উচ্চ-মাধ্যমিক সিলেবাস ২০২২ : সমস্ত বিষয়ের কোন কোন অংশ বাদ | HS Syllabus 2022
উচ্চ-মাধ্যমিক সিলেবাস ২০২২(HS Syllabus 2022) :
সংগীত, স্বাস্থ্য ও শারীরশিক্ষা, ভিস্যুয়াল আর্টস এবং ভোকেশনালের বিষয়গুলির অর্থাৎ যে সমস্ত বিষয়ের থিয়োরি পরীক্ষা ৬০ বা ৬০ এর কম নম্বরের হয় সেই বিষয়গুলি ছাড়া উচ্চ-মাধ্যমিক পরীক্ষা ২০২২ এর সমস্ত বিষয়ের সিলেবাস কমানো হয়েছে।
কোন বিষয়ে কতটা অংশ কমানো হয়েছে তা নিচে দেওয়া হল।
উচ্চ-মাধ্যমিক বাংলা সিলেবাস ২০২২ : কমানো অংশ
Table of Contents
Bengali A
সাহিত্যচর্চা থেকে “কে বাঁচায় কে বাঁচে”।
ভাষা সাহিত্য থেকে “শব্দার্থ তত্ত্ব”।
পূর্ণাঙ্গ গ্রন্থ ‘আমার বাংলা’ থেকে ‘কলের কলকাতা’ অংশ।
সাহিত্যচর্চা কবিতা থেকে ‘শিকার’ কবিতা এবং
বাঙালির শিল্প ও সংস্কৃতি থেকে ‘বাংলা গানের ধারা’ অধ্যায়।
Bengali B
প্রথম পর্ব চতুর্থ অধ্যায় – বাঙালির বিজ্ঞানচর্চা
দ্বিতীয় পর্ব তৃতীয় অধ্যায় – রূপতত্ত্ব
উচ্চ-মাধ্যমিক ইংরেজি সিলেবাস ২০২২ : কমানো অংশ
English A
Prose: A Chameleon
Poem: Dulce et Decorum
English B
Prose : Thank You Ma’am
Poetry : On Killing a Tree
Alternative English
Prose: The Mark of Vishnu
Poetry : Lotus
উচ্চ-মাধ্যমিক সংস্কৃত সিলেবাস ২০২২ : কমানো অংশ
Sanskrit
গদ্যাংশ – আর্যাবর্তবর্ণনম
MCQ 1 × 2
SA 1 × 2
Descriptive 5 × 1
সংস্কৃত ভাষায় অনুচ্ছেদ রচনা
গদ্যাংশর নম্বর গদ্যাংশে ভাগ হয়ে যাবে।
অনুচ্ছেদের 5 নম্বর থেকে
কারক বিভক্তিতে 3 (1×3) এর পরিবর্তে (2×3)
শব্দ যুগলের পার্থক্যতে 2(1×2)র পরিবর্তে (2×2)
অন্যান্য ভাষার সিলেবাস ২০২২ : কমানো অংশ
Gujrati
Gadhya : Saraswati Chandra no grihatyaag – Govardhanram Tripathi
Kolakaluri lnoch – short story – Oorabavi – Kshamabhiksha. Pg. 179-198
Non-Detailed :
1. Navalalu-Kathanikalu
2. JeevitacharitraIu – sweeyacharitraIu
3. Vyasamulu
4. Vimarsalu
5. Parisodhanalu
Urdu
Prose : Md. Ali Jauhar
Poetry : Qasida
History of Urdu Literature :Sir Syed Tahreek ( Movement ) ( Unseen )
Ghazal by Nasir Kazmi
Afsana (Fiction) :Bewazni
Arabic
Prose : Sl No 5 & 9
Poetry : Sl No 5 & 8
French
Poem : Une allee du Luxembourg
Prose : La Tendress d’une Epouse de Pilote
Persian
1) Classical Prose :
I. INT EKHAB-AZ-AKHLAOUE-1-MOHSJNI : Story No:2 ( DAR JID O JAHAD)
II. INTEKHAB-AZ-AKHLAOUE-NIGARISTAN : Story No: 2
III. INTEKHAB-AZ-BAHARISTAN-1-JAMI : Story No : 4 & 5
2) Classical Poetry:
I. IN TEKHAB-AZ-KULIYAT-1-SAADl : Poem 2 (PAND-1-ANUSHERWAN BE HURMUZ)
II. IN TEKHAB-AZ-GHAZALIY AT-1-KHUSRAU : Ghazal No:3
III. NTEKHAB-AZ-OATAAT-I-IOBAL : QATA NO: 4 & 5
উচ্চ-মাধ্যমিক এগ্রোনমি সিলেবাস ২০২২ : কমানো অংশ
Agronomy
Growth of crops – entire chapter
Soil erosion and its control
Crop production and propagation: wheat, sugarcane, banana
Crop protection : protection against rodents
Law of diminishing return in fertilizers use, special features of rainfed and irrigated agriculture
