October 2014 ~ Kumaun University Nainital

13th Convocation of Kumaun University

Prof. H.S. Dhami and Governor of Uttrakhand Dr. K.K. Pal During 13th Convocation of Kumaun University on 21th of October 2016

19th International Conference of Physical Sciences

19th international conference of physical sciences and Symposium on fixed point theory and dynamical systems in DSB Campus Nainital

Arts Department of DSB Campus

Established in 1973, Kumaun University consists of three campuses at Almora , Nainital and Bhimtal. 35 affiliated government colleges spread across the Kumaun region.

View From top of the peak

Magnificent views can be obtain of the vast plain to the south, or of the mass of tangled ridges lying north, bounded by the great snowy range which forms the central axis of the Himalayas.

Wednesday, 29 October 2014

Syllabus of History for B.A. III year



Note: For the Students taken admission after 2015-16


Paper I : History of India from A.D. 1761-1950 (75 Marks)

Unit I : 1. Expansion and consolidation of British Empire. (a) Tools of expansion: War and diplomacy- Bengal, Mysore, Marathas, North East, Rohillas, Awadh, Central India Sindh and Punjab; Subsidiary Alliance and Doctrine of Lapse.
2. Economic Changes: (a)  Permanent settlement, Raiyatwari and Mahalwari, condition of peasants and recurrent famines. (b) Commercialization of agriculture and its effects. (c) Decline of cottage industries and economic drain.
3. Popular Resistance of company's rule . (a) Peasant and tribal movements (b) Revolt of 1857: causes, nature and results. 

Unit: 2 National Movements: (a) Political associations and the INC: Moderates and Extremists (b) Emerging commercial trends. (c) Impact of the First World War. (d) Rise of Gandhi and the nature of Gandhian movements. (e) Revolutionary, peasants and depressed class movements. (f) Indian polity (1939-45) and the quit India movement (g) Subhash Chandra Bose and the INA (h) Communal politics and Partition. (i) India, 1947-1950: Integration of the Indian states.




Paper II (a) : Indian Society and Culture through the Ages –(75 Marks)
 

Unit I 
1. Harappan Culture
2. Society, economy, culture and religion as reflected in Vedic Literature 
3. Social developments Vanashram, Jati, Marriage, Sanskaras & Purusharths
4. Rise of new religious movements in North India. Doctrines & Social dimension of early Buddhism & Jainism 
5. Asoka's dhamma-its nature and propagation, Mauryat, art and Architecture
6. The Shungas, Kushanas and Satavahanas. Kushana (Mathura and Gandhar) art and architecture.
7. Sangam Age- literature, society and culture. 8. The Gupta Age-Society and Culture. 9. Post-Gupta up to 1200 A.D. : Society and Culture. 

Unit : 2
1. Medieval Society, art, architecture and literature.
2. Status of women:  marriage, property rights, Sati, purdah and devadsi system.
3. Bhakti and Sufi movements.
4. Influence of Islam on Indian culture. 

Unit : 3 
1. Social change: Spread of western education, rise of professional classes and the emerging
intelligentsia.
2. Growth of press: English and in Indian languages.
3. Indian Renaissance and Socio-religious movements: Brahma Samaj, Arya Samaj, Prathana Samaj, Ramkrishana Mission, Theosophical Society, Aligarh, Wahabi and Depressed class movements.
4. Status of women.
5. Impact of west of Indian society and cultures




PAPER-II (b) : ANCIENT INDIAN ART AND ARCHITECTURE (From 6th Century B.C. to 12th CenturyA.D.)  (Marks 50) 

A. Ancient Indian Art : 1. Mauryan 2. Shunga 3. Kushana 4. Gupta 
B. Ancient Indian Architecture : 1. Origin and development of stupa architecture.
2. General study of stupas at Bharahut and Sanchi
3. Origin and devlopment of temple architecture.
4. General study of following temple : (a) Deogarh (b) Konark (c) Khajuraho (d) Mahabalipuram (e) Tanjore 




PRACTICAL (25 Marks) 
 
1.Identification of Maurya, Sunga and Kushana Sculptures from various parts of India.
2. Identification of Bharhut and Sanchi Stupa and its various architectural parts
3. Identification of Deograh, Konark, Khajuraho, Mahabalipuram and Tanjore temples. 4.Plotting of the Maurya Sunga and Kushana art sites in the map of India 5. Plotting of temples and stupa sites mentioned in the syllabus in the map India 


PDF of History Syllabus of B.A. III year of Kumaun University

Source : Kumaun University

Syllabus of History for B.A. II year


Note: For the Students taken admission after 2015-16


Paper I: History of lndia from  AD 1200- 1760 (75 Marks)

Unit 1: Survey of Sources of Medieval Indian History
Unit 2: Early Medieval period (Al) 1200-1526)
1. Causes of the success of the Turks: Foundation and consolidation of the
Sultanate: Mamluk:Iltuttmish, Razia,Balban and Mongol invasions.
2. Expansion: (a) Allauddin Khalji-conquests, economic administrative and
economic reforms (b) Tughlaqs-Mohammad-bin-Tughlaq’s plans and Feroz
Shah Tughlaq reforms and administration
3. Decline of Sultanate: (a) Timur’s invasion (b)Lodhis: Theory of Kingship

Unit 3: Advent of the Mughals (AD 1526-1760)
1 Babar: conquest, Humayun : difficulties and failure
2.Second Afgan Empire. Sher Shah administrative reforms
3.Akbar: Religious and Rajput policy and his estimate Jahangir: Role of Noorjahan and character,  Shahjahan: War of succession, Aurangzeb: religious policy-
4.Mughal Empire 1707 relation with Rajputs, Sikhs, Deccan Kingdom, Marathas, Persia and Central Asia.
5.Mughal administration and institution: administrative structure-, land revenue system, Mansabdari and Jagirdari
6. Decline and disintegration of the Mughal Empire.

Unit 4: Peninsular India: Bahmani, Vijaynagar, Marathas and Tamil Kingdom: Polity and Administration.







