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CPGET - Syllabus

Common Postgraduate Entrance Test 2020

Form Date: 13 Sep - 13 Oct 2020 (Tentative)

Pen & Paper Mode

Updated On - July 11 2020 by Latika Kalra

Candidates should go through the given mentioned information of CPGET 2020 Syllabus for better preparation:

Part A | Part B |
---|---|

Comprehension of a passage | Media Awareness |

Sentence Construction | Current Affairs |

Identifying Grammatical Errors | General Awareness |

Spelling | Words Frequently used in Media |

Antonyms and Synonyms | |

Logic and Reasoning |

- Political Science – definition, scope and Political Science as a Policy Science
- Political Science- and its relations with other social sciences – History, Economics and Sociology
- Approaches to the Study of Politics—Liberal, Marxist, Behavioral; Ideologies—Individualism, Marxism, Anarchism, Fascism and Socialism; Theories of Origin of the State – Divine, Evolutionary(Historical) and Social Contract.

- Nationalist Movement and Constitutional Development – Impact of Colonial Rule and Indian National Movement; Making of the Indian Constitution
- Philosophical Foundations and Salient Features of the Indian Constitution
- Fundamental Rights and Directive Principles – Fundamental Rights and Duties
- Directive Principles of State Policy; Relationship between Fundamental Rights and Directive Principles of State Policy

- Political Thought – Nature, Methods and Significance
- Western and Indian Political Thought – Comparison
- Ancient and Medieval Political Thought – Plato: Theory of Justice and Ideal State
- Aristotle: Classification of Governments, Theory of Revolutions and Slavery
- Manu-Dharma and Varna; Kautilya – Saptanga Theory, Mandala Theory
- Thomas Aquinas: Theory of Law
- Early Modern Western Political Thought: Church-State Controversy
- Nicolo Machiavelli as a modern political thinker and views on State Craft.

- Introduction and Theory of Consumer Behavior
- Supply and Demand Analysis
- Theory of Production
- Production Costs: Concepts and Types
- Types of Revenue and Objectives of Firm
- Perfect Competition and Monopoly
- Monopolistic Competition and Oligopoly Markets
- Pricing Strategies
- Distribution and Factor Pricing

- Introduction
- Theories of Output and Employment
- Investment & Theories of Interest Rate
- Supply of Money & Demand for Money
- Inflation & Business Cycles

- Introduction
- Public Expenditure
- Taxation & Public Debt
- Fiscal Policy & Federal Finance
- Budget

- Economic Development and Growth
- Factors in Economic Development
- Theories of Economic Development
- Theories of Under Development

- Theories of International Trade
- Trade and Growth
- Barriers to Trade
- Balance of Payments

- Business Laws
- Financial Accounting
- Corporate Accounting
- Auditing
- Fundamentals of Information Technology

- Business Economics
- Business Organization And Management
- Business Statistics
- Financial Services-Banking and Insurance
- General English
- General knowledge and current affairs

Successive Differentiation - Expansions of Functions- Mean value theorems. Indeterminate forms - Curvature and Evolutes. Partial differentiation - Homogeneous functions - Total derivative. Maxima and Minima of functions of two variables – Lagrange’s Method of multipliers – Asymptotes - Envelopes.

**Differential Equations of first order and first degree:**Exact differential equations – Integrating Factors – Change in variables – Total Differential Equations – Simultaneous Total Differential equations – Equations of the form dx dy dz P Q R. Differential Equations first order but not first degree: Equations solvable for y - Equations solvable for x - Equations that do not contain x ( or y ) – Clairaut’s Equation.**Higher order linear differential equations:**Solution of homogeneous linear differential equations with constant coefficients - Solution of non-homogeneous differential equations P(D)y = Q(x) with constant coefficients by means of polynomial operators when ( ) ax Q x be, b ax b ax Sin / Cos , k bx , ax Ve . Method of undetermined coefficients - Method of

variation of parameters - Linear differential equations with non constant coefficients - The Cauchy- Euler Equation.**Partial Differential equations:**Formation and solution- Equations easily integrable - Linear equations of first order - Non linear equations of first order - Charpit’s method Homogeneous linear partial differential equations with constant coefficient - Non homogeneous linear partial differential equations - Separation of variables.