উচ্চ-মাধ্যমিক জীববিদ্যা সিলেবাস ২০২২ : কোন অংশ পরীক্ষা হবে
Biological Science
Unit-I : Reproduction in Organisms (14 marks)
1. Sexual Reproduction In flowering Plants
Flower structure : Typical structure of a complete regular flower with diagram
Pollination: Definition, types-self Pollination ( autogamy and geitonogamy ) and cross pollination. (allogamy and xenogamy) ; agents of pollination- wind, water, animals, insects and birds brief description with example . Significance .
Outbreeding devices
Double fertilization
Special modes – apomixes, Parthenogenesis, parthenocarpy and Polyembryony (brief account)
Significance of seed and fruit formation
2. Human Reproduction
Introduction
Male Reproductive system (outline with diagram)
Female Reproductive system (outline with diagram)
Gametogenesis- Definition and type
Spermatogenesis (brief account)
Oogenesis (brief account)
Menstrual cycle
Fertilization and development of embryo upto blastocyst formation and implantation .
Pregnancy and Placenta formation (elementary idea)
Parturition (elementary idea)
Lactation (elementary idea)
3. Reproductive Health
Introduction: what is Reproductive health?
Need for reproductive health
Sexually Transmitted diseases (STD) and its prevention
Birth control- Needs and Methods: i) Contraception, ii) Medical termination of pregnancy (MTP)
Amniocentesis: What it is and it’s Significance
Infertility and assisted reproductive Technologies – IVF (in vitro fertilization), ZIFT (Zygote intrafallopian transfer), GIFT (Gamete intrafallopian transfer ), Elementary idea for general awareness.
Unit-II : Genetics and Evolution (18 marks)
4. Heredity and Variation
Introduction
Mendelian Inheritance (laws only)
Deviations from Mendelism – i) incomplete dominance, ii) Co-dominance, iii) multiple alleles and Inheritance of Blood groups (ABO & Rh), iv) Pleiotroph
Polygenic inheritance ( elementary )
Chromosome theory of inheritance
Chromosome and genes
Sex determination in – Human, bird and honey bee
Linkage and crossing over
Sex -linked inheritance – haemophillia and colour blindness
Mendelian disorder in human: Chromosomal disorders : i) Autosomal – thalassemia, ii) Sex-linked-Down’s Syndrome, Turner’s Syndrome and Klinefelter’s Syndrome (cause & symptoms only, Process of inheritance is not required)
5. Molecular Basic of Inheritance
Search for genetic material
DNA as genetic material: (experiments on Bacterial transformation by F. Griffith; Avery ,Mcleod and Harshey & Chase)
Structure of DNA
Structure of RNA
Types of RNA -mRNA; rRNA & tRNA
DNA Packaging
Central dogma (elementary), DNA replication , transcription. Genetic code and translation .