Paper II (a) World History front 1815 to 1945  (75 Marks)

1. Age of Conservatism: Vienna Congress, Era of Metternich, Concert of Europe, French Revolutions of 1830 and 1848 .
2. Opium war of China and its awakening
3. Liberalism in England, American civil war.
4. Nationalism in Europe (i) Ideology of Nationalism (ii) Germany and Italy.
5. Rise of New Imperialism. Causes of First World War and peace Settlements
6. Russian Revolution (1917) :Causes and impact.
7. Economic and Social crisis in the inter-war years and emergence, of new ideologies: Nazism and Fascism.
8. Awakening of China and communist movements.
9. Emergence of USA and Japan as a world power after the First World War.
10. Second World War: Causes and results.



Paper - II(b) Historical Archaeology in India (from 6th Cetury B.C. to 12th Century A.D.) (Marks : 50)

Note : Only for regular students of S.S.J. Campus Almora,
1- Aims and Scope of Archaeology.
2- Methods of Stratigraphy.
3- Salient Features of following historical sites : a) Arikamedu   b) Brahmgiri  c) Sisupalgarh d) Hastinapur  e) Kausambi   f) Taxila   g) Sanchi   h) Moradhwaj



PRACTICAL (Marks: 25)
1- Identification of building remains, Pottery and other important material from Arikamedu.
2- Identification of Megalithic burials and Black and Red ware.
3- Identification of building remains, Pottery and other minor antiquities from Hastinapur.
4- Identification of building remains; Pottery and other important finds form Taxila.
5- Identification of building remains, Pottery and other minor antiquities from Moradhwaj.
6- Plotting of the archaeological sites mentioned in the syllabus in map.
7- Identification of punch Marked coins, Tribal Coins (Kuninda and Yaudheya coins) and Rummindei Pillar Inscription of Asoka.


PDF of History Syllabus of B.A. II year of Kumaun University

Source : Kumaun University

Syllabus of History for B.A. I year

syllabus of BA i year history for kumaun university



Note: For the Students taken admission after 2015-16


Paper I : History of India Up to  A.D. 1200 (75 Marks)

Unit 1: Meaning of History, Scope and Sources.

Unit 2: Prehistoric period:Prehistoric hunter-gatherers: Paleolithic Mesolithic, Neolithic and Chalcolithic culture.

Unit 3: Proto-historic period :
  1. The Harappan civilization: Outline of Chalcolithic period, pattern in non-Harappan India.
  2. Iron Age culture in India: Megaliths in the Deccan, Far South and North. 
  3. Rise of territorial stales: Vedic, Mahajanapadas and rise of Magadha empire up to Mauryas.
Unit 4: The Mauryan and Post- Mauryan period: The Mauryas : State, administration. Post-Mauryan period: Sungas, Western Kshatrapas, Satavahanas,Kushanas, Cheras, Chola and Pandyas in the far South.

Unit 5: The Gupta and Post-Gupta period :
  1.  Administration, agrarian and revenue systems
  2.  Post-Gupta period upto 750 A D Pallavas, Chalukyas and Vardhanas.
Unit 6: Polity and administration (A.D. 750-1200) :
  1. North India: Gurjara-Pratiharas, Palas and Senas.
  2. Deccan: Rashtrakutas and their contemporaries. 
  3. South India: Cholas and their contemporaries, relation with south East Asia.  
  4. Invasions of the Arabs, Ghaznavids and Ghorids and their impact.

Paper II (a) World History from Mid 15th century to 1814 A.D. (75 Marks)

1. Decline of Feudalism and the rise of the modern era-Renaissance and Reformation.
2. Economic origins of the modern western world: Mercantilism and commercial Revolution.
3. Rise of the Absolutist State: France, Spain and Britain.
4. Scientific Revolution, Agricultural Revolution and Industrial Revolution.
5. Glorious Revolution (1688)
6. American Revolution (1776)
7. French Revolution (1789)
8. Napoleon Bonaparte

Paper II (b) : ARCHAEOLOGY OF INDIA (From Indus valley Civilization to 6th Century B.C.)

Note: Only for Regular Student of S.S.J. Campus, Almora (50 Marks)

1- Definition of Archaeology.
2- Archaeology : Its relation with other sciences
3- Salient features of Indus Valley Civilization.
4-Late Harappan Cultures in Central India and Rajasthan.
5-Copper Hoards Culture.
6-Painted Grey Ware (PGW) Culture.
7-Northern Black Polished Ware (NBPW) Culture.


Practical: (25 marks)
1- Identification of Harappan building remains, Pottery Seals and symbols copper and Bronze Objects, Sculptures and Terracotta Objects.
2- Plotting of Indus Valley sites in the Map.
3- Identification of Late Harappan Pottery.
4- Plotting of Late Harappan Site in Map.
5- Identification of Chalcolithic Pottery in Map.
6- Identification of painted Grey Ware (PGW) and its associated wares.
7- Plotting of Painted Grey Ware in Map.
8- Identification of Northern Black Polished Ware (NBPW) and its associated wares.


PDF of History Syllabus of B.A. I year of Kumaun University

Source : Kumaun University

Monday, 27 October 2014

Syllabus of Ecomonics for B.A. III year

Syllabus of Ecomonics for B.A. III year in Kumaun university


Note: For the Students taken admission after 2015-16

Paper I : STRUCTURE AND PROBLEMS OF INDIAN ECONOMY  
M.M. 75  

Indian Economy - A Historical Perspective. Features of the Indian Economy., National Income
of India. Human Resources and Economic Development. Demographic Profile of India. Human
Resource Development in India : Human Development Index and Policies. Natural Resources,
Economic Development and Environmental Degradation in India.

Indian Agriculture:  Role,  Nature,  Cropping Pattern,  Production and  Productivity Trends.
Agricultural  Holdings  and  Land  Reforms.  Agricultural  Labour.  Agricultural  Inputs  and  Green
Revolution. Farm Size and Efficiency. Rural Indebtedness. Agricultural Finance. Marketing of
Agricultural Produce. Agricultural Prices and Agricultural Price Policy. Cooperative Movement
in India. Food Security and the Public Distribution System.

