I. English(For Science, Commerce and Arts candidates)
1. Kind of Sentence: Assertive, Imperative, Interrogative, Exclamatory and Optative.
2. Tenses: All Tenses, Formation and usage.
3. Narration: Assertive, Imperative and Interrogative, simple sentences only.
4. Questions based on unseen passage.
II. Social Sciences (For Commerce and Arts candidates)
1. Nationalism in Europe:
(a) The growth of Nationalism in Europe after the 1830s (b) The ideas of Giusepp Mazzini etc. (c) General characteristics of the movements in Poland, Hungry, Italy,Germany and Greece.
2. Nationalist movement in Indo-China:
Factors leading to growth of rationalism in India
(a) French colonialism in Indo China.
(b) Faces of struggle against the French.
(c) The ideas of plan Dinh phung, Phan Boi Chau, Nguen Ac Quoc.
(d) The second world war and the liberation struggle.
(e) America and the second Indo China war.
3. Nationalism in India:
Civil Disobedience Movements.
(a) First world war, Khilafat and non-cooperation
(b) Salt Satyagrah.
(c) Movements of peasants, workers, tribals.
(d) Activities of different political groups.
4. Industrialization 1850s – 1950: (a) contract between the form of industrialization in Britian and India. (b) Relationship between Handicraft and industrial production, formal and informal sectors. (c) livelihood of workers, case studies: Britian and India.
5. Urbanization and urban lives: (a) Patterns of urbanization (b) Migration and the growth of towns (c) Social change and urban life (d) merchants, middle classes, workers and urban poor.
Case studies: London and Bombay in the 19th and 20th century.
6. Trade and Globalization: (a) Expansion and integration of the world market in the 19th and early 20th century. (b) Trade and economy between the two wars (c) Shift after the 1950s (d) Implications of Globalization for livelihood patters. Case study: The post War International Economic order, 1945 to 1960s Sub-unit 1.3: Culture, identity and society.
7. Print culture and nationalism (a) The history of print in Europe (b) The growth of press in 19th century India (c) Relationship between print culture, public debate and
politics.
8. History of the novel: (a) Emergence of the novel as a genre in the west (b) The relationship between the novel and changes in modern society (c) Early novels in 19th century India. (d) A study of two or three major writers.
Unit 2: India – Resources and their development
1. Resources: Types- Natural and Human: Need for Resource planning.
2. Natural Resources: Land as a resource, soil types and distribution: Changing land use pattern: Land degradation and conversation measures
3. Forest and Wild Life Resources: Types and distribution, deplation of flora and fauna: Conversation and protection of forest and wild life.
4. Agriculture: Types of farming, major crops, cropping patters, technological and institutional reforms: There impact: Contribution and agriculture to national economy-employment and output.
5. Water Resources: Sources, distribution, utilization, multi purpose projects, water scarcity, need for conservation and management, rain water harvesting. (One case study to be introduced)
6. Mineral Resources: Types of minerals, distribution, use and economic importance of minerals, conservation.
7. Power Resources: Types of power resources, conventional and non-conventional, distribution and utilization and conservation.
8. Manufacturing Industries: Types, spatial distribution, contribution of industries to national economy, industrial pollution and degradation of environment measures to control degradation. (One case study to be introduced)
9. Transport, Communication and Trade.
Unit 3: Democratic Politics II
1. Power sharing mechanism in democracy Why and how is power shared in democracies? How has federal division of power in India helped nation unity? To what extent has helped national unity? To what extent has decentralization achieved this objective? How does democracy accommodate different social groups?
2. Working of Democracy Are divisions inherent to the working of democracy? What has been the effect of case on politics and of politics? How has the gender division shaped politics? How do communal division affect democracy?
3. Competition and Contestations in Democracy How do struggle shape democracy in favour of ordinary people? What role do political parties play in competition and contestation? Which are the major national and regional parties in India? Why have social movements come to occupy large role in politics?
4. Outcome of Democracy Can or should democracy be judged by its outcome? What outcome can one reasonably expect of democracies? Does democracy in India meet these expectation? Has democracy led to development, security and dignity for the people? What sustains democracy in India?