Regulation of Gene expression (elementary) Lac Operon
Genome and Human genome project
DNA finger printing
6. Evolution
Introduction
Biological Evolution – a) What is biological Evolution? b) Evidence for Biological Evolution – i) Paleonotological, ii) From comparative anatomy, iii) Embryological, iv) Molecular
Theories of organic evolution Introduction – Darwin’s contribution Modern Synthetic Theory –
Hardy Weinberg’ s Principle
Unit-III : Biology and Human Welfare (14 marks)
7. Health and Diseases
Basic concept of immunology – vaccines Introduction – immune system – Antigen, Antibody , Antigen-Antibody reaction – Types of immunity – vaccine s and vaccination
Pathogens, parasites causing human Diseases-Malaria, Filariasis, Ascariasis, Typhoid, Pneumonia, common cold , Amoebiosis and ring worm .(symptoms of Disease, Name of causative agent ,mode of Transmission ,preventive measures)
Cancer ,HIV and AIDS-Symptoms of disease , causative agent , mode of transmission preventive measures
Adolescene : drug and alcohol abuse
8. Microbes in Human welfare
In household food processing
Industrial production
Sewage treatment
Energy generation
Bio control agents and bio fertilizers
Unit-IV : Biotechnology and Its Application (10 marks)
9. Biotechnology and its Application
Introduction
Principle
Process -Genetic Engineering (Recombinant DNA technology )
Application of Biotechnology in health and agriculture – introduction
Human insulin and vaccine production gene therapy
Meaning of ecology. Environment , Habitat and niche.
Organisms and environment – i) Introduction -biome concept and distribution, ii) Major abdiotic factors – water ,light temperature and soil, iii) Responses to abiotic factors, iv) Adaptations
Population and ecological adaptations- i) Population interactions – mutualism competition, predation, parasitism, ii) Population attributes- growth, birth rate and death rate , age distribution
11. Biodiversity and Conservation
What is biodiversity?
Levels of biodiversity (genetic ,species and Ecological), Patterns of biodiversity, Importance and loss of biodiversity
Threats to need for biodiversity conservation
Hotspots ,endangered organisms, extinction, Red Data book
Biodiversity conservation – a) Biosphere reserve, b) National parks and sanctuaries-
12. Environment issues
Introduction
Air Pollution and its control
Water Pollution and its control
Agro -Chemicals and their effects
Solid waste management
Radioactive waste management
Green House effect and global warming
Ozone depletion
Deforestation Three success stories addressing environmental issue – chipko movement, Dasholi Gram Swarajya Mandal (DGSM) Movement ; Silent valley or Amrita Devi-Bishnoi (Jaipur) movements
উচ্চ-মাধ্যমিক রসায়নবিদ্যা সিলেবাস ২০২২ : কোন অংশ পরীক্ষা হবে
Chemistry
Solid State:
Classification of Solids based on different binding forces; molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices, packing efficiency, calculation of density of unit Cell, Packing in solids, voids, number of atoms per un it cell in a cubic un it cell , point defects.
Solutions:
Types of Solutions, expression of concentration of solution of solid s in liquids, solubility of gases in liquids, solid solutions, Raoult’s law, colligative properties – relative lowering of vapour pressure, elevation of boiling point, depressing of freezing point, osmotic pressure , determination of molecular masses using colligative properties.
Electrochemistry:
Radox reactions, EMF of cell, standard and electrode potential , Nernst equation and its application to chemical cells, Relation between Gibbs energy change and EMF of a Cell, Conductance in electrolytic solutions, specific and molar conductivity, variations of conductivity with concentration , Kohlrausch’s law, electrolysis and laws of electrolysis (elementary idea).