Industrial Growth in India - Structure, Performance and Problems. Small and Cottage Industries.
Public Sector  and Private Sector. Industrial  Policy in India. Industrial Finance. Monopoly  and
Concentration. Industrial Sickness in India. Industrial Labour. Labour Relations, Social Security
and Exit Policy.

India’s Foreign Trade :  Trends in Value, Composition and Direction. India’s Balance of
Payments.  Foreign  Capital  and  Multinational Corporations. Foreign Trade  Policy.  Current
Export-Import Policy. GATT, WTO and India’s Foreign Trade. Globalization and Liberalization.
TRIPS  and  TRIMS.  Foreign  Direct  Investment.  Infrastructure  in  the  Indian  Economy.  Private
Investment in Infrastructure. Transport and Economic Development.

The Problem  of Unemployment.   Employment  and  Population Policies  since  1991.  Various
Programmes  - Employment  Programmes,  Area  Development  Programmes,  Minimum  Needs
Programme. Peoples Participation.


Recommended Reading: ( Latest Editions ) :


1.  Agrawal,  A.N.  : Indian Economy,  Wishwa  Prakashan,  New  age  International.
2. Misra, S. K. & V. K.Puri : Indian Economy.
3. Ruddar Datt & K. M..P. Sundharam: Indian Economy, S. Chand, New Delhi.
4. Bimal Jalan : Problems of Indian Economy.
6. Parekh, K.S. : India Development Report.
7. Dutt, R. (ed.) : Second Generation Economic Reforms in India.




Paper II : ECONOMIC DEVELOPMENT AND PLANNING
M.M. 75


Economic  Development  and  Economic Growth. Characteristics of  Underdevelopment. Determinants  of  Economic  Growth.  Obstacles  to Economic  Growth.  Measuring  Development and  Development  Gap – Per  Capita  Income,  Inequality  of Income and  Wealth.  Human Development  Index  and  other  Indices  of  Development.  Concept  of  Poverty.  Human  Resource Development. Theory of Demographic Transition.

Growth and Development Models – Schumpeter, Rostow, Harrod and Domar. Vicious Circle of Poverty,  Unlimited  Supply  of  Labour, Balanced  and  Unbalanced  Growth,  Critical  Minimum Effort Thesis.

Economic  Planning:  Meaning, Objectives,  Features,  Types  and  Conditions for Successful Planning. Investment Criteria.  Planning for Social Infrastructure. Planning for Human Resource Development. Environment –  Economy  Linkage.  Population  - Environment  Linkage. Environment as a Public Good. The Commons Problem. Valuation of Environmental Damages. Land, Water, Air and Forest.

Planning in India : Objectives, Achievements and Failures, Strategy. Planning Commission. Plan Formulation and Implementation. Mobilization   of Resources. Detailed Study of the Current and last  Two Five Year  Plans. Evaluation of the Plans – Sectoral  Outlays, Financing, Targets  and Achievements.  Strategy  and Policies  for  Decentralization.  Decentralized  Planning.  Multilevel Planning. People’s Participation in Planning.

Regional Economics:  Concept, Meaning and Significance of Regional Development. Problems of  Regional  Development.  Regional  Disparities:  Concept  and  Indicators.  Causes  of  Economic Backwardness and Regional Imbalances.   The Economy of Uttaranchal : Geographical   Features, Natural  Features,  Natural  Resources,  Land  Types,  Land  Use,  Soil  Erosion  and  Conservation; Forest Resources; Energy Resources; Horticulture;  Agriculture;  Human Resources – Demographic  Profile,  Employment and  Unemployment,  Migration,  Women in the  Rural Economy;  Industrial  Development;  Tourism;  Prospects  and  Policies  for  Development  of  the Economy


 Recommended Reading: ( Latest Editions ) :

  1.  Ghatak, S.: An Introduction to Development Economics.

  2. Higgins, B. : Economic Development.

  3.  Thirwal, A.P. : Growth and Development.

  4.  Todaro, M.P.: Development Planning: Models and Methods.

  5.  Seth, M.L.: Economic Planning: Theory and Practice.

  6. Hoover, E.M.: An Introduction to Regional Economics.

  7. Richardson, H.W.: Regional Economics.

  8. Dhar,T.N. and S.P.Gupta: Uttaranchal: A Study.


PDF of Economics Syllabus of B.A. III year of Kumaun University

Source : Kumaun University

Syllabus of Ecomonics for B.A. II year

Syllabus of Ecomonics for B.A. II year in Kumaun university


Note: For the Students taken admission after 2015-16

Paper I : MACRO-ECONOMICS AND PUBLIC FINANCE
M.M. 75



Macro-economics : Meaning, Nature, Scope, Importance and Limitations. Types of Macroeconomics.
Basic Concepts of Macroeconomics. Output and Expenditure Flows.
National Income : Meaning, Measurement and Importance.

Classical Theory of Employment : Say’s Law of Markets and Keynes’s Theory of Employment.
Aggregate Demand and Aggregate Supply Functions. The Principle of Effective Demand. Consumption
Function. Average and Marginal Propensity to Consume. Factors Influencing Consumption Spending.
Keynesian Economics and Developing Countries.

Public Finance : Meaning, Nature, Scope, Role and Importance. Principle of Maximum Social Advantage.
Public Expenditure : Meaning, Scope, reason & Canon, Aims and Objects, Classification, Principles and
Importance. Effects of Public Expenditure.

Public Revenue : Meaning, Sources and Classification. Taxation : Meaning, Characteristics, Objectives,
Canons and Elements of a Good Tax System. Kinds of Taxes. Principles of Taxation. Impact, Incidence
and Shifting of Taxes. Taxable Capacity. Effects of Taxation.

