 and ?n3

Mathematics: Unit 03

• Brief recall of 2d from earlier classes of straight lines
• Slope of a line and angle between two lines
• Various forms of equations of a line
• Parallel to axes
• Point-slope form
• Slope-intercept form
• Two-point form
• Intercepts form and normal form
• General equation of a line
• Distance of a point from a line
• Sections of a cone of conic section
• Circle
• Ellipse
• Parabola
• Hyperbola
• A point
• A straight line
• Pair of intersecting lines as a degenerated case of a conic section
• Standard equations and simple properties of parabola
• Standard equations and simple properties of ellipse
• Standard equations and simple properties of hyperbola
• Standard equation of a circle
• Coordinate axes and coordinate planes in three dimensions
• Coordinates of a point
• Distance between two points and section formula

Mathematics: Unit 04

• Derivative introduced as rate of change both as that of distance function and geometrically
• Intuitive idea of limit
• Definition of derivative
• Relate it to slope of tangent of the curve
• Derivative of sum
• Derivative of difference
• Product and quotients of functions
• Derivatives of polynomial and trigonometric functions

Mathematics: Unit 05

• Mathematically acceptable statements
• Consolidating the understanding of connecting words / phrases
• Mathematics
• Validating the statements involving the connecting words
• Difference between contradiction
• Converse and contrapositive.

Mathematics: Unit 06

• Mean deviation of measure of dispersion
• Variance and standard deviation of ungrouped / grouped data
• Analysis of frequency distributions with equal means but different variances
• Outcomes of random experiments
• The sample space of random experments
• Occurrence of events
• 'not', 'and' 'or' events
• Exhaustive events
• Axioms of probability