Chemical Kinetics:
Rate of reaction (average and instantaneous), factors affecting rate of reaction : concentration , temperature, catalyst ‘ order and molecularity of a reaction ; rate law and specific rate constant, integrated rate equations and half life (only for zero and first order reaction)
Surface Chemistry:
Adsorption – Physisorption and chemisorptions, factors affecting adsorption of gases on solids colloidal state, distinction between true solutions, multi molecular and macromolecular colloids; properties of colloids, tyndall effect . Brownian movement, electrophoresis , coagulation.
P- Block Elements:
Group 15 elements: General introduction, electronic configuration, occurrence, oxidation states , trends i n physical and chemical properties; Nitrogen ;- Preparation, properties and uses; compounds of nitrogen ‘ Preparation and properties of ammonia and nitric acid.
Group 16 elements: General introduction , electronic configuration, Oxidation states, Occurrence, trends in physical and chemical properties , dioxygen, preparation , properties and uses ; classification of oxides, Ozone, sulphur – allotropic forms : compounds of sulphur : preparation , properties and uses of sulphur dioxide , sulphuric acid ; properties and uses : oxiacids of sulphur (structures only).
Group 17 elements : General introduction, electronic configuration , oxidation states , occurrence, trends in physical and chemical properties : compounds of halogens ; Preparation , properties and uses of chlorine and hydrochloric acid, interhalogen compounds, oxiacides of halogens (structure only).
Group 18 elements: General introduction , electronic configuration, occurrence, trends in physical and chemical properties, uses
d- and f-Block Elements:
General introduction, electronic configuration, occurrence and characteristic of transition metal s, general trends in properties of the first now transition metals – metallic character, ionization enthalpy, oxidation states, ionic radi colour, catalytic property, magnetic properties, interstitial compounds, alloy formation . Lanthanoids – electronic configuration , oxidation states and lanthanoid contraction and its consequences.
Coordination Compounds:
Coordination compounds – introduction, ligands, coordination number, colour, magnetic properties and shape, IU PAC nomenclature of mononuclear coordination compounds, bonding, Werner ‘s theory, VBT and CFT.
Haloalkanes and Haloarens:
Nomenclature, nature of C-X bond , physical and chemical properties , mechanism of substitution reaction s, stability of carbonations R-S and d-l configurations.
Haloarenes: Natue of C-X bond , substitution reaction s (directive influence of halogen for monosubstituted compounds only)
Alcohols, Phenols and Ethers:
Alcohols: Nomenclature , methods of preparation, physical and chemical properties (of primary alcohols only), identification of primary , secondary and tertiary alcohols; mechanism of dehydration
Phenols: Nomenclature, methods of Preparation , physical and chemical properties , acidic nature of phenol, electrophillic substitution reactions, uses of phenol.
Ethers: Nomenclature , methods of preparation, Physical and chemical properties uses.
Aldehydes, Ketones and Carboxylic Acids:
Aldehydes and Ketones: Nomenclature , nature of carbonyl group, methods of preparation, physical and chemical properties , mechanism of nucleophilic addition , reactivity of alpha hydrogen in aldehydes uses.
Carboxylic Acids: Nomenclature , acidic nature, methods of preparation , physical and chemical properties uses.
Organic Compounds Containing Nitrogen :
Nitro compounds : General methods of preparation and chemical reactions.
Amines: Nomenclature, classification, structure methods of preparation , physical and chemical properties, uses, identification of primary secondary and tertiary amines.
Cyanides and isocyanides – will be mentioned at relevant places in context.
Bio Molecules :
Carbohydrates – Classification (Aldoses and ketose), monosaccharide’s (glucose and fructose) D-L configuration
Proteins – Elementary idea of alpha amino acids , peptide bond , polypeptides, proteins, structure of proteins -Primary secondary , tertiary and quaternary structures (qualitative idea only), denaturation of proteins.