Public Debt : Meaning, Objectives and Sources. Effects and Burden of Public Debt. Methods of Debt
Redemption. Role of Public Debt in Developing Countries. Management of Public Debt. Deficit
Financing. Fiscal Policy : Meaning, Objectives in a developing Economy.


Recommended Reading: ( Latest  Editions ) :

1. Dewett, K.K. : Modern Economic Theory.
2. Sethi, T.T. : Macro Arthashastra.
3. Seth, M.L. : Macro Economics.
4. Mithani, D.M. : Macro Economics.
5. Ackley, G. : Macroeconomics: Theory and Policy.
6. Schapiro, E. : Macroeconomic Analysis.
7. Mithani, D.M. : Modern Public Finance.
8. Andley, K.K. and Sundharam, K.M.P. : Public Finance and Public Economics.







Paper II : MONEY, BANKING AND INTERNATIONAL TRADE

M.M. 75


Nature, Functions, Significance and Classification of Money. Role of Money in Capitalist, Socialist and Mixed Economies. Monetary Standards. Gresham’s Law. Systems of Note Issue.

Supply of and Demand for Money. The Quantity Theory of Money. Income Theory of Money.
Keynes’ Theory of Money and Prices. Value of Money and its Measurement. Inflation and Deflation – Definition, Types, Causes and Effects on Different Sectors. Phases of Trade Cycle, Contra-cyclical Policies. Trade-off between Inflation and Unemployment.

Financial Markets: Money and Capital Markets. Commercial Banking : Meaning, Functions, 
Credit Creation – Process, Purpose and Limitations. Recent Reforms in Banking Sector in India. Central Banking : Meaning, Necessity, Principles, Comparison and Functions. Objectives and Methods of Credit Control. Role and Functions of the Reserve Bank of India. Monetary Management in India.

Inter-regional and International Trade. Classical and Modern Theories of International Trade : Theory of Absolute Advantage, Theory of Comparative Advantage, Heckscher-Ohlin Theory. Gains from Trade. Balance of Payments and Balance of Trade. Disequilibrium in the Balance of Payments: Causes and Correction.

Rate of Exchange. Theories of Exchange Rate Determination. Fixed vs. Flexible Exchange Rates. Exchange Control. Free Trade vs. Protection. International Monetary Fund. World Bank. GATT/WTO. Recent Changes in the Composition and Direction of India’s Foreign Trade. Need for and Rationale of Trade Reforms in India (including partial and full convertibility of rupee). Instruments of Export Promotion. India’s Foreign Trade Policy Since 1991.



Recommended Reading: ( Latest  Editions ) :

1. Ackley, G. : Macroeconomics: Theory and Policy.
2. Kindleberger, C.P. : International Economics.
3. Sodersten, Bo : International Economics. 

Syllabus of Econmonics for B.A. I year

Syllabus of Ecomonics for B.A. I year in Kumaun university

Note: For the Students taken admission after 2015-16


Paper I  : MICRO-ECONOMICS 
M.M. 75  



Definition, Nature, Scope and Methods of Economics. Equilibrium : Partial and General, Static
and Dynamic. Micro and Macro Economics. Welfare Economics.

Theory of Demand : Utility Analysis of Demand. Indifference Curve Analysis of Demand.
Consumer’s Equilibrium (Hicks and Slutsky). Giffen Goods. Applications of Indifference Curve Technique. Revealed Preference Theory. Elasticity of Demand. Consumer's Surplus.

Theory of Production : Returns to a Variable Factor. Production Possibility Curve.
Production Function : Isoquants, Fixed Proportions and Variable Proportions Production Functions, Linear
Homogeneous Production Functions. Returns to Scale. Optimum Factor Combination and
Product Mix. Cost of Production and Cost Curves. Supply.

Theory of Product Pricing : Market Structures and Revenue Curves. General Analysis of the Objectives and Equilibrium of the Firm. Perfect Competition. Monopoly and Price Discrimination. Monopolistic Competition. Duopoly. Simple Oligopoly.

Theory of Factor Pricing : Marginal Productivity Theory of Distribution. Theories of Wage Determination. Collective Bargaining and Wages. Wage Differentials. Theory of Rent – Scarcity Rent, Differential Rent, Quasi Rent.. Theory of Interest – Classical and Keynesian Theories. Theory of Profits – Innovation, Risk and Uncertainty Theories.

Recommended Reading : ( Latest Editions ) :

1. Ahuja, H.L.: Arthic Sidthant, S. Chand, New Delhi.
2. Samuelson and Nordhas, Economics.
3. Walton, G., Price Theory and its Uses.
4. Stonier and Hague, A Textbook of Economic Theory.
5. Lipsey, R.G., An Introduction to Positive Economics.





Paper II : BASIC QUANTITATIVE METHODS FOR ECONOMICS 
M.M. 75 

Note: Elementary Quantitative concepts with illustration from Economics with the help of
graph and equations where ever possible. Proof of theorems is not expected.


Definition, Scope Importance and Limitations of Statistics. Techniques of Data Collection. Classification and Tabulation of Data. Diagrammatic and Graphic Representation of Data. Measures of Central Tendency: Arithmetic Mean, Median, Mode. Geometric Mean. Harmonic Mean.

Measures of Dispersion: Mean Deviation. Standard Deviation. Coefficient of Variation. Quartile Deviation. Coefficient of Skew ness – Karl Pearson’s and Bow ley’s Method. Simple Correlation .

Variables, Sets, Functions, Identities, Linear Equations in one Unknown. Simultaneous
Equations in two variables, Intercept and Slope. Use of Linear Functions in Economics.
Differentiation of a Function : Rules of Differentiation. Economic Applications of the Derivative. Maxima and Minima in one variable. Elementary Integral Calculus. Applications in Economics.

Matrices and Determinants ( not more than 3 column, 3 row case): Definition and order of a Matrix and Determinant. Properties. Addition, Subtraction and Multiplication of Matrices. Rules for Expansion. To Find Solution of Linear Equations with the help of Determinant, Cramer's Rule. Important Types of Matrices. Application of Matrices in Economics.