5. Challenges to Democracy Is the idea of democracy shrinking? What are the idea of democracy in India? How can democracy be reformed and deepened? What role can an ordinary play in deepening democracy?
Unit 4: Understanding Economics
1. The story of development: The traditional notion of development National Income and Per-capita income. Growth of NI- critical appraisal of existing development indicators (PCI, IMR, SR and other income and health indicators) The need for health and educational development: Human development indicators (in simple and brief as a holistic measure of development).
The approach to this theme: use case study of three states (Kerala, Punjab and Bihar) or take a few countries (India, China, Sri Lanka and one developed country)
2. The Role of Service Sector in Indian Economy: what is service sector (though examples): Importance of Service Sector in generating employment and income to the nation (with the help of few case studies): growth of Service Sector in India: India as a major service provider to the world: The need for public investment: the role of important infrastructure, education and health.
3. Money and Financial System: Role of money in an economy: Historical Origin: Formal and Informal Financial Institutions for saving and credit general introduction: Select one formal institution such as nationalize commercial bank and a few informal institution: local money lenders, landlords, self help groups, chit fund and private finance companies.
4. Globalization: What is Globalization (through some simple examples): How India is being globalized and Why: Development strategy prior to 1991: Estate control of industries: Textile goods as an example of elaboration: Economic reforms 1991: Strategies adopted in reform measures (easing of capital flows: migration, investment flows): Political impact of globalization.
5. Consumer Awareness: How consumer is exploited (one or two simple case studies) factors causing exploitation of consumers: rise of consumer awareness: How a consumer should be in a market: Role of government in consumer protection.
III. Science & Technology (For Science candidates)
Unit – I : Chemical Substances – Nature and behaviour
Acids, bases and salt: General properties, examples and uses, concept of PH scale, importance of PH in every day life: Preparation and uses of sodium Hydroxide, Bleaching powder, baking soda and Plaster of Paris.
Chemical reactions: Chemical equation, types of chemical reaction: combination, decomposition, displacement, double displacement, precipitation, neutralization, oxidation and reduction in terms of gain and loss of oxygen and hydrogen. Metals and Non-metals: General properties of metal and non-metals, reactivity series, formation and properties of ionic compounds, basic metallurgical processes, corrosion and its prevention.
Carbon compounds : Covalent bonding in carbon compounds. Versatile nature of carbon. No menclature of carbon compounds, functional groups, difference between saturated hydro carbons and unsaturated hydro carbons, ethanol and ethanoic acid (only properties and uses) Soap and detergent
Periodic classification of elements : Modern periodic table, gradation in properties.
Unit 2: World of living
Life process : “living” things: Basic concept of nutrition, respiration, transport and excretion in plants and animals.
Control and co-ordination in animals and plants: Tropic movements in plants: Introduction in plants hormones: Control and co-ordination in animals: voluntary, in voluntary and reflex action, nervous system: Chemical co-ordination: animal hormones. Reproduction: reproduction in animal and plants (asexual and sexual). Need for and method of family planning safe sex vs HIV / AIDS. Child bearing and women’s health. Heredity and evolution: Heredity; Origin of life: brief introduction; Basic of evolution.
Unit 3: Effects of Current
Potential difference and electric current, Ohm’s law; resistance, Factor on which the resistance of a conductor depends. Series combination of resistors, parallel combination of resistors; heating effect, of electric power, Inter relation between P, V, Land R. Magnets: Magnetic field, field lines, field due to a current carrying wire, field due to current carrying coil or solenoid; Force on current carrying conductor, Fleming’s left hand rule. Electro magnetic induction. Induced potential difference, Induced current Fleming’s Right Hand Rule, Direct current, Alternating current; Frequency of AC. Advantage of AC over DC. Domestic electric circuits.
Unit 4:
Reflection of light at curved surfaces, Images formed by spherical mirrors, centre of curvature, principal axis, principal focus, focus length, mirror formula (Derivation not required), Magnification. Refraction; Laws of refraction, refractive index. Refraction of light by spherical lens, Images formed by spherical lenses. Lens formula (Derivation not required). Magnification. Power of a lens; Functioning of a lens in human eye, problems of vision and remedies, application of spherical mirrors and lenses.