Nucleic Acids: DNA and RNA
উচ্চ-মাধ্যমিক ভূগোল সিলেবাস ২০২২ : কমানো অংশ
Geography
Physical Geography:
Cycle of Erosion,
Drainage Patterns,
Man Environment Interaction,
Marine Processes and Associated Landforms
Economic Geography :
Tertiary, Quaternary, Quinary Activities Regional Economic Development
উচ্চ-মাধ্যমিক কম্পিউটার সায়েন্স সিলেবাস ২০২২ : কমানো অংশ
Computer Science
Command Line Arguments in C Programming
I/O File Handling in C ( Text files and Binary files ) Concept of File Pointer, Modes of opening in file, Use of functions
Database Management System Normalization – Definition, Different Normal Forms ( Normalizing a Relation upto 3NF)
মডার্ন কম্পিউটার অ্যাপ্লিকেশন সিলেবাস ২০২২ : কমানো অংশ
Modern Computer Applications
Networking : LAN ,WAN protocols
Database Management System : Introduction to DBMS : DDL,DCL,DML . ER model , Relational Model – Database constraints , Relational Algebra & SQL
MS Access
মিউজিক সিলেবাস ২০২২
Music
কোনো অংশ বাদ যাবে না।
উচ্চ-মাধ্যমিক পুষ্টিবিজ্ঞান সিলেবাস ২০২২ : কমানো অংশ
Nutrition
Dietetics & Diet planning : Preparation of simple therapeutic diets Methods of Food preservation
Nutrition for the Community : Nutrition Education for the community including cooking demonstrations
Methods of survey of food consumption and food habits in families
উচ্চ-মাধ্যমিক পদার্থবিদ্যা সিলেবাস ২০২২ : কোন অংশ পরীক্ষা হবে
Physics
Unit-I : Electrostatics
Chapter-1 : Electric charges and Coulomb’s Law :
Electric Charges; conservation of charges, Coulomb’s law-force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution.
Chapter-2 : Electric field and Gauss’s Theorem
Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole; torque on a electric dipole in uniform electric field.
Electric flux, statement of Guess’s theorem and its applications to find field due to infinitely long straight wire and uniformly charged infinite plane sheet.
Chapter-3 : Electrostatic potential
Electrostatic potential, potential difference, relation between electric field and potential, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, electric potential energy of a system of two point charges and of electric dipole in an electrostatic field.
Chapter-4 : Capacitors and Dielectrics
Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation, 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.
Unit -II : Current Electricity
Chapter-1 : Electric Current and Electric cell
Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current
Ohm’s law, electrical resistance, 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 E.M.F. of a cell, combination of cells in series and in parallel
Chapter-2 : Electric network rules and electrical measurements
Kirchhof’s laws and simple applications. Wheatstone bridge and metre bridge.
Potentiometer ; principle and it’s applications to measure potential difference and for comparing e.m.f. of two cells, measurement of internal resistance of a cell.
Unit – III : Magnetic effect of current and Magnetism
Chapter-1 : Concept and laws of magnetic field.
Concept of magnetic field, Orested ‘s experiment. Biot-Savart law and it’s application to current carrying circular loop.
Ampere’s law and it’s applications to infinitely long straight wire, straight and toroidal solenoids.
Chapter-2 : Force on a Charge and current
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; moving coil galvanometer-its current sensitivity and conversion to ammeter and voltmeter.
Chapter-3 : Magnetic Dipole and Earth ‘s Magnetism
Current loop as a magnetic dipole and it’s magnetic dipole moment. Magnetic dipole moment of a resolving electron. Bar magnet as an equivalent solenoid, magnetic field lines; earth’s magnetic field and magnetic elements.
Unit- IV : Electromagnetic Induction and Alternating Currents.
Chapter-1 : Electromagnetic Induction
Electromagnetic Induction; Faraday’s law. Induced emf and current; Lens’s law, Eddy currents, Self and mutual inductance.