Recommended Reading: ( Latest Editions ) :

1. Mehta, B.C. & G.M.K.Madnani : Elementary Mathematics in Economics.
2. Zameeruddin, Qazi &V.K.Khanna : Mathematics in Commerce and Economics..
3. Mittal,S.N. & S.K. Mittal : Arthshastra mein Ganitiya Prayog.
4. Gupta, S.C. : Fundamentals of Statistics.
5. Singhal, Mohan : Elements of Statistics.
6. Yamane, Taro: Mathematics for Economists.
7. Allen, R.G.D. : Mathematical Analysis for Economists.
8. Veerachamy, R. : Quantitative Methods for Economists.


PDF of Economics Syllabus of B.A. I year of Kumaun University


Source : Kumaun University


Saturday, 25 October 2014

Syllabus of Mathematics for B.A. and B.Sc.III year

Syllabus of Mathematics for  B.A. and B.Sc.III year in Kumaun university


Click to download PDF of Proposed Syllabus for B. Sc. Semester program implemented from Session 2016-17 of Kumaun University for Mathematics



Paper-I : Linear Algebra and Linear Programming
M.M:50

Note: There shall be three sections A, B and C in this paper. Questions within all the three sections
shall carry equal marks. Section A will be compulsory and objective in nature having ten Questions. Marks allotted to this section shall be 10. Questions in section B will be short answer type of 20 marks. Candidates will have to attempt four out of eight questions selecting at least one question from both parts (viz. Linear Algebra and Linear Programming). Questions in section C will be of descriptive nature of 20 marks. Candidates will have to attempt any two out of four questions. The number of questions for framing of question paper shall be 80% from Linear Algebra, 20% from Linear Programming . The question paper be framed proportionately from the whole syllabus.


Linear Algebra Vector spaces: Vector space, sub spaces, Linear combinations, linear spans, Sums and direct sums, Linear dependence, Bases and dimensions, Dimensions and subspaces, Coordinates and change of bases.

Linear Transformations: Linear ransformations, rank and nullity, Operations with linear transformations, Linear operators, Algebra of linear operators, Invertible linear operators, Matrix of linear transformation, Matrices and linear transformation, Matrix of linear operator, Change of basis, similarity.

Linear Functional: Linear functional, Dual space and dual basis, Double dual space, Annihilators, Transpose of linear transformation, Bilinear, Quadratic and Hermitian forms, quadratic form.

Linear programming
Programming, Graphical Linear method, Simplex method, the dual of a linear programming problem.
                                   


Paper-II : Analysis
 M.M.: 50 


Real Analysis Continuity of functions, Properties of continuous functions, Types of discontinuities, Uniform continuity, Differentiability, Taylor's theorem with various forms of remainders, Riemann integral-definition and properties, Condition of integrability, Convergence and uniform convergence of improper integrals.
Point wise convergence, Uniform convergence, Test of uniform convergence, Convergence and uniform convergence of sequences and series of functions.


Complex Analysis
Functions of complex variable, Harmonic functions, Cauchy and Riemann equations, Analytic functions, Complex integration, Cauchy's theorem, Cauchy's integral formula, Taylor's series, Laurent's series, Liovelle’s theorem, Poles and singularities, Residues, Residue theorem and its applications in the evaluation of integrals.




Paper III:This paper shall consist of any one of the four options
M.M.: 50


               a)  Numerical Analysis
               b)  Mathematical Statistics
               c)   Spherical Trigonometry and Astronomy
               d)  Principal of Computer Science and Information Technology


Note-(1). The choice for selecting the optional paper will be subject to the approval of the Head of
Department, depending upon availability of resources and will be as per combinations available at the respective centers.

Note-(2).candidates offering Statistics as one of the optional subjects in B.A./ B.Sc. I& II shall not be allowed to offer paper III(a) and III(b).

Note-(3).   Simple Calculators (Non-Programmable) be allowed to the examinees during examination of paper III(a).

Note-(4).Note-(3) should invariably be printed as instruction in the question paper III(a).

Note-(5). Candidates offering Computer Science and Information Technology as one of the optional subject in B.A./B.Sc I &II shall not be allowed to offer paper III(d).

                                    


Paper-III (a) : Numerical Analysis(only this is available)


Finite difference, Difference operators, Newton's interpolation formula, divided differences, Interpolation with unequal interval of arguments, Lagrange’s formula, Sterling and Bessel formula (application only).

Numerical differentiation, Numerical integration, Simpson's rule, Trapezoidal rule and their accuracy, Numerical solution of algebraic equations in two unknown quantities, Regula Falsi, Newton Raphson, Graff's root squaring method. Numerical method of matrix inversion, determination of Eigen values and Eigen vectors.

 


Paper-III (b) : Mathematical Statistics


Mathematical Statistics
Elements of the theory of probability, Addition and Multiplication theorems, Expectations, Moments, m.g.f. (definition and application to Binomial and Poisson’s distributions), Skewness, Kurtosis, Binomial, Poisson’s and normal distributions, Interpolation (Newton's and Lagrange's formula).

Simple random sampling, Association of attributes, Yule's coefficient of association, Consistency of data, Curve fitting, Correlation, Regression lines and rank correlation coefficient. Chi square test, test of significance based on "t" and "z" test.

 


 Paper-III(c) : Spherical Trigonometry and Astronomy



Spherical Trigonometry:

Fundamental formulae of spherical trigonometry, (excluding circles and areas), Solutions of right angled triangles, Latitudes and Longitudes on the surface of the earth.


Astronomy:
Celestial sphere, Diurnal motion, Twilight, Atmospheric refraction, Meridian circle, planetary motions, Time planetary phenomenon, Precession and notation.




Paper-III (d) : Principles of Computer Science and Information Technology

Introduction to computers: Information Processing and the electronic digital computers, Information Technology, Use of computers, Computers and human beings, Generations and types of computers, Microcomputer, Input output devices, Storages devices.