Unit 5:
Conservation of natural resources : Management of natural resources; conservation and judicious use of natural resources. Forest and wild life, coal and petroleum conservation examples of peoples participation for conservation of natural resources. The Regional Environment: Big Dams: advantages and limitation; alternatives if any water harvesting. Sustainability of natural resources.
Sources of Energy: Different forms of energy, conventional and non-conventional sources of energy: fossil fuels. Solar energy; Biogas; wind, water and tidal energy; nuclear, renewable versus non-renewable sources. Our environment: Eco – system, Environment problems, their solution, biodegradable and non – biodegradable, substances ozone depletion.
IV. Mathematics (For Science candidates)
Unit – I : NUMBER SYSTEMS
1. REAL NUMBERS
2. Euclid’s division lemma, Fundamental Theorem of Arithmetic – statement after reviewing work done earlier and after illustrating and motivating through examples, proofs of results- irrationality of √2, 3√, 5√, decimal expansions of rational numbers in terms of terminating / non – terminating recurring decimals.
Unit II : ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial. Relationship between zeros and coefficients of a polynomial with particular reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Pair of linear equation in two variables. Geometric representation of different possibilities of solutions/ inconsistency. Algebraic condition for number of solutions. Solution of pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication. Simple situational problems must be included. Simple problems on equation reducible to linear equation may be included.
3. QUADRATIC EQUATIONS
Standard form of a quadratic equation ax2 + bx + c=0, (a#0). Solution of the Quadratic equations (only real roots) by factorization and by completing the square, i.e. by using quadratic formula. Relationship between discriminate and nature of roots. Problem related to day to day activities to be incorporated.
4. ARITHMETIC PROGRESSION
Motivation of studying AP. Derivation of standard results of finding the nth term and sum of first n terms.
UNIT III: TRIGONOMETRY
1. INTRODUCTION TO TRIGONOMETRY
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined 0o and 90o. Values (with proofs) of the trigonometric ratios of 30o, 45o, and 60o. Relationship between the ratios.
2. TRIGNOMETRIC IDENTIES
Proof and applications of the identity sin2 A + cos2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
3. HEIGHT AND DISTANCES
Simple and believable problems on height and distance. Problems should not involve more than two right triangles of elevation / depression should be only 30o, 45o, 60o,
UNIT IV : COORDINATE GEOMETRY
1. LINES (In two-dimension)
Review the concept of coordination geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.
UNIT V : GEOMETRY
Triangles Definition, Examples, Counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to interest the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4. (Motivate) If the corresponding sides of the triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangle on each side of the perpendicular are similar to
the whole triangle and to each other.
7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on the other two sides.
8. (Prove) In a right triangle, the Square on the sum of the squares on the other two sides.
9. (Prove) In a triangle, of the square on one side is equal to sum of the squats on the other two sides, the angles opposite to the first side is a right triangle.
2. CIRCLES
Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
1. Division of a line segment in a given ratio (internally)
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.
3. CONSTRUCTIONS
1. Division of line segment in a given ratio (internally)
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.
Unit VI: MENSURATION
1. Motivate the area of a circles; area of sector and segment of circle. Problems based on areas and perimeter/ circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60, 90 & 120 only. Plane figures involving triangles, simple quadrilaterals and circle should be taken)
2. SURFACE AREAS AND VOLUMES
(i) Problems on finding surface areas And volumes of combination of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/ cones. Frustum of a cone.
(ii) Problems involving converting one type of metallic solid into another and other mixed problems, (Problems with combination of not more than two different solids
be taken.)
Unit VII : STATISTICS AND PROBABILITY
1. STATISTICS
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
2. PROBABILITY
Classical definition of probability. Connection with probability as given in Class IX. Simple problems on single events, not using set notation.
V. Elementary Mathematics (For Commerce candidates)
1. Square and Square roots of numbers including numbers in decimal forms, Cubes and cube roots of numbers.
2. Exponents and Radicals. Positive as well as negative rational numbers as exponents. Laws of exponents for rational numbers.
3. Algebraic expressions, multiplication and division of algebraic expressions.
4. Equation, Solution of a algebraic equation in one variable, application of equations to solve problems simple interest, profit and loss.
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