Chapter-2 : Alternating Current
Alternating currents, peak and RMS value of alternating current/voltage; reactance and impedance; LC oscillations( qualitative treatment only) ,LCR series circuit, resonance; power in AC circuits.
AC generator and transformer.
Unit-V : Electromagnetic waves
Chapter-1: Electromagnetic Waves
Electromagnetic waves and their characteristics (qualitative ideas only) .Transverse nature of electromagnetic waves.
Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses.
Unit –VI : Optics :-
Part A: Ray Optics and Optical Instrument
Chapter- 1: Refraction of light
Refraction of light, total internal reflection and it’s applications, optical fibres, 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.
Chapter-2 : Optical Instruments
Visual angle and magnifying power. Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers.
Part B :- Wave Optics:-
Chapter-1: Propagation principle of wave front
Wave front and Huygens’ 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.
Chapter-2: Interference of light
Interference, Young’s double slit experiment and expression for fringe width, coherent sources and sustained interference of light.
Chapter-3 : Diffraction of light
Diffraction due to a single slit, width of central maximum.
Unit-VII : Dual Nature of Matter and Radiation
Chapter-1 : Particles Nature of Radiation
Dual nature of radiation. Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation-particle nature of light.
Chapter-2 : Wave Nature of Matter
Matter waves:-wave nature of particles, de Broglie relation.
Unit – VIII : Atoms and Nuclei
Chapter-1 : Atoms
Alpha particle scattering experiment: Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum.
Chapter-2 : Nuclei
Composition and size of nucleus , Mass-energy relation , mass defect; binding energy per nucleon and it’s variation with mass number; nuclear fission and fusion.
Unit- IX : Electronic Devices
Chapter-1 : Band theory of solids
Energy bands in conductors , insulators and Semiconductors.
Chapter-2: Semiconductor
Electronics Semiconductor diode, I-V characteristics of diode in forward and reverse bias, diode ad a rectifier. Special purpose p-n junction diodes; LED, photodiode, solar cell and their Characteristics.
Psychology
Environment and Behavior
Identity Development
Statistics
Statistical Quality Control
Testing of Hypothesis
Sampling Theory
Health and Physical Education
কোনো অংশ বাদ যাবে না।
Home Management & Family Resource Management
Unit I: B (Decision Making)
Unit 2 : C (Work Simplification)
Visual Arts
কোনো অংশ বাদ যাবে না।
Accountancy
Death of a Partner
Accounting for Debenture
Financial Statement Analysis
Anthropology
Human Growth [ entire chapter ]
Society & Culture : Economic Anthropology : Definition, Basic concepts : production, distribution & consumption
Business Studies
Directing
Consumer Protection
Business Environment Financial Market
Costing and Taxation
Basic Concept of Overhead
Income from other sources
Cost of Material II
Commercial Law and Preliminaries of Auditing
The Law of Insurance
New Branches of Auditing
Economics
Factor Market
Equilibrium under Monopoly
Cost Determined Pricing
Determination of income and Employment
International Trade and Balance of Payment
Measures of Dispersion – Range -Standard Deviation -Lorenz Curve -Gini Coefficient
Fiscal Policy
Education
Group B : Educational provisions in Indian constitution related to women’s education, equalization of opportunity, education for minority, SC, ST
Group C : Education for the differently abled children
Environmental Studies
Chapter VI: Environment Management
Chapter VII :
Sub unit IV :Challenges for sustainable Development – social, political and economic considerations
Sub unit V : Support base for sustainable development
Sub unit VI : Role of National and International agencies
উচ্চ-মাধ্যমিক ইতিহাস সিলেবাস ২০২২ : কমানো অংশ
History
Situating Colonialism and imperialism in the 19m & 20tn centuries
Decolonisation
The Era of Cold War
Journalism & Mass Communication
Specialization in Reporting : Science, Political, Crime, Fashion, Financial and Agriculture – Journalism
Unit 10 – entirely omitted
উচ্চ-মাধ্যমিক গণিত সিলেবাস ২০২২ : কোন অংশ পরীক্ষা হবে
Mathematics
Unit-I : Relations and Function (8 marks)
1. Relations and Functions
Types of relations: reflexive, symmetric , transitive and equivalence relations. One to one and onto functions, composite functions , inverse of a function
2. Inverse Trigonometric Functions
Definition, range , domain , principal value branches
Unit-II: Algebra (11 marks)
1. Matrices:
Concept, notation order equality , types of matrices, zero matrix, transpose of a matrix and symmetric and skew symmetric matrices, Addition , multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations . Invertible matrices(Here all matrices will have real entries)
2. Determinants:
Determinants of a square matrix (upto 3 x 3 matrices), properties of determinants, minors and Cofactors and applications of determinants in finding the area of a triangle, Adjoint and inverse of a square matrix. Consistency, inconsistency and the number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solutions) using inverse of a matrix.