Data storage and data manipulation: Storage of bits, Main memory, Coding information of storage, Storing integers, Storing functions, Communication errors, The central processing unit, Programme execution, Arithmetic/Logic instructions, Computer-Peripheral communication.

Computer Languages: Characteristics of programming languages, Machine languages, Assembly languages, High level languages, Fifth generation languages, Object oriented and visual programming.

Data communications and networks: Communications, Computers and communications, Telephone related communications, New technologies in modem, Communications protocols, Communication channels, Types of connections, Types of networks, Local area networks, Transmission models, Data encoding and decoding.






PDF of Mathematics Syllabus of B.Sc. II of Kumaun University


Source : Kumaun University

Syllabus of Mathematics for B.A. and B.Sc.II year


Syllabus of Mathematics for  B.A. and B.Sc.II year in Kumaun university

Click to download PDF of Proposed Syllabus for B. Sc. Semester program implemented from Session 2016-17 of Kumaun University for Mathematics

Paper-I : Higher and Abstract Algebra
M.M:50

Note: There shall be three sections A, B and C in this paper. Questions within all the three sections shall carry equal marks. Section A will be compulsory and objective in nature having ten questions. Marks allotted to this section shall be 10. Questions in section B shall be short answer type of 20 marks. Candidates will have to attempt four out of eight questions selecting at least one question from all the three parts (viz. Higher Algebra, Group Theory and Ring Theory). Questions in section C will be of descriptive nature of 20 marks. Candidates will have to attempt any two out of four questions. The number of questions for framing of question paper shall be 30% from Higher Algebra, 60% from Group Theory and 10% from Ring Theory. The question paper be framed proportionately from the whole syllabus.


Higher Algebra

Transformation of equations, Descarte’s rule of signs, Solution of cubic equations (Cardon’s method), Biquadratic equations, Convergence and Divergence of sequence and series.

Group Theory

Relations and binary operations on a set, Definition, Examples and simple properties of groups, Order of a group and order of an element of a group, Abelian and cyclic groups, Groups of permutations, Even and odd permutations, Symmetric group, Alternating groups.

Subgroup: Definition and simple properties (Necessary and sufficient conditions on non-empty set for being subgroups) of subgroups, Cosets of a subgroup and its properties, Quotient group of a group, Lagrange’s theorem, Corollaries of Lagrange’s theorem.

Homomorphism, Fundamental theorem of homomorphism, Kernel of homomorphism, Cayley’s theorem, Normal subgroups, Isomorphism theorems.

Ring Theory

Definition, Examples and simple results related to rings, Special rings, Integral domain, skew field and fields.

  
                         


Paper-II : Differential Equations 
M.M.:50

Differential equations of first order and first degree, Clairaut’s form, Singular solutions, Trajectories, Existence and uniqueness of the solution dy/dx= f(x,y), Initial and boundary value properties, simple applications of differential equations of first order to the problems of general interest, Linear equations with constant coefficients Simultaneous equation with constant coefficient and  of the form dx/P= dy/Q= dz/R where P, Q, R are functions of x, y,z, Homogeneous linear equations, Exact differential equations, Linear differential equations of second order with variable coefficients, Total differential equations, Solutions in series, Partial differential equations of first order, Charpit’s method, Linear partial differential equations with
constant coefficients.

                                      


Paper-III : Statics and Dynamics
M.M.:50



Statics

Centre of gravity in two and three dimensions, Strings in two dimensions (Common catenary of uniform strengths only), Virtual works, Forces in three dimensions, Central axis.


Dynamics

Kinematics, Rectilinear motions, Motion in resisting medium, Central orbits (Excluding Kepler’s Laws), Constrained motion (Circular and cycloidal motions only), Moments and products of inertia (Simple case, Theorem of parallel axis, Momental ellipsoid, Principal axes).




PDF of Mathematics Syllabus of B.Sc. II of Kumaun University

Source : Kumaun University

Syllabus of Mathematics for B.A. and B.Sc.I year

Syllabus of Mathematics for  B.A. and B.Sc.I year in Kumaun university


Click to download PDF of Proposed Syllabus for B. Sc. Semester program implemented from Session 2016-17 of Kumaun University for Mathematics


Paper-1  Matrices, Trigonometry and Vector Analysis

M.M.: 50

Note:  There   shall   be   three   sections   A,B  and   C   in   this   paper.   Questions   within   all   the   three sections shall carry equal marks. Section A will be compulsory and objective in nature having
ten   questions.   Marks   allotted   to   this   section   will   be   10.   Questions   in   section   B   will   be   short answer type of 20 marks. Candidates will have to attempt four out of eight questions selecting at
least one question  from all the three parts (viz.Matrices,Trigonometry and Vector Analysis). Question in section C will be of descriptive nature of 20 marks. Candidates will have to attempt any two out of four questions. The number of questions for framing of question paper shall  be  30%from  Matrices, 30% from   Trigonometry  and 40% from Vector Analysis. The question paper be framed proportionately from the whole syllabus.


Matrices
Symmetric, Skew-Symmetric, Hermitian and skew-Hermitian matrices, Orthogonal  and Unitary matrices, Elementary operations on matrices, Inverse of a matrix, Linear dependence of rows and columns of a matrix, Row rank, column rank and their equivalence, Rank of a matrix, Eigen     vectors,   Eigen   values   and   the  characteristics    equation    of  a  matrix,   Cayley-Hamilton theorem and its use in finding inverse of a matrix, Applications of matrices in solving system of linear(both   homogeneous   and   non-homogeneous)   equations,   Conditions   of   consistency   for   a system of linear equations.

Trigonometry

Exponential,  Logarithmic,     Circular    and   hyperbolic    functions     together   with   their
inverses,   Gregory’s   series,   Summation   of   Trigonometric   series,   Trigonometric   expansions   of
sine and cosine as infinite products(without proof).

