# ISI Syllabus 2020 – Get ISI 2020 Complete Syllabus Here

The Indian Statistical Institute (ISI) is developed by prof Prasanta Chandra Mahalanobis in 1931. It’s the worldwide level of Institute, that is highly growing in our country for candidates to provide them with varied courses.

The Indian Statistical Institute (ISI) is providing the various undergraduate and postgraduate courses for candidates within which includes statistics, science, and technology, etc. There’s the best chance are provided for candidates to urge admission to Indian Statistical Institute.

In the varied campuses, the Indian Statistical Institute is situated for the candidates which campuses are Chennai, Tezpur, Delhi, and Bangalore. Through this article, candidates can get the complete information of Indian Statistical Institute test syllabus.

## ISI 2020 Syllabus:

Indian Statistical Institute Test Syllabus Courses:

- JRF in Computer Science
- JRF in Quality, Reliability and Operations Research
- JRF in Geology
- (QMS)
- (CS)
- JRF in Psychology
- JRF in Agricultural Chemistry and Soil Science
- JRF in Physics
- (QROR)
- JRF in Statistics
- (QE)
- (LIS)
- JRF in Mathematics
- JRF in Quantitative Economics
- JRF in Library and Information Science
- JRF in Sociology
- JRF in Linguistics
- PG Diploma in Computer Applications

### Stat.:

**Algebra:**

- Sets
- Operations on sets
- Basic probability
- Binomial Theorem
- Logarithms
- Polynomials
- Prime numbers
- Factorization of integers and divisibility
- Rational and irrational numbers
- Inequalities involving arithmetic
- Geometric & harmonic means
- Complex numbers
- Matrices and determinants
- Permutations and combinations
- Remainder Theorem
- Theory of quadratic equations and expressions
- Relations between roots and coefficients
- Arithmetic and geometric progressions

**Geometry:**

- Plane geometry
- The concept of a Locus
- Area of a triangle
- Equations of circle
- Parabola
- The geometry of 2 dimensions with Cartesian and polar coordinates
- The equation of a line
- The angle between two lines
- Distance from a point to a line
- Ellipse and hyperbola and equations of their tangents and normal
- Mensuration

**Trigonometry:**

- Measures of angles
- Solutions of trigonometric equations
- Properties of triangles
- Trigonometric and inverse trigonometric functions
- Trigonometric identities including addition formulae
- Heights and distances

**Calculus:**

- Sequences
- Tangents and normal
- Maxima and minima
- Using calculus to sketch graphs of functions
- Functions
- One-one functions
- Onto functions
- Bounded sequences
- Monotone sequences
- Limit of a sequence
- Limits and continuity
- Derivatives and methods of differentiation
- The slope of a curve
- Methods of integration
- Definite and indefinite integrals
- Evaluation of area using integrals

**M.S. (QE):**

**Syllabus for PEA (Mathematics):**

**Algebra:**

- Binomial Theorem
- Series
- Permutations and Combinations
- AP
- GP
- Theory of Polynomial Equations

**Linear Algebra:**

- Linear transformations
- Matrix representations and elementary operations
- Vector spaces
- Systems of linear equations

**Calculus:**

- Functions
- Definite and Indefinite Integrals
- Integration by parts and integration by substitution
- Convexity and quasi-convexity
- Limits
- Continuity
- Unconstrained Optimization
- Constrained optimization of functions of not more than two variables
- The implicit function theorem
- Homogeneous and homothetic functions.

**Elementary Statistics:**

- Elementary probability theory
- Probability distributions
- Measures of central tendency
- Dispersion
- Correlation and regression
- Standard distributions-Binomial and Normal.

**Syllabus for PEB (Economics):**

**Microeconomics:**

- Theory of consumer behavior
- Duopoly with Cournot and Bertrand competition
- Public goods
- Externalities
- Theory of production
- The market structure under perfect competition
- Monopoly
- Price discrimination
- General equilibrium
- Welfare economics

**Macroeconomics:**

- National income accounting
- Banking and inflation
- Phillips Curve
- Elementary open-economy macroeconomics
- Harrod-Domar
- IS-LM Model
- Models of aggregate demand and aggregate supply
- Money
- Solow
- Optimal growth models.

**ALSO READ: ISI EXAM PATTERN 2020.**

**M.S. (QMS):**

**Algebra:**

Binomial Theorem, AP, GP, HP, Exponential and Logarithmic Series, Sequence, Permutations and Combinations, Theory of Equations.

**Matrix Algebra:**

Vectors and Matrices, Matrix Operations, Determinants