Unit-III : Calculus (35 marks)
1. Continuity and Differentability:
Continuity and differentiability, derivative of composite functions ,chain rule, derivatives of inverse trigonometric functions , derivative of implicit functions , concept of exponential and logarithmic functions to the base e . Logarithmic functions as inverse of exponential functions .
Derivatives of logarithmic and exponential functions . logarithmic, differentiation, derivative of function expressed in parametric forms. Second order derivatives
2. Applications of derivatives:
Applications of derivatives, increasing/ decreasing functions, tangents and normals, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as a real time situation)
3. Integrals:
Integration as inverse process of differentiation . Integration of a variety of functions by substitution by partial fractions and by parts, only simple integrals of the type to be evaluated. ….dx,dx
Fundamental theorem of Calculus (without proof) Basic properties of definite integrals and evaluation of definite integrals, evaluation of definite integrals.
4. Applications of the Integrals:
Applications in finding the area under simple curves especially lines, areas of circles/ parabola/ ellipse (in standard form only)
5. Differential Equations:
Definition, order and degree, general and particular solutions of a differential equation Formation of differential equation whose general solution is given.
Solution of differential equation by method of separation of variables , homogenius differential equation of first order and first degree.
UNIT-IV : Vectors and Three-Dimensional Geometry (13 marks)
1. Vectors:
Vectors and Scalars, magnitude and direction of a vector, Direction cosines/ ratios of vectors , types of vectors (equal, unit, zero, parallel and collinear vectors), Position vector of a point ,negative of a vector, components of a vector, addition of vectors, multiplication of vectors by a scalar, position vector of a point dividing a line segment in a given ratio, Scalar(dot) product of the vectors , projection of a vector on a line .Vector(cross) product of vectors .
2. Three-Dimensional Geometry :
Direction Cosines/ratios of a line joining two points, Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines, Cartesian and vector equation of a plane, Distance of a point from a plane.
UNIT-V : Linear Programming (5 marks)
1. Linear Programming
Introduction , Definition of related terminology such as constraints .objective function, optimization, different types of linear programming(L.P .) problems, graphical method of solution for problems in two variables feasible and infeasible regions, feasible and infeasible solutions , optimal feasible solutions ( upto three non-trivial constraints)
UNIT-VI: Probability (8 marks)
1. Probability :
Multiplication theorem on probability, Conditional probability, independent events, total probability, Baye’s Theorem , Random variable and its probability distribution .
উচ্চ-মাধ্যমিক দর্শন সিলেবাস ২০২২ : কমানো অংশ
Philosophy
i) Deductive Logic
Chapter-6 : Hypothetical and Disjunctive Syllogism – 4 mark
Chapter-7 : Boolean Interpretation & Venn Diagram – 4 mark
Chapter-8 : Truth Function – 5 mark
ii) Inductive Logic
Chapter-2 : Cause – 6 mark
Chapter-4 : Inductive Fallacies – 8 mark
Political Science
International Relations in the post-second World war period