Vector Analysis
Vector Algebra: Triple products, Reciprocal vectors, products of four vectors.
Vector  Differentiation:  Ordinary  Differentiation  of  vectors, Applications   to  mechanics  and geometry,      Differential  operators,del,  Definitions of  del,  Gradient,  Divergence,  Curl, Vector identities.
Vector integration: Line, Surface and Volume  Integrals, Simple  applications of  Gauss’s divergence theorem, Green’s theorem and Stroke’s theorem (without proof).




Paper-II  :   Calculus
M.M.: 50

Note:  There   shall   be   three   sections   A,   B   and   C   in   this   paper.   Questions   within   all   the   three sections shall carry equal marks. Section A will be compulsory and objective in nature having ten questions.   Marks   allotted   to   this   section   will   be   10.   Questions   in   section   B   will   be  short answer type of 20 marks. Candidates will have to attempt four out of eight questions selecting at least one question from two parts (viz. Differential Calculus and Integral Calculus).Question in section C will be of descriptive nature of 20 marks. Candidates will have to attempt any two out of   four   questions.   The   number of questions for framing  of   question   paper   shall   be   60% from Differential   Calculus  and  40% from Integral    Calculus. The  question  paper  be framed proportionately from the whole syllabus.


Differential Calculus
A   brief   review   of   limit,   Continuity   and   differentiability,   Rolle’s   theorem,  Mean   value theorem and their applications, intermediate value theorem, successive differentiation, Taylor’s and Maclaurin’s series expansions, Indeterminate forms, Tangents and normals of polar curves, Derivatives of arc,  Asymptotes, Curvature, Double Points, Curve tracing, Functions of  two variables,  Partial    differentiation  and change     of    independent   variables(two  variables), jacobians(simple applications-function   of  a   function   case),   Maxima   and  Minima   of  two independent variables.



Integral Calculus

Integral as limit of a sum, Fundamental theorem of  integral calculus(statement only), Beta  and Gamma  Functions, Change of order of   integration   in   double   integrals,   Drichlet’s theorem and its Liovelle’s extension, Multiple integrals, Area(quadrature), Rectification(length of curves), Volumes and Surfaces, Differentiation and integration under the integral sign.




Paper-III : Geometry of Two and Three Dimensions
M.M. 50


Two Dimensions


A   briefreview   of    general   equation   of   second   degree,   Confocal   conics        and   Points   of
contact, Polar equation of a conic, Equation of a Chord, Tangent, Normal and polar to a conic.


Three Dimensions

System of coordinates in three dimensions, change of origin, Projections, dc’s and dr’s, Change   of   axes,   Plane,   straight   Line,   intersection   of   three   panes,   Volume   of   a   tetrahedron, Sphere,     Cylinder,    Cone     central   conicoids    with   basic   fundamental      properties,    paraboloids, General equation of second degree in three dimensions. Cylindrical,   Spherical   coordinate   systems,   their   transformations  and   their   relation   to   Cartesian coordinate systems.



PDF of Mathematics Syllabus of B.Sc. I of Kumaun University


Source : Kumaun University

Syllabus of Physics for B.Sc.III


Syllabus of Physics for B.Sc. III year in kumaun university


Click to download PDF of Proposed Syllabus for B. Sc. Semester program implemented from Session 2016-17 of Kumaun University for Physics

Ist Paper: Quantum Mechanics and Relativity 
M.M. : 33


Note : This   question   paper   has   three   sections.   Section-   A consists   of fourteen   objective   type
questions, each carrying ½ Mark. All questions in this section are compulsory; Section-B consists of ten   short   answer   type   questions   carrying   2   Marks   each.   Attempt   any   seven   questions   from   this Section. Section-C consists of six long answer type questions carrying 4 Marks each. Attempt any three questions from this section. Questions are to be attempted sequentially as far as possible. All the symbols used have their usual meanings.



Quantum Mechanics 

Unit-I
Origin of quantum theory, failure of classical Physics to explain the phenomena such as black body spectrum, Photoelectric effect,its characteristics and Einstein’s explanation, Planck’s constant and particle nature of light, Compton effect.

Unit-II
De  Broglie’s hypothesis of matter waves, Davisson and Germer experiment, G. P. Thomson experiment, Taylors experiment, Group velocity and wave velocity, wave particle duality,  Principle of Complementarity, uncertainty principle, Heisenberg gamma ray  microscope , Single slit experiment.

Unit -III
Schrodinger’s     equation, Postulatory basis of quantum mechanics, Operators, Expectation values, Importance of wave function, Probability interpretation.  

Unit -IV
Applications of Schrodinger’s equation to particle in one-dimensional box, Harmonic oscillator, transmission across a potential barrier, potential well of both finite and infinite depths, Potential step.



Relativity

Unit -V
Michelson   Morley   experiment,   Galilean   Invariance,   Postulates   of   special   theory   of   relativity,
Lorentz   transformations,   Relativity   of   simultaneity,   length   contraction,   time   dilation,   law   of
addition   of   velocities   ,   variation   of   mass   with   velocity,   mass   energy   equivalence,   relativistic
kinetic energy.


Books and References :

    1.  Quantum Mechanics by L. I. Schiff, McGraw Hill Book Co.
    2. Lectures on Quantum theory by Chris. J. Isham, Allied       Publisher.
    3. Quantum Mechanics by Ghatak & Loknathan.
    4. Quantum Mechanics by Mathew & Venkatesan.
    5. Introduction to special relativity by R. Resnik.








IInd Paper :  Modern Physics  
M.M. 33

Note : This   question   Paper   has   three   Sections.   Section-A   consists   of   fourteen   objective   type
questions,   each   carrying   ½   Mark.   All   questions   in   this   section   are   compulsory,   Sections   –B
consists of ten short answer type questions carrying 2 Marks each. Attempt any seven questions from this Section. Section-C consists of six long answer type questions carrying 4 Marks each. Attempt any three questions from   this section. Questions are to be attempted sequentially as far as possible. All the symbols used have their usual meanings.