**Sequences:**Limits of Sequences - A Discussion about Proofs - Limit Theorems for Sequences - Monotone Sequences and Cauchy Sequences. Subsequences - Lim sup’s and Lim inf’s - Series - Alternating Series and Integral Tests.**Sequences and Series of Functions:**Power Series - Uniform Convergence - More on Uniform Convergence - Differentiation and Integration of Power Series.**Integration:**The Riemann Integral - Properties of Riemann Integral - Fundamental Theorem of Calculus.

**Groups:**Definition and Examples of Groups- Elementary Properties of Groups - Finite Groups; Subgroups -Terminology and Notation -Subgroup Tests - Examples of Subgroups**Cyclic Groups:**Properties of Cyclic Groups - Classification of Subgroups Cyclic Groups**Permutation Groups:**Definition and Notation - Cycle Notation - Properties of Permutations - A Check Digit Scheme Based on D5**Isomorphisms:**Motivation - Definition and Examples - Cayley’s Theorem Properties of Isomorphisms – Automorphisms - Cosets and Lagrange’s Theorem Properties of Cosets 138 - Lagrange’s Theorem and Consequences - An Application of Cosets to Permutation Groups - The Rotation Group of a Cube and a Soccer Ball - Normal Subgroups and Factor Groups,

Normal Subgroups - Factor Groups - Applications of Factor Groups - Group Homomorphisms - Definition and Examples - Properties of Homomorphisms - The First Isomorphism Theorem.**Introduction to Rings:**Motivation and Definition - Examples of Rings - Properties of Rings – Subrings**Integral Domains:**Definition and Examples –Characteristics of a Ring - Ideals and Factor Rings; Ideals - Factor Rings - Prime Ideals and Maximal Ideals**Ring Homomorphisms:**Definition and Examples - Properties of Ring – Homomorphisms - The Field of Quotients Polynomial Rings: Notation and Terminology.

**Vector Spaces:**Vector Spaces and Subspaces - Null Spaces, Column Spaces, and Linear Transformations - Linearly Independent Sets; Bases - Coordinate Systems - The Dimension of a Vector Space. Rank-Change of Basis - Eigen values and Eigenvectors - The Characteristic Equation.**Diagonalization**- Eigenvectors and Linear Transformations - Complex Eigenvalues - Applications to Differential Equations**Orthogonality and Least Squares:**Inner Product, Length, and Orthogonality - Orthogonal Sets

**Solutions of Equations in One Variable:**The Bisection Method - Fixed-Point Iteration - Newton’s Method and Its Extensions - Error Analysis for Iterative Methods - Accelerating Convergence - Zeros of Polynomials and Mu¨ller’s Method - Survey of Methods and Software.**Interpolation and Polynomial Approximation:**Interpolation and the Lagrange Polynomial - Data Approximation and Neville’s Method - Divided Differences - Hermite

Interpolation - Cubic Spline Interpolation.**Numerical Differentiation and Integration:**Numerical Differentiation - Richardson’s Extrapolation - Elements of Numerical Integration - Composite Numerical Integration – Romberg Integration - Adaptive Quadrature Methods - Gaussian Quadrature.

Section A: Verbal Ability and General Knowledge: (Passage writing, sentence correction, synonyms, antonyms and sentence formation, etc.)

Section B: General Knowledge

Section C: Numerical Data Analysis (Involving Arithmetic, Geometry, etc.,)

Section D: Reasoning and Intelligence

Candidates can download the details **CPGET 2020 Syllabus PDF** to get idea of full syllabus.

13 Sep 2020

13 Oct 2020

22

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₹ 800

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