Unit-I
Electronic specific charge ‘e/m’, Thomson’s model,  Rutherford’s atomic model, Bohr’s model and  spectra   of   hydrogen   atom, fine structure and other shortcomings. Sommerfeld’s  model, Stern Gerlach experiment, Bohr Megneton, Larmor’s precession, vector atom model and spatial quantization and electron spin.

Unit-II
Optical  Spectra, spectral   notations   L-S,   J-J  coupling,    selection   rules   and   intensity   rules ,
Explanation of structure of sodium D line. Normal Zeeman effect, X-ray spectra (characteristic and continuous), Moseley’s law.

Unit-III
Luminescence, Spontaneous   and   induced  emissions, Metastable states,  Einstein  A and  B coefficients, Spatial & temporal coherence, optical pumping, population inversion. Conditions of lasing    action.  Idea   of  Laser and Maser. Examples  of Laser (Ruby Laser, He-Ne  Laser, semiconductor Laser)   and   some   applications,  Molecular spectra. Rotational, vibrational  and electronic energies of a diatomic molecule, Gross features of electronic band spectra, Brief idea of Raman effect.

Unit-IV
Structure of  nucleus ; Charge, shape, mass, energy, spin,  angular  momentum, mass defect,
Packing  fraction  and binding   energy.  Liquid drop   model and  semi   empirical  mass  formula,
Kinematics   of  nuclear  reactions,  Basic  idea  of  nuclear  fission  and  fusion,  General  idea  of
elementary particles and their classification.

Unit-V
Artificial nuclear  transmutation, Particle accelerators; Van  de Graaff  generator,  Cyclotron. Linear  accelerator  Particle  detectors; Ionization   chamber,  Proportional  counter  and  G.M. Counter. Radioactivity (Brief idea of  decay), Soddy displacement law. Law of radioactive disintegration, half-life and mean life. Radioactive dating (Specially Carbon Dating).



Books and References:

    1. Introduction   to   modern   physics-  H.S.   Mani   &   Mehta,   Allied   East   West  Press.
    2. Perspective of Modern Physics- A Beiser, Tata McGraw Hill.
    3. Modern Physics by      Ahmed & Lal, S Chand& Co.
    4. Modern Physics by       B.V. N. Rao. New Age International.
    5. Fundamentals of Modern  Physics  by     Agarwal & Agrawal, Pragati Prakashan.
    6. Basic Nuclear Physics by     B.N. Srivastav- Pragati Prakashan
    7. Atomic Spectra  -                      H.E.White
    8.  Introduction to Molecular Physics- G. M. Barrow
    9. Molecular Spectroscopy-                Banwell
    10. Laser & Non Linear Optics-            B. B. Laud






IIIrd Paper : Electronics and Solid State Devices 
M.M.34

Note : This question Paper has three Sections. Section-A consists of sixteen objective type questions,
each carrying ½ Mark. All questions in this section are compulsory, Sections –B               consists of ten short answer type questions carrying 2 Marks each. Attempt any seven questions from this Section. Section-C consists of six long answer type questions carrying 4 Marks each. Attempt any three questions from this section   Questions   are   to   be   attempted   sequentially as   far   as   possible.   All   the   symbols   used   have   their usual meanings.


Unit -I     Network analysis and Network theorems

Kirchhoff’s  laws, Series, Parallel connections,   Network theorems; Superposition, Reciprocity, Thevenins, Nortons, Maximum power transfer theorems, Low Pass and High Pass filters, Four terminal Network, Electronic Measuring Instruments- VTVM, CRO .


Unit-II         Solid State Devices

Electronic Devices:  General   idea of diode,  triode,  tetrode, pentode  and  their characteristics,
limitations. Semiconductor Devices, p-n  junction  semiconductor diodes;  Point contact, Zener,
Varactor, tunnel  diode, photo diodes, light  emitting diode. Junction  Transistors, Transistor operation, Characteristic  Curves,  common   emitter, common  base  and common collector configurations,  current  amplification,  Field   effect    transistor   MOSFETS,  UJT,   Four  layer semiconductor devices   (SCR, thyristor), thermistor.



Unit -III      Rectifiers, Power supplies and Digital electronics

HW,  FW and  bridge    rectifiers,  Filter  circuits  (Series   L.,  Shunt    C.,  L-Section,   Ï€-Section).
Unregulated PS, Regulated PS, Voltage regulation by Zener diode, Voltage multipliers, Binary, Decimal,      Hexa decimal  and  Octal  number systems    and  interconversions.  BCD,  GREY, EXCESS-3 codes, Logic gates & Boolean Algebra.


Unit-IV           Transistor Amplifiers

Classification,   Basic   Amplifier,   Load   line,   Transistor   biasing  Transistor   equivalent   circuits   (h-
Parameters). Single stage transistor amplifier, (common emitter, common base) FET amplifiers, R.C. coupled transistor amplifier, Impedance coupled & Transformer coupled amplifier, Noise and distortion in amplifiers, power amplifiers (class A, push pull, class B and class C) Decibel, Frequency response, Bandwidth.



Unit-V       Feed back Amplifiers and Oscillators

Classifications,   Negative  feed  back   and  its  advantages,  Feed  back  amplifiers   (Voltage  and
current)  positive feed back oscillators (RC phase shift and Wien bridge , Hartley, Colpitt, Tuned
collector,   Tuned   base)  Oscillators,  Negative   resistance   (Tunnel   diode  oscillator),  Crystal
oscillators,   Stability.   Relaxation   Oscillators-   Multivibrators   (astable,   monostable   and   bistable),
Schmitt Trigger, Sawtooth    generator, Blocking oscillator.

Books and References:

    1.  Elements of Electronics by    M. K. Bagde, S. P. Singh , S. Chand & Company Ltd.
    2.  Basic Electronics by                              B. L. Theraja
    3.  Elements of  Electronics by                    V. K.Mehta
    4.  Electronics and communication by          Kennedy
    5.  Communication Electronics by                Brophy




PDF file of Physics Syllabus of BSc. Kumaun University

Source : Kumaun University